Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,3,Mod(97,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.97");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.h (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.47685331364\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 97.4 | ||
Character | \(\chi\) | \(=\) | 201.97 |
Dual form | 201.3.h.b.172.4 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.79024 | + | 1.03359i | −0.895120 | + | 0.516797i | −0.875614 | − | 0.483012i | \(-0.839543\pi\) |
−0.0195059 | + | 0.999810i | \(0.506209\pi\) | |||||||
\(3\) | 1.73205i | 0.577350i | ||||||||
\(4\) | 0.136637 | − | 0.236663i | 0.0341593 | − | 0.0591656i | ||||
\(5\) | 0.118573i | 0.0237146i | 0.999930 | + | 0.0118573i | \(0.00377438\pi\) | ||||
−0.999930 | + | 0.0118573i | \(0.996226\pi\) | |||||||
\(6\) | −1.79024 | − | 3.10078i | −0.298373 | − | 0.516797i | ||||
\(7\) | −4.18772 | − | 2.41778i | −0.598245 | − | 0.345397i | 0.170106 | − | 0.985426i | \(-0.445589\pi\) |
−0.768351 | + | 0.640029i | \(0.778922\pi\) | |||||||
\(8\) | − | 7.70385i | − | 0.962981i | ||||||
\(9\) | −3.00000 | −0.333333 | ||||||||
\(10\) | −0.122556 | − | 0.212274i | −0.0122556 | − | 0.0212274i | ||||
\(11\) | −7.76165 | − | 4.48119i | −0.705605 | − | 0.407381i | 0.103827 | − | 0.994595i | \(-0.466891\pi\) |
−0.809431 | + | 0.587214i | \(0.800225\pi\) | |||||||
\(12\) | 0.409912 | + | 0.236663i | 0.0341593 | + | 0.0197219i | ||||
\(13\) | 3.99056 | − | 2.30395i | 0.306966 | − | 0.177227i | −0.338602 | − | 0.940930i | \(-0.609954\pi\) |
0.645568 | + | 0.763703i | \(0.276621\pi\) | |||||||
\(14\) | 9.99602 | 0.714001 | ||||||||
\(15\) | −0.205374 | −0.0136916 | ||||||||
\(16\) | 8.50921 | + | 14.7384i | 0.531826 | + | 0.921149i | ||||
\(17\) | −3.37913 | − | 5.85283i | −0.198772 | − | 0.344284i | 0.749358 | − | 0.662165i | \(-0.230362\pi\) |
−0.948131 | + | 0.317881i | \(0.897029\pi\) | |||||||
\(18\) | 5.37072 | − | 3.10078i | 0.298373 | − | 0.172266i | ||||
\(19\) | 2.77232 | + | 4.80179i | 0.145911 | + | 0.252726i | 0.929713 | − | 0.368286i | \(-0.120055\pi\) |
−0.783801 | + | 0.621012i | \(0.786722\pi\) | |||||||
\(20\) | 0.0280617 | + | 0.0162014i | 0.00140309 | + | 0.000810072i | ||||
\(21\) | 4.18772 | − | 7.25334i | 0.199415 | − | 0.345397i | ||||
\(22\) | 18.5269 | 0.842134 | ||||||||
\(23\) | −18.0515 | − | 31.2661i | −0.784848 | − | 1.35940i | −0.929090 | − | 0.369854i | \(-0.879408\pi\) |
0.144242 | − | 0.989542i | \(-0.453926\pi\) | |||||||
\(24\) | 13.3435 | 0.555977 | ||||||||
\(25\) | 24.9859 | 0.999438 | ||||||||
\(26\) | −4.76270 | + | 8.24924i | −0.183181 | + | 0.317278i | ||||
\(27\) | − | 5.19615i | − | 0.192450i | ||||||
\(28\) | −1.14440 | + | 0.660717i | −0.0408713 | + | 0.0235970i | ||||
\(29\) | 14.9263 | − | 25.8531i | 0.514700 | − | 0.891487i | −0.485154 | − | 0.874428i | \(-0.661237\pi\) |
0.999854 | − | 0.0170582i | \(-0.00543006\pi\) | |||||||
\(30\) | 0.367669 | − | 0.212274i | 0.0122556 | − | 0.00707579i | ||||
\(31\) | −0.770869 | − | 0.445062i | −0.0248668 | − | 0.0143568i | 0.487515 | − | 0.873115i | \(-0.337903\pi\) |
−0.512382 | + | 0.858758i | \(0.671237\pi\) | |||||||
\(32\) | −3.78012 | − | 2.18245i | −0.118129 | − | 0.0682016i | ||||
\(33\) | 7.76165 | − | 13.4436i | 0.235202 | − | 0.407381i | ||||
\(34\) | 12.0989 | + | 6.98531i | 0.355850 | + | 0.205450i | ||||
\(35\) | 0.286683 | − | 0.496549i | 0.00819094 | − | 0.0141871i | ||||
\(36\) | −0.409912 | + | 0.709988i | −0.0113864 | + | 0.0197219i | ||||
\(37\) | 3.63103 | + | 6.28913i | 0.0981360 | + | 0.169977i | 0.910913 | − | 0.412598i | \(-0.135379\pi\) |
−0.812777 | + | 0.582575i | \(0.802045\pi\) | |||||||
\(38\) | −9.92621 | − | 5.73090i | −0.261216 | − | 0.150813i | ||||
\(39\) | 3.99056 | + | 6.91185i | 0.102322 | + | 0.177227i | ||||
\(40\) | 0.913467 | 0.0228367 | ||||||||
\(41\) | −58.6251 | − | 33.8472i | −1.42988 | − | 0.825542i | −0.432769 | − | 0.901505i | \(-0.642464\pi\) |
−0.997111 | + | 0.0759630i | \(0.975797\pi\) | |||||||
\(42\) | 17.3136i | 0.412229i | ||||||||
\(43\) | − | 4.32723i | − | 0.100633i | −0.998733 | − | 0.0503166i | \(-0.983977\pi\) | ||
0.998733 | − | 0.0503166i | \(-0.0160230\pi\) | |||||||
\(44\) | −2.12106 | + | 1.22459i | −0.0482059 | + | 0.0278317i | ||||
\(45\) | − | 0.355718i | − | 0.00790485i | ||||||
\(46\) | 64.6330 | + | 37.3159i | 1.40507 | + | 0.811215i | ||||
\(47\) | 21.3745 | − | 37.0217i | 0.454776 | − | 0.787695i | −0.543899 | − | 0.839150i | \(-0.683053\pi\) |
0.998675 | + | 0.0514555i | \(0.0163860\pi\) | |||||||
\(48\) | −25.5276 | + | 14.7384i | −0.531826 | + | 0.307050i | ||||
\(49\) | −12.8087 | − | 22.1853i | −0.261402 | − | 0.452761i | ||||
\(50\) | −44.7308 | + | 25.8253i | −0.894616 | + | 0.516507i | ||||
\(51\) | 10.1374 | − | 5.85283i | 0.198772 | − | 0.114761i | ||||
\(52\) | − | 1.25922i | − | 0.0242158i | ||||||
\(53\) | 61.3710i | 1.15794i | 0.815348 | + | 0.578972i | \(0.196546\pi\) | ||||
−0.815348 | + | 0.578972i | \(0.803454\pi\) | |||||||
\(54\) | 5.37072 | + | 9.30235i | 0.0994577 | + | 0.172266i | ||||
\(55\) | 0.531347 | − | 0.920320i | 0.00966086 | − | 0.0167331i | ||||
\(56\) | −18.6262 | + | 32.2615i | −0.332611 | + | 0.576099i | ||||
\(57\) | −8.31695 | + | 4.80179i | −0.145911 | + | 0.0842419i | ||||
\(58\) | 61.7110i | 1.06398i | ||||||||
\(59\) | −45.4130 | −0.769712 | −0.384856 | − | 0.922977i | \(-0.625749\pi\) | ||||
−0.384856 | + | 0.922977i | \(0.625749\pi\) | |||||||
\(60\) | −0.0280617 | + | 0.0486043i | −0.000467696 | + | 0.000810072i | ||||
\(61\) | −48.7912 | + | 28.1696i | −0.799856 | + | 0.461797i | −0.843421 | − | 0.537253i | \(-0.819462\pi\) |
0.0435647 | + | 0.999051i | \(0.486129\pi\) | |||||||
\(62\) | 1.84005 | 0.0296783 | ||||||||
\(63\) | 12.5631 | + | 7.25334i | 0.199415 | + | 0.115132i | ||||
\(64\) | −59.0506 | −0.922665 | ||||||||
\(65\) | 0.273186 | + | 0.473171i | 0.00420286 | + | 0.00727956i | ||||
\(66\) | 32.0896i | 0.486206i | ||||||||
\(67\) | −63.0665 | − | 22.6188i | −0.941292 | − | 0.337594i | ||||
\(68\) | −1.84686 | −0.0271597 | ||||||||
\(69\) | 54.1545 | − | 31.2661i | 0.784848 | − | 0.453132i | ||||
\(70\) | 1.18526i | 0.0169322i | ||||||||
\(71\) | −38.7646 | + | 67.1422i | −0.545980 | + | 0.945665i | 0.452565 | + | 0.891731i | \(0.350509\pi\) |
−0.998545 | + | 0.0539331i | \(0.982824\pi\) | |||||||
\(72\) | 23.1115i | 0.320994i | ||||||||
\(73\) | 17.3628 | + | 30.0733i | 0.237847 | + | 0.411962i | 0.960096 | − | 0.279670i | \(-0.0902251\pi\) |
−0.722250 | + | 0.691633i | \(0.756892\pi\) | |||||||
\(74\) | −13.0008 | − | 7.50604i | −0.175687 | − | 0.101433i | ||||
\(75\) | 43.2769i | 0.577026i | ||||||||
\(76\) | 1.51521 | 0.0199369 | ||||||||
\(77\) | 21.6691 | + | 37.5319i | 0.281416 | + | 0.487428i | ||||
\(78\) | −14.2881 | − | 8.24924i | −0.183181 | − | 0.105759i | ||||
\(79\) | −81.4581 | − | 47.0299i | −1.03112 | − | 0.595315i | −0.113811 | − | 0.993502i | \(-0.536306\pi\) |
−0.917304 | + | 0.398188i | \(0.869639\pi\) | |||||||
\(80\) | −1.74757 | + | 1.00896i | −0.0218446 | + | 0.0126120i | ||||
\(81\) | 9.00000 | 0.111111 | ||||||||
\(82\) | 139.937 | 1.70655 | ||||||||
\(83\) | −54.8226 | − | 94.9555i | −0.660513 | − | 1.14404i | −0.980481 | − | 0.196614i | \(-0.937005\pi\) |
0.319968 | − | 0.947428i | \(-0.396328\pi\) | |||||||
\(84\) | −1.14440 | − | 1.98215i | −0.0136238 | − | 0.0235970i | ||||
\(85\) | 0.693986 | − | 0.400673i | 0.00816454 | − | 0.00471380i | ||||
\(86\) | 4.47260 | + | 7.74678i | 0.0520070 | + | 0.0900788i | ||||
\(87\) | 44.7789 | + | 25.8531i | 0.514700 | + | 0.297162i | ||||
\(88\) | −34.5224 | + | 59.7946i | −0.392300 | + | 0.679484i | ||||
\(89\) | 5.63854 | 0.0633544 | 0.0316772 | − | 0.999498i | \(-0.489915\pi\) | ||||
0.0316772 | + | 0.999498i | \(0.489915\pi\) | |||||||
\(90\) | 0.367669 | + | 0.636821i | 0.00408521 | + | 0.00707579i | ||||
\(91\) | −22.2818 | −0.244855 | ||||||||
\(92\) | −9.86603 | −0.107239 | ||||||||
\(93\) | 0.770869 | − | 1.33519i | 0.00828892 | − | 0.0143568i | ||||
\(94\) | 88.3702i | 0.940108i | ||||||||
\(95\) | −0.569362 | + | 0.328721i | −0.00599328 | + | 0.00346022i | ||||
\(96\) | 3.78012 | − | 6.54736i | 0.0393762 | − | 0.0682016i | ||||
\(97\) | 57.8376 | − | 33.3925i | 0.596264 | − | 0.344253i | −0.171307 | − | 0.985218i | \(-0.554799\pi\) |
0.767570 | + | 0.640965i | \(0.221466\pi\) | |||||||
\(98\) | 45.8612 | + | 26.4780i | 0.467972 | + | 0.270184i | ||||
\(99\) | 23.2850 | + | 13.4436i | 0.235202 | + | 0.135794i | ||||
\(100\) | 3.41401 | − | 5.91324i | 0.0341401 | − | 0.0591324i | ||||
\(101\) | 14.5017 | + | 8.37255i | 0.143581 | + | 0.0828966i | 0.570070 | − | 0.821596i | \(-0.306916\pi\) |
−0.426489 | + | 0.904493i | \(0.640250\pi\) | |||||||
\(102\) | −12.0989 | + | 20.9559i | −0.118617 | + | 0.205450i | ||||
\(103\) | 19.5587 | − | 33.8767i | 0.189891 | − | 0.328900i | −0.755323 | − | 0.655353i | \(-0.772520\pi\) |
0.945214 | + | 0.326453i | \(0.105853\pi\) | |||||||
\(104\) | −17.7493 | − | 30.7426i | −0.170666 | − | 0.295602i | ||||
\(105\) | 0.860048 | + | 0.496549i | 0.00819094 | + | 0.00472904i | ||||
\(106\) | −63.4328 | − | 109.869i | −0.598422 | − | 1.03650i | ||||
\(107\) | 26.5806 | 0.248417 | 0.124209 | − | 0.992256i | \(-0.460361\pi\) | ||||
0.124209 | + | 0.992256i | \(0.460361\pi\) | |||||||
\(108\) | −1.22973 | − | 0.709988i | −0.0113864 | − | 0.00657396i | ||||
\(109\) | − | 63.4089i | − | 0.581733i | −0.956764 | − | 0.290867i | \(-0.906056\pi\) | ||
0.956764 | − | 0.290867i | \(-0.0939436\pi\) | |||||||
\(110\) | 2.19679i | 0.0199708i | ||||||||
\(111\) | −10.8931 | + | 6.28913i | −0.0981360 | + | 0.0566589i | ||||
\(112\) | − | 82.2936i | − | 0.734764i | ||||||
\(113\) | 1.09189 | + | 0.630402i | 0.00966273 | + | 0.00557878i | 0.504824 | − | 0.863223i | \(-0.331558\pi\) |
−0.495161 | + | 0.868801i | \(0.664891\pi\) | |||||||
\(114\) | 9.92621 | − | 17.1927i | 0.0870721 | − | 0.150813i | ||||
\(115\) | 3.70731 | − | 2.14042i | 0.0322375 | − | 0.0186123i | ||||
\(116\) | −4.07898 | − | 7.06499i | −0.0351636 | − | 0.0609051i | ||||
\(117\) | −11.9717 | + | 6.91185i | −0.102322 | + | 0.0590756i | ||||
\(118\) | 81.3001 | − | 46.9387i | 0.688984 | − | 0.397785i | ||||
\(119\) | 32.6800i | 0.274622i | ||||||||
\(120\) | 1.58217i | 0.0131848i | ||||||||
\(121\) | −20.3378 | − | 35.2262i | −0.168081 | − | 0.291126i | ||||
\(122\) | 58.2320 | − | 100.861i | 0.477311 | − | 0.826727i | ||||
\(123\) | 58.6251 | − | 101.542i | 0.476627 | − | 0.825542i | ||||
\(124\) | −0.210659 | + | 0.121624i | −0.00169886 | + | 0.000980838i | ||||
\(125\) | 5.92697i | 0.0474158i | ||||||||
\(126\) | −29.9881 | −0.238000 | ||||||||
\(127\) | 62.3783 | − | 108.042i | 0.491168 | − | 0.850727i | −0.508781 | − | 0.860896i | \(-0.669904\pi\) |
0.999948 | + | 0.0101688i | \(0.00323689\pi\) | |||||||
\(128\) | 120.835 | − | 69.7642i | 0.944025 | − | 0.545033i | ||||
\(129\) | 7.49498 | 0.0581006 | ||||||||
\(130\) | −0.978135 | − | 0.564727i | −0.00752412 | − | 0.00434405i | ||||
\(131\) | −11.6604 | −0.0890105 | −0.0445053 | − | 0.999009i | \(-0.514171\pi\) | ||||
−0.0445053 | + | 0.999009i | \(0.514171\pi\) | |||||||
\(132\) | −2.12106 | − | 3.67378i | −0.0160686 | − | 0.0278317i | ||||
\(133\) | − | 26.8114i | − | 0.201589i | ||||||
\(134\) | 136.283 | − | 24.6922i | 1.01704 | − | 0.184270i | ||||
\(135\) | 0.616122 | 0.00456387 | ||||||||
\(136\) | −45.0893 | + | 26.0323i | −0.331539 | + | 0.191414i | ||||
\(137\) | 80.9892i | 0.591162i | 0.955318 | + | 0.295581i | \(0.0955132\pi\) | ||||
−0.955318 | + | 0.295581i | \(0.904487\pi\) | |||||||
\(138\) | −64.6330 | + | 111.948i | −0.468355 | + | 0.811215i | ||||
\(139\) | − | 14.3806i | − | 0.103457i | −0.998661 | − | 0.0517286i | \(-0.983527\pi\) | ||
0.998661 | − | 0.0517286i | \(-0.0164731\pi\) | |||||||
\(140\) | −0.0783431 | − | 0.135694i | −0.000559593 | − | 0.000969244i | ||||
\(141\) | 64.1234 | + | 37.0217i | 0.454776 | + | 0.262565i | ||||
\(142\) | − | 160.267i | − | 1.12864i | ||||||
\(143\) | −41.2977 | −0.288795 | ||||||||
\(144\) | −25.5276 | − | 44.2151i | −0.177275 | − | 0.307050i | ||||
\(145\) | 3.06548 | + | 1.76985i | 0.0211412 | + | 0.0122059i | ||||
\(146\) | −62.1671 | − | 35.8922i | −0.425802 | − | 0.245837i | ||||
\(147\) | 38.4261 | − | 22.1853i | 0.261402 | − | 0.150920i | ||||
\(148\) | 1.98454 | 0.0134090 | ||||||||
\(149\) | 46.2165 | 0.310178 | 0.155089 | − | 0.987901i | \(-0.450434\pi\) | ||||
0.155089 | + | 0.987901i | \(0.450434\pi\) | |||||||
\(150\) | −44.7308 | − | 77.4760i | −0.298205 | − | 0.516507i | ||||
\(151\) | −1.03515 | − | 1.79293i | −0.00685528 | − | 0.0118737i | 0.862577 | − | 0.505925i | \(-0.168849\pi\) |
−0.869433 | + | 0.494051i | \(0.835515\pi\) | |||||||
\(152\) | 36.9923 | − | 21.3575i | 0.243370 | − | 0.140510i | ||||
\(153\) | 10.1374 | + | 17.5585i | 0.0662575 | + | 0.114761i | ||||
\(154\) | −77.5856 | − | 44.7941i | −0.503803 | − | 0.290871i | ||||
\(155\) | 0.0527722 | − | 0.0914041i | 0.000340466 | − | 0.000589704i | ||||
\(156\) | 2.18103 | 0.0139810 | ||||||||
\(157\) | −23.0614 | − | 39.9435i | −0.146888 | − | 0.254417i | 0.783188 | − | 0.621785i | \(-0.213592\pi\) |
−0.930076 | + | 0.367368i | \(0.880259\pi\) | |||||||
\(158\) | 194.439 | 1.23063 | ||||||||
\(159\) | −106.298 | −0.668539 | ||||||||
\(160\) | 0.258779 | − | 0.448219i | 0.00161737 | − | 0.00280137i | ||||
\(161\) | 174.578i | 1.08434i | ||||||||
\(162\) | −16.1122 | + | 9.30235i | −0.0994577 | + | 0.0574219i | ||||
\(163\) | −86.0801 | + | 149.095i | −0.528099 | + | 0.914694i | 0.471365 | + | 0.881938i | \(0.343762\pi\) |
−0.999463 | + | 0.0327552i | \(0.989572\pi\) | |||||||
\(164\) | −16.0207 | + | 9.24957i | −0.0976874 | + | 0.0563998i | ||||
\(165\) | 1.59404 | + | 0.920320i | 0.00966086 | + | 0.00557770i | ||||
\(166\) | 196.291 | + | 113.329i | 1.18248 | + | 0.682703i | ||||
\(167\) | 113.145 | − | 195.974i | 0.677517 | − | 1.17349i | −0.298209 | − | 0.954501i | \(-0.596389\pi\) |
0.975726 | − | 0.218994i | \(-0.0702774\pi\) | |||||||
\(168\) | −55.8786 | − | 32.2615i | −0.332611 | − | 0.192033i | ||||
\(169\) | −73.8836 | + | 127.970i | −0.437181 | + | 0.757220i | ||||
\(170\) | −0.828267 | + | 1.43460i | −0.00487216 | + | 0.00843883i | ||||
\(171\) | −8.31695 | − | 14.4054i | −0.0486371 | − | 0.0842419i | ||||
\(172\) | −1.02409 | − | 0.591261i | −0.00595403 | − | 0.00343756i | ||||
\(173\) | 106.032 | + | 183.652i | 0.612899 | + | 1.06157i | 0.990749 | + | 0.135706i | \(0.0433302\pi\) |
−0.377850 | + | 0.925867i | \(0.623336\pi\) | |||||||
\(174\) | −106.887 | −0.614291 | ||||||||
\(175\) | −104.634 | − | 60.4105i | −0.597909 | − | 0.345203i | ||||
\(176\) | − | 152.526i | − | 0.866623i | ||||||
\(177\) | − | 78.6576i | − | 0.444393i | ||||||
\(178\) | −10.0943 | + | 5.82797i | −0.0567097 | + | 0.0327414i | ||||
\(179\) | 59.1674i | 0.330544i | 0.986248 | + | 0.165272i | \(0.0528503\pi\) | ||||
−0.986248 | + | 0.165272i | \(0.947150\pi\) | |||||||
\(180\) | −0.0841852 | − | 0.0486043i | −0.000467696 | − | 0.000270024i | ||||
\(181\) | 4.59559 | − | 7.95980i | 0.0253900 | − | 0.0439768i | −0.853051 | − | 0.521827i | \(-0.825251\pi\) |
0.878441 | + | 0.477850i | \(0.158584\pi\) | |||||||
\(182\) | 39.8897 | − | 23.0303i | 0.219174 | − | 0.126540i | ||||
\(183\) | −48.7912 | − | 84.5089i | −0.266619 | − | 0.461797i | ||||
\(184\) | −240.870 | + | 139.066i | −1.30907 | + | 0.755794i | ||||
\(185\) | −0.745720 | + | 0.430542i | −0.00403092 | + | 0.00232725i | ||||
\(186\) | 3.18707i | 0.0171348i | ||||||||
\(187\) | 60.5701i | 0.323904i | ||||||||
\(188\) | −5.84109 | − | 10.1171i | −0.0310696 | − | 0.0538142i | ||||
\(189\) | −12.5631 | + | 21.7600i | −0.0664717 | + | 0.115132i | ||||
\(190\) | 0.679529 | − | 1.17698i | 0.00357647 | − | 0.00619462i | ||||
\(191\) | −310.202 | + | 179.095i | −1.62410 | + | 0.937673i | −0.638289 | + | 0.769797i | \(0.720357\pi\) |
−0.985808 | + | 0.167876i | \(0.946309\pi\) | |||||||
\(192\) | − | 102.279i | − | 0.532701i | ||||||
\(193\) | 215.516 | 1.11666 | 0.558332 | − | 0.829617i | \(-0.311441\pi\) | ||||
0.558332 | + | 0.829617i | \(0.311441\pi\) | |||||||
\(194\) | −69.0287 | + | 119.561i | −0.355818 | + | 0.616295i | ||||
\(195\) | −0.819557 | + | 0.473171i | −0.00420286 | + | 0.00242652i | ||||
\(196\) | −7.00057 | −0.0357172 | ||||||||
\(197\) | 116.704 | + | 67.3794i | 0.592409 | + | 0.342027i | 0.766049 | − | 0.642782i | \(-0.222220\pi\) |
−0.173641 | + | 0.984809i | \(0.555553\pi\) | |||||||
\(198\) | −55.5808 | −0.280711 | ||||||||
\(199\) | 156.917 | + | 271.788i | 0.788526 | + | 1.36577i | 0.926870 | + | 0.375383i | \(0.122489\pi\) |
−0.138344 | + | 0.990384i | \(0.544178\pi\) | |||||||
\(200\) | − | 192.488i | − | 0.962440i | ||||||
\(201\) | 39.1769 | − | 109.234i | 0.194910 | − | 0.543455i | ||||
\(202\) | −34.6153 | −0.171363 | ||||||||
\(203\) | −125.014 | + | 72.1770i | −0.615834 | + | 0.355552i | ||||
\(204\) | − | 3.19885i | − | 0.0156807i | ||||||
\(205\) | 4.01336 | − | 6.95134i | 0.0195774 | − | 0.0339090i | ||||
\(206\) | 80.8632i | 0.392540i | ||||||||
\(207\) | 54.1545 | + | 93.7984i | 0.261616 | + | 0.453132i | ||||
\(208\) | 67.9130 | + | 39.2096i | 0.326505 | + | 0.188508i | ||||
\(209\) | − | 49.6931i | − | 0.237766i | ||||||
\(210\) | −2.05292 | −0.00977582 | ||||||||
\(211\) | 49.2300 | + | 85.2688i | 0.233317 | + | 0.404117i | 0.958782 | − | 0.284142i | \(-0.0917086\pi\) |
−0.725465 | + | 0.688259i | \(0.758375\pi\) | |||||||
\(212\) | 14.5242 | + | 8.38556i | 0.0685105 | + | 0.0395545i | ||||
\(213\) | −116.294 | − | 67.1422i | −0.545980 | − | 0.315222i | ||||
\(214\) | −47.5857 | + | 27.4736i | −0.222363 | + | 0.128381i | ||||
\(215\) | 0.513092 | 0.00238647 | ||||||||
\(216\) | −40.0304 | −0.185326 | ||||||||
\(217\) | 2.15212 | + | 3.72758i | 0.00991761 | + | 0.0171778i | ||||
\(218\) | 65.5391 | + | 113.517i | 0.300638 | + | 0.520721i | ||||
\(219\) | −52.0884 | + | 30.0733i | −0.237847 | + | 0.137321i | ||||
\(220\) | −0.145204 | − | 0.251500i | −0.000660016 | − | 0.00114318i | ||||
\(221\) | −26.9692 | − | 15.5707i | −0.122033 | − | 0.0704556i | ||||
\(222\) | 13.0008 | − | 22.5181i | 0.0585623 | − | 0.101433i | ||||
\(223\) | −326.631 | −1.46471 | −0.732357 | − | 0.680921i | \(-0.761580\pi\) | ||||
−0.732357 | + | 0.680921i | \(0.761580\pi\) | |||||||
\(224\) | 10.5534 | + | 18.2790i | 0.0471133 | + | 0.0816026i | ||||
\(225\) | −74.9578 | −0.333146 | ||||||||
\(226\) | −2.60632 | −0.0115324 | ||||||||
\(227\) | 28.9842 | − | 50.2021i | 0.127684 | − | 0.221155i | −0.795095 | − | 0.606485i | \(-0.792579\pi\) |
0.922779 | + | 0.385330i | \(0.125912\pi\) | |||||||
\(228\) | 2.62441i | 0.0115106i | ||||||||
\(229\) | 217.881 | − | 125.794i | 0.951447 | − | 0.549318i | 0.0579168 | − | 0.998321i | \(-0.481554\pi\) |
0.893530 | + | 0.449003i | \(0.148221\pi\) | |||||||
\(230\) | −4.42465 | + | 7.66372i | −0.0192376 | + | 0.0333205i | ||||
\(231\) | −65.0072 | + | 37.5319i | −0.281416 | + | 0.162476i | ||||
\(232\) | −199.169 | − | 114.990i | −0.858485 | − | 0.495647i | ||||
\(233\) | 202.424 | + | 116.870i | 0.868774 | + | 0.501587i | 0.866941 | − | 0.498412i | \(-0.166083\pi\) |
0.00183311 | + | 0.999998i | \(0.499417\pi\) | |||||||
\(234\) | 14.2881 | − | 24.7477i | 0.0610603 | − | 0.105759i | ||||
\(235\) | 4.38976 | + | 2.53443i | 0.0186798 | + | 0.0107848i | ||||
\(236\) | −6.20511 | + | 10.7476i | −0.0262928 | + | 0.0455405i | ||||
\(237\) | 81.4581 | − | 141.090i | 0.343705 | − | 0.595315i | ||||
\(238\) | −33.7779 | − | 58.5050i | −0.141924 | − | 0.245819i | ||||
\(239\) | −244.875 | − | 141.378i | −1.02458 | − | 0.591541i | −0.109153 | − | 0.994025i | \(-0.534814\pi\) |
−0.915427 | + | 0.402484i | \(0.868147\pi\) | |||||||
\(240\) | −1.74757 | − | 3.02688i | −0.00728155 | − | 0.0126120i | ||||
\(241\) | −228.298 | −0.947296 | −0.473648 | − | 0.880714i | \(-0.657063\pi\) | ||||
−0.473648 | + | 0.880714i | \(0.657063\pi\) | |||||||
\(242\) | 72.8192 | + | 42.0422i | 0.300906 | + | 0.173728i | ||||
\(243\) | 15.5885i | 0.0641500i | ||||||||
\(244\) | 15.3961i | 0.0630987i | ||||||||
\(245\) | 2.63057 | − | 1.51876i | 0.0107370 | − | 0.00619903i | ||||
\(246\) | 242.378i | 0.985278i | ||||||||
\(247\) | 22.1262 | + | 12.7745i | 0.0895796 | + | 0.0517188i | ||||
\(248\) | −3.42869 | + | 5.93866i | −0.0138254 | + | 0.0239462i | ||||
\(249\) | 164.468 | − | 94.9555i | 0.660513 | − | 0.381348i | ||||
\(250\) | −6.12609 | − | 10.6107i | −0.0245044 | − | 0.0424428i | ||||
\(251\) | −165.359 | + | 95.4700i | −0.658800 | + | 0.380359i | −0.791820 | − | 0.610755i | \(-0.790866\pi\) |
0.133019 | + | 0.991113i | \(0.457533\pi\) | |||||||
\(252\) | 3.43319 | − | 1.98215i | 0.0136238 | − | 0.00786568i | ||||
\(253\) | 323.569i | 1.27893i | ||||||||
\(254\) | 257.896i | 1.01534i | ||||||||
\(255\) | 0.693986 | + | 1.20202i | 0.00272151 | + | 0.00471380i | ||||
\(256\) | −26.1147 | + | 45.2320i | −0.102010 | + | 0.176687i | ||||
\(257\) | 142.017 | − | 245.981i | 0.552597 | − | 0.957126i | −0.445489 | − | 0.895287i | \(-0.646970\pi\) |
0.998086 | − | 0.0618389i | \(-0.0196965\pi\) | |||||||
\(258\) | −13.4178 | + | 7.74678i | −0.0520070 | + | 0.0300263i | ||||
\(259\) | − | 35.1161i | − | 0.135584i | ||||||
\(260\) | 0.149309 | 0.000574266 | ||||||||
\(261\) | −44.7789 | + | 77.5593i | −0.171567 | + | 0.297162i | ||||
\(262\) | 20.8749 | − | 12.0521i | 0.0796751 | − | 0.0460004i | ||||
\(263\) | 391.805 | 1.48975 | 0.744876 | − | 0.667203i | \(-0.232509\pi\) | ||||
0.744876 | + | 0.667203i | \(0.232509\pi\) | |||||||
\(264\) | −103.567 | − | 59.7946i | −0.392300 | − | 0.226495i | ||||
\(265\) | −7.27693 | −0.0274601 | ||||||||
\(266\) | 27.7121 | + | 47.9988i | 0.104181 | + | 0.180447i | ||||
\(267\) | 9.76624i | 0.0365777i | ||||||||
\(268\) | −13.9703 | + | 11.8349i | −0.0521278 | + | 0.0441601i | ||||
\(269\) | 328.017 | 1.21939 | 0.609697 | − | 0.792635i | \(-0.291291\pi\) | ||||
0.609697 | + | 0.792635i | \(0.291291\pi\) | |||||||
\(270\) | −1.10301 | + | 0.636821i | −0.00408521 | + | 0.00235860i | ||||
\(271\) | 159.770i | 0.589556i | 0.955566 | + | 0.294778i | \(0.0952457\pi\) | ||||
−0.955566 | + | 0.294778i | \(0.904754\pi\) | |||||||
\(272\) | 57.5075 | − | 99.6059i | 0.211425 | − | 0.366198i | ||||
\(273\) | − | 38.5931i | − | 0.141367i | ||||||
\(274\) | −83.7100 | − | 144.990i | −0.305511 | − | 0.529161i | ||||
\(275\) | −193.932 | − | 111.967i | −0.705208 | − | 0.407152i | ||||
\(276\) | − | 17.0885i | − | 0.0619147i | ||||||
\(277\) | 396.390 | 1.43101 | 0.715506 | − | 0.698607i | \(-0.246196\pi\) | ||||
0.715506 | + | 0.698607i | \(0.246196\pi\) | |||||||
\(278\) | 14.8637 | + | 25.7446i | 0.0534664 | + | 0.0926066i | ||||
\(279\) | 2.31261 | + | 1.33519i | 0.00828892 | + | 0.00478561i | ||||
\(280\) | −3.82534 | − | 2.20856i | −0.0136619 | − | 0.00788772i | ||||
\(281\) | −57.0045 | + | 32.9116i | −0.202863 | + | 0.117123i | −0.597990 | − | 0.801503i | \(-0.704034\pi\) |
0.395127 | + | 0.918626i | \(0.370701\pi\) | |||||||
\(282\) | −153.062 | −0.542772 | ||||||||
\(283\) | 521.842 | 1.84396 | 0.921982 | − | 0.387233i | \(-0.126569\pi\) | ||||
0.921982 | + | 0.387233i | \(0.126569\pi\) | |||||||
\(284\) | 10.5934 | + | 18.3482i | 0.0373006 | + | 0.0646065i | ||||
\(285\) | −0.569362 | − | 0.986163i | −0.00199776 | − | 0.00346022i | ||||
\(286\) | 73.9328 | − | 42.6851i | 0.258506 | − | 0.149249i | ||||
\(287\) | 163.670 | + | 283.485i | 0.570279 | + | 0.987753i | ||||
\(288\) | 11.3404 | + | 6.54736i | 0.0393762 | + | 0.0227339i | ||||
\(289\) | 121.663 | − | 210.726i | 0.420979 | − | 0.729157i | ||||
\(290\) | −7.31724 | −0.0252319 | ||||||||
\(291\) | 57.8376 | + | 100.178i | 0.198755 | + | 0.344253i | ||||
\(292\) | 9.48962 | 0.0324987 | ||||||||
\(293\) | −430.557 | −1.46948 | −0.734738 | − | 0.678351i | \(-0.762695\pi\) | ||||
−0.734738 | + | 0.678351i | \(0.762695\pi\) | |||||||
\(294\) | −45.8612 | + | 79.4340i | −0.155991 | + | 0.270184i | ||||
\(295\) | − | 5.38475i | − | 0.0182534i | ||||||
\(296\) | 48.4505 | − | 27.9729i | 0.163684 | − | 0.0945032i | ||||
\(297\) | −23.2850 | + | 40.3307i | −0.0784005 | + | 0.135794i | ||||
\(298\) | −82.7386 | + | 47.7692i | −0.277646 | + | 0.160299i | ||||
\(299\) | −144.071 | − | 83.1795i | −0.481843 | − | 0.278192i | ||||
\(300\) | 10.2420 | + | 5.91324i | 0.0341401 | + | 0.0197108i | ||||
\(301\) | −10.4623 | + | 18.1212i | −0.0347584 | + | 0.0602034i | ||||
\(302\) | 3.70632 | + | 2.13985i | 0.0122726 | + | 0.00708558i | ||||
\(303\) | −14.5017 | + | 25.1177i | −0.0478604 | + | 0.0828966i | ||||
\(304\) | −47.1804 | + | 81.7189i | −0.155199 | + | 0.268812i | ||||
\(305\) | −3.34015 | − | 5.78531i | −0.0109513 | − | 0.0189682i | ||||
\(306\) | −36.2967 | − | 20.9559i | −0.118617 | − | 0.0684834i | ||||
\(307\) | −244.969 | − | 424.298i | −0.797944 | − | 1.38208i | −0.920953 | − | 0.389674i | \(-0.872588\pi\) |
0.123009 | − | 0.992406i | \(-0.460746\pi\) | |||||||
\(308\) | 11.8432 | 0.0384519 | ||||||||
\(309\) | 58.6762 | + | 33.8767i | 0.189891 | + | 0.109633i | ||||
\(310\) | 0.218180i | 0.000703807i | ||||||||
\(311\) | 71.1225i | 0.228690i | 0.993441 | + | 0.114345i | \(0.0364769\pi\) | ||||
−0.993441 | + | 0.114345i | \(0.963523\pi\) | |||||||
\(312\) | 53.2478 | − | 30.7426i | 0.170666 | − | 0.0985341i | ||||
\(313\) | − | 210.567i | − | 0.672737i | −0.941730 | − | 0.336369i | \(-0.890801\pi\) | ||
0.941730 | − | 0.336369i | \(-0.109199\pi\) | |||||||
\(314\) | 82.5708 | + | 47.6722i | 0.262964 | + | 0.151822i | ||||
\(315\) | −0.860048 | + | 1.48965i | −0.00273031 | + | 0.00472904i | ||||
\(316\) | −22.2604 | + | 12.8521i | −0.0704443 | + | 0.0406711i | ||||
\(317\) | 35.9174 | + | 62.2108i | 0.113304 | + | 0.196249i | 0.917101 | − | 0.398656i | \(-0.130523\pi\) |
−0.803796 | + | 0.594904i | \(0.797190\pi\) | |||||||
\(318\) | 190.298 | − | 109.869i | 0.598422 | − | 0.345499i | ||||
\(319\) | −231.706 | + | 133.775i | −0.726350 | + | 0.419358i | ||||
\(320\) | − | 7.00179i | − | 0.0218806i | ||||||
\(321\) | 46.0390i | 0.143424i | ||||||||
\(322\) | −180.443 | − | 312.537i | −0.560383 | − | 0.970611i | ||||
\(323\) | 18.7360 | − | 32.4518i | 0.0580063 | − | 0.100470i | ||||
\(324\) | 1.22973 | − | 2.12996i | 0.00379548 | − | 0.00657396i | ||||
\(325\) | 99.7078 | − | 57.5663i | 0.306793 | − | 0.177127i | ||||
\(326\) | − | 355.888i | − | 1.09168i | ||||||
\(327\) | 109.827 | 0.335864 | ||||||||
\(328\) | −260.754 | + | 451.639i | −0.794981 | + | 1.37695i | ||||
\(329\) | −179.020 | + | 103.357i | −0.544135 | + | 0.314156i | ||||
\(330\) | −3.80495 | −0.0115302 | ||||||||
\(331\) | −321.162 | − | 185.423i | −0.970279 | − | 0.560191i | −0.0709576 | − | 0.997479i | \(-0.522606\pi\) |
−0.899321 | + | 0.437289i | \(0.855939\pi\) | |||||||
\(332\) | −29.9632 | −0.0902507 | ||||||||
\(333\) | −10.8931 | − | 18.8674i | −0.0327120 | − | 0.0566589i | ||||
\(334\) | 467.786i | 1.40056i | ||||||||
\(335\) | 2.68197 | − | 7.47798i | 0.00800589 | − | 0.0223223i | ||||
\(336\) | 142.537 | 0.424216 | ||||||||
\(337\) | 430.696 | − | 248.662i | 1.27803 | − | 0.737870i | 0.301543 | − | 0.953452i | \(-0.402498\pi\) |
0.976486 | + | 0.215582i | \(0.0691648\pi\) | |||||||
\(338\) | − | 305.463i | − | 0.903737i | ||||||
\(339\) | −1.09189 | + | 1.89121i | −0.00322091 | + | 0.00557878i | ||||
\(340\) | − | 0.218987i | − | 0.000644080i | ||||||
\(341\) | 3.98881 | + | 6.90883i | 0.0116974 | + | 0.0202605i | ||||
\(342\) | 29.7786 | + | 17.1927i | 0.0870721 | + | 0.0502711i | ||||
\(343\) | 360.817i | 1.05194i | ||||||||
\(344\) | −33.3363 | −0.0969080 | ||||||||
\(345\) | 3.70731 | + | 6.42125i | 0.0107458 | + | 0.0186123i | ||||
\(346\) | −379.644 | − | 219.187i | −1.09724 | − | 0.633490i | ||||
\(347\) | −94.0307 | − | 54.2887i | −0.270982 | − | 0.156451i | 0.358352 | − | 0.933587i | \(-0.383339\pi\) |
−0.629334 | + | 0.777135i | \(0.716672\pi\) | |||||||
\(348\) | 12.2369 | − | 7.06499i | 0.0351636 | − | 0.0203017i | ||||
\(349\) | −72.0314 | −0.206394 | −0.103197 | − | 0.994661i | \(-0.532907\pi\) | ||||
−0.103197 | + | 0.994661i | \(0.532907\pi\) | |||||||
\(350\) | 249.760 | 0.713600 | ||||||||
\(351\) | −11.9717 | − | 20.7355i | −0.0341073 | − | 0.0590756i | ||||
\(352\) | 19.5600 | + | 33.8789i | 0.0555681 | + | 0.0962468i | ||||
\(353\) | −390.805 | + | 225.631i | −1.10710 | + | 0.639182i | −0.938076 | − | 0.346431i | \(-0.887394\pi\) |
−0.169020 | + | 0.985613i | \(0.554060\pi\) | |||||||
\(354\) | 81.3001 | + | 140.816i | 0.229661 | + | 0.397785i | ||||
\(355\) | −7.96123 | − | 4.59642i | −0.0224260 | − | 0.0129477i | ||||
\(356\) | 0.770434 | − | 1.33443i | 0.00216414 | − | 0.00374840i | ||||
\(357\) | −56.6034 | −0.158553 | ||||||||
\(358\) | −61.1552 | − | 105.924i | −0.170825 | − | 0.295877i | ||||
\(359\) | −271.625 | −0.756617 | −0.378308 | − | 0.925680i | \(-0.623494\pi\) | ||||
−0.378308 | + | 0.925680i | \(0.623494\pi\) | |||||||
\(360\) | −2.74040 | −0.00761222 | ||||||||
\(361\) | 165.129 | − | 286.011i | 0.457420 | − | 0.792274i | ||||
\(362\) | 18.9999i | 0.0524860i | ||||||||
\(363\) | 61.0135 | − | 35.2262i | 0.168081 | − | 0.0970418i | ||||
\(364\) | −3.04452 | + | 5.27326i | −0.00836406 | + | 0.0144870i | ||||
\(365\) | −3.56587 | + | 2.05876i | −0.00976951 | + | 0.00564043i | ||||
\(366\) | 174.696 | + | 100.861i | 0.477311 | + | 0.275576i | ||||
\(367\) | −181.688 | − | 104.898i | −0.495063 | − | 0.285825i | 0.231609 | − | 0.972809i | \(-0.425601\pi\) |
−0.726673 | + | 0.686984i | \(0.758934\pi\) | |||||||
\(368\) | 307.208 | − | 532.100i | 0.834805 | − | 1.44592i | ||||
\(369\) | 175.875 | + | 101.542i | 0.476627 | + | 0.275181i | ||||
\(370\) | 0.890011 | − | 1.54155i | 0.00240544 | − | 0.00416634i | ||||
\(371\) | 148.382 | − | 257.004i | 0.399950 | − | 0.692734i | ||||
\(372\) | −0.210659 | − | 0.364872i | −0.000566287 | − | 0.000980838i | ||||
\(373\) | −48.3202 | − | 27.8977i | −0.129545 | − | 0.0747926i | 0.433827 | − | 0.900996i | \(-0.357163\pi\) |
−0.563372 | + | 0.826203i | \(0.690496\pi\) | |||||||
\(374\) | −62.6050 | − | 108.435i | −0.167393 | − | 0.289933i | ||||
\(375\) | −10.2658 | −0.0273755 | ||||||||
\(376\) | −285.209 | − | 164.666i | −0.758535 | − | 0.437941i | ||||
\(377\) | − | 137.558i | − | 0.364875i | ||||||
\(378\) | − | 51.9408i | − | 0.137410i | ||||||
\(379\) | 560.088 | − | 323.367i | 1.47781 | − | 0.853212i | 0.478120 | − | 0.878294i | \(-0.341318\pi\) |
0.999685 | + | 0.0250828i | \(0.00798493\pi\) | |||||||
\(380\) | 0.179662i | 0.000472795i | ||||||||
\(381\) | 187.135 | + | 108.042i | 0.491168 | + | 0.283576i | ||||
\(382\) | 370.224 | − | 641.247i | 0.969174 | − | 1.67866i | ||||
\(383\) | −61.4972 | + | 35.5054i | −0.160567 | + | 0.0927034i | −0.578130 | − | 0.815944i | \(-0.696218\pi\) |
0.417563 | + | 0.908648i | \(0.362884\pi\) | |||||||
\(384\) | 120.835 | + | 209.293i | 0.314675 | + | 0.545033i | ||||
\(385\) | −4.45026 | + | 2.56936i | −0.0115591 | + | 0.00667366i | ||||
\(386\) | −385.826 | + | 222.756i | −0.999548 | + | 0.577089i | ||||
\(387\) | 12.9817i | 0.0335444i | ||||||||
\(388\) | − | 18.2506i | − | 0.0470377i | ||||||
\(389\) | 236.358 | + | 409.384i | 0.607604 | + | 1.05240i | 0.991634 | + | 0.129080i | \(0.0412025\pi\) |
−0.384030 | + | 0.923321i | \(0.625464\pi\) | |||||||
\(390\) | 0.978135 | − | 1.69418i | 0.00250804 | − | 0.00434405i | ||||
\(391\) | −121.997 | + | 211.305i | −0.312012 | + | 0.540421i | ||||
\(392\) | −170.912 | + | 98.6762i | −0.436000 | + | 0.251725i | ||||
\(393\) | − | 20.1964i | − | 0.0513903i | ||||||
\(394\) | −278.572 | −0.707035 | ||||||||
\(395\) | 5.57646 | − | 9.65871i | 0.0141176 | − | 0.0244524i | ||||
\(396\) | 6.36318 | − | 3.67378i | 0.0160686 | − | 0.00927723i | ||||
\(397\) | 746.333 | 1.87993 | 0.939965 | − | 0.341270i | \(-0.110857\pi\) | ||||
0.939965 | + | 0.341270i | \(0.110857\pi\) | |||||||
\(398\) | −561.837 | − | 324.377i | −1.41165 | − | 0.815016i | ||||
\(399\) | 46.4387 | 0.116388 | ||||||||
\(400\) | 212.611 | + | 368.252i | 0.531526 | + | 0.920631i | ||||
\(401\) | − | 164.319i | − | 0.409773i | −0.978786 | − | 0.204886i | \(-0.934318\pi\) | ||
0.978786 | − | 0.204886i | \(-0.0656825\pi\) | |||||||
\(402\) | 42.7681 | + | 236.049i | 0.106388 | + | 0.587186i | ||||
\(403\) | −4.10160 | −0.0101777 | ||||||||
\(404\) | 3.96294 | − | 2.28800i | 0.00980926 | − | 0.00566338i | ||||
\(405\) | 1.06715i | 0.00263495i | ||||||||
\(406\) | 149.204 | − | 258.428i | 0.367497 | − | 0.636523i | ||||
\(407\) | − | 65.0854i | − | 0.159915i | ||||||
\(408\) | −45.0893 | − | 78.0970i | −0.110513 | − | 0.191414i | ||||
\(409\) | −102.531 | − | 59.1961i | −0.250686 | − | 0.144734i | 0.369392 | − | 0.929274i | \(-0.379566\pi\) |
−0.620078 | + | 0.784540i | \(0.712899\pi\) | |||||||
\(410\) | 16.5927i | 0.0404701i | ||||||||
\(411\) | −140.277 | −0.341307 | ||||||||
\(412\) | −5.34490 | − | 9.25764i | −0.0129731 | − | 0.0224700i | ||||
\(413\) | 190.177 | + | 109.799i | 0.460477 | + | 0.265856i | ||||
\(414\) | −193.899 | − | 111.948i | −0.468355 | − | 0.270405i | ||||
\(415\) | 11.2591 | − | 6.50047i | 0.0271305 | − | 0.0156638i | ||||
\(416\) | −20.1130 | −0.0483486 | ||||||||
\(417\) | 24.9079 | 0.0597311 | ||||||||
\(418\) | 51.3625 | + | 88.9625i | 0.122877 | + | 0.212829i | ||||
\(419\) | 52.7821 | + | 91.4213i | 0.125972 | + | 0.218189i | 0.922112 | − | 0.386922i | \(-0.126462\pi\) |
−0.796141 | + | 0.605112i | \(0.793129\pi\) | |||||||
\(420\) | 0.235029 | − | 0.135694i | 0.000559593 | − | 0.000323081i | ||||
\(421\) | −30.2089 | − | 52.3234i | −0.0717552 | − | 0.124284i | 0.827915 | − | 0.560853i | \(-0.189527\pi\) |
−0.899671 | + | 0.436569i | \(0.856193\pi\) | |||||||
\(422\) | −176.267 | − | 101.768i | −0.417694 | − | 0.241156i | ||||
\(423\) | −64.1234 | + | 111.065i | −0.151592 | + | 0.262565i | ||||
\(424\) | 472.793 | 1.11508 | ||||||||
\(425\) | −84.4308 | − | 146.238i | −0.198661 | − | 0.344090i | ||||
\(426\) | 277.591 | 0.651623 | ||||||||
\(427\) | 272.432 | 0.638013 | ||||||||
\(428\) | 3.63190 | − | 6.29064i | 0.00848576 | − | 0.0146978i | ||||
\(429\) | − | 71.5298i | − | 0.166736i | ||||||
\(430\) | −0.918557 | + | 0.530329i | −0.00213618 | + | 0.00123332i | ||||
\(431\) | −169.159 | + | 292.992i | −0.392480 | + | 0.679795i | −0.992776 | − | 0.119983i | \(-0.961716\pi\) |
0.600296 | + | 0.799778i | \(0.295049\pi\) | |||||||
\(432\) | 76.5829 | − | 44.2151i | 0.177275 | − | 0.102350i | ||||
\(433\) | −479.598 | − | 276.896i | −1.10762 | − | 0.639483i | −0.169405 | − | 0.985546i | \(-0.554185\pi\) |
−0.938211 | + | 0.346064i | \(0.887518\pi\) | |||||||
\(434\) | −7.70563 | − | 4.44884i | −0.0177549 | − | 0.0102508i | ||||
\(435\) | −3.06548 | + | 5.30956i | −0.00704707 | + | 0.0122059i | ||||
\(436\) | −15.0065 | − | 8.66402i | −0.0344186 | − | 0.0198716i | ||||
\(437\) | 100.089 | − | 173.359i | 0.229036 | − | 0.396703i | ||||
\(438\) | 62.1671 | − | 107.677i | 0.141934 | − | 0.245837i | ||||
\(439\) | 108.993 | + | 188.782i | 0.248277 | + | 0.430028i | 0.963048 | − | 0.269331i | \(-0.0868025\pi\) |
−0.714771 | + | 0.699358i | \(0.753469\pi\) | |||||||
\(440\) | −7.09001 | − | 4.09342i | −0.0161137 | − | 0.00930323i | ||||
\(441\) | 38.4261 | + | 66.5559i | 0.0871339 | + | 0.150920i | ||||
\(442\) | 64.3752 | 0.145645 | ||||||||
\(443\) | −718.330 | − | 414.728i | −1.62151 | − | 0.936180i | −0.986516 | − | 0.163664i | \(-0.947669\pi\) |
−0.634996 | − | 0.772516i | \(-0.718998\pi\) | |||||||
\(444\) | 3.43732i | 0.00774171i | ||||||||
\(445\) | 0.668577i | 0.00150242i | ||||||||
\(446\) | 584.748 | − | 337.604i | 1.31109 | − | 0.756961i | ||||
\(447\) | 80.0493i | 0.179081i | ||||||||
\(448\) | 247.287 | + | 142.771i | 0.551980 | + | 0.318686i | ||||
\(449\) | −96.4228 | + | 167.009i | −0.214750 | + | 0.371958i | −0.953195 | − | 0.302355i | \(-0.902227\pi\) |
0.738445 | + | 0.674314i | \(0.235560\pi\) | |||||||
\(450\) | 134.192 | − | 77.4760i | 0.298205 | − | 0.172169i | ||||
\(451\) | 303.352 | + | 525.420i | 0.672620 | + | 1.16501i | ||||
\(452\) | 0.298385 | − | 0.172273i | 0.000660144 | − | 0.000381134i | ||||
\(453\) | 3.10544 | − | 1.79293i | 0.00685528 | − | 0.00395790i | ||||
\(454\) | 119.832i | 0.263947i | ||||||||
\(455\) | − | 2.64201i | − | 0.00580662i | ||||||
\(456\) | 36.9923 | + | 64.0725i | 0.0811234 | + | 0.140510i | ||||
\(457\) | 160.049 | − | 277.213i | 0.350216 | − | 0.606592i | −0.636071 | − | 0.771630i | \(-0.719441\pi\) |
0.986287 | + | 0.165038i | \(0.0527748\pi\) | |||||||
\(458\) | −260.040 | + | 450.402i | −0.567772 | + | 0.983411i | ||||
\(459\) | −30.4122 | + | 17.5585i | −0.0662575 | + | 0.0382538i | ||||
\(460\) | − | 1.16984i | − | 0.00254313i | ||||||
\(461\) | 292.926 | 0.635415 | 0.317707 | − | 0.948189i | \(-0.397087\pi\) | ||||
0.317707 | + | 0.948189i | \(0.397087\pi\) | |||||||
\(462\) | 77.5856 | − | 134.382i | 0.167934 | − | 0.290871i | ||||
\(463\) | −400.087 | + | 230.990i | −0.864119 | + | 0.498899i | −0.865389 | − | 0.501100i | \(-0.832929\pi\) |
0.00127068 | + | 0.999999i | \(0.499596\pi\) | |||||||
\(464\) | 508.044 | 1.09492 | ||||||||
\(465\) | 0.158317 | + | 0.0914041i | 0.000340466 | + | 0.000196568i | ||||
\(466\) | −483.184 | −1.03687 | ||||||||
\(467\) | 10.7462 | + | 18.6129i | 0.0230111 | + | 0.0398563i | 0.877302 | − | 0.479939i | \(-0.159341\pi\) |
−0.854291 | + | 0.519796i | \(0.826008\pi\) | |||||||
\(468\) | 3.77766i | 0.00807193i | ||||||||
\(469\) | 209.418 | + | 247.202i | 0.446519 | + | 0.527083i | ||||
\(470\) | −10.4783 | −0.0222942 | ||||||||
\(471\) | 69.1841 | − | 39.9435i | 0.146888 | − | 0.0848057i | ||||
\(472\) | 349.855i | 0.741218i | ||||||||
\(473\) | −19.3911 | + | 33.5865i | −0.0409961 | + | 0.0710073i | ||||
\(474\) | 336.779i | 0.710504i | ||||||||
\(475\) | 69.2689 | + | 119.977i | 0.145829 | + | 0.252584i | ||||
\(476\) | 7.73412 | + | 4.46530i | 0.0162482 | + | 0.00938088i | ||||
\(477\) | − | 184.113i | − | 0.385981i | ||||||
\(478\) | 584.512 | 1.22283 | ||||||||
\(479\) | 20.7049 | + | 35.8620i | 0.0432253 | + | 0.0748684i | 0.886829 | − | 0.462098i | \(-0.152903\pi\) |
−0.843603 | + | 0.536967i | \(0.819570\pi\) | |||||||
\(480\) | 0.776338 | + | 0.448219i | 0.00161737 | + | 0.000933790i | ||||
\(481\) | 28.9797 | + | 16.7314i | 0.0602488 | + | 0.0347847i | ||||
\(482\) | 408.708 | − | 235.968i | 0.847943 | − | 0.489560i | ||||
\(483\) | −302.378 | −0.626042 | ||||||||
\(484\) | −11.1156 | −0.0229662 | ||||||||
\(485\) | 3.95945 | + | 6.85796i | 0.00816380 | + | 0.0141401i | ||||
\(486\) | −16.1122 | − | 27.9071i | −0.0331526 | − | 0.0574219i | ||||
\(487\) | −600.475 | + | 346.684i | −1.23301 | + | 0.711878i | −0.967656 | − | 0.252274i | \(-0.918822\pi\) |
−0.265352 | + | 0.964152i | \(0.585488\pi\) | |||||||
\(488\) | 217.015 | + | 375.880i | 0.444702 | + | 0.770246i | ||||
\(489\) | −258.240 | − | 149.095i | −0.528099 | − | 0.304898i | ||||
\(490\) | −3.13957 | + | 5.43789i | −0.00640728 | + | 0.0110977i | ||||
\(491\) | −288.019 | −0.586596 | −0.293298 | − | 0.956021i | \(-0.594753\pi\) | ||||
−0.293298 | + | 0.956021i | \(0.594753\pi\) | |||||||
\(492\) | −16.0207 | − | 27.7487i | −0.0325625 | − | 0.0563998i | ||||
\(493\) | −201.752 | −0.409233 | ||||||||
\(494\) | −52.8148 | −0.106913 | ||||||||
\(495\) | −1.59404 | + | 2.76096i | −0.00322029 | + | 0.00557770i | ||||
\(496\) | − | 15.1485i | − | 0.0305413i | ||||||
\(497\) | 324.670 | − | 187.448i | 0.653259 | − | 0.377160i | ||||
\(498\) | −196.291 | + | 339.986i | −0.394159 | + | 0.682703i | ||||
\(499\) | 229.489 | − | 132.496i | 0.459899 | − | 0.265523i | −0.252103 | − | 0.967700i | \(-0.581122\pi\) |
0.712002 | + | 0.702178i | \(0.247789\pi\) | |||||||
\(500\) | 1.40269 | + | 0.809845i | 0.00280538 | + | 0.00161969i | ||||
\(501\) | 339.436 | + | 195.974i | 0.677517 | + | 0.391165i | ||||
\(502\) | 197.355 | − | 341.828i | 0.393137 | − | 0.680933i | ||||
\(503\) | −542.369 | − | 313.137i | −1.07827 | − | 0.622538i | −0.147839 | − | 0.989011i | \(-0.547232\pi\) |
−0.930429 | + | 0.366473i | \(0.880565\pi\) | |||||||
\(504\) | 55.8786 | − | 96.7846i | 0.110870 | − | 0.192033i | ||||
\(505\) | −0.992757 | + | 1.71951i | −0.00196586 | + | 0.00340496i | ||||
\(506\) | −334.439 | − | 579.266i | −0.660947 | − | 1.14479i | ||||
\(507\) | −221.651 | − | 127.970i | −0.437181 | − | 0.252407i | ||||
\(508\) | −17.0464 | − | 29.5252i | −0.0335559 | − | 0.0581205i | ||||
\(509\) | −926.021 | −1.81929 | −0.909647 | − | 0.415382i | \(-0.863648\pi\) | ||||
−0.909647 | + | 0.415382i | \(0.863648\pi\) | |||||||
\(510\) | −2.48480 | − | 1.43460i | −0.00487216 | − | 0.00281294i | ||||
\(511\) | − | 167.918i | − | 0.328606i | ||||||
\(512\) | 450.146i | 0.879191i | ||||||||
\(513\) | 24.9508 | − | 14.4054i | 0.0486371 | − | 0.0280806i | ||||
\(514\) | 587.154i | 1.14232i | ||||||||
\(515\) | 4.01686 | + | 2.31913i | 0.00779972 | + | 0.00450317i | ||||
\(516\) | 1.02409 | − | 1.77378i | 0.00198468 | − | 0.00343756i | ||||
\(517\) | −331.802 | + | 191.566i | −0.641784 | + | 0.370534i | ||||
\(518\) | 36.2959 | + | 62.8663i | 0.0700693 | + | 0.121364i | ||||
\(519\) | −318.095 | + | 183.652i | −0.612899 | + | 0.353858i | ||||
\(520\) | 3.64524 | − | 2.10458i | 0.00701008 | − | 0.00404727i | ||||
\(521\) | 428.775i | 0.822984i | 0.911413 | + | 0.411492i | \(0.134992\pi\) | ||||
−0.911413 | + | 0.411492i | \(0.865008\pi\) | |||||||
\(522\) | − | 185.133i | − | 0.354661i | ||||||
\(523\) | 407.049 | + | 705.030i | 0.778297 | + | 1.34805i | 0.932922 | + | 0.360077i | \(0.117250\pi\) |
−0.154625 | + | 0.987973i | \(0.549417\pi\) | |||||||
\(524\) | −1.59324 | + | 2.75957i | −0.00304054 | + | 0.00526636i | ||||
\(525\) | 104.634 | − | 181.231i | 0.199303 | − | 0.345203i | ||||
\(526\) | −701.424 | + | 404.967i | −1.33351 | + | 0.769900i | ||||
\(527\) | 6.01569i | 0.0114150i | ||||||||
\(528\) | 264.182 | 0.500345 | ||||||||
\(529\) | −387.214 | + | 670.674i | −0.731973 | + | 1.26781i | ||||
\(530\) | 13.0274 | − | 7.52140i | 0.0245801 | − | 0.0141913i | ||||
\(531\) | 136.239 | 0.256571 | ||||||||
\(532\) | −6.34525 | − | 3.66343i | −0.0119272 | − | 0.00688615i | ||||
\(533\) | −311.929 | −0.585233 | ||||||||
\(534\) | −10.0943 | − | 17.4839i | −0.0189032 | − | 0.0327414i | ||||
\(535\) | 3.15174i | 0.00589110i | ||||||||
\(536\) | −174.252 | + | 485.855i | −0.325097 | + | 0.906446i | ||||
\(537\) | −102.481 | −0.190840 | ||||||||
\(538\) | −587.229 | + | 339.037i | −1.09150 | + | 0.630180i | ||||
\(539\) | 229.593i | 0.425960i | ||||||||
\(540\) | 0.0841852 | − | 0.145813i | 0.000155899 | − | 0.000270024i | ||||
\(541\) | 397.388i | 0.734543i | 0.930114 | + | 0.367271i | \(0.119708\pi\) | ||||
−0.930114 | + | 0.367271i | \(0.880292\pi\) | |||||||
\(542\) | −165.137 | − | 286.026i | −0.304681 | − | 0.527723i | ||||
\(543\) | 13.7868 | + | 7.95980i | 0.0253900 | + | 0.0146589i | ||||
\(544\) | 29.4992i | 0.0542264i | ||||||||
\(545\) | 7.51857 | 0.0137955 | ||||||||
\(546\) | 39.8897 | + | 69.0909i | 0.0730580 | + | 0.126540i | ||||
\(547\) | −431.563 | − | 249.163i | −0.788964 | − | 0.455509i | 0.0506337 | − | 0.998717i | \(-0.483876\pi\) |
−0.839598 | + | 0.543209i | \(0.817209\pi\) | |||||||
\(548\) | 19.1671 | + | 11.0661i | 0.0349765 | + | 0.0201937i | ||||
\(549\) | 146.374 | − | 84.5089i | 0.266619 | − | 0.153932i | ||||
\(550\) | 462.913 | 0.841660 | ||||||||
\(551\) | 165.522 | 0.300402 | ||||||||
\(552\) | −240.870 | − | 417.198i | −0.436358 | − | 0.755794i | ||||
\(553\) | 227.416 | + | 393.895i | 0.411240 | + | 0.712288i | ||||
\(554\) | −709.633 | + | 409.707i | −1.28093 | + | 0.739543i | ||||
\(555\) | −0.745720 | − | 1.29163i | −0.00134364 | − | 0.00232725i | ||||
\(556\) | −3.40334 | − | 1.96492i | −0.00612111 | − | 0.00353403i | ||||
\(557\) | 424.875 | − | 735.906i | 0.762792 | − | 1.32120i | −0.178613 | − | 0.983919i | \(-0.557161\pi\) |
0.941406 | − | 0.337276i | \(-0.109506\pi\) | |||||||
\(558\) | −5.52016 | −0.00989276 | ||||||||
\(559\) | −9.96972 | − | 17.2681i | −0.0178349 | − | 0.0308910i | ||||
\(560\) | 9.75778 | 0.0174246 | ||||||||
\(561\) | −104.911 | −0.187006 | ||||||||
\(562\) | 68.0345 | − | 117.839i | 0.121058 | − | 0.209678i | ||||
\(563\) | − | 351.391i | − | 0.624141i | −0.950059 | − | 0.312071i | \(-0.898977\pi\) | ||
0.950059 | − | 0.312071i | \(-0.101023\pi\) | |||||||
\(564\) | 17.5233 | − | 10.1171i | 0.0310696 | − | 0.0179381i | ||||
\(565\) | −0.0747485 | + | 0.129468i | −0.000132298 | + | 0.000229147i | ||||
\(566\) | −934.221 | + | 539.373i | −1.65057 | + | 0.952956i | ||||
\(567\) | −37.6894 | − | 21.7600i | −0.0664717 | − | 0.0383774i | ||||
\(568\) | 517.253 | + | 298.636i | 0.910657 | + | 0.525768i | ||||
\(569\) | 142.495 | − | 246.808i | 0.250430 | − | 0.433758i | −0.713214 | − | 0.700946i | \(-0.752761\pi\) |
0.963644 | + | 0.267189i | \(0.0860946\pi\) | |||||||
\(570\) | 2.03859 | + | 1.17698i | 0.00357647 | + | 0.00206487i | ||||
\(571\) | 83.3463 | − | 144.360i | 0.145965 | − | 0.252820i | −0.783767 | − | 0.621055i | \(-0.786704\pi\) |
0.929733 | + | 0.368235i | \(0.120038\pi\) | |||||||
\(572\) | −5.64281 | + | 9.77363i | −0.00986505 | + | 0.0170868i | ||||
\(573\) | −310.202 | − | 537.286i | −0.541366 | − | 0.937673i | ||||
\(574\) | −586.017 | − | 338.337i | −1.02094 | − | 0.589438i | ||||
\(575\) | −451.034 | − | 781.214i | −0.784407 | − | 1.35863i | ||||
\(576\) | 177.152 | 0.307555 | ||||||||
\(577\) | −573.576 | − | 331.154i | −0.994066 | − | 0.573924i | −0.0875787 | − | 0.996158i | \(-0.527913\pi\) |
−0.906487 | + | 0.422233i | \(0.861246\pi\) | |||||||
\(578\) | 503.001i | 0.870244i | ||||||||
\(579\) | 373.285i | 0.644706i | ||||||||
\(580\) | 0.837716 | − | 0.483655i | 0.00144434 | − | 0.000833889i | ||||
\(581\) | 530.196i | 0.912557i | ||||||||
\(582\) | −207.086 | − | 119.561i | −0.355818 | − | 0.205432i | ||||
\(583\) | 275.015 | − | 476.340i | 0.471724 | − | 0.817050i | ||||
\(584\) | 231.680 | − | 133.760i | 0.396712 | − | 0.229042i | ||||
\(585\) | −0.819557 | − | 1.41951i | −0.00140095 | − | 0.00242652i | ||||
\(586\) | 770.799 | − | 445.021i | 1.31536 | − | 0.759422i | ||||
\(587\) | 643.066 | − | 371.274i | 1.09551 | − | 0.632494i | 0.160474 | − | 0.987040i | \(-0.448698\pi\) |
0.935039 | + | 0.354546i | \(0.115364\pi\) | |||||||
\(588\) | − | 12.1253i | − | 0.0206213i | ||||||
\(589\) | − | 4.93541i | − | 0.00837930i | ||||||
\(590\) | 5.56565 | + | 9.63998i | 0.00943330 | + | 0.0163390i | ||||
\(591\) | −116.704 | + | 202.138i | −0.197470 | + | 0.342027i | ||||
\(592\) | −61.7944 | + | 107.031i | −0.104383 | + | 0.180796i | ||||
\(593\) | −435.635 | + | 251.514i | −0.734628 | + | 0.424138i | −0.820113 | − | 0.572202i | \(-0.806089\pi\) |
0.0854847 | + | 0.996339i | \(0.472756\pi\) | |||||||
\(594\) | − | 96.2688i | − | 0.162069i | ||||||
\(595\) | −3.87495 | −0.00651253 | ||||||||
\(596\) | 6.31489 | − | 10.9377i | 0.0105955 | − | 0.0183519i | ||||
\(597\) | −470.750 | + | 271.788i | −0.788526 | + | 0.455256i | ||||
\(598\) | 343.896 | 0.575076 | ||||||||
\(599\) | 837.444 | + | 483.498i | 1.39807 | + | 0.807176i | 0.994190 | − | 0.107636i | \(-0.0343282\pi\) |
0.403879 | + | 0.914812i | \(0.367662\pi\) | |||||||
\(600\) | 333.399 | 0.555665 | ||||||||
\(601\) | 149.764 | + | 259.399i | 0.249192 | + | 0.431613i | 0.963302 | − | 0.268421i | \(-0.0865017\pi\) |
−0.714110 | + | 0.700033i | \(0.753168\pi\) | |||||||
\(602\) | − | 43.2551i | − | 0.0718523i | ||||||
\(603\) | 189.200 | + | 67.8564i | 0.313764 | + | 0.112531i | ||||
\(604\) | −0.565759 | −0.000936686 | ||||||||
\(605\) | 4.17687 | − | 2.41152i | 0.00690391 | − | 0.00398598i | ||||
\(606\) | − | 59.9555i | − | 0.0989364i | ||||||
\(607\) | 132.150 | − | 228.891i | 0.217710 | − | 0.377085i | −0.736397 | − | 0.676549i | \(-0.763475\pi\) |
0.954108 | + | 0.299464i | \(0.0968079\pi\) | |||||||
\(608\) | − | 24.2018i | − | 0.0398056i | ||||||
\(609\) | −125.014 | − | 216.531i | −0.205278 | − | 0.355552i | ||||
\(610\) | 11.9593 | + | 6.90473i | 0.0196055 | + | 0.0113192i | ||||
\(611\) | − | 196.983i | − | 0.322394i | ||||||
\(612\) | 5.54058 | 0.00905323 | ||||||||
\(613\) | −13.0608 | − | 22.6221i | −0.0213064 | − | 0.0369038i | 0.855176 | − | 0.518338i | \(-0.173449\pi\) |
−0.876482 | + | 0.481435i | \(0.840116\pi\) | |||||||
\(614\) | 877.105 | + | 506.397i | 1.42851 | + | 0.824751i | ||||
\(615\) | 12.0401 | + | 6.95134i | 0.0195774 | + | 0.0113030i | ||||
\(616\) | 289.140 | − | 166.935i | 0.469384 | − | 0.270999i | ||||
\(617\) | −315.081 | −0.510666 | −0.255333 | − | 0.966853i | \(-0.582185\pi\) | ||||
−0.255333 | + | 0.966853i | \(0.582185\pi\) | |||||||
\(618\) | −140.059 | −0.226633 | ||||||||
\(619\) | −336.052 | − | 582.058i | −0.542894 | − | 0.940320i | −0.998736 | − | 0.0502597i | \(-0.983995\pi\) |
0.455842 | − | 0.890061i | \(-0.349338\pi\) | |||||||
\(620\) | −0.0144213 | − | 0.0249784i | −2.32601e−5 | − | 4.02877e-5i | ||||
\(621\) | −162.464 | + | 93.7984i | −0.261616 | + | 0.151044i | ||||
\(622\) | −73.5119 | − | 127.326i | −0.118186 | − | 0.204705i | ||||
\(623\) | −23.6126 | − | 13.6327i | −0.0379015 | − | 0.0218824i | ||||
\(624\) | −67.9130 | + | 117.629i | −0.108835 | + | 0.188508i | ||||
\(625\) | 623.946 | 0.998313 | ||||||||
\(626\) | 217.641 | + | 376.965i | 0.347669 | + | 0.602180i | ||||
\(627\) | 86.0710 | 0.137274 | ||||||||
\(628\) | −12.6042 | −0.0200703 | ||||||||
\(629\) | 24.5395 | − | 42.5036i | 0.0390135 | − | 0.0675733i | ||||
\(630\) | − | 3.55577i | − | 0.00564407i | ||||||
\(631\) | −32.0022 | + | 18.4765i | −0.0507167 | + | 0.0292813i | −0.525144 | − | 0.851013i | \(-0.675989\pi\) |
0.474427 | + | 0.880295i | \(0.342655\pi\) | |||||||
\(632\) | −362.311 | + | 627.541i | −0.573277 | + | 0.992945i | ||||
\(633\) | −147.690 | + | 85.2688i | −0.233317 | + | 0.134706i | ||||
\(634\) | −128.602 | − | 74.2481i | −0.202841 | − | 0.117111i | ||||
\(635\) | 12.8109 | + | 7.39637i | 0.0201746 | + | 0.0116478i | ||||
\(636\) | −14.5242 | + | 25.1567i | −0.0228368 | + | 0.0395545i | ||||
\(637\) | −102.228 | − | 59.0211i | −0.160483 | − | 0.0926548i | ||||
\(638\) | 276.539 | − | 478.979i | 0.433446 | − | 0.750751i | ||||
\(639\) | 116.294 | − | 201.427i | 0.181993 | − | 0.315222i | ||||
\(640\) | 8.27213 | + | 14.3278i | 0.0129252 | + | 0.0223871i | ||||
\(641\) | 446.680 | + | 257.891i | 0.696849 | + | 0.402326i | 0.806173 | − | 0.591680i | \(-0.201535\pi\) |
−0.109324 | + | 0.994006i | \(0.534868\pi\) | |||||||
\(642\) | −47.5857 | − | 82.4209i | −0.0741210 | − | 0.128381i | ||||
\(643\) | 367.612 | 0.571714 | 0.285857 | − | 0.958272i | \(-0.407722\pi\) | ||||
0.285857 | + | 0.958272i | \(0.407722\pi\) | |||||||
\(644\) | 41.3161 | + | 23.8539i | 0.0641555 | + | 0.0370402i | ||||
\(645\) | 0.888701i | 0.00137783i | ||||||||
\(646\) | 77.4619i | 0.119910i | ||||||||
\(647\) | 955.380 | − | 551.589i | 1.47663 | − | 0.852533i | 0.476979 | − | 0.878915i | \(-0.341732\pi\) |
0.999652 | + | 0.0263812i | \(0.00839837\pi\) | |||||||
\(648\) | − | 69.3346i | − | 0.106998i | ||||||
\(649\) | 352.480 | + | 203.504i | 0.543112 | + | 0.313566i | ||||
\(650\) | −119.001 | + | 206.115i | −0.183078 | + | 0.317100i | ||||
\(651\) | −6.45637 | + | 3.72758i | −0.00991761 | + | 0.00572594i | ||||
\(652\) | 23.5235 | + | 40.7439i | 0.0360789 | + | 0.0624906i | ||||
\(653\) | −69.2618 | + | 39.9883i | −0.106067 | + | 0.0612379i | −0.552095 | − | 0.833781i | \(-0.686171\pi\) |
0.446028 | + | 0.895019i | \(0.352838\pi\) | |||||||
\(654\) | −196.617 | + | 113.517i | −0.300638 | + | 0.173574i | ||||
\(655\) | − | 1.38260i | − | 0.00211084i | ||||||
\(656\) | − | 1152.05i | − | 1.75618i | ||||||
\(657\) | −52.0884 | − | 90.2198i | −0.0792822 | − | 0.137321i | ||||
\(658\) | 213.660 | − | 370.069i | 0.324711 | − | 0.562415i | ||||
\(659\) | 555.874 | − | 962.802i | 0.843512 | − | 1.46101i | −0.0433956 | − | 0.999058i | \(-0.513818\pi\) |
0.886907 | − | 0.461947i | \(-0.152849\pi\) | |||||||
\(660\) | 0.435611 | − | 0.251500i | 0.000660016 | − | 0.000381061i | ||||
\(661\) | − | 836.224i | − | 1.26509i | −0.774524 | − | 0.632544i | \(-0.782011\pi\) | ||
0.774524 | − | 0.632544i | \(-0.217989\pi\) | |||||||
\(662\) | 766.610 | 1.15802 | ||||||||
\(663\) | 26.9692 | − | 46.7121i | 0.0406776 | − | 0.0704556i | ||||
\(664\) | −731.523 | + | 422.345i | −1.10169 | + | 0.636062i | ||||
\(665\) | 3.17910 | 0.00478060 | ||||||||
\(666\) | 39.0025 | + | 22.5181i | 0.0585623 | + | 0.0338110i | ||||
\(667\) | −1077.77 | −1.61585 | ||||||||
\(668\) | −30.9197 | − | 53.5545i | −0.0462870 | − | 0.0801715i | ||||
\(669\) | − | 565.742i | − | 0.845653i | ||||||
\(670\) | 2.92782 | + | 16.1594i | 0.00436988 | + | 0.0241186i | ||||
\(671\) | 504.934 | 0.752510 | ||||||||
\(672\) | −31.6601 | + | 18.2790i | −0.0471133 | + | 0.0272009i | ||||
\(673\) | − | 404.439i | − | 0.600950i | −0.953790 | − | 0.300475i | \(-0.902855\pi\) | ||
0.953790 | − | 0.300475i | \(-0.0971451\pi\) | |||||||
\(674\) | −514.032 | + | 890.330i | −0.762659 | + | 1.32096i | ||||
\(675\) | − | 129.831i | − | 0.192342i | ||||||
\(676\) | 20.1905 | + | 34.9710i | 0.0298676 | + | 0.0517322i | ||||
\(677\) | 971.862 | + | 561.105i | 1.43554 | + | 0.828811i | 0.997536 | − | 0.0701605i | \(-0.0223511\pi\) |
0.438007 | + | 0.898972i | \(0.355684\pi\) | |||||||
\(678\) | − | 4.51428i | − | 0.00665823i | ||||||
\(679\) | −322.943 | −0.475616 | ||||||||
\(680\) | −3.08672 | − | 5.34636i | −0.00453930 | − | 0.00786230i | ||||
\(681\) | 86.9526 | + | 50.2021i | 0.127684 | + | 0.0737182i | ||||
\(682\) | −14.2819 | − | 8.24563i | −0.0209411 | − | 0.0120904i | ||||
\(683\) | 833.908 | − | 481.457i | 1.22095 | − | 0.704915i | 0.255829 | − | 0.966722i | \(-0.417652\pi\) |
0.965120 | + | 0.261807i | \(0.0843182\pi\) | |||||||
\(684\) | −4.54562 | −0.00664564 | ||||||||
\(685\) | −9.60311 | −0.0140191 | ||||||||
\(686\) | −372.938 | − | 645.948i | −0.543642 | − | 0.941615i | ||||
\(687\) | 217.881 | + | 377.382i | 0.317149 | + | 0.549318i | ||||
\(688\) | 63.7764 | − | 36.8213i | 0.0926982 | − | 0.0535194i | ||||
\(689\) | 141.396 | + | 244.904i | 0.205219 | + | 0.355449i | ||||
\(690\) | −13.2739 | − | 7.66372i | −0.0192376 | − | 0.0111068i | ||||
\(691\) | 580.649 | − | 1005.71i | 0.840302 | − | 1.45545i | −0.0493370 | − | 0.998782i | \(-0.515711\pi\) |
0.889639 | − | 0.456664i | \(-0.150956\pi\) | |||||||
\(692\) | 57.9514 | 0.0837448 | ||||||||
\(693\) | −65.0072 | − | 112.596i | −0.0938055 | − | 0.162476i | ||||
\(694\) | 224.450 | 0.323415 | ||||||||
\(695\) | 1.70514 | 0.00245344 | ||||||||
\(696\) | 199.169 | − | 344.970i | 0.286162 | − | 0.495647i | ||||
\(697\) | 457.497i | 0.656380i | ||||||||
\(698\) | 128.953 | − | 74.4513i | 0.184747 | − | 0.106664i | ||||
\(699\) | −202.424 | + | 350.609i | −0.289591 | + | 0.501587i | ||||
\(700\) | −28.5938 | + | 16.5086i | −0.0408483 | + | 0.0235838i | ||||
\(701\) | −247.243 | − | 142.746i | −0.352701 | − | 0.203632i | 0.313173 | − | 0.949696i | \(-0.398608\pi\) |
−0.665874 | + | 0.746064i | \(0.731941\pi\) | |||||||
\(702\) | 42.8643 | + | 24.7477i | 0.0610603 | + | 0.0352532i | ||||
\(703\) | −20.1327 | + | 34.8709i | −0.0286383 | + | 0.0496030i | ||||
\(704\) | 458.330 | + | 264.617i | 0.651037 | + | 0.375876i | ||||
\(705\) | −4.38976 | + | 7.60329i | −0.00622661 | + | 0.0107848i | ||||
\(706\) | 466.423 | − | 807.868i | 0.660655 | − | 1.14429i | ||||
\(707\) | −40.4860 | − | 70.1238i | −0.0572645 | − | 0.0991850i | ||||
\(708\) | −18.6153 | − | 10.7476i | −0.0262928 | − | 0.0151802i | ||||
\(709\) | −666.476 | − | 1154.37i | −0.940023 | − | 1.62817i | −0.765423 | − | 0.643528i | \(-0.777470\pi\) |
−0.174600 | − | 0.984639i | \(-0.555863\pi\) | |||||||
\(710\) | 19.0034 | 0.0267653 | ||||||||
\(711\) | 244.374 | + | 141.090i | 0.343705 | + | 0.198438i | ||||
\(712\) | − | 43.4385i | − | 0.0610091i | ||||||
\(713\) | 32.1361i | 0.0450717i | ||||||||
\(714\) | 101.334 | − | 58.5050i | 0.141924 | − | 0.0819397i | ||||
\(715\) | − | 4.89679i | − | 0.00684865i | ||||||
\(716\) | 14.0027 | + | 8.08447i | 0.0195569 | + | 0.0112912i | ||||
\(717\) | 244.875 | − | 424.135i | 0.341527 | − | 0.591541i | ||||
\(718\) | 486.274 | − | 280.751i | 0.677262 | − | 0.391018i | ||||
\(719\) | −140.056 | − | 242.585i | −0.194793 | − | 0.337392i | 0.752039 | − | 0.659118i | \(-0.229070\pi\) |
−0.946833 | + | 0.321726i | \(0.895737\pi\) | |||||||
\(720\) | 5.24271 | − | 3.02688i | 0.00728155 | − | 0.00420400i | ||||
\(721\) | −163.813 | + | 94.5774i | −0.227202 | + | 0.131175i | ||||
\(722\) | 682.704i | 0.945574i | ||||||||
\(723\) | − | 395.424i | − | 0.546921i | ||||||
\(724\) | −1.25586 | − | 2.17521i | −0.00173461 | − | 0.00300443i | ||||
\(725\) | 372.948 | − | 645.964i | 0.514411 | − | 0.890985i | ||||
\(726\) | −72.8192 | + | 126.127i | −0.100302 | + | 0.173728i | ||||
\(727\) | −924.524 | + | 533.774i | −1.27170 | + | 0.734215i | −0.975307 | − | 0.220852i | \(-0.929116\pi\) |
−0.296391 | + | 0.955067i | \(0.595783\pi\) | |||||||
\(728\) | 171.655i | 0.235790i | ||||||||
\(729\) | −27.0000 | −0.0370370 | ||||||||
\(730\) | 4.25584 | − | 7.37133i | 0.00582992 | − | 0.0100977i | ||||
\(731\) | −25.3265 | + | 14.6223i | −0.0346464 | + | 0.0200031i | ||||
\(732\) | −26.6668 | −0.0364300 | ||||||||
\(733\) | −689.637 | − | 398.162i | −0.940841 | − | 0.543195i | −0.0506174 | − | 0.998718i | \(-0.516119\pi\) |
−0.890224 | + | 0.455523i | \(0.849452\pi\) | |||||||
\(734\) | 433.687 | 0.590855 | ||||||||
\(735\) | 2.63057 | + | 4.55628i | 0.00357901 | + | 0.00619903i | ||||
\(736\) | 157.586i | 0.214112i | ||||||||
\(737\) | 388.141 | + | 458.173i | 0.526650 | + | 0.621672i | ||||
\(738\) | −419.812 | −0.568850 | ||||||||
\(739\) | 593.144 | − | 342.452i | 0.802631 | − | 0.463399i | −0.0417595 | − | 0.999128i | \(-0.513296\pi\) |
0.844390 | + | 0.535729i | \(0.179963\pi\) | |||||||
\(740\) | 0.235312i | 0.000317989i | ||||||||
\(741\) | −22.1262 | + | 38.3236i | −0.0298599 | + | 0.0517188i | ||||
\(742\) | 613.466i | 0.826773i | ||||||||
\(743\) | 243.555 | + | 421.849i | 0.327799 | + | 0.567765i | 0.982075 | − | 0.188491i | \(-0.0603597\pi\) |
−0.654276 | + | 0.756256i | \(0.727026\pi\) | |||||||
\(744\) | −10.2861 | − | 5.93866i | −0.0138254 | − | 0.00798207i | ||||
\(745\) | 5.48002i | 0.00735573i | ||||||||
\(746\) | 115.339 | 0.154611 | ||||||||
\(747\) | 164.468 | + | 284.867i | 0.220171 | + | 0.381348i | ||||
\(748\) | 14.3347 | + | 8.27613i | 0.0191640 | + | 0.0110643i | ||||
\(749\) | −111.312 | − | 64.2661i | −0.148614 | − | 0.0858026i | ||||
\(750\) | 18.3783 | − | 10.6107i | 0.0245044 | − | 0.0141476i | ||||
\(751\) | −605.727 | −0.806560 | −0.403280 | − | 0.915077i | \(-0.632130\pi\) | ||||
−0.403280 | + | 0.915077i | \(0.632130\pi\) | |||||||
\(752\) | 727.519 | 0.967446 | ||||||||
\(753\) | −165.359 | − | 286.410i | −0.219600 | − | 0.380359i | ||||
\(754\) | 142.179 | + | 246.261i | 0.188566 | + | 0.326606i | ||||
\(755\) | 0.212592 | − | 0.122740i | 0.000281579 | − | 0.000162570i | ||||
\(756\) | 3.43319 | + | 5.94645i | 0.00454125 | + | 0.00786568i | ||||
\(757\) | −568.176 | − | 328.036i | −0.750563 | − | 0.433338i | 0.0753346 | − | 0.997158i | \(-0.475998\pi\) |
−0.825897 | + | 0.563821i | \(0.809331\pi\) | |||||||
\(758\) | −668.461 | + | 1157.81i | −0.881875 | + | 1.52745i | ||||
\(759\) | −560.438 | −0.738390 | ||||||||
\(760\) | 2.53242 | + | 4.38628i | 0.00333213 | + | 0.00577142i | ||||
\(761\) | 38.1467 | 0.0501270 | 0.0250635 | − | 0.999686i | \(-0.492021\pi\) | ||||
0.0250635 | + | 0.999686i | \(0.492021\pi\) | |||||||
\(762\) | −446.688 | −0.586205 | ||||||||
\(763\) | −153.309 | + | 265.539i | −0.200929 | + | 0.348019i | ||||
\(764\) | 97.8844i | 0.128121i | ||||||||
\(765\) | −2.08196 | + | 1.20202i | −0.00272151 | + | 0.00157127i | ||||
\(766\) | 73.3964 | − | 127.126i | 0.0958178 | − | 0.165961i | ||||
\(767\) | −181.223 | + | 104.629i | −0.236275 | + | 0.136414i | ||||
\(768\) | −78.3440 | − | 45.2320i | −0.102010 | − | 0.0588958i | ||||
\(769\) | −732.905 | − | 423.143i | −0.953062 | − | 0.550251i | −0.0590312 | − | 0.998256i | \(-0.518801\pi\) |
−0.894031 | + | 0.448006i | \(0.852134\pi\) | |||||||
\(770\) | 5.31136 | − | 9.19954i | 0.00689787 | − | 0.0119475i | ||||
\(771\) | 426.052 | + | 245.981i | 0.552597 | + | 0.319042i | ||||
\(772\) | 29.4475 | − | 51.0046i | 0.0381445 | − | 0.0660682i | ||||
\(773\) | 425.430 | − | 736.867i | 0.550363 | − | 0.953256i | −0.447886 | − | 0.894091i | \(-0.647823\pi\) |
0.998248 | − | 0.0591652i | \(-0.0188439\pi\) | |||||||
\(774\) | −13.4178 | − | 23.2403i | −0.0173357 | − | 0.0300263i | ||||
\(775\) | −19.2609 | − | 11.1203i | −0.0248528 | − | 0.0143488i | ||||
\(776\) | −257.251 | − | 445.572i | −0.331509 | − | 0.574191i | ||||
\(777\) | 60.8230 | 0.0782792 | ||||||||
\(778\) | −846.274 | − | 488.597i | −1.08776 | − | 0.628016i | ||||
\(779\) | − | 375.341i | − | 0.481824i | ||||||
\(780\) | 0.258611i | 0.000331553i | ||||||||
\(781\) | 601.754 | − | 347.423i | 0.770492 | − | 0.444844i | ||||
\(782\) | − | 504.381i | − | 0.644989i | ||||||
\(783\) | −134.337 | − | 77.5593i | −0.171567 | − | 0.0990541i | ||||
\(784\) | 217.984 | − | 377.559i | 0.278040 | − | 0.481580i | ||||
\(785\) | 4.73621 | − | 2.73445i | 0.00603339 | − | 0.00348338i | ||||
\(786\) | 20.8749 | + | 36.1563i | 0.0265584 | + | 0.0460004i | ||||
\(787\) | −340.308 | + | 196.477i | −0.432411 | + | 0.249653i | −0.700373 | − | 0.713777i | \(-0.746983\pi\) |
0.267962 | + | 0.963429i | \(0.413650\pi\) | |||||||
\(788\) | 31.8923 | − | 18.4131i | 0.0404725 | − | 0.0233668i | ||||
\(789\) | 678.625i | 0.860108i | ||||||||
\(790\) | 23.0552i | 0.0291838i | ||||||||
\(791\) | −3.04835 | − | 5.27989i | −0.00385379 | − | 0.00667496i | ||||
\(792\) | 103.567 | − | 179.384i | 0.130767 | − | 0.226495i | ||||
\(793\) | −129.803 | + | 224.825i | −0.163686 | + | 0.283512i | ||||
\(794\) | −1336.11 | + | 771.406i | −1.68276 | + | 0.971544i | ||||
\(795\) | − | 12.6040i | − | 0.0158541i | ||||||
\(796\) | 85.7626 | 0.107742 | ||||||||
\(797\) | −634.880 | + | 1099.64i | −0.796587 | + | 1.37973i | 0.125239 | + | 0.992127i | \(0.460030\pi\) |
−0.921826 | + | 0.387603i | \(0.873303\pi\) | |||||||
\(798\) | −83.1363 | + | 47.9988i | −0.104181 | + | 0.0601489i | ||||
\(799\) | −288.908 | −0.361588 | ||||||||
\(800\) | −94.4498 | − | 54.5306i | −0.118062 | − | 0.0681633i | ||||
\(801\) | −16.9156 | −0.0211181 | ||||||||
\(802\) | 169.839 | + | 294.170i | 0.211769 | + | 0.366795i | ||||
\(803\) | − | 311.224i | − | 0.387577i | ||||||
\(804\) | −20.4987 | − | 24.1972i | −0.0254959 | − | 0.0300960i | ||||
\(805\) | −20.7002 | −0.0257146 | ||||||||
\(806\) | 7.34284 | − | 4.23939i | 0.00911022 | − | 0.00525979i | ||||
\(807\) | 568.142i | 0.704018i | ||||||||
\(808\) | 64.5009 | − | 111.719i | 0.0798278 | − | 0.138266i | ||||
\(809\) | 1098.14i | 1.35741i | 0.734412 | + | 0.678704i | \(0.237458\pi\) | ||||
−0.734412 | + | 0.678704i | \(0.762542\pi\) | |||||||
\(810\) | −1.10301 | − | 1.91046i | −0.00136174 | − | 0.00235860i | ||||
\(811\) | −190.084 | − | 109.745i | −0.234382 | − | 0.135321i | 0.378210 | − | 0.925720i | \(-0.376540\pi\) |
−0.612592 | + | 0.790399i | \(0.709873\pi\) | |||||||
\(812\) | 39.4483i | 0.0485816i | ||||||||
\(813\) | −276.729 | −0.340380 | ||||||||
\(814\) | 67.2720 | + | 116.518i | 0.0826437 | + | 0.143143i | ||||
\(815\) | −17.6786 | − | 10.2068i | −0.0216915 | − | 0.0125236i | ||||
\(816\) | 172.522 | + | 99.6059i | 0.211425 | + | 0.122066i | ||||
\(817\) | 20.7785 | − | 11.9964i | 0.0254326 | − | 0.0146835i | ||||
\(818\) | 244.739 | 0.299192 | ||||||||
\(819\) | 66.8453 | 0.0816182 | ||||||||
\(820\) | −1.09675 | − | 1.89962i | −0.00133750 | − | 0.00231661i | ||||
\(821\) | 665.793 | + | 1153.19i | 0.810954 | + | 1.40461i | 0.912197 | + | 0.409752i | \(0.134385\pi\) |
−0.101243 | + | 0.994862i | \(0.532282\pi\) | |||||||
\(822\) | 251.130 | − | 144.990i | 0.305511 | − | 0.176387i | ||||
\(823\) | 743.262 | + | 1287.37i | 0.903113 | + | 1.56424i | 0.823430 | + | 0.567417i | \(0.192057\pi\) |
0.0796827 | + | 0.996820i | \(0.474609\pi\) | |||||||
\(824\) | −260.981 | − | 150.678i | −0.316725 | − | 0.182861i | ||||
\(825\) | 193.932 | − | 335.900i | 0.235069 | − | 0.407152i | ||||
\(826\) | −453.949 | −0.549575 | ||||||||
\(827\) | −168.953 | − | 292.634i | −0.204296 | − | 0.353851i | 0.745612 | − | 0.666380i | \(-0.232157\pi\) |
−0.949908 | + | 0.312529i | \(0.898824\pi\) | |||||||
\(828\) | 29.5981 | 0.0357465 | ||||||||
\(829\) | −1048.33 | −1.26457 | −0.632287 | − | 0.774734i | \(-0.717884\pi\) | ||||
−0.632287 | + | 0.774734i | \(0.717884\pi\) | |||||||
\(830\) | −13.4377 | + | 23.2748i | −0.0161900 | + | 0.0280419i | ||||
\(831\) | 686.568i | 0.826195i | ||||||||
\(832\) | −235.645 | + | 136.050i | −0.283227 | + | 0.163521i | ||||
\(833\) | −86.5645 | + | 149.934i | −0.103919 | + | 0.179993i | ||||
\(834\) | −44.5910 | + | 25.7446i | −0.0534664 | + | 0.0308689i | ||||
\(835\) | 23.2371 | + | 13.4160i | 0.0278289 | + | 0.0160670i | ||||
\(836\) | −11.7605 | − | 6.78993i | −0.0140676 | − | 0.00812192i | ||||
\(837\) | −2.31261 | + | 4.00556i | −0.00276297 | + | 0.00478561i | ||||
\(838\) | −188.985 | − | 109.111i | −0.225519 | − | 0.130204i | ||||
\(839\) | −134.005 | + | 232.103i | −0.159720 | + | 0.276643i | −0.934768 | − | 0.355260i | \(-0.884392\pi\) |
0.775048 | + | 0.631903i | \(0.217726\pi\) | |||||||
\(840\) | 3.82534 | − | 6.62568i | 0.00455398 | − | 0.00788772i | ||||
\(841\) | −25.0890 | − | 43.4554i | −0.0298324 | − | 0.0516712i | ||||
\(842\) | 108.162 | + | 62.4476i | 0.128459 | + | 0.0741658i | ||||
\(843\) | −57.0045 | − | 98.7348i | −0.0676211 | − | 0.117123i | ||||
\(844\) | 26.9066 | 0.0318798 | ||||||||
\(845\) | −15.1738 | − | 8.76059i | −0.0179571 | − | 0.0103676i | ||||
\(846\) | − | 265.110i | − | 0.313369i | ||||||
\(847\) | 196.690i | 0.232219i | ||||||||
\(848\) | −904.509 | + | 522.219i | −1.06664 | + | 0.615824i | ||||
\(849\) | 903.856i | 1.06461i | ||||||||
\(850\) | 302.303 | + | 174.534i | 0.355650 | + | 0.205335i | ||||
\(851\) | 131.091 | − | 227.057i | 0.154044 | − | 0.266812i | ||||
\(852\) | −31.7801 | + | 18.3482i | −0.0373006 | + | 0.0215355i | ||||
\(853\) | 705.717 | + | 1222.34i | 0.827335 | + | 1.43299i | 0.900122 | + | 0.435638i | \(0.143477\pi\) |
−0.0727869 | + | 0.997348i | \(0.523189\pi\) | |||||||
\(854\) | −487.718 | + | 281.584i | −0.571098 | + | 0.329724i | ||||
\(855\) | 1.70808 | − | 0.986163i | 0.00199776 | − | 0.00115341i | ||||
\(856\) | − | 204.773i | − | 0.239221i | ||||||
\(857\) | 838.727i | 0.978678i | 0.872094 | + | 0.489339i | \(0.162762\pi\) | ||||
−0.872094 | + | 0.489339i | \(0.837238\pi\) | |||||||
\(858\) | 73.9328 | + | 128.055i | 0.0861688 | + | 0.149249i | ||||
\(859\) | 239.724 | − | 415.213i | 0.279073 | − | 0.483368i | −0.692082 | − | 0.721819i | \(-0.743306\pi\) |
0.971155 | + | 0.238451i | \(0.0766396\pi\) | |||||||
\(860\) | 0.0701074 | − | 0.121430i | 8.15202e−5 | − | 0.000141197i | ||||
\(861\) | −491.010 | + | 283.485i | −0.570279 | + | 0.329251i | ||||
\(862\) | − | 699.367i | − | 0.811330i | ||||||
\(863\) | 490.391 | 0.568239 | 0.284120 | − | 0.958789i | \(-0.408299\pi\) | ||||
0.284120 | + | 0.958789i | \(0.408299\pi\) | |||||||
\(864\) | −11.3404 | + | 19.6421i | −0.0131254 | + | 0.0227339i | ||||
\(865\) | −21.7761 | + | 12.5725i | −0.0251747 | + | 0.0145346i | ||||
\(866\) | 1144.79 | 1.32193 | ||||||||
\(867\) | 364.989 | + | 210.726i | 0.420979 | + | 0.243052i | ||||
\(868\) | 1.17624 | 0.00135511 | ||||||||
\(869\) | 421.500 | + | 730.059i | 0.485040 | + | 0.840113i | ||||
\(870\) | − | 12.6738i | − | 0.0145676i | ||||||
\(871\) | −303.783 | + | 55.0405i | −0.348775 | + | 0.0631923i | ||||
\(872\) | −488.493 | −0.560198 | ||||||||
\(873\) | −173.513 | + | 100.178i | −0.198755 | + | 0.114751i | ||||
\(874\) | 413.806i | 0.473462i | ||||||||
\(875\) | 14.3301 | − | 24.8205i | 0.0163773 | − | 0.0283663i | ||||
\(876\) | 16.4365i | 0.0187631i | ||||||||
\(877\) | −580.708 | − | 1005.82i | −0.662152 | − | 1.14688i | −0.980049 | − | 0.198756i | \(-0.936310\pi\) |
0.317897 | − | 0.948125i | \(-0.397023\pi\) | |||||||
\(878\) | −390.248 | − | 225.310i | −0.444474 | − | 0.256617i | ||||
\(879\) | − | 745.746i | − | 0.848403i | ||||||
\(880\) | 18.0854 | 0.0205516 | ||||||||
\(881\) | −746.188 | − | 1292.44i | −0.846978 | − | 1.46701i | −0.883892 | − | 0.467691i | \(-0.845086\pi\) |
0.0369135 | − | 0.999318i | \(-0.488247\pi\) | |||||||
\(882\) | −137.584 | − | 79.4340i | −0.155991 | − | 0.0900612i | ||||
\(883\) | 56.3661 | + | 32.5430i | 0.0638348 | + | 0.0368550i | 0.531578 | − | 0.847010i | \(-0.321599\pi\) |
−0.467743 | + | 0.883865i | \(0.654933\pi\) | |||||||
\(884\) | −7.37000 | + | 4.25507i | −0.00833710 | + | 0.00481343i | ||||
\(885\) | 9.32665 | 0.0105386 | ||||||||
\(886\) | 1714.64 | 1.93526 | ||||||||
\(887\) | 284.127 | + | 492.122i | 0.320323 | + | 0.554816i | 0.980555 | − | 0.196246i | \(-0.0628752\pi\) |
−0.660232 | + | 0.751062i | \(0.729542\pi\) | |||||||
\(888\) | 48.4505 | + | 83.9188i | 0.0545614 | + | 0.0945032i | ||||
\(889\) | −522.445 | + | 301.634i | −0.587677 | + | 0.339296i | ||||
\(890\) | −0.691038 | − | 1.19691i | −0.000776447 | − | 0.00134485i | ||||
\(891\) | −69.8549 | − | 40.3307i | −0.0784005 | − | 0.0452646i | ||||
\(892\) | −44.6300 | + | 77.3014i | −0.0500336 | + | 0.0866607i | ||||
\(893\) | 237.027 | 0.265428 | ||||||||
\(894\) | −82.7386 | − | 143.307i | −0.0925488 | − | 0.160299i | ||||
\(895\) | −7.01565 | −0.00783871 | ||||||||
\(896\) | −674.698 | −0.753011 | ||||||||
\(897\) | 144.071 | − | 249.538i | 0.160614 | − | 0.278192i | ||||
\(898\) | − | 398.649i | − | 0.443929i | ||||||
\(899\) | −23.0125 | + | 13.2863i | −0.0255978 | + | 0.0147789i | ||||
\(900\) | −10.2420 | + | 17.7397i | −0.0113800 | + | 0.0197108i | ||||
\(901\) | 359.194 | − | 207.381i | 0.398661 | − | 0.230167i | ||||
\(902\) | −1086.14 | − | 627.085i | −1.20415 | − | 0.695217i | ||||
\(903\) | −31.3869 | − | 18.1212i | −0.0347584 | − | 0.0200678i | ||||
\(904\) | 4.85652 | − | 8.41174i | 0.00537226 | − | 0.00930503i | ||||
\(905\) | 0.943816 | + | 0.544912i | 0.00104289 | + | 0.000602113i | ||||
\(906\) | −3.70632 | + | 6.41954i | −0.00409086 | + | 0.00708558i | ||||
\(907\) | −238.893 | + | 413.775i | −0.263388 | + | 0.456202i | −0.967140 | − | 0.254244i | \(-0.918173\pi\) |
0.703752 | + | 0.710446i | \(0.251507\pi\) | |||||||
\(908\) | −7.92064 | − | 13.7190i | −0.00872317 | − | 0.0151090i | ||||
\(909\) | −43.5051 | − | 25.1177i | −0.0478604 | − | 0.0276322i | ||||
\(910\) | 2.73077 | + | 4.72983i | 0.00300084 | + | 0.00519761i | ||||
\(911\) | −431.123 | −0.473241 | −0.236621 | − | 0.971602i | \(-0.576040\pi\) | ||||
−0.236621 | + | 0.971602i | \(0.576040\pi\) | |||||||
\(912\) | −141.541 | − | 81.7189i | −0.155199 | − | 0.0896040i | ||||
\(913\) | 982.682i | 1.07632i | ||||||||
\(914\) | 661.702i | 0.723963i | ||||||||
\(915\) | 10.0205 | − | 5.78531i | 0.0109513 | − | 0.00632274i | ||||
\(916\) | − | 68.7525i | − | 0.0750573i | ||||||
\(917\) | 48.8304 | + | 28.1922i | 0.0532501 | + | 0.0307440i | ||||
\(918\) | 36.2967 | − | 62.8678i | 0.0395389 | − | 0.0684834i | ||||
\(919\) | 1020.62 | − | 589.257i | 1.11058 | − | 0.641193i | 0.171600 | − | 0.985167i | \(-0.445106\pi\) |
0.938979 | + | 0.343973i | \(0.111773\pi\) | |||||||
\(920\) | −16.4895 | − | 28.5606i | −0.0179233 | − | 0.0310441i | ||||
\(921\) | 734.906 | − | 424.298i | 0.797944 | − | 0.460693i | ||||
\(922\) | −524.408 | + | 302.767i | −0.568772 | + | 0.328381i | ||||
\(923\) | 357.246i | 0.387049i | ||||||||
\(924\) | 20.5130i | 0.0222002i | ||||||||
\(925\) | 90.7248 | + | 157.140i | 0.0980808 | + | 0.169881i | ||||
\(926\) | 477.501 | − | 827.056i | 0.515660 | − | 0.893149i | ||||
\(927\) | −58.6762 | + | 101.630i | −0.0632969 | + | 0.109633i | ||||
\(928\) | −112.846 | + | 65.1519i | −0.121602 | + | 0.0702068i | ||||
\(929\) | − | 814.595i | − | 0.876851i | −0.898767 | − | 0.438426i | \(-0.855536\pi\) | ||
0.898767 | − | 0.438426i | \(-0.144464\pi\) | |||||||
\(930\) | −0.377899 | −0.000406343 | ||||||||
\(931\) | 71.0194 | − | 123.009i | 0.0762830 | − | 0.132126i | ||||
\(932\) | 55.3174 | − | 31.9375i | 0.0593534 | − | 0.0342677i | ||||
\(933\) | −123.188 | −0.132034 | ||||||||
\(934\) | −38.4764 | − | 22.2144i | −0.0411953 | − | 0.0237841i | ||||
\(935\) | −7.18197 | −0.00768125 | ||||||||
\(936\) | 53.2478 | + | 92.2279i | 0.0568887 | + | 0.0985341i | ||||
\(937\) | 1794.75i | 1.91542i | 0.287733 | + | 0.957711i | \(0.407098\pi\) | ||||
−0.287733 | + | 0.957711i | \(0.592902\pi\) | |||||||
\(938\) | −630.414 | − | 226.098i | −0.672084 | − | 0.241043i | ||||
\(939\) | 364.712 | 0.388405 | ||||||||
\(940\) | 1.19961 | − | 0.692595i | 0.00127618 | − | 0.000736803i | ||||
\(941\) | 881.908i | 0.937203i | 0.883410 | + | 0.468601i | \(0.155242\pi\) | ||||
−0.883410 | + | 0.468601i | \(0.844758\pi\) | |||||||
\(942\) | −82.5708 | + | 143.017i | −0.0876547 | + | 0.151822i | ||||
\(943\) | 2443.97i | 2.59170i | ||||||||
\(944\) | −386.429 | − | 669.314i | −0.409353 | − | 0.709019i | ||||
\(945\) | −2.58015 | − | 1.48965i | −0.00273031 | − | 0.00157635i | ||||
\(946\) | − | 80.1704i | − | 0.0847467i | ||||||
\(947\) | 1091.61 | 1.15270 | 0.576350 | − | 0.817203i | \(-0.304476\pi\) | ||||
0.576350 | + | 0.817203i | \(0.304476\pi\) | |||||||
\(948\) | −22.2604 | − | 38.5562i | −0.0234814 | − | 0.0406711i | ||||
\(949\) | 138.575 | + | 80.0060i | 0.146022 | + | 0.0843056i | ||||
\(950\) | −248.016 | − | 143.192i | −0.261069 | − | 0.150728i | ||||
\(951\) | −107.752 | + | 62.2108i | −0.113304 | + | 0.0654162i | ||||
\(952\) | 251.762 | 0.264455 | ||||||||
\(953\) | 369.818 | 0.388057 | 0.194029 | − | 0.980996i | \(-0.437845\pi\) | ||||
0.194029 | + | 0.980996i | \(0.437845\pi\) | |||||||
\(954\) | 190.298 | + | 329.606i | 0.199474 | + | 0.345499i | ||||
\(955\) | −21.2358 | − | 36.7816i | −0.0222365 | − | 0.0385147i | ||||
\(956\) | −66.9179 | + | 38.6351i | −0.0699978 | + | 0.0404133i | ||||
\(957\) | −231.706 | − | 401.326i | −0.242117 | − | 0.419358i | ||||
\(958\) | −74.1335 | − | 42.8010i | −0.0773836 | − | 0.0446774i | ||||
\(959\) | 195.814 | − | 339.160i | 0.204186 | − | 0.353660i | ||||
\(960\) | 12.1275 | 0.0126328 | ||||||||
\(961\) | −480.104 | − | 831.564i | −0.499588 | − | 0.865311i | ||||
\(962\) | −69.1741 | −0.0719065 | ||||||||
\(963\) | −79.7419 | −0.0828058 | ||||||||
\(964\) | −31.1940 | + | 54.0296i | −0.0323589 | + | 0.0560473i | ||||
\(965\) | 25.5544i | 0.0264812i | ||||||||
\(966\) | 541.330 | − | 312.537i | 0.560383 | − | 0.323537i | ||||
\(967\) | 528.820 | − | 915.944i | 0.546867 | − | 0.947201i | −0.451620 | − | 0.892210i | \(-0.649154\pi\) |
0.998487 | − | 0.0549909i | \(-0.0175130\pi\) | |||||||
\(968\) | −271.377 | + | 156.680i | −0.280348 | + | 0.161859i | ||||
\(969\) | 56.2081 | + | 32.4518i | 0.0580063 | + | 0.0334900i | ||||
\(970\) | −14.1767 | − | 8.18493i | −0.0146152 | − | 0.00843807i | ||||
\(971\) | 725.593 | − | 1256.76i | 0.747264 | − | 1.29430i | −0.201866 | − | 0.979413i | \(-0.564700\pi\) |
0.949130 | − | 0.314886i | \(-0.101966\pi\) | |||||||
\(972\) | 3.68920 | + | 2.12996i | 0.00379548 | + | 0.00219132i | ||||
\(973\) | −34.7690 | + | 60.2217i | −0.0357338 | + | 0.0618928i | ||||
\(974\) | 716.663 | − | 1241.30i | 0.735793 | − | 1.27443i | ||||
\(975\) | 99.7078 | + | 172.699i | 0.102264 | + | 0.177127i | ||||
\(976\) | −830.349 | − | 479.402i | −0.850768 | − | 0.491191i | ||||
\(977\) | 91.7030 | + | 158.834i | 0.0938618 | + | 0.162573i | 0.909133 | − | 0.416506i | \(-0.136745\pi\) |
−0.815271 | + | 0.579079i | \(0.803412\pi\) | |||||||
\(978\) | 616.416 | 0.630282 | ||||||||
\(979\) | −43.7644 | − | 25.2674i | −0.0447031 | − | 0.0258094i | ||||
\(980\) | − | 0.830077i | − | 0.000847017i | ||||||
\(981\) | 190.227i | 0.193911i | ||||||||
\(982\) | 515.623 | − | 297.695i | 0.525074 | − | 0.303152i | ||||
\(983\) | − | 794.947i | − | 0.808695i | −0.914606 | − | 0.404347i | \(-0.867499\pi\) | ||
0.914606 | − | 0.404347i | \(-0.132501\pi\) | |||||||
\(984\) | −782.261 | − | 451.639i | −0.794981 | − | 0.458983i | ||||
\(985\) | −7.98936 | + | 13.8380i | −0.00811102 | + | 0.0140487i | ||||
\(986\) | 361.184 | − | 208.530i | 0.366312 | − | 0.211490i | ||||
\(987\) | −179.020 | − | 310.072i | −0.181378 | − | 0.314156i | ||||
\(988\) | 6.04651 | − | 3.49096i | 0.00611995 | − | 0.00353336i | ||||
\(989\) | −135.296 | + | 78.1130i | −0.136801 | + | 0.0789818i | ||||
\(990\) | − | 6.59037i | − | 0.00665694i | ||||||
\(991\) | 1735.88i | 1.75164i | 0.482635 | + | 0.875821i | \(0.339680\pi\) | ||||
−0.482635 | + | 0.875821i | \(0.660320\pi\) | |||||||
\(992\) | 1.94265 | + | 3.36477i | 0.00195832 | + | 0.00339191i | ||||
\(993\) | 321.162 | − | 556.269i | 0.323426 | − | 0.560191i | ||||
\(994\) | −387.491 | + | 671.154i | −0.389830 | + | 0.675206i | ||||
\(995\) | −32.2266 | + | 18.6060i | −0.0323886 | + | 0.0186995i | ||||
\(996\) | − | 51.8978i | − | 0.0521062i | ||||||
\(997\) | −902.846 | −0.905562 | −0.452781 | − | 0.891622i | \(-0.649568\pi\) | ||||
−0.452781 | + | 0.891622i | \(0.649568\pi\) | |||||||
\(998\) | −273.894 | + | 474.398i | −0.274443 | + | 0.475349i | ||||
\(999\) | 32.6793 | − | 18.8674i | 0.0327120 | − | 0.0188863i |
(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 | 201.3.h.b.97.4 | ✓ | 24 | |
67.38 | odd | 6 | inner | 201.3.h.b.172.4 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.3.h.b.97.4 | ✓ | 24 | 1.1 | even | 1 | trivial | |
201.3.h.b.172.4 | yes | 24 | 67.38 | odd | 6 | inner |