Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [187,2,Mod(10,187)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(187, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("187.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 187 = 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 187.m (of order \(16\), 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: | \(1.49320251780\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 10.7 | ||
Character | \(\chi\) | \(=\) | 187.10 |
Dual form | 187.2.m.a.131.7 |
$q$-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 \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(122\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.821699 | − | 0.340359i | −0.581029 | − | 0.240670i | 0.0727567 | − | 0.997350i | \(-0.476820\pi\) |
−0.653786 | + | 0.756680i | \(0.726820\pi\) | |||||||
\(3\) | −1.10085 | − | 0.735567i | −0.635578 | − | 0.424680i | 0.195602 | − | 0.980683i | \(-0.437334\pi\) |
−0.831180 | + | 0.556004i | \(0.812334\pi\) | |||||||
\(4\) | −0.854868 | − | 0.854868i | −0.427434 | − | 0.427434i | ||||
\(5\) | −1.20971 | + | 0.240627i | −0.541001 | + | 0.107612i | −0.458024 | − | 0.888940i | \(-0.651443\pi\) |
−0.0829766 | + | 0.996551i | \(0.526443\pi\) | |||||||
\(6\) | 0.654214 | + | 0.979100i | 0.267082 | + | 0.399716i | ||||
\(7\) | −0.644166 | + | 3.23844i | −0.243472 | + | 1.22402i | 0.644675 | + | 0.764457i | \(0.276993\pi\) |
−0.888147 | + | 0.459560i | \(0.848007\pi\) | |||||||
\(8\) | 1.09220 | + | 2.63681i | 0.386151 | + | 0.932251i | ||||
\(9\) | −0.477230 | − | 1.15214i | −0.159077 | − | 0.384045i | ||||
\(10\) | 1.07592 | + | 0.214014i | 0.340236 | + | 0.0676772i | ||||
\(11\) | 2.02414 | + | 2.62733i | 0.610300 | + | 0.792170i | ||||
\(12\) | 0.312272 | + | 1.56990i | 0.0901451 | + | 0.453190i | ||||
\(13\) | 1.63055 | + | 1.63055i | 0.452232 | + | 0.452232i | 0.896095 | − | 0.443863i | \(-0.146392\pi\) |
−0.443863 | + | 0.896095i | \(0.646392\pi\) | |||||||
\(14\) | 1.63154 | − | 2.44178i | 0.436049 | − | 0.652593i | ||||
\(15\) | 1.50872 | + | 0.624931i | 0.389549 | + | 0.161356i | ||||
\(16\) | − | 0.120470i | − | 0.0301175i | ||||||
\(17\) | −3.82367 | + | 1.54259i | −0.927375 | + | 0.374133i | ||||
\(18\) | 1.10914i | 0.261427i | ||||||||
\(19\) | −0.142777 | − | 0.0591403i | −0.0327553 | − | 0.0135677i | 0.366246 | − | 0.930518i | \(-0.380643\pi\) |
−0.399001 | + | 0.916951i | \(0.630643\pi\) | |||||||
\(20\) | 1.23985 | + | 0.828442i | 0.277239 | + | 0.185245i | ||||
\(21\) | 3.09122 | − | 3.09122i | 0.674560 | − | 0.674560i | ||||
\(22\) | −0.768995 | − | 2.84781i | −0.163950 | − | 0.607155i | ||||
\(23\) | −3.92070 | + | 2.61973i | −0.817523 | + | 0.546252i | −0.892560 | − | 0.450929i | \(-0.851093\pi\) |
0.0750364 | + | 0.997181i | \(0.476093\pi\) | |||||||
\(24\) | 0.737194 | − | 3.70612i | 0.150479 | − | 0.756509i | ||||
\(25\) | −3.21389 | + | 1.33124i | −0.642778 | + | 0.266247i | ||||
\(26\) | −0.784847 | − | 1.89479i | −0.153921 | − | 0.371599i | ||||
\(27\) | −1.09700 | + | 5.51500i | −0.211118 | + | 1.06136i | ||||
\(28\) | 3.31912 | − | 2.21776i | 0.627254 | − | 0.419118i | ||||
\(29\) | −10.4724 | + | 2.08309i | −1.94468 | + | 0.386820i | −0.946789 | + | 0.321854i | \(0.895694\pi\) |
−0.997887 | + | 0.0649660i | \(0.979306\pi\) | |||||||
\(30\) | −1.02701 | − | 1.02701i | −0.187506 | − | 0.187506i | ||||
\(31\) | 4.58202 | − | 6.85748i | 0.822955 | − | 1.23164i | −0.147188 | − | 0.989108i | \(-0.547022\pi\) |
0.970144 | − | 0.242531i | \(-0.0779776\pi\) | |||||||
\(32\) | 2.14340 | − | 5.17462i | 0.378903 | − | 0.914752i | ||||
\(33\) | −0.295700 | − | 4.38119i | −0.0514747 | − | 0.762668i | ||||
\(34\) | 3.66694 | + | 0.0338745i | 0.628875 | + | 0.00580943i | ||||
\(35\) | − | 4.07260i | − | 0.688394i | ||||||
\(36\) | −0.576955 | + | 1.39289i | −0.0961592 | + | 0.232149i | ||||
\(37\) | 3.24498 | + | 2.16822i | 0.533471 | + | 0.356454i | 0.792942 | − | 0.609297i | \(-0.208548\pi\) |
−0.259471 | + | 0.965751i | \(0.583548\pi\) | |||||||
\(38\) | 0.0971910 | + | 0.0971910i | 0.0157665 | + | 0.0157665i | ||||
\(39\) | −0.595616 | − | 2.99437i | −0.0953750 | − | 0.479482i | ||||
\(40\) | −1.95574 | − | 2.92697i | −0.309229 | − | 0.462794i | ||||
\(41\) | −1.14921 | + | 5.77744i | −0.179476 | + | 0.902285i | 0.781130 | + | 0.624369i | \(0.214644\pi\) |
−0.960605 | + | 0.277916i | \(0.910356\pi\) | |||||||
\(42\) | −3.59218 | + | 1.48793i | −0.554286 | + | 0.229593i | ||||
\(43\) | 2.89603 | − | 1.19958i | 0.441641 | − | 0.182933i | −0.150772 | − | 0.988569i | \(-0.548176\pi\) |
0.592412 | + | 0.805635i | \(0.298176\pi\) | |||||||
\(44\) | 0.515652 | − | 3.97639i | 0.0777375 | − | 0.599463i | ||||
\(45\) | 0.854548 | + | 1.27892i | 0.127388 | + | 0.190650i | ||||
\(46\) | 4.11329 | − | 0.818184i | 0.606471 | − | 0.120635i | ||||
\(47\) | 1.61330 | − | 1.61330i | 0.235324 | − | 0.235324i | −0.579587 | − | 0.814911i | \(-0.696786\pi\) |
0.814911 | + | 0.579587i | \(0.196786\pi\) | |||||||
\(48\) | −0.0886138 | + | 0.132620i | −0.0127903 | + | 0.0191420i | ||||
\(49\) | −3.60541 | − | 1.49341i | −0.515058 | − | 0.213344i | ||||
\(50\) | 3.09395 | 0.437551 | ||||||||
\(51\) | 5.34397 | + | 1.11440i | 0.748306 | + | 0.156047i | ||||
\(52\) | − | 2.78780i | − | 0.386599i | ||||||
\(53\) | 1.53381 | − | 3.70294i | 0.210684 | − | 0.508637i | −0.782844 | − | 0.622218i | \(-0.786232\pi\) |
0.993529 | + | 0.113580i | \(0.0362319\pi\) | |||||||
\(54\) | 2.77849 | − | 4.15830i | 0.378104 | − | 0.565873i | ||||
\(55\) | −3.08083 | − | 2.69126i | −0.415420 | − | 0.362889i | ||||
\(56\) | −9.24270 | + | 1.83849i | −1.23511 | + | 0.245678i | ||||
\(57\) | 0.113675 | + | 0.170127i | 0.0150566 | + | 0.0225339i | ||||
\(58\) | 9.31417 | + | 1.85270i | 1.22301 | + | 0.243272i | ||||
\(59\) | −8.26728 | + | 3.42442i | −1.07631 | + | 0.445822i | −0.849213 | − | 0.528051i | \(-0.822923\pi\) |
−0.227096 | + | 0.973872i | \(0.572923\pi\) | |||||||
\(60\) | −0.755520 | − | 1.82399i | −0.0975372 | − | 0.235476i | ||||
\(61\) | −11.0781 | − | 2.20357i | −1.41841 | − | 0.282139i | −0.574446 | − | 0.818543i | \(-0.694782\pi\) |
−0.843961 | + | 0.536404i | \(0.819782\pi\) | |||||||
\(62\) | −6.09905 | + | 4.07525i | −0.774580 | + | 0.517558i | ||||
\(63\) | 4.03854 | − | 0.803316i | 0.508809 | − | 0.101208i | ||||
\(64\) | −3.69283 | + | 3.69283i | −0.461604 | + | 0.461604i | ||||
\(65\) | −2.36485 | − | 1.58014i | −0.293323 | − | 0.195992i | ||||
\(66\) | −1.24820 | + | 3.70067i | −0.153643 | + | 0.455521i | ||||
\(67\) | − | 8.67662i | − | 1.06002i | −0.847992 | − | 0.530009i | \(-0.822189\pi\) | ||
0.847992 | − | 0.530009i | \(-0.177811\pi\) | |||||||
\(68\) | 4.58744 | + | 1.95002i | 0.556309 | + | 0.236475i | ||||
\(69\) | 6.24311 | 0.751582 | ||||||||
\(70\) | −1.38614 | + | 3.34645i | −0.165676 | + | 0.399977i | ||||
\(71\) | 8.51952 | + | 5.69256i | 1.01108 | + | 0.675583i | 0.946625 | − | 0.322338i | \(-0.104469\pi\) |
0.0644562 | + | 0.997921i | \(0.479469\pi\) | |||||||
\(72\) | 2.51673 | − | 2.51673i | 0.296599 | − | 0.296599i | ||||
\(73\) | 2.45632 | + | 12.3487i | 0.287490 | + | 1.44531i | 0.806851 | + | 0.590755i | \(0.201170\pi\) |
−0.519361 | + | 0.854555i | \(0.673830\pi\) | |||||||
\(74\) | −1.92842 | − | 2.88608i | −0.224174 | − | 0.335500i | ||||
\(75\) | 4.51724 | + | 0.898534i | 0.521605 | + | 0.103754i | ||||
\(76\) | 0.0714986 | + | 0.172613i | 0.00820145 | + | 0.0198000i | ||||
\(77\) | −9.81235 | + | 4.86261i | −1.11822 | + | 0.554146i | ||||
\(78\) | −0.529742 | + | 2.66319i | −0.0599815 | + | 0.301547i | ||||
\(79\) | 11.6242 | − | 7.76701i | 1.30782 | − | 0.873857i | 0.310760 | − | 0.950488i | \(-0.399416\pi\) |
0.997060 | + | 0.0766310i | \(0.0244163\pi\) | |||||||
\(80\) | 0.0289884 | + | 0.145734i | 0.00324100 | + | 0.0162936i | ||||
\(81\) | 2.61887 | − | 2.61887i | 0.290986 | − | 0.290986i | ||||
\(82\) | 2.91071 | − | 4.35618i | 0.321434 | − | 0.481060i | ||||
\(83\) | −4.49667 | + | 10.8559i | −0.493574 | + | 1.19159i | 0.459315 | + | 0.888273i | \(0.348095\pi\) |
−0.952889 | + | 0.303319i | \(0.901905\pi\) | |||||||
\(84\) | −5.28518 | −0.576660 | ||||||||
\(85\) | 4.25435 | − | 2.78617i | 0.461450 | − | 0.302203i | ||||
\(86\) | −2.78795 | −0.300633 | ||||||||
\(87\) | 13.0608 | + | 5.40998i | 1.40027 | + | 0.580010i | ||||
\(88\) | −4.71700 | + | 8.20683i | −0.502834 | + | 0.874851i | ||||
\(89\) | −1.93717 | − | 1.93717i | −0.205340 | − | 0.205340i | 0.596943 | − | 0.802283i | \(-0.296382\pi\) |
−0.802283 | + | 0.596943i | \(0.796382\pi\) | |||||||
\(90\) | −0.266889 | − | 1.34174i | −0.0281326 | − | 0.141432i | ||||
\(91\) | −6.33077 | + | 4.23009i | −0.663645 | + | 0.443433i | ||||
\(92\) | 5.59121 | + | 1.11216i | 0.582924 | + | 0.115951i | ||||
\(93\) | −10.0883 | + | 4.17870i | −1.04610 | + | 0.433311i | ||||
\(94\) | −1.87475 | + | 0.776546i | −0.193365 | + | 0.0800946i | ||||
\(95\) | 0.186950 | + | 0.0371868i | 0.0191807 | + | 0.00381528i | ||||
\(96\) | −6.16585 | + | 4.11989i | −0.629299 | + | 0.420484i | ||||
\(97\) | 2.36816 | + | 11.9056i | 0.240451 | + | 1.20883i | 0.892640 | + | 0.450771i | \(0.148851\pi\) |
−0.652189 | + | 0.758056i | \(0.726149\pi\) | |||||||
\(98\) | 2.45427 | + | 2.45427i | 0.247918 | + | 0.247918i | ||||
\(99\) | 2.06106 | − | 3.58592i | 0.207145 | − | 0.360399i | ||||
\(100\) | 3.88548 | + | 1.60942i | 0.388548 | + | 0.160942i | ||||
\(101\) | −6.27550 | −0.624435 | −0.312218 | − | 0.950011i | \(-0.601072\pi\) | ||||
−0.312218 | + | 0.950011i | \(0.601072\pi\) | |||||||
\(102\) | −4.01184 | − | 2.73457i | −0.397232 | − | 0.270763i | ||||
\(103\) | −2.34754 | −0.231310 | −0.115655 | − | 0.993289i | \(-0.536897\pi\) | ||||
−0.115655 | + | 0.993289i | \(0.536897\pi\) | |||||||
\(104\) | −2.51855 | + | 6.08031i | −0.246964 | + | 0.596224i | ||||
\(105\) | −2.99567 | + | 4.48333i | −0.292347 | + | 0.437528i | ||||
\(106\) | −2.52066 | + | 2.52066i | −0.244828 | + | 0.244828i | ||||
\(107\) | −1.11784 | − | 5.61975i | −0.108065 | − | 0.543281i | −0.996450 | − | 0.0841822i | \(-0.973172\pi\) |
0.888385 | − | 0.459099i | \(-0.151828\pi\) | |||||||
\(108\) | 5.65239 | − | 3.77681i | 0.543902 | − | 0.363423i | ||||
\(109\) | 1.45208 | − | 7.30009i | 0.139084 | − | 0.699222i | −0.846816 | − | 0.531886i | \(-0.821484\pi\) |
0.985900 | − | 0.167336i | \(-0.0535165\pi\) | |||||||
\(110\) | 1.61553 | + | 3.26000i | 0.154034 | + | 0.310828i | ||||
\(111\) | −1.97737 | − | 4.77379i | −0.187684 | − | 0.453108i | ||||
\(112\) | 0.390136 | + | 0.0776028i | 0.0368644 | + | 0.00733278i | ||||
\(113\) | −1.44349 | − | 2.16033i | −0.135792 | − | 0.203227i | 0.757341 | − | 0.653019i | \(-0.226498\pi\) |
−0.893133 | + | 0.449792i | \(0.851498\pi\) | |||||||
\(114\) | −0.0355026 | − | 0.178484i | −0.00332512 | − | 0.0167165i | ||||
\(115\) | 4.11255 | − | 4.11255i | 0.383498 | − | 0.383498i | ||||
\(116\) | 10.7333 | + | 7.17176i | 0.996561 | + | 0.665881i | ||||
\(117\) | 1.10046 | − | 2.65676i | 0.101738 | − | 0.245617i | ||||
\(118\) | 7.95876 | 0.732663 | ||||||||
\(119\) | −2.53251 | − | 13.3764i | −0.232155 | − | 1.22621i | ||||
\(120\) | 4.66074i | 0.425465i | ||||||||
\(121\) | −2.80574 | + | 10.6362i | −0.255068 | + | 0.966923i | ||||
\(122\) | 8.35287 | + | 5.58121i | 0.756233 | + | 0.505299i | ||||
\(123\) | 5.51480 | − | 5.51480i | 0.497253 | − | 0.497253i | ||||
\(124\) | −9.77926 | + | 1.94522i | −0.878204 | + | 0.174686i | ||||
\(125\) | 8.69529 | − | 5.81001i | 0.777730 | − | 0.519663i | ||||
\(126\) | −3.59188 | − | 0.714470i | −0.319991 | − | 0.0636501i | ||||
\(127\) | 3.34365 | + | 8.07229i | 0.296701 | + | 0.716300i | 0.999985 | + | 0.00539138i | \(0.00171614\pi\) |
−0.703284 | + | 0.710909i | \(0.748284\pi\) | |||||||
\(128\) | −6.05796 | + | 2.50929i | −0.535453 | + | 0.221792i | ||||
\(129\) | −4.07047 | − | 0.809667i | −0.358385 | − | 0.0712872i | ||||
\(130\) | 1.40538 | + | 2.10330i | 0.123260 | + | 0.184471i | ||||
\(131\) | 1.50320 | − | 0.299005i | 0.131335 | − | 0.0261242i | −0.128985 | − | 0.991647i | \(-0.541172\pi\) |
0.260320 | + | 0.965522i | \(0.416172\pi\) | |||||||
\(132\) | −3.49256 | + | 3.99813i | −0.303988 | + | 0.347992i | ||||
\(133\) | 0.283495 | − | 0.424280i | 0.0245821 | − | 0.0367897i | ||||
\(134\) | −2.95317 | + | 7.12958i | −0.255115 | + | 0.615902i | ||||
\(135\) | − | 6.93555i | − | 0.596917i | ||||||
\(136\) | −8.24372 | − | 8.39745i | −0.706893 | − | 0.720075i | ||||
\(137\) | 9.97809 | 0.852486 | 0.426243 | − | 0.904609i | \(-0.359837\pi\) | ||||
0.426243 | + | 0.904609i | \(0.359837\pi\) | |||||||
\(138\) | −5.12996 | − | 2.12490i | −0.436691 | − | 0.180883i | ||||
\(139\) | 2.04787 | − | 3.06486i | 0.173698 | − | 0.259958i | −0.734398 | − | 0.678719i | \(-0.762535\pi\) |
0.908096 | + | 0.418761i | \(0.137535\pi\) | |||||||
\(140\) | −3.48153 | + | 3.48153i | −0.294243 | + | 0.294243i | ||||
\(141\) | −2.96269 | + | 0.589316i | −0.249504 | + | 0.0496294i | ||||
\(142\) | −5.06297 | − | 7.57727i | −0.424875 | − | 0.635870i | ||||
\(143\) | −0.983537 | + | 7.58443i | −0.0822475 | + | 0.634242i | ||||
\(144\) | −0.138798 | + | 0.0574920i | −0.0115665 | + | 0.00479100i | ||||
\(145\) | 12.1674 | − | 5.03989i | 1.01045 | − | 0.418540i | ||||
\(146\) | 2.18465 | − | 10.9830i | 0.180803 | − | 0.908957i | ||||
\(147\) | 2.87052 | + | 4.29604i | 0.236757 | + | 0.354332i | ||||
\(148\) | −0.920481 | − | 4.62757i | −0.0756631 | − | 0.380384i | ||||
\(149\) | −13.6015 | − | 13.6015i | −1.11428 | − | 1.11428i | −0.992565 | − | 0.121712i | \(-0.961161\pi\) |
−0.121712 | − | 0.992565i | \(-0.538839\pi\) | |||||||
\(150\) | −3.40599 | − | 2.27581i | −0.278098 | − | 0.185819i | ||||
\(151\) | 6.08169 | − | 14.6825i | 0.494921 | − | 1.19484i | −0.457267 | − | 0.889330i | \(-0.651172\pi\) |
0.952187 | − | 0.305515i | \(-0.0988285\pi\) | |||||||
\(152\) | − | 0.441069i | − | 0.0357754i | ||||||
\(153\) | 3.60204 | + | 3.66921i | 0.291208 | + | 0.296638i | ||||
\(154\) | 9.71783 | − | 0.655885i | 0.783085 | − | 0.0528527i | ||||
\(155\) | −3.89284 | + | 9.39815i | −0.312681 | + | 0.754878i | ||||
\(156\) | −2.05061 | + | 3.06896i | −0.164181 | + | 0.245714i | ||||
\(157\) | −8.01536 | − | 8.01536i | −0.639695 | − | 0.639695i | 0.310785 | − | 0.950480i | \(-0.399408\pi\) |
−0.950480 | + | 0.310785i | \(0.899408\pi\) | |||||||
\(158\) | −12.1951 | + | 2.42576i | −0.970193 | + | 0.192983i | ||||
\(159\) | −4.41225 | + | 2.94817i | −0.349914 | + | 0.233805i | ||||
\(160\) | −1.34775 | + | 6.77557i | −0.106549 | + | 0.535656i | ||||
\(161\) | −5.95826 | − | 14.3845i | −0.469577 | − | 1.13366i | ||||
\(162\) | −3.04328 | + | 1.26057i | −0.239103 | + | 0.0990396i | ||||
\(163\) | −2.79301 | + | 14.0414i | −0.218766 | + | 1.09981i | 0.702741 | + | 0.711446i | \(0.251959\pi\) |
−0.921506 | + | 0.388363i | \(0.873041\pi\) | |||||||
\(164\) | 5.92137 | − | 3.95653i | 0.462381 | − | 0.308953i | ||||
\(165\) | 1.41195 | + | 5.22884i | 0.109920 | + | 0.407065i | ||||
\(166\) | 7.38983 | − | 7.38983i | 0.573562 | − | 0.573562i | ||||
\(167\) | 5.35109 | + | 3.57548i | 0.414080 | + | 0.276679i | 0.745111 | − | 0.666941i | \(-0.232397\pi\) |
−0.331031 | + | 0.943620i | \(0.607397\pi\) | |||||||
\(168\) | 11.5272 | + | 4.77472i | 0.889342 | + | 0.368378i | ||||
\(169\) | − | 7.68264i | − | 0.590973i | ||||||
\(170\) | −4.44410 | + | 0.841386i | −0.340847 | + | 0.0645314i | ||||
\(171\) | 0.192722i | 0.0147378i | ||||||||
\(172\) | −3.50120 | − | 1.45025i | −0.266964 | − | 0.110580i | ||||
\(173\) | 12.2307 | − | 18.3046i | 0.929885 | − | 1.39167i | 0.00979980 | − | 0.999952i | \(-0.496881\pi\) |
0.920085 | − | 0.391719i | \(-0.128119\pi\) | |||||||
\(174\) | −8.89075 | − | 8.89075i | −0.674006 | − | 0.674006i | ||||
\(175\) | −2.24085 | − | 11.2655i | −0.169393 | − | 0.851595i | ||||
\(176\) | 0.316515 | − | 0.243848i | 0.0238582 | − | 0.0183807i | ||||
\(177\) | 11.6200 | + | 2.31135i | 0.873410 | + | 0.173732i | ||||
\(178\) | 0.932440 | + | 2.25111i | 0.0698893 | + | 0.168728i | ||||
\(179\) | 4.04519 | + | 9.76595i | 0.302352 | + | 0.729941i | 0.999910 | + | 0.0134135i | \(0.00426977\pi\) |
−0.697558 | + | 0.716528i | \(0.745730\pi\) | |||||||
\(180\) | 0.362783 | − | 1.82383i | 0.0270403 | − | 0.135941i | ||||
\(181\) | −1.91603 | − | 2.86754i | −0.142417 | − | 0.213142i | 0.753403 | − | 0.657559i | \(-0.228411\pi\) |
−0.895820 | + | 0.444417i | \(0.853411\pi\) | |||||||
\(182\) | 6.64174 | − | 1.32112i | 0.492318 | − | 0.0979282i | ||||
\(183\) | 10.5745 | + | 10.5745i | 0.781690 | + | 0.781690i | ||||
\(184\) | −11.1899 | − | 7.47686i | −0.824931 | − | 0.551202i | ||||
\(185\) | −4.44723 | − | 1.84210i | −0.326967 | − | 0.135434i | ||||
\(186\) | 9.71178 | 0.712102 | ||||||||
\(187\) | −11.7925 | − | 6.92363i | −0.862354 | − | 0.506306i | ||||
\(188\) | −2.75831 | −0.201171 | ||||||||
\(189\) | −17.1534 | − | 7.10516i | −1.24772 | − | 0.516824i | ||||
\(190\) | −0.140960 | − | 0.0941866i | −0.0102263 | − | 0.00683301i | ||||
\(191\) | 12.1017 | + | 12.1017i | 0.875650 | + | 0.875650i | 0.993081 | − | 0.117431i | \(-0.0374660\pi\) |
−0.117431 | + | 0.993081i | \(0.537466\pi\) | |||||||
\(192\) | 6.78158 | − | 1.34894i | 0.489419 | − | 0.0973514i | ||||
\(193\) | −0.108594 | − | 0.162522i | −0.00781674 | − | 0.0116986i | 0.827541 | − | 0.561406i | \(-0.189739\pi\) |
−0.835357 | + | 0.549707i | \(0.814739\pi\) | |||||||
\(194\) | 2.10625 | − | 10.5888i | 0.151220 | − | 0.760233i | ||||
\(195\) | 1.44105 | + | 3.47901i | 0.103196 | + | 0.249137i | ||||
\(196\) | 1.80548 | + | 4.35881i | 0.128963 | + | 0.311344i | ||||
\(197\) | 3.06068 | + | 0.608807i | 0.218064 | + | 0.0433757i | 0.302913 | − | 0.953018i | \(-0.402041\pi\) |
−0.0848490 | + | 0.996394i | \(0.527041\pi\) | |||||||
\(198\) | −2.91408 | + | 2.24505i | −0.207094 | + | 0.159549i | ||||
\(199\) | 2.58233 | + | 12.9823i | 0.183057 | + | 0.920288i | 0.957673 | + | 0.287857i | \(0.0929427\pi\) |
−0.774617 | + | 0.632431i | \(0.782057\pi\) | |||||||
\(200\) | −7.02042 | − | 7.02042i | −0.496419 | − | 0.496419i | ||||
\(201\) | −6.38224 | + | 9.55169i | −0.450168 | + | 0.673724i | ||||
\(202\) | 5.15657 | + | 2.13592i | 0.362815 | + | 0.150283i | ||||
\(203\) | − | 35.2561i | − | 2.47450i | ||||||
\(204\) | −3.61573 | − | 5.52105i | −0.253152 | − | 0.386551i | ||||
\(205\) | − | 7.26559i | − | 0.507451i | ||||||
\(206\) | 1.92897 | + | 0.799005i | 0.134398 | + | 0.0556693i | ||||
\(207\) | 4.88937 | + | 3.26697i | 0.339834 | + | 0.227070i | ||||
\(208\) | 0.196432 | − | 0.196432i | 0.0136201 | − | 0.0136201i | ||||
\(209\) | −0.133619 | − | 0.494831i | −0.00924265 | − | 0.0342282i | ||||
\(210\) | 3.98748 | − | 2.66435i | 0.275162 | − | 0.183858i | ||||
\(211\) | −0.540621 | + | 2.71788i | −0.0372179 | + | 0.187107i | −0.994922 | − | 0.100647i | \(-0.967909\pi\) |
0.957704 | + | 0.287754i | \(0.0929086\pi\) | |||||||
\(212\) | −4.47672 | + | 1.85432i | −0.307463 | + | 0.127355i | ||||
\(213\) | −5.19148 | − | 12.5334i | −0.355715 | − | 0.858771i | ||||
\(214\) | −0.994206 | + | 4.99821i | −0.0679625 | + | 0.341671i | ||||
\(215\) | −3.21472 | + | 2.14801i | −0.219242 | + | 0.146493i | ||||
\(216\) | −15.7401 | + | 3.13091i | −1.07098 | + | 0.213031i | ||||
\(217\) | 19.2560 | + | 19.2560i | 1.30718 | + | 1.30718i | ||||
\(218\) | −3.67782 | + | 5.50425i | −0.249094 | + | 0.372795i | ||||
\(219\) | 6.37927 | − | 15.4009i | 0.431071 | − | 1.04070i | ||||
\(220\) | 0.333035 | + | 4.93438i | 0.0224532 | + | 0.332676i | ||||
\(221\) | −8.74992 | − | 3.71940i | −0.588583 | − | 0.250194i | ||||
\(222\) | 4.59564i | 0.308439i | ||||||||
\(223\) | −8.02853 | + | 19.3826i | −0.537630 | + | 1.29795i | 0.388742 | + | 0.921347i | \(0.372910\pi\) |
−0.926373 | + | 0.376608i | \(0.877090\pi\) | |||||||
\(224\) | 15.3770 | + | 10.2746i | 1.02742 | + | 0.686500i | ||||
\(225\) | 3.06753 | + | 3.06753i | 0.204502 | + | 0.204502i | ||||
\(226\) | 0.450825 | + | 2.26645i | 0.0299884 | + | 0.150762i | ||||
\(227\) | 3.88526 | + | 5.81470i | 0.257873 | + | 0.385935i | 0.937704 | − | 0.347434i | \(-0.112947\pi\) |
−0.679831 | + | 0.733369i | \(0.737947\pi\) | |||||||
\(228\) | 0.0482588 | − | 0.242613i | 0.00319602 | − | 0.0160675i | ||||
\(229\) | 0.503243 | − | 0.208450i | 0.0332552 | − | 0.0137748i | −0.365994 | − | 0.930617i | \(-0.619271\pi\) |
0.399249 | + | 0.916843i | \(0.369271\pi\) | |||||||
\(230\) | −4.77903 | + | 1.97954i | −0.315120 | + | 0.130527i | ||||
\(231\) | 14.3787 | + | 1.86461i | 0.946051 | + | 0.122682i | ||||
\(232\) | −16.9307 | − | 25.3385i | −1.11155 | − | 1.66356i | ||||
\(233\) | −2.16472 | + | 0.430589i | −0.141815 | + | 0.0282088i | −0.265488 | − | 0.964114i | \(-0.585533\pi\) |
0.123672 | + | 0.992323i | \(0.460533\pi\) | |||||||
\(234\) | −1.80850 | + | 1.80850i | −0.118225 | + | 0.118225i | ||||
\(235\) | −1.56343 | + | 2.33983i | −0.101987 | + | 0.152634i | ||||
\(236\) | 9.99486 | + | 4.14001i | 0.650610 | + | 0.269492i | ||||
\(237\) | −18.5097 | −1.20233 | ||||||||
\(238\) | −2.47182 | + | 11.8533i | −0.160224 | + | 0.768339i | ||||
\(239\) | 7.40380i | 0.478912i | 0.970907 | + | 0.239456i | \(0.0769691\pi\) | ||||
−0.970907 | + | 0.239456i | \(0.923031\pi\) | |||||||
\(240\) | 0.0752855 | − | 0.181755i | 0.00485966 | − | 0.0117322i | ||||
\(241\) | −15.7787 | + | 23.6145i | −1.01639 | + | 1.52114i | −0.172229 | + | 0.985057i | \(0.555097\pi\) |
−0.844165 | + | 0.536084i | \(0.819903\pi\) | |||||||
\(242\) | 5.92559 | − | 7.78476i | 0.380911 | − | 0.500423i | ||||
\(243\) | 11.7357 | − | 2.33437i | 0.752843 | − | 0.149750i | ||||
\(244\) | 7.58656 | + | 11.3541i | 0.485680 | + | 0.726871i | ||||
\(245\) | 4.72087 | + | 0.939039i | 0.301605 | + | 0.0599930i | ||||
\(246\) | −6.40852 | + | 2.65450i | −0.408593 | + | 0.169245i | ||||
\(247\) | −0.136374 | − | 0.329236i | −0.00867726 | − | 0.0209488i | ||||
\(248\) | 23.0863 | + | 4.59215i | 1.46598 | + | 0.291602i | ||||
\(249\) | 12.9354 | − | 8.64318i | 0.819750 | − | 0.547739i | ||||
\(250\) | −9.12240 | + | 1.81456i | −0.576951 | + | 0.114763i | ||||
\(251\) | −10.4073 | + | 10.4073i | −0.656900 | + | 0.656900i | −0.954645 | − | 0.297745i | \(-0.903765\pi\) |
0.297745 | + | 0.954645i | \(0.403765\pi\) | |||||||
\(252\) | −4.13915 | − | 2.76569i | −0.260742 | − | 0.174222i | ||||
\(253\) | −14.8189 | − | 4.99830i | −0.931659 | − | 0.314240i | ||||
\(254\) | − | 7.77104i | − | 0.487598i | ||||||
\(255\) | −6.73284 | − | 0.0621967i | −0.421627 | − | 0.00389491i | ||||
\(256\) | 16.2768 | 1.01730 | ||||||||
\(257\) | 4.74982 | − | 11.4671i | 0.296286 | − | 0.715297i | −0.703703 | − | 0.710494i | \(-0.748471\pi\) |
0.999988 | − | 0.00480222i | \(-0.00152860\pi\) | |||||||
\(258\) | 3.06913 | + | 2.05073i | 0.191076 | + | 0.127673i | ||||
\(259\) | −9.11197 | + | 9.11197i | −0.566190 | + | 0.566190i | ||||
\(260\) | 0.670821 | + | 3.37244i | 0.0416025 | + | 0.209150i | ||||
\(261\) | 7.39775 | + | 11.0715i | 0.457909 | + | 0.685310i | ||||
\(262\) | −1.33695 | − | 0.265936i | −0.0825970 | − | 0.0164296i | ||||
\(263\) | −3.60966 | − | 8.71449i | −0.222581 | − | 0.537359i | 0.772658 | − | 0.634823i | \(-0.218927\pi\) |
−0.995239 | + | 0.0974642i | \(0.968927\pi\) | |||||||
\(264\) | 11.2294 | − | 5.56485i | 0.691121 | − | 0.342493i | ||||
\(265\) | −0.964441 | + | 4.84857i | −0.0592451 | + | 0.297845i | ||||
\(266\) | −0.377355 | + | 0.252140i | −0.0231371 | + | 0.0154597i | ||||
\(267\) | 0.707624 | + | 3.55747i | 0.0433059 | + | 0.217713i | ||||
\(268\) | −7.41737 | + | 7.41737i | −0.453088 | + | 0.453088i | ||||
\(269\) | 2.24398 | − | 3.35836i | 0.136818 | − | 0.204763i | −0.756733 | − | 0.653724i | \(-0.773206\pi\) |
0.893551 | + | 0.448961i | \(0.148206\pi\) | |||||||
\(270\) | −2.36058 | + | 5.69894i | −0.143660 | + | 0.346826i | ||||
\(271\) | 19.0447 | 1.15688 | 0.578441 | − | 0.815724i | \(-0.303661\pi\) | ||||
0.578441 | + | 0.815724i | \(0.303661\pi\) | |||||||
\(272\) | 0.185836 | + | 0.460638i | 0.0112680 | + | 0.0279303i | ||||
\(273\) | 10.0808 | 0.610115 | ||||||||
\(274\) | −8.19899 | − | 3.39613i | −0.495319 | − | 0.205168i | ||||
\(275\) | −10.0030 | − | 5.74935i | −0.603201 | − | 0.346699i | ||||
\(276\) | −5.33703 | − | 5.33703i | −0.321252 | − | 0.321252i | ||||
\(277\) | 3.06680 | + | 15.4179i | 0.184266 | + | 0.926370i | 0.956656 | + | 0.291220i | \(0.0940613\pi\) |
−0.772390 | + | 0.635149i | \(0.780939\pi\) | |||||||
\(278\) | −2.72589 | + | 1.82138i | −0.163488 | + | 0.109239i | ||||
\(279\) | −10.0874 | − | 2.00651i | −0.603919 | − | 0.120127i | ||||
\(280\) | 10.7386 | − | 4.44809i | 0.641757 | − | 0.265824i | ||||
\(281\) | 17.8139 | − | 7.37876i | 1.06269 | − | 0.440180i | 0.218284 | − | 0.975885i | \(-0.429954\pi\) |
0.844405 | + | 0.535705i | \(0.179954\pi\) | |||||||
\(282\) | 2.63502 | + | 0.524139i | 0.156913 | + | 0.0312120i | ||||
\(283\) | −24.1529 | + | 16.1385i | −1.43574 | + | 0.959331i | −0.437551 | + | 0.899194i | \(0.644154\pi\) |
−0.998190 | + | 0.0601378i | \(0.980846\pi\) | |||||||
\(284\) | −2.41668 | − | 12.1495i | −0.143403 | − | 0.720937i | ||||
\(285\) | −0.178452 | − | 0.178452i | −0.0105706 | − | 0.0105706i | ||||
\(286\) | 3.38960 | − | 5.89736i | 0.200431 | − | 0.348719i | ||||
\(287\) | −17.9696 | − | 7.44327i | −1.06071 | − | 0.439362i | ||||
\(288\) | −6.98476 | −0.411581 | ||||||||
\(289\) | 12.2408 | − | 11.7967i | 0.720049 | − | 0.693923i | ||||
\(290\) | −11.7133 | −0.687828 | ||||||||
\(291\) | 6.15034 | − | 14.8482i | 0.360539 | − | 0.870418i | ||||
\(292\) | 8.45671 | − | 12.6564i | 0.494891 | − | 0.740657i | ||||
\(293\) | −11.1082 | + | 11.1082i | −0.648946 | + | 0.648946i | −0.952738 | − | 0.303792i | \(-0.901747\pi\) |
0.303792 | + | 0.952738i | \(0.401747\pi\) | |||||||
\(294\) | −0.896511 | − | 4.50706i | −0.0522856 | − | 0.262857i | ||||
\(295\) | 9.17705 | − | 6.13191i | 0.534308 | − | 0.357013i | ||||
\(296\) | −2.17302 | + | 10.9245i | −0.126304 | + | 0.634974i | ||||
\(297\) | −16.7102 | + | 8.28093i | −0.969626 | + | 0.480508i | ||||
\(298\) | 6.54695 | + | 15.8057i | 0.379255 | + | 0.915601i | ||||
\(299\) | −10.6645 | − | 2.12130i | −0.616743 | − | 0.122678i | ||||
\(300\) | −3.09351 | − | 4.62977i | −0.178604 | − | 0.267300i | ||||
\(301\) | 2.01923 | + | 10.1514i | 0.116387 | + | 0.585114i | ||||
\(302\) | −9.99464 | + | 9.99464i | −0.575127 | + | 0.575127i | ||||
\(303\) | 6.90840 | + | 4.61605i | 0.396877 | + | 0.265185i | ||||
\(304\) | −0.00712464 | + | 0.0172004i | −0.000408626 | + | 0.000986510i | ||||
\(305\) | 13.9316 | 0.797721 | ||||||||
\(306\) | −1.71095 | − | 4.24098i | −0.0978083 | − | 0.242441i | ||||
\(307\) | 10.9661i | 0.625871i | 0.949774 | + | 0.312935i | \(0.101312\pi\) | ||||
−0.949774 | + | 0.312935i | \(0.898688\pi\) | |||||||
\(308\) | 12.5452 | + | 4.23137i | 0.714826 | + | 0.241105i | ||||
\(309\) | 2.58429 | + | 1.72677i | 0.147015 | + | 0.0982325i | ||||
\(310\) | 6.39749 | − | 6.39749i | 0.363353 | − | 0.363353i | ||||
\(311\) | 2.68260 | − | 0.533603i | 0.152117 | − | 0.0302579i | −0.118445 | − | 0.992961i | \(-0.537791\pi\) |
0.270561 | + | 0.962703i | \(0.412791\pi\) | |||||||
\(312\) | 7.24503 | − | 4.84097i | 0.410169 | − | 0.274066i | ||||
\(313\) | −1.96778 | − | 0.391416i | −0.111225 | − | 0.0221241i | 0.139164 | − | 0.990269i | \(-0.455559\pi\) |
−0.250389 | + | 0.968145i | \(0.580559\pi\) | |||||||
\(314\) | 3.85812 | + | 9.31432i | 0.217726 | + | 0.525637i | ||||
\(315\) | −4.69218 | + | 1.94357i | −0.264375 | + | 0.109508i | ||||
\(316\) | −16.5769 | − | 3.29735i | −0.932523 | − | 0.185490i | ||||
\(317\) | 15.2798 | + | 22.8679i | 0.858201 | + | 1.28439i | 0.957237 | + | 0.289305i | \(0.0934241\pi\) |
−0.0990360 | + | 0.995084i | \(0.531576\pi\) | |||||||
\(318\) | 4.62898 | − | 0.920762i | 0.259580 | − | 0.0516338i | ||||
\(319\) | −26.6705 | − | 23.2980i | −1.49326 | − | 1.30444i | ||||
\(320\) | 3.57867 | − | 5.35586i | 0.200054 | − | 0.299402i | ||||
\(321\) | −2.90312 | + | 7.00876i | −0.162037 | + | 0.391191i | ||||
\(322\) | 13.8477i | 0.771702i | ||||||||
\(323\) | 0.637162 | + | 0.00588598i | 0.0354526 | + | 0.000327505i | ||||
\(324\) | −4.47758 | −0.248754 | ||||||||
\(325\) | −7.41103 | − | 3.06975i | −0.411090 | − | 0.170279i | ||||
\(326\) | 7.07414 | − | 10.5872i | 0.391800 | − | 0.586371i | ||||
\(327\) | −6.96823 | + | 6.96823i | −0.385344 | + | 0.385344i | ||||
\(328\) | −16.4892 | + | 3.27990i | −0.910462 | + | 0.181102i | ||||
\(329\) | 4.18534 | + | 6.26381i | 0.230745 | + | 0.345335i | ||||
\(330\) | 0.619488 | − | 4.77710i | 0.0341017 | − | 0.262971i | ||||
\(331\) | 14.2988 | − | 5.92275i | 0.785932 | − | 0.325544i | 0.0466255 | − | 0.998912i | \(-0.485153\pi\) |
0.739307 | + | 0.673369i | \(0.235153\pi\) | |||||||
\(332\) | 13.1244 | − | 5.43632i | 0.720297 | − | 0.298357i | ||||
\(333\) | 0.949487 | − | 4.77340i | 0.0520316 | − | 0.261580i | ||||
\(334\) | −3.18004 | − | 4.75927i | −0.174004 | − | 0.260415i | ||||
\(335\) | 2.08783 | + | 10.4962i | 0.114070 | + | 0.573471i | ||||
\(336\) | −0.372400 | − | 0.372400i | −0.0203161 | − | 0.0203161i | ||||
\(337\) | 1.92476 | + | 1.28608i | 0.104848 | + | 0.0700574i | 0.606889 | − | 0.794787i | \(-0.292417\pi\) |
−0.502041 | + | 0.864844i | \(0.667417\pi\) | |||||||
\(338\) | −2.61486 | + | 6.31282i | −0.142230 | + | 0.343372i | ||||
\(339\) | 3.43999i | 0.186835i | ||||||||
\(340\) | −6.01872 | − | 1.25510i | −0.326411 | − | 0.0680676i | ||||
\(341\) | 27.2915 | − | 1.84198i | 1.47792 | − | 0.0997490i | ||||
\(342\) | 0.0655948 | − | 0.158360i | 0.00354696 | − | 0.00856312i | ||||
\(343\) | −5.68221 | + | 8.50403i | −0.306811 | + | 0.459175i | ||||
\(344\) | 6.32609 | + | 6.32609i | 0.341080 | + | 0.341080i | ||||
\(345\) | −7.55238 | + | 1.50226i | −0.406606 | + | 0.0808790i | ||||
\(346\) | −16.2801 | + | 10.8780i | −0.875224 | + | 0.584806i | ||||
\(347\) | 2.24128 | − | 11.2677i | 0.120318 | − | 0.604879i | −0.872831 | − | 0.488023i | \(-0.837718\pi\) |
0.993149 | − | 0.116856i | \(-0.0372817\pi\) | |||||||
\(348\) | −6.54047 | − | 15.7901i | −0.350606 | − | 0.846438i | ||||
\(349\) | −4.86403 | + | 2.01475i | −0.260366 | + | 0.107847i | −0.509048 | − | 0.860738i | \(-0.670002\pi\) |
0.248682 | + | 0.968585i | \(0.420002\pi\) | |||||||
\(350\) | −1.99302 | + | 10.0196i | −0.106531 | + | 0.535569i | ||||
\(351\) | −10.7812 | + | 7.20375i | −0.575457 | + | 0.384508i | ||||
\(352\) | 17.9340 | − | 4.84272i | 0.955884 | − | 0.258118i | ||||
\(353\) | 9.67239 | − | 9.67239i | 0.514809 | − | 0.514809i | −0.401187 | − | 0.915996i | \(-0.631402\pi\) |
0.915996 | + | 0.401187i | \(0.131402\pi\) | |||||||
\(354\) | −8.76142 | − | 5.85420i | −0.465664 | − | 0.311147i | ||||
\(355\) | −11.6760 | − | 4.83635i | −0.619696 | − | 0.256687i | ||||
\(356\) | 3.31206i | 0.175539i | ||||||||
\(357\) | −7.05132 | + | 16.5883i | −0.373195 | + | 0.877946i | ||||
\(358\) | − | 9.40149i | − | 0.496884i | ||||||
\(359\) | 15.2768 | + | 6.32786i | 0.806279 | + | 0.333972i | 0.747468 | − | 0.664298i | \(-0.231269\pi\) |
0.0588105 | + | 0.998269i | \(0.481269\pi\) | |||||||
\(360\) | −2.43893 | + | 3.65011i | −0.128543 | + | 0.192378i | ||||
\(361\) | −13.4181 | − | 13.4181i | −0.706218 | − | 0.706218i | ||||
\(362\) | 0.598406 | + | 3.00839i | 0.0314515 | + | 0.158118i | ||||
\(363\) | 10.9123 | − | 9.64504i | 0.572748 | − | 0.506233i | ||||
\(364\) | 9.02814 | + | 1.79581i | 0.473203 | + | 0.0941259i | ||||
\(365\) | −5.94288 | − | 14.3474i | −0.311065 | − | 0.750976i | ||||
\(366\) | −5.08993 | − | 12.2882i | −0.266055 | − | 0.642314i | ||||
\(367\) | 3.36107 | − | 16.8972i | 0.175446 | − | 0.882029i | −0.788317 | − | 0.615270i | \(-0.789047\pi\) |
0.963763 | − | 0.266759i | \(-0.0859529\pi\) | |||||||
\(368\) | 0.315599 | + | 0.472328i | 0.0164518 | + | 0.0246218i | ||||
\(369\) | 7.20484 | − | 1.43313i | 0.375069 | − | 0.0746058i | ||||
\(370\) | 3.02731 | + | 3.02731i | 0.157382 | + | 0.157382i | ||||
\(371\) | 11.0037 | + | 7.35245i | 0.571285 | + | 0.381720i | ||||
\(372\) | 12.1964 | + | 5.05190i | 0.632352 | + | 0.261929i | ||||
\(373\) | −22.6574 | −1.17316 | −0.586578 | − | 0.809892i | \(-0.699525\pi\) | ||||
−0.586578 | + | 0.809892i | \(0.699525\pi\) | |||||||
\(374\) | 7.33338 | + | 9.70283i | 0.379200 | + | 0.501721i | ||||
\(375\) | −13.8459 | −0.714999 | ||||||||
\(376\) | 6.01600 | + | 2.49191i | 0.310251 | + | 0.128510i | ||||
\(377\) | −20.4723 | − | 13.6792i | −1.05438 | − | 0.704512i | ||||
\(378\) | 11.6766 | + | 11.6766i | 0.600580 | + | 0.600580i | ||||
\(379\) | 23.9695 | − | 4.76782i | 1.23123 | − | 0.244907i | 0.463741 | − | 0.885971i | \(-0.346507\pi\) |
0.767487 | + | 0.641064i | \(0.221507\pi\) | |||||||
\(380\) | −0.128028 | − | 0.191608i | −0.00656771 | − | 0.00982927i | ||||
\(381\) | 2.25684 | − | 11.3459i | 0.115621 | − | 0.581268i | ||||
\(382\) | −5.82505 | − | 14.0629i | −0.298035 | − | 0.719521i | ||||
\(383\) | 2.39429 | + | 5.78034i | 0.122343 | + | 0.295361i | 0.973171 | − | 0.230082i | \(-0.0738995\pi\) |
−0.850829 | + | 0.525443i | \(0.823899\pi\) | |||||||
\(384\) | 8.51467 | + | 1.69367i | 0.434513 | + | 0.0864299i | ||||
\(385\) | 10.7001 | − | 8.24349i | 0.545326 | − | 0.420127i | ||||
\(386\) | 0.0339155 | + | 0.170505i | 0.00172626 | + | 0.00867847i | ||||
\(387\) | −2.76415 | − | 2.76415i | −0.140510 | − | 0.140510i | ||||
\(388\) | 8.15322 | − | 12.2022i | 0.413917 | − | 0.619470i | ||||
\(389\) | 10.3435 | + | 4.28441i | 0.524435 | + | 0.217228i | 0.629164 | − | 0.777273i | \(-0.283397\pi\) |
−0.104729 | + | 0.994501i | \(0.533397\pi\) | |||||||
\(390\) | − | 3.34917i | − | 0.169592i | ||||||
\(391\) | 10.9503 | − | 16.0650i | 0.553780 | − | 0.812442i | ||||
\(392\) | − | 11.1379i | − | 0.562547i | ||||||
\(393\) | −1.87474 | − | 0.776544i | −0.0945683 | − | 0.0391715i | ||||
\(394\) | −2.30774 | − | 1.54199i | −0.116262 | − | 0.0776841i | ||||
\(395\) | −12.1930 | + | 12.1930i | −0.613494 | + | 0.613494i | ||||
\(396\) | −4.82743 | + | 1.30355i | −0.242587 | + | 0.0655060i | ||||
\(397\) | −26.2443 | + | 17.5358i | −1.31716 | + | 0.880099i | −0.997719 | − | 0.0675067i | \(-0.978496\pi\) |
−0.319442 | + | 0.947606i | \(0.603496\pi\) | |||||||
\(398\) | 2.29673 | − | 11.5464i | 0.115125 | − | 0.578770i | ||||
\(399\) | −0.624172 | + | 0.258541i | −0.0312477 | + | 0.0129432i | ||||
\(400\) | 0.160374 | + | 0.387178i | 0.00801871 | + | 0.0193589i | ||||
\(401\) | −4.04536 | + | 20.3374i | −0.202016 | + | 1.01560i | 0.738086 | + | 0.674707i | \(0.235730\pi\) |
−0.940102 | + | 0.340894i | \(0.889270\pi\) | |||||||
\(402\) | 8.49528 | − | 5.67637i | 0.423706 | − | 0.283111i | ||||
\(403\) | 18.6526 | − | 3.71024i | 0.929153 | − | 0.184820i | ||||
\(404\) | 5.36472 | + | 5.36472i | 0.266905 | + | 0.266905i | ||||
\(405\) | −2.53792 | + | 3.79826i | −0.126110 | + | 0.188737i | ||||
\(406\) | −11.9997 | + | 28.9700i | −0.595537 | + | 1.43775i | ||||
\(407\) | 0.871631 | + | 12.9144i | 0.0432051 | + | 0.640143i | ||||
\(408\) | 2.89824 | + | 15.3082i | 0.143484 | + | 0.757867i | ||||
\(409\) | 11.9701i | 0.591882i | 0.955206 | + | 0.295941i | \(0.0956331\pi\) | ||||
−0.955206 | + | 0.295941i | \(0.904367\pi\) | |||||||
\(410\) | −2.47291 | + | 5.97013i | −0.122128 | + | 0.294844i | ||||
\(411\) | −10.9844 | − | 7.33955i | −0.541821 | − | 0.362033i | ||||
\(412\) | 2.00683 | + | 2.00683i | 0.0988696 | + | 0.0988696i | ||||
\(413\) | −5.76429 | − | 28.9790i | −0.283642 | − | 1.42596i | ||||
\(414\) | −2.90565 | − | 4.34861i | −0.142805 | − | 0.213722i | ||||
\(415\) | 2.82746 | − | 14.2146i | 0.138794 | − | 0.697767i | ||||
\(416\) | 11.9324 | − | 4.94255i | 0.585032 | − | 0.242328i | ||||
\(417\) | −4.50882 | + | 1.86761i | −0.220798 | + | 0.0914574i | ||||
\(418\) | −0.0586252 | + | 0.452081i | −0.00286745 | + | 0.0221120i | ||||
\(419\) | 2.08874 | + | 3.12603i | 0.102042 | + | 0.152716i | 0.878977 | − | 0.476864i | \(-0.158227\pi\) |
−0.776935 | + | 0.629581i | \(0.783227\pi\) | |||||||
\(420\) | 6.39355 | − | 1.27176i | 0.311974 | − | 0.0620554i | ||||
\(421\) | 14.2049 | − | 14.2049i | 0.692304 | − | 0.692304i | −0.270435 | − | 0.962738i | \(-0.587167\pi\) |
0.962738 | + | 0.270435i | \(0.0871674\pi\) | |||||||
\(422\) | 1.36928 | − | 2.04928i | 0.0666557 | − | 0.0997573i | ||||
\(423\) | −2.62865 | − | 1.08882i | −0.127810 | − | 0.0529404i | ||||
\(424\) | 11.4391 | 0.555534 | ||||||||
\(425\) | 10.2353 | − | 10.0479i | 0.496484 | − | 0.487396i | ||||
\(426\) | 12.0656i | 0.584581i | ||||||||
\(427\) | 14.2723 | − | 34.4564i | 0.690685 | − | 1.66746i | ||||
\(428\) | −3.84854 | + | 5.75974i | −0.186026 | + | 0.278408i | ||||
\(429\) | 6.66158 | − | 7.62589i | 0.321624 | − | 0.368181i | ||||
\(430\) | 3.37263 | − | 0.670857i | 0.162643 | − | 0.0323516i | ||||
\(431\) | −7.74330 | − | 11.5887i | −0.372981 | − | 0.558206i | 0.596735 | − | 0.802438i | \(-0.296464\pi\) |
−0.969717 | + | 0.244232i | \(0.921464\pi\) | |||||||
\(432\) | 0.664393 | + | 0.132156i | 0.0319656 | + | 0.00635836i | ||||
\(433\) | 7.24287 | − | 3.00009i | 0.348070 | − | 0.144175i | −0.201797 | − | 0.979427i | \(-0.564678\pi\) |
0.549867 | + | 0.835252i | \(0.314678\pi\) | |||||||
\(434\) | −9.26868 | − | 22.3766i | −0.444911 | − | 1.07411i | ||||
\(435\) | −17.1017 | − | 3.40173i | −0.819962 | − | 0.163101i | ||||
\(436\) | −7.48195 | + | 4.99928i | −0.358320 | + | 0.239422i | ||||
\(437\) | 0.714719 | − | 0.142166i | 0.0341896 | − | 0.00680074i | ||||
\(438\) | −10.4837 | + | 10.4837i | −0.500930 | + | 0.500930i | ||||
\(439\) | −18.5256 | − | 12.3784i | −0.884180 | − | 0.590790i | 0.0284420 | − | 0.999595i | \(-0.490945\pi\) |
−0.912622 | + | 0.408806i | \(0.865945\pi\) | |||||||
\(440\) | 3.73144 | − | 11.0630i | 0.177889 | − | 0.527406i | ||||
\(441\) | 4.86662i | 0.231744i | ||||||||
\(442\) | 5.92387 | + | 6.03434i | 0.281770 | + | 0.287024i | ||||
\(443\) | −8.14266 | −0.386870 | −0.193435 | − | 0.981113i | \(-0.561963\pi\) | ||||
−0.193435 | + | 0.981113i | \(0.561963\pi\) | |||||||
\(444\) | −2.39057 | + | 5.77135i | −0.113452 | + | 0.273896i | ||||
\(445\) | 2.80956 | + | 1.87729i | 0.133186 | + | 0.0889921i | ||||
\(446\) | 13.1941 | − | 13.1941i | 0.624758 | − | 0.624758i | ||||
\(447\) | 4.96845 | + | 24.9781i | 0.234999 | + | 1.18142i | ||||
\(448\) | −9.58022 | − | 14.3378i | −0.452623 | − | 0.677398i | ||||
\(449\) | −36.0248 | − | 7.16578i | −1.70012 | − | 0.338174i | −0.752745 | − | 0.658312i | \(-0.771271\pi\) |
−0.947371 | + | 0.320138i | \(0.896271\pi\) | |||||||
\(450\) | −1.47653 | − | 3.56465i | −0.0696041 | − | 0.168039i | ||||
\(451\) | −17.5054 | + | 8.67499i | −0.824298 | + | 0.408489i | ||||
\(452\) | −0.612808 | + | 3.08079i | −0.0288241 | + | 0.144908i | ||||
\(453\) | −17.4950 | + | 11.6898i | −0.821987 | + | 0.549234i | ||||
\(454\) | −1.21343 | − | 6.10031i | −0.0569490 | − | 0.286302i | ||||
\(455\) | 6.64055 | − | 6.64055i | 0.311314 | − | 0.311314i | ||||
\(456\) | −0.324436 | + | 0.485552i | −0.0151931 | + | 0.0227381i | ||||
\(457\) | −1.75502 | + | 4.23699i | −0.0820963 | + | 0.198198i | −0.959597 | − | 0.281377i | \(-0.909209\pi\) |
0.877501 | + | 0.479575i | \(0.159209\pi\) | |||||||
\(458\) | −0.484462 | −0.0226374 | ||||||||
\(459\) | −4.31281 | − | 22.7798i | −0.201305 | − | 1.06327i | ||||
\(460\) | −7.03138 | −0.327840 | ||||||||
\(461\) | 3.07200 | + | 1.27246i | 0.143077 | + | 0.0592646i | 0.453073 | − | 0.891473i | \(-0.350328\pi\) |
−0.309996 | + | 0.950738i | \(0.600328\pi\) | |||||||
\(462\) | −11.1804 | − | 6.42608i | −0.520157 | − | 0.298968i | ||||
\(463\) | 13.2111 | + | 13.2111i | 0.613973 | + | 0.613973i | 0.943979 | − | 0.330006i | \(-0.107051\pi\) |
−0.330006 | + | 0.943979i | \(0.607051\pi\) | |||||||
\(464\) | 0.250950 | + | 1.26161i | 0.0116501 | + | 0.0585689i | ||||
\(465\) | 11.1984 | − | 7.48254i | 0.519314 | − | 0.346995i | ||||
\(466\) | 1.92530 | + | 0.382967i | 0.0891879 | + | 0.0177406i | ||||
\(467\) | −9.80387 | + | 4.06090i | −0.453669 | + | 0.187916i | −0.597804 | − | 0.801642i | \(-0.703960\pi\) |
0.144135 | + | 0.989558i | \(0.453960\pi\) | |||||||
\(468\) | −3.21193 | + | 1.33042i | −0.148471 | + | 0.0614989i | ||||
\(469\) | 28.0988 | + | 5.58919i | 1.29748 | + | 0.258085i | ||||
\(470\) | 2.08105 | − | 1.39051i | 0.0959917 | − | 0.0641396i | ||||
\(471\) | 2.92790 | + | 14.7196i | 0.134911 | + | 0.678242i | ||||
\(472\) | −18.0591 | − | 18.0591i | −0.831236 | − | 0.831236i | ||||
\(473\) | 9.01364 | + | 5.18073i | 0.414448 | + | 0.238210i | ||||
\(474\) | 15.2094 | + | 6.29993i | 0.698589 | + | 0.289365i | ||||
\(475\) | 0.537600 | 0.0246668 | ||||||||
\(476\) | −9.27010 | + | 13.6000i | −0.424894 | + | 0.623356i | ||||
\(477\) | −4.99827 | −0.228855 | ||||||||
\(478\) | 2.51995 | − | 6.08370i | 0.115260 | − | 0.278262i | ||||
\(479\) | 1.18281 | − | 1.77020i | 0.0540438 | − | 0.0808823i | −0.803464 | − | 0.595354i | \(-0.797012\pi\) |
0.857507 | + | 0.514472i | \(0.172012\pi\) | |||||||
\(480\) | 6.46756 | − | 6.46756i | 0.295202 | − | 0.295202i | ||||
\(481\) | 1.75569 | + | 8.82646i | 0.0800527 | + | 0.402452i | ||||
\(482\) | 21.0027 | − | 14.0336i | 0.956648 | − | 0.639212i | ||||
\(483\) | −4.02160 | + | 20.2180i | −0.182989 | + | 0.919949i | ||||
\(484\) | 11.4910 | − | 6.69397i | 0.522320 | − | 0.304271i | ||||
\(485\) | −5.72960 | − | 13.8325i | −0.260168 | − | 0.628101i | ||||
\(486\) | −10.4377 | − | 2.07619i | −0.473464 | − | 0.0941779i | ||||
\(487\) | −12.9454 | − | 19.3742i | −0.586613 | − | 0.877928i | 0.412847 | − | 0.910800i | \(-0.364534\pi\) |
−0.999460 | + | 0.0328726i | \(0.989534\pi\) | |||||||
\(488\) | −6.28913 | − | 31.6176i | −0.284695 | − | 1.43126i | ||||
\(489\) | 13.4031 | − | 13.4031i | 0.606109 | − | 0.606109i | ||||
\(490\) | −3.55952 | − | 2.37840i | −0.160803 | − | 0.107445i | ||||
\(491\) | 10.2791 | − | 24.8159i | 0.463888 | − | 1.11992i | −0.502900 | − | 0.864344i | \(-0.667734\pi\) |
0.966788 | − | 0.255579i | \(-0.0822663\pi\) | |||||||
\(492\) | −9.42886 | −0.425086 | ||||||||
\(493\) | 36.8296 | − | 24.1197i | 1.65872 | − | 1.08629i | ||||
\(494\) | 0.316949i | 0.0142602i | ||||||||
\(495\) | −1.63043 | + | 4.83389i | −0.0732823 | + | 0.217267i | ||||
\(496\) | −0.826121 | − | 0.551997i | −0.0370939 | − | 0.0247854i | ||||
\(497\) | −23.9230 | + | 23.9230i | −1.07309 | + | 1.07309i | ||||
\(498\) | −13.5708 | + | 2.69941i | −0.608123 | + | 0.120963i | ||||
\(499\) | −23.0909 | + | 15.4289i | −1.03369 | + | 0.690691i | −0.952041 | − | 0.305970i | \(-0.901019\pi\) |
−0.0816511 | + | 0.996661i | \(0.526019\pi\) | |||||||
\(500\) | −12.4001 | − | 2.46654i | −0.554550 | − | 0.110307i | ||||
\(501\) | −3.26076 | − | 7.87217i | −0.145680 | − | 0.351703i | ||||
\(502\) | 12.0938 | − | 5.00943i | 0.539774 | − | 0.223582i | ||||
\(503\) | −1.48979 | − | 0.296337i | −0.0664264 | − | 0.0132130i | 0.161765 | − | 0.986829i | \(-0.448281\pi\) |
−0.228192 | + | 0.973616i | \(0.573281\pi\) | |||||||
\(504\) | 6.52909 | + | 9.77147i | 0.290829 | + | 0.435256i | ||||
\(505\) | 7.59156 | − | 1.51006i | 0.337820 | − | 0.0671966i | ||||
\(506\) | 10.4755 | + | 9.15086i | 0.465693 | + | 0.406805i | ||||
\(507\) | −5.65110 | + | 8.45747i | −0.250974 | + | 0.375609i | ||||
\(508\) | 4.04236 | − | 9.75913i | 0.179351 | − | 0.432991i | ||||
\(509\) | 38.3986i | 1.70199i | 0.525174 | + | 0.850995i | \(0.324000\pi\) | ||||
−0.525174 | + | 0.850995i | \(0.676000\pi\) | |||||||
\(510\) | 5.51120 | + | 2.34269i | 0.244040 | + | 0.103736i | ||||
\(511\) | −41.5729 | −1.83908 | ||||||||
\(512\) | −1.25870 | − | 0.521371i | −0.0556272 | − | 0.0230415i | ||||
\(513\) | 0.482786 | − | 0.722540i | 0.0213155 | − | 0.0319009i | ||||
\(514\) | −7.80585 | + | 7.80585i | −0.344301 | + | 0.344301i | ||||
\(515\) | 2.83985 | − | 0.564881i | 0.125139 | − | 0.0248916i | ||||
\(516\) | 2.78756 | + | 4.17188i | 0.122715 | + | 0.183657i | ||||
\(517\) | 7.50420 | + | 0.973134i | 0.330035 | + | 0.0427984i | ||||
\(518\) | 10.5886 | − | 4.38596i | 0.465238 | − | 0.192708i | ||||
\(519\) | −26.9285 | + | 11.1541i | −1.18203 | + | 0.489612i | ||||
\(520\) | 1.58364 | − | 7.96147i | 0.0694470 | − | 0.349134i | ||||
\(521\) | 20.9561 | + | 31.3631i | 0.918105 | + | 1.37404i | 0.927394 | + | 0.374085i | \(0.122043\pi\) |
−0.00928892 | + | 0.999957i | \(0.502957\pi\) | |||||||
\(522\) | −2.31044 | − | 11.6154i | −0.101125 | − | 0.508390i | ||||
\(523\) | 26.6724 | + | 26.6724i | 1.16630 | + | 1.16630i | 0.983070 | + | 0.183232i | \(0.0586561\pi\) |
0.183232 | + | 0.983070i | \(0.441344\pi\) | |||||||
\(524\) | −1.54065 | − | 1.02943i | −0.0673036 | − | 0.0449708i | ||||
\(525\) | −5.81970 | + | 14.0500i | −0.253993 | + | 0.613192i | ||||
\(526\) | 8.38927i | 0.365790i | ||||||||
\(527\) | −6.94184 | + | 33.2889i | −0.302391 | + | 1.45009i | ||||
\(528\) | −0.527803 | + | 0.0356230i | −0.0229697 | + | 0.00155029i | ||||
\(529\) | −0.292787 | + | 0.706851i | −0.0127299 | + | 0.0307326i | ||||
\(530\) | 2.44274 | − | 3.65581i | 0.106106 | − | 0.158798i | ||||
\(531\) | 7.89080 | + | 7.89080i | 0.342432 | + | 0.342432i | ||||
\(532\) | −0.605054 | + | 0.120353i | −0.0262324 | + | 0.00521795i | ||||
\(533\) | −11.2942 | + | 7.54655i | −0.489207 | + | 0.326878i | ||||
\(534\) | 0.629361 | − | 3.16401i | 0.0272351 | − | 0.136920i | ||||
\(535\) | 2.70453 | + | 6.52931i | 0.116927 | + | 0.282287i | ||||
\(536\) | 22.8786 | − | 9.47661i | 0.988203 | − | 0.409327i | ||||
\(537\) | 2.73035 | − | 13.7264i | 0.117823 | − | 0.592337i | ||||
\(538\) | −2.98693 | + | 1.99580i | −0.128776 | + | 0.0860451i | ||||
\(539\) | −3.37416 | − | 12.4955i | −0.145335 | − | 0.538218i | ||||
\(540\) | −5.92898 | + | 5.92898i | −0.255143 | + | 0.255143i | ||||
\(541\) | 20.5525 | + | 13.7327i | 0.883621 | + | 0.590416i | 0.912459 | − | 0.409168i | \(-0.134181\pi\) |
−0.0288387 | + | 0.999584i | \(0.509181\pi\) | |||||||
\(542\) | −15.6490 | − | 6.48203i | −0.672182 | − | 0.278427i | ||||
\(543\) | 4.56610i | 0.195950i | ||||||||
\(544\) | −0.213323 | + | 23.0924i | −0.00914617 | + | 0.990079i | ||||
\(545\) | 9.18044i | 0.393247i | ||||||||
\(546\) | −8.28336 | − | 3.43108i | −0.354495 | − | 0.146837i | ||||
\(547\) | 12.7326 | − | 19.0557i | 0.544407 | − | 0.814762i | −0.452629 | − | 0.891699i | \(-0.649514\pi\) |
0.997036 | + | 0.0769365i | \(0.0245139\pi\) | |||||||
\(548\) | −8.52995 | − | 8.52995i | −0.364381 | − | 0.364381i | ||||
\(549\) | 2.74800 | + | 13.8151i | 0.117282 | + | 0.589614i | ||||
\(550\) | 6.26258 | + | 8.12883i | 0.267037 | + | 0.346615i | ||||
\(551\) | 1.61842 | + | 0.321923i | 0.0689468 | + | 0.0137144i | ||||
\(552\) | 6.81873 | + | 16.4619i | 0.290224 | + | 0.700663i | ||||
\(553\) | 17.6651 | + | 42.6474i | 0.751198 | + | 1.81355i | ||||
\(554\) | 2.72762 | − | 13.7127i | 0.115885 | − | 0.582595i | ||||
\(555\) | 3.54076 | + | 5.29912i | 0.150297 | + | 0.224935i | ||||
\(556\) | −4.37071 | + | 0.869388i | −0.185359 | + | 0.0368703i | ||||
\(557\) | −15.0182 | − | 15.0182i | −0.636342 | − | 0.636342i | 0.313309 | − | 0.949651i | \(-0.398562\pi\) |
−0.949651 | + | 0.313309i | \(0.898562\pi\) | |||||||
\(558\) | 7.60590 | + | 5.08210i | 0.321983 | + | 0.215142i | ||||
\(559\) | 6.67807 | + | 2.76615i | 0.282452 | + | 0.116996i | ||||
\(560\) | −0.490626 | −0.0207327 | ||||||||
\(561\) | 7.88904 | + | 16.2961i | 0.333076 | + | 0.688021i | ||||
\(562\) | −17.1491 | −0.723391 | ||||||||
\(563\) | −4.02715 | − | 1.66810i | −0.169724 | − | 0.0703021i | 0.296204 | − | 0.955125i | \(-0.404279\pi\) |
−0.465928 | + | 0.884823i | \(0.654279\pi\) | |||||||
\(564\) | 3.03650 | + | 2.02892i | 0.127860 | + | 0.0854331i | ||||
\(565\) | 2.26605 | + | 2.26605i | 0.0953332 | + | 0.0953332i | ||||
\(566\) | 25.3393 | − | 5.04030i | 1.06509 | − | 0.211860i | ||||
\(567\) | 6.79408 | + | 10.1681i | 0.285324 | + | 0.427018i | ||||
\(568\) | −5.70515 | + | 28.6817i | −0.239383 | + | 1.20346i | ||||
\(569\) | 18.1872 | + | 43.9077i | 0.762445 | + | 1.84071i | 0.461873 | + | 0.886946i | \(0.347177\pi\) |
0.300572 | + | 0.953759i | \(0.402823\pi\) | |||||||
\(570\) | 0.0858960 | + | 0.207371i | 0.00359779 | + | 0.00868583i | ||||
\(571\) | 9.23567 | + | 1.83709i | 0.386501 | + | 0.0768798i | 0.384516 | − | 0.923118i | \(-0.374368\pi\) |
0.00198449 | + | 0.999998i | \(0.499368\pi\) | |||||||
\(572\) | 7.32448 | − | 5.64289i | 0.306252 | − | 0.235941i | ||||
\(573\) | −4.42060 | − | 22.2238i | −0.184673 | − | 0.928414i | ||||
\(574\) | 12.2323 | + | 12.2323i | 0.510565 | + | 0.510565i | ||||
\(575\) | 9.11323 | − | 13.6389i | 0.380048 | − | 0.568782i | ||||
\(576\) | 6.01697 | + | 2.49231i | 0.250707 | + | 0.103846i | ||||
\(577\) | 17.5337i | 0.729938i | 0.931020 | + | 0.364969i | \(0.118920\pi\) | ||||
−0.931020 | + | 0.364969i | \(0.881080\pi\) | |||||||
\(578\) | −14.0734 | + | 5.52705i | −0.585376 | + | 0.229895i | ||||
\(579\) | 0.258791i | 0.0107550i | ||||||||
\(580\) | −14.7099 | − | 6.09306i | −0.610797 | − | 0.253000i | ||||
\(581\) | −32.2597 | − | 21.5552i | −1.33836 | − | 0.894262i | ||||
\(582\) | −10.1075 | + | 10.1075i | −0.418967 | + | 0.418967i | ||||
\(583\) | 12.8335 | − | 3.46543i | 0.531508 | − | 0.143523i | ||||
\(584\) | −29.8784 | + | 19.9641i | −1.23638 | + | 0.826121i | ||||
\(585\) | −0.691960 | + | 3.47872i | −0.0286090 | + | 0.143827i | ||||
\(586\) | 12.9083 | − | 5.34681i | 0.533239 | − | 0.220875i | ||||
\(587\) | 2.37577 | + | 5.73561i | 0.0980585 | + | 0.236734i | 0.965295 | − | 0.261163i | \(-0.0841059\pi\) |
−0.867236 | + | 0.497897i | \(0.834106\pi\) | |||||||
\(588\) | 1.21863 | − | 6.12647i | 0.0502555 | − | 0.252651i | ||||
\(589\) | −1.05976 | + | 0.708110i | −0.0436667 | + | 0.0291772i | ||||
\(590\) | −9.62782 | + | 1.91509i | −0.396371 | + | 0.0788431i | ||||
\(591\) | −2.92154 | − | 2.92154i | −0.120176 | − | 0.120176i | ||||
\(592\) | 0.261206 | − | 0.390923i | 0.0107355 | − | 0.0160668i | ||||
\(593\) | 13.4916 | − | 32.5715i | 0.554032 | − | 1.33755i | −0.360394 | − | 0.932800i | \(-0.617358\pi\) |
0.914426 | − | 0.404752i | \(-0.132642\pi\) | |||||||
\(594\) | 16.5493 | − | 1.11696i | 0.679025 | − | 0.0458294i | ||||
\(595\) | 6.28234 | + | 15.5722i | 0.257551 | + | 0.638400i | ||||
\(596\) | 23.2550i | 0.952560i | ||||||||
\(597\) | 6.70655 | − | 16.1910i | 0.274481 | − | 0.662655i | ||||
\(598\) | 8.04099 | + | 5.37282i | 0.328821 | + | 0.219711i | ||||
\(599\) | 20.5367 | + | 20.5367i | 0.839108 | + | 0.839108i | 0.988742 | − | 0.149633i | \(-0.0478093\pi\) |
−0.149633 | + | 0.988742i | \(0.547809\pi\) | |||||||
\(600\) | 2.56447 | + | 12.8924i | 0.104694 | + | 0.526332i | ||||
\(601\) | −5.96895 | − | 8.93316i | −0.243478 | − | 0.364391i | 0.689523 | − | 0.724264i | \(-0.257820\pi\) |
−0.933001 | + | 0.359873i | \(0.882820\pi\) | |||||||
\(602\) | 1.79591 | − | 9.02863i | 0.0731956 | − | 0.367979i | ||||
\(603\) | −9.99665 | + | 4.14075i | −0.407095 | + | 0.168624i | ||||
\(604\) | −17.7506 | + | 7.35255i | −0.722263 | + | 0.299171i | ||||
\(605\) | 0.834802 | − | 13.5418i | 0.0339395 | − | 0.550554i | ||||
\(606\) | −4.10552 | − | 6.14434i | −0.166775 | − | 0.249597i | ||||
\(607\) | −22.7234 | + | 4.51997i | −0.922315 | + | 0.183460i | −0.633337 | − | 0.773876i | \(-0.718315\pi\) |
−0.288978 | + | 0.957336i | \(0.593315\pi\) | |||||||
\(608\) | −0.612057 | + | 0.612057i | −0.0248222 | + | 0.0248222i | ||||
\(609\) | −25.9332 | + | 38.8119i | −1.05087 | + | 1.57274i | ||||
\(610\) | −11.4476 | − | 4.74174i | −0.463499 | − | 0.191988i | ||||
\(611\) | 5.26111 | 0.212842 | ||||||||
\(612\) | 0.0574219 | − | 6.21596i | 0.00232114 | − | 0.251265i | ||||
\(613\) | − | 25.7690i | − | 1.04080i | −0.853923 | − | 0.520400i | \(-0.825783\pi\) | ||
0.853923 | − | 0.520400i | \(-0.174217\pi\) | |||||||
\(614\) | 3.73243 | − | 9.01088i | 0.150628 | − | 0.363649i | ||||
\(615\) | −5.34433 | + | 7.99835i | −0.215504 | + | 0.322525i | ||||
\(616\) | −23.5388 | − | 20.5623i | −0.948406 | − | 0.828479i | ||||
\(617\) | 9.85233 | − | 1.95975i | 0.396640 | − | 0.0788966i | 0.00725951 | − | 0.999974i | \(-0.497689\pi\) |
0.389380 | + | 0.921077i | \(0.372689\pi\) | |||||||
\(618\) | −1.53579 | − | 2.29847i | −0.0617786 | − | 0.0924581i | ||||
\(619\) | 31.3305 | + | 6.23202i | 1.25928 | + | 0.250486i | 0.779220 | − | 0.626750i | \(-0.215615\pi\) |
0.480059 | + | 0.877236i | \(0.340615\pi\) | |||||||
\(620\) | 11.3620 | − | 4.70631i | 0.456311 | − | 0.189010i | ||||
\(621\) | −10.1468 | − | 24.4965i | −0.407177 | − | 0.983013i | ||||
\(622\) | −2.38591 | − | 0.474587i | −0.0956663 | − | 0.0190292i | ||||
\(623\) | 7.52129 | − | 5.02557i | 0.301334 | − | 0.201345i | ||||
\(624\) | −0.360732 | + | 0.0717540i | −0.0144408 | + | 0.00287246i | ||||
\(625\) | 3.17825 | − | 3.17825i | 0.127130 | − | 0.127130i | ||||
\(626\) | 1.48370 | + | 0.991378i | 0.0593006 | + | 0.0396234i | ||||
\(627\) | −0.216886 | + | 0.643023i | −0.00866159 | + | 0.0256798i | ||||
\(628\) | 13.7042i | 0.546855i | ||||||||
\(629\) | −15.7524 | − | 3.28490i | −0.628088 | − | 0.130977i | ||||
\(630\) | 4.51708 | 0.179965 | ||||||||
\(631\) | 1.71853 | − | 4.14891i | 0.0684138 | − | 0.165165i | −0.885974 | − | 0.463734i | \(-0.846509\pi\) |
0.954388 | + | 0.298569i | \(0.0965092\pi\) | |||||||
\(632\) | 33.1760 | + | 22.1675i | 1.31967 | + | 0.881776i | ||||
\(633\) | 2.59433 | − | 2.59433i | 0.103115 | − | 0.103115i | ||||
\(634\) | −4.77214 | − | 23.9912i | −0.189526 | − | 0.952811i | ||||
\(635\) | −5.98728 | − | 8.96060i | −0.237598 | − | 0.355590i | ||||
\(636\) | 6.29219 | + | 1.25159i | 0.249502 | + | 0.0496290i | ||||
\(637\) | −3.44371 | − | 8.31385i | −0.136445 | − | 0.329407i | ||||
\(638\) | 13.9855 | + | 28.2215i | 0.553690 | + | 1.11730i | ||||
\(639\) | 2.49283 | − | 12.5323i | 0.0986149 | − | 0.495770i | ||||
\(640\) | 6.72460 | − | 4.49323i | 0.265813 | − | 0.177611i | ||||
\(641\) | −2.28873 | − | 11.5062i | −0.0903994 | − | 0.454468i | −0.999298 | − | 0.0374522i | \(-0.988076\pi\) |
0.908899 | − | 0.417016i | \(-0.136924\pi\) | |||||||
\(642\) | 4.77099 | − | 4.77099i | 0.188296 | − | 0.188296i | ||||
\(643\) | −16.9758 | + | 25.4060i | −0.669459 | + | 1.00192i | 0.328884 | + | 0.944370i | \(0.393327\pi\) |
−0.998343 | + | 0.0575454i | \(0.981673\pi\) | |||||||
\(644\) | −7.20334 | + | 17.3904i | −0.283851 | + | 0.685277i | ||||
\(645\) | 5.11894 | 0.201558 | ||||||||
\(646\) | −0.521552 | − | 0.221700i | −0.0205202 | − | 0.00872268i | ||||
\(647\) | −24.2027 | −0.951507 | −0.475754 | − | 0.879579i | \(-0.657825\pi\) | ||||
−0.475754 | + | 0.879579i | \(0.657825\pi\) | |||||||
\(648\) | 9.76579 | + | 4.04512i | 0.383636 | + | 0.158907i | ||||
\(649\) | −25.7312 | − | 14.7894i | −1.01004 | − | 0.580535i | ||||
\(650\) | 5.04483 | + | 5.04483i | 0.197874 | + | 0.197874i | ||||
\(651\) | −7.03395 | − | 35.3621i | −0.275682 | − | 1.38595i | ||||
\(652\) | 14.3912 | − | 9.61590i | 0.563604 | − | 0.376588i | ||||
\(653\) | −34.2112 | − | 6.80503i | −1.33879 | − | 0.266301i | −0.526806 | − | 0.849985i | \(-0.676611\pi\) |
−0.811981 | + | 0.583684i | \(0.801611\pi\) | |||||||
\(654\) | 8.09749 | − | 3.35409i | 0.316637 | − | 0.131155i | ||||
\(655\) | −1.74650 | + | 0.723423i | −0.0682413 | + | 0.0282665i | ||||
\(656\) | 0.696010 | + | 0.138445i | 0.0271746 | + | 0.00540537i | ||||
\(657\) | 13.0552 | − | 8.72320i | 0.509332 | − | 0.340324i | ||||
\(658\) | −1.30715 | − | 6.57149i | −0.0509580 | − | 0.256183i | ||||
\(659\) | −0.763993 | − | 0.763993i | −0.0297610 | − | 0.0297610i | 0.692070 | − | 0.721831i | \(-0.256699\pi\) |
−0.721831 | + | 0.692070i | \(0.756699\pi\) | |||||||
\(660\) | 3.26294 | − | 5.67700i | 0.127010 | − | 0.220977i | ||||
\(661\) | −6.43294 | − | 2.66461i | −0.250212 | − | 0.103641i | 0.254052 | − | 0.967190i | \(-0.418236\pi\) |
−0.504265 | + | 0.863549i | \(0.668236\pi\) | |||||||
\(662\) | −13.7652 | −0.534998 | ||||||||
\(663\) | 6.89652 | + | 10.5307i | 0.267838 | + | 0.408977i | ||||
\(664\) | −33.5362 | −1.30146 | ||||||||
\(665\) | −0.240854 | + | 0.581474i | −0.00933993 | + | 0.0225486i | ||||
\(666\) | −2.40486 | + | 3.59913i | −0.0931865 | + | 0.139463i | ||||
\(667\) | 35.6021 | − | 35.6021i | 1.37852 | − | 1.37852i | ||||
\(668\) | −1.51791 | − | 7.63104i | −0.0587296 | − | 0.295254i | ||||
\(669\) | 23.0954 | − | 15.4319i | 0.892921 | − | 0.596631i | ||||
\(670\) | 1.85692 | − | 9.33536i | 0.0717391 | − | 0.360657i | ||||
\(671\) | −16.6341 | − | 33.5662i | −0.642152 | − | 1.29581i | ||||
\(672\) | −9.37019 | − | 22.6216i | −0.361463 | − | 0.872649i | ||||
\(673\) | 16.2166 | + | 3.22569i | 0.625106 | + | 0.124341i | 0.497472 | − | 0.867480i | \(-0.334262\pi\) |
0.127634 | + | 0.991821i | \(0.459262\pi\) | |||||||
\(674\) | −1.14384 | − | 1.71188i | −0.0440592 | − | 0.0659393i | ||||
\(675\) | −3.81613 | − | 19.1850i | −0.146883 | − | 0.738430i | ||||
\(676\) | −6.56765 | + | 6.56765i | −0.252602 | + | 0.252602i | ||||
\(677\) | −8.62991 | − | 5.76632i | −0.331674 | − | 0.221618i | 0.378570 | − | 0.925572i | \(-0.376416\pi\) |
−0.710245 | + | 0.703955i | \(0.751416\pi\) | |||||||
\(678\) | 1.17083 | − | 2.82664i | 0.0449656 | − | 0.108557i | ||||
\(679\) | −40.0810 | −1.53817 | ||||||||
\(680\) | 11.9932 | + | 8.17485i | 0.459918 | + | 0.313491i | ||||
\(681\) | − | 9.25899i | − | 0.354805i | ||||||
\(682\) | −23.0523 | − | 7.77535i | −0.882720 | − | 0.297734i | ||||
\(683\) | −9.23884 | − | 6.17319i | −0.353514 | − | 0.236211i | 0.366114 | − | 0.930570i | \(-0.380688\pi\) |
−0.719629 | + | 0.694359i | \(0.755688\pi\) | |||||||
\(684\) | 0.164752 | − | 0.164752i | 0.00629946 | − | 0.00629946i | ||||
\(685\) | −12.0706 | + | 2.40100i | −0.461195 | + | 0.0917375i | ||||
\(686\) | 7.56350 | − | 5.05377i | 0.288776 | − | 0.192954i | ||||
\(687\) | −0.707326 | − | 0.140696i | −0.0269862 | − | 0.00536788i | ||||
\(688\) | −0.144513 | − | 0.348885i | −0.00550951 | − | 0.0133011i | ||||
\(689\) | 8.53874 | − | 3.53686i | 0.325300 | − | 0.134744i | ||||
\(690\) | 6.71709 | + | 1.33611i | 0.255715 | + | 0.0508649i | ||||
\(691\) | 8.21047 | + | 12.2878i | 0.312341 | + | 0.467451i | 0.954114 | − | 0.299443i | \(-0.0968009\pi\) |
−0.641773 | + | 0.766895i | \(0.721801\pi\) | |||||||
\(692\) | −26.1036 | + | 5.19234i | −0.992312 | + | 0.197383i | ||||
\(693\) | 10.2851 | + | 8.98457i | 0.390700 | + | 0.341296i | ||||
\(694\) | −5.67670 | + | 8.49578i | −0.215485 | + | 0.322496i | ||||
\(695\) | −1.73985 | + | 4.20038i | −0.0659964 | + | 0.159329i | ||||
\(696\) | 40.3477i | 1.52937i | ||||||||
\(697\) | −4.51805 | − | 23.8638i | −0.171133 | − | 0.903905i | ||||
\(698\) | 4.68251 | 0.177236 | ||||||||
\(699\) | 2.69977 | + | 1.11828i | 0.102115 | + | 0.0422972i | ||||
\(700\) | −7.71491 | + | 11.5462i | −0.291596 | + | 0.436405i | ||||
\(701\) | 17.4384 | − | 17.4384i | 0.658640 | − | 0.658640i | −0.296419 | − | 0.955058i | \(-0.595792\pi\) |
0.955058 | + | 0.296419i | \(0.0957923\pi\) | |||||||
\(702\) | 11.3107 | − | 2.24985i | 0.426897 | − | 0.0849150i | ||||
\(703\) | −0.335079 | − | 0.501482i | −0.0126378 | − | 0.0189137i | ||||
\(704\) | −17.1771 | − | 2.22750i | −0.647385 | − | 0.0839520i | ||||
\(705\) | 3.44221 | − | 1.42581i | 0.129641 | − | 0.0536991i | ||||
\(706\) | −11.2399 | + | 4.65571i | −0.423018 | + | 0.175220i | ||||
\(707\) | 4.04247 | − | 20.3228i | 0.152033 | − | 0.764319i | ||||
\(708\) | −7.95763 | − | 11.9094i | −0.299066 | − | 0.447584i | ||||
\(709\) | −1.32471 | − | 6.65974i | −0.0497504 | − | 0.250112i | 0.947905 | − | 0.318554i | \(-0.103197\pi\) |
−0.997655 | + | 0.0684420i | \(0.978197\pi\) | |||||||
\(710\) | 7.94804 | + | 7.94804i | 0.298285 | + | 0.298285i | ||||
\(711\) | −14.4961 | − | 9.68596i | −0.543645 | − | 0.363252i | ||||
\(712\) | 2.99217 | − | 7.22373i | 0.112136 | − | 0.270721i | ||||
\(713\) | 38.8898i | 1.45643i | ||||||||
\(714\) | 11.4400 | − | 11.2306i | 0.428133 | − | 0.420295i | ||||
\(715\) | −0.635220 | − | 9.41166i | −0.0237559 | − | 0.351976i | ||||
\(716\) | 4.89050 | − | 11.8067i | 0.182766 | − | 0.441237i | ||||
\(717\) | 5.44599 | − | 8.15050i | 0.203384 | − | 0.304386i | ||||
\(718\) | −10.3992 | − | 10.3992i | −0.388095 | − | 0.388095i | ||||
\(719\) | 39.4388 | − | 7.84487i | 1.47082 | − | 0.292564i | 0.606329 | − | 0.795214i | \(-0.292641\pi\) |
0.864490 | + | 0.502649i | \(0.167641\pi\) | |||||||
\(720\) | 0.154072 | − | 0.102948i | 0.00574192 | − | 0.00383663i | ||||
\(721\) | 1.51220 | − | 7.60236i | 0.0563174 | − | 0.283127i | ||||
\(722\) | 6.45869 | + | 15.5927i | 0.240368 | + | 0.580299i | ||||
\(723\) | 34.7400 | − | 14.3898i | 1.29200 | − | 0.535162i | ||||
\(724\) | −0.813416 | + | 4.08932i | −0.0302304 | + | 0.151978i | ||||
\(725\) | 30.8841 | − | 20.6361i | 1.14701 | − | 0.766405i | ||||
\(726\) | −12.2494 | + | 4.21122i | −0.454619 | + | 0.156293i | ||||
\(727\) | 22.8927 | − | 22.8927i | 0.849044 | − | 0.849044i | −0.140970 | − | 0.990014i | \(-0.545022\pi\) |
0.990014 | + | 0.140970i | \(0.0450221\pi\) | |||||||
\(728\) | −18.0684 | − | 12.0729i | −0.669659 | − | 0.447452i | ||||
\(729\) | −24.9015 | − | 10.3145i | −0.922277 | − | 0.382020i | ||||
\(730\) | 13.8120i | 0.511203i | ||||||||
\(731\) | −9.22300 | + | 9.05416i | −0.341125 | + | 0.334880i | ||||
\(732\) | − | 18.0796i | − | 0.668241i | ||||||
\(733\) | 14.0746 | + | 5.82989i | 0.519858 | + | 0.215332i | 0.627154 | − | 0.778895i | \(-0.284220\pi\) |
−0.107297 | + | 0.994227i | \(0.534220\pi\) | |||||||
\(734\) | −8.51292 | + | 12.7405i | −0.314218 | + | 0.470260i | ||||
\(735\) | −4.50626 | − | 4.50626i | −0.166216 | − | 0.166216i | ||||
\(736\) | 5.15248 | + | 25.9033i | 0.189923 | + | 0.954808i | ||||
\(737\) | 22.7964 | − | 17.5627i | 0.839715 | − | 0.646929i | ||||
\(738\) | −6.40799 | − | 1.27463i | −0.235881 | − | 0.0469197i | ||||
\(739\) | 12.0566 | + | 29.1073i | 0.443511 | + | 1.07073i | 0.974708 | + | 0.223481i | \(0.0717421\pi\) |
−0.531198 | + | 0.847248i | \(0.678258\pi\) | |||||||
\(740\) | 2.22704 | + | 5.37655i | 0.0818675 | + | 0.197646i | ||||
\(741\) | −0.0920471 | + | 0.462752i | −0.00338144 | + | 0.0169996i | ||||
\(742\) | −6.53928 | − | 9.78672i | −0.240064 | − | 0.359282i | ||||
\(743\) | −12.2976 | + | 2.44614i | −0.451153 | + | 0.0897400i | −0.415437 | − | 0.909622i | \(-0.636371\pi\) |
−0.0357165 | + | 0.999362i | \(0.511371\pi\) | |||||||
\(744\) | −22.0368 | − | 22.0368i | −0.807909 | − | 0.807909i | ||||
\(745\) | 19.7268 | + | 13.1810i | 0.722735 | + | 0.482916i | ||||
\(746\) | 18.6176 | + | 7.71166i | 0.681638 | + | 0.282344i | ||||
\(747\) | 14.6535 | 0.536142 | ||||||||
\(748\) | 4.16225 | + | 15.9998i | 0.152187 | + | 0.585012i | ||||
\(749\) | 18.9193 | 0.691296 | ||||||||
\(750\) | 11.3772 | + | 4.71257i | 0.415435 | + | 0.172079i | ||||
\(751\) | −33.4450 | − | 22.3472i | −1.22043 | − | 0.815463i | −0.232836 | − | 0.972516i | \(-0.574801\pi\) |
−0.987590 | + | 0.157053i | \(0.949801\pi\) | |||||||
\(752\) | −0.194354 | − | 0.194354i | −0.00708737 | − | 0.00708737i | ||||
\(753\) | 19.1121 | − | 3.80163i | 0.696483 | − | 0.138539i | ||||
\(754\) | 12.1663 | + | 18.2081i | 0.443069 | + | 0.663099i | ||||
\(755\) | −3.82410 | + | 19.2250i | −0.139173 | + | 0.699671i | ||||
\(756\) | 8.58990 | + | 20.7378i | 0.312411 | + | 0.754228i | ||||
\(757\) | 13.3453 | + | 32.2184i | 0.485043 | + | 1.17100i | 0.957185 | + | 0.289475i | \(0.0934808\pi\) |
−0.472142 | + | 0.881522i | \(0.656519\pi\) | |||||||
\(758\) | −21.3185 | − | 4.24051i | −0.774321 | − | 0.154022i | ||||
\(759\) | 12.6369 | + | 16.4027i | 0.458690 | + | 0.595381i | ||||
\(760\) | 0.106133 | + | 0.533567i | 0.00384985 | + | 0.0193545i | ||||
\(761\) | −2.27965 | − | 2.27965i | −0.0826372 | − | 0.0826372i | 0.664580 | − | 0.747217i | \(-0.268611\pi\) |
−0.747217 | + | 0.664580i | \(0.768611\pi\) | |||||||
\(762\) | −5.71612 | + | 8.55478i | −0.207073 | + | 0.309907i | ||||
\(763\) | 22.7056 | + | 9.40495i | 0.821996 | + | 0.340482i | ||||
\(764\) | − | 20.6907i | − | 0.748565i | ||||||
\(765\) | −5.24036 | − | 3.57195i | −0.189465 | − | 0.129144i | ||||
\(766\) | − | 5.56462i | − | 0.201058i | ||||||
\(767\) | −19.0639 | − | 7.89651i | −0.688356 | − | 0.285126i | ||||
\(768\) | −17.9183 | − | 11.9727i | −0.646573 | − | 0.432026i | ||||
\(769\) | 36.9587 | − | 36.9587i | 1.33277 | − | 1.33277i | 0.429880 | − | 0.902886i | \(-0.358556\pi\) |
0.902886 | − | 0.429880i | \(-0.141444\pi\) | |||||||
\(770\) | −11.5980 | + | 3.13181i | −0.417962 | + | 0.112863i | ||||
\(771\) | −13.6637 | + | 9.12976i | −0.492084 | + | 0.328800i | ||||
\(772\) | −0.0461015 | + | 0.231768i | −0.00165923 | + | 0.00834151i | ||||
\(773\) | 5.10723 | − | 2.11548i | 0.183694 | − | 0.0760887i | −0.288940 | − | 0.957347i | \(-0.593303\pi\) |
0.472635 | + | 0.881258i | \(0.343303\pi\) | |||||||
\(774\) | 1.33050 | + | 3.21210i | 0.0478237 | + | 0.115457i | ||||
\(775\) | −5.59718 | + | 28.1389i | −0.201057 | + | 1.01078i | ||||
\(776\) | −28.8061 | + | 19.2476i | −1.03408 | + | 0.690950i | ||||
\(777\) | 16.7334 | − | 3.32848i | 0.600308 | − | 0.119409i | ||||
\(778\) | −7.04099 | − | 7.04099i | −0.252432 | − | 0.252432i | ||||
\(779\) | 0.505760 | − | 0.756923i | 0.0181207 | − | 0.0271196i | ||||
\(780\) | 1.74218 | − | 4.20600i | 0.0623801 | − | 0.150599i | ||||
\(781\) | 2.28842 | + | 33.9061i | 0.0818862 | + | 1.21326i | ||||
\(782\) | −14.4657 | + | 9.47358i | −0.517293 | + | 0.338774i | ||||
\(783\) | − | 60.0405i | − | 2.14567i | ||||||
\(784\) | −0.179911 | + | 0.434344i | −0.00642540 | + | 0.0155123i | ||||
\(785\) | 11.6250 | + | 7.76759i | 0.414914 | + | 0.277237i | ||||
\(786\) | 1.27617 | + | 1.27617i | 0.0455195 | + | 0.0455195i | ||||
\(787\) | 1.04404 | + | 5.24873i | 0.0372159 | + | 0.187097i | 0.994922 | − | 0.100652i | \(-0.0320930\pi\) |
−0.957706 | + | 0.287749i | \(0.907093\pi\) | |||||||
\(788\) | −2.09603 | − | 3.13692i | −0.0746678 | − | 0.111748i | ||||
\(789\) | −2.43638 | + | 12.2485i | −0.0867375 | + | 0.436059i | ||||
\(790\) | 14.1689 | − | 5.86896i | 0.504108 | − | 0.208808i | ||||
\(791\) | 7.92597 | − | 3.28304i | 0.281815 | − | 0.116732i | ||||
\(792\) | 11.7065 | + | 1.51808i | 0.415972 | + | 0.0539426i | ||||
\(793\) | −14.4703 | − | 21.6564i | −0.513857 | − | 0.769041i | ||||
\(794\) | 27.5334 | − | 5.47673i | 0.977123 | − | 0.194362i | ||||
\(795\) | 4.62816 | − | 4.62816i | 0.164144 | − | 0.164144i | ||||
\(796\) | 8.89056 | − | 13.3057i | 0.315118 | − | 0.471607i | ||||
\(797\) | −28.7473 | − | 11.9075i | −1.01828 | − | 0.421786i | −0.189813 | − | 0.981820i | \(-0.560788\pi\) |
−0.828470 | + | 0.560034i | \(0.810788\pi\) | |||||||
\(798\) | 0.600879 | 0.0212709 | ||||||||
\(799\) | −3.68006 | + | 8.65737i | −0.130191 | + | 0.306276i | ||||
\(800\) | 19.4840i | 0.688864i | ||||||||
\(801\) | −1.30741 | + | 3.15637i | −0.0461951 | + | 0.111525i | ||||
\(802\) | 10.2461 | − | 15.3343i | 0.361802 | − | 0.541475i | ||||
\(803\) | −27.4723 | + | 31.4491i | −0.969476 | + | 1.10981i | ||||
\(804\) | 13.6214 | − | 2.70947i | 0.480390 | − | 0.0955555i | ||||
\(805\) | 10.6691 | + | 15.9674i | 0.376037 | + | 0.562778i | ||||
\(806\) | −16.5897 | − | 3.29989i | −0.584346 | − | 0.116234i | ||||
\(807\) | −4.94060 | + | 2.04646i | −0.173917 | + | 0.0720389i | ||||
\(808\) | −6.85410 | − | 16.5473i | −0.241127 | − | 0.582131i | ||||
\(809\) | −38.1207 | − | 7.58268i | −1.34025 | − | 0.266593i | −0.527675 | − | 0.849446i | \(-0.676936\pi\) |
−0.812577 | + | 0.582853i | \(0.801936\pi\) | |||||||
\(810\) | 3.37818 | − | 2.25722i | 0.118697 | − | 0.0793108i | ||||
\(811\) | −24.9045 | + | 4.95381i | −0.874514 | + | 0.173952i | −0.611887 | − | 0.790946i | \(-0.709589\pi\) |
−0.262628 | + | 0.964897i | \(0.584589\pi\) | |||||||
\(812\) | −30.1393 | + | 30.1393i | −1.05768 | + | 1.05768i | ||||
\(813\) | −20.9654 | − | 14.0086i | −0.735289 | − | 0.491304i | ||||
\(814\) | 3.67932 | − | 10.9084i | 0.128960 | − | 0.382340i | ||||
\(815\) | − | 17.6582i | − | 0.618539i | ||||||
\(816\) | 0.134252 | − | 0.643789i | 0.00469974 | − | 0.0225371i | ||||
\(817\) | −0.484430 | −0.0169481 | ||||||||
\(818\) | 4.07412 | − | 9.83579i | 0.142448 | − | 0.343900i | ||||
\(819\) | 7.89487 | + | 5.27518i | 0.275869 | + | 0.184330i | ||||
\(820\) | −6.21112 | + | 6.21112i | −0.216902 | + | 0.216902i | ||||
\(821\) | −6.82518 | − | 34.3125i | −0.238201 | − | 1.19752i | −0.895907 | − | 0.444241i | \(-0.853473\pi\) |
0.657707 | − | 0.753274i | \(-0.271527\pi\) | |||||||
\(822\) | 6.52780 | + | 9.76955i | 0.227683 | + | 0.340752i | ||||
\(823\) | −33.2573 | − | 6.61529i | −1.15928 | − | 0.230594i | −0.422263 | − | 0.906473i | \(-0.638764\pi\) |
−0.737013 | + | 0.675879i | \(0.763764\pi\) | |||||||
\(824\) | −2.56398 | − | 6.18999i | −0.0893205 | − | 0.215639i | ||||
\(825\) | 6.78275 | + | 13.6870i | 0.236145 | + | 0.476521i | ||||
\(826\) | −5.12676 | + | 25.7740i | −0.178383 | + | 0.896791i | ||||
\(827\) | −9.17260 | + | 6.12894i | −0.318963 | + | 0.213124i | −0.704736 | − | 0.709470i | \(-0.748935\pi\) |
0.385774 | + | 0.922594i | \(0.373935\pi\) | |||||||
\(828\) | −1.38693 | − | 6.97259i | −0.0481993 | − | 0.242314i | ||||
\(829\) | −4.52231 | + | 4.52231i | −0.157066 | + | 0.157066i | −0.781265 | − | 0.624199i | \(-0.785425\pi\) |
0.624199 | + | 0.781265i | \(0.285425\pi\) | |||||||
\(830\) | −7.16139 | + | 10.7178i | −0.248575 | + | 0.372019i | ||||
\(831\) | 7.96477 | − | 19.2286i | 0.276295 | − | 0.667034i | ||||
\(832\) | −12.0426 | −0.417504 | ||||||||
\(833\) | 16.0896 | + | 0.148633i | 0.557471 | + | 0.00514982i | ||||
\(834\) | 4.34055 | 0.150301 | ||||||||
\(835\) | −7.33365 | − | 3.03770i | −0.253791 | − | 0.105124i | ||||
\(836\) | −0.308788 | + | 0.537242i | −0.0106797 | + | 0.0185809i | ||||
\(837\) | 32.7925 | + | 32.7925i | 1.13348 | + | 1.13348i | ||||
\(838\) | −0.652348 | − | 3.27958i | −0.0225350 | − | 0.113291i | ||||
\(839\) | 7.42306 | − | 4.95993i | 0.256272 | − | 0.171236i | −0.420797 | − | 0.907155i | \(-0.638250\pi\) |
0.677070 | + | 0.735919i | \(0.263250\pi\) | |||||||
\(840\) | −15.0935 | − | 3.00229i | −0.520777 | − | 0.103589i | ||||
\(841\) | 78.5395 | − | 32.5321i | 2.70826 | − | 1.12180i | ||||
\(842\) | −16.5069 | + | 6.83738i | −0.568865 | + | 0.235632i | ||||
\(843\) | −25.0381 | − | 4.98038i | −0.862357 | − | 0.171534i | ||||
\(844\) | 2.78559 | − | 1.86127i | 0.0958840 | − | 0.0640676i | ||||
\(845\) | 1.84865 | + | 9.29381i | 0.0635956 | + | 0.319717i | ||||
\(846\) | 1.78937 | + | 1.78937i | 0.0615199 | + | 0.0615199i | ||||
\(847\) | −32.6372 | − | 15.9377i | −1.12143 | − | 0.547626i | ||||
\(848\) | −0.446093 | − | 0.184778i | −0.0153189 | − | 0.00634530i | ||||
\(849\) | 38.4597 | 1.31993 | ||||||||
\(850\) | −11.8302 | + | 4.77269i | −0.405774 | + | 0.163702i | ||||
\(851\) | −18.4027 | −0.630838 | ||||||||
\(852\) | −6.27633 | + | 15.1524i | −0.215023 | + | 0.519112i | ||||
\(853\) | 21.9343 | − | 32.8270i | 0.751016 | − | 1.12398i | −0.237282 | − | 0.971441i | \(-0.576256\pi\) |
0.988298 | − | 0.152535i | \(-0.0487436\pi\) | |||||||
\(854\) | −23.4551 | + | 23.4551i | −0.802616 | + | 0.802616i | ||||
\(855\) | −0.0463742 | − | 0.233139i | −0.00158597 | − | 0.00797319i | ||||
\(856\) | 13.5973 | − | 9.08541i | 0.464745 | − | 0.310533i | ||||
\(857\) | 0.180413 | − | 0.906999i | 0.00616280 | − | 0.0309825i | −0.977582 | − | 0.210557i | \(-0.932472\pi\) |
0.983744 | + | 0.179575i | \(0.0574722\pi\) | |||||||
\(858\) | −8.06936 | + | 3.99886i | −0.275483 | + | 0.136519i | ||||
\(859\) | 4.95487 | + | 11.9621i | 0.169058 | + | 0.408142i | 0.985589 | − | 0.169160i | \(-0.0541056\pi\) |
−0.816531 | + | 0.577302i | \(0.804106\pi\) | |||||||
\(860\) | 4.58442 | + | 0.911898i | 0.156328 | + | 0.0310955i | ||||
\(861\) | 14.3069 | + | 21.4118i | 0.487579 | + | 0.729713i | ||||
\(862\) | 2.41836 | + | 12.1579i | 0.0823695 | + | 0.414100i | ||||
\(863\) | 29.9456 | − | 29.9456i | 1.01936 | − | 1.01936i | 0.0195529 | − | 0.999809i | \(-0.493776\pi\) |
0.999809 | − | 0.0195529i | \(-0.00622429\pi\) | |||||||
\(864\) | 26.1867 | + | 17.4974i | 0.890891 | + | 0.595274i | ||||
\(865\) | −10.3911 | + | 25.0864i | −0.353308 | + | 0.852962i | ||||
\(866\) | −6.97257 | −0.236937 | ||||||||
\(867\) | −22.1526 | + | 3.98247i | −0.752342 | + | 0.135252i | ||||
\(868\) | − | 32.9226i | − | 1.11747i | ||||||
\(869\) | 43.9354 | + | 14.8190i | 1.49041 | + | 0.502701i | ||||
\(870\) | 12.8946 | + | 8.61591i | 0.437169 | + | 0.292107i | ||||
\(871\) | 14.1476 | − | 14.1476i | 0.479374 | − | 0.479374i | ||||
\(872\) | 20.8349 | − | 4.14432i | 0.705558 | − | 0.140344i | ||||
\(873\) | 12.5867 | − | 8.41014i | 0.425994 | − | 0.284640i | ||||
\(874\) | −0.635672 | − | 0.126443i | −0.0215019 | − | 0.00427700i | ||||
\(875\) | 13.2142 | + | 31.9018i | 0.446720 | + | 1.07848i | ||||
\(876\) | −18.6192 | + | 7.71232i | −0.629084 | + | 0.260575i | ||||
\(877\) | −36.7992 | − | 7.31981i | −1.24262 | − | 0.247173i | −0.470358 | − | 0.882476i | \(-0.655875\pi\) |
−0.772263 | + | 0.635303i | \(0.780875\pi\) | |||||||
\(878\) | 11.0094 | + | 16.4767i | 0.371549 | + | 0.556062i | ||||
\(879\) | 20.3993 | − | 4.05767i | 0.688051 | − | 0.136862i | ||||
\(880\) | −0.324216 | + | 0.371149i | −0.0109293 | + | 0.0125114i | ||||
\(881\) | −11.3162 | + | 16.9359i | −0.381252 | + | 0.570584i | −0.971619 | − | 0.236551i | \(-0.923983\pi\) |
0.590367 | + | 0.807135i | \(0.298983\pi\) | |||||||
\(882\) | 1.65640 | − | 3.99890i | 0.0557738 | − | 0.134650i | ||||
\(883\) | − | 33.5810i | − | 1.13009i | −0.825060 | − | 0.565046i | \(-0.808859\pi\) | ||
0.825060 | − | 0.565046i | \(-0.191141\pi\) | |||||||
\(884\) | 4.30043 | + | 10.6596i | 0.144639 | + | 0.358522i | ||||
\(885\) | −14.6130 | −0.491211 | ||||||||
\(886\) | 6.69082 | + | 2.77143i | 0.224783 | + | 0.0931080i | ||||
\(887\) | −28.9052 | + | 43.2597i | −0.970541 | + | 1.45252i | −0.0804374 | + | 0.996760i | \(0.525632\pi\) |
−0.890104 | + | 0.455758i | \(0.849368\pi\) | |||||||
\(888\) | 10.4279 | − | 10.4279i | 0.349937 | − | 0.349937i | ||||
\(889\) | −28.2955 | + | 5.62833i | −0.949002 | + | 0.188768i | ||||
\(890\) | −1.66966 | − | 2.49883i | −0.0559673 | − | 0.0837609i | ||||
\(891\) | 12.1816 | + | 1.57969i | 0.408099 | + | 0.0529217i | ||||
\(892\) | 23.4329 | − | 9.70622i | 0.784591 | − | 0.324988i | ||||
\(893\) | −0.325753 | + | 0.134931i | −0.0109009 | + | 0.00451531i | ||||
\(894\) | 4.41894 | − | 22.2155i | 0.147791 | − | 0.742998i | ||||
\(895\) | −7.24348 | − | 10.8406i | −0.242123 | − | 0.362362i | ||||
\(896\) | −4.22386 | − | 21.2348i | −0.141109 | − | 0.709403i | ||||
\(897\) | 10.1797 | + | 10.1797i | 0.339889 | + | 0.339889i | ||||
\(898\) | 27.1626 | + | 18.1495i | 0.906429 | + | 0.605656i | ||||
\(899\) | −33.7000 | + | 81.3591i | −1.12396 | + | 2.71348i | ||||
\(900\) | − | 5.24467i | − | 0.174822i | ||||||
\(901\) | −0.152653 | + | 16.5248i | −0.00508562 | + | 0.550522i | ||||
\(902\) | 17.3368 | − | 1.17011i | 0.577252 | − | 0.0389604i | ||||
\(903\) | 5.24412 | − | 12.6604i | 0.174514 | − | 0.421313i | ||||
\(904\) | 4.11980 | − | 6.16572i | 0.137023 | − | 0.205069i | ||||
\(905\) | 3.00785 | + | 3.00785i | 0.0999844 | + | 0.0999844i | ||||
\(906\) | 18.3544 | − | 3.65091i | 0.609783 | − | 0.121293i | ||||
\(907\) | −45.0785 | + | 30.1205i | −1.49681 | + | 1.00013i | −0.506346 | + | 0.862330i | \(0.669004\pi\) |
−0.990460 | + | 0.137803i | \(0.955996\pi\) | |||||||
\(908\) | 1.64942 | − | 8.29218i | 0.0547378 | − | 0.275186i | ||||
\(909\) | 2.99486 | + | 7.23023i | 0.0993332 | + | 0.239812i | ||||
\(910\) | −7.71671 | + | 3.19637i | −0.255806 | + | 0.105958i | ||||
\(911\) | 4.62200 | − | 23.2364i | 0.153134 | − | 0.769855i | −0.825525 | − | 0.564365i | \(-0.809121\pi\) |
0.978659 | − | 0.205490i | \(-0.0658789\pi\) | |||||||
\(912\) | 0.0204952 | − | 0.0136945i | 0.000678665 | − | 0.000453469i | ||||
\(913\) | −37.6240 | + | 10.1596i | −1.24517 | + | 0.336235i | ||||
\(914\) | 2.88419 | − | 2.88419i | 0.0954007 | − | 0.0954007i | ||||
\(915\) | −15.3366 | − | 10.2476i | −0.507014 | − | 0.338776i | ||||
\(916\) | −0.608403 | − | 0.252009i | −0.0201022 | − | 0.00832661i | ||||
\(917\) | 5.06064i | 0.167117i | ||||||||
\(918\) | −4.20946 | + | 20.1860i | −0.138933 | + | 0.666238i | ||||
\(919\) | 52.5704i | 1.73414i | 0.498188 | + | 0.867069i | \(0.333999\pi\) | ||||
−0.498188 | + | 0.867069i | \(0.666001\pi\) | |||||||
\(920\) | 15.3357 | + | 6.35227i | 0.505604 | + | 0.209428i | ||||
\(921\) | 8.06633 | − | 12.0721i | 0.265795 | − | 0.397790i | ||||
\(922\) | −2.09117 | − | 2.09117i | −0.0688689 | − | 0.0688689i | ||||
\(923\) | 4.60948 | + | 23.1734i | 0.151723 | + | 0.762763i | ||||
\(924\) | −10.6979 | − | 13.8859i | −0.351936 | − | 0.456813i | ||||
\(925\) | −13.3154 | − | 2.64860i | −0.437808 | − | 0.0870854i | ||||
\(926\) | −6.35905 | − | 15.3521i | −0.208971 | − | 0.504502i | ||||
\(927\) | 1.12032 | + | 2.70468i | 0.0367960 | + | 0.0888334i | ||||
\(928\) | −11.6673 | + | 58.6556i | −0.382999 | + | 1.92546i | ||||
\(929\) | −27.7455 | − | 41.5241i | −0.910301 | − | 1.36236i | −0.931947 | − | 0.362596i | \(-0.881891\pi\) |
0.0216457 | − | 0.999766i | \(-0.493109\pi\) | |||||||
\(930\) | −11.7485 | + | 2.33692i | −0.385248 | + | 0.0766306i | ||||
\(931\) | 0.426450 | + | 0.426450i | 0.0139763 | + | 0.0139763i | ||||
\(932\) | 2.21865 | + | 1.48245i | 0.0726742 | + | 0.0485593i | ||||
\(933\) | −3.34565 | − | 1.38582i | −0.109532 | − | 0.0453696i | ||||
\(934\) | 9.43800 | 0.308821 | ||||||||
\(935\) | 15.9316 | + | 5.53801i | 0.521019 | + | 0.181112i | ||||
\(936\) | 8.20728 | 0.268263 | ||||||||
\(937\) | 54.7629 | + | 22.6835i | 1.78903 | + | 0.741038i | 0.990231 | + | 0.139433i | \(0.0445281\pi\) |
0.798794 | + | 0.601605i | \(0.205472\pi\) | |||||||
\(938\) | −21.1864 | − | 14.1563i | −0.691760 | − | 0.462219i | ||||
\(939\) | 1.87832 | + | 1.87832i | 0.0612968 | + | 0.0612968i | ||||
\(940\) | 3.33677 | − | 0.663725i | 0.108834 | − | 0.0216483i | ||||
\(941\) | −30.8058 | − | 46.1042i | −1.00424 | − | 1.50295i | −0.857965 | − | 0.513709i | \(-0.828271\pi\) |
−0.146276 | − | 0.989244i | \(-0.546729\pi\) | |||||||
\(942\) | 2.60408 | − | 13.0916i | 0.0848456 | − | 0.426547i | ||||
\(943\) | −10.6297 | − | 25.6623i | −0.346149 | − | 0.835678i | ||||
\(944\) | 0.412541 | + | 0.995961i | 0.0134271 | + | 0.0324158i | ||||
\(945\) | 22.4604 | + | 4.46765i | 0.730636 | + | 0.145333i | ||||
\(946\) | −5.64320 | − | 7.32488i | −0.183476 | − | 0.238152i | ||||
\(947\) | −4.13571 | − | 20.7916i | −0.134393 | − | 0.675637i | −0.987967 | − | 0.154666i | \(-0.950570\pi\) |
0.853574 | − | 0.520971i | \(-0.174430\pi\) | |||||||
\(948\) | 15.8233 | + | 15.8233i | 0.513917 | + | 0.513917i | ||||
\(949\) | −16.1300 | + | 24.1403i | −0.523603 | + | 0.783627i | ||||
\(950\) | −0.441746 | − | 0.182977i | −0.0143321 | − | 0.00593656i | ||||
\(951\) | − | 36.4135i | − | 1.18079i | ||||||
\(952\) | 32.5050 | − | 21.2875i | 1.05349 | − | 0.689930i | ||||
\(953\) | 54.2500i | 1.75733i | 0.477439 | + | 0.878665i | \(0.341565\pi\) | ||||
−0.477439 | + | 0.878665i | \(0.658435\pi\) | |||||||
\(954\) | 4.10707 | + | 1.70120i | 0.132971 | + | 0.0550785i | ||||
\(955\) | −17.5516 | − | 11.7276i | −0.567957 | − | 0.379497i | ||||
\(956\) | 6.32927 | − | 6.32927i | 0.204703 | − | 0.204703i | ||||
\(957\) | 12.2231 | + | 45.2657i | 0.395117 | + | 1.46323i | ||||
\(958\) | −1.57441 | + | 1.05199i | −0.0508670 | + | 0.0339882i | ||||
\(959\) | −6.42755 | + | 32.3135i | −0.207556 | + | 1.04346i | ||||
\(960\) | −7.87919 | + | 3.26367i | −0.254300 | + | 0.105334i | ||||
\(961\) | −14.1669 | − | 34.2019i | −0.456997 | − | 1.10329i | ||||
\(962\) | 1.56152 | − | 7.85027i | 0.0503453 | − | 0.253103i | ||||
\(963\) | −5.94125 | + | 3.96982i | −0.191454 | + | 0.127926i | ||||
\(964\) | 33.6759 | − | 6.69856i | 1.08463 | − | 0.215746i | ||||
\(965\) | 0.170474 | + | 0.170474i | 0.00548777 | + | 0.00548777i | ||||
\(966\) | 10.1859 | − | 15.2443i | 0.327726 | − | 0.490477i | ||||
\(967\) | 0.737952 | − | 1.78157i | 0.0237309 | − | 0.0572915i | −0.911570 | − | 0.411145i | \(-0.865129\pi\) |
0.935301 | + | 0.353854i | \(0.115129\pi\) | |||||||
\(968\) | −31.1099 | + | 4.21861i | −0.999910 | + | 0.135591i | ||||
\(969\) | −0.697092 | − | 0.475154i | −0.0223938 | − | 0.0152642i | ||||
\(970\) | 13.3163i | 0.427560i | ||||||||
\(971\) | −17.5533 | + | 42.3774i | −0.563312 | + | 1.35996i | 0.343790 | + | 0.939047i | \(0.388289\pi\) |
−0.907102 | + | 0.420910i | \(0.861711\pi\) | |||||||
\(972\) | −12.0280 | − | 8.03686i | −0.385799 | − | 0.257783i | ||||
\(973\) | 8.60620 | + | 8.60620i | 0.275902 | + | 0.275902i | ||||
\(974\) | 4.04306 | + | 20.3258i | 0.129548 | + | 0.651282i | ||||
\(975\) | 5.90046 | + | 8.83066i | 0.188966 | + | 0.282807i | ||||
\(976\) | −0.265465 | + | 1.33458i | −0.00849732 | + | 0.0427189i | ||||
\(977\) | −19.8042 | + | 8.20317i | −0.633593 | + | 0.262443i | −0.676279 | − | 0.736646i | \(-0.736408\pi\) |
0.0426860 | + | 0.999089i | \(0.486408\pi\) | |||||||
\(978\) | −15.5752 | + | 6.45145i | −0.498040 | + | 0.206295i | ||||
\(979\) | 1.16849 | − | 9.01070i | 0.0373452 | − | 0.287983i | ||||
\(980\) | −3.23296 | − | 4.83847i | −0.103273 | − | 0.154559i | ||||
\(981\) | −9.10367 | + | 1.81083i | −0.290658 | + | 0.0578155i | ||||
\(982\) | −16.8926 | + | 16.8926i | −0.539065 | + | 0.539065i | ||||
\(983\) | −4.51996 | + | 6.76460i | −0.144164 | + | 0.215757i | −0.896524 | − | 0.442996i | \(-0.853916\pi\) |
0.752359 | + | 0.658753i | \(0.228916\pi\) | |||||||
\(984\) | 20.5647 | + | 8.51819i | 0.655580 | + | 0.271550i | ||||
\(985\) | −3.84904 | −0.122641 | ||||||||
\(986\) | −38.4722 | + | 7.28382i | −1.22521 | + | 0.231964i | ||||
\(987\) | − | 9.97413i | − | 0.317480i | ||||||
\(988\) | −0.164871 | + | 0.398035i | −0.00524526 | + | 0.0126632i | ||||
\(989\) | −8.21191 | + | 12.2900i | −0.261124 | + | 0.390799i | ||||
\(990\) | 2.98498 | − | 3.41707i | 0.0948689 | − | 0.108602i | ||||
\(991\) | 46.5232 | − | 9.25404i | 1.47786 | − | 0.293964i | 0.610646 | − | 0.791904i | \(-0.290910\pi\) |
0.867212 | + | 0.497940i | \(0.165910\pi\) | |||||||
\(992\) | −25.6638 | − | 38.4085i | −0.814825 | − | 1.21947i | ||||
\(993\) | −20.0974 | − | 3.99763i | −0.637773 | − | 0.126861i | ||||
\(994\) | 27.8000 | − | 11.5151i | 0.881761 | − | 0.365237i | ||||
\(995\) | −6.24777 | − | 15.0834i | −0.198067 | − | 0.478177i | ||||
\(996\) | −18.4469 | − | 3.66931i | −0.584511 | − | 0.116267i | ||||
\(997\) | −12.3302 | + | 8.23875i | −0.390500 | + | 0.260924i | −0.735285 | − | 0.677758i | \(-0.762952\pi\) |
0.344785 | + | 0.938682i | \(0.387952\pi\) | |||||||
\(998\) | 24.2252 | − | 4.81868i | 0.766834 | − | 0.152533i | ||||
\(999\) | −15.5175 | + | 15.5175i | −0.490952 | + | 0.490952i |
(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 | 187.2.m.a.10.7 | ✓ | 128 | |
11.10 | odd | 2 | inner | 187.2.m.a.10.10 | yes | 128 | |
17.12 | odd | 16 | inner | 187.2.m.a.131.10 | yes | 128 | |
187.131 | even | 16 | inner | 187.2.m.a.131.7 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
187.2.m.a.10.7 | ✓ | 128 | 1.1 | even | 1 | trivial | |
187.2.m.a.10.10 | yes | 128 | 11.10 | odd | 2 | inner | |
187.2.m.a.131.7 | yes | 128 | 187.131 | even | 16 | inner | |
187.2.m.a.131.10 | yes | 128 | 17.12 | odd | 16 | inner |