Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(49,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 8 x^{14} - 36 x^{13} + 67 x^{12} + 34 x^{11} - 24 x^{10} + 182 x^{9} - 495 x^{8} - 166 x^{7} + 258 x^{6} - 1292 x^{5} + 2920 x^{4} + 1176 x^{3} + 200 x^{2} + \cdots + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 2^{4}\cdot 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 49.4 | ||
Root | \(0.399276 + 1.49012i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.49 |
Dual form | 950.2.j.i.349.4 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 2.82754 | + | 1.63248i | 1.63248 | + | 0.942513i | 0.983325 | + | 0.181856i | \(0.0582105\pi\) |
0.649154 | + | 0.760657i | \(0.275123\pi\) | |||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.63248 | − | 2.82754i | −0.666457 | − | 1.15434i | ||||
\(7\) | 2.62013i | 0.990316i | 0.868803 | + | 0.495158i | \(0.164890\pi\) | ||||
−0.868803 | + | 0.495158i | \(0.835110\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 3.82998 | + | 6.63372i | 1.27666 | + | 2.21124i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 5.03983 | 1.51957 | 0.759783 | − | 0.650177i | \(-0.225305\pi\) | ||||
0.759783 | + | 0.650177i | \(0.225305\pi\) | |||||||
\(12\) | 3.26496i | 0.942513i | ||||||||
\(13\) | 4.02254 | − | 2.32241i | 1.11565 | − | 0.644122i | 0.175365 | − | 0.984504i | \(-0.443890\pi\) |
0.940287 | + | 0.340382i | \(0.110556\pi\) | |||||||
\(14\) | 1.31007 | − | 2.26910i | 0.350130 | − | 0.606442i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −3.16962 | − | 1.82998i | −0.768745 | − | 0.443835i | 0.0636816 | − | 0.997970i | \(-0.479716\pi\) |
−0.832427 | + | 0.554135i | \(0.813049\pi\) | |||||||
\(18\) | − | 7.65996i | − | 1.80547i | ||||||
\(19\) | −0.697500 | − | 4.30273i | −0.160017 | − | 0.987114i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −4.27731 | + | 7.40852i | −0.933385 | + | 1.61667i | ||||
\(22\) | −4.36462 | − | 2.51991i | −0.930540 | − | 0.537248i | ||||
\(23\) | −4.05703 | + | 2.34233i | −0.845950 | + | 0.488409i | −0.859282 | − | 0.511502i | \(-0.829089\pi\) |
0.0133324 | + | 0.999911i | \(0.495756\pi\) | |||||||
\(24\) | 1.63248 | − | 2.82754i | 0.333229 | − | 0.577169i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −4.64483 | −0.910926 | ||||||||
\(27\) | 15.2146i | 2.92805i | ||||||||
\(28\) | −2.26910 | + | 1.31007i | −0.428819 | + | 0.247579i | ||||
\(29\) | −4.01991 | − | 6.96270i | −0.746479 | − | 1.29294i | −0.949500 | − | 0.313766i | \(-0.898409\pi\) |
0.203021 | − | 0.979174i | \(-0.434924\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.28009 | −0.589121 | −0.294561 | − | 0.955633i | \(-0.595173\pi\) | ||||
−0.294561 | + | 0.955633i | \(0.595173\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 14.2503 | + | 8.22742i | 2.48066 | + | 1.43221i | ||||
\(34\) | 1.82998 | + | 3.16962i | 0.313839 | + | 0.543585i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.82998 | + | 6.63372i | −0.638330 | + | 1.10562i | ||||
\(37\) | 5.75505i | 0.946124i | 0.881029 | + | 0.473062i | \(0.156851\pi\) | ||||
−0.881029 | + | 0.473062i | \(0.843149\pi\) | |||||||
\(38\) | −1.54731 | + | 4.07502i | −0.251007 | + | 0.661056i | ||||
\(39\) | 15.1652 | 2.42837 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.90735 | − | 5.03568i | 0.454052 | − | 0.786441i | −0.544581 | − | 0.838708i | \(-0.683311\pi\) |
0.998633 | + | 0.0522673i | \(0.0166448\pi\) | |||||||
\(42\) | 7.40852 | − | 4.27731i | 1.14316 | − | 0.660003i | ||||
\(43\) | 0.502555 | + | 0.290150i | 0.0766390 | + | 0.0442475i | 0.537830 | − | 0.843053i | \(-0.319244\pi\) |
−0.461191 | + | 0.887301i | \(0.652578\pi\) | |||||||
\(44\) | 2.51991 | + | 4.36462i | 0.379891 | + | 0.657991i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.68466 | 0.690715 | ||||||||
\(47\) | −4.00115 | + | 2.31007i | −0.583628 | + | 0.336958i | −0.762574 | − | 0.646901i | \(-0.776065\pi\) |
0.178946 | + | 0.983859i | \(0.442731\pi\) | |||||||
\(48\) | −2.82754 | + | 1.63248i | −0.408120 | + | 0.235628i | ||||
\(49\) | 0.134919 | 0.0192741 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −5.97481 | − | 10.3487i | −0.836641 | − | 1.44910i | ||||
\(52\) | 4.02254 | + | 2.32241i | 0.557826 | + | 0.322061i | ||||
\(53\) | −4.00115 | + | 2.31007i | −0.549600 | + | 0.317312i | −0.748961 | − | 0.662614i | \(-0.769447\pi\) |
0.199361 | + | 0.979926i | \(0.436114\pi\) | |||||||
\(54\) | 7.60729 | − | 13.1762i | 1.03522 | − | 1.79306i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 2.62013 | 0.350130 | ||||||||
\(57\) | 5.05191 | − | 13.3048i | 0.669142 | − | 1.76226i | ||||
\(58\) | 8.03983i | 1.05568i | ||||||||
\(59\) | −1.88743 | + | 3.26913i | −0.245723 | + | 0.425605i | −0.962335 | − | 0.271868i | \(-0.912359\pi\) |
0.716612 | + | 0.697472i | \(0.245692\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.0650203 | − | 0.112618i | −0.00832500 | − | 0.0144193i | 0.861833 | − | 0.507192i | \(-0.169317\pi\) |
−0.870158 | + | 0.492773i | \(0.835983\pi\) | |||||||
\(62\) | 2.84064 | + | 1.64004i | 0.360762 | + | 0.208286i | ||||
\(63\) | −17.3812 | + | 10.0350i | −2.18983 | + | 1.26430i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −8.22742 | − | 14.2503i | −1.01273 | − | 1.75409i | ||||
\(67\) | −0.328977 | + | 0.189935i | −0.0401909 | + | 0.0232043i | −0.519961 | − | 0.854190i | \(-0.674053\pi\) |
0.479770 | + | 0.877394i | \(0.340720\pi\) | |||||||
\(68\) | − | 3.65996i | − | 0.443835i | ||||||
\(69\) | −15.2952 | −1.84133 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.56746 | − | 7.91107i | 0.542058 | − | 0.938871i | −0.456728 | − | 0.889606i | \(-0.650979\pi\) |
0.998786 | − | 0.0492651i | \(-0.0156879\pi\) | |||||||
\(72\) | 6.63372 | − | 3.82998i | 0.781791 | − | 0.451367i | ||||
\(73\) | 7.36574 | + | 4.25261i | 0.862094 | + | 0.497730i | 0.864713 | − | 0.502266i | \(-0.167500\pi\) |
−0.00261883 | + | 0.999997i | \(0.500834\pi\) | |||||||
\(74\) | 2.87752 | − | 4.98402i | 0.334505 | − | 0.579380i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.37752 | − | 2.75542i | 0.387429 | − | 0.316068i | ||||
\(77\) | 13.2050i | 1.50485i | ||||||||
\(78\) | −13.1334 | − | 7.58259i | −1.48707 | − | 0.858559i | ||||
\(79\) | −3.98237 | + | 6.89767i | −0.448052 | + | 0.776049i | −0.998259 | − | 0.0589793i | \(-0.981215\pi\) |
0.550207 | + | 0.835028i | \(0.314549\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −13.3475 | + | 23.1186i | −1.48306 | + | 2.56874i | ||||
\(82\) | −5.03568 | + | 2.90735i | −0.556098 | + | 0.321063i | ||||
\(83\) | 7.86996i | 0.863840i | 0.901912 | + | 0.431920i | \(0.142164\pi\) | ||||
−0.901912 | + | 0.431920i | \(0.857836\pi\) | |||||||
\(84\) | −8.55462 | −0.933385 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.290150 | − | 0.502555i | −0.0312877 | − | 0.0541919i | ||||
\(87\) | − | 26.2497i | − | 2.81426i | ||||||
\(88\) | − | 5.03983i | − | 0.537248i | ||||||
\(89\) | −4.14483 | − | 7.17905i | −0.439351 | − | 0.760978i | 0.558289 | − | 0.829647i | \(-0.311458\pi\) |
−0.997640 | + | 0.0686686i | \(0.978125\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.08503 | + | 10.5396i | 0.637884 | + | 1.10485i | ||||
\(92\) | −4.05703 | − | 2.34233i | −0.422975 | − | 0.244205i | ||||
\(93\) | −9.27458 | − | 5.35468i | −0.961729 | − | 0.555254i | ||||
\(94\) | 4.62013 | 0.476530 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.26496 | 0.333229 | ||||||||
\(97\) | −14.0208 | − | 8.09494i | −1.42360 | − | 0.821917i | −0.426997 | − | 0.904253i | \(-0.640428\pi\) |
−0.996605 | + | 0.0823367i | \(0.973762\pi\) | |||||||
\(98\) | −0.116843 | − | 0.0674593i | −0.0118029 | − | 0.00681442i | ||||
\(99\) | 19.3024 | + | 33.4328i | 1.93997 | + | 3.36012i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −4.23270 | − | 7.33124i | −0.421169 | − | 0.729486i | 0.574885 | − | 0.818234i | \(-0.305047\pi\) |
−0.996054 | + | 0.0887481i | \(0.971713\pi\) | |||||||
\(102\) | 11.9496i | 1.18319i | ||||||||
\(103\) | 11.8498i | 1.16760i | 0.811898 | + | 0.583800i | \(0.198435\pi\) | ||||
−0.811898 | + | 0.583800i | \(0.801565\pi\) | |||||||
\(104\) | −2.32241 | − | 4.02254i | −0.227731 | − | 0.394443i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.62013 | 0.448747 | ||||||||
\(107\) | − | 16.8100i | − | 1.62508i | −0.582902 | − | 0.812542i | \(-0.698083\pi\) | ||
0.582902 | − | 0.812542i | \(-0.301917\pi\) | |||||||
\(108\) | −13.1762 | + | 7.60729i | −1.26788 | + | 0.732012i | ||||
\(109\) | 10.0023 | − | 17.3245i | 0.958045 | − | 1.65938i | 0.230806 | − | 0.973000i | \(-0.425864\pi\) |
0.727240 | − | 0.686384i | \(-0.240803\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −9.39500 | + | 16.2726i | −0.891734 | + | 1.54453i | ||||
\(112\) | −2.26910 | − | 1.31007i | −0.214410 | − | 0.123790i | ||||
\(113\) | − | 14.3505i | − | 1.34998i | −0.737827 | − | 0.674990i | \(-0.764148\pi\) | ||
0.737827 | − | 0.674990i | \(-0.235852\pi\) | |||||||
\(114\) | −11.0275 | + | 8.99633i | −1.03282 | + | 0.842583i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 4.01991 | − | 6.96270i | 0.373240 | − | 0.646470i | ||||
\(117\) | 30.8125 | + | 17.7896i | 2.84862 | + | 1.64465i | ||||
\(118\) | 3.26913 | − | 1.88743i | 0.300948 | − | 0.173752i | ||||
\(119\) | 4.79478 | − | 8.30481i | 0.439537 | − | 0.761301i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 14.3999 | 1.30908 | ||||||||
\(122\) | 0.130041i | 0.0117733i | ||||||||
\(123\) | 16.4413 | − | 9.49238i | 1.48246 | − | 0.855899i | ||||
\(124\) | −1.64004 | − | 2.84064i | −0.147280 | − | 0.255097i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 20.0701 | 1.78799 | ||||||||
\(127\) | −6.82869 | + | 3.94254i | −0.605948 | + | 0.349844i | −0.771378 | − | 0.636377i | \(-0.780432\pi\) |
0.165430 | + | 0.986222i | \(0.447099\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 0.947329 | + | 1.64082i | 0.0834077 | + | 0.144466i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.20228 | + | 2.08242i | −0.105044 | + | 0.181942i | −0.913756 | − | 0.406263i | \(-0.866832\pi\) |
0.808712 | + | 0.588205i | \(0.200165\pi\) | |||||||
\(132\) | 16.4548i | 1.43221i | ||||||||
\(133\) | 11.2737 | − | 1.82754i | 0.977555 | − | 0.158468i | ||||
\(134\) | 0.379870 | 0.0328158 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.82998 | + | 3.16962i | −0.156919 | + | 0.271792i | ||||
\(137\) | 15.0992 | − | 8.71751i | 1.29001 | − | 0.744787i | 0.311353 | − | 0.950294i | \(-0.399218\pi\) |
0.978656 | + | 0.205507i | \(0.0658844\pi\) | |||||||
\(138\) | 13.2460 | + | 7.64761i | 1.12758 | + | 0.651008i | ||||
\(139\) | 4.78487 | + | 8.28764i | 0.405848 | + | 0.702949i | 0.994420 | − | 0.105496i | \(-0.0336430\pi\) |
−0.588572 | + | 0.808445i | \(0.700310\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −15.0845 | −1.27035 | ||||||||
\(142\) | −7.91107 | + | 4.56746i | −0.663882 | + | 0.383293i | ||||
\(143\) | 20.2729 | − | 11.7046i | 1.69531 | − | 0.978786i | ||||
\(144\) | −7.65996 | −0.638330 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −4.25261 | − | 7.36574i | −0.351948 | − | 0.609593i | ||||
\(147\) | 0.381488 | + | 0.220252i | 0.0314646 | + | 0.0181661i | ||||
\(148\) | −4.98402 | + | 2.87752i | −0.409684 | + | 0.236531i | ||||
\(149\) | −8.56218 | + | 14.8301i | −0.701441 | + | 1.21493i | 0.266519 | + | 0.963830i | \(0.414126\pi\) |
−0.967961 | + | 0.251102i | \(0.919207\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.44440 | −0.443059 | −0.221529 | − | 0.975154i | \(-0.571105\pi\) | ||||
−0.221529 | + | 0.975154i | \(0.571105\pi\) | |||||||
\(152\) | −4.30273 | + | 0.697500i | −0.348998 | + | 0.0565747i | ||||
\(153\) | − | 28.0351i | − | 2.26651i | ||||||
\(154\) | 6.60250 | − | 11.4359i | 0.532045 | − | 0.921529i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 7.58259 | + | 13.1334i | 0.607093 | + | 1.05152i | ||||
\(157\) | 0.0213902 | + | 0.0123496i | 0.00170712 | + | 0.000985608i | 0.500853 | − | 0.865532i | \(-0.333020\pi\) |
−0.499146 | + | 0.866518i | \(0.666353\pi\) | |||||||
\(158\) | 6.89767 | − | 3.98237i | 0.548749 | − | 0.316821i | ||||
\(159\) | −15.0845 | −1.19628 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −6.13721 | − | 10.6300i | −0.483680 | − | 0.837758i | ||||
\(162\) | 23.1186 | − | 13.3475i | 1.81637 | − | 1.04868i | ||||
\(163\) | 10.8347i | 0.848640i | 0.905512 | + | 0.424320i | \(0.139487\pi\) | ||||
−0.905512 | + | 0.424320i | \(0.860513\pi\) | |||||||
\(164\) | 5.81470 | 0.454052 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.93498 | − | 6.81558i | 0.305414 | − | 0.528992i | ||||
\(167\) | −5.44278 | + | 3.14239i | −0.421175 | + | 0.243165i | −0.695580 | − | 0.718449i | \(-0.744852\pi\) |
0.274405 | + | 0.961614i | \(0.411519\pi\) | |||||||
\(168\) | 7.40852 | + | 4.27731i | 0.571579 | + | 0.330002i | ||||
\(169\) | 4.28722 | − | 7.42568i | 0.329786 | − | 0.571206i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 25.8717 | − | 21.1064i | 1.97846 | − | 1.61405i | ||||
\(172\) | 0.580301i | 0.0442475i | ||||||||
\(173\) | −0.324914 | − | 0.187589i | −0.0247028 | − | 0.0142622i | 0.487598 | − | 0.873068i | \(-0.337873\pi\) |
−0.512301 | + | 0.858806i | \(0.671207\pi\) | |||||||
\(174\) | −13.1249 | + | 22.7329i | −0.994993 | + | 1.72338i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −2.51991 | + | 4.36462i | −0.189946 | + | 0.328996i | ||||
\(177\) | −10.6736 | + | 6.16240i | −0.802276 | + | 0.463194i | ||||
\(178\) | 8.28966i | 0.621336i | ||||||||
\(179\) | 8.04940 | 0.601640 | 0.300820 | − | 0.953681i | \(-0.402740\pi\) | ||||
0.300820 | + | 0.953681i | \(0.402740\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.5251 | + | 18.2301i | 0.782327 | + | 1.35503i | 0.930583 | + | 0.366081i | \(0.119301\pi\) |
−0.148256 | + | 0.988949i | \(0.547366\pi\) | |||||||
\(182\) | − | 12.1701i | − | 0.902105i | ||||||
\(183\) | − | 0.424577i | − | 0.0313857i | ||||||
\(184\) | 2.34233 | + | 4.05703i | 0.172679 | + | 0.299088i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 5.35468 | + | 9.27458i | 0.392624 | + | 0.680045i | ||||
\(187\) | −15.9743 | − | 9.22278i | −1.16816 | − | 0.674437i | ||||
\(188\) | −4.00115 | − | 2.31007i | −0.291814 | − | 0.168479i | ||||
\(189\) | −39.8642 | −2.89969 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.03983 | 0.581742 | 0.290871 | − | 0.956762i | \(-0.406055\pi\) | ||||
0.290871 | + | 0.956762i | \(0.406055\pi\) | |||||||
\(192\) | −2.82754 | − | 1.63248i | −0.204060 | − | 0.117814i | ||||
\(193\) | −17.5325 | − | 10.1224i | −1.26202 | − | 0.728628i | −0.288555 | − | 0.957463i | \(-0.593175\pi\) |
−0.973465 | + | 0.228836i | \(0.926508\pi\) | |||||||
\(194\) | 8.09494 | + | 14.0208i | 0.581183 | + | 1.00664i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.0674593 | + | 0.116843i | 0.00481852 | + | 0.00834593i | ||||
\(197\) | − | 2.92004i | − | 0.208044i | −0.994575 | − | 0.104022i | \(-0.966829\pi\) | ||
0.994575 | − | 0.104022i | \(-0.0331713\pi\) | |||||||
\(198\) | − | 38.6049i | − | 2.74353i | ||||||
\(199\) | −7.80244 | − | 13.5142i | −0.553101 | − | 0.957998i | −0.998049 | − | 0.0624418i | \(-0.980111\pi\) |
0.444948 | − | 0.895556i | \(-0.353222\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.24026 | −0.0874812 | ||||||||
\(202\) | 8.46539i | 0.595623i | ||||||||
\(203\) | 18.2432 | − | 10.5327i | 1.28042 | − | 0.739251i | ||||
\(204\) | 5.97481 | − | 10.3487i | 0.418320 | − | 0.724552i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 5.92492 | − | 10.2623i | 0.412809 | − | 0.715006i | ||||
\(207\) | −31.0767 | − | 17.9421i | −2.15998 | − | 1.24707i | ||||
\(208\) | 4.64483i | 0.322061i | ||||||||
\(209\) | −3.51528 | − | 21.6850i | −0.243157 | − | 1.49998i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.572585 | + | 0.991747i | −0.0394184 | + | 0.0682747i | −0.885062 | − | 0.465474i | \(-0.845884\pi\) |
0.845643 | + | 0.533749i | \(0.179217\pi\) | |||||||
\(212\) | −4.00115 | − | 2.31007i | −0.274800 | − | 0.158656i | ||||
\(213\) | 25.8293 | − | 14.9126i | 1.76980 | − | 1.02179i | ||||
\(214\) | −8.40500 | + | 14.5579i | −0.574554 | + | 0.995157i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 15.2146 | 1.03522 | ||||||||
\(217\) | − | 8.59426i | − | 0.583416i | ||||||
\(218\) | −17.3245 | + | 10.0023i | −1.17336 | + | 0.677440i | ||||
\(219\) | 13.8846 | + | 24.0488i | 0.938234 | + | 1.62507i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −16.9999 | −1.14354 | ||||||||
\(222\) | 16.2726 | − | 9.39500i | 1.09215 | − | 0.630551i | ||||
\(223\) | −13.2757 | − | 7.66474i | −0.889008 | − | 0.513269i | −0.0153903 | − | 0.999882i | \(-0.504899\pi\) |
−0.873618 | + | 0.486612i | \(0.838232\pi\) | |||||||
\(224\) | 1.31007 | + | 2.26910i | 0.0875324 | + | 0.151611i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −7.17524 | + | 12.4279i | −0.477290 | + | 0.826690i | ||||
\(227\) | 19.2850i | 1.27999i | 0.768380 | + | 0.639994i | \(0.221063\pi\) | ||||
−0.768380 | + | 0.639994i | \(0.778937\pi\) | |||||||
\(228\) | 14.0482 | − | 2.27731i | 0.930368 | − | 0.150818i | ||||
\(229\) | −14.3752 | −0.949939 | −0.474969 | − | 0.880002i | \(-0.657541\pi\) | ||||
−0.474969 | + | 0.880002i | \(0.657541\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −21.5569 | + | 37.3377i | −1.41834 | + | 2.45664i | ||||
\(232\) | −6.96270 | + | 4.01991i | −0.457123 | + | 0.263920i | ||||
\(233\) | −11.9732 | − | 6.91272i | −0.784389 | − | 0.452867i | 0.0535944 | − | 0.998563i | \(-0.482932\pi\) |
−0.837984 | + | 0.545695i | \(0.816266\pi\) | |||||||
\(234\) | −17.7896 | − | 30.8125i | −1.16294 | − | 2.01428i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −3.77487 | −0.245723 | ||||||||
\(237\) | −22.5206 | + | 13.0023i | −1.46287 | + | 0.844589i | ||||
\(238\) | −8.30481 | + | 4.79478i | −0.538321 | + | 0.310800i | ||||
\(239\) | 14.9696 | 0.968305 | 0.484152 | − | 0.874984i | \(-0.339128\pi\) | ||||
0.484152 | + | 0.874984i | \(0.339128\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.66469 | + | 16.7397i | 0.622557 | + | 1.07830i | 0.989008 | + | 0.147863i | \(0.0472395\pi\) |
−0.366451 | + | 0.930437i | \(0.619427\pi\) | |||||||
\(242\) | −12.4707 | − | 7.19994i | −0.801644 | − | 0.462830i | ||||
\(243\) | −35.9528 | + | 20.7573i | −2.30637 | + | 1.33158i | ||||
\(244\) | 0.0650203 | − | 0.112618i | 0.00416250 | − | 0.00720966i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −18.9848 | −1.21042 | ||||||||
\(247\) | −12.7984 | − | 15.6880i | −0.814346 | − | 0.998205i | ||||
\(248\) | 3.28009i | 0.208286i | ||||||||
\(249\) | −12.8475 | + | 22.2526i | −0.814180 | + | 1.41020i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −5.16246 | − | 8.94164i | −0.325851 | − | 0.564391i | 0.655833 | − | 0.754906i | \(-0.272318\pi\) |
−0.981684 | + | 0.190515i | \(0.938984\pi\) | |||||||
\(252\) | −17.3812 | − | 10.0350i | −1.09491 | − | 0.632148i | ||||
\(253\) | −20.4468 | + | 11.8049i | −1.28548 | + | 0.742170i | ||||
\(254\) | 7.88509 | 0.494755 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 24.9149 | − | 14.3846i | 1.55415 | − | 0.897287i | 0.556349 | − | 0.830949i | \(-0.312202\pi\) |
0.997797 | − | 0.0663376i | \(-0.0211314\pi\) | |||||||
\(258\) | − | 1.89466i | − | 0.117956i | ||||||
\(259\) | −15.0790 | −0.936962 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 30.7924 | − | 53.3340i | 1.90600 | − | 3.30129i | ||||
\(262\) | 2.08242 | − | 1.20228i | 0.128652 | − | 0.0742774i | ||||
\(263\) | −7.91107 | − | 4.56746i | −0.487818 | − | 0.281642i | 0.235851 | − | 0.971789i | \(-0.424212\pi\) |
−0.723669 | + | 0.690148i | \(0.757546\pi\) | |||||||
\(264\) | 8.22742 | − | 14.2503i | 0.506363 | − | 0.877046i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −10.6771 | − | 4.05416i | −0.654655 | − | 0.248577i | ||||
\(267\) | − | 27.0654i | − | 1.65638i | ||||||
\(268\) | −0.328977 | − | 0.189935i | −0.0200955 | − | 0.0116021i | ||||
\(269\) | 8.45474 | − | 14.6440i | 0.515495 | − | 0.892863i | −0.484343 | − | 0.874878i | \(-0.660941\pi\) |
0.999838 | − | 0.0179853i | \(-0.00572519\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.94483 | − | 13.7609i | 0.482614 | − | 0.835912i | −0.517187 | − | 0.855873i | \(-0.673021\pi\) |
0.999801 | + | 0.0199603i | \(0.00635399\pi\) | |||||||
\(272\) | 3.16962 | − | 1.82998i | 0.192186 | − | 0.110959i | ||||
\(273\) | 39.7347i | 2.40486i | ||||||||
\(274\) | −17.4350 | −1.05329 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −7.64761 | − | 13.2460i | −0.460332 | − | 0.797318i | ||||
\(277\) | 11.4852i | 0.690079i | 0.938588 | + | 0.345040i | \(0.112135\pi\) | ||||
−0.938588 | + | 0.345040i | \(0.887865\pi\) | |||||||
\(278\) | − | 9.56975i | − | 0.573955i | ||||||
\(279\) | −12.5627 | − | 21.7592i | −0.752108 | − | 1.30269i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7.14483 | + | 12.3752i | 0.426225 | + | 0.738243i | 0.996534 | − | 0.0831872i | \(-0.0265099\pi\) |
−0.570309 | + | 0.821430i | \(0.693177\pi\) | |||||||
\(282\) | 13.0636 | + | 7.54227i | 0.777926 | + | 0.449136i | ||||
\(283\) | 2.74037 | + | 1.58215i | 0.162898 | + | 0.0940493i | 0.579233 | − | 0.815162i | \(-0.303352\pi\) |
−0.416335 | + | 0.909211i | \(0.636686\pi\) | |||||||
\(284\) | 9.13492 | 0.542058 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −23.4091 | −1.38421 | ||||||||
\(287\) | 13.1941 | + | 7.61763i | 0.778825 | + | 0.449655i | ||||
\(288\) | 6.63372 | + | 3.82998i | 0.390896 | + | 0.225684i | ||||
\(289\) | −1.80235 | − | 3.12176i | −0.106021 | − | 0.183633i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −26.4296 | − | 45.7775i | −1.54933 | − | 2.68352i | ||||
\(292\) | 8.50522i | 0.497730i | ||||||||
\(293\) | − | 14.7094i | − | 0.859330i | −0.902988 | − | 0.429665i | \(-0.858632\pi\) | ||
0.902988 | − | 0.429665i | \(-0.141368\pi\) | |||||||
\(294\) | −0.220252 | − | 0.381488i | −0.0128454 | − | 0.0222488i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 5.75505 | 0.334505 | ||||||||
\(297\) | 76.6789i | 4.44936i | ||||||||
\(298\) | 14.8301 | − | 8.56218i | 0.859087 | − | 0.495994i | ||||
\(299\) | −10.8797 | + | 18.8442i | −0.629190 | + | 1.08979i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.760232 | + | 1.31676i | −0.0438190 | + | 0.0758968i | ||||
\(302\) | 4.71499 | + | 2.72220i | 0.271317 | + | 0.156645i | ||||
\(303\) | − | 27.6392i | − | 1.58783i | ||||||
\(304\) | 4.07502 | + | 1.54731i | 0.233719 | + | 0.0887445i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −14.0176 | + | 24.2791i | −0.801331 | + | 1.38795i | ||||
\(307\) | 22.6425 | + | 13.0727i | 1.29228 | + | 0.746097i | 0.979058 | − | 0.203583i | \(-0.0652587\pi\) |
0.313221 | + | 0.949680i | \(0.398592\pi\) | |||||||
\(308\) | −11.4359 | + | 6.60250i | −0.651619 | + | 0.376213i | ||||
\(309\) | −19.3446 | + | 33.5059i | −1.10048 | + | 1.90608i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 6.65039 | 0.377109 | 0.188555 | − | 0.982063i | \(-0.439620\pi\) | ||||
0.188555 | + | 0.982063i | \(0.439620\pi\) | |||||||
\(312\) | − | 15.1652i | − | 0.858559i | ||||||
\(313\) | 15.0513 | − | 8.68988i | 0.850750 | − | 0.491181i | −0.0101536 | − | 0.999948i | \(-0.503232\pi\) |
0.860904 | + | 0.508768i | \(0.169899\pi\) | |||||||
\(314\) | −0.0123496 | − | 0.0213902i | −0.000696930 | − | 0.00120712i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.96475 | −0.448052 | ||||||||
\(317\) | 1.19104 | − | 0.687647i | 0.0668954 | − | 0.0386221i | −0.466179 | − | 0.884690i | \(-0.654370\pi\) |
0.533075 | + | 0.846068i | \(0.321036\pi\) | |||||||
\(318\) | 13.0636 | + | 7.54227i | 0.732570 | + | 0.422949i | ||||
\(319\) | −20.2597 | − | 35.0908i | −1.13432 | − | 1.96471i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 27.4420 | − | 47.5309i | 1.53166 | − | 2.65292i | ||||
\(322\) | 12.2744i | 0.684026i | ||||||||
\(323\) | −5.66310 | + | 14.9144i | −0.315103 | + | 0.829861i | ||||
\(324\) | −26.6951 | −1.48306 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 5.41735 | − | 9.38313i | 0.300039 | − | 0.519684i | ||||
\(327\) | 56.5637 | − | 32.6571i | 3.12798 | − | 1.80594i | ||||
\(328\) | −5.03568 | − | 2.90735i | −0.278049 | − | 0.160532i | ||||
\(329\) | −6.05267 | − | 10.4835i | −0.333695 | − | 0.577976i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.7399 | 0.645284 | 0.322642 | − | 0.946521i | \(-0.395429\pi\) | ||||
0.322642 | + | 0.946521i | \(0.395429\pi\) | |||||||
\(332\) | −6.81558 | + | 3.93498i | −0.374054 | + | 0.215960i | ||||
\(333\) | −38.1774 | + | 22.0417i | −2.09211 | + | 1.20788i | ||||
\(334\) | 6.28478 | 0.343888 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −4.27731 | − | 7.40852i | −0.233346 | − | 0.404168i | ||||
\(337\) | −11.1545 | − | 6.44005i | −0.607624 | − | 0.350812i | 0.164411 | − | 0.986392i | \(-0.447428\pi\) |
−0.772035 | + | 0.635580i | \(0.780761\pi\) | |||||||
\(338\) | −7.42568 | + | 4.28722i | −0.403904 | + | 0.233194i | ||||
\(339\) | 23.4269 | − | 40.5765i | 1.27237 | − | 2.20381i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −16.5311 | −0.895209 | ||||||||
\(342\) | −32.9587 | + | 5.34282i | −1.78220 | + | 0.288907i | ||||
\(343\) | 18.6944i | 1.00940i | ||||||||
\(344\) | 0.290150 | − | 0.502555i | 0.0156439 | − | 0.0270960i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.187589 | + | 0.324914i | 0.0100849 | + | 0.0174675i | ||||
\(347\) | 4.27339 | + | 2.46724i | 0.229408 | + | 0.132449i | 0.610299 | − | 0.792171i | \(-0.291049\pi\) |
−0.380891 | + | 0.924620i | \(0.624383\pi\) | |||||||
\(348\) | 22.7329 | − | 13.1249i | 1.21861 | − | 0.703566i | ||||
\(349\) | −1.26594 | −0.0677644 | −0.0338822 | − | 0.999426i | \(-0.510787\pi\) | ||||
−0.0338822 | + | 0.999426i | \(0.510787\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 35.3346 | + | 61.2012i | 1.88602 | + | 3.26668i | ||||
\(352\) | 4.36462 | − | 2.51991i | 0.232635 | − | 0.134312i | ||||
\(353\) | 2.16060i | 0.114997i | 0.998346 | + | 0.0574986i | \(0.0183125\pi\) | ||||
−0.998346 | + | 0.0574986i | \(0.981688\pi\) | |||||||
\(354\) | 12.3248 | 0.655056 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 4.14483 | − | 7.17905i | 0.219676 | − | 0.380489i | ||||
\(357\) | 27.1149 | − | 15.6548i | 1.43507 | − | 0.828539i | ||||
\(358\) | −6.97098 | − | 4.02470i | −0.368428 | − | 0.212712i | ||||
\(359\) | −2.36981 | + | 4.10463i | −0.125074 | + | 0.216634i | −0.921762 | − | 0.387757i | \(-0.873250\pi\) |
0.796688 | + | 0.604391i | \(0.206583\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.0270 | + | 6.00231i | −0.948789 | + | 0.315911i | ||||
\(362\) | − | 21.0503i | − | 1.10638i | ||||||
\(363\) | 40.7162 | + | 23.5075i | 2.13705 | + | 1.23382i | ||||
\(364\) | −6.08503 | + | 10.5396i | −0.318942 | + | 0.552424i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −0.212289 | + | 0.367695i | −0.0110965 | + | 0.0192197i | ||||
\(367\) | 19.8271 | − | 11.4472i | 1.03497 | − | 0.597538i | 0.116563 | − | 0.993183i | \(-0.462812\pi\) |
0.918403 | + | 0.395645i | \(0.129479\pi\) | |||||||
\(368\) | − | 4.68466i | − | 0.244205i | ||||||
\(369\) | 44.5404 | 2.31868 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −6.05267 | − | 10.4835i | −0.314239 | − | 0.544278i | ||||
\(372\) | − | 10.7094i | − | 0.555254i | ||||||
\(373\) | 19.2393i | 0.996172i | 0.867128 | + | 0.498086i | \(0.165964\pi\) | ||||
−0.867128 | + | 0.498086i | \(0.834036\pi\) | |||||||
\(374\) | 9.22278 | + | 15.9743i | 0.476899 | + | 0.826013i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.31007 | + | 4.00115i | 0.119133 | + | 0.206344i | ||||
\(377\) | −32.3405 | − | 18.6718i | −1.66562 | − | 0.961647i | ||||
\(378\) | 34.5234 | + | 19.9321i | 1.77569 | + | 1.02520i | ||||
\(379\) | 6.45953 | 0.331804 | 0.165902 | − | 0.986142i | \(-0.446947\pi\) | ||||
0.165902 | + | 0.986142i | \(0.446947\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −25.7445 | −1.31893 | ||||||||
\(382\) | −6.96270 | − | 4.01991i | −0.356243 | − | 0.205677i | ||||
\(383\) | −7.91107 | − | 4.56746i | −0.404237 | − | 0.233386i | 0.284074 | − | 0.958802i | \(-0.408314\pi\) |
−0.688310 | + | 0.725416i | \(0.741647\pi\) | |||||||
\(384\) | 1.63248 | + | 2.82754i | 0.0833071 | + | 0.144292i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 10.1224 | + | 17.5325i | 0.515218 | + | 0.892383i | ||||
\(387\) | 4.44508i | 0.225956i | ||||||||
\(388\) | − | 16.1899i | − | 0.821917i | ||||||
\(389\) | −13.3424 | − | 23.1098i | −0.676488 | − | 1.17171i | −0.976032 | − | 0.217629i | \(-0.930168\pi\) |
0.299544 | − | 0.954082i | \(-0.403165\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 17.1457 | 0.867093 | ||||||||
\(392\) | − | 0.134919i | − | 0.00681442i | ||||||
\(393\) | −6.79901 | + | 3.92541i | −0.342965 | + | 0.198011i | ||||
\(394\) | −1.46002 | + | 2.52883i | −0.0735548 | + | 0.127401i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −19.3024 | + | 33.4328i | −0.969984 | + | 1.68006i | ||||
\(397\) | −12.7732 | − | 7.37459i | −0.641067 | − | 0.370120i | 0.143958 | − | 0.989584i | \(-0.454017\pi\) |
−0.785025 | + | 0.619464i | \(0.787350\pi\) | |||||||
\(398\) | 15.6049i | 0.782202i | ||||||||
\(399\) | 34.8603 | + | 13.2367i | 1.74520 | + | 0.662662i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5.82720 | + | 10.0930i | −0.290996 | + | 0.504021i | −0.974046 | − | 0.226352i | \(-0.927320\pi\) |
0.683049 | + | 0.730372i | \(0.260653\pi\) | |||||||
\(402\) | 1.07410 | + | 0.620130i | 0.0535711 | + | 0.0309293i | ||||
\(403\) | −13.1943 | + | 7.61773i | −0.657254 | + | 0.379466i | ||||
\(404\) | 4.23270 | − | 7.33124i | 0.210584 | − | 0.364743i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −21.0654 | −1.04546 | ||||||||
\(407\) | 29.0045i | 1.43770i | ||||||||
\(408\) | −10.3487 | + | 5.97481i | −0.512336 | + | 0.295797i | ||||
\(409\) | 19.7824 | + | 34.2641i | 0.978176 | + | 1.69425i | 0.669030 | + | 0.743235i | \(0.266710\pi\) |
0.309145 | + | 0.951015i | \(0.399957\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 56.9246 | 2.80788 | ||||||||
\(412\) | −10.2623 | + | 5.92492i | −0.505585 | + | 0.291900i | ||||
\(413\) | −8.56555 | − | 4.94532i | −0.421483 | − | 0.243344i | ||||
\(414\) | 17.9421 | + | 31.0767i | 0.881808 | + | 1.52734i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 2.32241 | − | 4.02254i | 0.113866 | − | 0.197221i | ||||
\(417\) | 31.2448i | 1.53007i | ||||||||
\(418\) | −7.79819 | + | 20.5374i | −0.381422 | + | 1.00452i | ||||
\(419\) | −17.3292 | −0.846586 | −0.423293 | − | 0.905993i | \(-0.639126\pi\) | ||||
−0.423293 | + | 0.905993i | \(0.639126\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −12.1652 | + | 21.0707i | −0.592895 | + | 1.02692i | 0.400946 | + | 0.916102i | \(0.368682\pi\) |
−0.993840 | + | 0.110822i | \(0.964652\pi\) | |||||||
\(422\) | 0.991747 | − | 0.572585i | 0.0482775 | − | 0.0278730i | ||||
\(423\) | −30.6486 | − | 17.6950i | −1.49019 | − | 0.860361i | ||||
\(424\) | 2.31007 | + | 4.00115i | 0.112187 | + | 0.194313i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −29.8251 | −1.44503 | ||||||||
\(427\) | 0.295075 | − | 0.170362i | 0.0142797 | − | 0.00824438i | ||||
\(428\) | 14.5579 | − | 8.40500i | 0.703682 | − | 0.406271i | ||||
\(429\) | 76.4299 | 3.69007 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.1173 | − | 24.4519i | −0.680006 | − | 1.17781i | −0.974978 | − | 0.222299i | \(-0.928644\pi\) |
0.294972 | − | 0.955506i | \(-0.404690\pi\) | |||||||
\(432\) | −13.1762 | − | 7.60729i | −0.633941 | − | 0.366006i | ||||
\(433\) | 20.2475 | − | 11.6899i | 0.973031 | − | 0.561780i | 0.0728720 | − | 0.997341i | \(-0.476784\pi\) |
0.900159 | + | 0.435562i | \(0.143450\pi\) | |||||||
\(434\) | −4.29713 | + | 7.44285i | −0.206269 | + | 0.357268i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 20.0046 | 0.958045 | ||||||||
\(437\) | 12.9082 | + | 15.8225i | 0.617483 | + | 0.756895i | ||||
\(438\) | − | 27.7692i | − | 1.32686i | ||||||
\(439\) | 13.3775 | − | 23.1705i | 0.638472 | − | 1.10587i | −0.347297 | − | 0.937755i | \(-0.612900\pi\) |
0.985768 | − | 0.168110i | \(-0.0537664\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.516736 | + | 0.895013i | 0.0246065 | + | 0.0426197i | ||||
\(442\) | 14.7223 | + | 8.49994i | 0.700270 | + | 0.404301i | ||||
\(443\) | 15.3285 | − | 8.84989i | 0.728277 | − | 0.420471i | −0.0895142 | − | 0.995986i | \(-0.528531\pi\) |
0.817792 | + | 0.575514i | \(0.195198\pi\) | |||||||
\(444\) | −18.7900 | −0.891734 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 7.66474 | + | 13.2757i | 0.362936 | + | 0.628624i | ||||
\(447\) | −48.4198 | + | 27.9552i | −2.29018 | + | 1.32223i | ||||
\(448\) | − | 2.62013i | − | 0.123790i | ||||||
\(449\) | −28.3541 | −1.33811 | −0.669056 | − | 0.743212i | \(-0.733301\pi\) | ||||
−0.669056 | + | 0.743212i | \(0.733301\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.6525 | − | 25.3790i | 0.689961 | − | 1.19505i | ||||
\(452\) | 12.4279 | − | 7.17524i | 0.584558 | − | 0.337495i | ||||
\(453\) | −15.3942 | − | 8.88787i | −0.723285 | − | 0.417589i | ||||
\(454\) | 9.64248 | − | 16.7013i | 0.452544 | − | 0.783830i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −13.3048 | − | 5.05191i | −0.623054 | − | 0.236578i | ||||
\(457\) | 11.5898i | 0.542146i | 0.962559 | + | 0.271073i | \(0.0873785\pi\) | ||||
−0.962559 | + | 0.271073i | \(0.912622\pi\) | |||||||
\(458\) | 12.4493 | + | 7.18759i | 0.581716 | + | 0.335854i | ||||
\(459\) | 27.8424 | − | 48.2244i | 1.29957 | − | 2.25092i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −17.8899 | + | 30.9862i | −0.833214 | + | 1.44317i | 0.0622614 | + | 0.998060i | \(0.480169\pi\) |
−0.895476 | + | 0.445110i | \(0.853165\pi\) | |||||||
\(462\) | 37.3377 | − | 21.5569i | 1.73711 | − | 1.00292i | ||||
\(463\) | − | 23.5039i | − | 1.09232i | −0.837681 | − | 0.546160i | \(-0.816089\pi\) | ||
0.837681 | − | 0.546160i | \(-0.183911\pi\) | |||||||
\(464\) | 8.03983 | 0.373240 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.91272 | + | 11.9732i | 0.320226 | + | 0.554647i | ||||
\(467\) | − | 1.12047i | − | 0.0518492i | −0.999664 | − | 0.0259246i | \(-0.991747\pi\) | ||
0.999664 | − | 0.0259246i | \(-0.00825299\pi\) | |||||||
\(468\) | 35.5792i | 1.64465i | ||||||||
\(469\) | −0.497654 | − | 0.861963i | −0.0229795 | − | 0.0398017i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.0403210 | + | 0.0698381i | 0.00185790 | + | 0.00321797i | ||||
\(472\) | 3.26913 | + | 1.88743i | 0.150474 | + | 0.0868762i | ||||
\(473\) | 2.53279 | + | 1.46231i | 0.116458 | + | 0.0672370i | ||||
\(474\) | 26.0046 | 1.19443 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 9.58957 | 0.439537 | ||||||||
\(477\) | −30.6486 | − | 17.6950i | −1.40331 | − | 0.810199i | ||||
\(478\) | −12.9641 | − | 7.48481i | −0.592963 | − | 0.342347i | ||||
\(479\) | 13.6547 | + | 23.6506i | 0.623898 | + | 1.08062i | 0.988753 | + | 0.149559i | \(0.0477854\pi\) |
−0.364854 | + | 0.931065i | \(0.618881\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 13.3656 | + | 23.1499i | 0.609419 | + | 1.05555i | ||||
\(482\) | − | 19.3294i | − | 0.880429i | ||||||
\(483\) | − | 40.0755i | − | 1.82350i | ||||||
\(484\) | 7.19994 | + | 12.4707i | 0.327270 | + | 0.566848i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 41.5147 | 1.88314 | ||||||||
\(487\) | 6.32003i | 0.286388i | 0.989695 | + | 0.143194i | \(0.0457373\pi\) | ||||
−0.989695 | + | 0.143194i | \(0.954263\pi\) | |||||||
\(488\) | −0.112618 | + | 0.0650203i | −0.00509800 | + | 0.00294333i | ||||
\(489\) | −17.6874 | + | 30.6355i | −0.799854 | + | 1.38539i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 12.9025 | − | 22.3478i | 0.582282 | − | 1.00854i | −0.412926 | − | 0.910764i | \(-0.635493\pi\) |
0.995208 | − | 0.0977776i | \(-0.0311734\pi\) | |||||||
\(492\) | 16.4413 | + | 9.49238i | 0.741230 | + | 0.427949i | ||||
\(493\) | 29.4254i | 1.32526i | ||||||||
\(494\) | 3.23977 | + | 19.9855i | 0.145764 | + | 0.899188i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.64004 | − | 2.84064i | 0.0736402 | − | 0.127549i | ||||
\(497\) | 20.7280 | + | 11.9673i | 0.929779 | + | 0.536808i | ||||
\(498\) | 22.2526 | − | 12.8475i | 0.997163 | − | 0.575712i | ||||
\(499\) | −14.4572 | + | 25.0406i | −0.647192 | + | 1.12097i | 0.336598 | + | 0.941648i | \(0.390724\pi\) |
−0.983790 | + | 0.179322i | \(0.942610\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −20.5196 | −0.916746 | ||||||||
\(502\) | 10.3249i | 0.460823i | ||||||||
\(503\) | 0.995971 | − | 0.575024i | 0.0444082 | − | 0.0256391i | −0.477632 | − | 0.878560i | \(-0.658505\pi\) |
0.522040 | + | 0.852921i | \(0.325171\pi\) | |||||||
\(504\) | 10.0350 | + | 17.3812i | 0.446996 | + | 0.774220i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 23.6099 | 1.04959 | ||||||||
\(507\) | 24.2445 | − | 13.9976i | 1.07674 | − | 0.621655i | ||||
\(508\) | −6.82869 | − | 3.94254i | −0.302974 | − | 0.174922i | ||||
\(509\) | 20.3673 | + | 35.2772i | 0.902765 | + | 1.56364i | 0.823889 | + | 0.566751i | \(0.191800\pi\) |
0.0788760 | + | 0.996884i | \(0.474867\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.1424 | + | 19.2992i | −0.492910 | + | 0.853746i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 65.4642 | − | 10.6122i | 2.89032 | − | 0.468539i | ||||
\(514\) | −28.7692 | −1.26895 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −0.947329 | + | 1.64082i | −0.0417038 | + | 0.0722332i | ||||
\(517\) | −20.1651 | + | 11.6423i | −0.886861 | + | 0.512029i | ||||
\(518\) | 13.0588 | + | 7.53949i | 0.573770 | + | 0.331266i | ||||
\(519\) | −0.612472 | − | 1.06083i | −0.0268845 | − | 0.0465654i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −11.4246 | −0.500520 | −0.250260 | − | 0.968179i | \(-0.580516\pi\) | ||||
−0.250260 | + | 0.968179i | \(0.580516\pi\) | |||||||
\(522\) | −53.3340 | + | 30.7924i | −2.33436 | + | 1.34775i | ||||
\(523\) | 11.3570 | − | 6.55696i | 0.496607 | − | 0.286716i | −0.230704 | − | 0.973024i | \(-0.574103\pi\) |
0.727311 | + | 0.686308i | \(0.240770\pi\) | |||||||
\(524\) | −2.40457 | −0.105044 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.56746 | + | 7.91107i | 0.199151 | + | 0.344939i | ||||
\(527\) | 10.3966 | + | 6.00250i | 0.452884 | + | 0.261473i | ||||
\(528\) | −14.2503 | + | 8.22742i | −0.620165 | + | 0.358052i | ||||
\(529\) | −0.526988 | + | 0.912769i | −0.0229125 | + | 0.0396856i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −28.9153 | −1.25482 | ||||||||
\(532\) | 7.21955 | + | 8.84955i | 0.313007 | + | 0.383677i | ||||
\(533\) | − | 27.0083i | − | 1.16986i | ||||||
\(534\) | −13.5327 | + | 23.4393i | −0.585617 | + | 1.01432i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0.189935 | + | 0.328977i | 0.00820394 | + | 0.0142096i | ||||
\(537\) | 22.7600 | + | 13.1405i | 0.982166 | + | 0.567054i | ||||
\(538\) | −14.6440 | + | 8.45474i | −0.631350 | + | 0.364510i | ||||
\(539\) | 0.679967 | 0.0292883 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 14.4949 | + | 25.1059i | 0.623183 | + | 1.07939i | 0.988889 | + | 0.148655i | \(0.0474943\pi\) |
−0.365706 | + | 0.930730i | \(0.619172\pi\) | |||||||
\(542\) | −13.7609 | + | 7.94483i | −0.591079 | + | 0.341260i | ||||
\(543\) | 68.7283i | 2.94941i | ||||||||
\(544\) | −3.65996 | −0.156919 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 19.8674 | − | 34.4113i | 0.850245 | − | 1.47267i | ||||
\(547\) | 30.8724 | − | 17.8242i | 1.32001 | − | 0.762108i | 0.336280 | − | 0.941762i | \(-0.390831\pi\) |
0.983730 | + | 0.179654i | \(0.0574977\pi\) | |||||||
\(548\) | 15.0992 | + | 8.71751i | 0.645004 | + | 0.372393i | ||||
\(549\) | 0.498053 | − | 0.862653i | 0.0212564 | − | 0.0368171i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −27.1547 | + | 22.1531i | −1.15683 | + | 0.943753i | ||||
\(552\) | 15.2952i | 0.651008i | ||||||||
\(553\) | −18.0728 | − | 10.4343i | −0.768534 | − | 0.443713i | ||||
\(554\) | 5.74261 | − | 9.94648i | 0.243980 | − | 0.422586i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.78487 | + | 8.28764i | −0.202924 | + | 0.351474i | ||||
\(557\) | −10.8726 | + | 6.27731i | −0.460688 | + | 0.265978i | −0.712333 | − | 0.701841i | \(-0.752362\pi\) |
0.251646 | + | 0.967819i | \(0.419028\pi\) | |||||||
\(558\) | 25.1253i | 1.06364i | ||||||||
\(559\) | 2.69540 | 0.114003 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −30.1120 | − | 52.1555i | −1.27133 | − | 2.20201i | ||||
\(562\) | − | 14.2897i | − | 0.602773i | ||||||
\(563\) | − | 2.88509i | − | 0.121592i | −0.998150 | − | 0.0607960i | \(-0.980636\pi\) | ||
0.998150 | − | 0.0607960i | \(-0.0193639\pi\) | |||||||
\(564\) | −7.54227 | − | 13.0636i | −0.317587 | − | 0.550076i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −1.58215 | − | 2.74037i | −0.0665029 | − | 0.115186i | ||||
\(567\) | −60.5738 | − | 34.9723i | −2.54386 | − | 1.46870i | ||||
\(568\) | −7.91107 | − | 4.56746i | −0.331941 | − | 0.191646i | ||||
\(569\) | 10.9249 | 0.457996 | 0.228998 | − | 0.973427i | \(-0.426455\pi\) | ||||
0.228998 | + | 0.973427i | \(0.426455\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.27911 | 0.262772 | 0.131386 | − | 0.991331i | \(-0.458057\pi\) | ||||
0.131386 | + | 0.991331i | \(0.458057\pi\) | |||||||
\(572\) | 20.2729 | + | 11.7046i | 0.847653 | + | 0.489393i | ||||
\(573\) | 22.7329 | + | 13.1249i | 0.949681 | + | 0.548299i | ||||
\(574\) | −7.61763 | − | 13.1941i | −0.317954 | − | 0.550712i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −3.82998 | − | 6.63372i | −0.159582 | − | 0.276405i | ||||
\(577\) | 25.9848i | 1.08176i | 0.841100 | + | 0.540880i | \(0.181909\pi\) | ||||
−0.841100 | + | 0.540880i | \(0.818091\pi\) | |||||||
\(578\) | 3.60470i | 0.149936i | ||||||||
\(579\) | −33.0493 | − | 57.2430i | −1.37348 | − | 2.37894i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −20.6203 | −0.855475 | ||||||||
\(582\) | 52.8593i | 2.19109i | ||||||||
\(583\) | −20.1651 | + | 11.6423i | −0.835154 | + | 0.482176i | ||||
\(584\) | 4.25261 | − | 7.36574i | 0.175974 | − | 0.304796i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −7.35468 | + | 12.7387i | −0.303819 | + | 0.526230i | ||||
\(587\) | 31.4448 | + | 18.1547i | 1.29787 | + | 0.749324i | 0.980035 | − | 0.198823i | \(-0.0637119\pi\) |
0.317832 | + | 0.948147i | \(0.397045\pi\) | |||||||
\(588\) | 0.440504i | 0.0181661i | ||||||||
\(589\) | 2.28786 | + | 14.1133i | 0.0942697 | + | 0.581530i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 4.76691 | − | 8.25652i | 0.196084 | − | 0.339628i | ||||
\(592\) | −4.98402 | − | 2.87752i | −0.204842 | − | 0.118266i | ||||
\(593\) | −27.4783 | + | 15.8646i | −1.12840 | + | 0.651482i | −0.943532 | − | 0.331281i | \(-0.892519\pi\) |
−0.184868 | + | 0.982763i | \(0.559186\pi\) | |||||||
\(594\) | 38.3394 | − | 66.4058i | 1.57309 | − | 2.72466i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −17.1244 | −0.701441 | ||||||||
\(597\) | − | 50.9493i | − | 2.08522i | ||||||
\(598\) | 18.8442 | − | 10.8797i | 0.770598 | − | 0.444905i | ||||
\(599\) | −0.174654 | − | 0.302510i | −0.00713619 | − | 0.0123602i | 0.862435 | − | 0.506167i | \(-0.168938\pi\) |
−0.869571 | + | 0.493807i | \(0.835605\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 33.7305 | 1.37590 | 0.687949 | − | 0.725759i | \(-0.258511\pi\) | ||||
0.687949 | + | 0.725759i | \(0.258511\pi\) | |||||||
\(602\) | 1.31676 | − | 0.760232i | 0.0536671 | − | 0.0309847i | ||||
\(603\) | −2.51995 | − | 1.45489i | −0.102620 | − | 0.0592479i | ||||
\(604\) | −2.72220 | − | 4.71499i | −0.110765 | − | 0.191850i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −13.8196 | + | 23.9362i | −0.561382 | + | 0.972342i | ||||
\(607\) | − | 28.0561i | − | 1.13876i | −0.822073 | − | 0.569382i | \(-0.807183\pi\) | ||
0.822073 | − | 0.569382i | \(-0.192817\pi\) | |||||||
\(608\) | −2.75542 | − | 3.37752i | −0.111747 | − | 0.136977i | ||||
\(609\) | 68.7777 | 2.78701 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −10.7299 | + | 18.5847i | −0.434084 | + | 0.751855i | ||||
\(612\) | 24.2791 | − | 14.0176i | 0.981426 | − | 0.566627i | ||||
\(613\) | −35.8969 | − | 20.7251i | −1.44986 | − | 0.837078i | −0.451389 | − | 0.892327i | \(-0.649071\pi\) |
−0.998473 | + | 0.0552496i | \(0.982405\pi\) | |||||||
\(614\) | −13.0727 | − | 22.6425i | −0.527570 | − | 0.913779i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 13.2050 | 0.532045 | ||||||||
\(617\) | 5.09985 | − | 2.94440i | 0.205312 | − | 0.118537i | −0.393819 | − | 0.919188i | \(-0.628846\pi\) |
0.599131 | + | 0.800651i | \(0.295513\pi\) | |||||||
\(618\) | 33.5059 | − | 19.3446i | 1.34780 | − | 0.778155i | ||||
\(619\) | −13.7152 | −0.551261 | −0.275631 | − | 0.961264i | \(-0.588887\pi\) | ||||
−0.275631 | + | 0.961264i | \(0.588887\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −35.6375 | − | 61.7260i | −1.43009 | − | 2.47698i | ||||
\(622\) | −5.75941 | − | 3.32519i | −0.230931 | − | 0.133328i | ||||
\(623\) | 18.8101 | − | 10.8600i | 0.753609 | − | 0.435096i | ||||
\(624\) | −7.58259 | + | 13.1334i | −0.303547 | + | 0.525758i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −17.3798 | −0.694635 | ||||||||
\(627\) | 25.4608 | − | 67.0539i | 1.01681 | − | 2.67787i | ||||
\(628\) | 0.0246993i | 0.000985608i | ||||||||
\(629\) | 10.5316 | − | 18.2413i | 0.419923 | − | 0.727328i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.14468 | + | 14.1070i | 0.324235 | + | 0.561591i | 0.981357 | − | 0.192193i | \(-0.0615600\pi\) |
−0.657123 | + | 0.753784i | \(0.728227\pi\) | |||||||
\(632\) | 6.89767 | + | 3.98237i | 0.274375 | + | 0.158410i | ||||
\(633\) | −3.23801 | + | 1.86947i | −0.128699 | + | 0.0743047i | ||||
\(634\) | −1.37529 | −0.0546199 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −7.54227 | − | 13.0636i | −0.299070 | − | 0.518005i | ||||
\(637\) | 0.542716 | − | 0.313337i | 0.0215032 | − | 0.0124149i | ||||
\(638\) | 40.5194i | 1.60418i | ||||||||
\(639\) | 69.9731 | 2.76809 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −14.8124 | + | 25.6559i | −0.585056 | + | 1.01335i | 0.409812 | + | 0.912170i | \(0.365594\pi\) |
−0.994868 | + | 0.101177i | \(0.967739\pi\) | |||||||
\(642\) | −47.5309 | + | 27.4420i | −1.87590 | + | 1.08305i | ||||
\(643\) | −10.4105 | − | 6.01050i | −0.410549 | − | 0.237031i | 0.280476 | − | 0.959861i | \(-0.409508\pi\) |
−0.691026 | + | 0.722830i | \(0.742841\pi\) | |||||||
\(644\) | 6.13721 | − | 10.6300i | 0.241840 | − | 0.418879i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 12.3616 | − | 10.0847i | 0.486361 | − | 0.396778i | ||||
\(647\) | 3.16079i | 0.124263i | 0.998068 | + | 0.0621317i | \(0.0197899\pi\) | ||||
−0.998068 | + | 0.0621317i | \(0.980210\pi\) | |||||||
\(648\) | 23.1186 | + | 13.3475i | 0.908186 | + | 0.524341i | ||||
\(649\) | −9.51235 | + | 16.4759i | −0.373392 | + | 0.646735i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 14.0300 | − | 24.3006i | 0.549877 | − | 0.952415i | ||||
\(652\) | −9.38313 | + | 5.41735i | −0.367472 | + | 0.212160i | ||||
\(653\) | 19.6097i | 0.767387i | 0.923461 | + | 0.383693i | \(0.125348\pi\) | ||||
−0.923461 | + | 0.383693i | \(0.874652\pi\) | |||||||
\(654\) | −65.3141 | −2.55398 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 2.90735 | + | 5.03568i | 0.113513 | + | 0.196610i | ||||
\(657\) | 65.1496i | 2.54173i | ||||||||
\(658\) | 12.1053i | 0.471915i | ||||||||
\(659\) | −9.03748 | − | 15.6534i | −0.352050 | − | 0.609769i | 0.634558 | − | 0.772875i | \(-0.281182\pi\) |
−0.986609 | + | 0.163106i | \(0.947849\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 7.26715 | + | 12.5871i | 0.282660 | + | 0.489581i | 0.972039 | − | 0.234820i | \(-0.0754500\pi\) |
−0.689379 | + | 0.724400i | \(0.742117\pi\) | |||||||
\(662\) | −10.1671 | − | 5.86996i | −0.395154 | − | 0.228142i | ||||
\(663\) | −48.0678 | − | 27.7520i | −1.86680 | − | 1.07780i | ||||
\(664\) | 7.86996 | 0.305414 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 44.0834 | 1.70820 | ||||||||
\(667\) | 32.6179 | + | 18.8319i | 1.26297 | + | 0.729175i | ||||
\(668\) | −5.44278 | − | 3.14239i | −0.210587 | − | 0.121583i | ||||
\(669\) | −25.0251 | − | 43.3447i | −0.967525 | − | 1.67580i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.327691 | − | 0.567578i | −0.0126504 | − | 0.0219111i | ||||
\(672\) | 8.55462i | 0.330002i | ||||||||
\(673\) | − | 6.13522i | − | 0.236495i | −0.992984 | − | 0.118248i | \(-0.962272\pi\) | ||
0.992984 | − | 0.118248i | \(-0.0377277\pi\) | |||||||
\(674\) | 6.44005 | + | 11.1545i | 0.248061 | + | 0.429655i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 8.57444 | 0.329786 | ||||||||
\(677\) | − | 13.6380i | − | 0.524150i | −0.965047 | − | 0.262075i | \(-0.915593\pi\) | ||
0.965047 | − | 0.262075i | \(-0.0844068\pi\) | |||||||
\(678\) | −40.5765 | + | 23.4269i | −1.55833 | + | 0.899703i | ||||
\(679\) | 21.2098 | − | 36.7364i | 0.813957 | − | 1.40982i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −31.4823 | + | 54.5290i | −1.20640 | + | 2.08955i | ||||
\(682\) | 14.3163 | + | 8.26554i | 0.548201 | + | 0.316504i | ||||
\(683\) | − | 16.7550i | − | 0.641114i | −0.947229 | − | 0.320557i | \(-0.896130\pi\) | ||
0.947229 | − | 0.320557i | \(-0.103870\pi\) | |||||||
\(684\) | 31.2145 | + | 11.8524i | 1.19352 | + | 0.453186i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 9.34721 | − | 16.1898i | 0.356878 | − | 0.618131i | ||||
\(687\) | −40.6464 | − | 23.4672i | −1.55076 | − | 0.895329i | ||||
\(688\) | −0.502555 | + | 0.290150i | −0.0191597 | + | 0.0110619i | ||||
\(689\) | −10.7299 | + | 18.5847i | −0.408775 | + | 0.708019i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 21.5889 | 0.821280 | 0.410640 | − | 0.911798i | \(-0.365305\pi\) | ||||
0.410640 | + | 0.911798i | \(0.365305\pi\) | |||||||
\(692\) | − | 0.375179i | − | 0.0142622i | ||||||
\(693\) | −87.5983 | + | 50.5749i | −3.32758 | + | 1.92118i | ||||
\(694\) | −2.46724 | − | 4.27339i | −0.0936553 | − | 0.162216i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −26.2497 | −0.994993 | ||||||||
\(697\) | −18.4304 | + | 10.6408i | −0.698100 | + | 0.403048i | ||||
\(698\) | 1.09634 | + | 0.632972i | 0.0414970 | + | 0.0239583i | ||||
\(699\) | −22.5697 | − | 39.0919i | −0.853666 | − | 1.47859i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 18.8628 | − | 32.6713i | 0.712437 | − | 1.23398i | −0.251503 | − | 0.967857i | \(-0.580925\pi\) |
0.963940 | − | 0.266121i | \(-0.0857419\pi\) | |||||||
\(702\) | − | 70.6691i | − | 2.66723i | ||||||
\(703\) | 24.7624 | − | 4.01415i | 0.933933 | − | 0.151396i | ||||
\(704\) | −5.03983 | −0.189946 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.08030 | − | 1.87114i | 0.0406577 | − | 0.0704211i | ||||
\(707\) | 19.2088 | − | 11.0902i | 0.722422 | − | 0.417090i | ||||
\(708\) | −10.6736 | − | 6.16240i | −0.401138 | − | 0.231597i | ||||
\(709\) | −10.4795 | − | 18.1511i | −0.393567 | − | 0.681678i | 0.599350 | − | 0.800487i | \(-0.295426\pi\) |
−0.992917 | + | 0.118809i | \(0.962092\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −61.0096 | −2.28804 | ||||||||
\(712\) | −7.17905 | + | 4.14483i | −0.269046 | + | 0.155334i | ||||
\(713\) | 13.3074 | − | 7.68305i | 0.498367 | − | 0.287732i | ||||
\(714\) | −31.3096 | −1.17173 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 4.02470 | + | 6.97098i | 0.150410 | + | 0.260518i | ||||
\(717\) | 42.3272 | + | 24.4376i | 1.58074 | + | 0.912639i | ||||
\(718\) | 4.10463 | − | 2.36981i | 0.153183 | − | 0.0884405i | ||||
\(719\) | −22.1401 | + | 38.3477i | −0.825686 | + | 1.43013i | 0.0757084 | + | 0.997130i | \(0.475878\pi\) |
−0.901394 | + | 0.433000i | \(0.857455\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −31.0481 | −1.15629 | ||||||||
\(722\) | 18.6130 | + | 3.81534i | 0.692704 | + | 0.141992i | ||||
\(723\) | 63.1096i | 2.34707i | ||||||||
\(724\) | −10.5251 | + | 18.2301i | −0.391164 | + | 0.677515i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −23.5075 | − | 40.7162i | −0.872445 | − | 1.51112i | ||||
\(727\) | −41.9448 | − | 24.2169i | −1.55565 | − | 0.898154i | −0.997665 | − | 0.0683017i | \(-0.978242\pi\) |
−0.557983 | − | 0.829852i | \(-0.688425\pi\) | |||||||
\(728\) | 10.5396 | − | 6.08503i | 0.390623 | − | 0.225526i | ||||
\(729\) | −55.4584 | −2.05402 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −1.06194 | − | 1.83933i | −0.0392772 | − | 0.0680301i | ||||
\(732\) | 0.367695 | − | 0.212289i | 0.0135904 | − | 0.00784641i | ||||
\(733\) | − | 9.62940i | − | 0.355670i | −0.984060 | − | 0.177835i | \(-0.943091\pi\) | ||
0.984060 | − | 0.177835i | \(-0.0569093\pi\) | |||||||
\(734\) | −22.8944 | −0.845046 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.34233 | + | 4.05703i | −0.0863394 | + | 0.149544i | ||||
\(737\) | −1.65799 | + | 0.957240i | −0.0610728 | + | 0.0352604i | ||||
\(738\) | −38.5731 | − | 22.2702i | −1.41989 | − | 0.819777i | ||||
\(739\) | −20.3423 | + | 35.2338i | −0.748303 | + | 1.29610i | 0.200333 | + | 0.979728i | \(0.435798\pi\) |
−0.948636 | + | 0.316370i | \(0.897536\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −10.5777 | − | 65.2517i | −0.388582 | − | 2.39708i | ||||
\(742\) | 12.1053i | 0.444401i | ||||||||
\(743\) | −2.48123 | − | 1.43254i | −0.0910276 | − | 0.0525548i | 0.453795 | − | 0.891106i | \(-0.350070\pi\) |
−0.544823 | + | 0.838551i | \(0.683403\pi\) | |||||||
\(744\) | −5.35468 | + | 9.27458i | −0.196312 | + | 0.340022i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 9.61964 | − | 16.6617i | 0.352200 | − | 0.610028i | ||||
\(747\) | −52.2071 | + | 30.1418i | −1.91016 | + | 1.10283i | ||||
\(748\) | − | 18.4456i | − | 0.674437i | ||||||
\(749\) | 44.0444 | 1.60935 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 13.1148 | + | 22.7155i | 0.478566 | + | 0.828900i | 0.999698 | − | 0.0245758i | \(-0.00782351\pi\) |
−0.521132 | + | 0.853476i | \(0.674490\pi\) | |||||||
\(752\) | − | 4.62013i | − | 0.168479i | ||||||
\(753\) | − | 33.7104i | − | 1.22848i | ||||||
\(754\) | 18.6718 | + | 32.3405i | 0.679987 | + | 1.17777i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −19.9321 | − | 34.5234i | −0.724923 | − | 1.25560i | ||||
\(757\) | 5.70182 | + | 3.29195i | 0.207236 | + | 0.119648i | 0.600026 | − | 0.799980i | \(-0.295157\pi\) |
−0.392790 | + | 0.919628i | \(0.628490\pi\) | |||||||
\(758\) | −5.59412 | − | 3.22976i | −0.203187 | − | 0.117310i | ||||
\(759\) | −77.0853 | −2.79802 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −27.7549 | −1.00612 | −0.503058 | − | 0.864253i | \(-0.667792\pi\) | ||||
−0.503058 | + | 0.864253i | \(0.667792\pi\) | |||||||
\(762\) | 22.2954 | + | 12.8722i | 0.807677 | + | 0.466312i | ||||
\(763\) | 45.3924 | + | 26.2073i | 1.64331 | + | 0.948768i | ||||
\(764\) | 4.01991 | + | 6.96270i | 0.145435 | + | 0.251902i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 4.56746 | + | 7.91107i | 0.165029 | + | 0.285839i | ||||
\(767\) | 17.5336i | 0.633103i | ||||||||
\(768\) | − | 3.26496i | − | 0.117814i | ||||||
\(769\) | 8.32285 | + | 14.4156i | 0.300130 | + | 0.519840i | 0.976165 | − | 0.217029i | \(-0.0696367\pi\) |
−0.676035 | + | 0.736869i | \(0.736303\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 93.9303 | 3.38282 | ||||||||
\(772\) | − | 20.2448i | − | 0.728628i | ||||||
\(773\) | −20.9664 | + | 12.1049i | −0.754108 | + | 0.435385i | −0.827176 | − | 0.561942i | \(-0.810054\pi\) |
0.0730682 | + | 0.997327i | \(0.476721\pi\) | |||||||
\(774\) | 2.22254 | − | 3.84955i | 0.0798876 | − | 0.138369i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −8.09494 | + | 14.0208i | −0.290591 | + | 0.503319i | ||||
\(777\) | −42.6364 | − | 24.6161i | −1.52957 | − | 0.883098i | ||||
\(778\) | 26.6848i | 0.956698i | ||||||||
\(779\) | −23.6950 | − | 8.99716i | −0.848963 | − | 0.322357i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 23.0192 | − | 39.8704i | 0.823692 | − | 1.42668i | ||||
\(782\) | −14.8486 | − | 8.57283i | −0.530984 | − | 0.306564i | ||||
\(783\) | 105.934 | − | 61.1613i | 3.78579 | − | 2.18573i | ||||
\(784\) | −0.0674593 | + | 0.116843i | −0.00240926 | + | 0.00417296i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 7.85082 | 0.280030 | ||||||||
\(787\) | 1.63409i | 0.0582490i | 0.999576 | + | 0.0291245i | \(0.00927193\pi\) | ||||
−0.999576 | + | 0.0291245i | \(0.990728\pi\) | |||||||
\(788\) | 2.52883 | − | 1.46002i | 0.0900858 | − | 0.0520111i | ||||
\(789\) | −14.9126 | − | 25.8293i | −0.530902 | − | 0.919548i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 37.6001 | 1.33691 | ||||||||
\(792\) | 33.4328 | − | 19.3024i | 1.18798 | − | 0.685882i | ||||
\(793\) | −0.523094 | − | 0.302008i | −0.0185756 | − | 0.0107246i | ||||
\(794\) | 7.37459 | + | 12.7732i | 0.261715 | + | 0.453303i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 7.80244 | − | 13.5142i | 0.276550 | − | 0.478999i | ||||
\(797\) | 12.2802i | 0.434987i | 0.976062 | + | 0.217494i | \(0.0697881\pi\) | ||||
−0.976062 | + | 0.217494i | \(0.930212\pi\) | |||||||
\(798\) | −23.5715 | − | 28.8934i | −0.834424 | − | 1.02282i | ||||
\(799\) | 16.9095 | 0.598215 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 31.7492 | − | 54.9913i | 1.12180 | − | 1.94302i | ||||
\(802\) | 10.0930 | − | 5.82720i | 0.356396 | − | 0.205766i | ||||
\(803\) | 37.1221 | + | 21.4324i | 1.31001 | + | 0.756334i | ||||
\(804\) | −0.620130 | − | 1.07410i | −0.0218703 | − | 0.0378805i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 15.2355 | 0.536646 | ||||||||
\(807\) | 47.8122 | − | 27.6044i | 1.68307 | − | 0.971721i | ||||
\(808\) | −7.33124 | + | 4.23270i | −0.257912 | + | 0.148906i | ||||
\(809\) | −49.2846 | −1.73275 | −0.866376 | − | 0.499392i | \(-0.833557\pi\) | ||||
−0.866376 | + | 0.499392i | \(0.833557\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −11.5927 | − | 20.0791i | −0.407073 | − | 0.705071i | 0.587487 | − | 0.809233i | \(-0.300117\pi\) |
−0.994560 | + | 0.104162i | \(0.966784\pi\) | |||||||
\(812\) | 18.2432 | + | 10.5327i | 0.640210 | + | 0.369625i | ||||
\(813\) | 44.9286 | − | 25.9396i | 1.57572 | − | 0.909740i | ||||
\(814\) | 14.5022 | − | 25.1186i | 0.508303 | − | 0.880407i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 11.9496 | 0.418320 | ||||||||
\(817\) | 0.897907 | − | 2.36474i | 0.0314138 | − | 0.0827318i | ||||
\(818\) | − | 39.5648i | − | 1.38335i | ||||||
\(819\) | −46.6111 | + | 80.7327i | −1.62872 | + | 2.82103i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −13.5793 | − | 23.5201i | −0.473921 | − | 0.820856i | 0.525633 | − | 0.850712i | \(-0.323829\pi\) |
−0.999554 | + | 0.0298556i | \(0.990495\pi\) | |||||||
\(822\) | −49.2982 | − | 28.4623i | −1.71947 | − | 0.992737i | ||||
\(823\) | −7.77209 | + | 4.48722i | −0.270918 | + | 0.156415i | −0.629305 | − | 0.777159i | \(-0.716660\pi\) |
0.358387 | + | 0.933573i | \(0.383327\pi\) | |||||||
\(824\) | 11.8498 | 0.412809 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.94532 | + | 8.56555i | 0.172070 | + | 0.298034i | ||||
\(827\) | −20.7890 | + | 12.0025i | −0.722904 | + | 0.417369i | −0.815821 | − | 0.578305i | \(-0.803714\pi\) |
0.0929165 | + | 0.995674i | \(0.470381\pi\) | |||||||
\(828\) | − | 35.8843i | − | 1.24707i | ||||||
\(829\) | −25.7361 | −0.893852 | −0.446926 | − | 0.894571i | \(-0.647481\pi\) | ||||
−0.446926 | + | 0.894571i | \(0.647481\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −18.7494 | + | 32.4749i | −0.650409 | + | 1.12654i | ||||
\(832\) | −4.02254 | + | 2.32241i | −0.139456 | + | 0.0805152i | ||||
\(833\) | −0.427641 | − | 0.246898i | −0.0148169 | − | 0.00855452i | ||||
\(834\) | 15.6224 | − | 27.0588i | 0.540960 | − | 0.936970i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 17.0221 | − | 13.8868i | 0.588723 | − | 0.480286i | ||||
\(837\) | − | 49.9052i | − | 1.72498i | ||||||
\(838\) | 15.0075 | + | 8.66459i | 0.518426 | + | 0.299313i | ||||
\(839\) | −16.3570 | + | 28.3311i | −0.564705 | + | 0.978098i | 0.432372 | + | 0.901695i | \(0.357677\pi\) |
−0.997077 | + | 0.0764027i | \(0.975657\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.8194 | + | 30.8642i | −0.614463 | + | 1.06428i | ||||
\(842\) | 21.0707 | − | 12.1652i | 0.726145 | − | 0.419240i | ||||
\(843\) | 46.6552i | 1.60689i | ||||||||
\(844\) | −1.14517 | −0.0394184 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 17.6950 | + | 30.6486i | 0.608367 | + | 1.05372i | ||||
\(847\) | 37.7296i | 1.29640i | ||||||||
\(848\) | − | 4.62013i | − | 0.158656i | ||||||
\(849\) | 5.16567 | + | 8.94720i | 0.177285 | + | 0.307067i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −13.4802 | − | 23.3484i | −0.462096 | − | 0.800374i | ||||
\(852\) | 25.8293 | + | 14.9126i | 0.884898 | + | 0.510896i | ||||
\(853\) | −26.8384 | − | 15.4952i | −0.918929 | − | 0.530544i | −0.0356360 | − | 0.999365i | \(-0.511346\pi\) |
−0.883293 | + | 0.468821i | \(0.844679\pi\) | |||||||
\(854\) | −0.340723 | −0.0116593 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −16.8100 | −0.574554 | ||||||||
\(857\) | −18.1865 | − | 10.5000i | −0.621240 | − | 0.358673i | 0.156112 | − | 0.987739i | \(-0.450104\pi\) |
−0.777352 | + | 0.629066i | \(0.783437\pi\) | |||||||
\(858\) | −66.1902 | − | 38.2150i | −2.25970 | − | 1.30464i | ||||
\(859\) | 14.1575 | + | 24.5215i | 0.483048 | + | 0.836664i | 0.999811 | − | 0.0194647i | \(-0.00619620\pi\) |
−0.516762 | + | 0.856129i | \(0.672863\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 24.8713 | + | 43.0783i | 0.847610 | + | 1.46810i | ||||
\(862\) | 28.2346i | 0.961674i | ||||||||
\(863\) | − | 10.9254i | − | 0.371905i | −0.982559 | − | 0.185953i | \(-0.940463\pi\) | ||
0.982559 | − | 0.185953i | \(-0.0595371\pi\) | |||||||
\(864\) | 7.60729 | + | 13.1762i | 0.258805 | + | 0.448264i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −23.3798 | −0.794476 | ||||||||
\(867\) | − | 11.7692i | − | 0.399703i | ||||||
\(868\) | 7.44285 | − | 4.29713i | 0.252627 | − | 0.145854i | ||||
\(869\) | −20.0705 | + | 34.7631i | −0.680845 | + | 1.17926i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.882216 | + | 1.52804i | −0.0298927 | + | 0.0517757i | ||||
\(872\) | −17.3245 | − | 10.0023i | −0.586681 | − | 0.338720i | ||||
\(873\) | − | 124.014i | − | 4.19723i | ||||||
\(874\) | −3.26755 | − | 20.1568i | −0.110526 | − | 0.681815i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −13.8846 | + | 24.0488i | −0.469117 | + | 0.812535i | ||||
\(877\) | 29.2972 | + | 16.9148i | 0.989297 | + | 0.571171i | 0.905064 | − | 0.425275i | \(-0.139823\pi\) |
0.0842330 | + | 0.996446i | \(0.473156\pi\) | |||||||
\(878\) | −23.1705 | + | 13.3775i | −0.781965 | + | 0.451468i | ||||
\(879\) | 24.0127 | − | 41.5913i | 0.809929 | − | 1.40284i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 29.3696 | 0.989488 | 0.494744 | − | 0.869039i | \(-0.335262\pi\) | ||||
0.494744 | + | 0.869039i | \(0.335262\pi\) | |||||||
\(882\) | − | 1.03347i | − | 0.0347988i | ||||||
\(883\) | −35.6803 | + | 20.6000i | −1.20074 | + | 0.693245i | −0.960719 | − | 0.277523i | \(-0.910486\pi\) |
−0.240017 | + | 0.970769i | \(0.577153\pi\) | |||||||
\(884\) | −8.49994 | − | 14.7223i | −0.285884 | − | 0.495166i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −17.6998 | −0.594636 | ||||||||
\(887\) | 22.4221 | − | 12.9454i | 0.752861 | − | 0.434665i | −0.0738656 | − | 0.997268i | \(-0.523534\pi\) |
0.826727 | + | 0.562604i | \(0.190200\pi\) | |||||||
\(888\) | 16.2726 | + | 9.39500i | 0.546073 | + | 0.315276i | ||||
\(889\) | −10.3300 | − | 17.8920i | −0.346456 | − | 0.600080i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −67.2694 | + | 116.514i | −2.25361 | + | 3.90336i | ||||
\(892\) | − | 15.3295i | − | 0.513269i | ||||||
\(893\) | 12.7304 | + | 15.6046i | 0.426006 | + | 0.522188i | ||||
\(894\) | 55.9104 | 1.86992 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −1.31007 | + | 2.26910i | −0.0437662 | + | 0.0758053i | ||||
\(897\) | −61.5256 | + | 35.5218i | −2.05428 | + | 1.18604i | ||||
\(898\) | 24.5553 | + | 14.1770i | 0.819423 | + | 0.473094i | ||||
\(899\) | 13.1857 | + | 22.8383i | 0.439767 | + | 0.761699i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 16.9095 | 0.563337 | ||||||||
\(902\) | −25.3790 | + | 14.6525i | −0.845027 | + | 0.487876i | ||||
\(903\) | −4.29917 | + | 2.48213i | −0.143067 | + | 0.0826000i | ||||
\(904\) | −14.3505 | −0.477290 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 8.88787 | + | 15.3942i | 0.295280 | + | 0.511439i | ||||
\(907\) | 22.0706 | + | 12.7425i | 0.732842 | + | 0.423106i | 0.819461 | − | 0.573135i | \(-0.194273\pi\) |
−0.0866192 | + | 0.996241i | \(0.527606\pi\) | |||||||
\(908\) | −16.7013 | + | 9.64248i | −0.554251 | + | 0.319997i | ||||
\(909\) | 32.4223 | − | 56.1570i | 1.07538 | − | 1.86261i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 10.1197 | 0.335280 | 0.167640 | − | 0.985848i | \(-0.446385\pi\) | ||||
0.167640 | + | 0.985848i | \(0.446385\pi\) | |||||||
\(912\) | 8.99633 | + | 11.0275i | 0.297898 | + | 0.365156i | ||||
\(913\) | 39.6633i | 1.31266i | ||||||||
\(914\) | 5.79488 | − | 10.0370i | 0.191678 | − | 0.331995i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −7.18759 | − | 12.4493i | −0.237485 | − | 0.411335i | ||||
\(917\) | −5.45621 | − | 3.15014i | −0.180180 | − | 0.104027i | ||||
\(918\) | −48.2244 | + | 27.8424i | −1.59164 | + | 0.918935i | ||||
\(919\) | 15.0939 | 0.497902 | 0.248951 | − | 0.968516i | \(-0.419914\pi\) | ||||
0.248951 | + | 0.968516i | \(0.419914\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 42.6818 | + | 73.9270i | 1.40641 | + | 2.43598i | ||||
\(922\) | 30.9862 | − | 17.8899i | 1.02048 | − | 0.589172i | ||||
\(923\) | − | 42.4301i | − | 1.39660i | ||||||
\(924\) | −43.1138 | −1.41834 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −11.7520 | + | 20.3550i | −0.386194 | + | 0.668907i | ||||
\(927\) | −78.6085 | + | 45.3846i | −2.58184 | + | 1.49063i | ||||
\(928\) | −6.96270 | − | 4.01991i | −0.228562 | − | 0.131960i | ||||
\(929\) | −5.40003 | + | 9.35312i | −0.177169 | + | 0.306866i | −0.940910 | − | 0.338657i | \(-0.890027\pi\) |
0.763741 | + | 0.645523i | \(0.223361\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.0941058 | − | 0.580519i | −0.00308419 | − | 0.0190257i | ||||
\(932\) | − | 13.8254i | − | 0.452867i | ||||||
\(933\) | 18.8042 | + | 10.8566i | 0.615623 | + | 0.355430i | ||||
\(934\) | −0.560236 | + | 0.970357i | −0.0183315 | + | 0.0317510i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 17.7896 | − | 30.8125i | 0.581471 | − | 1.00714i | ||||
\(937\) | −39.3163 | + | 22.6993i | −1.28441 | + | 0.741554i | −0.977651 | − | 0.210234i | \(-0.932577\pi\) |
−0.306758 | + | 0.951788i | \(0.599244\pi\) | |||||||
\(938\) | 0.995309i | 0.0324980i | ||||||||
\(939\) | 56.7442 | 1.85178 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −0.155325 | − | 0.269031i | −0.00506346 | − | 0.00877016i | 0.863483 | − | 0.504379i | \(-0.168278\pi\) |
−0.868546 | + | 0.495609i | \(0.834945\pi\) | |||||||
\(942\) | − | 0.0806421i | − | 0.00262746i | ||||||
\(943\) | 27.2399i | 0.887053i | ||||||||
\(944\) | −1.88743 | − | 3.26913i | −0.0614308 | − | 0.106401i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.46231 | − | 2.53279i | −0.0475438 | − | 0.0823482i | ||||
\(947\) | 3.65897 | + | 2.11251i | 0.118901 | + | 0.0686473i | 0.558271 | − | 0.829659i | \(-0.311465\pi\) |
−0.439370 | + | 0.898306i | \(0.644798\pi\) | |||||||
\(948\) | −22.5206 | − | 13.0023i | −0.731436 | − | 0.422295i | ||||
\(949\) | 39.5053 | 1.28240 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 4.49028 | 0.145607 | ||||||||
\(952\) | −8.30481 | − | 4.79478i | −0.269160 | − | 0.155400i | ||||
\(953\) | 29.3008 | + | 16.9168i | 0.949145 | + | 0.547989i | 0.892815 | − | 0.450423i | \(-0.148727\pi\) |
0.0563297 | + | 0.998412i | \(0.482060\pi\) | |||||||
\(954\) | 17.6950 | + | 30.6486i | 0.572897 | + | 0.992287i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 7.48481 | + | 12.9641i | 0.242076 | + | 0.419288i | ||||
\(957\) | − | 132.294i | − | 4.27646i | ||||||
\(958\) | − | 27.3094i | − | 0.882326i | ||||||
\(959\) | 22.8410 | + | 39.5618i | 0.737574 | + | 1.27752i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −20.2410 | −0.652936 | ||||||||
\(962\) | − | 26.7312i | − | 0.861849i | ||||||
\(963\) | 111.513 | − | 64.3820i | 3.59345 | − | 2.07468i | ||||
\(964\) | −9.66469 | + | 16.7397i | −0.311279 | + | 0.539150i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −20.0377 | + | 34.7064i | −0.644703 | + | 1.11666i | ||||
\(967\) | 33.9875 | + | 19.6227i | 1.09296 | + | 0.631024i | 0.934364 | − | 0.356319i | \(-0.115968\pi\) |
0.158601 | + | 0.987343i | \(0.449302\pi\) | |||||||
\(968\) | − | 14.3999i | − | 0.462830i | ||||||
\(969\) | −40.3601 | + | 32.9262i | −1.29655 | + | 1.05774i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −20.3469 | + | 35.2419i | −0.652963 | + | 1.13097i | 0.329437 | + | 0.944178i | \(0.393141\pi\) |
−0.982400 | + | 0.186788i | \(0.940192\pi\) | |||||||
\(972\) | −35.9528 | − | 20.7573i | −1.15319 | − | 0.665792i | ||||
\(973\) | −21.7147 | + | 12.5370i | −0.696142 | + | 0.401918i | ||||
\(974\) | 3.16002 | − | 5.47331i | 0.101253 | − | 0.175376i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.130041 | 0.00416250 | ||||||||
\(977\) | 26.7081i | 0.854467i | 0.904141 | + | 0.427233i | \(0.140512\pi\) | ||||
−0.904141 | + | 0.427233i | \(0.859488\pi\) | |||||||
\(978\) | 30.6355 | − | 17.6874i | 0.979617 | − | 0.565582i | ||||
\(979\) | −20.8892 | − | 36.1812i | −0.667623 | − | 1.15636i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 153.234 | 4.89239 | ||||||||
\(982\) | −22.3478 | + | 12.9025i | −0.713147 | + | 0.411736i | ||||
\(983\) | 21.6233 | + | 12.4842i | 0.689677 | + | 0.398185i | 0.803491 | − | 0.595317i | \(-0.202974\pi\) |
−0.113814 | + | 0.993502i | \(0.536307\pi\) | |||||||
\(984\) | −9.49238 | − | 16.4413i | −0.302606 | − | 0.524129i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 14.7127 | − | 25.4832i | 0.468549 | − | 0.811550i | ||||
\(987\) | − | 39.5234i | − | 1.25805i | ||||||
\(988\) | 7.18700 | − | 18.9278i | 0.228649 | − | 0.602173i | ||||
\(989\) | −2.71851 | −0.0864436 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.53968 | − | 13.0591i | 0.239506 | − | 0.414836i | −0.721067 | − | 0.692866i | \(-0.756348\pi\) |
0.960573 | + | 0.278029i | \(0.0896813\pi\) | |||||||
\(992\) | −2.84064 | + | 1.64004i | −0.0901904 | + | 0.0520715i | ||||
\(993\) | 33.1951 | + | 19.1652i | 1.05341 | + | 0.608189i | ||||
\(994\) | −11.9673 | − | 20.7280i | −0.379581 | − | 0.657453i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −25.6951 | −0.814180 | ||||||||
\(997\) | 35.6158 | − | 20.5628i | 1.12796 | − | 0.651229i | 0.184541 | − | 0.982825i | \(-0.440920\pi\) |
0.943422 | + | 0.331595i | \(0.107587\pi\) | |||||||
\(998\) | 25.0406 | − | 14.4572i | 0.792646 | − | 0.457634i | ||||
\(999\) | −87.5606 | −2.77030 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 950.2.j.i.49.4 | 16 | ||
5.2 | odd | 4 | 950.2.e.m.201.4 | yes | 8 | ||
5.3 | odd | 4 | 950.2.e.l.201.1 | ✓ | 8 | ||
5.4 | even | 2 | inner | 950.2.j.i.49.5 | 16 | ||
19.7 | even | 3 | inner | 950.2.j.i.349.5 | 16 | ||
95.7 | odd | 12 | 950.2.e.m.501.4 | yes | 8 | ||
95.64 | even | 6 | inner | 950.2.j.i.349.4 | 16 | ||
95.83 | odd | 12 | 950.2.e.l.501.1 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.e.l.201.1 | ✓ | 8 | 5.3 | odd | 4 | ||
950.2.e.l.501.1 | yes | 8 | 95.83 | odd | 12 | ||
950.2.e.m.201.4 | yes | 8 | 5.2 | odd | 4 | ||
950.2.e.m.501.4 | yes | 8 | 95.7 | odd | 12 | ||
950.2.j.i.49.4 | 16 | 1.1 | even | 1 | trivial | ||
950.2.j.i.49.5 | 16 | 5.4 | even | 2 | inner | ||
950.2.j.i.349.4 | 16 | 95.64 | even | 6 | inner | ||
950.2.j.i.349.5 | 16 | 19.7 | even | 3 | inner |