Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(44,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.44");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cd (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 200.1 | ||
Root | \(0.965926 + 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 273.200 |
Dual form | 273.2.cd.c.86.1 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | + | 0.965926i | −0.183013 | + | 0.683013i | 0.812035 | + | 0.583609i | \(0.198360\pi\) |
−0.995047 | + | 0.0994033i | \(0.968307\pi\) | |||||||
\(3\) | 0.599900 | − | 1.62484i | 0.346353 | − | 0.938104i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 0.883663 | − | 3.29788i | 0.395186 | − | 1.47486i | −0.426276 | − | 0.904593i | \(-0.640175\pi\) |
0.821463 | − | 0.570262i | \(-0.193158\pi\) | |||||||
\(6\) | 1.41421 | + | 1.00000i | 0.577350 | + | 0.408248i | ||||
\(7\) | 1.15539 | + | 2.38014i | 0.436698 | + | 0.899608i | ||||
\(8\) | −2.12132 | + | 2.12132i | −0.750000 | + | 0.750000i | ||||
\(9\) | −2.28024 | − | 1.94949i | −0.760080 | − | 0.649830i | ||||
\(10\) | 2.95680 | + | 1.70711i | 0.935021 | + | 0.539835i | ||||
\(11\) | 0.0444063 | + | 0.165727i | 0.0133890 | + | 0.0499685i | 0.972297 | − | 0.233748i | \(-0.0750991\pi\) |
−0.958908 | + | 0.283717i | \(0.908432\pi\) | |||||||
\(12\) | 1.33195 | − | 1.10721i | 0.384501 | − | 0.319623i | ||||
\(13\) | 2.00000 | − | 3.00000i | 0.554700 | − | 0.832050i | ||||
\(14\) | −2.59808 | + | 0.500000i | −0.694365 | + | 0.133631i | ||||
\(15\) | −4.82843 | − | 3.41421i | −1.24669 | − | 0.881546i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.91421 | − | 3.31552i | 0.464265 | − | 0.804131i | −0.534903 | − | 0.844913i | \(-0.679652\pi\) |
0.999168 | + | 0.0407829i | \(0.0129852\pi\) | |||||||
\(18\) | 2.47323 | − | 1.69798i | 0.582946 | − | 0.400217i | ||||
\(19\) | −4.49818 | − | 1.20528i | −1.03195 | − | 0.276511i | −0.297178 | − | 0.954822i | \(-0.596045\pi\) |
−0.734775 | + | 0.678311i | \(0.762712\pi\) | |||||||
\(20\) | 2.41421 | − | 2.41421i | 0.539835 | − | 0.539835i | ||||
\(21\) | 4.56048 | − | 0.449490i | 0.995178 | − | 0.0980867i | ||||
\(22\) | −0.171573 | −0.0365795 | ||||||||
\(23\) | 4.70711 | + | 8.15295i | 0.981500 | + | 1.70001i | 0.656563 | + | 0.754272i | \(0.272010\pi\) |
0.324937 | + | 0.945736i | \(0.394657\pi\) | |||||||
\(24\) | 2.17423 | + | 4.71940i | 0.443814 | + | 0.963343i | ||||
\(25\) | −5.76500 | − | 3.32843i | −1.15300 | − | 0.665685i | ||||
\(26\) | 2.38014 | + | 2.70831i | 0.466784 | + | 0.531143i | ||||
\(27\) | −4.53553 | + | 2.53553i | −0.872864 | + | 0.487964i | ||||
\(28\) | −0.189469 | + | 2.63896i | −0.0358062 | + | 0.498716i | ||||
\(29\) | − | 1.00000i | − | 0.185695i | −0.995680 | − | 0.0928477i | \(-0.970403\pi\) | ||
0.995680 | − | 0.0928477i | \(-0.0295970\pi\) | |||||||
\(30\) | 4.54757 | − | 3.78024i | 0.830268 | − | 0.690174i | ||||
\(31\) | 1.24969 | + | 4.66390i | 0.224451 | + | 0.837662i | 0.982624 | + | 0.185608i | \(0.0594255\pi\) |
−0.758173 | + | 0.652053i | \(0.773908\pi\) | |||||||
\(32\) | −4.82963 | + | 1.29410i | −0.853766 | + | 0.228766i | ||||
\(33\) | 0.295919 | + | 0.0272661i | 0.0515130 | + | 0.00474642i | ||||
\(34\) | 2.70711 | + | 2.70711i | 0.464265 | + | 0.464265i | ||||
\(35\) | 8.87039 | − | 1.70711i | 1.49937 | − | 0.288554i | ||||
\(36\) | −1.00000 | − | 2.82843i | −0.166667 | − | 0.471405i | ||||
\(37\) | −1.03528 | + | 3.86370i | −0.170198 | + | 0.635189i | 0.827121 | + | 0.562023i | \(0.189977\pi\) |
−0.997320 | + | 0.0731657i | \(0.976690\pi\) | |||||||
\(38\) | 2.32843 | − | 4.03295i | 0.377721 | − | 0.654232i | ||||
\(39\) | −3.67473 | − | 5.04939i | −0.588428 | − | 0.808550i | ||||
\(40\) | 5.12132 | + | 8.87039i | 0.809752 | + | 1.40253i | ||||
\(41\) | 4.00000 | + | 4.00000i | 0.624695 | + | 0.624695i | 0.946728 | − | 0.322033i | \(-0.104366\pi\) |
−0.322033 | + | 0.946728i | \(0.604366\pi\) | |||||||
\(42\) | −0.746165 | + | 4.52142i | −0.115136 | + | 0.697670i | ||||
\(43\) | − | 6.00000i | − | 0.914991i | −0.889212 | − | 0.457496i | \(-0.848747\pi\) | ||
0.889212 | − | 0.457496i | \(-0.151253\pi\) | |||||||
\(44\) | −0.0444063 | + | 0.165727i | −0.00669451 | + | 0.0249842i | ||||
\(45\) | −8.44414 | + | 5.79725i | −1.25878 | + | 0.864204i | ||||
\(46\) | −9.09343 | + | 2.43658i | −1.34075 | + | 0.359254i | ||||
\(47\) | −10.2937 | − | 2.75820i | −1.50149 | − | 0.402324i | −0.587895 | − | 0.808938i | \(-0.700043\pi\) |
−0.913600 | + | 0.406613i | \(0.866710\pi\) | |||||||
\(48\) | −1.70711 | + | 0.292893i | −0.246400 | + | 0.0422755i | ||||
\(49\) | −4.33013 | + | 5.50000i | −0.618590 | + | 0.785714i | ||||
\(50\) | 4.70711 | − | 4.70711i | 0.665685 | − | 0.665685i | ||||
\(51\) | −4.23886 | − | 5.09928i | −0.593559 | − | 0.714042i | ||||
\(52\) | 3.23205 | − | 1.59808i | 0.448205 | − | 0.221613i | ||||
\(53\) | −2.30090 | − | 1.32843i | −0.316053 | − | 0.182473i | 0.333579 | − | 0.942722i | \(-0.391744\pi\) |
−0.649632 | + | 0.760249i | \(0.725077\pi\) | |||||||
\(54\) | −1.27526 | − | 5.03723i | −0.173540 | − | 0.685481i | ||||
\(55\) | 0.585786 | 0.0789874 | ||||||||
\(56\) | −7.50000 | − | 2.59808i | −1.00223 | − | 0.347183i | ||||
\(57\) | −4.65685 | + | 6.58579i | −0.616815 | + | 0.872309i | ||||
\(58\) | 0.965926 | + | 0.258819i | 0.126832 | + | 0.0339846i | ||||
\(59\) | 1.93733 | + | 7.23023i | 0.252219 | + | 0.941295i | 0.969616 | + | 0.244631i | \(0.0786667\pi\) |
−0.717397 | + | 0.696665i | \(0.754667\pi\) | |||||||
\(60\) | −2.47443 | − | 5.37101i | −0.319448 | − | 0.693394i | ||||
\(61\) | 0.500000 | + | 0.866025i | 0.0640184 | + | 0.110883i | 0.896258 | − | 0.443533i | \(-0.146275\pi\) |
−0.832240 | + | 0.554416i | \(0.812942\pi\) | |||||||
\(62\) | −4.82843 | −0.613211 | ||||||||
\(63\) | 2.00548 | − | 7.67972i | 0.252667 | − | 0.967553i | ||||
\(64\) | − | 7.00000i | − | 0.875000i | ||||||
\(65\) | −8.12630 | − | 9.24674i | −1.00794 | − | 1.14692i | ||||
\(66\) | −0.102927 | + | 0.278779i | −0.0126694 | + | 0.0343154i | ||||
\(67\) | 0.902057 | + | 3.36652i | 0.110204 | + | 0.411286i | 0.998883 | − | 0.0472424i | \(-0.0150433\pi\) |
−0.888680 | + | 0.458529i | \(0.848377\pi\) | |||||||
\(68\) | 3.31552 | − | 1.91421i | 0.402065 | − | 0.232132i | ||||
\(69\) | 16.0711 | − | 2.75736i | 1.93473 | − | 0.331947i | ||||
\(70\) | −0.646887 | + | 9.00997i | −0.0773177 | + | 1.07690i | ||||
\(71\) | 7.53553 | + | 7.53553i | 0.894303 | + | 0.894303i | 0.994925 | − | 0.100621i | \(-0.0320831\pi\) |
−0.100621 | + | 0.994925i | \(0.532083\pi\) | |||||||
\(72\) | 8.97261 | − | 0.701625i | 1.05743 | − | 0.0826873i | ||||
\(73\) | −6.92721 | + | 1.85614i | −0.810768 | + | 0.217245i | −0.640306 | − | 0.768120i | \(-0.721193\pi\) |
−0.170462 | + | 0.985364i | \(0.554526\pi\) | |||||||
\(74\) | −3.46410 | − | 2.00000i | −0.402694 | − | 0.232495i | ||||
\(75\) | −8.86661 | + | 7.37051i | −1.02383 | + | 0.851073i | ||||
\(76\) | −3.29289 | − | 3.29289i | −0.377721 | − | 0.377721i | ||||
\(77\) | −0.343146 | + | 0.297173i | −0.0391051 | + | 0.0338660i | ||||
\(78\) | 5.82843 | − | 2.24264i | 0.659939 | − | 0.253929i | ||||
\(79\) | 0.707107 | + | 1.22474i | 0.0795557 | + | 0.137795i | 0.903058 | − | 0.429518i | \(-0.141317\pi\) |
−0.823503 | + | 0.567312i | \(0.807983\pi\) | |||||||
\(80\) | −3.29788 | + | 0.883663i | −0.368714 | + | 0.0987966i | ||||
\(81\) | 1.39898 | + | 8.89060i | 0.155442 | + | 0.987845i | ||||
\(82\) | −4.89898 | + | 2.82843i | −0.541002 | + | 0.312348i | ||||
\(83\) | −11.0711 | − | 11.0711i | −1.21521 | − | 1.21521i | −0.969291 | − | 0.245917i | \(-0.920911\pi\) |
−0.245917 | − | 0.969291i | \(-0.579089\pi\) | |||||||
\(84\) | 4.17423 | + | 1.89097i | 0.455446 | + | 0.206322i | ||||
\(85\) | −9.24264 | − | 9.24264i | −1.00251 | − | 1.00251i | ||||
\(86\) | 5.79555 | + | 1.55291i | 0.624951 | + | 0.167455i | ||||
\(87\) | −1.62484 | − | 0.599900i | −0.174202 | − | 0.0643161i | ||||
\(88\) | −0.445759 | − | 0.257359i | −0.0475181 | − | 0.0274346i | ||||
\(89\) | −4.33245 | − | 1.16088i | −0.459239 | − | 0.123053i | 0.0217804 | − | 0.999763i | \(-0.493067\pi\) |
−0.481019 | + | 0.876710i | \(0.659733\pi\) | |||||||
\(90\) | −3.41421 | − | 9.65685i | −0.359890 | − | 1.01792i | ||||
\(91\) | 9.45121 | + | 1.29410i | 0.990756 | + | 0.135658i | ||||
\(92\) | 9.41421i | 0.981500i | ||||||||
\(93\) | 8.32780 | + | 0.767327i | 0.863553 | + | 0.0795681i | ||||
\(94\) | 5.32843 | − | 9.22911i | 0.549585 | − | 0.951910i | ||||
\(95\) | −7.94975 | + | 13.7694i | −0.815627 | + | 1.41271i | ||||
\(96\) | −0.794593 | + | 8.62372i | −0.0810978 | + | 0.880155i | ||||
\(97\) | −7.00000 | + | 7.00000i | −0.710742 | + | 0.710742i | −0.966691 | − | 0.255948i | \(-0.917612\pi\) |
0.255948 | + | 0.966691i | \(0.417612\pi\) | |||||||
\(98\) | −4.19187 | − | 5.60609i | −0.423443 | − | 0.566300i | ||||
\(99\) | 0.221825 | − | 0.464466i | 0.0222943 | − | 0.0466806i | ||||
\(100\) | −3.32843 | − | 5.76500i | −0.332843 | − | 0.576500i | ||||
\(101\) | 2.00000 | − | 3.46410i | 0.199007 | − | 0.344691i | −0.749199 | − | 0.662344i | \(-0.769562\pi\) |
0.948207 | + | 0.317653i | \(0.102895\pi\) | |||||||
\(102\) | 6.02262 | − | 2.77463i | 0.596328 | − | 0.274730i | ||||
\(103\) | −9.08052 | + | 5.24264i | −0.894730 | + | 0.516573i | −0.875487 | − | 0.483242i | \(-0.839459\pi\) |
−0.0192435 | + | 0.999815i | \(0.506126\pi\) | |||||||
\(104\) | 2.12132 | + | 10.6066i | 0.208013 | + | 1.04006i | ||||
\(105\) | 2.54757 | − | 15.4371i | 0.248617 | − | 1.50651i | ||||
\(106\) | 1.87868 | − | 1.87868i | 0.182473 | − | 0.182473i | ||||
\(107\) | −1.01461 | + | 0.585786i | −0.0980862 | + | 0.0566301i | −0.548241 | − | 0.836321i | \(-0.684702\pi\) |
0.450154 | + | 0.892951i | \(0.351369\pi\) | |||||||
\(108\) | −5.19565 | − | 0.0719302i | −0.499952 | − | 0.00692148i | ||||
\(109\) | 1.18689 | + | 4.42953i | 0.113683 | + | 0.424272i | 0.999185 | − | 0.0403642i | \(-0.0128518\pi\) |
−0.885502 | + | 0.464636i | \(0.846185\pi\) | |||||||
\(110\) | −0.151613 | + | 0.565826i | −0.0144557 | + | 0.0539494i | ||||
\(111\) | 5.65685 | + | 4.00000i | 0.536925 | + | 0.379663i | ||||
\(112\) | 1.48356 | − | 2.19067i | 0.140184 | − | 0.206999i | ||||
\(113\) | − | 9.00000i | − | 0.846649i | −0.905978 | − | 0.423324i | \(-0.860863\pi\) | ||
0.905978 | − | 0.423324i | \(-0.139137\pi\) | |||||||
\(114\) | −5.15610 | − | 6.20270i | −0.482913 | − | 0.580936i | ||||
\(115\) | 31.0469 | − | 8.31900i | 2.89514 | − | 0.775750i | ||||
\(116\) | 0.500000 | − | 0.866025i | 0.0464238 | − | 0.0804084i | ||||
\(117\) | −10.4089 | + | 2.94174i | −0.962308 | + | 0.271964i | ||||
\(118\) | −7.48528 | −0.689076 | ||||||||
\(119\) | 10.1031 | + | 0.725367i | 0.926146 | + | 0.0664943i | ||||
\(120\) | 17.4853 | − | 3.00000i | 1.59618 | − | 0.273861i | ||||
\(121\) | 9.50079 | − | 5.48528i | 0.863708 | − | 0.498662i | ||||
\(122\) | −0.965926 | + | 0.258819i | −0.0874508 | + | 0.0234324i | ||||
\(123\) | 8.89898 | − | 4.09978i | 0.802394 | − | 0.369664i | ||||
\(124\) | −1.24969 | + | 4.66390i | −0.112225 | + | 0.418831i | ||||
\(125\) | −4.00000 | + | 4.00000i | −0.357771 | + | 0.357771i | ||||
\(126\) | 6.89898 | + | 3.92480i | 0.614610 | + | 0.349649i | ||||
\(127\) | − | 12.1421i | − | 1.07744i | −0.842485 | − | 0.538720i | \(-0.818908\pi\) | ||
0.842485 | − | 0.538720i | \(-0.181092\pi\) | |||||||
\(128\) | −2.89778 | − | 0.776457i | −0.256130 | − | 0.0686298i | ||||
\(129\) | −9.74907 | − | 3.59940i | −0.858357 | − | 0.316910i | ||||
\(130\) | 11.0349 | − | 5.45617i | 0.967826 | − | 0.478538i | ||||
\(131\) | 6.21076 | − | 3.58579i | 0.542637 | − | 0.313292i | −0.203510 | − | 0.979073i | \(-0.565235\pi\) |
0.746147 | + | 0.665781i | \(0.231902\pi\) | |||||||
\(132\) | 0.242641 | + | 0.171573i | 0.0211192 | + | 0.0149335i | ||||
\(133\) | −2.32843 | − | 12.0989i | −0.201900 | − | 1.04910i | ||||
\(134\) | −3.48528 | −0.301082 | ||||||||
\(135\) | 4.35399 | + | 17.1982i | 0.374732 | + | 1.48018i | ||||
\(136\) | 2.97261 | + | 11.0939i | 0.254899 | + | 0.951297i | ||||
\(137\) | 2.22217 | + | 8.29323i | 0.189852 | + | 0.708539i | 0.993540 | + | 0.113487i | \(0.0362019\pi\) |
−0.803687 | + | 0.595052i | \(0.797131\pi\) | |||||||
\(138\) | −1.49609 | + | 16.2371i | −0.127356 | + | 1.38220i | ||||
\(139\) | 17.0711 | 1.44795 | 0.723975 | − | 0.689827i | \(-0.242313\pi\) | ||||
0.723975 | + | 0.689827i | \(0.242313\pi\) | |||||||
\(140\) | 8.53553 | + | 2.95680i | 0.721384 | + | 0.249895i | ||||
\(141\) | −10.6569 | + | 15.0711i | −0.897469 | + | 1.26921i | ||||
\(142\) | −9.22911 | + | 5.32843i | −0.774489 | + | 0.447152i | ||||
\(143\) | 0.585993 | + | 0.198234i | 0.0490032 | + | 0.0165772i | ||||
\(144\) | −0.548188 | + | 2.94949i | −0.0456823 | + | 0.245791i | ||||
\(145\) | −3.29788 | − | 0.883663i | −0.273874 | − | 0.0733843i | ||||
\(146\) | − | 7.17157i | − | 0.593524i | ||||||
\(147\) | 6.33900 | + | 10.3352i | 0.522832 | + | 0.852436i | ||||
\(148\) | −2.82843 | + | 2.82843i | −0.232495 | + | 0.232495i | ||||
\(149\) | −0.643238 | + | 2.40060i | −0.0526961 | + | 0.196665i | −0.987256 | − | 0.159142i | \(-0.949127\pi\) |
0.934560 | + | 0.355807i | \(0.115794\pi\) | |||||||
\(150\) | −4.82452 | − | 10.4721i | −0.393920 | − | 0.855044i | ||||
\(151\) | 13.6887 | − | 3.66787i | 1.11397 | − | 0.298487i | 0.345529 | − | 0.938408i | \(-0.387700\pi\) |
0.768441 | + | 0.639921i | \(0.221033\pi\) | |||||||
\(152\) | 12.0989 | − | 6.98528i | 0.981347 | − | 0.566581i | ||||
\(153\) | −10.8284 | + | 3.82843i | −0.875426 | + | 0.309510i | ||||
\(154\) | −0.198234 | − | 0.408367i | −0.0159742 | − | 0.0329072i | ||||
\(155\) | 16.4853 | 1.32413 | ||||||||
\(156\) | −0.657717 | − | 6.21027i | −0.0526595 | − | 0.497219i | ||||
\(157\) | −1.91421 | + | 3.31552i | −0.152771 | + | 0.264607i | −0.932245 | − | 0.361827i | \(-0.882153\pi\) |
0.779474 | + | 0.626434i | \(0.215486\pi\) | |||||||
\(158\) | −1.36603 | + | 0.366025i | −0.108675 | + | 0.0291194i | ||||
\(159\) | −3.53880 | + | 2.94169i | −0.280645 | + | 0.233291i | ||||
\(160\) | 17.0711i | 1.34959i | ||||||||
\(161\) | −13.9666 | + | 20.6234i | −1.10072 | + | 1.62535i | ||||
\(162\) | −8.94975 | − | 0.949747i | −0.703159 | − | 0.0746192i | ||||
\(163\) | −2.02615 | + | 7.56168i | −0.158700 | + | 0.592276i | 0.840060 | + | 0.542493i | \(0.182520\pi\) |
−0.998760 | + | 0.0497831i | \(0.984147\pi\) | |||||||
\(164\) | 1.46410 | + | 5.46410i | 0.114327 | + | 0.426675i | ||||
\(165\) | 0.351414 | − | 0.951812i | 0.0273575 | − | 0.0740985i | ||||
\(166\) | 13.5592 | − | 7.82843i | 1.05240 | − | 0.607604i | ||||
\(167\) | 8.46447 | − | 8.46447i | 0.655000 | − | 0.655000i | −0.299193 | − | 0.954193i | \(-0.596717\pi\) |
0.954193 | + | 0.299193i | \(0.0967173\pi\) | |||||||
\(168\) | −8.72072 | + | 10.6277i | −0.672818 | + | 0.819948i | ||||
\(169\) | −5.00000 | − | 12.0000i | −0.384615 | − | 0.923077i | ||||
\(170\) | 11.3199 | − | 6.53553i | 0.868195 | − | 0.501253i | ||||
\(171\) | 7.90723 | + | 11.5175i | 0.604681 | + | 0.880764i | ||||
\(172\) | 3.00000 | − | 5.19615i | 0.228748 | − | 0.396203i | ||||
\(173\) | 0.742641 | + | 1.28629i | 0.0564619 | + | 0.0977949i | 0.892875 | − | 0.450305i | \(-0.148685\pi\) |
−0.836413 | + | 0.548100i | \(0.815351\pi\) | |||||||
\(174\) | 1.00000 | − | 1.41421i | 0.0758098 | − | 0.107211i | ||||
\(175\) | 1.26127 | − | 17.5672i | 0.0953427 | − | 1.32795i | ||||
\(176\) | 0.121320 | − | 0.121320i | 0.00914486 | − | 0.00914486i | ||||
\(177\) | 12.9102 | + | 1.18955i | 0.970390 | + | 0.0894121i | ||||
\(178\) | 2.24264 | − | 3.88437i | 0.168093 | − | 0.291146i | ||||
\(179\) | 9.24264 | − | 16.0087i | 0.690827 | − | 1.19655i | −0.280740 | − | 0.959784i | \(-0.590580\pi\) |
0.971567 | − | 0.236764i | \(-0.0760869\pi\) | |||||||
\(180\) | −10.2115 | + | 0.798499i | −0.761118 | + | 0.0595166i | ||||
\(181\) | − | 19.1421i | − | 1.42282i | −0.702775 | − | 0.711412i | \(-0.748056\pi\) | ||
0.702775 | − | 0.711412i | \(-0.251944\pi\) | |||||||
\(182\) | −3.69615 | + | 8.79423i | −0.273977 | + | 0.651872i | ||||
\(183\) | 1.70711 | − | 0.292893i | 0.126193 | − | 0.0216513i | ||||
\(184\) | −27.2803 | − | 7.30973i | −2.01113 | − | 0.538881i | ||||
\(185\) | 11.8272 | + | 6.82843i | 0.869552 | + | 0.502036i | ||||
\(186\) | −2.89658 | + | 7.84544i | −0.212387 | + | 0.575256i | ||||
\(187\) | 0.634472 | + | 0.170006i | 0.0463972 | + | 0.0124321i | ||||
\(188\) | −7.53553 | − | 7.53553i | −0.549585 | − | 0.549585i | ||||
\(189\) | −11.2753 | − | 7.86566i | −0.820154 | − | 0.572143i | ||||
\(190\) | −11.2426 | − | 11.2426i | −0.815627 | − | 0.815627i | ||||
\(191\) | −14.6969 | + | 8.48528i | −1.06343 | + | 0.613973i | −0.926380 | − | 0.376590i | \(-0.877096\pi\) |
−0.137053 | + | 0.990564i | \(0.543763\pi\) | |||||||
\(192\) | −11.3739 | − | 4.19930i | −0.820841 | − | 0.303059i | ||||
\(193\) | 2.73205 | − | 0.732051i | 0.196657 | − | 0.0526942i | −0.159146 | − | 0.987255i | \(-0.550874\pi\) |
0.355803 | + | 0.934561i | \(0.384207\pi\) | |||||||
\(194\) | −4.94975 | − | 8.57321i | −0.355371 | − | 0.615521i | ||||
\(195\) | −19.8995 | + | 7.65685i | −1.42503 | + | 0.548319i | ||||
\(196\) | −6.50000 | + | 2.59808i | −0.464286 | + | 0.185577i | ||||
\(197\) | −5.00000 | − | 5.00000i | −0.356235 | − | 0.356235i | 0.506188 | − | 0.862423i | \(-0.331054\pi\) |
−0.862423 | + | 0.506188i | \(0.831054\pi\) | |||||||
\(198\) | 0.391227 | + | 0.334480i | 0.0278033 | + | 0.0237704i | ||||
\(199\) | 0.804479 | + | 0.464466i | 0.0570280 | + | 0.0329251i | 0.528243 | − | 0.849093i | \(-0.322851\pi\) |
−0.471215 | + | 0.882018i | \(0.656184\pi\) | |||||||
\(200\) | 19.2901 | − | 5.16876i | 1.36401 | − | 0.365487i | ||||
\(201\) | 6.01122 | + | 0.553876i | 0.423999 | + | 0.0390674i | ||||
\(202\) | 2.82843 | + | 2.82843i | 0.199007 | + | 0.199007i | ||||
\(203\) | 2.38014 | − | 1.15539i | 0.167053 | − | 0.0810928i | ||||
\(204\) | −1.12132 | − | 6.53553i | −0.0785081 | − | 0.457579i | ||||
\(205\) | 16.7262 | − | 9.65685i | 1.16821 | − | 0.674464i | ||||
\(206\) | −2.71379 | − | 10.1280i | −0.189079 | − | 0.705651i | ||||
\(207\) | 5.16076 | − | 27.7671i | 0.358698 | − | 1.92995i | ||||
\(208\) | −3.59808 | − | 0.232051i | −0.249482 | − | 0.0160898i | ||||
\(209\) | − | 0.798990i | − | 0.0552673i | ||||||
\(210\) | 14.2517 | + | 6.45617i | 0.983463 | + | 0.445518i | ||||
\(211\) | −0.928932 | −0.0639503 | −0.0319752 | − | 0.999489i | \(-0.510180\pi\) | ||||
−0.0319752 | + | 0.999489i | \(0.510180\pi\) | |||||||
\(212\) | −1.32843 | − | 2.30090i | −0.0912367 | − | 0.158027i | ||||
\(213\) | 16.7646 | − | 7.72350i | 1.14869 | − | 0.529206i | ||||
\(214\) | −0.303225 | − | 1.13165i | −0.0207281 | − | 0.0773582i | ||||
\(215\) | −19.7873 | − | 5.30198i | −1.34948 | − | 0.361592i | ||||
\(216\) | 4.24264 | − | 15.0000i | 0.288675 | − | 1.02062i | ||||
\(217\) | −9.65685 | + | 8.36308i | −0.655550 | + | 0.567723i | ||||
\(218\) | −4.58579 | −0.310589 | ||||||||
\(219\) | −1.13970 | + | 12.3691i | −0.0770136 | + | 0.835829i | ||||
\(220\) | 0.507306 | + | 0.292893i | 0.0342026 | + | 0.0197469i | ||||
\(221\) | −6.11812 | − | 12.3737i | −0.411549 | − | 0.832343i | ||||
\(222\) | −5.32780 | + | 4.42883i | −0.357579 | + | 0.297243i | ||||
\(223\) | 3.53553 | − | 3.53553i | 0.236757 | − | 0.236757i | −0.578749 | − | 0.815506i | \(-0.696459\pi\) |
0.815506 | + | 0.578749i | \(0.196459\pi\) | |||||||
\(224\) | −8.66025 | − | 10.0000i | −0.578638 | − | 0.668153i | ||||
\(225\) | 6.65685 | + | 18.8284i | 0.443790 | + | 1.25523i | ||||
\(226\) | 8.69333 | + | 2.32937i | 0.578272 | + | 0.154947i | ||||
\(227\) | −5.79555 | + | 1.55291i | −0.384664 | + | 0.103071i | −0.445969 | − | 0.895049i | \(-0.647141\pi\) |
0.0613041 | + | 0.998119i | \(0.480474\pi\) | |||||||
\(228\) | −7.32585 | + | 3.37503i | −0.485166 | + | 0.223517i | ||||
\(229\) | 5.81962 | − | 21.7191i | 0.384571 | − | 1.43524i | −0.454270 | − | 0.890864i | \(-0.650100\pi\) |
0.838842 | − | 0.544376i | \(-0.183233\pi\) | |||||||
\(230\) | 32.1421i | 2.11939i | ||||||||
\(231\) | 0.277007 | + | 0.735833i | 0.0182257 | + | 0.0484142i | ||||
\(232\) | 2.12132 | + | 2.12132i | 0.139272 | + | 0.139272i | ||||
\(233\) | −6.32843 | − | 10.9612i | −0.414589 | − | 0.718089i | 0.580796 | − | 0.814049i | \(-0.302741\pi\) |
−0.995385 | + | 0.0959597i | \(0.969408\pi\) | |||||||
\(234\) | −0.147466 | − | 10.8156i | −0.00964018 | − | 0.707041i | ||||
\(235\) | −18.1924 | + | 31.5101i | −1.18674 | + | 2.05549i | ||||
\(236\) | −1.93733 | + | 7.23023i | −0.126110 | + | 0.470648i | ||||
\(237\) | 2.41421 | − | 0.414214i | 0.156820 | − | 0.0269061i | ||||
\(238\) | −3.31552 | + | 9.57107i | −0.214913 | + | 0.620400i | ||||
\(239\) | −11.5355 | − | 11.5355i | −0.746172 | − | 0.746172i | 0.227586 | − | 0.973758i | \(-0.426917\pi\) |
−0.973758 | + | 0.227586i | \(0.926917\pi\) | |||||||
\(240\) | −0.542582 | + | 5.88865i | −0.0350235 | + | 0.380111i | ||||
\(241\) | −13.2886 | + | 3.56067i | −0.855993 | + | 0.229363i | −0.660021 | − | 0.751247i | \(-0.729453\pi\) |
−0.195972 | + | 0.980610i | \(0.562786\pi\) | |||||||
\(242\) | 2.83939 | + | 10.5967i | 0.182523 | + | 0.681185i | ||||
\(243\) | 15.2851 | + | 3.06035i | 0.980540 | + | 0.196322i | ||||
\(244\) | 1.00000i | 0.0640184i | ||||||||
\(245\) | 14.3119 | + | 19.1404i | 0.914357 | + | 1.22283i | ||||
\(246\) | 1.65685 | + | 9.65685i | 0.105637 | + | 0.615699i | ||||
\(247\) | −12.6122 | + | 11.0840i | −0.802495 | + | 0.705256i | ||||
\(248\) | −12.5446 | − | 7.24264i | −0.796584 | − | 0.459908i | ||||
\(249\) | −24.6303 | + | 11.3472i | −1.56088 | + | 0.719101i | ||||
\(250\) | −2.82843 | − | 4.89898i | −0.178885 | − | 0.309839i | ||||
\(251\) | −2.00000 | −0.126239 | −0.0631194 | − | 0.998006i | \(-0.520105\pi\) | ||||
−0.0631194 | + | 0.998006i | \(0.520105\pi\) | |||||||
\(252\) | 5.57666 | − | 5.64809i | 0.351296 | − | 0.355796i | ||||
\(253\) | −1.14214 | + | 1.14214i | −0.0718055 | + | 0.0718055i | ||||
\(254\) | 11.7284 | + | 3.14262i | 0.735905 | + | 0.197185i | ||||
\(255\) | −20.5625 | + | 9.47319i | −1.28767 | + | 0.593234i | ||||
\(256\) | 8.50000 | − | 14.7224i | 0.531250 | − | 0.920152i | ||||
\(257\) | 6.58579 | + | 11.4069i | 0.410810 | + | 0.711544i | 0.994979 | − | 0.100089i | \(-0.0319126\pi\) |
−0.584168 | + | 0.811632i | \(0.698579\pi\) | |||||||
\(258\) | 6.00000 | − | 8.48528i | 0.373544 | − | 0.528271i | ||||
\(259\) | −10.3923 | + | 2.00000i | −0.645746 | + | 0.124274i | ||||
\(260\) | −2.41421 | − | 12.0711i | −0.149723 | − | 0.748616i | ||||
\(261\) | −1.94949 | + | 2.28024i | −0.120670 | + | 0.141143i | ||||
\(262\) | 1.85614 | + | 6.92721i | 0.114673 | + | 0.427964i | ||||
\(263\) | −3.04384 | − | 1.75736i | −0.187691 | − | 0.108363i | 0.403210 | − | 0.915107i | \(-0.367894\pi\) |
−0.590901 | + | 0.806744i | \(0.701228\pi\) | |||||||
\(264\) | −0.685580 | + | 0.569900i | −0.0421945 | + | 0.0350749i | ||||
\(265\) | −6.41421 | + | 6.41421i | −0.394022 | + | 0.394022i | ||||
\(266\) | 12.2892 | + | 0.882328i | 0.753502 | + | 0.0540990i | ||||
\(267\) | −4.48528 | + | 6.34315i | −0.274495 | + | 0.388194i | ||||
\(268\) | −0.902057 | + | 3.36652i | −0.0551019 | + | 0.205643i | ||||
\(269\) | 6.06218 | + | 3.50000i | 0.369618 | + | 0.213399i | 0.673291 | − | 0.739377i | \(-0.264880\pi\) |
−0.303674 | + | 0.952776i | \(0.598213\pi\) | |||||||
\(270\) | −17.7391 | − | 0.245585i | −1.07957 | − | 0.0149458i | ||||
\(271\) | 2.54378 | − | 9.49353i | 0.154524 | − | 0.576691i | −0.844622 | − | 0.535363i | \(-0.820175\pi\) |
0.999146 | − | 0.0413275i | \(-0.0131587\pi\) | |||||||
\(272\) | −3.82843 | −0.232132 | ||||||||
\(273\) | 7.77249 | − | 14.5804i | 0.470412 | − | 0.882447i | ||||
\(274\) | −8.58579 | −0.518686 | ||||||||
\(275\) | 0.295606 | − | 1.10322i | 0.0178257 | − | 0.0665266i | ||||
\(276\) | 15.2966 | + | 5.64759i | 0.920749 | + | 0.339945i | ||||
\(277\) | −1.58346 | − | 0.914214i | −0.0951412 | − | 0.0549298i | 0.451675 | − | 0.892183i | \(-0.350827\pi\) |
−0.546816 | + | 0.837253i | \(0.684160\pi\) | |||||||
\(278\) | −4.41832 | + | 16.4894i | −0.264993 | + | 0.988968i | ||||
\(279\) | 6.24264 | − | 13.0711i | 0.373737 | − | 0.782544i | ||||
\(280\) | −15.1956 | + | 22.4383i | −0.908112 | + | 1.34094i | ||||
\(281\) | 6.07107 | − | 6.07107i | 0.362170 | − | 0.362170i | −0.502442 | − | 0.864611i | \(-0.667565\pi\) |
0.864611 | + | 0.502442i | \(0.167565\pi\) | |||||||
\(282\) | −11.7993 | − | 14.1944i | −0.702640 | − | 0.845265i | ||||
\(283\) | 18.8785 | + | 10.8995i | 1.12221 | + | 0.647908i | 0.941964 | − | 0.335714i | \(-0.108978\pi\) |
0.180245 | + | 0.983622i | \(0.442311\pi\) | |||||||
\(284\) | 2.75820 | + | 10.2937i | 0.163669 | + | 0.610821i | ||||
\(285\) | 17.6040 | + | 21.1774i | 1.04277 | + | 1.25444i | ||||
\(286\) | −0.343146 | + | 0.514719i | −0.0202906 | + | 0.0304360i | ||||
\(287\) | −4.89898 | + | 14.1421i | −0.289178 | + | 0.834784i | ||||
\(288\) | 13.5355 | + | 6.46447i | 0.797589 | + | 0.380922i | ||||
\(289\) | 1.17157 | + | 2.02922i | 0.0689161 | + | 0.119366i | ||||
\(290\) | 1.70711 | − | 2.95680i | 0.100245 | − | 0.173629i | ||||
\(291\) | 7.17461 | + | 15.5732i | 0.420583 | + | 0.912918i | ||||
\(292\) | −6.92721 | − | 1.85614i | −0.405384 | − | 0.108622i | ||||
\(293\) | 19.1421 | − | 19.1421i | 1.11830 | − | 1.11830i | 0.126304 | − | 0.991992i | \(-0.459689\pi\) |
0.991992 | − | 0.126304i | \(-0.0403115\pi\) | |||||||
\(294\) | −11.6237 | + | 3.44805i | −0.677909 | + | 0.201094i | ||||
\(295\) | 25.5563 | 1.48795 | ||||||||
\(296\) | −6.00000 | − | 10.3923i | −0.348743 | − | 0.604040i | ||||
\(297\) | −0.621612 | − | 0.639065i | −0.0360696 | − | 0.0370823i | ||||
\(298\) | −2.15232 | − | 1.24264i | −0.124680 | − | 0.0719842i | ||||
\(299\) | 33.8731 | + | 2.18458i | 1.95893 | + | 0.126337i | ||||
\(300\) | −11.3640 | + | 1.94975i | −0.656099 | + | 0.112569i | ||||
\(301\) | 14.2808 | − | 6.93237i | 0.823134 | − | 0.399575i | ||||
\(302\) | 14.1716i | 0.815482i | ||||||||
\(303\) | −4.42883 | − | 5.32780i | −0.254429 | − | 0.306074i | ||||
\(304\) | 1.20528 | + | 4.49818i | 0.0691277 | + | 0.257988i | ||||
\(305\) | 3.29788 | − | 0.883663i | 0.188836 | − | 0.0505984i | ||||
\(306\) | −0.895373 | − | 11.4503i | −0.0511851 | − | 0.654572i | ||||
\(307\) | −3.53553 | − | 3.53553i | −0.201784 | − | 0.201784i | 0.598980 | − | 0.800764i | \(-0.295573\pi\) |
−0.800764 | + | 0.598980i | \(0.795573\pi\) | |||||||
\(308\) | −0.445759 | + | 0.0857864i | −0.0253995 | + | 0.00488814i | ||||
\(309\) | 3.07107 | + | 17.8995i | 0.174707 | + | 1.01827i | ||||
\(310\) | −4.26670 | + | 15.9236i | −0.242333 | + | 0.904397i | ||||
\(311\) | −15.0711 | + | 26.1039i | −0.854602 | + | 1.48021i | 0.0224120 | + | 0.999749i | \(0.492865\pi\) |
−0.877014 | + | 0.480465i | \(0.840468\pi\) | |||||||
\(312\) | 18.5067 | + | 2.91609i | 1.04773 | + | 0.165091i | ||||
\(313\) | −6.17157 | − | 10.6895i | −0.348838 | − | 0.604205i | 0.637205 | − | 0.770694i | \(-0.280090\pi\) |
−0.986043 | + | 0.166489i | \(0.946757\pi\) | |||||||
\(314\) | −2.70711 | − | 2.70711i | −0.152771 | − | 0.152771i | ||||
\(315\) | −23.5546 | − | 13.4001i | −1.32715 | − | 0.755011i | ||||
\(316\) | 1.41421i | 0.0795557i | ||||||||
\(317\) | 8.04178 | − | 30.0123i | 0.451672 | − | 1.68566i | −0.246021 | − | 0.969264i | \(-0.579123\pi\) |
0.697693 | − | 0.716397i | \(-0.254210\pi\) | |||||||
\(318\) | −1.92554 | − | 4.17958i | −0.107979 | − | 0.234379i | ||||
\(319\) | 0.165727 | − | 0.0444063i | 0.00927891 | − | 0.00248628i | ||||
\(320\) | −23.0851 | − | 6.18564i | −1.29050 | − | 0.345788i | ||||
\(321\) | 0.343146 | + | 2.00000i | 0.0191525 | + | 0.111629i | ||||
\(322\) | −16.3059 | − | 18.8284i | −0.908692 | − | 1.04927i | ||||
\(323\) | −12.6066 | + | 12.6066i | −0.701450 | + | 0.701450i | ||||
\(324\) | −3.23375 | + | 8.39898i | −0.179653 | + | 0.466610i | ||||
\(325\) | −21.5153 | + | 10.6382i | −1.19345 | + | 0.590099i | ||||
\(326\) | −6.77962 | − | 3.91421i | −0.375488 | − | 0.216788i | ||||
\(327\) | 7.90931 | + | 0.728767i | 0.437386 | + | 0.0403009i | ||||
\(328\) | −16.9706 | −0.937043 | ||||||||
\(329\) | −5.32843 | − | 27.6873i | −0.293766 | − | 1.52645i | ||||
\(330\) | 0.828427 | + | 0.585786i | 0.0456034 | + | 0.0322465i | ||||
\(331\) | 26.5203 | + | 7.10610i | 1.45769 | + | 0.390586i | 0.898691 | − | 0.438583i | \(-0.144520\pi\) |
0.558997 | + | 0.829169i | \(0.311186\pi\) | |||||||
\(332\) | −4.05229 | − | 15.1234i | −0.222398 | − | 0.830002i | ||||
\(333\) | 9.89293 | − | 6.79191i | 0.542129 | − | 0.372194i | ||||
\(334\) | 5.98528 | + | 10.3668i | 0.327500 | + | 0.567247i | ||||
\(335\) | 11.8995 | 0.650139 | ||||||||
\(336\) | −2.66951 | − | 3.72474i | −0.145634 | − | 0.203201i | ||||
\(337\) | 11.1421i | 0.606951i | 0.952839 | + | 0.303475i | \(0.0981470\pi\) | ||||
−0.952839 | + | 0.303475i | \(0.901853\pi\) | |||||||
\(338\) | 12.8852 | − | 1.72380i | 0.700863 | − | 0.0937624i | ||||
\(339\) | −14.6236 | − | 5.39910i | −0.794245 | − | 0.293239i | ||||
\(340\) | −3.38304 | − | 12.6257i | −0.183471 | − | 0.684724i | ||||
\(341\) | −0.717439 | + | 0.414214i | −0.0388515 | + | 0.0224309i | ||||
\(342\) | −13.1716 | + | 4.65685i | −0.712237 | + | 0.251814i | ||||
\(343\) | −18.0938 | − | 3.95164i | −0.976972 | − | 0.213368i | ||||
\(344\) | 12.7279 | + | 12.7279i | 0.686244 | + | 0.686244i | ||||
\(345\) | 5.10798 | − | 55.4370i | 0.275005 | − | 2.98463i | ||||
\(346\) | −1.43467 | + | 0.384419i | −0.0771284 | + | 0.0206665i | ||||
\(347\) | −23.6544 | − | 13.6569i | −1.26983 | − | 0.733138i | −0.294877 | − | 0.955535i | \(-0.595279\pi\) |
−0.974956 | + | 0.222397i | \(0.928612\pi\) | |||||||
\(348\) | −1.10721 | − | 1.33195i | −0.0593525 | − | 0.0714001i | ||||
\(349\) | 3.00000 | + | 3.00000i | 0.160586 | + | 0.160586i | 0.782826 | − | 0.622240i | \(-0.213777\pi\) |
−0.622240 | + | 0.782826i | \(0.713777\pi\) | |||||||
\(350\) | 16.6421 | + | 5.76500i | 0.889560 | + | 0.308152i | ||||
\(351\) | −1.46447 | + | 18.6777i | −0.0781674 | + | 0.996940i | ||||
\(352\) | −0.428932 | − | 0.742932i | −0.0228622 | − | 0.0395984i | ||||
\(353\) | −12.3913 | + | 3.32024i | −0.659523 | + | 0.176719i | −0.573031 | − | 0.819534i | \(-0.694232\pi\) |
−0.0864922 | + | 0.996253i | \(0.527566\pi\) | |||||||
\(354\) | −4.49042 | + | 12.1624i | −0.238663 | + | 0.646425i | ||||
\(355\) | 31.5101 | − | 18.1924i | 1.67238 | − | 0.965552i | ||||
\(356\) | −3.17157 | − | 3.17157i | −0.168093 | − | 0.168093i | ||||
\(357\) | 7.23944 | − | 15.9808i | 0.383152 | − | 0.845791i | ||||
\(358\) | 13.0711 | + | 13.0711i | 0.690827 | + | 0.690827i | ||||
\(359\) | 5.32681 | + | 1.42731i | 0.281138 | + | 0.0753308i | 0.396633 | − | 0.917977i | \(-0.370179\pi\) |
−0.115495 | + | 0.993308i | \(0.536845\pi\) | |||||||
\(360\) | 5.61489 | − | 30.2106i | 0.295931 | − | 1.59224i | ||||
\(361\) | 2.32640 | + | 1.34315i | 0.122442 | + | 0.0706919i | ||||
\(362\) | 18.4899 | + | 4.95435i | 0.971807 | + | 0.260395i | ||||
\(363\) | −3.21320 | − | 18.7279i | −0.168649 | − | 0.982961i | ||||
\(364\) | 7.53794 | + | 5.84632i | 0.395095 | + | 0.306431i | ||||
\(365\) | 24.4853i | 1.28162i | ||||||||
\(366\) | −0.158919 | + | 1.72474i | −0.00830681 | + | 0.0901539i | ||||
\(367\) | 11.1924 | − | 19.3858i | 0.584238 | − | 1.01193i | −0.410732 | − | 0.911756i | \(-0.634727\pi\) |
0.994970 | − | 0.100174i | \(-0.0319398\pi\) | |||||||
\(368\) | 4.70711 | − | 8.15295i | 0.245375 | − | 0.425002i | ||||
\(369\) | −1.32300 | − | 16.9189i | −0.0688725 | − | 0.880764i | ||||
\(370\) | −9.65685 | + | 9.65685i | −0.502036 | + | 0.502036i | ||||
\(371\) | 0.503391 | − | 7.01133i | 0.0261347 | − | 0.364010i | ||||
\(372\) | 6.82843 | + | 4.82843i | 0.354037 | + | 0.250342i | ||||
\(373\) | 8.39949 | + | 14.5484i | 0.434909 | + | 0.753285i | 0.997288 | − | 0.0735946i | \(-0.0234471\pi\) |
−0.562379 | + | 0.826880i | \(0.690114\pi\) | |||||||
\(374\) | −0.328427 | + | 0.568852i | −0.0169826 | + | 0.0294147i | ||||
\(375\) | 4.09978 | + | 8.89898i | 0.211712 | + | 0.459541i | ||||
\(376\) | 27.6873 | − | 15.9853i | 1.42786 | − | 0.824378i | ||||
\(377\) | −3.00000 | − | 2.00000i | −0.154508 | − | 0.103005i | ||||
\(378\) | 10.5159 | − | 8.85528i | 0.540879 | − | 0.455466i | ||||
\(379\) | −15.0711 | + | 15.0711i | −0.774149 | + | 0.774149i | −0.978829 | − | 0.204680i | \(-0.934385\pi\) |
0.204680 | + | 0.978829i | \(0.434385\pi\) | |||||||
\(380\) | −13.7694 | + | 7.94975i | −0.706354 | + | 0.407813i | ||||
\(381\) | −19.7291 | − | 7.28407i | −1.01075 | − | 0.373174i | ||||
\(382\) | −4.39230 | − | 16.3923i | −0.224730 | − | 0.838703i | ||||
\(383\) | 3.32024 | − | 12.3913i | 0.169656 | − | 0.633166i | −0.827744 | − | 0.561106i | \(-0.810376\pi\) |
0.997400 | − | 0.0720602i | \(-0.0229574\pi\) | |||||||
\(384\) | −3.00000 | + | 4.24264i | −0.153093 | + | 0.216506i | ||||
\(385\) | 0.676814 | + | 1.39425i | 0.0344937 | + | 0.0710577i | ||||
\(386\) | 2.82843i | 0.143963i | ||||||||
\(387\) | −11.6969 | + | 13.6814i | −0.594589 | + | 0.695466i | ||||
\(388\) | −9.56218 | + | 2.56218i | −0.485446 | + | 0.130075i | ||||
\(389\) | −10.3284 | + | 17.8894i | −0.523672 | + | 0.907027i | 0.475948 | + | 0.879473i | \(0.342105\pi\) |
−0.999620 | + | 0.0275533i | \(0.991228\pi\) | |||||||
\(390\) | −2.24558 | − | 21.2032i | −0.113710 | − | 1.07366i | ||||
\(391\) | 36.0416 | 1.82270 | ||||||||
\(392\) | −2.48168 | − | 20.8528i | −0.125344 | − | 1.05323i | ||||
\(393\) | −2.10051 | − | 12.2426i | −0.105956 | − | 0.617560i | ||||
\(394\) | 6.12372 | − | 3.53553i | 0.308509 | − | 0.178118i | ||||
\(395\) | 4.66390 | − | 1.24969i | 0.234666 | − | 0.0628787i | ||||
\(396\) | 0.424339 | − | 0.291327i | 0.0213239 | − | 0.0146397i | ||||
\(397\) | 0.0367874 | − | 0.137292i | 0.00184631 | − | 0.00689051i | −0.964997 | − | 0.262263i | \(-0.915531\pi\) |
0.966843 | + | 0.255372i | \(0.0821980\pi\) | |||||||
\(398\) | −0.656854 | + | 0.656854i | −0.0329251 | + | 0.0329251i | ||||
\(399\) | −21.0556 | − | 3.47478i | −1.05410 | − | 0.173957i | ||||
\(400\) | 6.65685i | 0.332843i | ||||||||
\(401\) | 3.62933 | + | 0.972476i | 0.181240 | + | 0.0485631i | 0.348298 | − | 0.937384i | \(-0.386760\pi\) |
−0.167057 | + | 0.985947i | \(0.553427\pi\) | |||||||
\(402\) | −2.09082 | + | 5.66304i | −0.104281 | + | 0.282447i | ||||
\(403\) | 16.4911 | + | 5.57874i | 0.821479 | + | 0.277897i | ||||
\(404\) | 3.46410 | − | 2.00000i | 0.172345 | − | 0.0995037i | ||||
\(405\) | 30.5563 | + | 3.24264i | 1.51836 | + | 0.161128i | ||||
\(406\) | 0.500000 | + | 2.59808i | 0.0248146 | + | 0.128940i | ||||
\(407\) | −0.686292 | −0.0340182 | ||||||||
\(408\) | 19.8092 | + | 1.82523i | 0.980701 | + | 0.0903621i | ||||
\(409\) | −0.329238 | − | 1.22873i | −0.0162798 | − | 0.0607569i | 0.957308 | − | 0.289069i | \(-0.0933459\pi\) |
−0.973588 | + | 0.228313i | \(0.926679\pi\) | |||||||
\(410\) | 4.99876 | + | 18.6556i | 0.246871 | + | 0.921335i | ||||
\(411\) | 14.8083 | + | 1.36444i | 0.730439 | + | 0.0673029i | ||||
\(412\) | −10.4853 | −0.516573 | ||||||||
\(413\) | −14.9706 | + | 12.9649i | −0.736653 | + | 0.637960i | ||||
\(414\) | 25.4853 | + | 12.1716i | 1.25253 | + | 0.598200i | ||||
\(415\) | −46.2941 | + | 26.7279i | −2.27249 | + | 1.31202i | ||||
\(416\) | −5.77697 | + | 17.0771i | −0.283239 | + | 0.837273i | ||||
\(417\) | 10.2409 | − | 27.7378i | 0.501501 | − | 1.35833i | ||||
\(418\) | 0.771765 | + | 0.206794i | 0.0377483 | + | 0.0101146i | ||||
\(419\) | 31.0711i | 1.51792i | 0.651137 | + | 0.758960i | \(0.274292\pi\) | ||||
−0.651137 | + | 0.758960i | \(0.725708\pi\) | |||||||
\(420\) | 9.92480 | − | 12.0951i | 0.484281 | − | 0.590182i | ||||
\(421\) | 3.07107 | − | 3.07107i | 0.149675 | − | 0.149675i | −0.628298 | − | 0.777973i | \(-0.716248\pi\) |
0.777973 | + | 0.628298i | \(0.216248\pi\) | |||||||
\(422\) | 0.240425 | − | 0.897280i | 0.0117037 | − | 0.0436789i | ||||
\(423\) | 18.0951 | + | 26.3569i | 0.879813 | + | 1.28151i | ||||
\(424\) | 7.69897 | − | 2.06293i | 0.373895 | − | 0.100185i | ||||
\(425\) | −22.0709 | + | 12.7426i | −1.07060 | + | 0.618109i | ||||
\(426\) | 3.12132 | + | 18.1924i | 0.151228 | + | 0.881424i | ||||
\(427\) | −1.48356 | + | 2.19067i | −0.0717947 | + | 0.106014i | ||||
\(428\) | −1.17157 | −0.0566301 | ||||||||
\(429\) | 0.673637 | − | 0.833226i | 0.0325235 | − | 0.0402285i | ||||
\(430\) | 10.2426 | − | 17.7408i | 0.493944 | − | 0.855536i | ||||
\(431\) | 20.1187 | − | 5.39079i | 0.969084 | − | 0.259665i | 0.260643 | − | 0.965435i | \(-0.416065\pi\) |
0.708441 | + | 0.705770i | \(0.249399\pi\) | |||||||
\(432\) | 4.46360 | + | 2.66012i | 0.214755 | + | 0.127985i | ||||
\(433\) | 23.1421i | 1.11214i | 0.831135 | + | 0.556070i | \(0.187691\pi\) | ||||
−0.831135 | + | 0.556070i | \(0.812309\pi\) | |||||||
\(434\) | −5.57874 | − | 11.4923i | −0.267788 | − | 0.551649i | ||||
\(435\) | −3.41421 | + | 4.82843i | −0.163699 | + | 0.231505i | ||||
\(436\) | −1.18689 | + | 4.42953i | −0.0568417 | + | 0.212136i | ||||
\(437\) | −11.3468 | − | 42.3468i | −0.542790 | − | 2.02572i | ||||
\(438\) | −11.6527 | − | 4.30223i | −0.556787 | − | 0.205568i | ||||
\(439\) | −3.34101 | + | 1.92893i | −0.159458 | + | 0.0920629i | −0.577605 | − | 0.816316i | \(-0.696013\pi\) |
0.418148 | + | 0.908379i | \(0.362679\pi\) | |||||||
\(440\) | −1.24264 | + | 1.24264i | −0.0592406 | + | 0.0592406i | ||||
\(441\) | 20.5959 | − | 4.09978i | 0.980758 | − | 0.195227i | ||||
\(442\) | 13.5355 | − | 2.70711i | 0.643820 | − | 0.128764i | ||||
\(443\) | −26.6112 | + | 15.3640i | −1.26433 | + | 0.729964i | −0.973910 | − | 0.226934i | \(-0.927130\pi\) |
−0.290424 | + | 0.956898i | \(0.593796\pi\) | |||||||
\(444\) | 2.89898 | + | 6.29253i | 0.137579 | + | 0.298630i | ||||
\(445\) | −7.65685 | + | 13.2621i | −0.362970 | + | 0.628682i | ||||
\(446\) | 2.50000 | + | 4.33013i | 0.118378 | + | 0.205037i | ||||
\(447\) | 3.51472 | + | 2.48528i | 0.166240 | + | 0.117550i | ||||
\(448\) | 16.6610 | − | 8.08776i | 0.787157 | − | 0.382111i | ||||
\(449\) | −2.00000 | + | 2.00000i | −0.0943858 | + | 0.0943858i | −0.752723 | − | 0.658337i | \(-0.771260\pi\) |
0.658337 | + | 0.752723i | \(0.271260\pi\) | |||||||
\(450\) | −19.9098 | + | 1.55687i | −0.938556 | + | 0.0733916i | ||||
\(451\) | −0.485281 | + | 0.840532i | −0.0228510 | + | 0.0395791i | ||||
\(452\) | 4.50000 | − | 7.79423i | 0.211662 | − | 0.366610i | ||||
\(453\) | 2.25213 | − | 24.4423i | 0.105814 | − | 1.14840i | ||||
\(454\) | − | 6.00000i | − | 0.281594i | ||||||
\(455\) | 12.6195 | − | 30.0254i | 0.591609 | − | 1.40761i | ||||
\(456\) | −4.09188 | − | 23.8492i | −0.191620 | − | 1.11684i | ||||
\(457\) | −34.3448 | − | 9.20266i | −1.60658 | − | 0.430482i | −0.659560 | − | 0.751652i | \(-0.729257\pi\) |
−0.947022 | + | 0.321170i | \(0.895924\pi\) | |||||||
\(458\) | 19.4728 | + | 11.2426i | 0.909905 | + | 0.525334i | ||||
\(459\) | −0.275379 | + | 19.8912i | −0.0128536 | + | 0.928441i | ||||
\(460\) | 31.0469 | + | 8.31900i | 1.44757 | + | 0.387875i | ||||
\(461\) | −13.9289 | − | 13.9289i | −0.648735 | − | 0.648735i | 0.303952 | − | 0.952687i | \(-0.401694\pi\) |
−0.952687 | + | 0.303952i | \(0.901694\pi\) | |||||||
\(462\) | −0.782454 | + | 0.0771202i | −0.0364031 | + | 0.00358796i | ||||
\(463\) | 4.00000 | + | 4.00000i | 0.185896 | + | 0.185896i | 0.793919 | − | 0.608023i | \(-0.208037\pi\) |
−0.608023 | + | 0.793919i | \(0.708037\pi\) | |||||||
\(464\) | −0.866025 | + | 0.500000i | −0.0402042 | + | 0.0232119i | ||||
\(465\) | 9.88953 | − | 26.7860i | 0.458616 | − | 1.24217i | ||||
\(466\) | 12.2256 | − | 3.27583i | 0.566339 | − | 0.151750i | ||||
\(467\) | −5.48528 | − | 9.50079i | −0.253829 | − | 0.439644i | 0.710748 | − | 0.703447i | \(-0.248357\pi\) |
−0.964577 | + | 0.263803i | \(0.915023\pi\) | |||||||
\(468\) | −10.4853 | − | 2.65685i | −0.484682 | − | 0.122813i | ||||
\(469\) | −6.97056 | + | 6.03668i | −0.321871 | + | 0.278748i | ||||
\(470\) | −25.7279 | − | 25.7279i | −1.18674 | − | 1.18674i | ||||
\(471\) | 4.23886 | + | 5.09928i | 0.195316 | + | 0.234962i | ||||
\(472\) | −19.4473 | − | 11.2279i | −0.895136 | − | 0.516807i | ||||
\(473\) | 0.994360 | − | 0.266438i | 0.0457207 | − | 0.0122508i | ||||
\(474\) | −0.224745 | + | 2.43916i | −0.0103229 | + | 0.112034i | ||||
\(475\) | 21.9203 | + | 21.9203i | 1.00577 | + | 1.00577i | ||||
\(476\) | 8.38682 | + | 5.67972i | 0.384409 | + | 0.260329i | ||||
\(477\) | 2.65685 | + | 7.51472i | 0.121649 | + | 0.344075i | ||||
\(478\) | 14.1281 | − | 8.15685i | 0.646204 | − | 0.373086i | ||||
\(479\) | −3.23905 | − | 12.0883i | −0.147996 | − | 0.552328i | −0.999604 | − | 0.0281487i | \(-0.991039\pi\) |
0.851608 | − | 0.524179i | \(-0.175628\pi\) | |||||||
\(480\) | 27.7378 | + | 10.2409i | 1.26605 | + | 0.467433i | ||||
\(481\) | 9.52056 | + | 10.8332i | 0.434100 | + | 0.493953i | ||||
\(482\) | − | 13.7574i | − | 0.626631i | ||||||
\(483\) | 25.1313 | + | 35.0655i | 1.14351 | + | 1.59554i | ||||
\(484\) | 10.9706 | 0.498662 | ||||||||
\(485\) | 16.8995 | + | 29.2708i | 0.767367 | + | 1.32912i | ||||
\(486\) | −6.91215 | + | 13.9722i | −0.313541 | + | 0.633792i | ||||
\(487\) | −5.34639 | − | 19.9530i | −0.242268 | − | 0.904156i | −0.974737 | − | 0.223356i | \(-0.928299\pi\) |
0.732469 | − | 0.680800i | \(-0.238368\pi\) | |||||||
\(488\) | −2.89778 | − | 0.776457i | −0.131176 | − | 0.0351486i | ||||
\(489\) | 11.0711 | + | 7.82843i | 0.500651 | + | 0.354014i | ||||
\(490\) | −22.1924 | + | 8.87039i | −1.00255 | + | 0.400723i | ||||
\(491\) | −33.2132 | −1.49889 | −0.749445 | − | 0.662066i | \(-0.769680\pi\) | ||||
−0.749445 | + | 0.662066i | \(0.769680\pi\) | |||||||
\(492\) | 9.75663 | + | 0.898979i | 0.439863 | + | 0.0405291i | ||||
\(493\) | −3.31552 | − | 1.91421i | −0.149323 | − | 0.0862118i | ||||
\(494\) | −7.44201 | − | 15.0512i | −0.334832 | − | 0.677185i | ||||
\(495\) | −1.33573 | − | 1.14198i | −0.0600367 | − | 0.0513284i | ||||
\(496\) | 3.41421 | − | 3.41421i | 0.153303 | − | 0.153303i | ||||
\(497\) | −9.22911 | + | 26.6421i | −0.413982 | + | 1.19506i | ||||
\(498\) | −4.58579 | − | 26.7279i | −0.205494 | − | 1.19771i | ||||
\(499\) | −28.6463 | − | 7.67576i | −1.28239 | − | 0.343614i | −0.447622 | − | 0.894223i | \(-0.647729\pi\) |
−0.834763 | + | 0.550609i | \(0.814396\pi\) | |||||||
\(500\) | −5.46410 | + | 1.46410i | −0.244362 | + | 0.0654766i | ||||
\(501\) | −8.67560 | − | 18.8313i | −0.387597 | − | 0.841319i | ||||
\(502\) | 0.517638 | − | 1.93185i | 0.0231033 | − | 0.0862228i | ||||
\(503\) | − | 1.07107i | − | 0.0477566i | −0.999715 | − | 0.0238783i | \(-0.992399\pi\) | ||
0.999715 | − | 0.0238783i | \(-0.00760141\pi\) | |||||||
\(504\) | 12.0369 | + | 20.5454i | 0.536165 | + | 0.915165i | ||||
\(505\) | −9.65685 | − | 9.65685i | −0.429724 | − | 0.429724i | ||||
\(506\) | −0.807612 | − | 1.39882i | −0.0359027 | − | 0.0621853i | ||||
\(507\) | −22.4976 | + | 0.925417i | −0.999155 | + | 0.0410992i | ||||
\(508\) | 6.07107 | − | 10.5154i | 0.269360 | − | 0.466545i | ||||
\(509\) | −0.329238 | + | 1.22873i | −0.0145932 | + | 0.0544626i | −0.972839 | − | 0.231485i | \(-0.925642\pi\) |
0.958245 | + | 0.285947i | \(0.0923083\pi\) | |||||||
\(510\) | −3.82843 | − | 22.3137i | −0.169526 | − | 0.988068i | ||||
\(511\) | −12.4215 | − | 14.3431i | −0.549496 | − | 0.634503i | ||||
\(512\) | 7.77817 | + | 7.77817i | 0.343750 | + | 0.343750i | ||||
\(513\) | 23.4577 | − | 5.93868i | 1.03568 | − | 0.262199i | ||||
\(514\) | −12.7228 | + | 3.40905i | −0.561177 | + | 0.150367i | ||||
\(515\) | 9.26546 | + | 34.5792i | 0.408285 | + | 1.52374i | ||||
\(516\) | −6.64324 | − | 7.99171i | −0.292452 | − | 0.351815i | ||||
\(517\) | − | 1.82843i | − | 0.0804141i | ||||||
\(518\) | 0.757875 | − | 10.5558i | 0.0332991 | − | 0.463797i | ||||
\(519\) | 2.53553 | − | 0.435029i | 0.111298 | − | 0.0190956i | ||||
\(520\) | 36.8538 | + | 2.37681i | 1.61615 | + | 0.104230i | ||||
\(521\) | 39.3659 | + | 22.7279i | 1.72465 | + | 0.995728i | 0.908492 | + | 0.417903i | \(0.137235\pi\) |
0.816160 | + | 0.577825i | \(0.196099\pi\) | |||||||
\(522\) | −1.69798 | − | 2.47323i | −0.0743184 | − | 0.108250i | ||||
\(523\) | −13.2426 | − | 22.9369i | −0.579060 | − | 1.00296i | −0.995587 | − | 0.0938385i | \(-0.970086\pi\) |
0.416527 | − | 0.909123i | \(-0.363247\pi\) | |||||||
\(524\) | 7.17157 | 0.313292 | ||||||||
\(525\) | −27.7873 | − | 12.5879i | −1.21274 | − | 0.549381i | ||||
\(526\) | 2.48528 | − | 2.48528i | 0.108363 | − | 0.108363i | ||||
\(527\) | 17.8554 | + | 4.78434i | 0.777794 | + | 0.208409i | ||||
\(528\) | −0.124347 | − | 0.269907i | −0.00541149 | − | 0.0117462i | ||||
\(529\) | −32.8137 | + | 56.8350i | −1.42668 | + | 2.47109i | ||||
\(530\) | −4.53553 | − | 7.85578i | −0.197011 | − | 0.341233i | ||||
\(531\) | 9.67767 | − | 20.2635i | 0.419975 | − | 0.879359i | ||||
\(532\) | 4.03295 | − | 11.6421i | 0.174851 | − | 0.504751i | ||||
\(533\) | 20.0000 | − | 4.00000i | 0.866296 | − | 0.173259i | ||||
\(534\) | −4.96613 | − | 5.97418i | −0.214906 | − | 0.258528i | ||||
\(535\) | 1.03528 | + | 3.86370i | 0.0447589 | + | 0.167042i | ||||
\(536\) | −9.05503 | − | 5.22792i | −0.391118 | − | 0.225812i | ||||
\(537\) | −20.4670 | − | 24.6215i | −0.883217 | − | 1.06250i | ||||
\(538\) | −4.94975 | + | 4.94975i | −0.213399 | + | 0.213399i | ||||
\(539\) | −1.10378 | − | 0.473383i | −0.0475432 | − | 0.0203900i | ||||
\(540\) | −4.82843 | + | 17.0711i | −0.207782 | + | 0.734622i | ||||
\(541\) | −7.90095 | + | 29.4867i | −0.339688 | + | 1.26773i | 0.559008 | + | 0.829162i | \(0.311182\pi\) |
−0.898696 | + | 0.438571i | \(0.855485\pi\) | |||||||
\(542\) | 8.51167 | + | 4.91421i | 0.365607 | + | 0.211084i | ||||
\(543\) | −31.1030 | − | 11.4834i | −1.33476 | − | 0.492799i | ||||
\(544\) | −4.95435 | + | 18.4899i | −0.212416 | + | 0.792747i | ||||
\(545\) | 15.6569 | 0.670666 | ||||||||
\(546\) | 12.0719 | + | 11.2813i | 0.516631 | + | 0.482797i | ||||
\(547\) | 0.928932 | 0.0397183 | 0.0198591 | − | 0.999803i | \(-0.493678\pi\) | ||||
0.0198591 | + | 0.999803i | \(0.493678\pi\) | |||||||
\(548\) | −2.22217 | + | 8.29323i | −0.0949262 | + | 0.354269i | ||||
\(549\) | 0.548188 | − | 2.94949i | 0.0233961 | − | 0.125881i | ||||
\(550\) | 0.989118 | + | 0.571068i | 0.0421762 | + | 0.0243504i | ||||
\(551\) | −1.20528 | + | 4.49818i | −0.0513468 | + | 0.191629i | ||||
\(552\) | −28.2426 | + | 39.9411i | −1.20209 | + | 1.70001i | ||||
\(553\) | −2.09808 | + | 3.09808i | −0.0892193 | + | 0.131744i | ||||
\(554\) | 1.29289 | − | 1.29289i | 0.0549298 | − | 0.0549298i | ||||
\(555\) | 18.1903 | − | 15.1210i | 0.772134 | − | 0.641849i | ||||
\(556\) | 14.7840 | + | 8.53553i | 0.626980 | + | 0.361987i | ||||
\(557\) | −1.88215 | − | 7.02429i | −0.0797494 | − | 0.297629i | 0.914519 | − | 0.404543i | \(-0.132570\pi\) |
−0.994268 | + | 0.106915i | \(0.965903\pi\) | |||||||
\(558\) | 11.0100 | + | 9.41297i | 0.466089 | + | 0.398483i | ||||
\(559\) | −18.0000 | − | 12.0000i | −0.761319 | − | 0.507546i | ||||
\(560\) | −5.91359 | − | 6.82843i | −0.249895 | − | 0.288554i | ||||
\(561\) | 0.656854 | − | 0.928932i | 0.0277324 | − | 0.0392195i | ||||
\(562\) | 4.29289 | + | 7.43551i | 0.181085 | + | 0.313648i | ||||
\(563\) | −10.2426 | + | 17.7408i | −0.431676 | + | 0.747684i | −0.997018 | − | 0.0771722i | \(-0.975411\pi\) |
0.565342 | + | 0.824857i | \(0.308744\pi\) | |||||||
\(564\) | −16.7646 | + | 7.72350i | −0.705919 | + | 0.325218i | ||||
\(565\) | −29.6809 | − | 7.95297i | −1.24868 | − | 0.334584i | ||||
\(566\) | −15.4142 | + | 15.4142i | −0.647908 | + | 0.647908i | ||||
\(567\) | −19.5445 | + | 13.6019i | −0.820792 | + | 0.571227i | ||||
\(568\) | −31.9706 | −1.34146 | ||||||||
\(569\) | 13.2574 | + | 22.9624i | 0.555777 | + | 0.962635i | 0.997843 | + | 0.0656518i | \(0.0209127\pi\) |
−0.442065 | + | 0.896983i | \(0.645754\pi\) | |||||||
\(570\) | −25.0120 | + | 11.5231i | −1.04764 | + | 0.482649i | ||||
\(571\) | 29.4809 | + | 17.0208i | 1.23374 | + | 0.712299i | 0.967807 | − | 0.251693i | \(-0.0809874\pi\) |
0.265931 | + | 0.963992i | \(0.414321\pi\) | |||||||
\(572\) | 0.408367 | + | 0.464672i | 0.0170747 | + | 0.0194289i | ||||
\(573\) | 4.97056 | + | 28.9706i | 0.207648 | + | 1.21026i | ||||
\(574\) | −12.3923 | − | 8.39230i | −0.517245 | − | 0.350288i | ||||
\(575\) | − | 62.6690i | − | 2.61348i | ||||||
\(576\) | −13.6464 | + | 15.9617i | −0.568601 | + | 0.665070i | ||||
\(577\) | −7.71255 | − | 28.7836i | −0.321077 | − | 1.19828i | −0.918197 | − | 0.396125i | \(-0.870355\pi\) |
0.597119 | − | 0.802153i | \(-0.296312\pi\) | |||||||
\(578\) | −2.26330 | + | 0.606451i | −0.0941411 | + | 0.0252250i | ||||
\(579\) | 0.449490 | − | 4.87832i | 0.0186802 | − | 0.202736i | ||||
\(580\) | −2.41421 | − | 2.41421i | −0.100245 | − | 0.100245i | ||||
\(581\) | 13.5592 | − | 39.1421i | 0.562532 | − | 1.62389i | ||||
\(582\) | −16.8995 | + | 2.89949i | −0.700507 | + | 0.120188i | ||||
\(583\) | 0.117981 | − | 0.440312i | 0.00488628 | − | 0.0182358i | ||||
\(584\) | 10.7574 | − | 18.6323i | 0.445143 | − | 0.771010i | ||||
\(585\) | 0.503482 | + | 36.9269i | 0.0208164 | + | 1.52674i | ||||
\(586\) | 13.5355 | + | 23.4442i | 0.559148 | + | 0.968472i | ||||
\(587\) | 16.4645 | + | 16.4645i | 0.679561 | + | 0.679561i | 0.959901 | − | 0.280340i | \(-0.0904471\pi\) |
−0.280340 | + | 0.959901i | \(0.590447\pi\) | |||||||
\(588\) | 0.322117 | + | 12.1201i | 0.0132839 | + | 0.499824i | ||||
\(589\) | − | 22.4853i | − | 0.926490i | ||||||
\(590\) | −6.61447 | + | 24.6855i | −0.272313 | + | 1.01629i | ||||
\(591\) | −11.1237 | + | 5.12472i | −0.457569 | + | 0.210803i | ||||
\(592\) | 3.86370 | − | 1.03528i | 0.158797 | − | 0.0425496i | ||||
\(593\) | 36.0825 | + | 9.66827i | 1.48173 | + | 0.397028i | 0.906936 | − | 0.421269i | \(-0.138415\pi\) |
0.574795 | + | 0.818298i | \(0.305082\pi\) | |||||||
\(594\) | 0.778175 | − | 0.435029i | 0.0319289 | − | 0.0178494i | ||||
\(595\) | 11.3199 | − | 32.6777i | 0.464070 | − | 1.33965i | ||||
\(596\) | −1.75736 | + | 1.75736i | −0.0719842 | + | 0.0719842i | ||||
\(597\) | 1.23729 | − | 1.02852i | 0.0506390 | − | 0.0420945i | ||||
\(598\) | −10.8771 | + | 32.1535i | −0.444799 | + | 1.31485i | ||||
\(599\) | −9.46473 | − | 5.46447i | −0.386719 | − | 0.223272i | 0.294019 | − | 0.955800i | \(-0.405007\pi\) |
−0.680737 | + | 0.732528i | \(0.738340\pi\) | |||||||
\(600\) | 3.17369 | − | 34.4441i | 0.129566 | − | 1.40618i | ||||
\(601\) | −11.2843 | −0.460295 | −0.230148 | − | 0.973156i | \(-0.573921\pi\) | ||||
−0.230148 | + | 0.973156i | \(0.573921\pi\) | |||||||
\(602\) | 3.00000 | + | 15.5885i | 0.122271 | + | 0.635338i | ||||
\(603\) | 4.50610 | − | 9.43503i | 0.183502 | − | 0.384224i | ||||
\(604\) | 13.6887 | + | 3.66787i | 0.556985 | + | 0.149244i | ||||
\(605\) | −9.69429 | − | 36.1796i | −0.394129 | − | 1.47091i | ||||
\(606\) | 6.29253 | − | 2.89898i | 0.255617 | − | 0.117763i | ||||
\(607\) | 5.48528 | + | 9.50079i | 0.222641 | + | 0.385625i | 0.955609 | − | 0.294638i | \(-0.0951990\pi\) |
−0.732968 | + | 0.680263i | \(0.761866\pi\) | |||||||
\(608\) | 23.2843 | 0.944302 | ||||||||
\(609\) | −0.449490 | − | 4.56048i | −0.0182142 | − | 0.184800i | ||||
\(610\) | 3.41421i | 0.138237i | ||||||||
\(611\) | −28.8621 | + | 25.3648i | −1.16763 | + | 1.02615i | ||||
\(612\) | −11.2919 | − | 2.09870i | −0.456448 | − | 0.0848349i | ||||
\(613\) | 5.73081 | + | 21.3877i | 0.231465 | + | 0.863839i | 0.979711 | + | 0.200418i | \(0.0642299\pi\) |
−0.748245 | + | 0.663422i | \(0.769103\pi\) | |||||||
\(614\) | 4.33013 | − | 2.50000i | 0.174750 | − | 0.100892i | ||||
\(615\) | −5.65685 | − | 32.9706i | −0.228106 | − | 1.32950i | ||||
\(616\) | 0.0975231 | − | 1.35832i | 0.00392932 | − | 0.0547283i | ||||
\(617\) | 7.07107 | + | 7.07107i | 0.284670 | + | 0.284670i | 0.834968 | − | 0.550298i | \(-0.185486\pi\) |
−0.550298 | + | 0.834968i | \(0.685486\pi\) | |||||||
\(618\) | −18.0844 | − | 1.66631i | −0.727463 | − | 0.0670287i | ||||
\(619\) | 5.32681 | − | 1.42731i | 0.214103 | − | 0.0573686i | −0.150173 | − | 0.988660i | \(-0.547983\pi\) |
0.364276 | + | 0.931291i | \(0.381317\pi\) | |||||||
\(620\) | 14.2767 | + | 8.24264i | 0.573365 | + | 0.331032i | ||||
\(621\) | −42.0213 | − | 25.0429i | −1.68626 | − | 1.00494i | ||||
\(622\) | −21.3137 | − | 21.3137i | −0.854602 | − | 0.854602i | ||||
\(623\) | −2.24264 | − | 11.6531i | −0.0898495 | − | 0.466872i | ||||
\(624\) | −2.53553 | + | 5.70711i | −0.101503 | + | 0.228467i | ||||
\(625\) | −6.98528 | − | 12.0989i | −0.279411 | − | 0.483954i | ||||
\(626\) | 11.9226 | − | 3.19464i | 0.476521 | − | 0.127684i | ||||
\(627\) | −1.29823 | − | 0.479314i | −0.0518465 | − | 0.0191420i | ||||
\(628\) | −3.31552 | + | 1.91421i | −0.132303 | + | 0.0763854i | ||||
\(629\) | 10.8284 | + | 10.8284i | 0.431758 | + | 0.431758i | ||||
\(630\) | 19.0399 | − | 19.2838i | 0.758568 | − | 0.768284i | ||||
\(631\) | −1.07107 | − | 1.07107i | −0.0426385 | − | 0.0426385i | 0.685466 | − | 0.728105i | \(-0.259598\pi\) |
−0.728105 | + | 0.685466i | \(0.759598\pi\) | |||||||
\(632\) | −4.09808 | − | 1.09808i | −0.163013 | − | 0.0436791i | ||||
\(633\) | −0.557267 | + | 1.50937i | −0.0221494 | + | 0.0599921i | ||||
\(634\) | 26.9083 | + | 15.5355i | 1.06867 | + | 0.616995i | ||||
\(635\) | −40.0433 | − | 10.7296i | −1.58907 | − | 0.425790i | ||||
\(636\) | −4.53553 | + | 0.778175i | −0.179846 | + | 0.0308566i | ||||
\(637\) | 7.83975 | + | 23.9904i | 0.310622 | + | 0.950534i | ||||
\(638\) | 0.171573i | 0.00679264i | ||||||||
\(639\) | −2.49237 | − | 31.8733i | −0.0985967 | − | 1.26089i | ||||
\(640\) | −5.12132 | + | 8.87039i | −0.202438 | + | 0.350633i | ||||
\(641\) | 16.1421 | − | 27.9590i | 0.637576 | − | 1.10431i | −0.348387 | − | 0.937351i | \(-0.613271\pi\) |
0.985963 | − | 0.166963i | \(-0.0533961\pi\) | |||||||
\(642\) | −2.02066 | − | 0.186185i | −0.0797493 | − | 0.00734813i | ||||
\(643\) | −27.6777 | + | 27.6777i | −1.09150 | + | 1.09150i | −0.0961322 | + | 0.995369i | \(0.530647\pi\) |
−0.995369 | + | 0.0961322i | \(0.969353\pi\) | |||||||
\(644\) | −22.4071 | + | 10.8771i | −0.882965 | + | 0.428619i | ||||
\(645\) | −20.4853 | + | 28.9706i | −0.806607 | + | 1.14071i | ||||
\(646\) | −8.91421 | − | 15.4399i | −0.350725 | − | 0.607474i | ||||
\(647\) | 17.0919 | − | 29.6040i | 0.671951 | − | 1.16385i | −0.305399 | − | 0.952225i | \(-0.598790\pi\) |
0.977350 | − | 0.211629i | \(-0.0678769\pi\) | |||||||
\(648\) | −21.8275 | − | 15.8921i | −0.857465 | − | 0.624302i | ||||
\(649\) | −1.11221 | + | 0.642136i | −0.0436581 | + | 0.0252060i | ||||
\(650\) | −4.70711 | − | 23.5355i | −0.184628 | − | 0.923140i | ||||
\(651\) | 7.79555 | + | 20.7079i | 0.305532 | + | 0.811607i | ||||
\(652\) | −5.53553 | + | 5.53553i | −0.216788 | + | 0.216788i | ||||
\(653\) | −6.75412 | + | 3.89949i | −0.264309 | + | 0.152599i | −0.626299 | − | 0.779583i | \(-0.715431\pi\) |
0.361989 | + | 0.932182i | \(0.382098\pi\) | |||||||
\(654\) | −2.75102 | + | 7.45119i | −0.107573 | + | 0.291365i | ||||
\(655\) | −6.33726 | − | 23.6510i | −0.247617 | − | 0.924120i | ||||
\(656\) | 1.46410 | − | 5.46410i | 0.0571636 | − | 0.213337i | ||||
\(657\) | 19.4142 | + | 9.27208i | 0.757421 | + | 0.361738i | ||||
\(658\) | 28.1230 | + | 2.01914i | 1.09635 | + | 0.0787143i | ||||
\(659\) | 6.92893i | 0.269913i | 0.990852 | + | 0.134956i | \(0.0430894\pi\) | ||||
−0.990852 | + | 0.134956i | \(0.956911\pi\) | |||||||
\(660\) | 0.780239 | − | 0.648586i | 0.0303708 | − | 0.0252462i | ||||
\(661\) | −37.7800 | + | 10.1231i | −1.46947 | + | 0.393743i | −0.902750 | − | 0.430167i | \(-0.858455\pi\) |
−0.566721 | + | 0.823910i | \(0.691788\pi\) | |||||||
\(662\) | −13.7279 | + | 23.7775i | −0.533551 | + | 0.924137i | ||||
\(663\) | −23.7756 | + | 2.51802i | −0.923366 | + | 0.0977918i | ||||
\(664\) | 46.9706 | 1.82281 | ||||||||
\(665\) | −41.9581 | − | 3.01246i | −1.62707 | − | 0.116818i | ||||
\(666\) | 4.00000 | + | 11.3137i | 0.154997 | + | 0.438397i | ||||
\(667\) | 8.15295 | − | 4.70711i | 0.315683 | − | 0.182260i | ||||
\(668\) | 11.5627 | − | 3.09821i | 0.447373 | − | 0.119873i | ||||
\(669\) | −3.62372 | − | 7.86566i | −0.140101 | − | 0.304104i | ||||
\(670\) | −3.07982 | + | 11.4940i | −0.118984 | + | 0.444053i | ||||
\(671\) | −0.121320 | + | 0.121320i | −0.00468352 | + | 0.00468352i | ||||
\(672\) | −21.4437 | + | 8.07256i | −0.827210 | + | 0.311406i | ||||
\(673\) | 38.1421i | 1.47027i | 0.677920 | + | 0.735136i | \(0.262882\pi\) | ||||
−0.677920 | + | 0.735136i | \(0.737118\pi\) | |||||||
\(674\) | −10.7625 | − | 2.88380i | −0.414555 | − | 0.111080i | ||||
\(675\) | 34.5867 | + | 0.478829i | 1.33124 | + | 0.0184301i | ||||
\(676\) | 1.66987 | − | 12.8923i | 0.0642259 | − | 0.495858i | ||||
\(677\) | 6.90271 | − | 3.98528i | 0.265293 | − | 0.153167i | −0.361454 | − | 0.932390i | \(-0.617719\pi\) |
0.626747 | + | 0.779223i | \(0.284386\pi\) | |||||||
\(678\) | 9.00000 | − | 12.7279i | 0.345643 | − | 0.488813i | ||||
\(679\) | −24.7487 | − | 8.57321i | −0.949769 | − | 0.329010i | ||||
\(680\) | 39.2132 | 1.50376 | ||||||||
\(681\) | −0.953512 | + | 10.3485i | −0.0365386 | + | 0.396554i | ||||
\(682\) | −0.214413 | − | 0.800199i | −0.00821029 | − | 0.0306412i | ||||
\(683\) | −1.62649 | − | 6.07014i | −0.0622359 | − | 0.232267i | 0.927801 | − | 0.373075i | \(-0.121697\pi\) |
−0.990037 | + | 0.140808i | \(0.955030\pi\) | |||||||
\(684\) | 1.08912 | + | 13.9280i | 0.0416436 | + | 0.532552i | ||||
\(685\) | 29.3137 | 1.12002 | ||||||||
\(686\) | 8.50000 | − | 16.4545i | 0.324532 | − | 0.628235i | ||||
\(687\) | −31.7990 | − | 22.4853i | −1.21321 | − | 0.857867i | ||||
\(688\) | −5.19615 | + | 3.00000i | −0.198101 | + | 0.114374i | ||||
\(689\) | −8.58709 | + | 4.24586i | −0.327142 | + | 0.161754i | ||||
\(690\) | 52.2260 | + | 19.2821i | 1.98821 | + | 0.734056i | ||||
\(691\) | −15.2891 | − | 4.09670i | −0.581624 | − | 0.155846i | −0.0440018 | − | 0.999031i | \(-0.514011\pi\) |
−0.537622 | + | 0.843186i | \(0.680677\pi\) | |||||||
\(692\) | 1.48528i | 0.0564619i | ||||||||
\(693\) | 1.36179 | − | 0.00866619i | 0.0517301 | − | 0.000329201i | ||||
\(694\) | 19.3137 | − | 19.3137i | 0.733138 | − | 0.733138i | ||||
\(695\) | 15.0851 | − | 56.2983i | 0.572210 | − | 2.13552i | ||||
\(696\) | 4.71940 | − | 2.17423i | 0.178888 | − | 0.0824142i | ||||
\(697\) | 20.9189 | − | 5.60521i | 0.792360 | − | 0.212312i | ||||
\(698\) | −3.67423 | + | 2.12132i | −0.139072 | + | 0.0802932i | ||||
\(699\) | −21.6066 | + | 3.70711i | −0.817237 | + | 0.140216i | ||||
\(700\) | 9.87587 | − | 14.5830i | 0.373273 | − | 0.551185i | ||||
\(701\) | −20.2843 | −0.766126 | −0.383063 | − | 0.923722i | \(-0.625131\pi\) | ||||
−0.383063 | + | 0.923722i | \(0.625131\pi\) | |||||||
\(702\) | −17.6622 | − | 6.24870i | −0.666617 | − | 0.235842i | ||||
\(703\) | 9.31371 | − | 16.1318i | 0.351273 | − | 0.608423i | ||||
\(704\) | 1.16009 | − | 0.310844i | 0.0437224 | − | 0.0117154i | ||||
\(705\) | 40.2855 | + | 48.4627i | 1.51724 | + | 1.82521i | ||||
\(706\) | − | 12.8284i | − | 0.482804i | ||||||
\(707\) | 10.5558 | + | 0.757875i | 0.396993 | + | 0.0285028i | ||||
\(708\) | 10.5858 | + | 7.48528i | 0.397838 | + | 0.281314i | ||||
\(709\) | 13.1401 | − | 49.0396i | 0.493488 | − | 1.84172i | −0.0448517 | − | 0.998994i | \(-0.514282\pi\) |
0.538340 | − | 0.842728i | \(-0.319052\pi\) | |||||||
\(710\) | 9.41707 | + | 35.1450i | 0.353416 | + | 1.31897i | ||||
\(711\) | 0.775255 | − | 4.17121i | 0.0290743 | − | 0.156433i | ||||
\(712\) | 11.6531 | − | 6.72792i | 0.436718 | − | 0.252140i | ||||
\(713\) | −32.1421 | + | 32.1421i | −1.20373 | + | 1.20373i | ||||
\(714\) | 13.5625 | + | 11.1289i | 0.507564 | + | 0.416488i | ||||
\(715\) | 1.17157 | − | 1.75736i | 0.0438143 | − | 0.0657215i | ||||
\(716\) | 16.0087 | − | 9.24264i | 0.598274 | − | 0.345414i | ||||
\(717\) | −25.6636 | + | 11.8233i | −0.958425 | + | 0.441548i | ||||
\(718\) | −2.75736 | + | 4.77589i | −0.102904 | + | 0.178234i | ||||
\(719\) | 21.9706 | + | 38.0541i | 0.819364 | + | 1.41918i | 0.906152 | + | 0.422953i | \(0.139006\pi\) |
−0.0867880 | + | 0.996227i | \(0.527660\pi\) | |||||||
\(720\) | 9.24264 | + | 4.41421i | 0.344453 | + | 0.164508i | ||||
\(721\) | −22.9698 | − | 15.5556i | −0.855440 | − | 0.579320i | ||||
\(722\) | −1.89949 | + | 1.89949i | −0.0706919 | + | 0.0706919i | ||||
\(723\) | −2.18630 | + | 23.7279i | −0.0813094 | + | 0.882451i | ||||
\(724\) | 9.57107 | − | 16.5776i | 0.355706 | − | 0.616101i | ||||
\(725\) | −3.32843 | + | 5.76500i | −0.123615 | + | 0.214107i | ||||
\(726\) | 18.9214 | + | 1.74343i | 0.702240 | + | 0.0647046i | ||||
\(727\) | − | 5.07107i | − | 0.188075i | −0.995569 | − | 0.0940377i | \(-0.970023\pi\) | ||
0.995569 | − | 0.0940377i | \(-0.0299774\pi\) | |||||||
\(728\) | −22.7942 | + | 17.3038i | −0.844810 | + | 0.641323i | ||||
\(729\) | 14.1421 | − | 23.0000i | 0.523783 | − | 0.851852i | ||||
\(730\) | −23.6510 | − | 6.33726i | −0.875362 | − | 0.234552i | ||||
\(731\) | −19.8931 | − | 11.4853i | −0.735773 | − | 0.424798i | ||||
\(732\) | 1.62484 | + | 0.599900i | 0.0600560 | + | 0.0221730i | ||||
\(733\) | −32.0815 | − | 8.59621i | −1.18496 | − | 0.317508i | −0.388066 | − | 0.921632i | \(-0.626857\pi\) |
−0.796891 | + | 0.604123i | \(0.793523\pi\) | |||||||
\(734\) | 15.8284 | + | 15.8284i | 0.584238 | + | 0.584238i | ||||
\(735\) | 39.6859 | − | 11.7724i | 1.46384 | − | 0.434230i | ||||
\(736\) | −33.2843 | − | 33.2843i | −1.22687 | − | 1.22687i | ||||
\(737\) | −0.517866 | + | 0.298990i | −0.0190758 | + | 0.0110134i | ||||
\(738\) | 16.6848 | + | 3.10102i | 0.614177 | + | 0.114150i | ||||
\(739\) | −13.9917 | + | 3.74907i | −0.514693 | + | 0.137912i | −0.506811 | − | 0.862057i | \(-0.669176\pi\) |
−0.00788243 | + | 0.999969i | \(0.502509\pi\) | |||||||
\(740\) | 6.82843 | + | 11.8272i | 0.251018 | + | 0.434776i | ||||
\(741\) | 10.4437 | + | 27.1421i | 0.383657 | + | 0.997091i | ||||
\(742\) | 6.64214 | + | 2.30090i | 0.243840 | + | 0.0844688i | ||||
\(743\) | 16.6066 | + | 16.6066i | 0.609237 | + | 0.609237i | 0.942747 | − | 0.333510i | \(-0.108233\pi\) |
−0.333510 | + | 0.942747i | \(0.608233\pi\) | |||||||
\(744\) | −19.2937 | + | 16.0382i | −0.707341 | + | 0.587989i | ||||
\(745\) | 7.34847 | + | 4.24264i | 0.269227 | + | 0.155438i | ||||
\(746\) | −16.2266 | + | 4.34790i | −0.594097 | + | 0.159188i | ||||
\(747\) | 3.66175 | + | 46.8276i | 0.133976 | + | 1.71333i | ||||
\(748\) | 0.464466 | + | 0.464466i | 0.0169826 | + | 0.0169826i | ||||
\(749\) | −2.56653 | − | 1.73810i | −0.0937790 | − | 0.0635089i | ||||
\(750\) | −9.65685 | + | 1.65685i | −0.352618 | + | 0.0604998i | ||||
\(751\) | 29.4809 | − | 17.0208i | 1.07577 | − | 0.621098i | 0.146021 | − | 0.989282i | \(-0.453353\pi\) |
0.929753 | + | 0.368183i | \(0.120020\pi\) | |||||||
\(752\) | 2.75820 | + | 10.2937i | 0.100581 | + | 0.375374i | ||||
\(753\) | −1.19980 | + | 3.24969i | −0.0437232 | + | 0.118425i | ||||
\(754\) | 2.70831 | − | 2.38014i | 0.0986308 | − | 0.0866796i | ||||
\(755\) | − | 48.3848i | − | 1.76090i | ||||||
\(756\) | −5.83183 | − | 12.4495i | −0.212101 | − | 0.452784i | ||||
\(757\) | 17.1421 | 0.623042 | 0.311521 | − | 0.950239i | \(-0.399162\pi\) | ||||
0.311521 | + | 0.950239i | \(0.399162\pi\) | |||||||
\(758\) | −10.6569 | − | 18.4582i | −0.387074 | − | 0.670432i | ||||
\(759\) | 1.17063 | + | 2.54096i | 0.0424910 | + | 0.0922310i | ||||
\(760\) | −12.3453 | − | 46.0732i | −0.447810 | − | 1.67125i | ||||
\(761\) | 29.7780 | + | 7.97898i | 1.07945 | + | 0.289238i | 0.754371 | − | 0.656449i | \(-0.227942\pi\) |
0.325080 | + | 0.945687i | \(0.394609\pi\) | |||||||
\(762\) | 12.1421 | − | 17.1716i | 0.439863 | − | 0.622060i | ||||
\(763\) | −9.17157 | + | 7.94282i | −0.332033 | + | 0.287549i | ||||
\(764\) | −16.9706 | −0.613973 | ||||||||
\(765\) | 3.05700 | + | 39.0939i | 0.110526 | + | 1.41344i | ||||
\(766\) | 11.1097 | + | 6.41421i | 0.401411 | + | 0.231755i | ||||
\(767\) | 25.5653 | + | 8.64845i | 0.923111 | + | 0.312278i | ||||
\(768\) | −18.8225 | − | 22.6432i | −0.679199 | − | 0.817065i | ||||
\(769\) | 33.2132 | − | 33.2132i | 1.19770 | − | 1.19770i | 0.222845 | − | 0.974854i | \(-0.428466\pi\) |
0.974854 | − | 0.222845i | \(-0.0715343\pi\) | |||||||
\(770\) | −1.52192 | + | 0.292893i | −0.0548461 | + | 0.0105551i | ||||
\(771\) | 22.4853 | − | 3.85786i | 0.809788 | − | 0.138938i | ||||
\(772\) | 2.73205 | + | 0.732051i | 0.0983287 | + | 0.0263471i | ||||
\(773\) | −20.3933 | + | 5.46437i | −0.733496 | + | 0.196540i | −0.606186 | − | 0.795323i | \(-0.707301\pi\) |
−0.127310 | + | 0.991863i | \(0.540634\pi\) | |||||||
\(774\) | −10.1879 | − | 14.8394i | −0.366195 | − | 0.533391i | ||||
\(775\) | 8.31900 | − | 31.0469i | 0.298827 | − | 1.11524i | ||||
\(776\) | − | 29.6985i | − | 1.06611i | ||||||
\(777\) | −2.98466 | + | 18.0857i | −0.107074 | + | 0.648820i | ||||
\(778\) | −14.6066 | − | 14.6066i | −0.523672 | − | 0.523672i | ||||
\(779\) | −13.1716 | − | 22.8138i | −0.471921 | − | 0.817390i | ||||
\(780\) | −21.0619 | − | 3.31872i | −0.754137 | − | 0.118829i | ||||
\(781\) | −0.914214 | + | 1.58346i | −0.0327131 | + | 0.0566608i | ||||
\(782\) | −9.32826 | + | 34.8135i | −0.333578 | + | 1.24493i | ||||
\(783\) | 2.53553 | + | 4.53553i | 0.0906126 | + | 0.162087i | ||||
\(784\) | 6.92820 | + | 1.00000i | 0.247436 | + | 0.0357143i | ||||
\(785\) | 9.24264 | + | 9.24264i | 0.329884 | + | 0.329884i | ||||
\(786\) | 12.3691 | + | 1.13970i | 0.441192 | + | 0.0406516i | ||||
\(787\) | 53.2632 | − | 14.2718i | 1.89863 | − | 0.508736i | 0.901521 | − | 0.432736i | \(-0.142452\pi\) |
0.997108 | − | 0.0759999i | \(-0.0242149\pi\) | |||||||
\(788\) | −1.83013 | − | 6.83013i | −0.0651956 | − | 0.243313i | ||||
\(789\) | −4.68143 | + | 3.89152i | −0.166663 | + | 0.138542i | ||||
\(790\) | 4.82843i | 0.171788i | ||||||||
\(791\) | 21.4213 | − | 10.3986i | 0.761652 | − | 0.369730i | ||||
\(792\) | 0.514719 | + | 1.45584i | 0.0182897 | + | 0.0517312i | ||||
\(793\) | 3.59808 | + | 0.232051i | 0.127771 | + | 0.00824037i | ||||
\(794\) | 0.123093 | + | 0.0710678i | 0.00436841 | + | 0.00252210i | ||||
\(795\) | 6.57421 | + | 14.2700i | 0.233163 | + | 0.506104i | ||||
\(796\) | 0.464466 | + | 0.804479i | 0.0164626 | + | 0.0285140i | ||||
\(797\) | −46.2843 | −1.63947 | −0.819737 | − | 0.572741i | \(-0.805880\pi\) | ||||
−0.819737 | + | 0.572741i | \(0.805880\pi\) | |||||||
\(798\) | 8.80597 | − | 19.4388i | 0.311728 | − | 0.688126i | ||||
\(799\) | −28.8492 | + | 28.8492i | −1.02061 | + | 1.02061i | ||||
\(800\) | 32.1501 | + | 8.61460i | 1.13668 | + | 0.304572i | ||||
\(801\) | 7.61590 | + | 11.0931i | 0.269095 | + | 0.391957i | ||||
\(802\) | −1.87868 | + | 3.25397i | −0.0663385 | + | 0.114902i | ||||
\(803\) | −0.615224 | − | 1.06560i | −0.0217108 | − | 0.0376042i | ||||
\(804\) | 4.92893 | + | 3.48528i | 0.173830 | + | 0.122916i | ||||
\(805\) | 55.6718 | + | 64.2843i | 1.96217 | + | 2.26572i | ||||
\(806\) | −9.65685 | + | 14.4853i | −0.340148 | + | 0.510222i | ||||
\(807\) | 9.32366 | − | 7.75044i | 0.328208 | − | 0.272829i | ||||
\(808\) | 3.10583 | + | 11.5911i | 0.109263 | + | 0.407774i | ||||
\(809\) | 34.1443 | + | 19.7132i | 1.20045 | + | 0.693079i | 0.960655 | − | 0.277745i | \(-0.0895869\pi\) |
0.239794 | + | 0.970824i | \(0.422920\pi\) | |||||||
\(810\) | −11.0407 | + | 28.6759i | −0.387931 | + | 1.00757i | ||||
\(811\) | −21.0711 | + | 21.0711i | −0.739905 | + | 0.739905i | −0.972560 | − | 0.232654i | \(-0.925259\pi\) |
0.232654 | + | 0.972560i | \(0.425259\pi\) | |||||||
\(812\) | 2.63896 | + | 0.189469i | 0.0926093 | + | 0.00664905i | ||||
\(813\) | −13.8995 | − | 9.82843i | −0.487477 | − | 0.344698i | ||||
\(814\) | 0.177625 | − | 0.662907i | 0.00622576 | − | 0.0232349i | ||||
\(815\) | 23.1471 | + | 13.3640i | 0.810806 | + | 0.468119i | ||||
\(816\) | −2.29668 | + | 6.22060i | −0.0803997 | + | 0.217765i | ||||
\(817\) | −7.23170 | + | 26.9891i | −0.253005 | + | 0.944228i | ||||
\(818\) | 1.27208 | 0.0444772 | ||||||||
\(819\) | −19.0282 | − | 21.3759i | −0.664899 | − | 0.746934i | ||||
\(820\) | 19.3137 | 0.674464 | ||||||||
\(821\) | 2.09656 | − | 7.82449i | 0.0731706 | − | 0.273076i | −0.919642 | − | 0.392758i | \(-0.871521\pi\) |
0.992812 | + | 0.119682i | \(0.0381875\pi\) | |||||||
\(822\) | −5.15062 | + | 13.9506i | −0.179648 | + | 0.486582i | ||||
\(823\) | −14.2767 | − | 8.24264i | −0.497654 | − | 0.287320i | 0.230091 | − | 0.973169i | \(-0.426098\pi\) |
−0.727744 | + | 0.685849i | \(0.759431\pi\) | |||||||
\(824\) | 8.14137 | − | 30.3840i | 0.283618 | − | 1.05848i | ||||
\(825\) | −1.61522 | − | 1.14214i | −0.0562349 | − | 0.0397641i | ||||
\(826\) | −8.64845 | − | 17.8160i | −0.300918 | − | 0.619898i | ||||
\(827\) | 19.6777 | − | 19.6777i | 0.684260 | − | 0.684260i | −0.276697 | − | 0.960957i | \(-0.589240\pi\) |
0.960957 | + | 0.276697i | \(0.0892400\pi\) | |||||||
\(828\) | 18.3529 | − | 21.4667i | 0.637808 | − | 0.746018i | ||||
\(829\) | −11.1352 | − | 6.42893i | −0.386743 | − | 0.223286i | 0.294005 | − | 0.955804i | \(-0.405012\pi\) |
−0.680748 | + | 0.732518i | \(0.738345\pi\) | |||||||
\(830\) | −13.8354 | − | 51.6344i | −0.480233 | − | 1.79226i | ||||
\(831\) | −2.43538 | + | 2.02445i | −0.0844822 | + | 0.0702273i | ||||
\(832\) | −21.0000 | − | 14.0000i | −0.728044 | − | 0.485363i | ||||
\(833\) | 9.94655 | + | 24.8848i | 0.344627 | + | 0.862206i | ||||
\(834\) | 24.1421 | + | 17.0711i | 0.835974 | + | 0.591123i | ||||
\(835\) | −20.4350 | − | 35.3945i | −0.707183 | − | 1.22488i | ||||
\(836\) | 0.399495 | − | 0.691946i | 0.0138168 | − | 0.0239314i | ||||
\(837\) | −17.4935 | − | 17.9847i | −0.604663 | − | 0.621641i | ||||
\(838\) | −30.0123 | − | 8.04178i | −1.03676 | − | 0.277799i | ||||
\(839\) | −32.6066 | + | 32.6066i | −1.12570 | + | 1.12570i | −0.134837 | + | 0.990868i | \(0.543051\pi\) |
−0.990868 | + | 0.134837i | \(0.956949\pi\) | |||||||
\(840\) | 27.3428 | + | 38.1512i | 0.943417 | + | 1.31634i | ||||
\(841\) | 28.0000 | 0.965517 | ||||||||
\(842\) | 2.17157 | + | 3.76127i | 0.0748373 | + | 0.129622i | ||||
\(843\) | −6.22250 | − | 13.5066i | −0.214314 | − | 0.465191i | ||||
\(844\) | −0.804479 | − | 0.464466i | −0.0276913 | − | 0.0159876i | ||||
\(845\) | −43.9928 | + | 5.88542i | −1.51340 | + | 0.202465i | ||||
\(846\) | −30.1421 | + | 10.6569i | −1.03631 | + | 0.366390i | ||||
\(847\) | 24.0329 | + | 16.2755i | 0.825780 | + | 0.559234i | ||||
\(848\) | 2.65685i | 0.0912367i | ||||||||
\(849\) | 29.0352 | − | 24.1360i | 0.996485 | − | 0.828345i | ||||
\(850\) | −6.59608 | − | 24.6169i | −0.226244 | − | 0.844352i | ||||
\(851\) | −36.3737 | + | 9.74631i | −1.24688 | + | 0.334099i | ||||
\(852\) | 18.3804 | + | 1.69357i | 0.629701 | + | 0.0580208i | ||||
\(853\) | 11.0711 | + | 11.0711i | 0.379066 | + | 0.379066i | 0.870765 | − | 0.491699i | \(-0.163624\pi\) |
−0.491699 | + | 0.870765i | \(0.663624\pi\) | |||||||
\(854\) | −1.73205 | − | 2.00000i | −0.0592696 | − | 0.0684386i | ||||
\(855\) | 44.9706 | − | 15.8995i | 1.53796 | − | 0.543751i | ||||
\(856\) | 0.909676 | − | 3.39496i | 0.0310921 | − | 0.116037i | ||||
\(857\) | −14.2990 | + | 24.7666i | −0.488444 | + | 0.846010i | −0.999912 | − | 0.0132925i | \(-0.995769\pi\) |
0.511467 | + | 0.859303i | \(0.329102\pi\) | |||||||
\(858\) | 0.630484 | + | 0.866338i | 0.0215244 | + | 0.0295763i | ||||
\(859\) | −9.89949 | − | 17.1464i | −0.337766 | − | 0.585029i | 0.646246 | − | 0.763129i | \(-0.276338\pi\) |
−0.984012 | + | 0.178101i | \(0.943005\pi\) | |||||||
\(860\) | −14.4853 | − | 14.4853i | −0.493944 | − | 0.493944i | ||||
\(861\) | 20.0399 | + | 16.4440i | 0.682957 | + | 0.560408i | ||||
\(862\) | 20.8284i | 0.709419i | ||||||||
\(863\) | −7.66052 | + | 28.5895i | −0.260767 | + | 0.973196i | 0.704023 | + | 0.710177i | \(0.251385\pi\) |
−0.964791 | + | 0.263019i | \(0.915282\pi\) | |||||||
\(864\) | 18.6237 | − | 18.1151i | 0.633592 | − | 0.616288i | ||||
\(865\) | 4.89828 | − | 1.31249i | 0.166546 | − | 0.0446260i | ||||
\(866\) | −22.3536 | − | 5.98963i | −0.759606 | − | 0.203536i | ||||
\(867\) | 4.00000 | − | 0.686292i | 0.135847 | − | 0.0233077i | ||||
\(868\) | −12.5446 | + | 2.41421i | −0.425792 | + | 0.0819437i | ||||
\(869\) | −0.171573 | + | 0.171573i | −0.00582021 | + | 0.00582021i | ||||
\(870\) | −3.78024 | − | 4.54757i | −0.128162 | − | 0.154177i | ||||
\(871\) | 11.9037 | + | 4.02687i | 0.403341 | + | 0.136445i | ||||
\(872\) | −11.9142 | − | 6.87868i | −0.403466 | − | 0.232941i | ||||
\(873\) | 29.6081 | − | 2.31524i | 1.00208 | − | 0.0783592i | ||||
\(874\) | 43.8406 | 1.48293 | ||||||||
\(875\) | −14.1421 | − | 4.89898i | −0.478091 | − | 0.165616i | ||||
\(876\) | −7.17157 | + | 10.1421i | −0.242305 | + | 0.342671i | ||||
\(877\) | 44.1011 | + | 11.8169i | 1.48919 | + | 0.399027i | 0.909463 | − | 0.415784i | \(-0.136493\pi\) |
0.579726 | + | 0.814811i | \(0.303160\pi\) | |||||||
\(878\) | −0.998489 | − | 3.72641i | −0.0336974 | − | 0.125760i | ||||
\(879\) | −19.6196 | − | 42.5864i | −0.661753 | − | 1.43640i | ||||
\(880\) | −0.292893 | − | 0.507306i | −0.00987343 | − | 0.0171013i | ||||
\(881\) | −2.00000 | −0.0673817 | −0.0336909 | − | 0.999432i | \(-0.510726\pi\) | ||||
−0.0336909 | + | 0.999432i | \(0.510726\pi\) | |||||||
\(882\) | −1.37054 | + | 20.9552i | −0.0461484 | + | 0.705599i | ||||
\(883\) | 18.1421i | 0.610531i | 0.952267 | + | 0.305266i | \(0.0987453\pi\) | ||||
−0.952267 | + | 0.305266i | \(0.901255\pi\) | |||||||
\(884\) | 0.888390 | − | 13.7750i | 0.0298798 | − | 0.463302i | ||||
\(885\) | 15.3313 | − | 41.5251i | 0.515355 | − | 1.39585i | ||||
\(886\) | −7.95297 | − | 29.6809i | −0.267185 | − | 0.997149i | ||||
\(887\) | 32.1405 | − | 18.5563i | 1.07917 | − | 0.623061i | 0.148500 | − | 0.988912i | \(-0.452555\pi\) |
0.930673 | + | 0.365851i | \(0.119222\pi\) | |||||||
\(888\) | −20.4853 | + | 3.51472i | −0.687441 | + | 0.117946i | ||||
\(889\) | 28.9000 | − | 14.0290i | 0.969274 | − | 0.470516i | ||||
\(890\) | −10.8284 | − | 10.8284i | −0.362970 | − | 0.362970i | ||||
\(891\) | −1.41129 | + | 0.626647i | −0.0472799 | + | 0.0209935i | ||||
\(892\) | 4.82963 | − | 1.29410i | 0.161708 | − | 0.0433295i | ||||
\(893\) | 42.9786 | + | 24.8137i | 1.43822 | + | 0.830359i | ||||
\(894\) | −3.31027 | + | 2.75172i | −0.110712 | + | 0.0920313i | ||||
\(895\) | −44.6274 | − | 44.6274i | −1.49173 | − | 1.49173i | ||||
\(896\) | −1.50000 | − | 7.79423i | −0.0501115 | − | 0.260387i | ||||
\(897\) | 23.8701 | − | 53.7279i | 0.796998 | − | 1.79392i | ||||
\(898\) | −1.41421 | − | 2.44949i | −0.0471929 | − | 0.0817405i | ||||
\(899\) | 4.66390 | − | 1.24969i | 0.155550 | − | 0.0416795i | ||||
\(900\) | −3.64921 | + | 19.6343i | −0.121640 | + | 0.654477i | ||||
\(901\) | −8.80884 | + | 5.08579i | −0.293465 | + | 0.169432i | ||||
\(902\) | −0.686292 | − | 0.686292i | −0.0228510 | − | 0.0228510i | ||||
\(903\) | −2.69694 | − | 27.3629i | −0.0897485 | − | 0.910579i | ||||
\(904\) | 19.0919 | + | 19.0919i | 0.634987 | + | 0.634987i | ||||
\(905\) | −63.1284 | − | 16.9152i | −2.09846 | − | 0.562280i | ||||
\(906\) | 23.0266 | + | 8.50153i | 0.765008 | + | 0.282445i | ||||
\(907\) | −31.8944 | − | 18.4142i | −1.05903 | − | 0.611434i | −0.133870 | − | 0.990999i | \(-0.542740\pi\) |
−0.925165 | + | 0.379565i | \(0.876074\pi\) | |||||||
\(908\) | −5.79555 | − | 1.55291i | −0.192332 | − | 0.0515353i | ||||
\(909\) | −11.3137 | + | 4.00000i | −0.375252 | + | 0.132672i | ||||
\(910\) | 25.7361 | + | 19.9606i | 0.853144 | + | 0.661687i | ||||
\(911\) | 32.4264i | 1.07433i | 0.843476 | + | 0.537167i | \(0.180506\pi\) | ||||
−0.843476 | + | 0.537167i | \(0.819494\pi\) | |||||||
\(912\) | 8.03189 | + | 0.740061i | 0.265962 | + | 0.0245059i | ||||
\(913\) | 1.34315 | − | 2.32640i | 0.0444516 | − | 0.0769925i | ||||
\(914\) | 17.7782 | − | 30.7927i | 0.588050 | − | 1.01853i | ||||
\(915\) | 0.542582 | − | 5.88865i | 0.0179372 | − | 0.194673i | ||||
\(916\) | 15.8995 | − | 15.8995i | 0.525334 | − | 0.525334i | ||||
\(917\) | 15.7106 | + | 10.6395i | 0.518808 | + | 0.351347i | ||||
\(918\) | −19.1421 | − | 5.41421i | −0.631785 | − | 0.178696i | ||||
\(919\) | −7.82843 | − | 13.5592i | −0.258236 | − | 0.447278i | 0.707533 | − | 0.706680i | \(-0.249808\pi\) |
−0.965769 | + | 0.259402i | \(0.916475\pi\) | |||||||
\(920\) | −48.2132 | + | 83.5077i | −1.58954 | + | 2.75317i | ||||
\(921\) | −7.86566 | + | 3.62372i | −0.259182 | + | 0.119406i | ||||
\(922\) | 17.0594 | − | 9.84924i | 0.561821 | − | 0.324368i | ||||
\(923\) | 37.6777 | − | 7.53553i | 1.24018 | − | 0.248035i | ||||
\(924\) | −0.128022 | + | 0.775753i | −0.00421160 | + | 0.0255204i | ||||
\(925\) | 18.8284 | − | 18.8284i | 0.619075 | − | 0.619075i | ||||
\(926\) | −4.89898 | + | 2.82843i | −0.160990 | + | 0.0929479i | ||||
\(927\) | 30.9262 | + | 5.74791i | 1.01575 | + | 0.188786i | ||||
\(928\) | 1.29410 | + | 4.82963i | 0.0424808 | + | 0.158540i | ||||
\(929\) | −10.9960 | + | 41.0376i | −0.360767 | + | 1.34640i | 0.512302 | + | 0.858805i | \(0.328793\pi\) |
−0.873069 | + | 0.487596i | \(0.837874\pi\) | |||||||
\(930\) | 23.3137 | + | 16.4853i | 0.764487 | + | 0.540574i | ||||
\(931\) | 26.1067 | − | 19.5209i | 0.855613 | − | 0.639773i | ||||
\(932\) | − | 12.6569i | − | 0.414589i | ||||||
\(933\) | 33.3736 | + | 40.1479i | 1.09260 | + | 1.31438i | ||||
\(934\) | 10.5967 | − | 2.83939i | 0.346736 | − | 0.0929077i | ||||
\(935\) | 1.12132 | − | 1.94218i | 0.0366711 | − | 0.0635162i | ||||
\(936\) | 15.8403 | − | 28.3211i | 0.517758 | − | 0.925703i | ||||
\(937\) | −35.2843 | −1.15269 | −0.576343 | − | 0.817208i | \(-0.695521\pi\) | ||||
−0.576343 | + | 0.817208i | \(0.695521\pi\) | |||||||
\(938\) | −4.02687 | − | 8.29546i | −0.131482 | − | 0.270856i | ||||
\(939\) | −21.0711 | + | 3.61522i | −0.687628 | + | 0.117978i | ||||
\(940\) | −31.5101 | + | 18.1924i | −1.02775 | + | 0.593370i | ||||
\(941\) | −6.02993 | + | 1.61571i | −0.196570 | + | 0.0526708i | −0.355761 | − | 0.934577i | \(-0.615778\pi\) |
0.159191 | + | 0.987248i | \(0.449112\pi\) | |||||||
\(942\) | −6.02262 | + | 2.77463i | −0.196228 | + | 0.0904024i | ||||
\(943\) | −13.7834 | + | 51.4402i | −0.448848 | + | 1.67512i | ||||
\(944\) | 5.29289 | − | 5.29289i | 0.172269 | − | 0.172269i | ||||
\(945\) | −35.9035 | + | 30.2338i | −1.16794 | + | 0.983506i | ||||
\(946\) | 1.02944i | 0.0334699i | ||||||||
\(947\) | 42.0036 | + | 11.2548i | 1.36493 | + | 0.365732i | 0.865625 | − | 0.500693i | \(-0.166921\pi\) |
0.499307 | + | 0.866425i | \(0.333588\pi\) | |||||||
\(948\) | 2.29788 | + | 0.848387i | 0.0746316 | + | 0.0275543i | ||||
\(949\) | −8.28600 | + | 24.4939i | −0.268975 | + | 0.795106i | ||||
\(950\) | −26.8468 | + | 15.5000i | −0.871025 | + | 0.502886i | ||||
\(951\) | −43.9411 | − | 31.0711i | −1.42489 | − | 1.00755i | ||||
\(952\) | −22.9706 | + | 19.8931i | −0.744480 | + | 0.644739i | ||||
\(953\) | −3.14214 | −0.101784 | −0.0508919 | − | 0.998704i | \(-0.516206\pi\) | ||||
−0.0508919 | + | 0.998704i | \(0.516206\pi\) | |||||||
\(954\) | −7.94631 | + | 0.621372i | −0.257271 | + | 0.0201177i | ||||
\(955\) | 14.9963 | + | 55.9668i | 0.485268 | + | 1.81104i | ||||
\(956\) | −4.22230 | − | 15.7578i | −0.136559 | − | 0.509645i | ||||
\(957\) | 0.0272661 | − | 0.295919i | 0.000881389 | − | 0.00956572i | ||||
\(958\) | 12.5147 | 0.404332 | ||||||||
\(959\) | −17.1716 | + | 14.8710i | −0.554499 | + | 0.480210i | ||||
\(960\) | −23.8995 | + | 33.7990i | −0.771353 | + | 1.09086i | ||||
\(961\) | 6.65652 | − | 3.84315i | 0.214727 | − | 0.123972i | ||||
\(962\) | −12.9282 | + | 6.39230i | −0.416822 | + | 0.206096i | ||||
\(963\) | 3.45554 | + | 0.642242i | 0.111353 | + | 0.0206960i | ||||
\(964\) | −13.2886 | − | 3.56067i | −0.427997 | − | 0.114681i | ||||
\(965\) | − | 9.65685i | − | 0.310865i | ||||||
\(966\) | −40.3752 | + | 15.1994i | −1.29905 | + | 0.489032i | ||||
\(967\) | 38.6066 | − | 38.6066i | 1.24150 | − | 1.24150i | 0.282128 | − | 0.959377i | \(-0.408960\pi\) |
0.959377 | − | 0.282128i | \(-0.0910402\pi\) | |||||||
\(968\) | −8.51817 | + | 31.7902i | −0.273784 | + | 1.02178i | ||||
\(969\) | 12.9211 | + | 28.0465i | 0.415084 | + | 0.900983i | ||||
\(970\) | −32.6473 | + | 8.74782i | −1.04824 | + | 0.280876i | ||||
\(971\) | 0.0870399 | − | 0.0502525i | 0.00279324 | − | 0.00161268i | −0.498603 | − | 0.866831i | \(-0.666153\pi\) |
0.501396 | + | 0.865218i | \(0.332820\pi\) | |||||||
\(972\) | 11.7071 | + | 10.2929i | 0.375506 | + | 0.330145i | ||||
\(973\) | 19.7238 | + | 40.6315i | 0.632317 | + | 1.30259i | ||||
\(974\) | 20.6569 | 0.661888 | ||||||||
\(975\) | 4.37832 | + | 41.3408i | 0.140219 | + | 1.32397i | ||||
\(976\) | 0.500000 | − | 0.866025i | 0.0160046 | − | 0.0277208i | ||||
\(977\) | 51.6746 | − | 13.8462i | 1.65322 | − | 0.442978i | 0.692706 | − | 0.721220i | \(-0.256418\pi\) |
0.960511 | + | 0.278242i | \(0.0897518\pi\) | |||||||
\(978\) | −10.4271 | + | 8.66768i | −0.333421 | + | 0.277162i | ||||
\(979\) | − | 0.769553i | − | 0.0245950i | ||||||
\(980\) | 2.82432 | + | 23.7320i | 0.0902197 | + | 0.758092i | ||||
\(981\) | 5.92893 | − | 12.4142i | 0.189296 | − | 0.396355i | ||||
\(982\) | 8.59621 | − | 32.0815i | 0.274316 | − | 1.02376i | ||||
\(983\) | −13.7174 | − | 51.1941i | −0.437517 | − | 1.63284i | −0.734969 | − | 0.678100i | \(-0.762803\pi\) |
0.297452 | − | 0.954737i | \(-0.403863\pi\) | |||||||
\(984\) | −10.1806 | + | 27.5745i | −0.324547 | + | 0.879044i | ||||
\(985\) | −20.9077 | + | 12.0711i | −0.666175 | + | 0.384616i | ||||
\(986\) | 2.70711 | − | 2.70711i | 0.0862118 | − | 0.0862118i | ||||
\(987\) | −48.1841 | − | 7.95177i | −1.53372 | − | 0.253108i | ||||
\(988\) | −16.4645 | + | 3.29289i | −0.523804 | + | 0.104761i | ||||
\(989\) | 48.9177 | − | 28.2426i | 1.55549 | − | 0.898064i | ||||
\(990\) | 1.44879 | − | 0.994652i | 0.0460454 | − | 0.0316121i | ||||
\(991\) | −13.4645 | + | 23.3211i | −0.427713 | + | 0.740820i | −0.996669 | − | 0.0815471i | \(-0.974014\pi\) |
0.568957 | + | 0.822368i | \(0.307347\pi\) | |||||||
\(992\) | −12.0711 | − | 20.9077i | −0.383257 | − | 0.663820i | ||||
\(993\) | 27.4558 | − | 38.8284i | 0.871285 | − | 1.23218i | ||||
\(994\) | −23.3457 | − | 15.8101i | −0.740479 | − | 0.501467i | ||||
\(995\) | 2.24264 | − | 2.24264i | 0.0710965 | − | 0.0710965i | ||||
\(996\) | −27.0041 | − | 2.48817i | −0.855657 | − | 0.0788405i | ||||
\(997\) | −16.9142 | + | 29.2963i | −0.535679 | + | 0.927822i | 0.463452 | + | 0.886122i | \(0.346611\pi\) |
−0.999130 | + | 0.0417002i | \(0.986723\pi\) | |||||||
\(998\) | 14.8284 | − | 25.6836i | 0.469386 | − | 0.813000i | ||||
\(999\) | −5.10102 | − | 20.1489i | −0.161389 | − | 0.637484i |
(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 | 273.2.cd.c.200.1 | yes | 8 | |
3.2 | odd | 2 | 273.2.cd.d.200.2 | yes | 8 | ||
7.2 | even | 3 | inner | 273.2.cd.c.44.2 | ✓ | 8 | |
13.8 | odd | 4 | 273.2.cd.d.242.1 | yes | 8 | ||
21.2 | odd | 6 | 273.2.cd.d.44.1 | yes | 8 | ||
39.8 | even | 4 | inner | 273.2.cd.c.242.2 | yes | 8 | |
91.86 | odd | 12 | 273.2.cd.d.86.2 | yes | 8 | ||
273.86 | even | 12 | inner | 273.2.cd.c.86.1 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.cd.c.44.2 | ✓ | 8 | 7.2 | even | 3 | inner | |
273.2.cd.c.86.1 | yes | 8 | 273.86 | even | 12 | inner | |
273.2.cd.c.200.1 | yes | 8 | 1.1 | even | 1 | trivial | |
273.2.cd.c.242.2 | yes | 8 | 39.8 | even | 4 | inner | |
273.2.cd.d.44.1 | yes | 8 | 21.2 | odd | 6 | ||
273.2.cd.d.86.2 | yes | 8 | 91.86 | odd | 12 | ||
273.2.cd.d.200.2 | yes | 8 | 3.2 | odd | 2 | ||
273.2.cd.d.242.1 | yes | 8 | 13.8 | odd | 4 |