Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [700,2,Mod(451,700)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(700, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("700.451");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 700.p (of order \(6\), degree \(2\), 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: | \(5.58952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 551.12 | ||
Character | \(\chi\) | \(=\) | 700.551 |
Dual form | 700.2.p.e.451.12 |
$q$-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 \(\left(\mathbb{Z}/700\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(351\) | \(477\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.843578 | + | 1.13507i | 0.596500 | + | 0.802613i | ||||
\(3\) | −0.940044 | − | 1.62820i | −0.542735 | − | 0.940044i | −0.998746 | − | 0.0500701i | \(-0.984056\pi\) |
0.456011 | − | 0.889974i | \(-0.349278\pi\) | |||||||
\(4\) | −0.576753 | + | 1.91503i | −0.288376 | + | 0.957517i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.05512 | − | 2.44053i | 0.430751 | − | 0.996342i | ||||
\(7\) | −2.57589 | − | 0.603960i | −0.973597 | − | 0.228275i | ||||
\(8\) | −2.66023 | + | 0.960828i | −0.940532 | + | 0.339704i | ||||
\(9\) | −0.267367 | + | 0.463092i | −0.0891222 | + | 0.154364i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.20016 | − | 0.692910i | 0.361860 | − | 0.208920i | −0.308036 | − | 0.951375i | \(-0.599672\pi\) |
0.669897 | + | 0.742454i | \(0.266338\pi\) | |||||||
\(12\) | 3.66024 | − | 0.861146i | 1.05662 | − | 0.248591i | ||||
\(13\) | 5.79701i | 1.60780i | 0.594764 | + | 0.803901i | \(0.297246\pi\) | ||||
−0.594764 | + | 0.803901i | \(0.702754\pi\) | |||||||
\(14\) | −1.48743 | − | 3.43330i | −0.397533 | − | 0.917588i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.33471 | − | 2.20900i | −0.833678 | − | 0.552250i | ||||
\(17\) | −4.04066 | + | 2.33288i | −0.980004 | + | 0.565806i | −0.902271 | − | 0.431169i | \(-0.858101\pi\) |
−0.0777328 | + | 0.996974i | \(0.524768\pi\) | |||||||
\(18\) | −0.751185 | + | 0.0871757i | −0.177056 | + | 0.0205475i | ||||
\(19\) | −2.74619 | + | 4.75654i | −0.630019 | + | 1.09122i | 0.357529 | + | 0.933902i | \(0.383619\pi\) |
−0.987547 | + | 0.157322i | \(0.949714\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.43808 | + | 4.76183i | 0.313816 | + | 1.03912i | ||||
\(22\) | 1.79892 | + | 0.777733i | 0.383532 | + | 0.165813i | ||||
\(23\) | −4.02241 | − | 2.32234i | −0.838730 | − | 0.484241i | 0.0181024 | − | 0.999836i | \(-0.494238\pi\) |
−0.856832 | + | 0.515595i | \(0.827571\pi\) | |||||||
\(24\) | 4.06516 | + | 3.42817i | 0.829797 | + | 0.699773i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −6.57999 | + | 4.89023i | −1.29044 | + | 0.959053i | ||||
\(27\) | −4.63492 | −0.891991 | ||||||||
\(28\) | 2.64226 | − | 4.58459i | 0.499340 | − | 0.866406i | ||||
\(29\) | −2.04334 | −0.379439 | −0.189720 | − | 0.981838i | \(-0.560758\pi\) | ||||
−0.189720 | + | 0.981838i | \(0.560758\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.832529 | − | 1.44198i | −0.149527 | − | 0.258988i | 0.781526 | − | 0.623873i | \(-0.214442\pi\) |
−0.931053 | + | 0.364885i | \(0.881108\pi\) | |||||||
\(32\) | −0.305726 | − | 5.64859i | −0.0540452 | − | 0.998538i | ||||
\(33\) | −2.25640 | − | 1.30273i | −0.392789 | − | 0.226777i | ||||
\(34\) | −6.05658 | − | 2.61846i | −1.03870 | − | 0.449062i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.732633 | − | 0.779106i | −0.122106 | − | 0.129851i | ||||
\(37\) | 0.142718 | − | 0.247194i | 0.0234627 | − | 0.0406385i | −0.854056 | − | 0.520182i | \(-0.825864\pi\) |
0.877518 | + | 0.479543i | \(0.159198\pi\) | |||||||
\(38\) | −7.71561 | + | 0.895403i | −1.25164 | + | 0.145254i | ||||
\(39\) | 9.43872 | − | 5.44945i | 1.51140 | − | 0.872610i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.21024i | 1.28222i | 0.767447 | + | 0.641112i | \(0.221527\pi\) | ||||
−0.767447 | + | 0.641112i | \(0.778473\pi\) | |||||||
\(42\) | −4.19186 | + | 5.64930i | −0.646818 | + | 0.871706i | ||||
\(43\) | 3.30992i | 0.504758i | 0.967628 | + | 0.252379i | \(0.0812130\pi\) | ||||
−0.967628 | + | 0.252379i | \(0.918787\pi\) | |||||||
\(44\) | 0.634754 | + | 2.69798i | 0.0956927 | + | 0.406735i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.757206 | − | 6.52477i | −0.111644 | − | 0.962025i | ||||
\(47\) | 0.0690967 | − | 0.119679i | 0.0100788 | − | 0.0174570i | −0.860942 | − | 0.508703i | \(-0.830125\pi\) |
0.871021 | + | 0.491246i | \(0.163458\pi\) | |||||||
\(48\) | −0.461929 | + | 7.50615i | −0.0666737 | + | 1.08342i | ||||
\(49\) | 6.27046 | + | 3.11147i | 0.895781 | + | 0.444496i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 7.59680 | + | 4.38601i | 1.06376 | + | 0.614165i | ||||
\(52\) | −11.1015 | − | 3.34344i | −1.53950 | − | 0.463652i | ||||
\(53\) | −3.36415 | − | 5.82688i | −0.462102 | − | 0.800384i | 0.536964 | − | 0.843605i | \(-0.319571\pi\) |
−0.999066 | + | 0.0432214i | \(0.986238\pi\) | |||||||
\(54\) | −3.90992 | − | 5.26094i | −0.532072 | − | 0.715924i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 7.43277 | − | 0.868321i | 0.993245 | − | 0.116034i | ||||
\(57\) | 10.3262 | 1.36773 | ||||||||
\(58\) | −1.72372 | − | 2.31933i | −0.226335 | − | 0.304543i | ||||
\(59\) | −0.832529 | − | 1.44198i | −0.108386 | − | 0.187730i | 0.806730 | − | 0.590920i | \(-0.201235\pi\) |
−0.915117 | + | 0.403189i | \(0.867902\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.49596 | − | 1.44104i | −0.319575 | − | 0.184507i | 0.331628 | − | 0.943410i | \(-0.392402\pi\) |
−0.651203 | + | 0.758903i | \(0.725735\pi\) | |||||||
\(62\) | 0.934444 | − | 2.16140i | 0.118674 | − | 0.274498i | ||||
\(63\) | 0.968397 | − | 1.03140i | 0.122007 | − | 0.129944i | ||||
\(64\) | 6.15362 | − | 5.11204i | 0.769202 | − | 0.639005i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.424760 | − | 3.66012i | −0.0522843 | − | 0.450529i | ||||
\(67\) | 10.0859 | − | 5.82309i | 1.23219 | − | 0.711404i | 0.264702 | − | 0.964330i | \(-0.414726\pi\) |
0.967485 | + | 0.252927i | \(0.0813931\pi\) | |||||||
\(68\) | −2.13708 | − | 9.08350i | −0.259159 | − | 1.10154i | ||||
\(69\) | 8.73240i | 1.05126i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.29926i | 0.272871i | 0.990649 | + | 0.136436i | \(0.0435647\pi\) | ||||
−0.990649 | + | 0.136436i | \(0.956435\pi\) | |||||||
\(72\) | 0.266304 | − | 1.48882i | 0.0313842 | − | 0.175460i | ||||
\(73\) | −4.04066 | + | 2.33288i | −0.472924 | + | 0.273043i | −0.717463 | − | 0.696597i | \(-0.754697\pi\) |
0.244539 | + | 0.969639i | \(0.421363\pi\) | |||||||
\(74\) | 0.400976 | − | 0.0465336i | 0.0466125 | − | 0.00540942i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −7.52506 | − | 8.00239i | −0.863184 | − | 0.917937i | ||||
\(77\) | −3.50996 | + | 1.06002i | −0.399997 | + | 0.120800i | ||||
\(78\) | 14.1478 | + | 6.11654i | 1.60192 | + | 0.692562i | ||||
\(79\) | −8.88033 | − | 5.12706i | −0.999115 | − | 0.576839i | −0.0911285 | − | 0.995839i | \(-0.529047\pi\) |
−0.907986 | + | 0.419000i | \(0.862381\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.15913 | + | 8.93587i | 0.573237 | + | 0.992875i | ||||
\(82\) | −9.31917 | + | 6.92598i | −1.02913 | + | 0.764846i | ||||
\(83\) | 0.0814876 | 0.00894443 | 0.00447221 | − | 0.999990i | \(-0.498576\pi\) | ||||
0.00447221 | + | 0.999990i | \(0.498576\pi\) | |||||||
\(84\) | −9.94849 | + | 0.00758271i | −1.08547 | + | 0.000827341i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −3.75698 | + | 2.79218i | −0.405126 | + | 0.301088i | ||||
\(87\) | 1.92083 | + | 3.32698i | 0.205935 | + | 0.356690i | ||||
\(88\) | −2.52692 | + | 2.99644i | −0.269370 | + | 0.319422i | ||||
\(89\) | 3.22105 | + | 1.85967i | 0.341430 | + | 0.197125i | 0.660904 | − | 0.750470i | \(-0.270173\pi\) |
−0.319474 | + | 0.947595i | \(0.603506\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.50116 | − | 14.9325i | 0.367022 | − | 1.56535i | ||||
\(92\) | 6.76729 | − | 6.36363i | 0.705539 | − | 0.663455i | ||||
\(93\) | −1.56523 | + | 2.71106i | −0.162307 | + | 0.281123i | ||||
\(94\) | 0.194132 | − | 0.0225292i | 0.0200232 | − | 0.00232371i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −8.90966 | + | 5.80771i | −0.909338 | + | 0.592746i | ||||
\(97\) | 3.88816i | 0.394783i | 0.980325 | + | 0.197391i | \(0.0632470\pi\) | ||||
−0.980325 | + | 0.197391i | \(0.936753\pi\) | |||||||
\(98\) | 1.75790 | + | 9.74217i | 0.177574 | + | 0.984107i | ||||
\(99\) | 0.741044i | 0.0744777i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.91845 | − | 5.14907i | 0.887419 | − | 0.512352i | 0.0143218 | − | 0.999897i | \(-0.495441\pi\) |
0.873097 | + | 0.487546i | \(0.162108\pi\) | |||||||
\(102\) | 1.43007 | + | 12.3228i | 0.141598 | + | 1.22014i | ||||
\(103\) | −2.02688 | + | 3.51065i | −0.199714 | + | 0.345915i | −0.948436 | − | 0.316970i | \(-0.897335\pi\) |
0.748722 | + | 0.662885i | \(0.230668\pi\) | |||||||
\(104\) | −5.56993 | − | 15.4214i | −0.546177 | − | 1.51219i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.77598 | − | 8.73397i | 0.366755 | − | 0.848318i | ||||
\(107\) | 6.73270 | + | 3.88713i | 0.650875 | + | 0.375783i | 0.788791 | − | 0.614661i | \(-0.210707\pi\) |
−0.137917 | + | 0.990444i | \(0.544041\pi\) | |||||||
\(108\) | 2.67320 | − | 8.87603i | 0.257229 | − | 0.854097i | ||||
\(109\) | −4.42650 | − | 7.66692i | −0.423981 | − | 0.734357i | 0.572343 | − | 0.820014i | \(-0.306034\pi\) |
−0.996325 | + | 0.0856567i | \(0.972701\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.536644 | −0.0509360 | ||||||||
\(112\) | 7.25572 | + | 7.70419i | 0.685601 | + | 0.727977i | ||||
\(113\) | 14.8389 | 1.39593 | 0.697965 | − | 0.716131i | \(-0.254089\pi\) | ||||
0.697965 | + | 0.716131i | \(0.254089\pi\) | |||||||
\(114\) | 8.71091 | + | 11.7209i | 0.815852 | + | 1.09776i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 1.17850 | − | 3.91307i | 0.109421 | − | 0.363320i | ||||
\(117\) | −2.68455 | − | 1.54993i | −0.248187 | − | 0.143291i | ||||
\(118\) | 0.934444 | − | 2.16140i | 0.0860225 | − | 0.198973i | ||||
\(119\) | 11.8173 | − | 3.56885i | 1.08329 | − | 0.327156i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.53975 | + | 7.86308i | −0.412705 | + | 0.714825i | ||||
\(122\) | −0.469857 | − | 4.04872i | −0.0425389 | − | 0.366554i | ||||
\(123\) | 13.3679 | − | 7.71799i | 1.20535 | − | 0.695908i | ||||
\(124\) | 3.24161 | − | 0.762655i | 0.291105 | − | 0.0684884i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 1.98762 | + | 0.229130i | 0.177072 | + | 0.0204126i | ||||
\(127\) | 12.8398i | 1.13935i | 0.821871 | + | 0.569674i | \(0.192930\pi\) | ||||
−0.821871 | + | 0.569674i | \(0.807070\pi\) | |||||||
\(128\) | 10.9936 | + | 2.67236i | 0.971703 | + | 0.236206i | ||||
\(129\) | 5.38923 | − | 3.11147i | 0.474495 | − | 0.273950i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.64534 | − | 2.84981i | 0.143754 | − | 0.248989i | −0.785154 | − | 0.619301i | \(-0.787416\pi\) |
0.928907 | + | 0.370312i | \(0.120749\pi\) | |||||||
\(132\) | 3.79616 | − | 3.56973i | 0.330413 | − | 0.310705i | ||||
\(133\) | 9.94665 | − | 10.5937i | 0.862484 | − | 0.918595i | ||||
\(134\) | 15.1178 | + | 6.53592i | 1.30598 | + | 0.564618i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 8.50758 | − | 10.0884i | 0.729519 | − | 0.865070i | ||||
\(137\) | −10.6293 | − | 18.4106i | −0.908126 | − | 1.57292i | −0.816665 | − | 0.577112i | \(-0.804180\pi\) |
−0.0914606 | − | 0.995809i | \(-0.529154\pi\) | |||||||
\(138\) | −9.91186 | + | 7.36646i | −0.843753 | + | 0.627075i | ||||
\(139\) | 8.44096 | 0.715953 | 0.357976 | − | 0.933731i | \(-0.383467\pi\) | ||||
0.357976 | + | 0.933731i | \(0.383467\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.259816 | −0.0218804 | ||||||||
\(142\) | −2.60981 | + | 1.93960i | −0.219010 | + | 0.162768i | ||||
\(143\) | 4.01681 | + | 6.95731i | 0.335902 | + | 0.581800i | ||||
\(144\) | 1.91456 | − | 0.953667i | 0.159547 | − | 0.0794723i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −6.05658 | − | 2.61846i | −0.501246 | − | 0.216705i | ||||
\(147\) | −0.828399 | − | 13.1345i | −0.0683252 | − | 1.08332i | ||||
\(148\) | 0.391073 | + | 0.415879i | 0.0321460 | + | 0.0341851i | ||||
\(149\) | 1.28756 | − | 2.23013i | 0.105481 | − | 0.182699i | −0.808453 | − | 0.588560i | \(-0.799695\pi\) |
0.913935 | + | 0.405861i | \(0.133028\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −16.3278 | + | 9.42688i | −1.32874 | + | 0.767148i | −0.985105 | − | 0.171955i | \(-0.944992\pi\) |
−0.343635 | + | 0.939103i | \(0.611658\pi\) | |||||||
\(152\) | 2.73527 | − | 15.2921i | 0.221860 | − | 1.24035i | ||||
\(153\) | − | 2.49493i | − | 0.201703i | ||||||
\(154\) | −4.16412 | − | 3.08983i | −0.335554 | − | 0.248986i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 4.99207 | + | 21.2185i | 0.399686 | + | 1.69884i | ||||
\(157\) | 15.7955 | − | 9.11954i | 1.26062 | − | 0.727819i | 0.287425 | − | 0.957803i | \(-0.407201\pi\) |
0.973194 | + | 0.229985i | \(0.0738676\pi\) | |||||||
\(158\) | −1.67169 | − | 14.4048i | −0.132993 | − | 1.14599i | ||||
\(159\) | −6.32490 | + | 10.9551i | −0.501598 | + | 0.868793i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 8.95870 | + | 8.41147i | 0.706044 | + | 0.662917i | ||||
\(162\) | −5.79069 | + | 13.3941i | −0.454959 | + | 1.05234i | ||||
\(163\) | 8.67532 | + | 5.00870i | 0.679503 | + | 0.392311i | 0.799668 | − | 0.600443i | \(-0.205009\pi\) |
−0.120165 | + | 0.992754i | \(0.538342\pi\) | |||||||
\(164\) | −15.7229 | − | 4.73528i | −1.22775 | − | 0.369763i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.0687412 | + | 0.0924939i | 0.00533535 | + | 0.00717892i | ||||
\(167\) | −5.53046 | −0.427960 | −0.213980 | − | 0.976838i | \(-0.568643\pi\) | ||||
−0.213980 | + | 0.976838i | \(0.568643\pi\) | |||||||
\(168\) | −8.40093 | − | 11.2858i | −0.648146 | − | 0.870719i | ||||
\(169\) | −20.6053 | −1.58503 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.46848 | − | 2.54348i | −0.112297 | − | 0.194505i | ||||
\(172\) | −6.33862 | − | 1.90901i | −0.483315 | − | 0.145560i | ||||
\(173\) | −1.73252 | − | 1.00027i | −0.131721 | − | 0.0760493i | 0.432691 | − | 0.901542i | \(-0.357564\pi\) |
−0.564413 | + | 0.825493i | \(0.690897\pi\) | |||||||
\(174\) | −2.15597 | + | 4.98684i | −0.163444 | + | 0.378051i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −5.53281 | − | 0.340489i | −0.417051 | − | 0.0256654i | ||||
\(177\) | −1.56523 | + | 2.71106i | −0.117650 | + | 0.203775i | ||||
\(178\) | 0.606352 | + | 5.22488i | 0.0454480 | + | 0.391621i | ||||
\(179\) | −22.0168 | + | 12.7114i | −1.64561 | + | 0.950095i | −0.666825 | + | 0.745214i | \(0.732347\pi\) |
−0.978787 | + | 0.204880i | \(0.934320\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 12.0441i | − | 0.895227i | −0.894227 | − | 0.447614i | \(-0.852274\pi\) | ||
0.894227 | − | 0.447614i | \(-0.147726\pi\) | |||||||
\(182\) | 19.9029 | − | 8.62266i | 1.47530 | − | 0.639154i | ||||
\(183\) | 5.41858i | 0.400553i | ||||||||
\(184\) | 12.9319 | + | 2.31310i | 0.953351 | + | 0.170524i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −4.39762 | + | 0.510348i | −0.322449 | + | 0.0374205i | ||||
\(187\) | −3.23295 | + | 5.59963i | −0.236417 | + | 0.409485i | ||||
\(188\) | 0.189338 | + | 0.201348i | 0.0138089 | + | 0.0146848i | ||||
\(189\) | 11.9391 | + | 2.79931i | 0.868439 | + | 0.203620i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 16.9835 | + | 9.80543i | 1.22888 | + | 0.709496i | 0.966796 | − | 0.255548i | \(-0.0822560\pi\) |
0.262087 | + | 0.965044i | \(0.415589\pi\) | |||||||
\(192\) | −14.1081 | − | 5.21380i | −1.01817 | − | 0.376274i | ||||
\(193\) | 1.41942 | + | 2.45851i | 0.102172 | + | 0.176967i | 0.912579 | − | 0.408900i | \(-0.134087\pi\) |
−0.810407 | + | 0.585867i | \(0.800754\pi\) | |||||||
\(194\) | −4.41332 | + | 3.27997i | −0.316858 | + | 0.235488i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.57509 | + | 10.2136i | −0.683935 | + | 0.729543i | ||||
\(197\) | −10.7935 | −0.769008 | −0.384504 | − | 0.923123i | \(-0.625628\pi\) | ||||
−0.384504 | + | 0.923123i | \(0.625628\pi\) | |||||||
\(198\) | −0.841134 | + | 0.625128i | −0.0597768 | + | 0.0444259i | ||||
\(199\) | −0.713503 | − | 1.23582i | −0.0505789 | − | 0.0876052i | 0.839628 | − | 0.543163i | \(-0.182773\pi\) |
−0.890206 | + | 0.455557i | \(0.849440\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −18.9624 | − | 10.9479i | −1.33750 | − | 0.772207i | ||||
\(202\) | 13.3679 | + | 5.77940i | 0.940566 | + | 0.406637i | ||||
\(203\) | 5.26343 | + | 1.23410i | 0.369421 | + | 0.0866166i | ||||
\(204\) | −12.7808 | + | 12.0185i | −0.894838 | + | 0.841463i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −5.69466 | + | 0.660870i | −0.396765 | + | 0.0460450i | ||||
\(207\) | 2.15091 | − | 1.24183i | 0.149499 | − | 0.0863132i | ||||
\(208\) | 12.8056 | − | 19.3314i | 0.887909 | − | 1.34039i | ||||
\(209\) | 7.61144i | 0.526495i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.21343i | 0.0835359i | 0.999127 | + | 0.0417679i | \(0.0132990\pi\) | ||||
−0.999127 | + | 0.0417679i | \(0.986701\pi\) | |||||||
\(212\) | 13.0990 | − | 3.08180i | 0.899641 | − | 0.211659i | ||||
\(213\) | 3.74366 | − | 2.16140i | 0.256511 | − | 0.148097i | ||||
\(214\) | 1.26741 | + | 10.9212i | 0.0866383 | + | 0.746555i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 12.3299 | − | 4.45336i | 0.838946 | − | 0.303013i | ||||
\(217\) | 1.27361 | + | 4.21721i | 0.0864581 | + | 0.286283i | ||||
\(218\) | 4.96837 | − | 11.4920i | 0.336500 | − | 0.778337i | ||||
\(219\) | 7.59680 | + | 4.38601i | 0.513344 | + | 0.296379i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −13.5237 | − | 23.4238i | −0.909703 | − | 1.57565i | ||||
\(222\) | −0.452701 | − | 0.609127i | −0.0303833 | − | 0.0408819i | ||||
\(223\) | −25.1115 | −1.68159 | −0.840794 | − | 0.541355i | \(-0.817912\pi\) | ||||
−0.840794 | + | 0.541355i | \(0.817912\pi\) | |||||||
\(224\) | −2.62400 | + | 14.7348i | −0.175324 | + | 0.984511i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 12.5178 | + | 16.8432i | 0.832672 | + | 1.12039i | ||||
\(227\) | 9.97424 | + | 17.2759i | 0.662014 | + | 1.14664i | 0.980086 | + | 0.198575i | \(0.0636313\pi\) |
−0.318072 | + | 0.948067i | \(0.603035\pi\) | |||||||
\(228\) | −5.95563 | + | 19.7749i | −0.394422 | + | 1.30963i | ||||
\(229\) | −17.7498 | − | 10.2478i | −1.17294 | − | 0.677196i | −0.218568 | − | 0.975822i | \(-0.570138\pi\) |
−0.954370 | + | 0.298626i | \(0.903472\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 5.02545 | + | 4.71847i | 0.330650 | + | 0.310453i | ||||
\(232\) | 5.43576 | − | 1.96330i | 0.356875 | − | 0.128897i | ||||
\(233\) | 2.16542 | − | 3.75062i | 0.141861 | − | 0.245711i | −0.786336 | − | 0.617799i | \(-0.788025\pi\) |
0.928198 | + | 0.372088i | \(0.121358\pi\) | |||||||
\(234\) | −0.505358 | − | 4.35463i | −0.0330363 | − | 0.284671i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 3.24161 | − | 0.762655i | 0.211011 | − | 0.0496446i | ||||
\(237\) | 19.2786i | 1.25228i | ||||||||
\(238\) | 14.0197 | + | 10.4028i | 0.908761 | + | 0.674313i | ||||
\(239\) | − | 3.58881i | − | 0.232141i | −0.993241 | − | 0.116070i | \(-0.962970\pi\) | ||
0.993241 | − | 0.116070i | \(-0.0370298\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.749733 | + | 0.432858i | −0.0482945 | + | 0.0278829i | −0.523953 | − | 0.851747i | \(-0.675543\pi\) |
0.475658 | + | 0.879630i | \(0.342210\pi\) | |||||||
\(242\) | −12.7548 | + | 1.48020i | −0.819907 | + | 0.0951509i | ||||
\(243\) | 2.74724 | − | 4.75836i | 0.176236 | − | 0.305249i | ||||
\(244\) | 4.19920 | − | 3.94873i | 0.268826 | − | 0.252791i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 20.0373 | + | 8.66279i | 1.27753 | + | 0.552319i | ||||
\(247\) | −27.5737 | − | 15.9197i | −1.75447 | − | 1.01294i | ||||
\(248\) | 3.60022 | + | 3.03609i | 0.228614 | + | 0.192792i | ||||
\(249\) | −0.0766020 | − | 0.132679i | −0.00485445 | − | 0.00840816i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −19.8507 | −1.25297 | −0.626484 | − | 0.779434i | \(-0.715507\pi\) | ||||
−0.626484 | + | 0.779434i | \(0.715507\pi\) | |||||||
\(252\) | 1.41664 | + | 2.44938i | 0.0892398 | + | 0.154296i | ||||
\(253\) | −6.43668 | −0.404671 | ||||||||
\(254\) | −14.5740 | + | 10.8314i | −0.914455 | + | 0.679620i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.24062 | + | 14.7328i | 0.390039 | + | 0.920798i | ||||
\(257\) | 14.3600 | + | 8.29075i | 0.895752 | + | 0.517162i | 0.875819 | − | 0.482639i | \(-0.160322\pi\) |
0.0199322 | + | 0.999801i | \(0.493655\pi\) | |||||||
\(258\) | 8.07797 | + | 3.49237i | 0.502912 | + | 0.217425i | ||||
\(259\) | −0.516921 | + | 0.550551i | −0.0321199 | + | 0.0342096i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.546321 | − | 0.946256i | 0.0338164 | − | 0.0585718i | ||||
\(262\) | 4.62269 | − | 0.536467i | 0.285591 | − | 0.0331431i | ||||
\(263\) | −6.87750 | + | 3.97073i | −0.424085 | + | 0.244845i | −0.696823 | − | 0.717243i | \(-0.745404\pi\) |
0.272739 | + | 0.962088i | \(0.412071\pi\) | |||||||
\(264\) | 7.25423 | + | 1.29755i | 0.446467 | + | 0.0798589i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 20.4154 | + | 2.35345i | 1.25175 | + | 0.144300i | ||||
\(267\) | − | 6.99269i | − | 0.427946i | ||||||
\(268\) | 5.33436 | + | 22.6733i | 0.325848 | + | 1.38499i | ||||
\(269\) | 15.7337 | − | 9.08388i | 0.959303 | − | 0.553854i | 0.0633443 | − | 0.997992i | \(-0.479823\pi\) |
0.895958 | + | 0.444138i | \(0.146490\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −11.6622 | + | 20.1995i | −0.708426 | + | 1.22703i | 0.257014 | + | 0.966408i | \(0.417261\pi\) |
−0.965441 | + | 0.260623i | \(0.916072\pi\) | |||||||
\(272\) | 18.6278 | + | 1.14635i | 1.12947 | + | 0.0695079i | ||||
\(273\) | −27.6044 | + | 8.33659i | −1.67069 | + | 0.504553i | ||||
\(274\) | 11.9305 | − | 27.5958i | 0.720750 | − | 1.66712i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −16.7228 | − | 5.03643i | −1.00660 | − | 0.303158i | ||||
\(277\) | 11.5998 | + | 20.0914i | 0.696962 | + | 1.20717i | 0.969515 | + | 0.245033i | \(0.0787987\pi\) |
−0.272553 | + | 0.962141i | \(0.587868\pi\) | |||||||
\(278\) | 7.12061 | + | 9.58105i | 0.427066 | + | 0.574633i | ||||
\(279\) | 0.890362 | 0.0533046 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.57513 | −0.0939643 | −0.0469821 | − | 0.998896i | \(-0.514960\pi\) | ||||
−0.0469821 | + | 0.998896i | \(0.514960\pi\) | |||||||
\(282\) | −0.219175 | − | 0.294908i | −0.0130517 | − | 0.0175615i | ||||
\(283\) | 3.82072 | + | 6.61768i | 0.227118 | + | 0.393380i | 0.956953 | − | 0.290244i | \(-0.0937363\pi\) |
−0.729835 | + | 0.683624i | \(0.760403\pi\) | |||||||
\(284\) | −4.40315 | − | 1.32610i | −0.261279 | − | 0.0786896i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.50852 | + | 10.4284i | −0.266595 | + | 0.616643i | ||||
\(287\) | 4.95866 | − | 21.1487i | 0.292700 | − | 1.24837i | ||||
\(288\) | 2.69756 | + | 1.36866i | 0.158955 | + | 0.0806493i | ||||
\(289\) | 2.38463 | − | 4.13030i | 0.140272 | − | 0.242959i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 6.33072 | − | 3.65504i | 0.371113 | − | 0.214262i | ||||
\(292\) | −2.13708 | − | 9.08350i | −0.125063 | − | 0.531571i | ||||
\(293\) | 9.48295i | 0.554000i | 0.960870 | + | 0.277000i | \(0.0893401\pi\) | ||||
−0.960870 | + | 0.277000i | \(0.910660\pi\) | |||||||
\(294\) | 14.2097 | − | 12.0203i | 0.828729 | − | 0.701037i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −0.142150 | + | 0.794720i | −0.00826232 | + | 0.0461922i | ||||
\(297\) | −5.56262 | + | 3.21158i | −0.322776 | + | 0.186355i | ||||
\(298\) | 3.61750 | − | 0.419814i | 0.209556 | − | 0.0243192i | ||||
\(299\) | 13.4626 | − | 23.3179i | 0.778563 | − | 1.34851i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.99906 | − | 8.52601i | 0.115224 | − | 0.491431i | ||||
\(302\) | −24.4739 | − | 10.5809i | −1.40832 | − | 0.608861i | ||||
\(303\) | −16.7675 | − | 9.68071i | −0.963267 | − | 0.556142i | ||||
\(304\) | 19.6649 | − | 9.79535i | 1.12786 | − | 0.561802i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 2.83191 | − | 2.10467i | 0.161890 | − | 0.120316i | ||||
\(307\) | −26.2893 | −1.50041 | −0.750205 | − | 0.661205i | \(-0.770045\pi\) | ||||
−0.750205 | + | 0.661205i | \(0.770045\pi\) | |||||||
\(308\) | −0.00558924 | − | 7.33307i | −0.000318477 | − | 0.417840i | ||||
\(309\) | 7.62142 | 0.433567 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −15.1994 | − | 26.3262i | −0.861880 | − | 1.49282i | −0.870112 | − | 0.492853i | \(-0.835954\pi\) |
0.00823251 | − | 0.999966i | \(-0.497379\pi\) | |||||||
\(312\) | −19.8732 | + | 23.5658i | −1.12510 | + | 1.33415i | ||||
\(313\) | −2.35988 | − | 1.36248i | −0.133388 | − | 0.0770118i | 0.431821 | − | 0.901959i | \(-0.357871\pi\) |
−0.565209 | + | 0.824948i | \(0.691205\pi\) | |||||||
\(314\) | 23.6760 | + | 10.2359i | 1.33612 | + | 0.577646i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 14.9402 | − | 14.0491i | 0.840454 | − | 0.790323i | ||||
\(317\) | 5.24105 | − | 9.07776i | 0.294366 | − | 0.509858i | −0.680471 | − | 0.732775i | \(-0.738225\pi\) |
0.974837 | + | 0.222917i | \(0.0715580\pi\) | |||||||
\(318\) | −17.7703 | + | 2.06226i | −0.996507 | + | 0.115646i | ||||
\(319\) | −2.45233 | + | 1.41585i | −0.137304 | + | 0.0792725i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 14.6163i | − | 0.815801i | ||||||
\(322\) | −1.99022 | + | 17.2644i | −0.110911 | + | 0.962110i | ||||
\(323\) | − | 25.6261i | − | 1.42587i | ||||||
\(324\) | −20.0880 | + | 4.72612i | −1.11600 | + | 0.262562i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 1.63310 | + | 14.0723i | 0.0904491 | + | 0.779392i | ||||
\(327\) | −8.32221 | + | 14.4145i | −0.460219 | + | 0.797123i | ||||
\(328\) | −7.88863 | − | 21.8411i | −0.435577 | − | 1.20597i | ||||
\(329\) | −0.250267 | + | 0.266549i | −0.0137977 | + | 0.0146953i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.6909 | − | 6.17239i | −0.587625 | − | 0.339265i | 0.176533 | − | 0.984295i | \(-0.443512\pi\) |
−0.764158 | + | 0.645030i | \(0.776845\pi\) | |||||||
\(332\) | −0.0469982 | + | 0.156052i | −0.00257936 | + | 0.00856445i | ||||
\(333\) | 0.0763159 | + | 0.132183i | 0.00418208 | + | 0.00724358i | ||||
\(334\) | −4.66538 | − | 6.27745i | −0.255278 | − | 0.343487i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 5.72330 | − | 19.0561i | 0.312231 | − | 1.03959i | ||||
\(337\) | −6.54017 | −0.356266 | −0.178133 | − | 0.984006i | \(-0.557006\pi\) | ||||
−0.178133 | + | 0.984006i | \(0.557006\pi\) | |||||||
\(338\) | −17.3822 | − | 23.3884i | −0.945467 | − | 1.27216i | ||||
\(339\) | −13.9493 | − | 24.1608i | −0.757620 | − | 1.31224i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.99833 | − | 1.15374i | −0.108216 | − | 0.0624783i | ||||
\(342\) | 1.64824 | − | 3.81244i | 0.0891267 | − | 0.206153i | ||||
\(343\) | −14.2729 | − | 11.8019i | −0.770661 | − | 0.637245i | ||||
\(344\) | −3.18027 | − | 8.80515i | −0.171468 | − | 0.474742i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.326142 | − | 2.81033i | −0.0175335 | − | 0.151085i | ||||
\(347\) | 30.4869 | − | 17.6016i | 1.63662 | − | 0.944903i | 0.654636 | − | 0.755945i | \(-0.272822\pi\) |
0.981985 | − | 0.188959i | \(-0.0605113\pi\) | |||||||
\(348\) | −7.47912 | + | 1.75962i | −0.400923 | + | 0.0943253i | ||||
\(349\) | − | 11.2696i | − | 0.603247i | −0.953427 | − | 0.301623i | \(-0.902472\pi\) | ||
0.953427 | − | 0.301623i | \(-0.0975285\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 26.8687i | − | 1.43414i | ||||||
\(352\) | −4.28088 | − | 6.56734i | −0.228172 | − | 0.350040i | ||||
\(353\) | 10.2236 | − | 5.90260i | 0.544148 | − | 0.314164i | −0.202611 | − | 0.979259i | \(-0.564943\pi\) |
0.746758 | + | 0.665096i | \(0.231609\pi\) | |||||||
\(354\) | −4.39762 | + | 0.510348i | −0.233731 | + | 0.0271247i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −5.41908 | + | 5.09584i | −0.287211 | + | 0.270079i | ||||
\(357\) | −16.9196 | − | 15.8861i | −0.895479 | − | 0.840780i | ||||
\(358\) | −33.0012 | − | 14.2675i | −1.74417 | − | 0.754059i | ||||
\(359\) | 13.9275 | + | 8.04106i | 0.735066 | + | 0.424391i | 0.820273 | − | 0.571973i | \(-0.193822\pi\) |
−0.0852064 | + | 0.996363i | \(0.527155\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.58309 | − | 9.67020i | −0.293847 | − | 0.508958i | ||||
\(362\) | 13.6708 | − | 10.1601i | 0.718521 | − | 0.534003i | ||||
\(363\) | 17.0703 | 0.895957 | ||||||||
\(364\) | 26.5769 | + | 15.3172i | 1.39301 | + | 0.802839i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −6.15045 | + | 4.57100i | −0.321489 | + | 0.238930i | ||||
\(367\) | 15.1931 | + | 26.3153i | 0.793075 | + | 1.37365i | 0.924054 | + | 0.382262i | \(0.124855\pi\) |
−0.130979 | + | 0.991385i | \(0.541812\pi\) | |||||||
\(368\) | 8.28352 | + | 16.6298i | 0.431809 | + | 0.866890i | ||||
\(369\) | −3.80210 | − | 2.19514i | −0.197929 | − | 0.114275i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 5.14650 | + | 17.0412i | 0.267193 | + | 0.884738i | ||||
\(372\) | −4.28902 | − | 4.56108i | −0.222375 | − | 0.236481i | ||||
\(373\) | −9.82168 | + | 17.0117i | −0.508547 | + | 0.880830i | 0.491404 | + | 0.870932i | \(0.336484\pi\) |
−0.999951 | + | 0.00989806i | \(0.996849\pi\) | |||||||
\(374\) | −9.08319 | + | 1.05411i | −0.469681 | + | 0.0545069i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.0688220 | + | 0.384763i | −0.00354922 | + | 0.0198427i | ||||
\(377\) | − | 11.8453i | − | 0.610063i | ||||||
\(378\) | 6.89413 | + | 15.9131i | 0.354596 | + | 0.818480i | ||||
\(379\) | 18.7575i | 0.963507i | 0.876307 | + | 0.481754i | \(0.160000\pi\) | ||||
−0.876307 | + | 0.481754i | \(0.840000\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 20.9058 | − | 12.0700i | 1.07104 | − | 0.618363i | ||||
\(382\) | 3.19709 | + | 27.5490i | 0.163577 | + | 1.40953i | ||||
\(383\) | −8.81632 | + | 15.2703i | −0.450493 | + | 0.780277i | −0.998417 | − | 0.0562516i | \(-0.982085\pi\) |
0.547924 | + | 0.836528i | \(0.315418\pi\) | |||||||
\(384\) | −5.98329 | − | 20.4119i | −0.305333 | − | 1.04164i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −1.59318 | + | 3.68508i | −0.0810906 | + | 0.187565i | ||||
\(387\) | −1.53280 | − | 0.884963i | −0.0779166 | − | 0.0449852i | ||||
\(388\) | −7.44596 | − | 2.24251i | −0.378011 | − | 0.113846i | ||||
\(389\) | 0.464820 | + | 0.805092i | 0.0235673 | + | 0.0408198i | 0.877569 | − | 0.479451i | \(-0.159164\pi\) |
−0.854001 | + | 0.520271i | \(0.825831\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 21.6709 | 1.09595 | ||||||||
\(392\) | −19.6705 | − | 2.25239i | −0.993508 | − | 0.113763i | ||||
\(393\) | −6.18676 | −0.312081 | ||||||||
\(394\) | −9.10519 | − | 12.2514i | −0.458713 | − | 0.617216i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −1.41912 | − | 0.427399i | −0.0713137 | − | 0.0214776i | ||||
\(397\) | −22.1790 | − | 12.8051i | −1.11313 | − | 0.642668i | −0.173494 | − | 0.984835i | \(-0.555506\pi\) |
−0.939639 | + | 0.342167i | \(0.888839\pi\) | |||||||
\(398\) | 0.800847 | − | 1.85239i | 0.0401428 | − | 0.0928518i | ||||
\(399\) | −26.5991 | − | 6.23658i | −1.33162 | − | 0.312220i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 1.45666 | − | 2.52300i | 0.0727420 | − | 0.125993i | −0.827360 | − | 0.561672i | \(-0.810158\pi\) |
0.900102 | + | 0.435679i | \(0.143492\pi\) | |||||||
\(402\) | −3.56961 | − | 30.7590i | −0.178036 | − | 1.53412i | ||||
\(403\) | 8.35919 | − | 4.82618i | 0.416401 | − | 0.240409i | ||||
\(404\) | 4.71691 | + | 20.0489i | 0.234675 | + | 0.997469i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.03933 | + | 7.01541i | 0.150840 | + | 0.348169i | ||||
\(407\) | − | 0.395562i | − | 0.0196073i | ||||||
\(408\) | −24.4234 | − | 4.36858i | −1.20914 | − | 0.216277i | ||||
\(409\) | −29.1390 | + | 16.8234i | −1.44083 | + | 0.831864i | −0.997905 | − | 0.0646940i | \(-0.979393\pi\) |
−0.442926 | + | 0.896558i | \(0.646060\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −19.9841 | + | 34.6135i | −0.985743 | + | 1.70736i | ||||
\(412\) | −5.55402 | − | 5.90632i | −0.273627 | − | 0.290983i | ||||
\(413\) | 1.27361 | + | 4.21721i | 0.0626701 | + | 0.207515i | ||||
\(414\) | 3.22402 | + | 1.39385i | 0.158452 | + | 0.0685040i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 32.7449 | − | 1.77230i | 1.60545 | − | 0.0868940i | ||||
\(417\) | −7.93488 | − | 13.7436i | −0.388573 | − | 0.673027i | ||||
\(418\) | −8.63950 | + | 6.42085i | −0.422572 | + | 0.314054i | ||||
\(419\) | −12.2683 | −0.599345 | −0.299672 | − | 0.954042i | \(-0.596877\pi\) | ||||
−0.299672 | + | 0.954042i | \(0.596877\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9.36160 | −0.456257 | −0.228128 | − | 0.973631i | \(-0.573261\pi\) | ||||
−0.228128 | + | 0.973631i | \(0.573261\pi\) | |||||||
\(422\) | −1.37732 | + | 1.02362i | −0.0670470 | + | 0.0498291i | ||||
\(423\) | 0.0369483 | + | 0.0639963i | 0.00179649 | + | 0.00311161i | ||||
\(424\) | 14.5480 | + | 12.2685i | 0.706515 | + | 0.595809i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 5.61140 | + | 2.42599i | 0.271873 | + | 0.117540i | ||||
\(427\) | 5.55900 | + | 5.21944i | 0.269019 | + | 0.252586i | ||||
\(428\) | −11.3271 | + | 10.6514i | −0.547515 | + | 0.514857i | ||||
\(429\) | 7.55195 | − | 13.0804i | 0.364612 | − | 0.631526i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 21.0179 | − | 12.1347i | 1.01240 | − | 0.584509i | 0.100506 | − | 0.994936i | \(-0.467954\pi\) |
0.911893 | + | 0.410428i | \(0.134621\pi\) | |||||||
\(432\) | 15.4561 | + | 10.2385i | 0.743633 | + | 0.492602i | ||||
\(433\) | 3.00004i | 0.144172i | 0.997398 | + | 0.0720862i | \(0.0229657\pi\) | ||||
−0.997398 | + | 0.0720862i | \(0.977034\pi\) | |||||||
\(434\) | −3.71243 | + | 5.00318i | −0.178202 | + | 0.240160i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 17.2354 | − | 4.05498i | 0.825426 | − | 0.194198i | ||||
\(437\) | 22.0926 | − | 12.7552i | 1.05683 | − | 0.610162i | ||||
\(438\) | 1.43007 | + | 12.3228i | 0.0683316 | + | 0.588807i | ||||
\(439\) | −7.17918 | + | 12.4347i | −0.342644 | + | 0.593476i | −0.984923 | − | 0.172995i | \(-0.944656\pi\) |
0.642279 | + | 0.766471i | \(0.277989\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.11741 | + | 2.07190i | −0.148448 | + | 0.0986619i | ||||
\(442\) | 15.1792 | − | 35.1101i | 0.722002 | − | 1.67002i | ||||
\(443\) | 13.3394 | + | 7.70151i | 0.633775 | + | 0.365910i | 0.782212 | − | 0.623012i | \(-0.214091\pi\) |
−0.148438 | + | 0.988922i | \(0.547424\pi\) | |||||||
\(444\) | 0.309511 | − | 1.02769i | 0.0146887 | − | 0.0487721i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −21.1835 | − | 28.5032i | −1.00307 | − | 1.34967i | ||||
\(447\) | −4.84147 | −0.228994 | ||||||||
\(448\) | −18.9385 | + | 9.45154i | −0.894762 | + | 0.446543i | ||||
\(449\) | 26.4360 | 1.24759 | 0.623797 | − | 0.781586i | \(-0.285589\pi\) | ||||
0.623797 | + | 0.781586i | \(0.285589\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.68896 | + | 9.85356i | 0.267883 | + | 0.463986i | ||||
\(452\) | −8.55840 | + | 28.4171i | −0.402553 | + | 1.33663i | ||||
\(453\) | 30.6978 | + | 17.7234i | 1.44231 | + | 0.832716i | ||||
\(454\) | −11.1952 | + | 25.8950i | −0.525419 | + | 1.21531i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −27.4699 | + | 9.92166i | −1.28640 | + | 0.464624i | ||||
\(457\) | −18.8435 | + | 32.6378i | −0.881460 | + | 1.52673i | −0.0317424 | + | 0.999496i | \(0.510106\pi\) |
−0.849718 | + | 0.527238i | \(0.823228\pi\) | |||||||
\(458\) | −3.34134 | − | 28.7920i | −0.156131 | − | 1.34536i | ||||
\(459\) | 18.7281 | − | 10.8127i | 0.874155 | − | 0.504693i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 3.61152i | 0.168205i | 0.996457 | + | 0.0841027i | \(0.0268024\pi\) | ||||
−0.996457 | + | 0.0841027i | \(0.973198\pi\) | |||||||
\(462\) | −1.11643 | + | 9.68462i | −0.0519409 | + | 0.450569i | ||||
\(463\) | 27.6093i | 1.28311i | 0.767076 | + | 0.641556i | \(0.221711\pi\) | ||||
−0.767076 | + | 0.641556i | \(0.778289\pi\) | |||||||
\(464\) | 6.81396 | + | 4.51375i | 0.316330 | + | 0.209545i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.08391 | − | 0.706043i | 0.281831 | − | 0.0327068i | ||||
\(467\) | 0.657053 | − | 1.13805i | 0.0304048 | − | 0.0526626i | −0.850423 | − | 0.526100i | \(-0.823654\pi\) |
0.880827 | + | 0.473438i | \(0.156987\pi\) | |||||||
\(468\) | 4.51648 | − | 4.24708i | 0.208775 | − | 0.196322i | ||||
\(469\) | −29.4971 | + | 8.90819i | −1.36205 | + | 0.411342i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −29.6970 | − | 17.1455i | −1.36836 | − | 0.790025i | ||||
\(472\) | 3.60022 | + | 3.03609i | 0.165713 | + | 0.139747i | ||||
\(473\) | 2.29348 | + | 3.97242i | 0.105454 | + | 0.182652i | ||||
\(474\) | −21.8826 | + | 16.2630i | −1.00510 | + | 0.746986i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0.0188178 | + | 24.6888i | 0.000862511 | + | 1.13161i | ||||
\(477\) | 3.59785 | 0.164734 | ||||||||
\(478\) | 4.07354 | − | 3.02744i | 0.186319 | − | 0.138472i | ||||
\(479\) | 9.32551 | + | 16.1523i | 0.426093 | + | 0.738015i | 0.996522 | − | 0.0833320i | \(-0.0265562\pi\) |
−0.570429 | + | 0.821347i | \(0.693223\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.43299 | + | 0.827336i | 0.0653386 | + | 0.0377233i | ||||
\(482\) | −1.12378 | − | 0.485847i | −0.0511868 | − | 0.0221297i | ||||
\(483\) | 5.27402 | − | 22.4937i | 0.239976 | − | 1.02350i | ||||
\(484\) | −12.4398 | − | 13.2288i | −0.565443 | − | 0.601311i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 7.71857 | − | 0.895747i | 0.350121 | − | 0.0406319i | ||||
\(487\) | 8.89500 | − | 5.13553i | 0.403071 | − | 0.232713i | −0.284737 | − | 0.958606i | \(-0.591906\pi\) |
0.687808 | + | 0.725892i | \(0.258573\pi\) | |||||||
\(488\) | 8.02442 | + | 1.43532i | 0.363249 | + | 0.0649737i | ||||
\(489\) | − | 18.8336i | − | 0.851684i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 21.0407i | 0.949553i | 0.880106 | + | 0.474776i | \(0.157471\pi\) | ||||
−0.880106 | + | 0.474776i | \(0.842529\pi\) | |||||||
\(492\) | 7.07022 | + | 30.0515i | 0.318750 | + | 1.35482i | ||||
\(493\) | 8.25645 | − | 4.76687i | 0.371852 | − | 0.214689i | ||||
\(494\) | −5.19066 | − | 44.7275i | −0.233539 | − | 2.01238i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.409097 | + | 6.64766i | −0.0183690 | + | 0.298489i | ||||
\(497\) | 1.38866 | − | 5.92264i | 0.0622898 | − | 0.265667i | ||||
\(498\) | 0.0859792 | − | 0.198873i | 0.00385282 | − | 0.00891171i | ||||
\(499\) | 18.2670 | + | 10.5465i | 0.817744 | + | 0.472125i | 0.849638 | − | 0.527366i | \(-0.176820\pi\) |
−0.0318936 | + | 0.999491i | \(0.510154\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 5.19888 | + | 9.00473i | 0.232269 | + | 0.402302i | ||||
\(502\) | −16.7456 | − | 22.5319i | −0.747395 | − | 1.00565i | ||||
\(503\) | −3.01250 | −0.134321 | −0.0671605 | − | 0.997742i | \(-0.521394\pi\) | ||||
−0.0671605 | + | 0.997742i | \(0.521394\pi\) | |||||||
\(504\) | −1.58516 | + | 3.67422i | −0.0706086 | + | 0.163663i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −5.42984 | − | 7.30607i | −0.241386 | − | 0.324794i | ||||
\(507\) | 19.3699 | + | 33.5497i | 0.860249 | + | 1.48999i | ||||
\(508\) | −24.5886 | − | 7.40538i | −1.09094 | − | 0.328561i | ||||
\(509\) | 11.2920 | + | 6.51942i | 0.500508 | + | 0.288968i | 0.728923 | − | 0.684595i | \(-0.240021\pi\) |
−0.228415 | + | 0.973564i | \(0.573354\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 11.8173 | − | 3.56885i | 0.522766 | − | 0.157876i | ||||
\(512\) | −11.4582 | + | 19.5118i | −0.506387 | + | 0.862306i | ||||
\(513\) | 12.7284 | − | 22.0462i | 0.561971 | − | 0.973362i | ||||
\(514\) | 2.70322 | + | 23.2934i | 0.119234 | + | 1.02743i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 2.85033 | + | 12.1151i | 0.125479 | + | 0.533338i | ||||
\(517\) | − | 0.191511i | − | 0.00842265i | ||||||
\(518\) | −1.06098 | − | 0.122308i | −0.0466166 | − | 0.00537389i | ||||
\(519\) | 3.76120i | 0.165098i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −17.6924 | + | 10.2147i | −0.775116 | + | 0.447514i | −0.834697 | − | 0.550710i | \(-0.814357\pi\) |
0.0595804 | + | 0.998224i | \(0.481024\pi\) | |||||||
\(522\) | 1.53493 | − | 0.178130i | 0.0671820 | − | 0.00779653i | ||||
\(523\) | 17.0061 | − | 29.4555i | 0.743626 | − | 1.28800i | −0.207208 | − | 0.978297i | \(-0.566438\pi\) |
0.950834 | − | 0.309701i | \(-0.100229\pi\) | |||||||
\(524\) | 4.50852 | + | 4.79451i | 0.196956 | + | 0.209449i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −10.3087 | − | 4.45680i | −0.449483 | − | 0.194326i | ||||
\(527\) | 6.72794 | + | 3.88438i | 0.293074 | + | 0.169206i | ||||
\(528\) | 4.64670 | + | 9.32863i | 0.202222 | + | 0.405976i | ||||
\(529\) | −0.713494 | − | 1.23581i | −0.0310215 | − | 0.0537308i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.890362 | 0.0386384 | ||||||||
\(532\) | 14.5506 | + | 25.1581i | 0.630850 | + | 1.09074i | ||||
\(533\) | −47.5948 | −2.06156 | ||||||||
\(534\) | 7.93717 | − | 5.89888i | 0.343475 | − | 0.255270i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −21.2358 | + | 25.1815i | −0.917245 | + | 1.08768i | ||||
\(537\) | 41.3935 | + | 23.8986i | 1.78626 | + | 1.03130i | ||||
\(538\) | 23.5834 | + | 10.1959i | 1.01675 | + | 0.439576i | ||||
\(539\) | 9.68150 | − | 0.610616i | 0.417012 | − | 0.0263011i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −20.5137 | + | 35.5309i | −0.881955 | + | 1.52759i | −0.0327904 | + | 0.999462i | \(0.510439\pi\) |
−0.849165 | + | 0.528128i | \(0.822894\pi\) | |||||||
\(542\) | −32.7657 | + | 3.80249i | −1.40741 | + | 0.163331i | ||||
\(543\) | −19.6102 | + | 11.3219i | −0.841553 | + | 0.485871i | ||||
\(544\) | 14.4128 | + | 22.1108i | 0.617943 | + | 0.947993i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −32.7490 | − | 24.3003i | −1.40153 | − | 1.03996i | ||||
\(547\) | − | 32.3049i | − | 1.38126i | −0.723209 | − | 0.690629i | \(-0.757334\pi\) | ||
0.723209 | − | 0.690629i | \(-0.242666\pi\) | |||||||
\(548\) | 41.3874 | − | 9.73722i | 1.76798 | − | 0.415953i | ||||
\(549\) | 1.33467 | − | 0.770574i | 0.0569625 | − | 0.0328873i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 5.61140 | − | 9.71923i | 0.239054 | − | 0.414053i | ||||
\(552\) | −8.39034 | − | 23.2302i | −0.357116 | − | 0.988742i | ||||
\(553\) | 19.7782 | + | 18.5701i | 0.841057 | + | 0.789682i | ||||
\(554\) | −13.0197 | + | 30.1151i | −0.553156 | + | 1.27947i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.86835 | + | 16.1647i | −0.206464 | + | 0.685537i | ||||
\(557\) | −2.59501 | − | 4.49470i | −0.109954 | − | 0.190446i | 0.805797 | − | 0.592192i | \(-0.201737\pi\) |
−0.915752 | + | 0.401745i | \(0.868404\pi\) | |||||||
\(558\) | 0.751090 | + | 1.01062i | 0.0317962 | + | 0.0427830i | ||||
\(559\) | −19.1877 | −0.811551 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 12.1565 | 0.513246 | ||||||||
\(562\) | −1.32874 | − | 1.78788i | −0.0560497 | − | 0.0754170i | ||||
\(563\) | 14.1225 | + | 24.4608i | 0.595190 | + | 1.03090i | 0.993520 | + | 0.113658i | \(0.0362567\pi\) |
−0.398330 | + | 0.917242i | \(0.630410\pi\) | |||||||
\(564\) | 0.149849 | − | 0.497556i | 0.00630980 | − | 0.0209509i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −4.28843 | + | 9.91930i | −0.180256 | + | 0.416939i | ||||
\(567\) | −7.89246 | − | 26.1338i | −0.331452 | − | 1.09752i | ||||
\(568\) | −2.20919 | − | 6.11654i | −0.0926955 | − | 0.256644i | ||||
\(569\) | −15.3058 | + | 26.5104i | −0.641651 | + | 1.11137i | 0.343413 | + | 0.939184i | \(0.388417\pi\) |
−0.985064 | + | 0.172188i | \(0.944916\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.43282 | + | 0.827239i | −0.0599617 | + | 0.0346189i | −0.529681 | − | 0.848197i | \(-0.677688\pi\) |
0.469719 | + | 0.882816i | \(0.344355\pi\) | |||||||
\(572\) | −15.6402 | + | 3.67967i | −0.653949 | + | 0.153855i | ||||
\(573\) | − | 36.8702i | − | 1.54027i | ||||||
\(574\) | 28.1882 | − | 12.2122i | 1.17655 | − | 0.509727i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.722076 | + | 4.21648i | 0.0300865 | + | 0.175687i | ||||
\(577\) | 18.4801 | − | 10.6695i | 0.769335 | − | 0.444176i | −0.0633023 | − | 0.997994i | \(-0.520163\pi\) |
0.832637 | + | 0.553819i | \(0.186830\pi\) | |||||||
\(578\) | 6.69978 | − | 0.777515i | 0.278674 | − | 0.0323404i | ||||
\(579\) | 2.66863 | − | 4.62221i | 0.110905 | − | 0.192092i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.209904 | − | 0.0492153i | −0.00870827 | − | 0.00204179i | ||||
\(582\) | 9.48917 | + | 4.10248i | 0.393339 | + | 0.170053i | ||||
\(583\) | −8.07501 | − | 4.66211i | −0.334433 | − | 0.193085i | ||||
\(584\) | 8.50758 | − | 10.0884i | 0.352046 | − | 0.417459i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −10.7638 | + | 7.99960i | −0.444647 | + | 0.330461i | ||||
\(587\) | −19.5450 | −0.806710 | −0.403355 | − | 0.915044i | \(-0.632156\pi\) | ||||
−0.403355 | + | 0.915044i | \(0.632156\pi\) | |||||||
\(588\) | 25.6308 | + | 5.98896i | 1.05700 | + | 0.246980i | ||||
\(589\) | 9.14513 | 0.376818 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 10.1464 | + | 17.5741i | 0.417367 | + | 0.722902i | ||||
\(592\) | −1.02198 | + | 0.509059i | −0.0420029 | + | 0.0209222i | ||||
\(593\) | −22.2662 | − | 12.8554i | −0.914362 | − | 0.527907i | −0.0325303 | − | 0.999471i | \(-0.510357\pi\) |
−0.881832 | + | 0.471563i | \(0.843690\pi\) | |||||||
\(594\) | −8.33787 | − | 3.60473i | −0.342107 | − | 0.147904i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.52816 | + | 3.75196i | 0.144519 | + | 0.153686i | ||||
\(597\) | −1.34145 | + | 2.32346i | −0.0549018 | + | 0.0950928i | ||||
\(598\) | 37.8242 | − | 4.38953i | 1.54675 | − | 0.179501i | ||||
\(599\) | −22.2773 | + | 12.8618i | −0.910225 | + | 0.525518i | −0.880503 | − | 0.474040i | \(-0.842795\pi\) |
−0.0297211 | + | 0.999558i | \(0.509462\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 12.5087i | − | 0.510239i | −0.966909 | − | 0.255120i | \(-0.917885\pi\) | ||
0.966909 | − | 0.255120i | \(-0.0821149\pi\) | |||||||
\(602\) | 11.3640 | − | 4.92329i | 0.463160 | − | 0.200658i | ||||
\(603\) | 6.22760i | 0.253607i | ||||||||
\(604\) | −8.63568 | − | 36.7053i | −0.351381 | − | 1.49352i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −3.15643 | − | 27.1986i | −0.128221 | − | 1.10487i | ||||
\(607\) | −11.1358 | + | 19.2877i | −0.451987 | + | 0.782865i | −0.998509 | − | 0.0545800i | \(-0.982618\pi\) |
0.546522 | + | 0.837445i | \(0.315951\pi\) | |||||||
\(608\) | 27.7073 | + | 14.0579i | 1.12368 | + | 0.570122i | ||||
\(609\) | −2.93850 | − | 9.73005i | −0.119074 | − | 0.394282i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.693780 | + | 0.400554i | 0.0280673 | + | 0.0162047i | ||||
\(612\) | 4.77788 | + | 1.43896i | 0.193134 | + | 0.0581665i | ||||
\(613\) | −12.3373 | − | 21.3688i | −0.498298 | − | 0.863078i | 0.501700 | − | 0.865042i | \(-0.332708\pi\) |
−0.999998 | + | 0.00196375i | \(0.999375\pi\) | |||||||
\(614\) | −22.1771 | − | 29.8401i | −0.894994 | − | 1.20425i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 8.31881 | − | 6.19236i | 0.335174 | − | 0.249497i | ||||
\(617\) | 0.570871 | 0.0229824 | 0.0114912 | − | 0.999934i | \(-0.496342\pi\) | ||||
0.0114912 | + | 0.999934i | \(0.496342\pi\) | |||||||
\(618\) | 6.42926 | + | 8.65082i | 0.258623 | + | 0.347987i | ||||
\(619\) | 18.6506 | + | 32.3038i | 0.749630 | + | 1.29840i | 0.948000 | + | 0.318271i | \(0.103102\pi\) |
−0.198370 | + | 0.980127i | \(0.563565\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 18.6435 | + | 10.7639i | 0.748139 | + | 0.431938i | ||||
\(622\) | 17.0601 | − | 39.4605i | 0.684046 | − | 1.58222i | ||||
\(623\) | −7.17391 | − | 6.73570i | −0.287416 | − | 0.269860i | ||||
\(624\) | −43.5133 | − | 2.67781i | −1.74192 | − | 0.107198i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −0.444240 | − | 3.82798i | −0.0177554 | − | 0.152997i | ||||
\(627\) | 12.3930 | − | 7.15509i | 0.494928 | − | 0.285747i | ||||
\(628\) | 8.35414 | + | 35.5087i | 0.333366 | + | 1.41695i | ||||
\(629\) | 1.33177i | 0.0531012i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.05636i | 0.121672i | 0.998148 | + | 0.0608359i | \(0.0193766\pi\) | ||||
−0.998148 | + | 0.0608359i | \(0.980623\pi\) | |||||||
\(632\) | 28.5499 | + | 5.10667i | 1.13565 | + | 0.203133i | ||||
\(633\) | 1.97571 | − | 1.14068i | 0.0785274 | − | 0.0453378i | ||||
\(634\) | 14.7251 | − | 1.70886i | 0.584808 | − | 0.0678675i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −17.3314 | − | 18.4308i | −0.687235 | − | 0.730827i | ||||
\(637\) | −18.0372 | + | 36.3500i | −0.714662 | + | 1.44024i | ||||
\(638\) | −3.67582 | − | 1.58917i | −0.145527 | − | 0.0629160i | ||||
\(639\) | −1.06477 | − | 0.614744i | −0.0421216 | − | 0.0243189i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 15.8964 | + | 27.5333i | 0.627869 | + | 1.08750i | 0.987979 | + | 0.154591i | \(0.0494059\pi\) |
−0.360110 | + | 0.932910i | \(0.617261\pi\) | |||||||
\(642\) | 16.5905 | − | 12.3300i | 0.654773 | − | 0.486625i | ||||
\(643\) | −2.73243 | −0.107756 | −0.0538782 | − | 0.998548i | \(-0.517158\pi\) | ||||
−0.0538782 | + | 0.998548i | \(0.517158\pi\) | |||||||
\(644\) | −21.2752 | + | 12.3049i | −0.838361 | + | 0.484880i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 29.0873 | − | 21.6176i | 1.14442 | − | 0.850533i | ||||
\(647\) | −14.1630 | − | 24.5311i | −0.556805 | − | 0.964415i | −0.997761 | − | 0.0668861i | \(-0.978694\pi\) |
0.440955 | − | 0.897529i | \(-0.354640\pi\) | |||||||
\(648\) | −22.3103 | − | 18.8144i | −0.876431 | − | 0.739100i | ||||
\(649\) | −1.99833 | − | 1.15374i | −0.0784413 | − | 0.0452881i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 5.66923 | − | 6.03806i | 0.222195 | − | 0.236650i | ||||
\(652\) | −14.5953 | + | 13.7248i | −0.571598 | + | 0.537503i | ||||
\(653\) | 4.06833 | − | 7.04655i | 0.159206 | − | 0.275753i | −0.775377 | − | 0.631499i | \(-0.782440\pi\) |
0.934583 | + | 0.355746i | \(0.115773\pi\) | |||||||
\(654\) | −23.3818 | + | 2.71348i | −0.914302 | + | 0.106106i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 18.1364 | − | 27.3788i | 0.708109 | − | 1.06896i | ||||
\(657\) | − | 2.49493i | − | 0.0973366i | ||||||
\(658\) | −0.513670 | − | 0.0592152i | −0.0200250 | − | 0.00230845i | ||||
\(659\) | − | 45.7747i | − | 1.78313i | −0.452894 | − | 0.891565i | \(-0.649608\pi\) | ||
0.452894 | − | 0.891565i | \(-0.350392\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −21.6199 | + | 12.4823i | −0.840918 | + | 0.485504i | −0.857576 | − | 0.514357i | \(-0.828031\pi\) |
0.0166580 | + | 0.999861i | \(0.494697\pi\) | |||||||
\(662\) | −2.01253 | − | 17.3418i | −0.0782191 | − | 0.674007i | ||||
\(663\) | −25.4258 | + | 44.0387i | −0.987455 | + | 1.71032i | ||||
\(664\) | −0.216776 | + | 0.0782956i | −0.00841253 | + | 0.00303846i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.0856581 | + | 0.198130i | −0.00331918 | + | 0.00767739i | ||||
\(667\) | 8.21916 | + | 4.74533i | 0.318247 | + | 0.183740i | ||||
\(668\) | 3.18971 | − | 10.5910i | 0.123414 | − | 0.409779i | ||||
\(669\) | 23.6059 | + | 40.8866i | 0.912657 | + | 1.58077i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −3.99406 | −0.154189 | ||||||||
\(672\) | 26.4580 | − | 9.57896i | 1.02064 | − | 0.369516i | ||||
\(673\) | 16.4406 | 0.633739 | 0.316870 | − | 0.948469i | \(-0.397368\pi\) | ||||
0.316870 | + | 0.948469i | \(0.397368\pi\) | |||||||
\(674\) | −5.51714 | − | 7.42352i | −0.212512 | − | 0.285943i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 11.8842 | − | 39.4599i | 0.457084 | − | 1.51769i | ||||
\(677\) | −4.01299 | − | 2.31690i | −0.154232 | − | 0.0890458i | 0.420898 | − | 0.907108i | \(-0.361715\pi\) |
−0.575130 | + | 0.818062i | \(0.695048\pi\) | |||||||
\(678\) | 15.6569 | − | 36.2149i | 0.601299 | − | 1.39082i | ||||
\(679\) | 2.34829 | − | 10.0155i | 0.0901192 | − | 0.384359i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 18.7525 | − | 32.4802i | 0.718596 | − | 1.24464i | ||||
\(682\) | −0.376179 | − | 3.24150i | −0.0144046 | − | 0.124124i | ||||
\(683\) | 37.1863 | − | 21.4695i | 1.42289 | − | 0.821508i | 0.426348 | − | 0.904559i | \(-0.359800\pi\) |
0.996545 | + | 0.0830518i | \(0.0264667\pi\) | |||||||
\(684\) | 5.71779 | − | 1.34523i | 0.218625 | − | 0.0514361i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 1.35573 | − | 26.1565i | 0.0517618 | − | 0.998659i | ||||
\(687\) | 38.5337i | 1.47015i | ||||||||
\(688\) | 7.31163 | − | 11.0376i | 0.278753 | − | 0.420806i | ||||
\(689\) | 33.7785 | − | 19.5020i | 1.28686 | − | 0.742968i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 20.2222 | − | 35.0258i | 0.769287 | − | 1.33244i | −0.168663 | − | 0.985674i | \(-0.553945\pi\) |
0.937950 | − | 0.346771i | \(-0.112722\pi\) | |||||||
\(692\) | 2.91479 | − | 2.74093i | 0.110804 | − | 0.104194i | ||||
\(693\) | 0.447561 | − | 1.90885i | 0.0170014 | − | 0.0725112i | ||||
\(694\) | 45.6970 | + | 19.7563i | 1.73464 | + | 0.749939i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −8.30651 | − | 7.00493i | −0.314857 | − | 0.265521i | ||||
\(697\) | −19.1535 | − | 33.1748i | −0.725490 | − | 1.25658i | ||||
\(698\) | 12.7917 | − | 9.50676i | 0.484174 | − | 0.359836i | ||||
\(699\) | −8.14237 | −0.307973 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 30.8942 | 1.16686 | 0.583429 | − | 0.812164i | \(-0.301711\pi\) | ||||
0.583429 | + | 0.812164i | \(0.301711\pi\) | |||||||
\(702\) | 30.4977 | − | 22.6658i | 1.15106 | − | 0.855467i | ||||
\(703\) | 0.783859 | + | 1.35768i | 0.0295638 | + | 0.0512060i | ||||
\(704\) | 3.84311 | − | 10.3991i | 0.144843 | − | 0.391933i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 15.3243 | + | 6.62517i | 0.576736 | + | 0.249342i | ||||
\(707\) | −26.0828 | + | 7.87708i | −0.980946 | + | 0.296248i | ||||
\(708\) | −4.28902 | − | 4.56108i | −0.161191 | − | 0.171416i | ||||
\(709\) | −21.6586 | + | 37.5139i | −0.813407 | + | 1.40886i | 0.0970588 | + | 0.995279i | \(0.469057\pi\) |
−0.910466 | + | 0.413584i | \(0.864277\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.74860 | − | 2.74161i | 0.178087 | − | 0.102818i | ||||
\(712\) | −10.3555 | − | 1.85228i | −0.388090 | − | 0.0694170i | ||||
\(713\) | 7.73366i | 0.289628i | ||||||||
\(714\) | 3.75877 | − | 32.6060i | 0.140668 | − | 1.22025i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −11.6445 | − | 49.4942i | −0.435176 | − | 1.84969i | ||||
\(717\) | −5.84331 | + | 3.37364i | −0.218223 | + | 0.125991i | ||||
\(718\) | 2.62181 | + | 22.5919i | 0.0978452 | + | 0.843123i | ||||
\(719\) | 21.4941 | − | 37.2288i | 0.801593 | − | 1.38840i | −0.116974 | − | 0.993135i | \(-0.537320\pi\) |
0.918567 | − | 0.395265i | \(-0.129347\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.34132 | − | 7.81892i | 0.273405 | − | 0.291192i | ||||
\(722\) | 6.26655 | − | 14.4948i | 0.233217 | − | 0.539439i | ||||
\(723\) | 1.40956 | + | 0.813812i | 0.0524223 | + | 0.0302660i | ||||
\(724\) | 23.0648 | + | 6.94644i | 0.857196 | + | 0.258162i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 14.4001 | + | 19.3759i | 0.534438 | + | 0.719107i | ||||
\(727\) | −1.38049 | −0.0511995 | −0.0255997 | − | 0.999672i | \(-0.508150\pi\) | ||||
−0.0255997 | + | 0.999672i | \(0.508150\pi\) | |||||||
\(728\) | 5.03367 | + | 43.0878i | 0.186560 | + | 1.59694i | ||||
\(729\) | 20.6247 | 0.763877 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −7.72164 | − | 13.3743i | −0.285595 | − | 0.494665i | ||||
\(732\) | −10.3768 | − | 3.12518i | −0.383537 | − | 0.115510i | ||||
\(733\) | 13.1258 | + | 7.57816i | 0.484811 | + | 0.279906i | 0.722419 | − | 0.691455i | \(-0.243030\pi\) |
−0.237608 | + | 0.971361i | \(0.576363\pi\) | |||||||
\(734\) | −17.0530 | + | 39.4442i | −0.629438 | + | 1.45591i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −11.8882 | + | 23.4309i | −0.438204 | + | 0.863675i | ||||
\(737\) | 8.06975 | − | 13.9772i | 0.297253 | − | 0.514858i | ||||
\(738\) | −0.715733 | − | 6.16741i | −0.0263465 | − | 0.227026i | ||||
\(739\) | 24.2546 | − | 14.0034i | 0.892219 | − | 0.515123i | 0.0175513 | − | 0.999846i | \(-0.494413\pi\) |
0.874668 | + | 0.484723i | \(0.161080\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 59.8608i | 2.19904i | ||||||||
\(742\) | −15.0015 | + | 20.2172i | −0.550722 | + | 0.742198i | ||||
\(743\) | − | 8.25628i | − | 0.302894i | −0.988465 | − | 0.151447i | \(-0.951607\pi\) | ||
0.988465 | − | 0.151447i | \(-0.0483932\pi\) | |||||||
\(744\) | 1.55901 | − | 8.71594i | 0.0571559 | − | 0.319542i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −27.5947 | + | 3.20239i | −1.01031 | + | 0.117248i | ||||
\(747\) | −0.0217871 | + | 0.0377363i | −0.000797147 | + | 0.00138070i | ||||
\(748\) | −8.85887 | − | 9.42080i | −0.323912 | − | 0.344459i | ||||
\(749\) | −14.9951 | − | 14.0791i | −0.547907 | − | 0.514439i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 30.7859 | + | 17.7743i | 1.12339 | + | 0.648592i | 0.942265 | − | 0.334867i | \(-0.108691\pi\) |
0.181129 | + | 0.983459i | \(0.442025\pi\) | |||||||
\(752\) | −0.494789 | + | 0.246460i | −0.0180431 | + | 0.00898748i | ||||
\(753\) | 18.6606 | + | 32.3211i | 0.680029 | + | 1.17785i | ||||
\(754\) | 13.4452 | − | 9.99241i | 0.489645 | − | 0.363902i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −12.2467 | + | 21.2492i | −0.445406 | + | 0.772826i | ||||
\(757\) | 36.8013 | 1.33757 | 0.668783 | − | 0.743458i | \(-0.266815\pi\) | ||||
0.668783 | + | 0.743458i | \(0.266815\pi\) | |||||||
\(758\) | −21.2910 | + | 15.8234i | −0.773324 | + | 0.574732i | ||||
\(759\) | 6.05077 | + | 10.4802i | 0.219629 | + | 0.380409i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 33.8606 | + | 19.5494i | 1.22744 | + | 0.708666i | 0.966495 | − | 0.256687i | \(-0.0826309\pi\) |
0.260950 | + | 0.965352i | \(0.415964\pi\) | |||||||
\(762\) | 31.3359 | + | 13.5475i | 1.13518 | + | 0.490775i | ||||
\(763\) | 6.77168 | + | 22.4226i | 0.245151 | + | 0.811752i | ||||
\(764\) | −28.5730 | + | 26.8687i | −1.03374 | + | 0.972075i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −24.7701 | + | 2.87459i | −0.894979 | + | 0.103863i | ||||
\(767\) | 8.35919 | − | 4.82618i | 0.301833 | − | 0.174263i | ||||
\(768\) | 18.1215 | − | 24.0105i | 0.653904 | − | 0.866403i | ||||
\(769\) | − | 17.0090i | − | 0.613359i | −0.951813 | − | 0.306679i | \(-0.900782\pi\) | ||
0.951813 | − | 0.306679i | \(-0.0992179\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 31.1747i | − | 1.12273i | ||||||
\(772\) | −5.52677 | + | 1.30029i | −0.198913 | + | 0.0467983i | ||||
\(773\) | 7.53906 | − | 4.35268i | 0.271161 | − | 0.156555i | −0.358254 | − | 0.933624i | \(-0.616628\pi\) |
0.629415 | + | 0.777069i | \(0.283295\pi\) | |||||||
\(774\) | −0.288545 | − | 2.48637i | −0.0103715 | − | 0.0893705i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −3.73585 | − | 10.3434i | −0.134109 | − | 0.371306i | ||||
\(777\) | 1.38234 | + | 0.324111i | 0.0495911 | + | 0.0116274i | ||||
\(778\) | −0.521721 | + | 1.20676i | −0.0187046 | + | 0.0432644i | ||||
\(779\) | −39.0523 | − | 22.5469i | −1.39919 | − | 0.807825i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.59318 | + | 2.75946i | 0.0570084 | + | 0.0987414i | ||||
\(782\) | 18.2811 | + | 24.5979i | 0.653731 | + | 0.879620i | ||||
\(783\) | 9.47073 | 0.338456 | ||||||||
\(784\) | −14.0369 | − | 24.2273i | −0.501320 | − | 0.865262i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −5.21901 | − | 7.02238i | −0.186156 | − | 0.250480i | ||||
\(787\) | 1.12075 | + | 1.94119i | 0.0399503 | + | 0.0691960i | 0.885309 | − | 0.465003i | \(-0.153947\pi\) |
−0.845359 | + | 0.534199i | \(0.820613\pi\) | |||||||
\(788\) | 6.22520 | − | 20.6700i | 0.221764 | − | 0.736338i | ||||
\(789\) | 12.9303 | + | 7.46531i | 0.460331 | + | 0.265772i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −38.2236 | − | 8.96213i | −1.35907 | − | 0.318657i | ||||
\(792\) | −0.712016 | − | 1.97134i | −0.0253004 | − | 0.0700487i | ||||
\(793\) | 8.35375 | − | 14.4691i | 0.296650 | − | 0.513814i | ||||
\(794\) | −4.17513 | − | 35.9767i | −0.148170 | − | 1.27677i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.77816 | − | 0.653618i | 0.0984692 | − | 0.0231669i | ||||
\(797\) | 20.8126i | 0.737220i | 0.929584 | + | 0.368610i | \(0.120166\pi\) | ||||
−0.929584 | + | 0.368610i | \(0.879834\pi\) | |||||||
\(798\) | −15.3595 | − | 35.4528i | −0.543719 | − | 1.25501i | ||||
\(799\) | 0.644776i | 0.0228105i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1.72240 | + | 0.994428i | −0.0608580 | + | 0.0351364i | ||||
\(802\) | 4.09258 | − | 0.474948i | 0.144514 | − | 0.0167710i | ||||
\(803\) | −3.23295 | + | 5.59963i | −0.114088 | + | 0.197607i | ||||
\(804\) | 31.9022 | − | 29.9993i | 1.12511 | − | 1.05799i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 12.5297 | + | 5.41698i | 0.441339 | + | 0.190805i | ||||
\(807\) | −29.5808 | − | 17.0785i | −1.04129 | − | 0.601191i | ||||
\(808\) | −18.7777 | + | 22.2668i | −0.660599 | + | 0.783343i | ||||
\(809\) | 2.55436 | + | 4.42429i | 0.0898067 | + | 0.155550i | 0.907429 | − | 0.420205i | \(-0.138042\pi\) |
−0.817623 | + | 0.575754i | \(0.804708\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.38868 | 0.0838779 | 0.0419390 | − | 0.999120i | \(-0.486646\pi\) | ||||
0.0419390 | + | 0.999120i | \(0.486646\pi\) | |||||||
\(812\) | −5.39904 | + | 9.36789i | −0.189469 | + | 0.328748i | ||||
\(813\) | 43.8518 | 1.53795 | ||||||||
\(814\) | 0.448989 | − | 0.333688i | 0.0157371 | − | 0.0116957i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −15.6444 | − | 31.4074i | −0.547665 | − | 1.09948i | ||||
\(817\) | −15.7438 | − | 9.08967i | −0.550805 | − | 0.318007i | ||||
\(818\) | −43.6767 | − | 18.8829i | −1.52712 | − | 0.660223i | ||||
\(819\) | 5.97903 | + | 5.61381i | 0.208924 | + | 0.196162i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −14.7840 | + | 25.6066i | −0.515964 | + | 0.893676i | 0.483864 | + | 0.875143i | \(0.339233\pi\) |
−0.999828 | + | 0.0185331i | \(0.994100\pi\) | |||||||
\(822\) | −56.1468 | + | 6.51588i | −1.95834 | + | 0.227267i | ||||
\(823\) | 11.4243 | − | 6.59584i | 0.398227 | − | 0.229916i | −0.287492 | − | 0.957783i | \(-0.592821\pi\) |
0.685719 | + | 0.727867i | \(0.259488\pi\) | |||||||
\(824\) | 2.01882 | − | 11.2866i | 0.0703289 | − | 0.393188i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.71243 | + | 5.00318i | −0.129172 | + | 0.174083i | ||||
\(827\) | 18.3687i | 0.638743i | 0.947630 | + | 0.319371i | \(0.103472\pi\) | ||||
−0.947630 | + | 0.319371i | \(0.896528\pi\) | |||||||
\(828\) | 1.13760 | + | 4.83530i | 0.0395344 | + | 0.168038i | ||||
\(829\) | −30.4962 | + | 17.6070i | −1.05918 | + | 0.611515i | −0.925204 | − | 0.379470i | \(-0.876106\pi\) |
−0.133971 | + | 0.990985i | \(0.542773\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 21.8086 | − | 37.7736i | 0.756531 | − | 1.31035i | ||||
\(832\) | 29.6346 | + | 35.6726i | 1.02739 | + | 1.23672i | ||||
\(833\) | −32.5955 | + | 2.05581i | −1.12937 | + | 0.0712296i | ||||
\(834\) | 8.90623 | − | 20.6004i | 0.308397 | − | 0.713334i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −14.5762 | − | 4.38992i | −0.504128 | − | 0.151829i | ||||
\(837\) | 3.85871 | + | 6.68348i | 0.133376 | + | 0.231015i | ||||
\(838\) | −10.3492 | − | 13.9253i | −0.357509 | − | 0.481042i | ||||
\(839\) | 7.83756 | 0.270583 | 0.135291 | − | 0.990806i | \(-0.456803\pi\) | ||||
0.135291 | + | 0.990806i | \(0.456803\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −24.8248 | −0.856026 | ||||||||
\(842\) | −7.89724 | − | 10.6260i | −0.272157 | − | 0.366198i | ||||
\(843\) | 1.48069 | + | 2.56463i | 0.0509977 | + | 0.0883306i | ||||
\(844\) | −2.32376 | − | 0.699848i | −0.0799870 | − | 0.0240898i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −0.0414713 | + | 0.0959246i | −0.00142581 | + | 0.00329796i | ||||
\(847\) | 16.4429 | − | 17.5126i | 0.564985 | − | 0.601741i | ||||
\(848\) | −1.65311 | + | 26.8624i | −0.0567681 | + | 0.922459i | ||||
\(849\) | 7.18329 | − | 12.4418i | 0.246530 | − | 0.427002i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −1.14814 | + | 0.662878i | −0.0393577 | + | 0.0227232i | ||||
\(852\) | 1.97999 | + | 8.41583i | 0.0678335 | + | 0.288321i | ||||
\(853\) | − | 10.4840i | − | 0.358965i | −0.983761 | − | 0.179483i | \(-0.942558\pi\) | ||
0.983761 | − | 0.179483i | \(-0.0574424\pi\) | |||||||
\(854\) | −1.23496 | + | 10.7128i | −0.0422595 | + | 0.366586i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −21.6454 | − | 3.87167i | −0.739824 | − | 0.132331i | ||||
\(857\) | −23.8916 | + | 13.7938i | −0.816122 | + | 0.471189i | −0.849077 | − | 0.528268i | \(-0.822842\pi\) |
0.0329550 | + | 0.999457i | \(0.489508\pi\) | |||||||
\(858\) | 21.2177 | − | 2.46234i | 0.724362 | − | 0.0840628i | ||||
\(859\) | −20.8628 | + | 36.1355i | −0.711831 | + | 1.23293i | 0.252338 | + | 0.967639i | \(0.418800\pi\) |
−0.964169 | + | 0.265288i | \(0.914533\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −39.0958 | + | 11.8070i | −1.33238 | + | 0.402382i | ||||
\(862\) | 31.5040 | + | 13.6202i | 1.07303 | + | 0.463906i | ||||
\(863\) | −0.212051 | − | 0.122428i | −0.00721829 | − | 0.00416748i | 0.496387 | − | 0.868102i | \(-0.334660\pi\) |
−0.503605 | + | 0.863934i | \(0.667993\pi\) | |||||||
\(864\) | 1.41702 | + | 26.1807i | 0.0482078 | + | 0.890687i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −3.40524 | + | 2.53076i | −0.115715 | + | 0.0859988i | ||||
\(867\) | −8.96662 | −0.304522 | ||||||||
\(868\) | −8.81066 | + | 0.00671546i | −0.299053 | + | 0.000227938i | ||||
\(869\) | −14.2104 | −0.482053 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 33.7565 | + | 58.4680i | 1.14380 | + | 1.98111i | ||||
\(872\) | 19.1421 | + | 16.1426i | 0.648232 | + | 0.546659i | ||||
\(873\) | −1.80058 | − | 1.03956i | −0.0609403 | − | 0.0351839i | ||||
\(874\) | 33.1148 | + | 14.3166i | 1.12012 | + | 0.484265i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −12.7808 | + | 12.0185i | −0.431825 | + | 0.406067i | ||||
\(877\) | 25.7877 | − | 44.6656i | 0.870789 | − | 1.50825i | 0.00960752 | − | 0.999954i | \(-0.496942\pi\) |
0.861182 | − | 0.508297i | \(-0.169725\pi\) | |||||||
\(878\) | −20.1704 | + | 2.34080i | −0.680719 | + | 0.0789980i | ||||
\(879\) | 15.4402 | − | 8.91439i | 0.520784 | − | 0.300675i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 35.8603i | − | 1.20816i | −0.796922 | − | 0.604082i | \(-0.793540\pi\) | ||
0.796922 | − | 0.604082i | \(-0.206460\pi\) | |||||||
\(882\) | −4.98153 | − | 1.79066i | −0.167737 | − | 0.0602947i | ||||
\(883\) | − | 24.5636i | − | 0.826632i | −0.910588 | − | 0.413316i | \(-0.864371\pi\) | ||
0.910588 | − | 0.413316i | \(-0.135629\pi\) | |||||||
\(884\) | 52.6571 | − | 12.3887i | 1.77105 | − | 0.416676i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.51110 | + | 21.6379i | 0.0843621 | + | 0.726941i | ||||
\(887\) | −9.18275 | + | 15.9050i | −0.308327 | + | 0.534037i | −0.977996 | − | 0.208622i | \(-0.933102\pi\) |
0.669670 | + | 0.742659i | \(0.266436\pi\) | |||||||
\(888\) | 1.42759 | − | 0.515623i | 0.0479069 | − | 0.0173032i | ||||
\(889\) | 7.75472 | − | 33.0739i | 0.260085 | − | 1.10926i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 12.3835 | + | 7.14963i | 0.414863 | + | 0.239521i | ||||
\(892\) | 14.4831 | − | 48.0893i | 0.484930 | − | 1.61015i | ||||
\(893\) | 0.379505 | + | 0.657322i | 0.0126996 | + | 0.0219964i | ||||
\(894\) | −4.08416 | − | 5.49539i | −0.136595 | − | 0.183793i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −26.7043 | − | 13.5234i | −0.892127 | − | 0.451785i | ||||
\(897\) | −50.6218 | −1.69021 | ||||||||
\(898\) | 22.3009 | + | 30.0067i | 0.744189 | + | 1.00134i | ||||
\(899\) | 1.70114 | + | 2.94647i | 0.0567363 | + | 0.0982701i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 27.1868 | + | 15.6963i | 0.905724 | + | 0.522920i | ||||
\(902\) | −6.38537 | + | 14.7696i | −0.212610 | + | 0.491774i | ||||
\(903\) | −15.7613 | + | 4.75995i | −0.524503 | + | 0.158401i | ||||
\(904\) | −39.4750 | + | 14.2577i | −1.31292 | + | 0.474203i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 5.77876 | + | 49.7951i | 0.191986 | + | 1.65433i | ||||
\(907\) | 29.8456 | − | 17.2314i | 0.991008 | − | 0.572159i | 0.0854324 | − | 0.996344i | \(-0.472773\pi\) |
0.905575 | + | 0.424185i | \(0.139439\pi\) | |||||||
\(908\) | −38.8366 | + | 9.13710i | −1.28884 | + | 0.303225i | ||||
\(909\) | 5.50676i | 0.182648i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 33.5138i | 1.11036i | 0.831729 | + | 0.555182i | \(0.187351\pi\) | ||||
−0.831729 | + | 0.555182i | \(0.812649\pi\) | |||||||
\(912\) | −34.4348 | − | 22.8105i | −1.14025 | − | 0.755331i | ||||
\(913\) | 0.0977978 | − | 0.0564636i | 0.00323664 | − | 0.00186867i | ||||
\(914\) | −52.9421 | + | 6.14397i | −1.75117 | + | 0.203225i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 29.8622 | − | 28.0810i | 0.986674 | − | 0.927821i | ||||
\(917\) | −5.95938 | + | 6.34708i | −0.196796 | + | 0.209599i | ||||
\(918\) | 28.0718 | + | 12.1363i | 0.926507 | + | 0.400559i | ||||
\(919\) | 10.9820 | + | 6.34049i | 0.362264 | + | 0.209153i | 0.670074 | − | 0.742295i | \(-0.266263\pi\) |
−0.307809 | + | 0.951448i | \(0.599596\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 24.7131 | + | 42.8044i | 0.814325 | + | 1.41045i | ||||
\(922\) | −4.09932 | + | 3.04660i | −0.135004 | + | 0.100334i | ||||
\(923\) | −13.3288 | −0.438723 | ||||||||
\(924\) | −11.9345 | + | 6.90251i | −0.392616 | + | 0.227076i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −31.3384 | + | 23.2906i | −1.02984 | + | 0.765376i | ||||
\(927\) | −1.08384 | − | 1.87726i | −0.0355979 | − | 0.0616574i | ||||
\(928\) | 0.624703 | + | 11.5420i | 0.0205069 | + | 0.378885i | ||||
\(929\) | 35.8442 | + | 20.6947i | 1.17601 | + | 0.678970i | 0.955088 | − | 0.296322i | \(-0.0957601\pi\) |
0.220922 | + | 0.975291i | \(0.429093\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −32.0197 | + | 21.2810i | −1.04940 | + | 0.697457i | ||||
\(932\) | 5.93365 | + | 6.31004i | 0.194363 | + | 0.206692i | ||||
\(933\) | −28.5762 | + | 49.4955i | −0.935544 | + | 1.62041i | ||||
\(934\) | 1.84604 | − | 0.214234i | 0.0604041 | − | 0.00700995i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 8.63073 | + | 1.54376i | 0.282104 | + | 0.0504595i | ||||
\(937\) | 0.183387i | 0.00599098i | 0.999996 | + | 0.00299549i | \(0.000953496\pi\) | ||||
−0.999996 | + | 0.00299549i | \(0.999047\pi\) | |||||||
\(938\) | −34.9945 | − | 25.9664i | −1.14261 | − | 0.847833i | ||||
\(939\) | 5.12316i | 0.167188i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −6.13750 | + | 3.54349i | −0.200077 | + | 0.115514i | −0.596691 | − | 0.802471i | \(-0.703518\pi\) |
0.396615 | + | 0.917985i | \(0.370185\pi\) | |||||||
\(942\) | −5.59036 | − | 48.1716i | −0.182144 | − | 1.56952i | ||||
\(943\) | 19.0670 | − | 33.0249i | 0.620905 | − | 1.07544i | ||||
\(944\) | −0.409097 | + | 6.64766i | −0.0133150 | + | 0.216363i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.57424 | + | 5.95430i | −0.0836956 | + | 0.193591i | ||||
\(947\) | 7.75877 | + | 4.47953i | 0.252126 | + | 0.145565i | 0.620737 | − | 0.784019i | \(-0.286833\pi\) |
−0.368611 | + | 0.929584i | \(0.620167\pi\) | |||||||
\(948\) | −36.9193 | − | 11.1190i | −1.19908 | − | 0.361129i | ||||
\(949\) | −13.5237 | − | 23.4238i | −0.438998 | − | 0.760367i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −19.7073 | −0.639052 | ||||||||
\(952\) | −28.0076 | + | 20.8483i | −0.907732 | + | 0.675698i | ||||
\(953\) | −18.0436 | −0.584488 | −0.292244 | − | 0.956344i | \(-0.594402\pi\) | ||||
−0.292244 | + | 0.956344i | \(0.594402\pi\) | |||||||
\(954\) | 3.03506 | + | 4.08380i | 0.0982638 | + | 0.132218i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 6.87269 | + | 2.06985i | 0.222279 | + | 0.0669439i | ||||
\(957\) | 4.61059 | + | 2.66193i | 0.149039 | + | 0.0860479i | ||||
\(958\) | −10.4671 | + | 24.2108i | −0.338176 | + | 0.782214i | ||||
\(959\) | 16.2608 | + | 53.8434i | 0.525089 | + | 1.73869i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14.1138 | − | 24.4458i | 0.455284 | − | 0.788574i | ||||
\(962\) | 0.269756 | + | 2.32446i | 0.00869727 | + | 0.0749436i | ||||
\(963\) | −3.60020 | + | 2.07857i | −0.116015 | + | 0.0669811i | ||||
\(964\) | −0.396529 | − | 1.68542i | −0.0127713 | − | 0.0542836i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 29.9809 | − | 12.9889i | 0.964621 | − | 0.417910i | ||||
\(967\) | 41.2336i | 1.32598i | 0.748627 | + | 0.662991i | \(0.230713\pi\) | ||||
−0.748627 | + | 0.662991i | \(0.769287\pi\) | |||||||
\(968\) | 4.52170 | − | 25.2795i | 0.145333 | − | 0.812514i | ||||
\(969\) | −41.7245 | + | 24.0896i | −1.34038 | + | 0.773871i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 16.9420 | − | 29.3445i | 0.543696 | − | 0.941708i | −0.454992 | − | 0.890495i | \(-0.650358\pi\) |
0.998688 | − | 0.0512130i | \(-0.0163087\pi\) | |||||||
\(972\) | 7.52795 | + | 8.00546i | 0.241459 | + | 0.256775i | ||||
\(973\) | −21.7430 | − | 5.09800i | −0.697049 | − | 0.163434i | ||||
\(974\) | 13.3328 | + | 5.76420i | 0.427210 | + | 0.184697i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.14005 | + | 10.3191i | 0.164529 | + | 0.330305i | ||||
\(977\) | 14.6946 | + | 25.4518i | 0.470121 | + | 0.814274i | 0.999416 | − | 0.0341641i | \(-0.0108769\pi\) |
−0.529295 | + | 0.848438i | \(0.677544\pi\) | |||||||
\(978\) | 21.3774 | − | 15.8876i | 0.683573 | − | 0.508029i | ||||
\(979\) | 5.15434 | 0.164733 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.73399 | 0.151145 | ||||||||
\(982\) | −23.8826 | + | 17.7495i | −0.762124 | + | 0.566408i | ||||
\(983\) | −20.9083 | − | 36.2142i | −0.666871 | − | 1.15505i | −0.978774 | − | 0.204940i | \(-0.934300\pi\) |
0.311904 | − | 0.950114i | \(-0.399033\pi\) | |||||||
\(984\) | −28.1461 | + | 33.3759i | −0.897266 | + | 1.06399i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 12.3757 | + | 5.35040i | 0.394122 | + | 0.170392i | ||||
\(987\) | 0.669258 | + | 0.156918i | 0.0213027 | + | 0.00499477i | ||||
\(988\) | 46.3899 | − | 43.6229i | 1.47586 | − | 1.38783i | ||||
\(989\) | 7.68676 | − | 13.3139i | 0.244425 | − | 0.423356i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −19.0788 | + | 11.0151i | −0.606056 | + | 0.349907i | −0.771420 | − | 0.636326i | \(-0.780453\pi\) |
0.165364 | + | 0.986233i | \(0.447120\pi\) | |||||||
\(992\) | −7.89064 | + | 5.14347i | −0.250528 | + | 0.163305i | ||||
\(993\) | 23.2093i | 0.736524i | ||||||||
\(994\) | 7.89403 | − | 3.41999i | 0.250383 | − | 0.108475i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0.298264 | − | 0.0701727i | 0.00945087 | − | 0.00222351i | ||||
\(997\) | −28.1444 | + | 16.2492i | −0.891341 | + | 0.514616i | −0.874381 | − | 0.485240i | \(-0.838732\pi\) |
−0.0169601 | + | 0.999856i | \(0.505399\pi\) | |||||||
\(998\) | 3.43871 | + | 29.6311i | 0.108850 | + | 0.937955i | ||||
\(999\) | −0.661485 | + | 1.14573i | −0.0209285 | + | 0.0362492i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))