Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [245,2,Mod(79,245)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(245, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("245.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 245 = 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 245.j (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.95633484952\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 35) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 214.2 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 245.214 |
Dual form | 245.2.j.e.79.2 |
$q$-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 \(\left(\mathbb{Z}/245\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.73205 | − | 1.00000i | 1.22474 | − | 0.707107i | 0.258819 | − | 0.965926i | \(-0.416667\pi\) |
0.965926 | + | 0.258819i | \(0.0833333\pi\) | |||||||
\(3\) | 0.866025 | + | 0.500000i | 0.500000 | + | 0.288675i | 0.728714 | − | 0.684819i | \(-0.240119\pi\) |
−0.228714 | + | 0.973494i | \(0.573452\pi\) | |||||||
\(4\) | 1.00000 | − | 1.73205i | 0.500000 | − | 0.866025i | ||||
\(5\) | 0.133975 | + | 2.23205i | 0.0599153 | + | 0.998203i | ||||
\(6\) | 2.00000 | 0.816497 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.00000 | − | 1.73205i | −0.333333 | − | 0.577350i | ||||
\(10\) | 2.46410 | + | 3.73205i | 0.779217 | + | 1.18018i | ||||
\(11\) | 1.50000 | − | 2.59808i | 0.452267 | − | 0.783349i | −0.546259 | − | 0.837616i | \(-0.683949\pi\) |
0.998526 | + | 0.0542666i | \(0.0172821\pi\) | |||||||
\(12\) | 1.73205 | − | 1.00000i | 0.500000 | − | 0.288675i | ||||
\(13\) | − | 1.00000i | − | 0.277350i | −0.990338 | − | 0.138675i | \(-0.955716\pi\) | ||
0.990338 | − | 0.138675i | \(-0.0442844\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.00000 | + | 2.00000i | −0.258199 | + | 0.516398i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.500000 | + | 0.866025i | ||||
\(17\) | −6.06218 | − | 3.50000i | −1.47029 | − | 0.848875i | −0.470850 | − | 0.882213i | \(-0.656053\pi\) |
−0.999444 | + | 0.0333386i | \(0.989386\pi\) | |||||||
\(18\) | −3.46410 | − | 2.00000i | −0.816497 | − | 0.471405i | ||||
\(19\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(20\) | 4.00000 | + | 2.00000i | 0.894427 | + | 0.447214i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | − | 6.00000i | − | 1.27920i | ||||||
\(23\) | −5.19615 | + | 3.00000i | −1.08347 | + | 0.625543i | −0.931831 | − | 0.362892i | \(-0.881789\pi\) |
−0.151642 | + | 0.988436i | \(0.548456\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.96410 | + | 0.598076i | −0.992820 | + | 0.119615i | ||||
\(26\) | −1.00000 | − | 1.73205i | −0.196116 | − | 0.339683i | ||||
\(27\) | − | 5.00000i | − | 0.962250i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.00000 | 0.928477 | 0.464238 | − | 0.885710i | \(-0.346328\pi\) | ||||
0.464238 | + | 0.885710i | \(0.346328\pi\) | |||||||
\(30\) | 0.267949 | + | 4.46410i | 0.0489206 | + | 0.815030i | ||||
\(31\) | −1.00000 | + | 1.73205i | −0.179605 | + | 0.311086i | −0.941745 | − | 0.336327i | \(-0.890815\pi\) |
0.762140 | + | 0.647412i | \(0.224149\pi\) | |||||||
\(32\) | 6.92820 | + | 4.00000i | 1.22474 | + | 0.707107i | ||||
\(33\) | 2.59808 | − | 1.50000i | 0.452267 | − | 0.261116i | ||||
\(34\) | −14.0000 | −2.40098 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −4.00000 | −0.666667 | ||||||||
\(37\) | 1.73205 | − | 1.00000i | 0.284747 | − | 0.164399i | −0.350823 | − | 0.936442i | \(-0.614098\pi\) |
0.635571 | + | 0.772043i | \(0.280765\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.500000 | − | 0.866025i | 0.0800641 | − | 0.138675i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.00000 | 0.312348 | 0.156174 | − | 0.987730i | \(-0.450084\pi\) | ||||
0.156174 | + | 0.987730i | \(0.450084\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.00000i | 0.609994i | 0.952353 | + | 0.304997i | \(0.0986555\pi\) | ||||
−0.952353 | + | 0.304997i | \(0.901344\pi\) | |||||||
\(44\) | −3.00000 | − | 5.19615i | −0.452267 | − | 0.783349i | ||||
\(45\) | 3.73205 | − | 2.46410i | 0.556341 | − | 0.367327i | ||||
\(46\) | −6.00000 | + | 10.3923i | −0.884652 | + | 1.53226i | ||||
\(47\) | −2.59808 | + | 1.50000i | −0.378968 | + | 0.218797i | −0.677369 | − | 0.735643i | \(-0.736880\pi\) |
0.298401 | + | 0.954441i | \(0.403547\pi\) | |||||||
\(48\) | 4.00000i | 0.577350i | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −8.00000 | + | 6.00000i | −1.13137 | + | 0.848528i | ||||
\(51\) | −3.50000 | − | 6.06218i | −0.490098 | − | 0.848875i | ||||
\(52\) | −1.73205 | − | 1.00000i | −0.240192 | − | 0.138675i | ||||
\(53\) | 5.19615 | + | 3.00000i | 0.713746 | + | 0.412082i | 0.812447 | − | 0.583036i | \(-0.198135\pi\) |
−0.0987002 | + | 0.995117i | \(0.531468\pi\) | |||||||
\(54\) | −5.00000 | − | 8.66025i | −0.680414 | − | 1.17851i | ||||
\(55\) | 6.00000 | + | 3.00000i | 0.809040 | + | 0.404520i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 8.66025 | − | 5.00000i | 1.13715 | − | 0.656532i | ||||
\(59\) | 5.00000 | − | 8.66025i | 0.650945 | − | 1.12747i | −0.331949 | − | 0.943297i | \(-0.607706\pi\) |
0.982894 | − | 0.184172i | \(-0.0589603\pi\) | |||||||
\(60\) | 2.46410 | + | 3.73205i | 0.318114 | + | 0.481806i | ||||
\(61\) | 4.00000 | + | 6.92820i | 0.512148 | + | 0.887066i | 0.999901 | + | 0.0140840i | \(0.00448323\pi\) |
−0.487753 | + | 0.872982i | \(0.662183\pi\) | |||||||
\(62\) | 4.00000i | 0.508001i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.00000 | 1.00000 | ||||||||
\(65\) | 2.23205 | − | 0.133975i | 0.276852 | − | 0.0166175i | ||||
\(66\) | 3.00000 | − | 5.19615i | 0.369274 | − | 0.639602i | ||||
\(67\) | −1.73205 | − | 1.00000i | −0.211604 | − | 0.122169i | 0.390453 | − | 0.920623i | \(-0.372318\pi\) |
−0.602056 | + | 0.798454i | \(0.705652\pi\) | |||||||
\(68\) | −12.1244 | + | 7.00000i | −1.47029 | + | 0.848875i | ||||
\(69\) | −6.00000 | −0.722315 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −8.00000 | −0.949425 | −0.474713 | − | 0.880141i | \(-0.657448\pi\) | ||||
−0.474713 | + | 0.880141i | \(0.657448\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.19615 | + | 3.00000i | 0.608164 | + | 0.351123i | 0.772246 | − | 0.635323i | \(-0.219133\pi\) |
−0.164083 | + | 0.986447i | \(0.552466\pi\) | |||||||
\(74\) | 2.00000 | − | 3.46410i | 0.232495 | − | 0.402694i | ||||
\(75\) | −4.59808 | − | 1.96410i | −0.530940 | − | 0.226795i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | − | 2.00000i | − | 0.226455i | ||||||
\(79\) | −2.50000 | − | 4.33013i | −0.281272 | − | 0.487177i | 0.690426 | − | 0.723403i | \(-0.257423\pi\) |
−0.971698 | + | 0.236225i | \(0.924090\pi\) | |||||||
\(80\) | −7.46410 | + | 4.92820i | −0.834512 | + | 0.550990i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 3.46410 | − | 2.00000i | 0.382546 | − | 0.220863i | ||||
\(83\) | 4.00000i | 0.439057i | 0.975606 | + | 0.219529i | \(0.0704519\pi\) | ||||
−0.975606 | + | 0.219529i | \(0.929548\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.00000 | − | 14.0000i | 0.759257 | − | 1.51851i | ||||
\(86\) | 4.00000 | + | 6.92820i | 0.431331 | + | 0.747087i | ||||
\(87\) | 4.33013 | + | 2.50000i | 0.464238 | + | 0.268028i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(90\) | 4.00000 | − | 8.00000i | 0.421637 | − | 0.843274i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 12.0000i | 1.25109i | ||||||||
\(93\) | −1.73205 | + | 1.00000i | −0.179605 | + | 0.103695i | ||||
\(94\) | −3.00000 | + | 5.19615i | −0.309426 | + | 0.535942i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 4.00000 | + | 6.92820i | 0.408248 | + | 0.707107i | ||||
\(97\) | 7.00000i | 0.710742i | 0.934725 | + | 0.355371i | \(0.115646\pi\) | ||||
−0.934725 | + | 0.355371i | \(0.884354\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −6.00000 | −0.603023 | ||||||||
\(100\) | −3.92820 | + | 9.19615i | −0.392820 | + | 0.919615i | ||||
\(101\) | −6.00000 | + | 10.3923i | −0.597022 | + | 1.03407i | 0.396236 | + | 0.918149i | \(0.370316\pi\) |
−0.993258 | + | 0.115924i | \(0.963017\pi\) | |||||||
\(102\) | −12.1244 | − | 7.00000i | −1.20049 | − | 0.693103i | ||||
\(103\) | 16.4545 | − | 9.50000i | 1.62131 | − | 0.936063i | 0.634738 | − | 0.772728i | \(-0.281108\pi\) |
0.986571 | − | 0.163335i | \(-0.0522252\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 12.0000 | 1.16554 | ||||||||
\(107\) | −6.92820 | + | 4.00000i | −0.669775 | + | 0.386695i | −0.795991 | − | 0.605308i | \(-0.793050\pi\) |
0.126217 | + | 0.992003i | \(0.459717\pi\) | |||||||
\(108\) | −8.66025 | − | 5.00000i | −0.833333 | − | 0.481125i | ||||
\(109\) | 2.50000 | − | 4.33013i | 0.239457 | − | 0.414751i | −0.721102 | − | 0.692829i | \(-0.756364\pi\) |
0.960558 | + | 0.278078i | \(0.0896974\pi\) | |||||||
\(110\) | 13.3923 | − | 0.803848i | 1.27691 | − | 0.0766439i | ||||
\(111\) | 2.00000 | 0.189832 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 6.00000i | − | 0.564433i | −0.959351 | − | 0.282216i | \(-0.908930\pi\) | ||
0.959351 | − | 0.282216i | \(-0.0910696\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.39230 | − | 11.1962i | −0.689336 | − | 1.04405i | ||||
\(116\) | 5.00000 | − | 8.66025i | 0.464238 | − | 0.804084i | ||||
\(117\) | −1.73205 | + | 1.00000i | −0.160128 | + | 0.0924500i | ||||
\(118\) | − | 20.0000i | − | 1.84115i | ||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | + | 1.73205i | 0.0909091 | + | 0.157459i | ||||
\(122\) | 13.8564 | + | 8.00000i | 1.25450 | + | 0.724286i | ||||
\(123\) | 1.73205 | + | 1.00000i | 0.156174 | + | 0.0901670i | ||||
\(124\) | 2.00000 | + | 3.46410i | 0.179605 | + | 0.311086i | ||||
\(125\) | −2.00000 | − | 11.0000i | −0.178885 | − | 0.983870i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.00000i | 0.177471i | 0.996055 | + | 0.0887357i | \(0.0282826\pi\) | ||||
−0.996055 | + | 0.0887357i | \(0.971717\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −2.00000 | + | 3.46410i | −0.176090 | + | 0.304997i | ||||
\(130\) | 3.73205 | − | 2.46410i | 0.327323 | − | 0.216116i | ||||
\(131\) | −11.0000 | − | 19.0526i | −0.961074 | − | 1.66463i | −0.719811 | − | 0.694170i | \(-0.755772\pi\) |
−0.241264 | − | 0.970460i | \(-0.577562\pi\) | |||||||
\(132\) | − | 6.00000i | − | 0.522233i | ||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −4.00000 | −0.345547 | ||||||||
\(135\) | 11.1603 | − | 0.669873i | 0.960522 | − | 0.0576535i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −10.3923 | − | 6.00000i | −0.887875 | − | 0.512615i | −0.0146279 | − | 0.999893i | \(-0.504656\pi\) |
−0.873247 | + | 0.487278i | \(0.837990\pi\) | |||||||
\(138\) | −10.3923 | + | 6.00000i | −0.884652 | + | 0.510754i | ||||
\(139\) | 10.0000 | 0.848189 | 0.424094 | − | 0.905618i | \(-0.360592\pi\) | ||||
0.424094 | + | 0.905618i | \(0.360592\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.00000 | −0.252646 | ||||||||
\(142\) | −13.8564 | + | 8.00000i | −1.16280 | + | 0.671345i | ||||
\(143\) | −2.59808 | − | 1.50000i | −0.217262 | − | 0.125436i | ||||
\(144\) | 4.00000 | − | 6.92820i | 0.333333 | − | 0.577350i | ||||
\(145\) | 0.669873 | + | 11.1603i | 0.0556299 | + | 0.926809i | ||||
\(146\) | 12.0000 | 0.993127 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 4.00000i | − | 0.328798i | ||||||
\(149\) | 5.00000 | + | 8.66025i | 0.409616 | + | 0.709476i | 0.994847 | − | 0.101391i | \(-0.0323294\pi\) |
−0.585231 | + | 0.810867i | \(0.698996\pi\) | |||||||
\(150\) | −9.92820 | + | 1.19615i | −0.810634 | + | 0.0976654i | ||||
\(151\) | 6.50000 | − | 11.2583i | 0.528962 | − | 0.916190i | −0.470467 | − | 0.882418i | \(-0.655915\pi\) |
0.999430 | − | 0.0337724i | \(-0.0107521\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 14.0000i | 1.13183i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.00000 | − | 2.00000i | −0.321288 | − | 0.160644i | ||||
\(156\) | −1.00000 | − | 1.73205i | −0.0800641 | − | 0.138675i | ||||
\(157\) | 15.5885 | + | 9.00000i | 1.24409 | + | 0.718278i | 0.969925 | − | 0.243403i | \(-0.0782638\pi\) |
0.274169 | + | 0.961681i | \(0.411597\pi\) | |||||||
\(158\) | −8.66025 | − | 5.00000i | −0.688973 | − | 0.397779i | ||||
\(159\) | 3.00000 | + | 5.19615i | 0.237915 | + | 0.412082i | ||||
\(160\) | −8.00000 | + | 16.0000i | −0.632456 | + | 1.26491i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 2.00000i | 0.157135i | ||||||||
\(163\) | 12.1244 | − | 7.00000i | 0.949653 | − | 0.548282i | 0.0566798 | − | 0.998392i | \(-0.481949\pi\) |
0.892973 | + | 0.450110i | \(0.148615\pi\) | |||||||
\(164\) | 2.00000 | − | 3.46410i | 0.156174 | − | 0.270501i | ||||
\(165\) | 3.69615 | + | 5.59808i | 0.287745 | + | 0.435810i | ||||
\(166\) | 4.00000 | + | 6.92820i | 0.310460 | + | 0.537733i | ||||
\(167\) | − | 3.00000i | − | 0.232147i | −0.993241 | − | 0.116073i | \(-0.962969\pi\) | ||
0.993241 | − | 0.116073i | \(-0.0370308\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.0000 | 0.923077 | ||||||||
\(170\) | −1.87564 | − | 31.2487i | −0.143855 | − | 2.39667i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.92820 | + | 4.00000i | 0.528271 | + | 0.304997i | ||||
\(173\) | 7.79423 | − | 4.50000i | 0.592584 | − | 0.342129i | −0.173534 | − | 0.984828i | \(-0.555519\pi\) |
0.766119 | + | 0.642699i | \(0.222185\pi\) | |||||||
\(174\) | 10.0000 | 0.758098 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 12.0000 | 0.904534 | ||||||||
\(177\) | 8.66025 | − | 5.00000i | 0.650945 | − | 0.375823i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −10.0000 | + | 17.3205i | −0.747435 | + | 1.29460i | 0.201613 | + | 0.979465i | \(0.435382\pi\) |
−0.949048 | + | 0.315130i | \(0.897952\pi\) | |||||||
\(180\) | −0.535898 | − | 8.92820i | −0.0399435 | − | 0.665469i | ||||
\(181\) | −18.0000 | −1.33793 | −0.668965 | − | 0.743294i | \(-0.733262\pi\) | ||||
−0.668965 | + | 0.743294i | \(0.733262\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 8.00000i | 0.591377i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.46410 | + | 3.73205i | 0.181164 | + | 0.274386i | ||||
\(186\) | −2.00000 | + | 3.46410i | −0.146647 | + | 0.254000i | ||||
\(187\) | −18.1865 | + | 10.5000i | −1.32993 | + | 0.767836i | ||||
\(188\) | 6.00000i | 0.437595i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1.50000 | + | 2.59808i | 0.108536 | + | 0.187990i | 0.915177 | − | 0.403051i | \(-0.132050\pi\) |
−0.806641 | + | 0.591041i | \(0.798717\pi\) | |||||||
\(192\) | 6.92820 | + | 4.00000i | 0.500000 | + | 0.288675i | ||||
\(193\) | 13.8564 | + | 8.00000i | 0.997406 | + | 0.575853i | 0.907480 | − | 0.420096i | \(-0.138004\pi\) |
0.0899262 | + | 0.995948i | \(0.471337\pi\) | |||||||
\(194\) | 7.00000 | + | 12.1244i | 0.502571 | + | 0.870478i | ||||
\(195\) | 2.00000 | + | 1.00000i | 0.143223 | + | 0.0716115i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.00000i | 0.142494i | 0.997459 | + | 0.0712470i | \(0.0226979\pi\) | ||||
−0.997459 | + | 0.0712470i | \(0.977302\pi\) | |||||||
\(198\) | −10.3923 | + | 6.00000i | −0.738549 | + | 0.426401i | ||||
\(199\) | −5.00000 | + | 8.66025i | −0.354441 | + | 0.613909i | −0.987022 | − | 0.160585i | \(-0.948662\pi\) |
0.632581 | + | 0.774494i | \(0.281995\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.00000 | − | 1.73205i | −0.0705346 | − | 0.122169i | ||||
\(202\) | 24.0000i | 1.68863i | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −14.0000 | −0.980196 | ||||||||
\(205\) | 0.267949 | + | 4.46410i | 0.0187144 | + | 0.311786i | ||||
\(206\) | 19.0000 | − | 32.9090i | 1.32379 | − | 2.29288i | ||||
\(207\) | 10.3923 | + | 6.00000i | 0.722315 | + | 0.417029i | ||||
\(208\) | 3.46410 | − | 2.00000i | 0.240192 | − | 0.138675i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.0000 | −0.894957 | −0.447478 | − | 0.894295i | \(-0.647678\pi\) | ||||
−0.447478 | + | 0.894295i | \(0.647678\pi\) | |||||||
\(212\) | 10.3923 | − | 6.00000i | 0.713746 | − | 0.412082i | ||||
\(213\) | −6.92820 | − | 4.00000i | −0.474713 | − | 0.274075i | ||||
\(214\) | −8.00000 | + | 13.8564i | −0.546869 | + | 0.947204i | ||||
\(215\) | −8.92820 | + | 0.535898i | −0.608898 | + | 0.0365480i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | − | 10.0000i | − | 0.677285i | ||||||
\(219\) | 3.00000 | + | 5.19615i | 0.202721 | + | 0.351123i | ||||
\(220\) | 11.1962 | − | 7.39230i | 0.754844 | − | 0.498389i | ||||
\(221\) | −3.50000 | + | 6.06218i | −0.235435 | + | 0.407786i | ||||
\(222\) | 3.46410 | − | 2.00000i | 0.232495 | − | 0.134231i | ||||
\(223\) | − | 21.0000i | − | 1.40626i | −0.711059 | − | 0.703132i | \(-0.751784\pi\) | ||
0.711059 | − | 0.703132i | \(-0.248216\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 6.00000 | + | 8.00000i | 0.400000 | + | 0.533333i | ||||
\(226\) | −6.00000 | − | 10.3923i | −0.399114 | − | 0.691286i | ||||
\(227\) | −14.7224 | − | 8.50000i | −0.977162 | − | 0.564165i | −0.0757500 | − | 0.997127i | \(-0.524135\pi\) |
−0.901412 | + | 0.432962i | \(0.857468\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.00000 | − | 8.66025i | −0.330409 | − | 0.572286i | 0.652183 | − | 0.758062i | \(-0.273853\pi\) |
−0.982592 | + | 0.185776i | \(0.940520\pi\) | |||||||
\(230\) | −24.0000 | − | 12.0000i | −1.58251 | − | 0.791257i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −13.8564 | + | 8.00000i | −0.907763 | + | 0.524097i | −0.879711 | − | 0.475509i | \(-0.842264\pi\) |
−0.0280525 | + | 0.999606i | \(0.508931\pi\) | |||||||
\(234\) | −2.00000 | + | 3.46410i | −0.130744 | + | 0.226455i | ||||
\(235\) | −3.69615 | − | 5.59808i | −0.241110 | − | 0.365178i | ||||
\(236\) | −10.0000 | − | 17.3205i | −0.650945 | − | 1.12747i | ||||
\(237\) | − | 5.00000i | − | 0.324785i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −15.0000 | −0.970269 | −0.485135 | − | 0.874439i | \(-0.661229\pi\) | ||||
−0.485135 | + | 0.874439i | \(0.661229\pi\) | |||||||
\(240\) | −8.92820 | + | 0.535898i | −0.576313 | + | 0.0345921i | ||||
\(241\) | −11.0000 | + | 19.0526i | −0.708572 | + | 1.22728i | 0.256814 | + | 0.966461i | \(0.417327\pi\) |
−0.965387 | + | 0.260822i | \(0.916006\pi\) | |||||||
\(242\) | 3.46410 | + | 2.00000i | 0.222681 | + | 0.128565i | ||||
\(243\) | −13.8564 | + | 8.00000i | −0.888889 | + | 0.513200i | ||||
\(244\) | 16.0000 | 1.02430 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 4.00000 | 0.255031 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −2.00000 | + | 3.46410i | −0.126745 | + | 0.219529i | ||||
\(250\) | −14.4641 | − | 17.0526i | −0.914790 | − | 1.07850i | ||||
\(251\) | −18.0000 | −1.13615 | −0.568075 | − | 0.822977i | \(-0.692312\pi\) | ||||
−0.568075 | + | 0.822977i | \(0.692312\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 18.0000i | 1.13165i | ||||||||
\(254\) | 2.00000 | + | 3.46410i | 0.125491 | + | 0.217357i | ||||
\(255\) | 13.0622 | − | 8.62436i | 0.817985 | − | 0.540078i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.500000 | + | 0.866025i | ||||
\(257\) | 19.0526 | − | 11.0000i | 1.18847 | − | 0.686161i | 0.230508 | − | 0.973070i | \(-0.425961\pi\) |
0.957958 | + | 0.286909i | \(0.0926278\pi\) | |||||||
\(258\) | 8.00000i | 0.498058i | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 2.00000 | − | 4.00000i | 0.124035 | − | 0.248069i | ||||
\(261\) | −5.00000 | − | 8.66025i | −0.309492 | − | 0.536056i | ||||
\(262\) | −38.1051 | − | 22.0000i | −2.35414 | − | 1.35916i | ||||
\(263\) | −20.7846 | − | 12.0000i | −1.28163 | − | 0.739952i | −0.304487 | − | 0.952517i | \(-0.598485\pi\) |
−0.977147 | + | 0.212565i | \(0.931818\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.00000 | + | 12.0000i | −0.368577 | + | 0.737154i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.46410 | + | 2.00000i | −0.211604 | + | 0.122169i | ||||
\(269\) | 5.00000 | − | 8.66025i | 0.304855 | − | 0.528025i | −0.672374 | − | 0.740212i | \(-0.734725\pi\) |
0.977229 | + | 0.212187i | \(0.0680585\pi\) | |||||||
\(270\) | 18.6603 | − | 12.3205i | 1.13563 | − | 0.749802i | ||||
\(271\) | 4.00000 | + | 6.92820i | 0.242983 | + | 0.420858i | 0.961563 | − | 0.274586i | \(-0.0885408\pi\) |
−0.718580 | + | 0.695444i | \(0.755208\pi\) | |||||||
\(272\) | − | 28.0000i | − | 1.69775i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −24.0000 | −1.44989 | ||||||||
\(275\) | −5.89230 | + | 13.7942i | −0.355319 | + | 0.831823i | ||||
\(276\) | −6.00000 | + | 10.3923i | −0.361158 | + | 0.625543i | ||||
\(277\) | −1.73205 | − | 1.00000i | −0.104069 | − | 0.0600842i | 0.447062 | − | 0.894503i | \(-0.352470\pi\) |
−0.551131 | + | 0.834419i | \(0.685804\pi\) | |||||||
\(278\) | 17.3205 | − | 10.0000i | 1.03882 | − | 0.599760i | ||||
\(279\) | 4.00000 | 0.239474 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7.00000 | 0.417585 | 0.208792 | − | 0.977960i | \(-0.433047\pi\) | ||||
0.208792 | + | 0.977960i | \(0.433047\pi\) | |||||||
\(282\) | −5.19615 | + | 3.00000i | −0.309426 | + | 0.178647i | ||||
\(283\) | 9.52628 | + | 5.50000i | 0.566279 | + | 0.326941i | 0.755662 | − | 0.654962i | \(-0.227315\pi\) |
−0.189383 | + | 0.981903i | \(0.560649\pi\) | |||||||
\(284\) | −8.00000 | + | 13.8564i | −0.474713 | + | 0.822226i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.00000 | −0.354787 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | − | 16.0000i | − | 0.942809i | ||||||
\(289\) | 16.0000 | + | 27.7128i | 0.941176 | + | 1.63017i | ||||
\(290\) | 12.3205 | + | 18.6603i | 0.723485 | + | 1.09577i | ||||
\(291\) | −3.50000 | + | 6.06218i | −0.205174 | + | 0.355371i | ||||
\(292\) | 10.3923 | − | 6.00000i | 0.608164 | − | 0.351123i | ||||
\(293\) | 9.00000i | 0.525786i | 0.964825 | + | 0.262893i | \(0.0846766\pi\) | ||||
−0.964825 | + | 0.262893i | \(0.915323\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 20.0000 | + | 10.0000i | 1.16445 | + | 0.582223i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −12.9904 | − | 7.50000i | −0.753778 | − | 0.435194i | ||||
\(298\) | 17.3205 | + | 10.0000i | 1.00335 | + | 0.579284i | ||||
\(299\) | 3.00000 | + | 5.19615i | 0.173494 | + | 0.300501i | ||||
\(300\) | −8.00000 | + | 6.00000i | −0.461880 | + | 0.346410i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | − | 26.0000i | − | 1.49613i | ||||||
\(303\) | −10.3923 | + | 6.00000i | −0.597022 | + | 0.344691i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −14.9282 | + | 9.85641i | −0.854786 | + | 0.564376i | ||||
\(306\) | 14.0000 | + | 24.2487i | 0.800327 | + | 1.38621i | ||||
\(307\) | 7.00000i | 0.399511i | 0.979846 | + | 0.199756i | \(0.0640148\pi\) | ||||
−0.979846 | + | 0.199756i | \(0.935985\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 19.0000 | 1.08087 | ||||||||
\(310\) | −8.92820 | + | 0.535898i | −0.507088 | + | 0.0304370i | ||||
\(311\) | −6.00000 | + | 10.3923i | −0.340229 | + | 0.589294i | −0.984475 | − | 0.175525i | \(-0.943838\pi\) |
0.644246 | + | 0.764818i | \(0.277171\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −18.1865 | + | 10.5000i | −1.02796 | + | 0.593495i | −0.916401 | − | 0.400262i | \(-0.868919\pi\) |
−0.111563 | + | 0.993757i | \(0.535586\pi\) | |||||||
\(314\) | 36.0000 | 2.03160 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −10.0000 | −0.562544 | ||||||||
\(317\) | 10.3923 | − | 6.00000i | 0.583690 | − | 0.336994i | −0.178908 | − | 0.983866i | \(-0.557257\pi\) |
0.762598 | + | 0.646872i | \(0.223923\pi\) | |||||||
\(318\) | 10.3923 | + | 6.00000i | 0.582772 | + | 0.336463i | ||||
\(319\) | 7.50000 | − | 12.9904i | 0.419919 | − | 0.727322i | ||||
\(320\) | 1.07180 | + | 17.8564i | 0.0599153 | + | 0.998203i | ||||
\(321\) | −8.00000 | −0.446516 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 1.00000 | + | 1.73205i | 0.0555556 | + | 0.0962250i | ||||
\(325\) | 0.598076 | + | 4.96410i | 0.0331753 | + | 0.275359i | ||||
\(326\) | 14.0000 | − | 24.2487i | 0.775388 | − | 1.34301i | ||||
\(327\) | 4.33013 | − | 2.50000i | 0.239457 | − | 0.138250i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 12.0000 | + | 6.00000i | 0.660578 | + | 0.330289i | ||||
\(331\) | −6.00000 | − | 10.3923i | −0.329790 | − | 0.571213i | 0.652680 | − | 0.757634i | \(-0.273645\pi\) |
−0.982470 | + | 0.186421i | \(0.940311\pi\) | |||||||
\(332\) | 6.92820 | + | 4.00000i | 0.380235 | + | 0.219529i | ||||
\(333\) | −3.46410 | − | 2.00000i | −0.189832 | − | 0.109599i | ||||
\(334\) | −3.00000 | − | 5.19615i | −0.164153 | − | 0.284321i | ||||
\(335\) | 2.00000 | − | 4.00000i | 0.109272 | − | 0.218543i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 18.0000i | − | 0.980522i | −0.871576 | − | 0.490261i | \(-0.836901\pi\) | ||
0.871576 | − | 0.490261i | \(-0.163099\pi\) | |||||||
\(338\) | 20.7846 | − | 12.0000i | 1.13053 | − | 0.652714i | ||||
\(339\) | 3.00000 | − | 5.19615i | 0.162938 | − | 0.282216i | ||||
\(340\) | −17.2487 | − | 26.1244i | −0.935443 | − | 1.41679i | ||||
\(341\) | 3.00000 | + | 5.19615i | 0.162459 | + | 0.281387i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.803848 | − | 13.3923i | −0.0432777 | − | 0.721017i | ||||
\(346\) | 9.00000 | − | 15.5885i | 0.483843 | − | 0.838041i | ||||
\(347\) | 15.5885 | + | 9.00000i | 0.836832 | + | 0.483145i | 0.856186 | − | 0.516667i | \(-0.172828\pi\) |
−0.0193540 | + | 0.999813i | \(0.506161\pi\) | |||||||
\(348\) | 8.66025 | − | 5.00000i | 0.464238 | − | 0.268028i | ||||
\(349\) | 20.0000 | 1.07058 | 0.535288 | − | 0.844670i | \(-0.320203\pi\) | ||||
0.535288 | + | 0.844670i | \(0.320203\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.00000 | −0.266880 | ||||||||
\(352\) | 20.7846 | − | 12.0000i | 1.10782 | − | 0.639602i | ||||
\(353\) | 9.52628 | + | 5.50000i | 0.507033 | + | 0.292735i | 0.731613 | − | 0.681720i | \(-0.238768\pi\) |
−0.224580 | + | 0.974456i | \(0.572101\pi\) | |||||||
\(354\) | 10.0000 | − | 17.3205i | 0.531494 | − | 0.920575i | ||||
\(355\) | −1.07180 | − | 17.8564i | −0.0568851 | − | 0.947720i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 40.0000i | 2.11407i | ||||||||
\(359\) | −10.0000 | − | 17.3205i | −0.527780 | − | 0.914141i | −0.999476 | − | 0.0323801i | \(-0.989691\pi\) |
0.471696 | − | 0.881761i | \(-0.343642\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.50000 | − | 16.4545i | 0.500000 | − | 0.866025i | ||||
\(362\) | −31.1769 | + | 18.0000i | −1.63862 | + | 0.946059i | ||||
\(363\) | 2.00000i | 0.104973i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.00000 | + | 12.0000i | −0.314054 | + | 0.628109i | ||||
\(366\) | 8.00000 | + | 13.8564i | 0.418167 | + | 0.724286i | ||||
\(367\) | 2.59808 | + | 1.50000i | 0.135618 | + | 0.0782994i | 0.566274 | − | 0.824217i | \(-0.308384\pi\) |
−0.430656 | + | 0.902516i | \(0.641718\pi\) | |||||||
\(368\) | −20.7846 | − | 12.0000i | −1.08347 | − | 0.625543i | ||||
\(369\) | −2.00000 | − | 3.46410i | −0.104116 | − | 0.180334i | ||||
\(370\) | 8.00000 | + | 4.00000i | 0.415900 | + | 0.207950i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 4.00000i | 0.207390i | ||||||||
\(373\) | 20.7846 | − | 12.0000i | 1.07619 | − | 0.621336i | 0.146321 | − | 0.989237i | \(-0.453257\pi\) |
0.929865 | + | 0.367901i | \(0.119923\pi\) | |||||||
\(374\) | −21.0000 | + | 36.3731i | −1.08588 | + | 1.88081i | ||||
\(375\) | 3.76795 | − | 10.5263i | 0.194576 | − | 0.543575i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 5.00000i | − | 0.257513i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.0000 | −1.02733 | −0.513665 | − | 0.857991i | \(-0.671713\pi\) | ||||
−0.513665 | + | 0.857991i | \(0.671713\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.00000 | + | 1.73205i | −0.0512316 | + | 0.0887357i | ||||
\(382\) | 5.19615 | + | 3.00000i | 0.265858 | + | 0.153493i | ||||
\(383\) | −13.8564 | + | 8.00000i | −0.708029 | + | 0.408781i | −0.810331 | − | 0.585973i | \(-0.800713\pi\) |
0.102302 | + | 0.994753i | \(0.467379\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 32.0000 | 1.62876 | ||||||||
\(387\) | 6.92820 | − | 4.00000i | 0.352180 | − | 0.203331i | ||||
\(388\) | 12.1244 | + | 7.00000i | 0.615521 | + | 0.355371i | ||||
\(389\) | 2.50000 | − | 4.33013i | 0.126755 | − | 0.219546i | −0.795663 | − | 0.605740i | \(-0.792877\pi\) |
0.922418 | + | 0.386194i | \(0.126210\pi\) | |||||||
\(390\) | 4.46410 | − | 0.267949i | 0.226049 | − | 0.0135681i | ||||
\(391\) | 42.0000 | 2.12403 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | − | 22.0000i | − | 1.10975i | ||||||
\(394\) | 2.00000 | + | 3.46410i | 0.100759 | + | 0.174519i | ||||
\(395\) | 9.33013 | − | 6.16025i | 0.469450 | − | 0.309956i | ||||
\(396\) | −6.00000 | + | 10.3923i | −0.301511 | + | 0.522233i | ||||
\(397\) | 6.06218 | − | 3.50000i | 0.304252 | − | 0.175660i | −0.340099 | − | 0.940389i | \(-0.610461\pi\) |
0.644351 | + | 0.764730i | \(0.277127\pi\) | |||||||
\(398\) | 20.0000i | 1.00251i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −12.0000 | − | 16.0000i | −0.600000 | − | 0.800000i | ||||
\(401\) | 1.50000 | + | 2.59808i | 0.0749064 | + | 0.129742i | 0.901046 | − | 0.433724i | \(-0.142801\pi\) |
−0.826139 | + | 0.563466i | \(0.809468\pi\) | |||||||
\(402\) | −3.46410 | − | 2.00000i | −0.172774 | − | 0.0997509i | ||||
\(403\) | 1.73205 | + | 1.00000i | 0.0862796 | + | 0.0498135i | ||||
\(404\) | 12.0000 | + | 20.7846i | 0.597022 | + | 1.03407i | ||||
\(405\) | −2.00000 | − | 1.00000i | −0.0993808 | − | 0.0496904i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | − | 6.00000i | − | 0.297409i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 10.0000 | − | 17.3205i | 0.494468 | − | 0.856444i | −0.505511 | − | 0.862820i | \(-0.668696\pi\) |
0.999980 | + | 0.00637586i | \(0.00202951\pi\) | |||||||
\(410\) | 4.92820 | + | 7.46410i | 0.243387 | + | 0.368626i | ||||
\(411\) | −6.00000 | − | 10.3923i | −0.295958 | − | 0.512615i | ||||
\(412\) | − | 38.0000i | − | 1.87213i | ||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 24.0000 | 1.17954 | ||||||||
\(415\) | −8.92820 | + | 0.535898i | −0.438268 | + | 0.0263062i | ||||
\(416\) | 4.00000 | − | 6.92820i | 0.196116 | − | 0.339683i | ||||
\(417\) | 8.66025 | + | 5.00000i | 0.424094 | + | 0.244851i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −30.0000 | −1.46560 | −0.732798 | − | 0.680446i | \(-0.761786\pi\) | ||||
−0.732798 | + | 0.680446i | \(0.761786\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.00000 | −0.146211 | −0.0731055 | − | 0.997324i | \(-0.523291\pi\) | ||||
−0.0731055 | + | 0.997324i | \(0.523291\pi\) | |||||||
\(422\) | −22.5167 | + | 13.0000i | −1.09609 | + | 0.632830i | ||||
\(423\) | 5.19615 | + | 3.00000i | 0.252646 | + | 0.145865i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 32.1865 | + | 13.7487i | 1.56128 | + | 0.666910i | ||||
\(426\) | −16.0000 | −0.775203 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 16.0000i | 0.773389i | ||||||||
\(429\) | −1.50000 | − | 2.59808i | −0.0724207 | − | 0.125436i | ||||
\(430\) | −14.9282 | + | 9.85641i | −0.719902 | + | 0.475318i | ||||
\(431\) | 11.5000 | − | 19.9186i | 0.553936 | − | 0.959444i | −0.444050 | − | 0.896002i | \(-0.646459\pi\) |
0.997985 | − | 0.0634424i | \(-0.0202079\pi\) | |||||||
\(432\) | 17.3205 | − | 10.0000i | 0.833333 | − | 0.481125i | ||||
\(433\) | − | 26.0000i | − | 1.24948i | −0.780833 | − | 0.624740i | \(-0.785205\pi\) | ||
0.780833 | − | 0.624740i | \(-0.214795\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.00000 | + | 10.0000i | −0.239732 | + | 0.479463i | ||||
\(436\) | −5.00000 | − | 8.66025i | −0.239457 | − | 0.414751i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 10.3923 | + | 6.00000i | 0.496564 | + | 0.286691i | ||||
\(439\) | 15.0000 | + | 25.9808i | 0.715911 | + | 1.23999i | 0.962607 | + | 0.270901i | \(0.0873217\pi\) |
−0.246696 | + | 0.969093i | \(0.579345\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 14.0000i | 0.665912i | ||||||||
\(443\) | 3.46410 | − | 2.00000i | 0.164584 | − | 0.0950229i | −0.415445 | − | 0.909618i | \(-0.636374\pi\) |
0.580030 | + | 0.814595i | \(0.303041\pi\) | |||||||
\(444\) | 2.00000 | − | 3.46410i | 0.0949158 | − | 0.164399i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −21.0000 | − | 36.3731i | −0.994379 | − | 1.72231i | ||||
\(447\) | 10.0000i | 0.472984i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.00000 | 0.235965 | 0.117982 | − | 0.993016i | \(-0.462357\pi\) | ||||
0.117982 | + | 0.993016i | \(0.462357\pi\) | |||||||
\(450\) | 18.3923 | + | 7.85641i | 0.867022 | + | 0.370355i | ||||
\(451\) | 3.00000 | − | 5.19615i | 0.141264 | − | 0.244677i | ||||
\(452\) | −10.3923 | − | 6.00000i | −0.488813 | − | 0.282216i | ||||
\(453\) | 11.2583 | − | 6.50000i | 0.528962 | − | 0.305397i | ||||
\(454\) | −34.0000 | −1.59570 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −32.9090 | + | 19.0000i | −1.53942 | + | 0.888783i | −0.540544 | + | 0.841316i | \(0.681781\pi\) |
−0.998873 | + | 0.0474665i | \(0.984885\pi\) | |||||||
\(458\) | −17.3205 | − | 10.0000i | −0.809334 | − | 0.467269i | ||||
\(459\) | −17.5000 | + | 30.3109i | −0.816830 | + | 1.41479i | ||||
\(460\) | −26.7846 | + | 1.60770i | −1.24884 | + | 0.0749592i | ||||
\(461\) | 12.0000 | 0.558896 | 0.279448 | − | 0.960161i | \(-0.409849\pi\) | ||||
0.279448 | + | 0.960161i | \(0.409849\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 36.0000i | − | 1.67306i | −0.547920 | − | 0.836531i | \(-0.684580\pi\) | ||
0.547920 | − | 0.836531i | \(-0.315420\pi\) | |||||||
\(464\) | 10.0000 | + | 17.3205i | 0.464238 | + | 0.804084i | ||||
\(465\) | −2.46410 | − | 3.73205i | −0.114270 | − | 0.173070i | ||||
\(466\) | −16.0000 | + | 27.7128i | −0.741186 | + | 1.28377i | ||||
\(467\) | 23.3827 | − | 13.5000i | 1.08202 | − | 0.624705i | 0.150581 | − | 0.988598i | \(-0.451886\pi\) |
0.931441 | + | 0.363892i | \(0.118552\pi\) | |||||||
\(468\) | 4.00000i | 0.184900i | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −12.0000 | − | 6.00000i | −0.553519 | − | 0.276759i | ||||
\(471\) | 9.00000 | + | 15.5885i | 0.414698 | + | 0.718278i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 10.3923 | + | 6.00000i | 0.477839 | + | 0.275880i | ||||
\(474\) | −5.00000 | − | 8.66025i | −0.229658 | − | 0.397779i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 12.0000i | − | 0.549442i | ||||||
\(478\) | −25.9808 | + | 15.0000i | −1.18833 | + | 0.686084i | ||||
\(479\) | −15.0000 | + | 25.9808i | −0.685367 | + | 1.18709i | 0.287954 | + | 0.957644i | \(0.407025\pi\) |
−0.973321 | + | 0.229447i | \(0.926308\pi\) | |||||||
\(480\) | −14.9282 | + | 9.85641i | −0.681376 | + | 0.449881i | ||||
\(481\) | −1.00000 | − | 1.73205i | −0.0455961 | − | 0.0789747i | ||||
\(482\) | 44.0000i | 2.00415i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.00000 | 0.181818 | ||||||||
\(485\) | −15.6244 | + | 0.937822i | −0.709465 | + | 0.0425843i | ||||
\(486\) | −16.0000 | + | 27.7128i | −0.725775 | + | 1.25708i | ||||
\(487\) | −36.3731 | − | 21.0000i | −1.64822 | − | 0.951601i | −0.977779 | − | 0.209639i | \(-0.932771\pi\) |
−0.670442 | − | 0.741962i | \(-0.733896\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 14.0000 | 0.633102 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 7.00000 | 0.315906 | 0.157953 | − | 0.987447i | \(-0.449511\pi\) | ||||
0.157953 | + | 0.987447i | \(0.449511\pi\) | |||||||
\(492\) | 3.46410 | − | 2.00000i | 0.156174 | − | 0.0901670i | ||||
\(493\) | −30.3109 | − | 17.5000i | −1.36513 | − | 0.788160i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.803848 | − | 13.3923i | −0.0361303 | − | 0.601939i | ||||
\(496\) | −8.00000 | −0.359211 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 8.00000i | 0.358489i | ||||||||
\(499\) | −17.5000 | − | 30.3109i | −0.783408 | − | 1.35690i | −0.929946 | − | 0.367697i | \(-0.880146\pi\) |
0.146538 | − | 0.989205i | \(-0.453187\pi\) | |||||||
\(500\) | −21.0526 | − | 7.53590i | −0.941499 | − | 0.337016i | ||||
\(501\) | 1.50000 | − | 2.59808i | 0.0670151 | − | 0.116073i | ||||
\(502\) | −31.1769 | + | 18.0000i | −1.39149 | + | 0.803379i | ||||
\(503\) | 9.00000i | 0.401290i | 0.979664 | + | 0.200645i | \(0.0643038\pi\) | ||||
−0.979664 | + | 0.200645i | \(0.935696\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −24.0000 | − | 12.0000i | −1.06799 | − | 0.533993i | ||||
\(506\) | 18.0000 | + | 31.1769i | 0.800198 | + | 1.38598i | ||||
\(507\) | 10.3923 | + | 6.00000i | 0.461538 | + | 0.266469i | ||||
\(508\) | 3.46410 | + | 2.00000i | 0.153695 | + | 0.0887357i | ||||
\(509\) | −15.0000 | − | 25.9808i | −0.664863 | − | 1.15158i | −0.979322 | − | 0.202306i | \(-0.935156\pi\) |
0.314459 | − | 0.949271i | \(-0.398177\pi\) | |||||||
\(510\) | 14.0000 | − | 28.0000i | 0.619930 | − | 1.23986i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 32.0000i | 1.41421i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 22.0000 | − | 38.1051i | 0.970378 | − | 1.68074i | ||||
\(515\) | 23.4090 | + | 35.4545i | 1.03152 | + | 1.56231i | ||||
\(516\) | 4.00000 | + | 6.92820i | 0.176090 | + | 0.304997i | ||||
\(517\) | 9.00000i | 0.395820i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 9.00000 | 0.395056 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 14.0000 | − | 24.2487i | 0.613351 | − | 1.06236i | −0.377320 | − | 0.926083i | \(-0.623154\pi\) |
0.990671 | − | 0.136272i | \(-0.0435123\pi\) | |||||||
\(522\) | −17.3205 | − | 10.0000i | −0.758098 | − | 0.437688i | ||||
\(523\) | 3.46410 | − | 2.00000i | 0.151475 | − | 0.0874539i | −0.422347 | − | 0.906434i | \(-0.638794\pi\) |
0.573822 | + | 0.818980i | \(0.305460\pi\) | |||||||
\(524\) | −44.0000 | −1.92215 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −48.0000 | −2.09290 | ||||||||
\(527\) | 12.1244 | − | 7.00000i | 0.528145 | − | 0.304925i | ||||
\(528\) | 10.3923 | + | 6.00000i | 0.452267 | + | 0.261116i | ||||
\(529\) | 6.50000 | − | 11.2583i | 0.282609 | − | 0.489493i | ||||
\(530\) | 1.60770 | + | 26.7846i | 0.0698338 | + | 1.16345i | ||||
\(531\) | −20.0000 | −0.867926 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 2.00000i | − | 0.0866296i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −9.85641 | − | 14.9282i | −0.426130 | − | 0.645403i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −17.3205 | + | 10.0000i | −0.747435 | + | 0.431532i | ||||
\(538\) | − | 20.0000i | − | 0.862261i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 10.0000 | − | 20.0000i | 0.430331 | − | 0.860663i | ||||
\(541\) | −13.5000 | − | 23.3827i | −0.580410 | − | 1.00530i | −0.995431 | − | 0.0954880i | \(-0.969559\pi\) |
0.415020 | − | 0.909812i | \(-0.363774\pi\) | |||||||
\(542\) | 13.8564 | + | 8.00000i | 0.595184 | + | 0.343629i | ||||
\(543\) | −15.5885 | − | 9.00000i | −0.668965 | − | 0.386227i | ||||
\(544\) | −28.0000 | − | 48.4974i | −1.20049 | − | 2.07931i | ||||
\(545\) | 10.0000 | + | 5.00000i | 0.428353 | + | 0.214176i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 32.0000i | 1.36822i | 0.729378 | + | 0.684111i | \(0.239809\pi\) | ||||
−0.729378 | + | 0.684111i | \(0.760191\pi\) | |||||||
\(548\) | −20.7846 | + | 12.0000i | −0.887875 | + | 0.512615i | ||||
\(549\) | 8.00000 | − | 13.8564i | 0.341432 | − | 0.591377i | ||||
\(550\) | 3.58846 | + | 29.7846i | 0.153012 | + | 1.27002i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −4.00000 | −0.169944 | ||||||||
\(555\) | 0.267949 | + | 4.46410i | 0.0113738 | + | 0.189491i | ||||
\(556\) | 10.0000 | − | 17.3205i | 0.424094 | − | 0.734553i | ||||
\(557\) | 24.2487 | + | 14.0000i | 1.02745 | + | 0.593199i | 0.916253 | − | 0.400599i | \(-0.131198\pi\) |
0.111198 | + | 0.993798i | \(0.464531\pi\) | |||||||
\(558\) | 6.92820 | − | 4.00000i | 0.293294 | − | 0.169334i | ||||
\(559\) | 4.00000 | 0.169182 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −21.0000 | −0.886621 | ||||||||
\(562\) | 12.1244 | − | 7.00000i | 0.511435 | − | 0.295277i | ||||
\(563\) | −20.7846 | − | 12.0000i | −0.875967 | − | 0.505740i | −0.00664037 | − | 0.999978i | \(-0.502114\pi\) |
−0.869326 | + | 0.494238i | \(0.835447\pi\) | |||||||
\(564\) | −3.00000 | + | 5.19615i | −0.126323 | + | 0.218797i | ||||
\(565\) | 13.3923 | − | 0.803848i | 0.563418 | − | 0.0338181i | ||||
\(566\) | 22.0000 | 0.924729 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −15.0000 | − | 25.9808i | −0.628833 | − | 1.08917i | −0.987786 | − | 0.155815i | \(-0.950200\pi\) |
0.358954 | − | 0.933355i | \(-0.383134\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.00000 | + | 10.3923i | −0.251092 | + | 0.434904i | −0.963827 | − | 0.266529i | \(-0.914123\pi\) |
0.712735 | + | 0.701434i | \(0.247456\pi\) | |||||||
\(572\) | −5.19615 | + | 3.00000i | −0.217262 | + | 0.125436i | ||||
\(573\) | 3.00000i | 0.125327i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 24.0000 | − | 18.0000i | 1.00087 | − | 0.750652i | ||||
\(576\) | −8.00000 | − | 13.8564i | −0.333333 | − | 0.577350i | ||||
\(577\) | 37.2391 | + | 21.5000i | 1.55028 | + | 0.895057i | 0.998118 | + | 0.0613223i | \(0.0195318\pi\) |
0.552166 | + | 0.833734i | \(0.313802\pi\) | |||||||
\(578\) | 55.4256 | + | 32.0000i | 2.30540 | + | 1.33102i | ||||
\(579\) | 8.00000 | + | 13.8564i | 0.332469 | + | 0.575853i | ||||
\(580\) | 20.0000 | + | 10.0000i | 0.830455 | + | 0.415227i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 14.0000i | 0.580319i | ||||||||
\(583\) | 15.5885 | − | 9.00000i | 0.645608 | − | 0.372742i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.46410 | − | 3.73205i | −0.101878 | − | 0.154301i | ||||
\(586\) | 9.00000 | + | 15.5885i | 0.371787 | + | 0.643953i | ||||
\(587\) | 12.0000i | 0.495293i | 0.968850 | + | 0.247647i | \(0.0796572\pi\) | ||||
−0.968850 | + | 0.247647i | \(0.920343\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 44.6410 | − | 2.67949i | 1.83784 | − | 0.110313i | ||||
\(591\) | −1.00000 | + | 1.73205i | −0.0411345 | + | 0.0712470i | ||||
\(592\) | 6.92820 | + | 4.00000i | 0.284747 | + | 0.164399i | ||||
\(593\) | −35.5070 | + | 20.5000i | −1.45810 | + | 0.841834i | −0.998918 | − | 0.0465084i | \(-0.985191\pi\) |
−0.459182 | + | 0.888342i | \(0.651857\pi\) | |||||||
\(594\) | −30.0000 | −1.23091 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 20.0000 | 0.819232 | ||||||||
\(597\) | −8.66025 | + | 5.00000i | −0.354441 | + | 0.204636i | ||||
\(598\) | 10.3923 | + | 6.00000i | 0.424973 | + | 0.245358i | ||||
\(599\) | 12.5000 | − | 21.6506i | 0.510736 | − | 0.884621i | −0.489186 | − | 0.872179i | \(-0.662706\pi\) |
0.999923 | − | 0.0124417i | \(-0.00396043\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −8.00000 | −0.326327 | −0.163163 | − | 0.986599i | \(-0.552170\pi\) | ||||
−0.163163 | + | 0.986599i | \(0.552170\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.00000i | 0.162893i | ||||||||
\(604\) | −13.0000 | − | 22.5167i | −0.528962 | − | 0.916190i | ||||
\(605\) | −3.73205 | + | 2.46410i | −0.151729 | + | 0.100180i | ||||
\(606\) | −12.0000 | + | 20.7846i | −0.487467 | + | 0.844317i | ||||
\(607\) | 23.3827 | − | 13.5000i | 0.949074 | − | 0.547948i | 0.0562808 | − | 0.998415i | \(-0.482076\pi\) |
0.892793 | + | 0.450467i | \(0.148742\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −16.0000 | + | 32.0000i | −0.647821 | + | 1.29564i | ||||
\(611\) | 1.50000 | + | 2.59808i | 0.0606835 | + | 0.105107i | ||||
\(612\) | 24.2487 | + | 14.0000i | 0.980196 | + | 0.565916i | ||||
\(613\) | −38.1051 | − | 22.0000i | −1.53905 | − | 0.888572i | −0.998895 | − | 0.0470071i | \(-0.985032\pi\) |
−0.540157 | − | 0.841564i | \(-0.681635\pi\) | |||||||
\(614\) | 7.00000 | + | 12.1244i | 0.282497 | + | 0.489299i | ||||
\(615\) | −2.00000 | + | 4.00000i | −0.0806478 | + | 0.161296i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 22.0000i | 0.885687i | 0.896599 | + | 0.442843i | \(0.146030\pi\) | ||||
−0.896599 | + | 0.442843i | \(0.853970\pi\) | |||||||
\(618\) | 32.9090 | − | 19.0000i | 1.32379 | − | 0.764292i | ||||
\(619\) | 5.00000 | − | 8.66025i | 0.200967 | − | 0.348085i | −0.747873 | − | 0.663842i | \(-0.768925\pi\) |
0.948840 | + | 0.315757i | \(0.102258\pi\) | |||||||
\(620\) | −7.46410 | + | 4.92820i | −0.299766 | + | 0.197921i | ||||
\(621\) | 15.0000 | + | 25.9808i | 0.601929 | + | 1.04257i | ||||
\(622\) | 24.0000i | 0.962312i | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 4.00000 | 0.160128 | ||||||||
\(625\) | 24.2846 | − | 5.93782i | 0.971384 | − | 0.237513i | ||||
\(626\) | −21.0000 | + | 36.3731i | −0.839329 | + | 1.45376i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 31.1769 | − | 18.0000i | 1.24409 | − | 0.718278i | ||||
\(629\) | −14.0000 | −0.558217 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 37.0000 | 1.47295 | 0.736473 | − | 0.676467i | \(-0.236490\pi\) | ||||
0.736473 | + | 0.676467i | \(0.236490\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −11.2583 | − | 6.50000i | −0.447478 | − | 0.258352i | ||||
\(634\) | 12.0000 | − | 20.7846i | 0.476581 | − | 0.825462i | ||||
\(635\) | −4.46410 | + | 0.267949i | −0.177152 | + | 0.0106332i | ||||
\(636\) | 12.0000 | 0.475831 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 30.0000i | − | 1.18771i | ||||||
\(639\) | 8.00000 | + | 13.8564i | 0.316475 | + | 0.548151i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −11.0000 | + | 19.0526i | −0.434474 | + | 0.752531i | −0.997253 | − | 0.0740768i | \(-0.976399\pi\) |
0.562779 | + | 0.826608i | \(0.309732\pi\) | |||||||
\(642\) | −13.8564 | + | 8.00000i | −0.546869 | + | 0.315735i | ||||
\(643\) | − | 1.00000i | − | 0.0394362i | −0.999806 | − | 0.0197181i | \(-0.993723\pi\) | ||
0.999806 | − | 0.0197181i | \(-0.00627687\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −8.00000 | − | 4.00000i | −0.315000 | − | 0.157500i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 6.92820 | + | 4.00000i | 0.272376 | + | 0.157256i | 0.629967 | − | 0.776622i | \(-0.283068\pi\) |
−0.357591 | + | 0.933878i | \(0.616402\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −15.0000 | − | 25.9808i | −0.588802 | − | 1.01983i | ||||
\(650\) | 6.00000 | + | 8.00000i | 0.235339 | + | 0.313786i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | − | 28.0000i | − | 1.09656i | ||||||
\(653\) | 3.46410 | − | 2.00000i | 0.135561 | − | 0.0782660i | −0.430686 | − | 0.902502i | \(-0.641728\pi\) |
0.566247 | + | 0.824236i | \(0.308395\pi\) | |||||||
\(654\) | 5.00000 | − | 8.66025i | 0.195515 | − | 0.338643i | ||||
\(655\) | 41.0526 | − | 27.1051i | 1.60406 | − | 1.05908i | ||||
\(656\) | 4.00000 | + | 6.92820i | 0.156174 | + | 0.270501i | ||||
\(657\) | − | 12.0000i | − | 0.468165i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 15.0000 | 0.584317 | 0.292159 | − | 0.956370i | \(-0.405627\pi\) | ||||
0.292159 | + | 0.956370i | \(0.405627\pi\) | |||||||
\(660\) | 13.3923 | − | 0.803848i | 0.521295 | − | 0.0312897i | ||||
\(661\) | −6.00000 | + | 10.3923i | −0.233373 | + | 0.404214i | −0.958799 | − | 0.284087i | \(-0.908310\pi\) |
0.725426 | + | 0.688301i | \(0.241643\pi\) | |||||||
\(662\) | −20.7846 | − | 12.0000i | −0.807817 | − | 0.466393i | ||||
\(663\) | −6.06218 | + | 3.50000i | −0.235435 | + | 0.135929i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −8.00000 | −0.309994 | ||||||||
\(667\) | −25.9808 | + | 15.0000i | −1.00598 | + | 0.580802i | ||||
\(668\) | −5.19615 | − | 3.00000i | −0.201045 | − | 0.116073i | ||||
\(669\) | 10.5000 | − | 18.1865i | 0.405953 | − | 0.703132i | ||||
\(670\) | −0.535898 | − | 8.92820i | −0.0207036 | − | 0.344927i | ||||
\(671\) | 24.0000 | 0.926510 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 24.0000i | 0.925132i | 0.886585 | + | 0.462566i | \(0.153071\pi\) | ||||
−0.886585 | + | 0.462566i | \(0.846929\pi\) | |||||||
\(674\) | −18.0000 | − | 31.1769i | −0.693334 | − | 1.20089i | ||||
\(675\) | 2.99038 | + | 24.8205i | 0.115100 | + | 0.955342i | ||||
\(676\) | 12.0000 | − | 20.7846i | 0.461538 | − | 0.799408i | ||||
\(677\) | −37.2391 | + | 21.5000i | −1.43121 | + | 0.826312i | −0.997214 | − | 0.0746002i | \(-0.976232\pi\) |
−0.434001 | + | 0.900912i | \(0.642899\pi\) | |||||||
\(678\) | − | 12.0000i | − | 0.460857i | ||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −8.50000 | − | 14.7224i | −0.325721 | − | 0.564165i | ||||
\(682\) | 10.3923 | + | 6.00000i | 0.397942 | + | 0.229752i | ||||
\(683\) | 13.8564 | + | 8.00000i | 0.530201 | + | 0.306111i | 0.741098 | − | 0.671397i | \(-0.234305\pi\) |
−0.210898 | + | 0.977508i | \(0.567639\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 12.0000 | − | 24.0000i | 0.458496 | − | 0.916993i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 10.0000i | − | 0.381524i | ||||||
\(688\) | −13.8564 | + | 8.00000i | −0.528271 | + | 0.304997i | ||||
\(689\) | 3.00000 | − | 5.19615i | 0.114291 | − | 0.197958i | ||||
\(690\) | −14.7846 | − | 22.3923i | −0.562840 | − | 0.852460i | ||||
\(691\) | 4.00000 | + | 6.92820i | 0.152167 | + | 0.263561i | 0.932024 | − | 0.362397i | \(-0.118041\pi\) |
−0.779857 | + | 0.625958i | \(0.784708\pi\) | |||||||
\(692\) | − | 18.0000i | − | 0.684257i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 36.0000 | 1.36654 | ||||||||
\(695\) | 1.33975 | + | 22.3205i | 0.0508195 | + | 0.846665i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −12.1244 | − | 7.00000i | −0.459243 | − | 0.265144i | ||||
\(698\) | 34.6410 | − | 20.0000i | 1.31118 | − | 0.757011i | ||||
\(699\) | −16.0000 | −0.605176 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −13.0000 | −0.491003 | −0.245502 | − | 0.969396i | \(-0.578953\pi\) | ||||
−0.245502 | + | 0.969396i | \(0.578953\pi\) | |||||||
\(702\) | −8.66025 | + | 5.00000i | −0.326860 | + | 0.188713i | ||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 12.0000 | − | 20.7846i | 0.452267 | − | 0.783349i | ||||
\(705\) | −0.401924 | − | 6.69615i | −0.0151373 | − | 0.252192i | ||||
\(706\) | 22.0000 | 0.827981 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | − | 20.0000i | − | 0.751646i | ||||||
\(709\) | 17.5000 | + | 30.3109i | 0.657226 | + | 1.13835i | 0.981331 | + | 0.192328i | \(0.0616038\pi\) |
−0.324104 | + | 0.946021i | \(0.605063\pi\) | |||||||
\(710\) | −19.7128 | − | 29.8564i | −0.739809 | − | 1.12049i | ||||
\(711\) | −5.00000 | + | 8.66025i | −0.187515 | + | 0.324785i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | − | 12.0000i | − | 0.449404i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.00000 | − | 6.00000i | 0.112194 | − | 0.224387i | ||||
\(716\) | 20.0000 | + | 34.6410i | 0.747435 | + | 1.29460i | ||||
\(717\) | −12.9904 | − | 7.50000i | −0.485135 | − | 0.280093i | ||||
\(718\) | −34.6410 | − | 20.0000i | −1.29279 | − | 0.746393i | ||||
\(719\) | 15.0000 | + | 25.9808i | 0.559406 | + | 0.968919i | 0.997546 | + | 0.0700124i | \(0.0223039\pi\) |
−0.438141 | + | 0.898906i | \(0.644363\pi\) | |||||||
\(720\) | 16.0000 | + | 8.00000i | 0.596285 | + | 0.298142i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | − | 38.0000i | − | 1.41421i | ||||||
\(723\) | −19.0526 | + | 11.0000i | −0.708572 | + | 0.409094i | ||||
\(724\) | −18.0000 | + | 31.1769i | −0.668965 | + | 1.15868i | ||||
\(725\) | −24.8205 | + | 2.99038i | −0.921811 | + | 0.111060i | ||||
\(726\) | 2.00000 | + | 3.46410i | 0.0742270 | + | 0.128565i | ||||
\(727\) | − | 28.0000i | − | 1.03846i | −0.854634 | − | 0.519231i | \(-0.826218\pi\) | ||
0.854634 | − | 0.519231i | \(-0.173782\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −13.0000 | −0.481481 | ||||||||
\(730\) | 1.60770 | + | 26.7846i | 0.0595035 | + | 0.991343i | ||||
\(731\) | 14.0000 | − | 24.2487i | 0.517809 | − | 0.896871i | ||||
\(732\) | 13.8564 | + | 8.00000i | 0.512148 | + | 0.295689i | ||||
\(733\) | −0.866025 | + | 0.500000i | −0.0319874 | + | 0.0184679i | −0.515908 | − | 0.856644i | \(-0.672546\pi\) |
0.483921 | + | 0.875112i | \(0.339212\pi\) | |||||||
\(734\) | 6.00000 | 0.221464 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −48.0000 | −1.76930 | ||||||||
\(737\) | −5.19615 | + | 3.00000i | −0.191403 | + | 0.110506i | ||||
\(738\) | −6.92820 | − | 4.00000i | −0.255031 | − | 0.147242i | ||||
\(739\) | −17.5000 | + | 30.3109i | −0.643748 | + | 1.11500i | 0.340841 | + | 0.940121i | \(0.389288\pi\) |
−0.984589 | + | 0.174883i | \(0.944045\pi\) | |||||||
\(740\) | 8.92820 | − | 0.535898i | 0.328207 | − | 0.0197000i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.0000i | 0.513610i | 0.966463 | + | 0.256805i | \(0.0826698\pi\) | ||||
−0.966463 | + | 0.256805i | \(0.917330\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −18.6603 | + | 12.3205i | −0.683659 | + | 0.451388i | ||||
\(746\) | 24.0000 | − | 41.5692i | 0.878702 | − | 1.52196i | ||||
\(747\) | 6.92820 | − | 4.00000i | 0.253490 | − | 0.146352i | ||||
\(748\) | 42.0000i | 1.53567i | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −4.00000 | − | 22.0000i | −0.146059 | − | 0.803326i | ||||
\(751\) | 16.5000 | + | 28.5788i | 0.602094 | + | 1.04286i | 0.992504 | + | 0.122216i | \(0.0389999\pi\) |
−0.390410 | + | 0.920641i | \(0.627667\pi\) | |||||||
\(752\) | −10.3923 | − | 6.00000i | −0.378968 | − | 0.218797i | ||||
\(753\) | −15.5885 | − | 9.00000i | −0.568075 | − | 0.327978i | ||||
\(754\) | −5.00000 | − | 8.66025i | −0.182089 | − | 0.315388i | ||||
\(755\) | 26.0000 | + | 13.0000i | 0.946237 | + | 0.473118i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 32.0000i | 1.16306i | 0.813525 | + | 0.581530i | \(0.197546\pi\) | ||||
−0.813525 | + | 0.581530i | \(0.802454\pi\) | |||||||
\(758\) | −34.6410 | + | 20.0000i | −1.25822 | + | 0.726433i | ||||
\(759\) | −9.00000 | + | 15.5885i | −0.326679 | + | 0.565825i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.00000 | − | 1.73205i | −0.0362500 | − | 0.0627868i | 0.847331 | − | 0.531065i | \(-0.178208\pi\) |
−0.883581 | + | 0.468278i | \(0.844875\pi\) | |||||||
\(762\) | 4.00000i | 0.144905i | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 6.00000 | 0.217072 | ||||||||
\(765\) | −31.2487 | + | 1.87564i | −1.12980 | + | 0.0678141i | ||||
\(766\) | −16.0000 | + | 27.7128i | −0.578103 | + | 1.00130i | ||||
\(767\) | −8.66025 | − | 5.00000i | −0.312704 | − | 0.180540i | ||||
\(768\) | −13.8564 | + | 8.00000i | −0.500000 | + | 0.288675i | ||||
\(769\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 22.0000 | 0.792311 | ||||||||
\(772\) | 27.7128 | − | 16.0000i | 0.997406 | − | 0.575853i | ||||
\(773\) | 18.1865 | + | 10.5000i | 0.654124 | + | 0.377659i | 0.790034 | − | 0.613062i | \(-0.210063\pi\) |
−0.135910 | + | 0.990721i | \(0.543396\pi\) | |||||||
\(774\) | 8.00000 | − | 13.8564i | 0.287554 | − | 0.498058i | ||||
\(775\) | 3.92820 | − | 9.19615i | 0.141105 | − | 0.330336i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | − | 10.0000i | − | 0.358517i | ||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 3.73205 | − | 2.46410i | 0.133629 | − | 0.0882290i | ||||
\(781\) | −12.0000 | + | 20.7846i | −0.429394 | + | 0.743732i | ||||
\(782\) | 72.7461 | − | 42.0000i | 2.60140 | − | 1.50192i | ||||
\(783\) | − | 25.0000i | − | 0.893427i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −18.0000 | + | 36.0000i | −0.642448 | + | 1.28490i | ||||
\(786\) | −22.0000 | − | 38.1051i | −0.784714 | − | 1.35916i | ||||
\(787\) | −14.7224 | − | 8.50000i | −0.524798 | − | 0.302992i | 0.214097 | − | 0.976812i | \(-0.431319\pi\) |
−0.738896 | + | 0.673820i | \(0.764652\pi\) | |||||||
\(788\) | 3.46410 | + | 2.00000i | 0.123404 | + | 0.0712470i | ||||
\(789\) | −12.0000 | − | 20.7846i | −0.427211 | − | 0.739952i | ||||
\(790\) | 10.0000 | − | 20.0000i | 0.355784 | − | 0.711568i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 6.92820 | − | 4.00000i | 0.246028 | − | 0.142044i | ||||
\(794\) | 7.00000 | − | 12.1244i | 0.248421 | − | 0.430277i | ||||
\(795\) | −11.1962 | + | 7.39230i | −0.397087 | + | 0.262178i | ||||
\(796\) | 10.0000 | + | 17.3205i | 0.354441 | + | 0.613909i | ||||
\(797\) | − | 13.0000i | − | 0.460484i | −0.973133 | − | 0.230242i | \(-0.926048\pi\) | ||
0.973133 | − | 0.230242i | \(-0.0739517\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 21.0000 | 0.742927 | ||||||||
\(800\) | −36.7846 | − | 15.7128i | −1.30053 | − | 0.555532i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 5.19615 | + | 3.00000i | 0.183483 | + | 0.105934i | ||||
\(803\) | 15.5885 | − | 9.00000i | 0.550105 | − | 0.317603i | ||||
\(804\) | −4.00000 | −0.141069 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 4.00000 | 0.140894 | ||||||||
\(807\) | 8.66025 | − | 5.00000i | 0.304855 | − | 0.176008i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 22.5000 | − | 38.9711i | 0.791058 | − | 1.37015i | −0.134255 | − | 0.990947i | \(-0.542864\pi\) |
0.925312 | − | 0.379206i | \(-0.123803\pi\) | |||||||
\(810\) | −4.46410 | + | 0.267949i | −0.156853 | + | 0.00941477i | ||||
\(811\) | −38.0000 | −1.33436 | −0.667180 | − | 0.744896i | \(-0.732499\pi\) | ||||
−0.667180 | + | 0.744896i | \(0.732499\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 8.00000i | 0.280572i | ||||||||
\(814\) | −6.00000 | − | 10.3923i | −0.210300 | − | 0.364250i | ||||
\(815\) | 17.2487 | + | 26.1244i | 0.604196 | + | 0.915096i | ||||
\(816\) | 14.0000 | − | 24.2487i | 0.490098 | − | 0.848875i | ||||
\(817\) | 0 | 0 | ||||||||
\(818\) | − | 40.0000i | − | 1.39857i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 8.00000 | + | 4.00000i | 0.279372 | + | 0.139686i | ||||
\(821\) | 11.5000 | + | 19.9186i | 0.401353 | + | 0.695163i | 0.993889 | − | 0.110380i | \(-0.0352068\pi\) |
−0.592537 | + | 0.805543i | \(0.701873\pi\) | |||||||
\(822\) | −20.7846 | − | 12.0000i | −0.724947 | − | 0.418548i | ||||
\(823\) | 22.5167 | + | 13.0000i | 0.784881 | + | 0.453152i | 0.838157 | − | 0.545428i | \(-0.183633\pi\) |
−0.0532760 | + | 0.998580i | \(0.516966\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −12.0000 | + | 9.00000i | −0.417786 | + | 0.313340i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 18.0000i | − | 0.625921i | −0.949766 | − | 0.312961i | \(-0.898679\pi\) | ||
0.949766 | − | 0.312961i | \(-0.101321\pi\) | |||||||
\(828\) | 20.7846 | − | 12.0000i | 0.722315 | − | 0.417029i | ||||
\(829\) | −15.0000 | + | 25.9808i | −0.520972 | + | 0.902349i | 0.478731 | + | 0.877962i | \(0.341097\pi\) |
−0.999703 | + | 0.0243876i | \(0.992236\pi\) | |||||||
\(830\) | −14.9282 | + | 9.85641i | −0.518165 | + | 0.342121i | ||||
\(831\) | −1.00000 | − | 1.73205i | −0.0346896 | − | 0.0600842i | ||||
\(832\) | − | 8.00000i | − | 0.277350i | ||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 20.0000 | 0.692543 | ||||||||
\(835\) | 6.69615 | − | 0.401924i | 0.231730 | − | 0.0139091i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 8.66025 | + | 5.00000i | 0.299342 | + | 0.172825i | ||||
\(838\) | −51.9615 | + | 30.0000i | −1.79498 | + | 1.03633i | ||||
\(839\) | −30.0000 | −1.03572 | −0.517858 | − | 0.855467i | \(-0.673270\pi\) | ||||
−0.517858 | + | 0.855467i | \(0.673270\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.00000 | −0.137931 | ||||||||
\(842\) | −5.19615 | + | 3.00000i | −0.179071 | + | 0.103387i | ||||
\(843\) | 6.06218 | + | 3.50000i | 0.208792 | + | 0.120546i | ||||
\(844\) | −13.0000 | + | 22.5167i | −0.447478 | + | 0.775055i | ||||
\(845\) | 1.60770 | + | 26.7846i | 0.0553064 | + | 0.921419i | ||||
\(846\) | 12.0000 | 0.412568 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 24.0000i | 0.824163i | ||||||||
\(849\) | 5.50000 | + | 9.52628i | 0.188760 | + | 0.326941i | ||||
\(850\) | 69.4974 | − | 8.37307i | 2.38374 | − | 0.287194i | ||||
\(851\) | −6.00000 | + | 10.3923i | −0.205677 | + | 0.356244i | ||||
\(852\) | −13.8564 | + | 8.00000i | −0.474713 | + | 0.274075i | ||||
\(853\) | 54.0000i | 1.84892i | 0.381273 | + | 0.924462i | \(0.375486\pi\) | ||||
−0.381273 | + | 0.924462i | \(0.624514\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −36.3731 | − | 21.0000i | −1.24248 | − | 0.717346i | −0.272882 | − | 0.962048i | \(-0.587977\pi\) |
−0.969599 | + | 0.244701i | \(0.921310\pi\) | |||||||
\(858\) | −5.19615 | − | 3.00000i | −0.177394 | − | 0.102418i | ||||
\(859\) | 20.0000 | + | 34.6410i | 0.682391 | + | 1.18194i | 0.974249 | + | 0.225475i | \(0.0723932\pi\) |
−0.291858 | + | 0.956462i | \(0.594273\pi\) | |||||||
\(860\) | −8.00000 | + | 16.0000i | −0.272798 | + | 0.545595i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | − | 46.0000i | − | 1.56677i | ||||||
\(863\) | 46.7654 | − | 27.0000i | 1.59191 | − | 0.919091i | 0.598933 | − | 0.800799i | \(-0.295592\pi\) |
0.992979 | − | 0.118291i | \(-0.0377417\pi\) | |||||||
\(864\) | 20.0000 | − | 34.6410i | 0.680414 | − | 1.17851i | ||||
\(865\) | 11.0885 | + | 16.7942i | 0.377019 | + | 0.571021i | ||||
\(866\) | −26.0000 | − | 45.0333i | −0.883516 | − | 1.53029i | ||||
\(867\) | 32.0000i | 1.08678i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −15.0000 | −0.508840 | ||||||||
\(870\) | 1.33975 | + | 22.3205i | 0.0454216 | + | 0.756736i | ||||
\(871\) | −1.00000 | + | 1.73205i | −0.0338837 | + | 0.0586883i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 12.1244 | − | 7.00000i | 0.410347 | − | 0.236914i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 12.0000 | 0.405442 | ||||||||
\(877\) | 27.7128 | − | 16.0000i | 0.935795 | − | 0.540282i | 0.0471555 | − | 0.998888i | \(-0.484984\pi\) |
0.888640 | + | 0.458606i | \(0.151651\pi\) | |||||||
\(878\) | 51.9615 | + | 30.0000i | 1.75362 | + | 1.01245i | ||||
\(879\) | −4.50000 | + | 7.79423i | −0.151781 | + | 0.262893i | ||||
\(880\) | 1.60770 | + | 26.7846i | 0.0541954 | + | 0.902909i | ||||
\(881\) | 32.0000 | 1.07811 | 0.539054 | − | 0.842271i | \(-0.318782\pi\) | ||||
0.539054 | + | 0.842271i | \(0.318782\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 36.0000i | − | 1.21150i | −0.795656 | − | 0.605748i | \(-0.792874\pi\) | ||
0.795656 | − | 0.605748i | \(-0.207126\pi\) | |||||||
\(884\) | 7.00000 | + | 12.1244i | 0.235435 | + | 0.407786i | ||||
\(885\) | 12.3205 | + | 18.6603i | 0.414149 | + | 0.627258i | ||||
\(886\) | 4.00000 | − | 6.92820i | 0.134383 | − | 0.232758i | ||||
\(887\) | −24.2487 | + | 14.0000i | −0.814192 | + | 0.470074i | −0.848410 | − | 0.529340i | \(-0.822439\pi\) |
0.0342175 | + | 0.999414i | \(0.489106\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.50000 | + | 2.59808i | 0.0502519 | + | 0.0870388i | ||||
\(892\) | −36.3731 | − | 21.0000i | −1.21786 | − | 0.703132i | ||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 10.0000 | + | 17.3205i | 0.334450 | + | 0.579284i | ||||
\(895\) | −40.0000 | − | 20.0000i | −1.33705 | − | 0.668526i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 6.00000i | 0.200334i | ||||||||
\(898\) | 8.66025 | − | 5.00000i | 0.288996 | − | 0.166852i | ||||
\(899\) | −5.00000 | + | 8.66025i | −0.166759 | + | 0.288836i | ||||
\(900\) | 19.8564 | − | 2.39230i | 0.661880 | − | 0.0797435i | ||||
\(901\) | −21.0000 | − | 36.3731i | −0.699611 | − | 1.21176i | ||||
\(902\) | − | 12.0000i | − | 0.399556i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −2.41154 | − | 40.1769i | −0.0801624 | − | 1.33553i | ||||
\(906\) | 13.0000 | − | 22.5167i | 0.431896 | − | 0.748066i | ||||
\(907\) | 32.9090 | + | 19.0000i | 1.09272 | + | 0.630885i | 0.934300 | − | 0.356487i | \(-0.116025\pi\) |
0.158424 | + | 0.987371i | \(0.449359\pi\) | |||||||
\(908\) | −29.4449 | + | 17.0000i | −0.977162 | + | 0.564165i | ||||
\(909\) | 24.0000 | 0.796030 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 12.0000 | 0.397578 | 0.198789 | − | 0.980042i | \(-0.436299\pi\) | ||||
0.198789 | + | 0.980042i | \(0.436299\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 10.3923 | + | 6.00000i | 0.343935 | + | 0.198571i | ||||
\(914\) | −38.0000 | + | 65.8179i | −1.25693 | + | 2.17706i | ||||
\(915\) | −17.8564 | + | 1.07180i | −0.590315 | + | 0.0354325i | ||||
\(916\) | −20.0000 | −0.660819 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 70.0000i | 2.31034i | ||||||||
\(919\) | −2.50000 | − | 4.33013i | −0.0824674 | − | 0.142838i | 0.821842 | − | 0.569716i | \(-0.192947\pi\) |
−0.904309 | + | 0.426878i | \(0.859613\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.50000 | + | 6.06218i | −0.115329 | + | 0.199756i | ||||
\(922\) | 20.7846 | − | 12.0000i | 0.684505 | − | 0.395199i | ||||
\(923\) | 8.00000i | 0.263323i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −8.00000 | + | 6.00000i | −0.263038 | + | 0.197279i | ||||
\(926\) | −36.0000 | − | 62.3538i | −1.18303 | − | 2.04907i | ||||
\(927\) | −32.9090 | − | 19.0000i | −1.08087 | − | 0.624042i | ||||
\(928\) | 34.6410 | + | 20.0000i | 1.13715 | + | 0.656532i | ||||
\(929\) | −25.0000 | − | 43.3013i | −0.820223 | − | 1.42067i | −0.905516 | − | 0.424313i | \(-0.860516\pi\) |
0.0852924 | − | 0.996356i | \(-0.472818\pi\) | |||||||
\(930\) | −8.00000 | − | 4.00000i | −0.262330 | − | 0.131165i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 32.0000i | 1.04819i | ||||||||
\(933\) | −10.3923 | + | 6.00000i | −0.340229 | + | 0.196431i | ||||
\(934\) | 27.0000 | − | 46.7654i | 0.883467 | − | 1.53021i | ||||
\(935\) | −25.8731 | − | 39.1865i | −0.846140 | − | 1.28154i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 13.0000i | − | 0.424691i | −0.977195 | − | 0.212346i | \(-0.931890\pi\) | ||
0.977195 | − | 0.212346i | \(-0.0681103\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −21.0000 | −0.685309 | ||||||||
\(940\) | −13.3923 | + | 0.803848i | −0.436809 | + | 0.0262186i | ||||
\(941\) | 24.0000 | − | 41.5692i | 0.782378 | − | 1.35512i | −0.148176 | − | 0.988961i | \(-0.547340\pi\) |
0.930553 | − | 0.366157i | \(-0.119327\pi\) | |||||||
\(942\) | 31.1769 | + | 18.0000i | 1.01580 | + | 0.586472i | ||||
\(943\) | −10.3923 | + | 6.00000i | −0.338420 | + | 0.195387i | ||||
\(944\) | 40.0000 | 1.30189 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 24.0000 | 0.780307 | ||||||||
\(947\) | 36.3731 | − | 21.0000i | 1.18197 | − | 0.682408i | 0.225497 | − | 0.974244i | \(-0.427599\pi\) |
0.956469 | + | 0.291835i | \(0.0942660\pi\) | |||||||
\(948\) | −8.66025 | − | 5.00000i | −0.281272 | − | 0.162392i | ||||
\(949\) | 3.00000 | − | 5.19615i | 0.0973841 | − | 0.168674i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 12.0000 | 0.389127 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 6.00000i | − | 0.194359i | −0.995267 | − | 0.0971795i | \(-0.969018\pi\) | ||
0.995267 | − | 0.0971795i | \(-0.0309821\pi\) | |||||||
\(954\) | −12.0000 | − | 20.7846i | −0.388514 | − | 0.672927i | ||||
\(955\) | −5.59808 | + | 3.69615i | −0.181149 | + | 0.119605i | ||||
\(956\) | −15.0000 | + | 25.9808i | −0.485135 | + | 0.840278i | ||||
\(957\) | 12.9904 | − | 7.50000i | 0.419919 | − | 0.242441i | ||||
\(958\) | 60.0000i | 1.93851i | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −8.00000 | + | 16.0000i | −0.258199 | + | 0.516398i | ||||
\(961\) | 13.5000 | + | 23.3827i | 0.435484 | + | 0.754280i | ||||
\(962\) | −3.46410 | − | 2.00000i | −0.111687 | − | 0.0644826i | ||||
\(963\) | 13.8564 | + | 8.00000i | 0.446516 | + | 0.257796i | ||||
\(964\) | 22.0000 | + | 38.1051i | 0.708572 | + | 1.22728i | ||||
\(965\) | −16.0000 | + | 32.0000i | −0.515058 | + | 1.03012i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 8.00000i | − | 0.257263i | −0.991692 | − | 0.128631i | \(-0.958942\pi\) | ||
0.991692 | − | 0.128631i | \(-0.0410584\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −26.1244 | + | 17.2487i | −0.838803 | + | 0.553823i | ||||
\(971\) | −11.0000 | − | 19.0526i | −0.353007 | − | 0.611426i | 0.633768 | − | 0.773523i | \(-0.281507\pi\) |
−0.986775 | + | 0.162098i | \(0.948174\pi\) | |||||||
\(972\) | 32.0000i | 1.02640i | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −84.0000 | −2.69153 | ||||||||
\(975\) | −1.96410 | + | 4.59808i | −0.0629016 | + | 0.147256i | ||||
\(976\) | −16.0000 | + | 27.7128i | −0.512148 | + | 0.887066i | ||||
\(977\) | −10.3923 | − | 6.00000i | −0.332479 | − | 0.191957i | 0.324462 | − | 0.945899i | \(-0.394817\pi\) |
−0.656941 | + | 0.753942i | \(0.728150\pi\) | |||||||
\(978\) | 24.2487 | − | 14.0000i | 0.775388 | − | 0.447671i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −10.0000 | −0.319275 | ||||||||
\(982\) | 12.1244 | − | 7.00000i | 0.386904 | − | 0.223379i | ||||
\(983\) | 44.1673 | + | 25.5000i | 1.40872 | + | 0.813324i | 0.995265 | − | 0.0972017i | \(-0.0309892\pi\) |
0.413453 | + | 0.910525i | \(0.364323\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.46410 | + | 0.267949i | −0.142238 | + | 0.00853757i | ||||
\(986\) | −70.0000 | −2.22925 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −12.0000 | − | 20.7846i | −0.381578 | − | 0.660912i | ||||
\(990\) | −14.7846 | − | 22.3923i | −0.469886 | − | 0.711674i | ||||
\(991\) | 4.00000 | − | 6.92820i | 0.127064 | − | 0.220082i | −0.795474 | − | 0.605988i | \(-0.792778\pi\) |
0.922538 | + | 0.385906i | \(0.126111\pi\) | |||||||
\(992\) | −13.8564 | + | 8.00000i | −0.439941 | + | 0.254000i | ||||
\(993\) | − | 12.0000i | − | 0.380808i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −20.0000 | − | 10.0000i | −0.634043 | − | 0.317021i | ||||
\(996\) | 4.00000 | + | 6.92820i | 0.126745 | + | 0.219529i | ||||
\(997\) | 11.2583 | + | 6.50000i | 0.356555 | + | 0.205857i | 0.667568 | − | 0.744548i | \(-0.267335\pi\) |
−0.311014 | + | 0.950405i | \(0.600668\pi\) | |||||||
\(998\) | −60.6218 | − | 35.0000i | −1.91895 | − | 1.10791i | ||||
\(999\) | −5.00000 | − | 8.66025i | −0.158193 | − | 0.273998i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))