Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(17,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.f (of order \(18\), degree \(6\), 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: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 54) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 71.5 | ||
Character | \(\chi\) | \(=\) | 162.71 |
Dual form | 162.3.f.a.89.5 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.39273 | − | 0.245576i | 0.696364 | − | 0.122788i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.87939 | − | 0.684040i | 0.469846 | − | 0.171010i | ||||
\(5\) | 1.49345 | − | 1.77982i | 0.298689 | − | 0.355964i | −0.595737 | − | 0.803180i | \(-0.703140\pi\) |
0.894426 | + | 0.447216i | \(0.147584\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 5.91054 | + | 2.15126i | 0.844363 | + | 0.307323i | 0.727740 | − | 0.685853i | \(-0.240571\pi\) |
0.116623 | + | 0.993176i | \(0.462793\pi\) | |||||||
\(8\) | 2.44949 | − | 1.41421i | 0.306186 | − | 0.176777i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.64289 | − | 2.84556i | 0.164289 | − | 0.284556i | ||||
\(11\) | −1.00782 | − | 1.20107i | −0.0916196 | − | 0.109188i | 0.718287 | − | 0.695747i | \(-0.244927\pi\) |
−0.809906 | + | 0.586559i | \(0.800482\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.33408 | − | 7.56595i | 0.102622 | − | 0.581996i | −0.889522 | − | 0.456892i | \(-0.848963\pi\) |
0.992144 | − | 0.125104i | \(-0.0399264\pi\) | |||||||
\(14\) | 8.76008 | + | 1.54464i | 0.625720 | + | 0.110331i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.06418 | − | 2.57115i | 0.191511 | − | 0.160697i | ||||
\(17\) | 20.1411 | + | 11.6285i | 1.18477 | + | 0.684028i | 0.957114 | − | 0.289713i | \(-0.0935597\pi\) |
0.227658 | + | 0.973741i | \(0.426893\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −15.0781 | − | 26.1161i | −0.793586 | − | 1.37453i | −0.923733 | − | 0.383037i | \(-0.874878\pi\) |
0.130147 | − | 0.991495i | \(-0.458455\pi\) | |||||||
\(20\) | 1.58929 | − | 4.36655i | 0.0794646 | − | 0.218327i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.69857 | − | 1.42527i | −0.0772076 | − | 0.0647848i | ||||
\(23\) | 7.69793 | + | 21.1499i | 0.334693 | + | 0.919560i | 0.986873 | + | 0.161497i | \(0.0516321\pi\) |
−0.652181 | + | 0.758064i | \(0.726146\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.40383 | + | 19.3041i | 0.136153 | + | 0.772162i | ||||
\(26\) | − | 10.8649i | − | 0.417882i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 12.5797 | 0.449276 | ||||||||
\(29\) | −49.0949 | + | 8.65675i | −1.69293 | + | 0.298509i | −0.935215 | − | 0.354081i | \(-0.884794\pi\) |
−0.757711 | + | 0.652590i | \(0.773682\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −27.8049 | + | 10.1202i | −0.896933 | + | 0.326457i | −0.749023 | − | 0.662544i | \(-0.769477\pi\) |
−0.147910 | + | 0.989001i | \(0.547255\pi\) | |||||||
\(32\) | 3.63616 | − | 4.33340i | 0.113630 | − | 0.135419i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 30.9068 | + | 11.2492i | 0.909023 | + | 0.330857i | ||||
\(35\) | 12.6559 | − | 7.30691i | 0.361598 | − | 0.208769i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 14.5999 | − | 25.2877i | 0.394591 | − | 0.683452i | −0.598458 | − | 0.801154i | \(-0.704220\pi\) |
0.993049 | + | 0.117702i | \(0.0375529\pi\) | |||||||
\(38\) | −27.4132 | − | 32.6698i | −0.721401 | − | 0.859732i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.14114 | − | 6.47170i | 0.0285284 | − | 0.161793i | ||||
\(41\) | −17.1669 | − | 3.02698i | −0.418704 | − | 0.0738288i | −0.0396727 | − | 0.999213i | \(-0.512632\pi\) |
−0.379031 | + | 0.925384i | \(0.623743\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −64.1027 | + | 53.7886i | −1.49076 | + | 1.25090i | −0.597089 | + | 0.802175i | \(0.703676\pi\) |
−0.893671 | + | 0.448722i | \(0.851879\pi\) | |||||||
\(44\) | −2.71565 | − | 1.56788i | −0.0617194 | − | 0.0356337i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 15.9150 | + | 27.5656i | 0.345979 | + | 0.599253i | ||||
\(47\) | −11.3382 | + | 31.1513i | −0.241237 | + | 0.662794i | 0.758698 | + | 0.651442i | \(0.225836\pi\) |
−0.999936 | + | 0.0113518i | \(0.996387\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −7.22958 | − | 6.06634i | −0.147543 | − | 0.123803i | ||||
\(50\) | 9.48121 | + | 26.0494i | 0.189624 | + | 0.520988i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.66816 | − | 15.1319i | −0.0513108 | − | 0.290998i | ||||
\(53\) | − | 86.0360i | − | 1.62332i | −0.584130 | − | 0.811660i | \(-0.698564\pi\) | ||
0.584130 | − | 0.811660i | \(-0.301436\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.64280 | −0.0662328 | ||||||||
\(56\) | 17.5202 | − | 3.08928i | 0.312860 | − | 0.0551657i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −66.2499 | + | 24.1130i | −1.14224 | + | 0.415741i | ||||
\(59\) | −29.2986 | + | 34.9167i | −0.496586 | + | 0.591809i | −0.954880 | − | 0.296992i | \(-0.904016\pi\) |
0.458294 | + | 0.888801i | \(0.348461\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 79.4407 | + | 28.9140i | 1.30231 | + | 0.474001i | 0.897747 | − | 0.440511i | \(-0.145203\pi\) |
0.404559 | + | 0.914512i | \(0.367425\pi\) | |||||||
\(62\) | −36.2395 | + | 20.9229i | −0.584507 | + | 0.337465i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.00000 | − | 6.92820i | 0.0625000 | − | 0.108253i | ||||
\(65\) | −11.4736 | − | 13.6738i | −0.176518 | − | 0.210366i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.80100 | + | 49.9130i | −0.131358 | + | 0.744969i | 0.845969 | + | 0.533233i | \(0.179023\pi\) |
−0.977327 | + | 0.211737i | \(0.932088\pi\) | |||||||
\(68\) | 45.8073 | + | 8.07706i | 0.673636 | + | 0.118780i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 15.8319 | − | 13.2845i | 0.226170 | − | 0.189779i | ||||
\(71\) | 32.5457 | + | 18.7903i | 0.458391 | + | 0.264652i | 0.711367 | − | 0.702820i | \(-0.248076\pi\) |
−0.252977 | + | 0.967472i | \(0.581410\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.93896 | − | 6.82248i | −0.0539584 | − | 0.0934587i | 0.837785 | − | 0.546001i | \(-0.183850\pi\) |
−0.891743 | + | 0.452542i | \(0.850517\pi\) | |||||||
\(74\) | 14.1236 | − | 38.8043i | 0.190860 | − | 0.524383i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −46.2021 | − | 38.7682i | −0.607922 | − | 0.510107i | ||||
\(77\) | −3.37293 | − | 9.26704i | −0.0438042 | − | 0.120351i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −12.5403 | − | 71.1198i | −0.158738 | − | 0.900250i | −0.955288 | − | 0.295677i | \(-0.904455\pi\) |
0.796550 | − | 0.604573i | \(-0.206656\pi\) | |||||||
\(80\) | − | 9.29356i | − | 0.116170i | ||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −24.6521 | −0.300636 | ||||||||
\(83\) | 25.4050 | − | 4.47959i | 0.306084 | − | 0.0539709i | −0.0184964 | − | 0.999829i | \(-0.505888\pi\) |
0.324581 | + | 0.945858i | \(0.394777\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 50.7763 | − | 18.4811i | 0.597368 | − | 0.217424i | ||||
\(86\) | −76.0685 | + | 90.6549i | −0.884518 | + | 1.05413i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.16720 | − | 1.51674i | −0.0473545 | − | 0.0172356i | ||||
\(89\) | 23.4923 | − | 13.5633i | 0.263958 | − | 0.152396i | −0.362181 | − | 0.932108i | \(-0.617968\pi\) |
0.626139 | + | 0.779712i | \(0.284634\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 24.1615 | − | 41.8489i | 0.265511 | − | 0.459878i | ||||
\(92\) | 28.9347 | + | 34.4831i | 0.314508 | + | 0.374816i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −8.14096 | + | 46.1697i | −0.0866060 | + | 0.491167i | ||||
\(95\) | −69.0004 | − | 12.1666i | −0.726320 | − | 0.128070i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −27.0251 | + | 22.6768i | −0.278610 | + | 0.233781i | −0.771375 | − | 0.636381i | \(-0.780431\pi\) |
0.492765 | + | 0.870162i | \(0.335986\pi\) | |||||||
\(98\) | −11.5586 | − | 6.67336i | −0.117945 | − | 0.0680955i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 19.6019 | + | 33.9514i | 0.196019 | + | 0.339514i | ||||
\(101\) | 1.81805 | − | 4.99504i | 0.0180005 | − | 0.0494559i | −0.930367 | − | 0.366630i | \(-0.880512\pi\) |
0.948367 | + | 0.317174i | \(0.102734\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 51.6309 | + | 43.3235i | 0.501271 | + | 0.420616i | 0.858045 | − | 0.513574i | \(-0.171679\pi\) |
−0.356774 | + | 0.934191i | \(0.616123\pi\) | |||||||
\(104\) | −7.43205 | − | 20.4194i | −0.0714620 | − | 0.196340i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −21.1283 | − | 119.825i | −0.199324 | − | 1.13042i | ||||
\(107\) | 0.744883i | 0.00696152i | 0.999994 | + | 0.00348076i | \(0.00110796\pi\) | ||||
−0.999994 | + | 0.00348076i | \(0.998892\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 56.8674 | 0.521719 | 0.260859 | − | 0.965377i | \(-0.415994\pi\) | ||||
0.260859 | + | 0.965377i | \(0.415994\pi\) | |||||||
\(110\) | −5.07344 | + | 0.894584i | −0.0461221 | + | 0.00813258i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 23.6422 | − | 8.60505i | 0.211091 | − | 0.0768308i | ||||
\(113\) | 137.389 | − | 163.733i | 1.21583 | − | 1.44897i | 0.359022 | − | 0.933329i | \(-0.383110\pi\) |
0.856806 | − | 0.515638i | \(-0.172445\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 49.1394 | + | 17.8853i | 0.427300 | + | 0.155524i | ||||
\(116\) | −86.3466 | + | 49.8522i | −0.744367 | + | 0.429761i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −32.2303 | + | 55.8245i | −0.273138 | + | 0.473089i | ||||
\(119\) | 94.0291 | + | 112.059i | 0.790160 | + | 0.941676i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 20.5846 | − | 116.741i | 0.170120 | − | 0.964800i | ||||
\(122\) | 117.740 | + | 20.7607i | 0.965081 | + | 0.170170i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −45.3336 | + | 38.0394i | −0.365593 | + | 0.306769i | ||||
\(125\) | 89.7441 | + | 51.8138i | 0.717953 | + | 0.414510i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −24.6922 | − | 42.7682i | −0.194427 | − | 0.336758i | 0.752285 | − | 0.658837i | \(-0.228951\pi\) |
−0.946713 | + | 0.322080i | \(0.895618\pi\) | |||||||
\(128\) | 3.86952 | − | 10.6314i | 0.0302306 | − | 0.0830579i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −19.3376 | − | 16.2262i | −0.148751 | − | 0.124817i | ||||
\(131\) | −16.8555 | − | 46.3101i | −0.128668 | − | 0.353513i | 0.858585 | − | 0.512671i | \(-0.171344\pi\) |
−0.987253 | + | 0.159159i | \(0.949122\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −32.9374 | − | 186.797i | −0.247650 | − | 1.40449i | ||||
\(134\) | 71.6765i | 0.534899i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 65.7806 | 0.483681 | ||||||||
\(137\) | 133.137 | − | 23.4756i | 0.971801 | − | 0.171355i | 0.334860 | − | 0.942268i | \(-0.391311\pi\) |
0.636940 | + | 0.770913i | \(0.280200\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 204.776 | − | 74.5324i | 1.47321 | − | 0.536204i | 0.524239 | − | 0.851571i | \(-0.324350\pi\) |
0.948970 | + | 0.315367i | \(0.102128\pi\) | |||||||
\(140\) | 18.7872 | − | 22.3897i | 0.134194 | − | 0.159926i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 49.9418 | + | 18.1773i | 0.351703 | + | 0.128009i | ||||
\(143\) | −10.4317 | + | 6.02276i | −0.0729491 | + | 0.0421172i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −57.9131 | + | 100.308i | −0.399401 | + | 0.691782i | ||||
\(146\) | −7.16134 | − | 8.53455i | −0.0490503 | − | 0.0584558i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 10.1410 | − | 57.5123i | 0.0685201 | − | 0.388597i | ||||
\(149\) | −69.7907 | − | 12.3060i | −0.468394 | − | 0.0825905i | −0.0655305 | − | 0.997851i | \(-0.520874\pi\) |
−0.402864 | + | 0.915260i | \(0.631985\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −202.069 | + | 169.556i | −1.33821 | + | 1.12289i | −0.356123 | + | 0.934439i | \(0.615902\pi\) |
−0.982083 | + | 0.188449i | \(0.939654\pi\) | |||||||
\(152\) | −73.8675 | − | 42.6474i | −0.485970 | − | 0.280575i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.97333 | − | 12.0782i | −0.0452814 | − | 0.0784296i | ||||
\(155\) | −23.5131 | + | 64.6017i | −0.151697 | + | 0.416785i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 74.3308 | + | 62.3709i | 0.473444 | + | 0.397267i | 0.848049 | − | 0.529918i | \(-0.177777\pi\) |
−0.374605 | + | 0.927185i | \(0.622222\pi\) | |||||||
\(158\) | −34.9306 | − | 95.9709i | −0.221079 | − | 0.607411i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.28227 | − | 12.9434i | −0.0142642 | − | 0.0808963i | ||||
\(161\) | 141.568i | 0.879302i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −166.799 | −1.02331 | −0.511654 | − | 0.859191i | \(-0.670967\pi\) | ||||
−0.511654 | + | 0.859191i | \(0.670967\pi\) | |||||||
\(164\) | −34.3337 | + | 6.05396i | −0.209352 | + | 0.0369144i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 34.2822 | − | 12.4777i | 0.206519 | − | 0.0751668i | ||||
\(167\) | 13.4784 | − | 16.0630i | 0.0807092 | − | 0.0961855i | −0.724179 | − | 0.689612i | \(-0.757781\pi\) |
0.804888 | + | 0.593427i | \(0.202225\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 103.344 | + | 37.6142i | 0.611505 | + | 0.222569i | ||||
\(170\) | 66.1791 | − | 38.2085i | 0.389289 | − | 0.224756i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −83.6801 | + | 144.938i | −0.486512 | + | 0.842664i | ||||
\(173\) | −115.925 | − | 138.154i | −0.670088 | − | 0.798580i | 0.318708 | − | 0.947853i | \(-0.396751\pi\) |
−0.988796 | + | 0.149273i | \(0.952307\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −21.4096 | + | 121.420i | −0.122341 | + | 0.693829i | ||||
\(176\) | −6.17625 | − | 1.08904i | −0.0350923 | − | 0.00618773i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 29.3876 | − | 24.6591i | 0.165099 | − | 0.138534i | ||||
\(179\) | −200.580 | − | 115.805i | −1.12056 | − | 0.646955i | −0.179016 | − | 0.983846i | \(-0.557291\pi\) |
−0.941544 | + | 0.336891i | \(0.890625\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 48.1236 | + | 83.3525i | 0.265876 | + | 0.460511i | 0.967793 | − | 0.251748i | \(-0.0810054\pi\) |
−0.701917 | + | 0.712259i | \(0.747672\pi\) | |||||||
\(182\) | 23.3733 | − | 64.2176i | 0.128425 | − | 0.352844i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 48.7665 | + | 40.9199i | 0.265035 | + | 0.222391i | ||||
\(185\) | −23.2035 | − | 63.7510i | −0.125424 | − | 0.344600i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.33194 | − | 35.9102i | −0.0338606 | − | 0.192033i | ||||
\(188\) | 66.3011i | 0.352665i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −99.0866 | −0.521509 | ||||||||
\(191\) | −95.7785 | + | 16.8883i | −0.501458 | + | 0.0884206i | −0.418655 | − | 0.908145i | \(-0.637498\pi\) |
−0.0828031 | + | 0.996566i | \(0.526387\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −46.9759 | + | 17.0978i | −0.243398 | + | 0.0885897i | −0.460839 | − | 0.887484i | \(-0.652451\pi\) |
0.217441 | + | 0.976074i | \(0.430229\pi\) | |||||||
\(194\) | −32.0698 | + | 38.2193i | −0.165308 | + | 0.197007i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −17.7368 | − | 6.45567i | −0.0904939 | − | 0.0329371i | ||||
\(197\) | −229.122 | + | 132.284i | −1.16306 | + | 0.671491i | −0.952035 | − | 0.305991i | \(-0.901012\pi\) |
−0.211022 | + | 0.977481i | \(0.567679\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −66.9711 | + | 115.997i | −0.336538 | + | 0.582901i | −0.983779 | − | 0.179384i | \(-0.942589\pi\) |
0.647241 | + | 0.762285i | \(0.275923\pi\) | |||||||
\(200\) | 35.6377 | + | 42.4714i | 0.178189 | + | 0.212357i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.30539 | − | 7.40321i | 0.00646230 | − | 0.0366495i | ||||
\(203\) | −308.800 | − | 54.4498i | −1.52118 | − | 0.268226i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −31.0253 | + | 26.0333i | −0.151343 | + | 0.126992i | ||||
\(206\) | 82.5471 | + | 47.6586i | 0.400714 | + | 0.231352i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −15.3653 | − | 26.6135i | −0.0738718 | − | 0.127950i | ||||
\(209\) | −16.1712 | + | 44.4301i | −0.0773743 | + | 0.212584i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −51.7595 | − | 43.4314i | −0.245306 | − | 0.205836i | 0.511842 | − | 0.859080i | \(-0.328963\pi\) |
−0.757148 | + | 0.653244i | \(0.773408\pi\) | |||||||
\(212\) | −58.8521 | − | 161.695i | −0.277604 | − | 0.762711i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.182925 | + | 1.03742i | 0.000854790 | + | 0.00484776i | ||||
\(215\) | 194.422i | 0.904287i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −186.113 | −0.857665 | ||||||||
\(218\) | 79.2008 | − | 13.9652i | 0.363306 | − | 0.0640607i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −6.84623 | + | 2.49182i | −0.0311192 | + | 0.0113265i | ||||
\(221\) | 114.850 | − | 136.873i | 0.519685 | − | 0.619336i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −212.711 | − | 77.4206i | −0.953863 | − | 0.347178i | −0.182237 | − | 0.983255i | \(-0.558334\pi\) |
−0.771626 | + | 0.636077i | \(0.780556\pi\) | |||||||
\(224\) | 30.8139 | − | 17.7904i | 0.137562 | − | 0.0794216i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 151.136 | − | 261.775i | 0.668744 | − | 1.15830i | ||||
\(227\) | 166.065 | + | 197.909i | 0.731565 | + | 0.871845i | 0.995700 | − | 0.0926409i | \(-0.0295309\pi\) |
−0.264135 | + | 0.964486i | \(0.585086\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.32712 | − | 52.8967i | 0.0407298 | − | 0.230990i | −0.957647 | − | 0.287945i | \(-0.907028\pi\) |
0.998377 | + | 0.0569548i | \(0.0181391\pi\) | |||||||
\(230\) | 72.8301 | + | 12.8419i | 0.316653 | + | 0.0558344i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −108.015 | + | 90.6352i | −0.465581 | + | 0.390669i | ||||
\(233\) | −93.1740 | − | 53.7940i | −0.399888 | − | 0.230876i | 0.286547 | − | 0.958066i | \(-0.407492\pi\) |
−0.686436 | + | 0.727190i | \(0.740826\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 38.5108 | + | 66.7027i | 0.163876 | + | 0.283841i | ||||
\(236\) | −31.1789 | + | 85.6634i | −0.132114 | + | 0.362980i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 158.476 | + | 132.977i | 0.665866 | + | 0.558728i | ||||
\(239\) | 152.119 | + | 417.943i | 0.636480 | + | 1.74872i | 0.662509 | + | 0.749054i | \(0.269492\pi\) |
−0.0260287 | + | 0.999661i | \(0.508286\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −35.4521 | − | 201.059i | −0.147104 | − | 0.834269i | −0.965654 | − | 0.259833i | \(-0.916333\pi\) |
0.818549 | − | 0.574436i | \(-0.194779\pi\) | |||||||
\(242\) | − | 167.643i | − | 0.692741i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 169.078 | 0.692943 | ||||||||
\(245\) | −21.5940 | + | 3.80760i | −0.0881388 | + | 0.0155412i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −217.709 | + | 79.2394i | −0.881411 | + | 0.320807i | ||||
\(248\) | −53.7958 | + | 64.1114i | −0.216919 | + | 0.258514i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 137.713 | + | 50.1236i | 0.550853 | + | 0.200494i | ||||
\(251\) | 298.670 | − | 172.437i | 1.18992 | − | 0.687000i | 0.231631 | − | 0.972804i | \(-0.425594\pi\) |
0.958288 | + | 0.285803i | \(0.0922604\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 17.6444 | − | 30.5609i | 0.0697405 | − | 0.120794i | ||||
\(254\) | −44.8924 | − | 53.5007i | −0.176742 | − | 0.210633i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.77837 | − | 15.7569i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 179.971 | + | 31.7338i | 0.700278 | + | 0.123478i | 0.512441 | − | 0.858722i | \(-0.328741\pi\) |
0.187837 | + | 0.982200i | \(0.439852\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 140.694 | − | 118.056i | 0.543219 | − | 0.455815i | ||||
\(260\) | −30.9168 | − | 17.8498i | −0.118911 | − | 0.0686532i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −34.8478 | − | 60.3582i | −0.133007 | − | 0.230375i | ||||
\(263\) | 88.5587 | − | 243.313i | 0.336725 | − | 0.925144i | −0.649592 | − | 0.760283i | \(-0.725060\pi\) |
0.986317 | − | 0.164861i | \(-0.0527176\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −153.129 | − | 128.490i | −0.577844 | − | 0.484869i | ||||
\(266\) | −91.7458 | − | 252.069i | −0.344909 | − | 0.947629i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 17.6020 | + | 99.8259i | 0.0656791 | + | 0.372485i | ||||
\(269\) | 152.516i | 0.566974i | 0.958976 | + | 0.283487i | \(0.0914913\pi\) | ||||
−0.958976 | + | 0.283487i | \(0.908509\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 352.593 | 1.30108 | 0.650541 | − | 0.759471i | \(-0.274542\pi\) | ||||
0.650541 | + | 0.759471i | \(0.274542\pi\) | |||||||
\(272\) | 91.6146 | − | 16.1541i | 0.336818 | − | 0.0593901i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 179.658 | − | 65.3903i | 0.655687 | − | 0.238651i | ||||
\(275\) | 19.7551 | − | 23.5432i | 0.0718366 | − | 0.0856115i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 318.950 | + | 116.088i | 1.15145 | + | 0.419092i | 0.846034 | − | 0.533129i | \(-0.178984\pi\) |
0.305411 | + | 0.952221i | \(0.401206\pi\) | |||||||
\(278\) | 266.894 | − | 154.091i | 0.960051 | − | 0.554286i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 20.6671 | − | 35.7964i | 0.0738109 | − | 0.127844i | ||||
\(281\) | −184.637 | − | 220.042i | −0.657072 | − | 0.783067i | 0.329891 | − | 0.944019i | \(-0.392988\pi\) |
−0.986962 | + | 0.160952i | \(0.948544\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 21.4854 | − | 121.850i | 0.0759202 | − | 0.430565i | −0.923029 | − | 0.384731i | \(-0.874294\pi\) |
0.998949 | − | 0.0458341i | \(-0.0145946\pi\) | |||||||
\(284\) | 74.0193 | + | 13.0516i | 0.260631 | + | 0.0459563i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −13.0495 | + | 10.9498i | −0.0456277 | + | 0.0382862i | ||||
\(287\) | −94.9536 | − | 54.8215i | −0.330849 | − | 0.191016i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 125.943 | + | 218.140i | 0.435790 | + | 0.754810i | ||||
\(290\) | −56.0239 | + | 153.924i | −0.193186 | + | 0.530774i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −12.0697 | − | 10.1277i | −0.0413345 | − | 0.0346838i | ||||
\(293\) | 172.243 | + | 473.234i | 0.587861 | + | 1.61513i | 0.774407 | + | 0.632688i | \(0.218048\pi\) |
−0.186547 | + | 0.982446i | \(0.559730\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 18.3896 | + | 104.292i | 0.0623376 | + | 0.353534i | ||||
\(296\) | − | 82.5894i | − | 0.279018i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −100.222 | −0.336314 | ||||||||
\(299\) | 170.289 | − | 30.0265i | 0.569527 | − | 0.100423i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −494.595 | + | 180.018i | −1.64317 | + | 0.598066i | ||||
\(302\) | −239.789 | + | 285.769i | −0.794002 | + | 0.946255i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −113.351 | − | 41.2562i | −0.372864 | − | 0.135711i | ||||
\(305\) | 170.102 | − | 98.2086i | 0.557712 | − | 0.321995i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 303.015 | − | 524.837i | 0.987018 | − | 1.70957i | 0.354417 | − | 0.935087i | \(-0.384679\pi\) |
0.632601 | − | 0.774478i | \(-0.281987\pi\) | |||||||
\(308\) | −12.6781 | − | 15.1091i | −0.0411625 | − | 0.0490556i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −16.8828 | + | 95.7469i | −0.0544605 | + | 0.308861i | ||||
\(311\) | 112.127 | + | 19.7711i | 0.360538 | + | 0.0635725i | 0.350983 | − | 0.936382i | \(-0.385847\pi\) |
0.00955468 | + | 0.999954i | \(0.496959\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 391.591 | − | 328.584i | 1.25109 | − | 1.04979i | 0.254516 | − | 0.967069i | \(-0.418084\pi\) |
0.996573 | − | 0.0827197i | \(-0.0263606\pi\) | |||||||
\(314\) | 118.839 | + | 68.6119i | 0.378469 | + | 0.218509i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −72.2169 | − | 125.083i | −0.228534 | − | 0.395833i | ||||
\(317\) | 13.2129 | − | 36.3021i | 0.0416810 | − | 0.114518i | −0.917106 | − | 0.398643i | \(-0.869481\pi\) |
0.958787 | + | 0.284126i | \(0.0917033\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 59.8759 | + | 50.2418i | 0.187699 | + | 0.157498i | ||||
\(320\) | −6.35717 | − | 17.4662i | −0.0198662 | − | 0.0545818i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 34.7655 | + | 197.165i | 0.107968 | + | 0.612314i | ||||
\(323\) | − | 701.344i | − | 2.17134i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 150.594 | 0.463368 | ||||||||
\(326\) | −232.306 | + | 40.9618i | −0.712595 | + | 0.125650i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −46.3308 | + | 16.8630i | −0.141253 | + | 0.0514117i | ||||
\(329\) | −134.029 | + | 159.730i | −0.407384 | + | 0.485501i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −99.6998 | − | 36.2878i | −0.301208 | − | 0.109631i | 0.186995 | − | 0.982361i | \(-0.440125\pi\) |
−0.488203 | + | 0.872730i | \(0.662347\pi\) | |||||||
\(332\) | 44.6815 | − | 25.7969i | 0.134583 | − | 0.0777015i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 14.8271 | − | 25.6814i | 0.0443926 | − | 0.0768903i | ||||
\(335\) | 75.6923 | + | 90.2065i | 0.225947 | + | 0.269273i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.873000 | + | 4.95103i | −0.00259051 | + | 0.0146915i | −0.986076 | − | 0.166298i | \(-0.946819\pi\) |
0.983485 | + | 0.180989i | \(0.0579299\pi\) | |||||||
\(338\) | 153.168 | + | 27.0076i | 0.453159 | + | 0.0799041i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 82.7864 | − | 69.4661i | 0.243490 | − | 0.204312i | ||||
\(341\) | 40.1772 | + | 23.1963i | 0.117822 | + | 0.0680245i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −183.782 | − | 318.320i | −0.535808 | − | 0.928047i | ||||
\(344\) | −80.9504 | + | 222.409i | −0.235321 | + | 0.646539i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −195.380 | − | 163.943i | −0.564681 | − | 0.473824i | ||||
\(347\) | 77.4742 | + | 212.859i | 0.223268 | + | 0.613425i | 0.999863 | − | 0.0165761i | \(-0.00527659\pi\) |
−0.776594 | + | 0.630001i | \(0.783054\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 85.4880 | + | 484.827i | 0.244951 | + | 1.38919i | 0.820606 | + | 0.571495i | \(0.193636\pi\) |
−0.575655 | + | 0.817693i | \(0.695253\pi\) | |||||||
\(350\) | 174.363i | 0.498179i | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −8.86928 | −0.0251968 | ||||||||
\(353\) | −440.404 | + | 77.6551i | −1.24760 | + | 0.219986i | −0.758171 | − | 0.652056i | \(-0.773907\pi\) |
−0.489432 | + | 0.872042i | \(0.662796\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 82.0487 | − | 29.8633i | 0.231123 | − | 0.0841219i | ||||
\(356\) | 34.8732 | − | 41.5603i | 0.0979585 | − | 0.116742i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −307.793 | − | 112.027i | −0.859756 | − | 0.312926i | ||||
\(359\) | −62.2367 | + | 35.9324i | −0.173361 | + | 0.100090i | −0.584170 | − | 0.811631i | \(-0.698580\pi\) |
0.410809 | + | 0.911722i | \(0.365246\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −274.201 | + | 474.930i | −0.759559 | + | 1.31559i | ||||
\(362\) | 87.4925 | + | 104.269i | 0.241692 | + | 0.288037i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 16.7824 | − | 95.1776i | 0.0461054 | − | 0.261477i | ||||
\(365\) | −18.0254 | − | 3.17837i | −0.0493847 | − | 0.00870786i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −106.401 | + | 89.2809i | −0.289920 | + | 0.243272i | −0.776134 | − | 0.630568i | \(-0.782822\pi\) |
0.486214 | + | 0.873840i | \(0.338378\pi\) | |||||||
\(368\) | 77.9674 | + | 45.0145i | 0.211868 | + | 0.122322i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −47.9718 | − | 83.0897i | −0.129654 | − | 0.224567i | ||||
\(371\) | 185.086 | − | 508.519i | 0.498884 | − | 1.37067i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −498.940 | − | 418.661i | −1.33764 | − | 1.12241i | −0.982225 | − | 0.187706i | \(-0.939895\pi\) |
−0.355416 | − | 0.934708i | \(-0.615661\pi\) | |||||||
\(374\) | −17.6373 | − | 48.4582i | −0.0471587 | − | 0.129567i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 16.2819 | + | 92.3394i | 0.0433030 | + | 0.245584i | ||||
\(377\) | 382.998i | 1.01591i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 379.153 | 1.00040 | 0.500202 | − | 0.865909i | \(-0.333259\pi\) | ||||
0.500202 | + | 0.865909i | \(0.333259\pi\) | |||||||
\(380\) | −138.001 | + | 24.3333i | −0.363160 | + | 0.0640349i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −129.246 | + | 47.0417i | −0.338341 | + | 0.123146i | ||||
\(383\) | −103.347 | + | 123.164i | −0.269835 | + | 0.321577i | −0.883898 | − | 0.467680i | \(-0.845090\pi\) |
0.614062 | + | 0.789258i | \(0.289534\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −21.5309 | − | 7.83662i | −0.0559245 | − | 0.0203549i | ||||
\(386\) | −61.2258 | + | 35.3487i | −0.158616 | + | 0.0915771i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −35.2788 | + | 61.1047i | −0.0909248 | + | 0.157486i | ||||
\(389\) | −255.119 | − | 304.040i | −0.655834 | − | 0.781593i | 0.330947 | − | 0.943649i | \(-0.392632\pi\) |
−0.986781 | + | 0.162057i | \(0.948187\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −90.8961 | + | 515.498i | −0.232471 | + | 1.31841i | ||||
\(392\) | −26.2879 | − | 4.63527i | −0.0670610 | − | 0.0118247i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −286.619 | + | 240.502i | −0.727460 | + | 0.610411i | ||||
\(395\) | −145.309 | − | 83.8940i | −0.367870 | − | 0.212390i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −19.8819 | − | 34.4365i | −0.0500804 | − | 0.0867418i | 0.839898 | − | 0.542744i | \(-0.182614\pi\) |
−0.889979 | + | 0.456002i | \(0.849281\pi\) | |||||||
\(398\) | −64.7864 | + | 177.999i | −0.162780 | + | 0.447234i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 60.0636 | + | 50.3993i | 0.150159 | + | 0.125998i | ||||
\(401\) | −151.169 | − | 415.334i | −0.376981 | − | 1.03575i | −0.972601 | − | 0.232480i | \(-0.925316\pi\) |
0.595620 | − | 0.803266i | \(-0.296906\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 39.4746 | + | 223.872i | 0.0979519 | + | 0.555513i | ||||
\(404\) | − | 10.6312i | − | 0.0263149i | ||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −443.446 | −1.09223 | ||||||||
\(407\) | −45.0863 | + | 7.94992i | −0.110777 | + | 0.0195330i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 130.597 | − | 47.5333i | 0.319307 | − | 0.116218i | −0.177394 | − | 0.984140i | \(-0.556767\pi\) |
0.496701 | + | 0.867922i | \(0.334544\pi\) | |||||||
\(410\) | −36.8166 | + | 43.8764i | −0.0897967 | + | 0.107015i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 126.669 | + | 46.1039i | 0.307450 | + | 0.111903i | ||||
\(413\) | −248.286 | + | 143.348i | −0.601176 | + | 0.347089i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 29.9681 | − | 51.9063i | 0.0722124 | − | 0.125076i | ||||
\(416\) | −27.9354 | − | 33.2921i | −0.0671523 | − | 0.0800290i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −11.6112 | + | 65.8503i | −0.0277780 | + | 0.157537i | ||||
\(419\) | −67.2764 | − | 11.8626i | −0.160564 | − | 0.0283118i | 0.0927881 | − | 0.995686i | \(-0.470422\pi\) |
−0.253352 | + | 0.967374i | \(0.581533\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 266.680 | − | 223.771i | 0.633444 | − | 0.531522i | −0.268553 | − | 0.963265i | \(-0.586546\pi\) |
0.901997 | + | 0.431742i | \(0.142101\pi\) | |||||||
\(422\) | −82.7527 | − | 47.7773i | −0.196096 | − | 0.113216i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −121.673 | − | 210.744i | −0.286965 | − | 0.497038i | ||||
\(425\) | −155.920 | + | 428.387i | −0.366871 | + | 1.00797i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 407.336 | + | 341.795i | 0.953948 | + | 0.800458i | ||||
\(428\) | 0.509530 | + | 1.39992i | 0.00119049 | + | 0.00327085i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 47.7452 | + | 270.777i | 0.111035 | + | 0.629713i | ||||
\(431\) | − | 350.668i | − | 0.813615i | −0.913514 | − | 0.406807i | \(-0.866642\pi\) | ||
0.913514 | − | 0.406807i | \(-0.133358\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −177.240 | −0.409330 | −0.204665 | − | 0.978832i | \(-0.565610\pi\) | ||||
−0.204665 | + | 0.978832i | \(0.565610\pi\) | |||||||
\(434\) | −259.205 | + | 45.7049i | −0.597247 | + | 0.105311i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 106.876 | − | 38.8996i | 0.245128 | − | 0.0892192i | ||||
\(437\) | 436.282 | − | 519.941i | 0.998357 | − | 1.18980i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.67961 | + | 0.975298i | 0.00610389 | + | 0.00222163i | 0.345070 | − | 0.938577i | \(-0.387855\pi\) |
−0.338966 | + | 0.940798i | \(0.610077\pi\) | |||||||
\(440\) | −8.92301 | + | 5.15170i | −0.0202796 | + | 0.0117084i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 126.343 | − | 218.832i | 0.285843 | − | 0.495095i | ||||
\(443\) | −343.331 | − | 409.166i | −0.775014 | − | 0.923626i | 0.223683 | − | 0.974662i | \(-0.428192\pi\) |
−0.998697 | + | 0.0510363i | \(0.983748\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 10.9443 | − | 62.0681i | 0.0245939 | − | 0.139479i | ||||
\(446\) | −315.262 | − | 55.5892i | −0.706865 | − | 0.124639i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 38.5466 | − | 32.3444i | 0.0860414 | − | 0.0721973i | ||||
\(449\) | 573.148 | + | 330.907i | 1.27650 | + | 0.736987i | 0.976203 | − | 0.216859i | \(-0.0695813\pi\) |
0.300296 | + | 0.953846i | \(0.402915\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13.6654 | + | 23.6692i | 0.0303003 | + | 0.0524816i | ||||
\(452\) | 146.206 | − | 401.697i | 0.323464 | − | 0.888711i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 279.885 | + | 234.852i | 0.616487 | + | 0.517294i | ||||
\(455\) | −38.3997 | − | 105.502i | −0.0843948 | − | 0.231873i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 106.695 | + | 605.098i | 0.233468 | + | 1.32407i | 0.845815 | + | 0.533476i | \(0.179115\pi\) |
−0.612347 | + | 0.790589i | \(0.709774\pi\) | |||||||
\(458\) | − | 75.9613i | − | 0.165854i | ||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 104.586 | 0.227361 | ||||||||
\(461\) | 397.986 | − | 70.1756i | 0.863310 | − | 0.152225i | 0.275576 | − | 0.961279i | \(-0.411131\pi\) |
0.587734 | + | 0.809054i | \(0.300020\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 390.527 | − | 142.140i | 0.843470 | − | 0.306998i | 0.116095 | − | 0.993238i | \(-0.462962\pi\) |
0.727375 | + | 0.686240i | \(0.240740\pi\) | |||||||
\(464\) | −128.178 | + | 152.756i | −0.276245 | + | 0.329216i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −142.977 | − | 52.0392i | −0.306817 | − | 0.111672i | ||||
\(467\) | −161.324 | + | 93.1404i | −0.345448 | + | 0.199444i | −0.662678 | − | 0.748904i | \(-0.730580\pi\) |
0.317231 | + | 0.948348i | \(0.397247\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −159.395 | + | 276.079i | −0.339860 | + | 0.588655i | ||||
\(470\) | 70.0157 | + | 83.4414i | 0.148970 | + | 0.177535i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −22.3869 | + | 126.963i | −0.0474299 | + | 0.268989i | ||||
\(473\) | 129.207 | + | 22.7828i | 0.273166 | + | 0.0481665i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 452.824 | − | 379.964i | 0.953313 | − | 0.799924i | ||||
\(476\) | 253.370 | + | 146.283i | 0.532290 | + | 0.307318i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 314.497 | + | 544.724i | 0.657943 | + | 1.13959i | ||||
\(479\) | −117.100 | + | 321.729i | −0.244467 | + | 0.671668i | 0.755398 | + | 0.655266i | \(0.227443\pi\) |
−0.999865 | + | 0.0164023i | \(0.994779\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −171.848 | − | 144.198i | −0.357273 | − | 0.299787i | ||||
\(482\) | −98.7503 | − | 271.314i | −0.204876 | − | 0.562892i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −41.1691 | − | 233.482i | −0.0850602 | − | 0.482400i | ||||
\(485\) | 81.9665i | 0.169003i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −483.112 | −0.992016 | −0.496008 | − | 0.868318i | \(-0.665201\pi\) | ||||
−0.496008 | + | 0.868318i | \(0.665201\pi\) | |||||||
\(488\) | 235.480 | − | 41.5214i | 0.482541 | − | 0.0850849i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −29.1395 | + | 10.6059i | −0.0594684 | + | 0.0216447i | ||||
\(491\) | 160.343 | − | 191.089i | 0.326564 | − | 0.389184i | −0.577635 | − | 0.816295i | \(-0.696024\pi\) |
0.904199 | + | 0.427111i | \(0.140469\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1089.49 | − | 396.542i | −2.20992 | − | 0.804345i | ||||
\(494\) | −283.750 | + | 163.823i | −0.574392 | + | 0.331625i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −59.1788 | + | 102.501i | −0.119312 | + | 0.206655i | ||||
\(497\) | 151.940 | + | 181.075i | 0.305715 | + | 0.364336i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 57.5888 | − | 326.602i | 0.115408 | − | 0.654513i | −0.871139 | − | 0.491037i | \(-0.836618\pi\) |
0.986547 | − | 0.163476i | \(-0.0522708\pi\) | |||||||
\(500\) | 204.106 | + | 35.9895i | 0.408213 | + | 0.0719789i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 373.620 | − | 313.504i | 0.744262 | − | 0.624510i | ||||
\(503\) | 212.097 | + | 122.454i | 0.421664 | + | 0.243448i | 0.695789 | − | 0.718246i | \(-0.255055\pi\) |
−0.274125 | + | 0.961694i | \(0.588388\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.17512 | − | 10.6956i | −0.0122280 | − | 0.0211795i | ||||
\(506\) | 17.0688 | − | 46.8961i | 0.0337328 | − | 0.0926800i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −75.6614 | − | 63.4875i | −0.148940 | − | 0.124975i | ||||
\(509\) | 302.898 | + | 832.205i | 0.595084 | + | 1.63498i | 0.760934 | + | 0.648829i | \(0.224741\pi\) |
−0.165850 | + | 0.986151i | \(0.553037\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −8.60446 | − | 48.7983i | −0.0168385 | − | 0.0954957i | ||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 258.444 | 0.502810 | ||||||||
\(515\) | 154.216 | − | 27.1925i | 0.299449 | − | 0.0528009i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 48.8416 | − | 17.7769i | 0.0944712 | − | 0.0343847i | ||||
\(518\) | 166.956 | − | 198.971i | 0.322310 | − | 0.384114i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −47.4422 | − | 17.2675i | −0.0912350 | − | 0.0332068i | ||||
\(521\) | −285.381 | + | 164.765i | −0.547756 | + | 0.316247i | −0.748216 | − | 0.663455i | \(-0.769089\pi\) |
0.200461 | + | 0.979702i | \(0.435756\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 145.262 | − | 251.600i | 0.277747 | − | 0.481071i | −0.693078 | − | 0.720863i | \(-0.743746\pi\) |
0.970824 | + | 0.239791i | \(0.0770791\pi\) | |||||||
\(524\) | −63.3560 | − | 75.5048i | −0.120908 | − | 0.144093i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 63.5865 | − | 360.617i | 0.120887 | − | 0.685583i | ||||
\(527\) | −677.705 | − | 119.498i | −1.28597 | − | 0.226751i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.1780 | − | 14.4140i | 0.0324726 | − | 0.0272477i | ||||
\(530\) | −244.821 | − | 141.347i | −0.461926 | − | 0.266693i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −189.679 | − | 328.534i | −0.356540 | − | 0.617545i | ||||
\(533\) | −45.8039 | + | 125.845i | −0.0859361 | + | 0.236107i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.32576 | + | 1.11244i | 0.00247805 | + | 0.00207933i | ||||
\(536\) | 49.0296 | + | 134.708i | 0.0914732 | + | 0.251320i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 37.4542 | + | 212.413i | 0.0696175 | + | 0.394820i | ||||
\(539\) | 14.7970i | 0.0274526i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −385.680 | −0.712901 | −0.356451 | − | 0.934314i | \(-0.616013\pi\) | ||||
−0.356451 | + | 0.934314i | \(0.616013\pi\) | |||||||
\(542\) | 491.067 | − | 86.5883i | 0.906027 | − | 0.159757i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 123.627 | − | 44.9966i | 0.227256 | − | 0.0827143i | ||||
\(545\) | 84.9284 | − | 101.214i | 0.155832 | − | 0.185713i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −621.520 | − | 226.215i | −1.13623 | − | 0.413556i | −0.295683 | − | 0.955286i | \(-0.595547\pi\) |
−0.840552 | + | 0.541731i | \(0.817769\pi\) | |||||||
\(548\) | 234.157 | − | 135.191i | 0.427294 | − | 0.246698i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 21.7318 | − | 37.6406i | 0.0395124 | − | 0.0684374i | ||||
\(551\) | 966.340 | + | 1151.64i | 1.75379 | + | 2.09009i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 78.8770 | − | 447.334i | 0.142635 | − | 0.808922i | ||||
\(554\) | 472.720 | + | 83.3532i | 0.853285 | + | 0.150457i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 333.870 | − | 280.150i | 0.600485 | − | 0.503867i | ||||
\(557\) | −352.046 | − | 203.254i | −0.632040 | − | 0.364909i | 0.149502 | − | 0.988761i | \(-0.452233\pi\) |
−0.781542 | + | 0.623853i | \(0.785566\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 321.443 | + | 556.756i | 0.575033 | + | 0.995986i | ||||
\(560\) | 19.9929 | − | 54.9300i | 0.0357016 | − | 0.0980893i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −311.186 | − | 261.116i | −0.553712 | − | 0.464620i | ||||
\(563\) | −338.582 | − | 930.245i | −0.601388 | − | 1.65230i | −0.748464 | − | 0.663175i | \(-0.769208\pi\) |
0.147076 | − | 0.989125i | \(-0.453014\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −86.2334 | − | 489.054i | −0.152626 | − | 0.865582i | ||||
\(566\) | − | 174.980i | − | 0.309152i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 106.294 | 0.187137 | ||||||||
\(569\) | 115.486 | − | 20.3632i | 0.202963 | − | 0.0357878i | −0.0712425 | − | 0.997459i | \(-0.522696\pi\) |
0.274205 | + | 0.961671i | \(0.411585\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 399.543 | − | 145.422i | 0.699725 | − | 0.254679i | 0.0324316 | − | 0.999474i | \(-0.489675\pi\) |
0.667294 | + | 0.744795i | \(0.267453\pi\) | |||||||
\(572\) | −15.4854 | + | 18.4548i | −0.0270724 | + | 0.0322636i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −145.707 | − | 53.0332i | −0.253846 | − | 0.0923923i | ||||
\(575\) | −382.076 | + | 220.592i | −0.664480 | + | 0.383638i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.24056 | + | 5.61282i | −0.00561623 | + | 0.00972759i | −0.868820 | − | 0.495128i | \(-0.835121\pi\) |
0.863204 | + | 0.504856i | \(0.168454\pi\) | |||||||
\(578\) | 228.975 | + | 272.881i | 0.396150 | + | 0.472113i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −40.2260 | + | 228.133i | −0.0693552 | + | 0.393333i | ||||
\(581\) | 159.794 | + | 28.1760i | 0.275033 | + | 0.0484957i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −103.335 | + | 86.7084i | −0.177247 | + | 0.148728i | ||||
\(584\) | −19.2969 | − | 11.1411i | −0.0330426 | − | 0.0190772i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 356.103 | + | 616.788i | 0.607684 | + | 1.05254i | ||||
\(587\) | 149.791 | − | 411.548i | 0.255181 | − | 0.701105i | −0.744267 | − | 0.667882i | \(-0.767201\pi\) |
0.999448 | − | 0.0332222i | \(-0.0105769\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 683.546 | + | 573.563i | 1.16052 | + | 0.973792i | ||||
\(590\) | 51.2234 | + | 140.735i | 0.0868193 | + | 0.238534i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −20.2819 | − | 115.025i | −0.0342600 | − | 0.194298i | ||||
\(593\) | 328.720i | 0.554334i | 0.960822 | + | 0.277167i | \(0.0893956\pi\) | ||||
−0.960822 | + | 0.277167i | \(0.910604\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 339.873 | 0.571215 | ||||||||
\(596\) | −139.581 | + | 24.6120i | −0.234197 | + | 0.0412953i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 229.792 | − | 83.6374i | 0.384267 | − | 0.139862i | ||||
\(599\) | −348.296 | + | 415.083i | −0.581463 | + | 0.692960i | −0.973941 | − | 0.226801i | \(-0.927173\pi\) |
0.392479 | + | 0.919761i | \(0.371618\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 148.519 | + | 54.0563i | 0.247119 | + | 0.0899440i | 0.462610 | − | 0.886562i | \(-0.346913\pi\) |
−0.215491 | + | 0.976506i | \(0.569135\pi\) | |||||||
\(602\) | −644.629 | + | 372.177i | −1.07081 | + | 0.618233i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −263.783 | + | 456.885i | −0.436726 | + | 0.756432i | ||||
\(605\) | −177.036 | − | 210.983i | −0.292621 | − | 0.348732i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 16.1881 | − | 91.8071i | 0.0266690 | − | 0.151247i | −0.968565 | − | 0.248759i | \(-0.919977\pi\) |
0.995234 | + | 0.0975118i | \(0.0310884\pi\) | |||||||
\(608\) | −167.998 | − | 29.6226i | −0.276313 | − | 0.0487214i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 212.789 | − | 178.551i | 0.348834 | − | 0.292706i | ||||
\(611\) | 220.563 | + | 127.342i | 0.360987 | + | 0.208416i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −17.1815 | − | 29.7593i | −0.0280286 | − | 0.0485469i | 0.851671 | − | 0.524077i | \(-0.175590\pi\) |
−0.879699 | + | 0.475530i | \(0.842256\pi\) | |||||||
\(614\) | 293.130 | − | 805.368i | 0.477410 | − | 1.31167i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −21.3675 | − | 17.9295i | −0.0346875 | − | 0.0291063i | ||||
\(617\) | −239.022 | − | 656.706i | −0.387393 | − | 1.06435i | −0.968171 | − | 0.250291i | \(-0.919474\pi\) |
0.580777 | − | 0.814062i | \(-0.302749\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −17.1006 | − | 96.9823i | −0.0276262 | − | 0.156676i | 0.967874 | − | 0.251436i | \(-0.0809027\pi\) |
−0.995500 | + | 0.0947600i | \(0.969792\pi\) | |||||||
\(620\) | 137.495i | 0.221767i | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 161.018 | 0.258871 | ||||||||
\(623\) | 168.030 | − | 29.6283i | 0.269711 | − | 0.0475574i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −234.246 | + | 85.2585i | −0.374793 | + | 0.136414i | ||||
\(626\) | 464.688 | − | 553.793i | 0.742312 | − | 0.884653i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 182.360 | + | 66.3737i | 0.290383 | + | 0.105691i | ||||
\(629\) | 588.116 | − | 339.549i | 0.935001 | − | 0.539823i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −167.835 | + | 290.699i | −0.265983 | + | 0.460696i | −0.967821 | − | 0.251641i | \(-0.919030\pi\) |
0.701838 | + | 0.712337i | \(0.252363\pi\) | |||||||
\(632\) | −131.296 | − | 156.472i | −0.207747 | − | 0.247583i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 9.48705 | − | 53.8037i | 0.0149638 | − | 0.0848639i | ||||
\(635\) | −112.996 | − | 19.9243i | −0.177947 | − | 0.0313768i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −55.5425 | + | 46.6057i | −0.0871938 | + | 0.0731643i | ||||
\(638\) | 95.7290 | + | 55.2692i | 0.150045 | + | 0.0866288i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −13.1431 | − | 22.7645i | −0.0205361 | − | 0.0355695i | ||||
\(641\) | −341.193 | + | 937.419i | −0.532282 | + | 1.46243i | 0.324067 | + | 0.946034i | \(0.394950\pi\) |
−0.856349 | + | 0.516398i | \(0.827273\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 478.514 | + | 401.521i | 0.744189 | + | 0.624449i | 0.933959 | − | 0.357380i | \(-0.116330\pi\) |
−0.189770 | + | 0.981829i | \(0.560774\pi\) | |||||||
\(644\) | 96.8379 | + | 266.060i | 0.150369 | + | 0.413137i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −172.233 | − | 976.781i | −0.266614 | − | 1.51205i | ||||
\(647\) | − | 550.714i | − | 0.851181i | −0.904916 | − | 0.425591i | \(-0.860066\pi\) | ||
0.904916 | − | 0.425591i | \(-0.139934\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 71.4649 | 0.110115 | ||||||||
\(650\) | 209.737 | − | 36.9823i | 0.322673 | − | 0.0568959i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −313.480 | + | 114.097i | −0.480798 | + | 0.174996i | ||||
\(653\) | −435.250 | + | 518.711i | −0.666539 | + | 0.794350i | −0.988308 | − | 0.152468i | \(-0.951278\pi\) |
0.321770 | + | 0.946818i | \(0.395722\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −107.597 | − | 39.1619i | −0.164270 | − | 0.0597892i | ||||
\(656\) | −60.3851 | + | 34.8634i | −0.0920505 | + | 0.0531454i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −147.441 | + | 255.375i | −0.224074 | + | 0.388107i | ||||
\(659\) | 307.922 | + | 366.967i | 0.467257 | + | 0.556855i | 0.947283 | − | 0.320399i | \(-0.103817\pi\) |
−0.480026 | + | 0.877254i | \(0.659373\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −166.498 | + | 944.257i | −0.251888 | + | 1.42853i | 0.552048 | + | 0.833812i | \(0.313846\pi\) |
−0.803936 | + | 0.594716i | \(0.797265\pi\) | |||||||
\(662\) | −147.766 | − | 26.0552i | −0.223212 | − | 0.0393583i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 55.8942 | − | 46.9008i | 0.0841780 | − | 0.0706337i | ||||
\(665\) | −381.656 | − | 220.349i | −0.573919 | − | 0.331352i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −561.018 | − | 971.711i | −0.841106 | − | 1.45684i | ||||
\(668\) | 14.3435 | − | 39.4083i | 0.0214722 | − | 0.0589945i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 127.571 | + | 107.045i | 0.190405 | + | 0.159769i | ||||
\(671\) | −45.3338 | − | 124.554i | −0.0675616 | − | 0.185624i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 34.1556 | + | 193.706i | 0.0507513 | + | 0.287825i | 0.999612 | − | 0.0278717i | \(-0.00887300\pi\) |
−0.948860 | + | 0.315696i | \(0.897762\pi\) | |||||||
\(674\) | 7.10983i | 0.0105487i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 219.953 | 0.325375 | ||||||||
\(677\) | 705.776 | − | 124.447i | 1.04250 | − | 0.183822i | 0.373922 | − | 0.927460i | \(-0.378013\pi\) |
0.668582 | + | 0.743638i | \(0.266902\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −208.517 | + | 75.8940i | −0.307094 | + | 0.111773i | ||||
\(680\) | 98.2399 | − | 117.078i | 0.144470 | − | 0.172173i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 61.6524 | + | 22.4397i | 0.0903995 | + | 0.0329027i | ||||
\(683\) | −223.152 | + | 128.837i | −0.326723 | + | 0.188633i | −0.654385 | − | 0.756161i | \(-0.727072\pi\) |
0.327662 | + | 0.944795i | \(0.393739\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 157.050 | − | 272.019i | 0.229270 | − | 0.397108i | ||||
\(686\) | −334.130 | − | 398.201i | −0.487071 | − | 0.580468i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −58.1236 | + | 329.635i | −0.0844820 | + | 0.479121i | ||||
\(689\) | −650.944 | − | 114.779i | −0.944766 | − | 0.166588i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −224.575 | + | 188.440i | −0.324999 | + | 0.272707i | −0.790659 | − | 0.612257i | \(-0.790262\pi\) |
0.465659 | + | 0.884964i | \(0.345817\pi\) | |||||||
\(692\) | −312.371 | − | 180.348i | −0.451403 | − | 0.260618i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 160.173 | + | 277.428i | 0.230797 | + | 0.399753i | ||||
\(695\) | 173.168 | − | 475.775i | 0.249162 | − | 0.684568i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −310.561 | − | 260.591i | −0.445568 | − | 0.373876i | ||||
\(698\) | 238.123 | + | 654.238i | 0.341151 | + | 0.937304i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 42.8192 | + | 242.840i | 0.0611703 | + | 0.346914i | ||||
\(701\) | 414.603i | 0.591445i | 0.955274 | + | 0.295722i | \(0.0955603\pi\) | ||||
−0.955274 | + | 0.295722i | \(0.904440\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −880.556 | −1.25257 | ||||||||
\(704\) | −12.3525 | + | 2.17808i | −0.0175462 | + | 0.00309386i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −594.293 | + | 216.305i | −0.841774 | + | 0.306381i | ||||
\(707\) | 21.4913 | − | 25.6123i | 0.0303979 | − | 0.0362268i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −502.572 | − | 182.921i | −0.708846 | − | 0.257999i | −0.0376632 | − | 0.999290i | \(-0.511991\pi\) |
−0.671183 | + | 0.741291i | \(0.734214\pi\) | |||||||
\(710\) | 106.938 | − | 61.7406i | 0.150617 | − | 0.0869586i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 38.3627 | − | 66.4462i | 0.0538802 | − | 0.0933233i | ||||
\(713\) | −428.081 | − | 510.167i | −0.600394 | − | 0.715521i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.85979 | + | 27.5613i | −0.00679691 | + | 0.0385472i | ||||
\(716\) | −456.183 | − | 80.4373i | −0.637127 | − | 0.112343i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −77.8547 | + | 65.3279i | −0.108433 | + | 0.0909859i | ||||
\(719\) | 829.644 | + | 478.995i | 1.15389 | + | 0.666196i | 0.949831 | − | 0.312763i | \(-0.101255\pi\) |
0.204055 | + | 0.978959i | \(0.434588\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 211.967 | + | 367.137i | 0.293990 | + | 0.509205i | ||||
\(722\) | −265.256 | + | 728.785i | −0.367391 | + | 1.00940i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 147.459 | + | 123.733i | 0.203673 | + | 0.170902i | ||||
\(725\) | −334.221 | − | 918.264i | −0.460994 | − | 1.26657i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 132.512 | + | 751.513i | 0.182272 | + | 1.03372i | 0.929410 | + | 0.369048i | \(0.120316\pi\) |
−0.747138 | + | 0.664669i | \(0.768573\pi\) | |||||||
\(728\) | − | 136.678i | − | 0.187744i | ||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −25.8851 | −0.0354590 | ||||||||
\(731\) | −1916.58 | + | 337.945i | −2.62186 | + | 0.462305i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 386.707 | − | 140.750i | 0.527568 | − | 0.192019i | −0.0644843 | − | 0.997919i | \(-0.520540\pi\) |
0.592052 | + | 0.805900i | \(0.298318\pi\) | |||||||
\(734\) | −126.262 | + | 150.473i | −0.172019 | + | 0.205005i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 119.642 | + | 43.5461i | 0.162557 | + | 0.0591658i | ||||
\(737\) | 68.8186 | − | 39.7324i | 0.0933767 | − | 0.0539111i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −310.367 | + | 537.571i | −0.419982 | + | 0.727431i | −0.995937 | − | 0.0900509i | \(-0.971297\pi\) |
0.575955 | + | 0.817481i | \(0.304630\pi\) | |||||||
\(740\) | −87.2166 | − | 103.941i | −0.117860 | − | 0.140460i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 132.894 | − | 753.682i | 0.179103 | − | 1.01574i | ||||
\(743\) | 892.676 | + | 157.403i | 1.20145 | + | 0.211848i | 0.738325 | − | 0.674446i | \(-0.235617\pi\) |
0.463124 | + | 0.886293i | \(0.346728\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −126.131 | + | 105.837i | −0.169304 | + | 0.142063i | ||||
\(746\) | −797.701 | − | 460.553i | −1.06930 | − | 0.617363i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −36.4642 | − | 63.1578i | −0.0487489 | − | 0.0844356i | ||||
\(749\) | −1.60244 | + | 4.40266i | −0.00213944 | + | 0.00587805i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −262.258 | − | 220.060i | −0.349211 | − | 0.293023i | 0.451262 | − | 0.892391i | \(-0.350974\pi\) |
−0.800473 | + | 0.599369i | \(0.795418\pi\) | |||||||
\(752\) | 45.3526 | + | 124.605i | 0.0603093 | + | 0.165699i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 94.0549 | + | 533.412i | 0.124741 | + | 0.707443i | ||||
\(755\) | 612.870i | 0.811748i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 546.517 | 0.721951 | 0.360975 | − | 0.932575i | \(-0.382444\pi\) | ||||
0.360975 | + | 0.932575i | \(0.382444\pi\) | |||||||
\(758\) | 528.057 | − | 93.1108i | 0.696646 | − | 0.122837i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −186.222 | + | 67.7792i | −0.245029 | + | 0.0891832i | ||||
\(761\) | 48.9259 | − | 58.3077i | 0.0642916 | − | 0.0766198i | −0.732940 | − | 0.680293i | \(-0.761852\pi\) |
0.797232 | + | 0.603673i | \(0.206297\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 336.117 | + | 122.337i | 0.440520 | + | 0.160336i | ||||
\(764\) | −168.452 | + | 97.2561i | −0.220487 | + | 0.127299i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −113.688 | + | 196.914i | −0.148418 | + | 0.257067i | ||||
\(767\) | 225.091 | + | 268.253i | 0.293470 | + | 0.349744i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 150.408 | − | 853.005i | 0.195589 | − | 1.10924i | −0.715989 | − | 0.698111i | \(-0.754024\pi\) |
0.911578 | − | 0.411127i | \(-0.134865\pi\) | |||||||
\(770\) | −31.9112 | − | 5.62681i | −0.0414432 | − | 0.00730755i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −76.5902 | + | 64.2668i | −0.0992100 | + | 0.0832471i | ||||
\(773\) | −390.015 | − | 225.175i | −0.504547 | − | 0.291301i | 0.226042 | − | 0.974118i | \(-0.427421\pi\) |
−0.730589 | + | 0.682817i | \(0.760755\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −290.003 | − | 502.301i | −0.374198 | − | 0.648130i | ||||
\(776\) | −34.1280 | + | 93.7659i | −0.0439794 | + | 0.120832i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −429.977 | − | 360.793i | −0.552670 | − | 0.463745i | ||||
\(779\) | 179.791 | + | 493.973i | 0.230798 | + | 0.634111i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.2317 | − | 58.0268i | −0.0131007 | − | 0.0742980i | ||||
\(782\) | 740.270i | 0.946637i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −37.7502 | −0.0481508 | ||||||||
\(785\) | 222.018 | − | 39.1478i | 0.282826 | − | 0.0498698i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −736.238 | + | 267.969i | −0.935499 | + | 0.340494i | −0.764387 | − | 0.644758i | \(-0.776958\pi\) |
−0.171112 | + | 0.985252i | \(0.554736\pi\) | |||||||
\(788\) | −340.121 | + | 405.341i | −0.431626 | + | 0.514392i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −222.978 | − | 81.1573i | −0.282251 | − | 0.102731i | ||||
\(791\) | 1164.27 | − | 672.194i | 1.47190 | − | 0.849803i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 324.742 | − | 562.470i | 0.409511 | − | 0.709294i | ||||
\(794\) | −36.1469 | − | 43.0782i | −0.0455250 | − | 0.0542546i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −46.5176 | + | 263.815i | −0.0584392 | + | 0.331425i | ||||
\(797\) | 823.055 | + | 145.127i | 1.03269 | + | 0.182091i | 0.664212 | − | 0.747544i | \(-0.268767\pi\) |
0.368480 | + | 0.929636i | \(0.379878\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −590.606 | + | 495.577i | −0.739181 | + | 0.620247i | ||||
\(800\) | 96.0291 | + | 55.4424i | 0.120036 | + | 0.0693030i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −312.534 | − | 541.325i | −0.389693 | − | 0.674968i | ||||
\(803\) | −4.22452 | + | 11.6068i | −0.00526092 | + | 0.0144543i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 251.965 | + | 211.424i | 0.313000 | + | 0.262638i | ||||
\(806\) | 109.955 | + | 302.099i | 0.136420 | + | 0.374812i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2.61077 | − | 14.8064i | −0.00323115 | − | 0.0183248i | ||||
\(809\) | − | 1495.47i | − | 1.84854i | −0.381735 | − | 0.924272i | \(-0.624673\pi\) | ||
0.381735 | − | 0.924272i | \(-0.375327\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 584.404 | 0.720597 | 0.360299 | − | 0.932837i | \(-0.382675\pi\) | ||||
0.360299 | + | 0.932837i | \(0.382675\pi\) | |||||||
\(812\) | −617.600 | + | 108.900i | −0.760592 | + | 0.134113i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −60.8406 | + | 22.1442i | −0.0747428 | + | 0.0272041i | ||||
\(815\) | −249.106 | + | 296.873i | −0.305651 | + | 0.364261i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2371.30 | + | 863.082i | 2.90244 | + | 1.05640i | ||||
\(818\) | 170.213 | − | 98.2724i | 0.208084 | − | 0.120137i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −40.5006 | + | 70.1491i | −0.0493910 | + | 0.0855477i | ||||
\(821\) | −691.162 | − | 823.695i | −0.841854 | − | 1.00328i | −0.999874 | − | 0.0158465i | \(-0.994956\pi\) |
0.158021 | − | 0.987436i | \(-0.449489\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 61.8166 | − | 350.579i | 0.0751113 | − | 0.425977i | −0.923944 | − | 0.382527i | \(-0.875054\pi\) |
0.999056 | − | 0.0434502i | \(-0.0138350\pi\) | |||||||
\(824\) | 187.738 | + | 33.1033i | 0.227838 | + | 0.0401739i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −310.592 | + | 260.617i | −0.376019 | + | 0.315517i | ||||
\(827\) | −924.163 | − | 533.566i | −1.11749 | − | 0.645182i | −0.176730 | − | 0.984259i | \(-0.556552\pi\) |
−0.940759 | + | 0.339077i | \(0.889885\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −54.2240 | − | 93.9188i | −0.0654090 | − | 0.113292i | 0.831466 | − | 0.555575i | \(-0.187502\pi\) |
−0.896875 | + | 0.442283i | \(0.854169\pi\) | |||||||
\(830\) | 28.9906 | − | 79.6509i | 0.0349284 | − | 0.0959649i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −47.0821 | − | 39.5066i | −0.0565891 | − | 0.0474839i | ||||
\(833\) | −75.0696 | − | 206.252i | −0.0901196 | − | 0.247601i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −8.45989 | − | 47.9784i | −0.0101316 | − | 0.0574592i | ||||
\(836\) | 94.5630i | 0.113114i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −96.6109 | −0.115287 | ||||||||
\(839\) | −1323.91 | + | 233.440i | −1.57796 | + | 0.278236i | −0.892901 | − | 0.450254i | \(-0.851334\pi\) |
−0.685056 | + | 0.728490i | \(0.740222\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1545.08 | − | 562.364i | 1.83720 | − | 0.668685i | ||||
\(842\) | 316.460 | − | 377.142i | 0.375843 | − | 0.447912i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −126.985 | − | 46.2187i | −0.150456 | − | 0.0547615i | ||||
\(845\) | 221.286 | − | 127.759i | 0.261877 | − | 0.151195i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 372.806 | − | 645.719i | 0.440149 | − | 0.762360i | ||||
\(848\) | −221.211 | − | 263.630i | −0.260863 | − | 0.310884i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −111.953 | + | 634.917i | −0.131709 | + | 0.746961i | ||||
\(851\) | 647.221 | + | 114.123i | 0.760542 | + | 0.134104i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −582.882 | + | 489.096i | −0.683332 | + | 0.573383i | −0.916978 | − | 0.398938i | \(-0.869379\pi\) |
0.233646 | + | 0.972322i | \(0.424934\pi\) | |||||||
\(854\) | 651.245 | + | 375.996i | 0.762582 | + | 0.440277i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.05342 | + | 1.82458i | 0.00123063 | + | 0.00213152i | ||||
\(857\) | 18.4563 | − | 50.7082i | 0.0215359 | − | 0.0591694i | −0.928459 | − | 0.371435i | \(-0.878866\pi\) |
0.949995 | + | 0.312266i | \(0.101088\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −626.704 | − | 525.867i | −0.729573 | − | 0.612185i | 0.200442 | − | 0.979706i | \(-0.435762\pi\) |
−0.930015 | + | 0.367521i | \(0.880207\pi\) | |||||||
\(860\) | 132.992 | + | 365.393i | 0.154642 | + | 0.424876i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −86.1155 | − | 488.385i | −0.0999020 | − | 0.566572i | ||||
\(863\) | 879.385i | 1.01899i | 0.860475 | + | 0.509493i | \(0.170167\pi\) | ||||
−0.860475 | + | 0.509493i | \(0.829833\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −419.018 | −0.484414 | ||||||||
\(866\) | −246.847 | + | 43.5258i | −0.285043 | + | 0.0502607i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −349.779 | + | 127.309i | −0.402971 | + | 0.146669i | ||||
\(869\) | −72.7813 | + | 86.7374i | −0.0837529 | + | 0.0998129i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 365.897 | + | 133.176i | 0.420089 | + | 0.152900i | ||||
\(872\) | 139.296 | − | 80.4226i | 0.159743 | − | 0.0922277i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 479.938 | − | 831.277i | 0.549128 | − | 0.951118i | ||||
\(875\) | 418.971 | + | 499.311i | 0.478824 | + | 0.570641i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −116.280 | + | 659.457i | −0.132588 | + | 0.751947i | 0.843920 | + | 0.536469i | \(0.180242\pi\) |
−0.976509 | + | 0.215478i | \(0.930869\pi\) | |||||||
\(878\) | 3.97148 | + | 0.700278i | 0.00452332 | + | 0.000797584i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −11.1622 | + | 9.36620i | −0.0126843 | + | 0.0106434i | ||||
\(881\) | 1369.90 | + | 790.915i | 1.55494 | + | 0.897747i | 0.997727 | + | 0.0673788i | \(0.0214636\pi\) |
0.557215 | + | 0.830368i | \(0.311870\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 478.719 | + | 829.166i | 0.542151 | + | 0.939033i | 0.998780 | + | 0.0493760i | \(0.0157233\pi\) |
−0.456629 | + | 0.889657i | \(0.650943\pi\) | |||||||
\(884\) | 122.221 | − | 335.800i | 0.138259 | − | 0.379864i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −578.648 | − | 485.544i | −0.653102 | − | 0.548018i | ||||
\(887\) | −51.4063 | − | 141.238i | −0.0579552 | − | 0.159231i | 0.907336 | − | 0.420406i | \(-0.138112\pi\) |
−0.965291 | + | 0.261175i | \(0.915890\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −53.9389 | − | 305.903i | −0.0606737 | − | 0.344098i | ||||
\(890\) | − | 89.1316i | − | 0.100148i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −452.726 | −0.507540 | ||||||||
\(893\) | 984.509 | − | 173.596i | 1.10247 | − | 0.194396i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −505.668 | + | 184.048i | −0.564992 | + | 0.205640i | ||||
\(896\) | 45.7419 | − | 54.5131i | 0.0510512 | − | 0.0608405i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 879.502 | + | 320.113i | 0.979401 | + | 0.356473i | ||||
\(899\) | 1277.47 | − | 737.548i | 1.42099 | − | 0.820410i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1000.47 | − | 1732.86i | 1.11040 | − | 1.92326i | ||||
\(902\) | 24.8448 | + | 29.6089i | 0.0275441 | + | 0.0328258i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 104.978 | − | 595.360i | 0.116126 | − | 0.658584i | ||||
\(905\) | 220.223 | + | 38.8312i | 0.243340 | + | 0.0429074i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 437.395 | − | 367.018i | 0.482243 | − | 0.404650i | −0.368994 | − | 0.929432i | \(-0.620298\pi\) |
0.851237 | + | 0.524782i | \(0.175853\pi\) | |||||||
\(908\) | 447.478 | + | 258.352i | 0.492817 | + | 0.284528i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −79.3890 | − | 137.506i | −0.0872407 | − | 0.151105i | ||||
\(911\) | −25.3171 | + | 69.5582i | −0.0277905 | + | 0.0763537i | −0.952812 | − | 0.303561i | \(-0.901824\pi\) |
0.925022 | + | 0.379915i | \(0.124047\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −30.9838 | − | 25.9985i | −0.0339363 | − | 0.0284759i | ||||
\(914\) | 297.195 | + | 816.536i | 0.325158 | + | 0.893365i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −18.6542 | − | 105.793i | −0.0203649 | − | 0.115495i | ||||
\(917\) | − | 309.979i | − | 0.338036i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −124.230 | −0.135179 | −0.0675897 | − | 0.997713i | \(-0.521531\pi\) | ||||
−0.0675897 | + | 0.997713i | \(0.521531\pi\) | |||||||
\(920\) | 145.660 | − | 25.6838i | 0.158326 | − | 0.0279172i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 537.053 | − | 195.471i | 0.582487 | − | 0.212008i | ||||
\(923\) | 185.585 | − | 221.172i | 0.201067 | − | 0.239622i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 537.851 | + | 195.762i | 0.581461 | + | 0.211634i | ||||
\(926\) | 508.991 | − | 293.866i | 0.549667 | − | 0.317350i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −141.003 | + | 244.225i | −0.151943 | + | 0.263173i | ||||
\(929\) | −576.612 | − | 687.179i | −0.620680 | − | 0.739697i | 0.360507 | − | 0.932756i | \(-0.382604\pi\) |
−0.981187 | + | 0.193059i | \(0.938159\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −49.4205 | + | 280.278i | −0.0530833 | + | 0.301050i | ||||
\(932\) | −211.907 | − | 37.3649i | −0.227368 | − | 0.0400911i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −201.807 | + | 169.337i | −0.216068 | + | 0.181303i | ||||
\(935\) | −73.3702 | − | 42.3603i | −0.0784708 | − | 0.0453051i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −710.201 | − | 1230.10i | −0.757951 | − | 1.31281i | −0.943894 | − | 0.330250i | \(-0.892867\pi\) |
0.185942 | − | 0.982561i | \(-0.440466\pi\) | |||||||
\(938\) | −154.195 | + | 423.647i | −0.164387 | + | 0.451649i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 118.004 | + | 99.0171i | 0.125536 | + | 0.105337i | ||||
\(941\) | 397.724 | + | 1092.74i | 0.422661 | + | 1.16125i | 0.950178 | + | 0.311708i | \(0.100901\pi\) |
−0.527517 | + | 0.849545i | \(0.676877\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −68.1290 | − | 386.379i | −0.0722470 | − | 0.409733i | ||||
\(944\) | 182.322i | 0.193138i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 185.546 | 0.196137 | ||||||||
\(947\) | 553.877 | − | 97.6635i | 0.584875 | − | 0.103129i | 0.126622 | − | 0.991951i | \(-0.459586\pi\) |
0.458253 | + | 0.888822i | \(0.348475\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −56.8734 | + | 20.7002i | −0.0599299 | + | 0.0218127i | ||||
\(950\) | 537.350 | − | 640.389i | 0.565632 | − | 0.674094i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 388.799 | + | 141.511i | 0.408403 | + | 0.148646i | ||||
\(953\) | 1273.41 | − | 735.202i | 1.33621 | − | 0.771461i | 0.349966 | − | 0.936762i | \(-0.386193\pi\) |
0.986243 | + | 0.165302i | \(0.0528598\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −112.982 | + | 195.690i | −0.118306 | + | 0.204911i | ||||
\(956\) | 571.780 | + | 681.420i | 0.598096 | + | 0.712783i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −84.0794 | + | 476.838i | −0.0877656 | + | 0.497743i | ||||
\(959\) | 837.412 | + | 147.658i | 0.873214 | + | 0.153971i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −65.4723 | + | 54.9378i | −0.0681294 | + | 0.0571673i | ||||
\(962\) | −274.749 | − | 158.627i | −0.285602 | − | 0.164893i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −204.160 | − | 353.616i | −0.211785 | − | 0.366822i | ||||
\(965\) | −39.7249 | + | 109.143i | −0.0411657 | + | 0.113102i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 151.344 | + | 126.993i | 0.156509 | + | 0.131326i | 0.717679 | − | 0.696374i | \(-0.245204\pi\) |
−0.561171 | + | 0.827700i | \(0.689649\pi\) | |||||||
\(968\) | −114.675 | − | 315.066i | −0.118466 | − | 0.325482i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 20.1290 | + | 114.157i | 0.0207515 | + | 0.117688i | ||||
\(971\) | 983.699i | 1.01308i | 0.862217 | + | 0.506539i | \(0.169075\pi\) | ||||
−0.862217 | + | 0.506539i | \(0.830925\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1370.68 | 1.40871 | ||||||||
\(974\) | −672.843 | + | 118.640i | −0.690804 | + | 0.121807i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 317.763 | − | 115.656i | 0.325577 | − | 0.118500i | ||||
\(977\) | −594.062 | + | 707.975i | −0.608047 | + | 0.724642i | −0.978966 | − | 0.204023i | \(-0.934598\pi\) |
0.370919 | + | 0.928665i | \(0.379043\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −39.9663 | − | 14.5465i | −0.0408236 | − | 0.0148586i | ||||
\(980\) | −37.9789 | + | 21.9271i | −0.0387540 | + | 0.0223746i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 176.387 | − | 305.512i | 0.179621 | − | 0.311112i | ||||
\(983\) | −782.330 | − | 932.344i | −0.795860 | − | 0.948468i | 0.203673 | − | 0.979039i | \(-0.434712\pi\) |
−0.999533 | + | 0.0305705i | \(0.990268\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −106.740 | + | 605.355i | −0.108366 | + | 0.614573i | ||||
\(986\) | −1614.75 | − | 284.723i | −1.63767 | − | 0.288766i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −354.955 | + | 297.843i | −0.359266 | + | 0.301460i | ||||
\(989\) | −1631.08 | − | 941.704i | −1.64922 | − | 0.952178i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 370.185 | + | 641.179i | 0.373547 | + | 0.647002i | 0.990108 | − | 0.140305i | \(-0.0448082\pi\) |
−0.616562 | + | 0.787307i | \(0.711475\pi\) | |||||||
\(992\) | −57.2483 | + | 157.288i | −0.0577100 | + | 0.158557i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 256.079 | + | 214.876i | 0.257625 | + | 0.216173i | ||||
\(995\) | 106.437 | + | 292.432i | 0.106971 | + | 0.293902i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −210.084 | − | 1191.45i | −0.210717 | − | 1.19503i | −0.888187 | − | 0.459483i | \(-0.848035\pi\) |
0.677470 | − | 0.735550i | \(-0.263076\pi\) | |||||||
\(998\) | − | 469.010i | − | 0.469950i | ||||||
\(999\) | 0 | 0 |
(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 | 162.3.f.a.71.5 | 36 | ||
3.2 | odd | 2 | 54.3.f.a.41.3 | yes | 36 | ||
12.11 | even | 2 | 432.3.bc.c.257.2 | 36 | |||
27.2 | odd | 18 | inner | 162.3.f.a.89.5 | 36 | ||
27.5 | odd | 18 | 1458.3.b.c.1457.30 | 36 | |||
27.22 | even | 9 | 1458.3.b.c.1457.7 | 36 | |||
27.25 | even | 9 | 54.3.f.a.29.3 | ✓ | 36 | ||
108.79 | odd | 18 | 432.3.bc.c.353.2 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
54.3.f.a.29.3 | ✓ | 36 | 27.25 | even | 9 | ||
54.3.f.a.41.3 | yes | 36 | 3.2 | odd | 2 | ||
162.3.f.a.71.5 | 36 | 1.1 | even | 1 | trivial | ||
162.3.f.a.89.5 | 36 | 27.2 | odd | 18 | inner | ||
432.3.bc.c.257.2 | 36 | 12.11 | even | 2 | |||
432.3.bc.c.353.2 | 36 | 108.79 | odd | 18 | |||
1458.3.b.c.1457.7 | 36 | 27.22 | even | 9 | |||
1458.3.b.c.1457.30 | 36 | 27.5 | odd | 18 |