Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(71,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.71");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.e (of order \(2\), degree \(1\), 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: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 34 x^{14} - 80 x^{13} + 97 x^{12} - 80 x^{11} + 498 x^{10} - 3288 x^{9} + \cdots + 43046721 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{8}\cdot 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 71.10 | ||
Root | \(2.53169 + 1.60951i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 210.71 |
Dual form | 210.3.e.a.71.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41421i | 0.707107i | ||||||||
\(3\) | −2.53169 | − | 1.60951i | −0.843898 | − | 0.536504i | ||||
\(4\) | −2.00000 | −0.500000 | ||||||||
\(5\) | − | 2.23607i | − | 0.447214i | ||||||
\(6\) | 2.27619 | − | 3.58035i | 0.379366 | − | 0.596726i | ||||
\(7\) | 2.64575 | 0.377964 | ||||||||
\(8\) | − | 2.82843i | − | 0.353553i | ||||||
\(9\) | 3.81894 | + | 8.14958i | 0.424326 | + | 0.905509i | ||||
\(10\) | 3.16228 | 0.316228 | ||||||||
\(11\) | 13.4366i | 1.22151i | 0.791820 | + | 0.610754i | \(0.209134\pi\) | ||||
−0.791820 | + | 0.610754i | \(0.790866\pi\) | |||||||
\(12\) | 5.06339 | + | 3.21903i | 0.421949 | + | 0.268252i | ||||
\(13\) | −19.9431 | −1.53409 | −0.767044 | − | 0.641595i | \(-0.778273\pi\) | ||||
−0.767044 | + | 0.641595i | \(0.778273\pi\) | |||||||
\(14\) | 3.74166i | 0.267261i | ||||||||
\(15\) | −3.59898 | + | 5.66104i | −0.239932 | + | 0.377402i | ||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | 16.8546i | 0.991444i | 0.868481 | + | 0.495722i | \(0.165097\pi\) | ||||
−0.868481 | + | 0.495722i | \(0.834903\pi\) | |||||||
\(18\) | −11.5253 | + | 5.40079i | −0.640292 | + | 0.300044i | ||||
\(19\) | −20.2080 | −1.06358 | −0.531790 | − | 0.846876i | \(-0.678481\pi\) | ||||
−0.531790 | + | 0.846876i | \(0.678481\pi\) | |||||||
\(20\) | 4.47214i | 0.223607i | ||||||||
\(21\) | −6.69823 | − | 4.25837i | −0.318963 | − | 0.202780i | ||||
\(22\) | −19.0022 | −0.863736 | ||||||||
\(23\) | 6.13260i | 0.266635i | 0.991073 | + | 0.133317i | \(0.0425630\pi\) | ||||
−0.991073 | + | 0.133317i | \(0.957437\pi\) | |||||||
\(24\) | −4.55239 | + | 7.16071i | −0.189683 | + | 0.298363i | ||||
\(25\) | −5.00000 | −0.200000 | ||||||||
\(26\) | − | 28.2039i | − | 1.08476i | ||||||
\(27\) | 3.44849 | − | 26.7789i | 0.127722 | − | 0.991810i | ||||
\(28\) | −5.29150 | −0.188982 | ||||||||
\(29\) | 46.5221i | 1.60421i | 0.597183 | + | 0.802105i | \(0.296287\pi\) | ||||
−0.597183 | + | 0.802105i | \(0.703713\pi\) | |||||||
\(30\) | −8.00592 | − | 5.08973i | −0.266864 | − | 0.169658i | ||||
\(31\) | −17.2147 | −0.555314 | −0.277657 | − | 0.960680i | \(-0.589558\pi\) | ||||
−0.277657 | + | 0.960680i | \(0.589558\pi\) | |||||||
\(32\) | 5.65685i | 0.176777i | ||||||||
\(33\) | 21.6264 | − | 34.0173i | 0.655344 | − | 1.03083i | ||||
\(34\) | −23.8359 | −0.701057 | ||||||||
\(35\) | − | 5.91608i | − | 0.169031i | ||||||
\(36\) | −7.63787 | − | 16.2992i | −0.212163 | − | 0.452755i | ||||
\(37\) | 64.7559 | 1.75016 | 0.875080 | − | 0.483978i | \(-0.160809\pi\) | ||||
0.875080 | + | 0.483978i | \(0.160809\pi\) | |||||||
\(38\) | − | 28.5785i | − | 0.752065i | ||||||
\(39\) | 50.4899 | + | 32.0987i | 1.29461 | + | 0.823045i | ||||
\(40\) | −6.32456 | −0.158114 | ||||||||
\(41\) | 62.5496i | 1.52560i | 0.646634 | + | 0.762800i | \(0.276176\pi\) | ||||
−0.646634 | + | 0.762800i | \(0.723824\pi\) | |||||||
\(42\) | 6.02225 | − | 9.47273i | 0.143387 | − | 0.225541i | ||||
\(43\) | −71.0317 | −1.65190 | −0.825949 | − | 0.563744i | \(-0.809360\pi\) | ||||
−0.825949 | + | 0.563744i | \(0.809360\pi\) | |||||||
\(44\) | − | 26.8732i | − | 0.610754i | ||||||
\(45\) | 18.2230 | − | 8.53940i | 0.404956 | − | 0.189764i | ||||
\(46\) | −8.67280 | −0.188539 | ||||||||
\(47\) | − | 47.6863i | − | 1.01460i | −0.861769 | − | 0.507301i | \(-0.830643\pi\) | ||
0.861769 | − | 0.507301i | \(-0.169357\pi\) | |||||||
\(48\) | −10.1268 | − | 6.43805i | −0.210974 | − | 0.134126i | ||||
\(49\) | 7.00000 | 0.142857 | ||||||||
\(50\) | − | 7.07107i | − | 0.141421i | ||||||
\(51\) | 27.1276 | − | 42.6705i | 0.531914 | − | 0.836677i | ||||
\(52\) | 39.8863 | 0.767044 | ||||||||
\(53\) | − | 36.2448i | − | 0.683864i | −0.939725 | − | 0.341932i | \(-0.888919\pi\) | ||
0.939725 | − | 0.341932i | \(-0.111081\pi\) | |||||||
\(54\) | 37.8710 | + | 4.87690i | 0.701316 | + | 0.0903129i | ||||
\(55\) | 30.0451 | 0.546275 | ||||||||
\(56\) | − | 7.48331i | − | 0.133631i | ||||||
\(57\) | 51.1605 | + | 32.5251i | 0.897553 | + | 0.570616i | ||||
\(58\) | −65.7922 | −1.13435 | ||||||||
\(59\) | 2.49151i | 0.0422290i | 0.999777 | + | 0.0211145i | \(0.00672145\pi\) | ||||
−0.999777 | + | 0.0211145i | \(0.993279\pi\) | |||||||
\(60\) | 7.19796 | − | 11.3221i | 0.119966 | − | 0.188701i | ||||
\(61\) | 12.5448 | 0.205653 | 0.102826 | − | 0.994699i | \(-0.467211\pi\) | ||||
0.102826 | + | 0.994699i | \(0.467211\pi\) | |||||||
\(62\) | − | 24.3453i | − | 0.392666i | ||||||
\(63\) | 10.1040 | + | 21.5618i | 0.160380 | + | 0.342250i | ||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | 44.5942i | 0.686065i | ||||||||
\(66\) | 48.1077 | + | 30.5843i | 0.728905 | + | 0.463398i | ||||
\(67\) | −118.236 | −1.76471 | −0.882357 | − | 0.470581i | \(-0.844044\pi\) | ||||
−0.882357 | + | 0.470581i | \(0.844044\pi\) | |||||||
\(68\) | − | 33.7091i | − | 0.495722i | ||||||
\(69\) | 9.87050 | − | 15.5259i | 0.143051 | − | 0.225012i | ||||
\(70\) | 8.36660 | 0.119523 | ||||||||
\(71\) | − | 7.94718i | − | 0.111932i | −0.998433 | − | 0.0559660i | \(-0.982176\pi\) | ||
0.998433 | − | 0.0559660i | \(-0.0178239\pi\) | |||||||
\(72\) | 23.0505 | − | 10.8016i | 0.320146 | − | 0.150022i | ||||
\(73\) | 73.2141 | 1.00293 | 0.501466 | − | 0.865177i | \(-0.332794\pi\) | ||||
0.501466 | + | 0.865177i | \(0.332794\pi\) | |||||||
\(74\) | 91.5787i | 1.23755i | ||||||||
\(75\) | 12.6585 | + | 8.04756i | 0.168780 | + | 0.107301i | ||||
\(76\) | 40.4161 | 0.531790 | ||||||||
\(77\) | 35.5499i | 0.461687i | ||||||||
\(78\) | −45.3945 | + | 71.4035i | −0.581980 | + | 0.915429i | ||||
\(79\) | 108.171 | 1.36925 | 0.684627 | − | 0.728893i | \(-0.259965\pi\) | ||||
0.684627 | + | 0.728893i | \(0.259965\pi\) | |||||||
\(80\) | − | 8.94427i | − | 0.111803i | ||||||
\(81\) | −51.8315 | + | 62.2455i | −0.639894 | + | 0.768463i | ||||
\(82\) | −88.4585 | −1.07876 | ||||||||
\(83\) | − | 92.8713i | − | 1.11893i | −0.828854 | − | 0.559466i | \(-0.811006\pi\) | ||
0.828854 | − | 0.559466i | \(-0.188994\pi\) | |||||||
\(84\) | 13.3965 | + | 8.51674i | 0.159482 | + | 0.101390i | ||||
\(85\) | 37.6879 | 0.443387 | ||||||||
\(86\) | − | 100.454i | − | 1.16807i | ||||||
\(87\) | 74.8779 | − | 117.780i | 0.860666 | − | 1.35379i | ||||
\(88\) | 38.0044 | 0.431868 | ||||||||
\(89\) | 5.36877i | 0.0603233i | 0.999545 | + | 0.0301616i | \(0.00960221\pi\) | ||||
−0.999545 | + | 0.0301616i | \(0.990398\pi\) | |||||||
\(90\) | 12.0765 | + | 25.7712i | 0.134184 | + | 0.286347i | ||||
\(91\) | −52.7646 | −0.579831 | ||||||||
\(92\) | − | 12.2652i | − | 0.133317i | ||||||
\(93\) | 43.5824 | + | 27.7073i | 0.468628 | + | 0.297928i | ||||
\(94\) | 67.4386 | 0.717432 | ||||||||
\(95\) | 45.1865i | 0.475648i | ||||||||
\(96\) | 9.10478 | − | 14.3214i | 0.0948415 | − | 0.149181i | ||||
\(97\) | −8.58686 | −0.0885243 | −0.0442621 | − | 0.999020i | \(-0.514094\pi\) | ||||
−0.0442621 | + | 0.999020i | \(0.514094\pi\) | |||||||
\(98\) | 9.89949i | 0.101015i | ||||||||
\(99\) | −109.503 | + | 51.3135i | −1.10609 | + | 0.518318i | ||||
\(100\) | 10.0000 | 0.100000 | ||||||||
\(101\) | − | 38.8036i | − | 0.384194i | −0.981376 | − | 0.192097i | \(-0.938471\pi\) | ||
0.981376 | − | 0.192097i | \(-0.0615288\pi\) | |||||||
\(102\) | 60.3453 | + | 38.3642i | 0.591620 | + | 0.376120i | ||||
\(103\) | −8.45500 | −0.0820873 | −0.0410437 | − | 0.999157i | \(-0.513068\pi\) | ||||
−0.0410437 | + | 0.999157i | \(0.513068\pi\) | |||||||
\(104\) | 56.4077i | 0.542382i | ||||||||
\(105\) | −9.52201 | + | 14.9777i | −0.0906858 | + | 0.142645i | ||||
\(106\) | 51.2579 | 0.483565 | ||||||||
\(107\) | 54.3515i | 0.507958i | 0.967210 | + | 0.253979i | \(0.0817394\pi\) | ||||
−0.967210 | + | 0.253979i | \(0.918261\pi\) | |||||||
\(108\) | −6.89698 | + | 53.5577i | −0.0638609 | + | 0.495905i | ||||
\(109\) | −102.194 | −0.937560 | −0.468780 | − | 0.883315i | \(-0.655306\pi\) | ||||
−0.468780 | + | 0.883315i | \(0.655306\pi\) | |||||||
\(110\) | 42.4902i | 0.386275i | ||||||||
\(111\) | −163.942 | − | 104.225i | −1.47696 | − | 0.938968i | ||||
\(112\) | 10.5830 | 0.0944911 | ||||||||
\(113\) | − | 135.780i | − | 1.20159i | −0.799402 | − | 0.600797i | \(-0.794850\pi\) | ||
0.799402 | − | 0.600797i | \(-0.205150\pi\) | |||||||
\(114\) | −45.9974 | + | 72.3519i | −0.403486 | + | 0.634666i | ||||
\(115\) | 13.7129 | 0.119243 | ||||||||
\(116\) | − | 93.0442i | − | 0.802105i | ||||||
\(117\) | −76.1616 | − | 162.528i | −0.650954 | − | 1.38913i | ||||
\(118\) | −3.52352 | −0.0298604 | ||||||||
\(119\) | 44.5930i | 0.374731i | ||||||||
\(120\) | 16.0118 | + | 10.1795i | 0.133432 | + | 0.0848288i | ||||
\(121\) | −59.5418 | −0.492081 | ||||||||
\(122\) | 17.7411i | 0.145418i | ||||||||
\(123\) | 100.674 | − | 158.356i | 0.818491 | − | 1.28745i | ||||
\(124\) | 34.4295 | 0.277657 | ||||||||
\(125\) | 11.1803i | 0.0894427i | ||||||||
\(126\) | −30.4930 | + | 14.2892i | −0.242008 | + | 0.113406i | ||||
\(127\) | −181.101 | −1.42599 | −0.712997 | − | 0.701167i | \(-0.752663\pi\) | ||||
−0.712997 | + | 0.701167i | \(0.752663\pi\) | |||||||
\(128\) | − | 11.3137i | − | 0.0883883i | ||||||
\(129\) | 179.830 | + | 114.326i | 1.39403 | + | 0.886251i | ||||
\(130\) | −63.0657 | −0.485121 | ||||||||
\(131\) | − | 4.01429i | − | 0.0306434i | −0.999883 | − | 0.0153217i | \(-0.995123\pi\) | ||
0.999883 | − | 0.0153217i | \(-0.00487725\pi\) | |||||||
\(132\) | −43.2527 | + | 68.0346i | −0.327672 | + | 0.515414i | ||||
\(133\) | −53.4654 | −0.401996 | ||||||||
\(134\) | − | 167.211i | − | 1.24784i | ||||||
\(135\) | −59.8794 | − | 7.71105i | −0.443551 | − | 0.0571189i | ||||
\(136\) | 47.6719 | 0.350528 | ||||||||
\(137\) | 78.4136i | 0.572362i | 0.958176 | + | 0.286181i | \(0.0923858\pi\) | ||||
−0.958176 | + | 0.286181i | \(0.907614\pi\) | |||||||
\(138\) | 21.9569 | + | 13.9590i | 0.159108 | + | 0.101152i | ||||
\(139\) | −41.0289 | −0.295172 | −0.147586 | − | 0.989049i | \(-0.547150\pi\) | ||||
−0.147586 | + | 0.989049i | \(0.547150\pi\) | |||||||
\(140\) | 11.8322i | 0.0845154i | ||||||||
\(141\) | −76.7517 | + | 120.727i | −0.544338 | + | 0.856220i | ||||
\(142\) | 11.2390 | 0.0791479 | ||||||||
\(143\) | − | 267.968i | − | 1.87390i | ||||||
\(144\) | 15.2757 | + | 32.5983i | 0.106082 | + | 0.226377i | ||||
\(145\) | 104.027 | 0.717425 | ||||||||
\(146\) | 103.540i | 0.709180i | ||||||||
\(147\) | −17.7218 | − | 11.2666i | −0.120557 | − | 0.0766435i | ||||
\(148\) | −129.512 | −0.875080 | ||||||||
\(149\) | 22.0376i | 0.147903i | 0.997262 | + | 0.0739515i | \(0.0235610\pi\) | ||||
−0.997262 | + | 0.0739515i | \(0.976439\pi\) | |||||||
\(150\) | −11.3810 | + | 17.9018i | −0.0758732 | + | 0.119345i | ||||
\(151\) | −96.2729 | −0.637569 | −0.318784 | − | 0.947827i | \(-0.603275\pi\) | ||||
−0.318784 | + | 0.947827i | \(0.603275\pi\) | |||||||
\(152\) | 57.1569i | 0.376033i | ||||||||
\(153\) | −137.358 | + | 64.3665i | −0.897762 | + | 0.420696i | ||||
\(154\) | −50.2751 | −0.326462 | ||||||||
\(155\) | 38.4933i | 0.248344i | ||||||||
\(156\) | −100.980 | − | 64.1975i | −0.647306 | − | 0.411522i | ||||
\(157\) | −21.6287 | −0.137763 | −0.0688813 | − | 0.997625i | \(-0.521943\pi\) | ||||
−0.0688813 | + | 0.997625i | \(0.521943\pi\) | |||||||
\(158\) | 152.977i | 0.968209i | ||||||||
\(159\) | −58.3365 | + | 91.7607i | −0.366896 | + | 0.577111i | ||||
\(160\) | 12.6491 | 0.0790569 | ||||||||
\(161\) | 16.2253i | 0.100778i | ||||||||
\(162\) | −88.0284 | − | 73.3007i | −0.543385 | − | 0.452474i | ||||
\(163\) | 223.849 | 1.37331 | 0.686654 | − | 0.726985i | \(-0.259079\pi\) | ||||
0.686654 | + | 0.726985i | \(0.259079\pi\) | |||||||
\(164\) | − | 125.099i | − | 0.762800i | ||||||
\(165\) | −76.0650 | − | 48.3580i | −0.461000 | − | 0.293079i | ||||
\(166\) | 131.340 | 0.791204 | ||||||||
\(167\) | 287.979i | 1.72442i | 0.506548 | + | 0.862212i | \(0.330921\pi\) | ||||
−0.506548 | + | 0.862212i | \(0.669079\pi\) | |||||||
\(168\) | −12.0445 | + | 18.9455i | −0.0716934 | + | 0.112771i | ||||
\(169\) | 228.729 | 1.35342 | ||||||||
\(170\) | 53.2988i | 0.313522i | ||||||||
\(171\) | −77.1732 | − | 164.687i | −0.451305 | − | 0.963082i | ||||
\(172\) | 142.063 | 0.825949 | ||||||||
\(173\) | 289.069i | 1.67092i | 0.549554 | + | 0.835458i | \(0.314798\pi\) | ||||
−0.549554 | + | 0.835458i | \(0.685202\pi\) | |||||||
\(174\) | 166.566 | + | 105.893i | 0.957273 | + | 0.608582i | ||||
\(175\) | −13.2288 | −0.0755929 | ||||||||
\(176\) | 53.7463i | 0.305377i | ||||||||
\(177\) | 4.01011 | − | 6.30773i | 0.0226560 | − | 0.0356369i | ||||
\(178\) | −7.59259 | −0.0426550 | ||||||||
\(179\) | 46.6099i | 0.260391i | 0.991488 | + | 0.130195i | \(0.0415605\pi\) | ||||
−0.991488 | + | 0.130195i | \(0.958440\pi\) | |||||||
\(180\) | −36.4460 | + | 17.0788i | −0.202478 | + | 0.0948822i | ||||
\(181\) | −138.088 | −0.762920 | −0.381460 | − | 0.924385i | \(-0.624579\pi\) | ||||
−0.381460 | + | 0.924385i | \(0.624579\pi\) | |||||||
\(182\) | − | 74.6204i | − | 0.410002i | ||||||
\(183\) | −31.7596 | − | 20.1911i | −0.173550 | − | 0.110334i | ||||
\(184\) | 17.3456 | 0.0942696 | ||||||||
\(185\) | − | 144.799i | − | 0.782695i | ||||||
\(186\) | −39.1841 | + | 61.6349i | −0.210667 | + | 0.331370i | ||||
\(187\) | −226.468 | −1.21106 | ||||||||
\(188\) | 95.3726i | 0.507301i | ||||||||
\(189\) | 9.12384 | − | 70.8502i | 0.0482743 | − | 0.374869i | ||||
\(190\) | −63.9034 | −0.336334 | ||||||||
\(191\) | 19.7131i | 0.103210i | 0.998668 | + | 0.0516051i | \(0.0164337\pi\) | ||||
−0.998668 | + | 0.0516051i | \(0.983566\pi\) | |||||||
\(192\) | 20.2535 | + | 12.8761i | 0.105487 | + | 0.0670630i | ||||
\(193\) | −55.0627 | −0.285299 | −0.142650 | − | 0.989773i | \(-0.545562\pi\) | ||||
−0.142650 | + | 0.989773i | \(0.545562\pi\) | |||||||
\(194\) | − | 12.1436i | − | 0.0625961i | ||||||
\(195\) | 71.7750 | − | 112.899i | 0.368077 | − | 0.578968i | ||||
\(196\) | −14.0000 | −0.0714286 | ||||||||
\(197\) | 225.696i | 1.14567i | 0.819672 | + | 0.572833i | \(0.194156\pi\) | ||||
−0.819672 | + | 0.572833i | \(0.805844\pi\) | |||||||
\(198\) | −72.5682 | − | 154.860i | −0.366506 | − | 0.782121i | ||||
\(199\) | 187.480 | 0.942109 | 0.471054 | − | 0.882104i | \(-0.343874\pi\) | ||||
0.471054 | + | 0.882104i | \(0.343874\pi\) | |||||||
\(200\) | 14.1421i | 0.0707107i | ||||||||
\(201\) | 299.337 | + | 190.302i | 1.48924 | + | 0.946776i | ||||
\(202\) | 54.8766 | 0.271666 | ||||||||
\(203\) | 123.086i | 0.606334i | ||||||||
\(204\) | −54.2552 | + | 85.3411i | −0.265957 | + | 0.418339i | ||||
\(205\) | 139.865 | 0.682269 | ||||||||
\(206\) | − | 11.9572i | − | 0.0580445i | ||||||
\(207\) | −49.9781 | + | 23.4200i | −0.241440 | + | 0.113140i | ||||
\(208\) | −79.7725 | −0.383522 | ||||||||
\(209\) | − | 271.527i | − | 1.29917i | ||||||
\(210\) | −21.1817 | − | 13.4662i | −0.100865 | − | 0.0641245i | ||||
\(211\) | 346.309 | 1.64127 | 0.820637 | − | 0.571450i | \(-0.193619\pi\) | ||||
0.820637 | + | 0.571450i | \(0.193619\pi\) | |||||||
\(212\) | 72.4896i | 0.341932i | ||||||||
\(213\) | −12.7911 | + | 20.1198i | −0.0600520 | + | 0.0944592i | ||||
\(214\) | −76.8646 | −0.359180 | ||||||||
\(215\) | 158.832i | 0.738752i | ||||||||
\(216\) | −75.7421 | − | 9.75380i | −0.350658 | − | 0.0451565i | ||||
\(217\) | −45.5459 | −0.209889 | ||||||||
\(218\) | − | 144.524i | − | 0.662955i | ||||||
\(219\) | −185.356 | − | 117.839i | −0.846372 | − | 0.538078i | ||||
\(220\) | −60.0902 | −0.273137 | ||||||||
\(221\) | − | 336.133i | − | 1.52096i | ||||||
\(222\) | 147.397 | − | 231.849i | 0.663951 | − | 1.04437i | ||||
\(223\) | 316.434 | 1.41899 | 0.709494 | − | 0.704712i | \(-0.248924\pi\) | ||||
0.709494 | + | 0.704712i | \(0.248924\pi\) | |||||||
\(224\) | 14.9666i | 0.0668153i | ||||||||
\(225\) | −19.0947 | − | 40.7479i | −0.0848653 | − | 0.181102i | ||||
\(226\) | 192.022 | 0.849655 | ||||||||
\(227\) | − | 7.78561i | − | 0.0342979i | −0.999853 | − | 0.0171489i | \(-0.994541\pi\) | ||
0.999853 | − | 0.0171489i | \(-0.00545894\pi\) | |||||||
\(228\) | −102.321 | − | 65.0502i | −0.448777 | − | 0.285308i | ||||
\(229\) | −121.893 | −0.532284 | −0.266142 | − | 0.963934i | \(-0.585749\pi\) | ||||
−0.266142 | + | 0.963934i | \(0.585749\pi\) | |||||||
\(230\) | 19.3930i | 0.0843173i | ||||||||
\(231\) | 57.2180 | − | 90.0013i | 0.247697 | − | 0.389616i | ||||
\(232\) | 131.584 | 0.567174 | ||||||||
\(233\) | − | 80.1577i | − | 0.344024i | −0.985095 | − | 0.172012i | \(-0.944973\pi\) | ||
0.985095 | − | 0.172012i | \(-0.0550268\pi\) | |||||||
\(234\) | 229.850 | − | 107.709i | 0.982264 | − | 0.460294i | ||||
\(235\) | −106.630 | −0.453744 | ||||||||
\(236\) | − | 4.98302i | − | 0.0211145i | ||||||
\(237\) | −273.856 | − | 174.103i | −1.15551 | − | 0.734611i | ||||
\(238\) | −63.0640 | −0.264975 | ||||||||
\(239\) | − | 116.255i | − | 0.486424i | −0.969973 | − | 0.243212i | \(-0.921799\pi\) | ||
0.969973 | − | 0.243212i | \(-0.0782011\pi\) | |||||||
\(240\) | −14.3959 | + | 22.6441i | −0.0599830 | + | 0.0943506i | ||||
\(241\) | 94.7516 | 0.393160 | 0.196580 | − | 0.980488i | \(-0.437016\pi\) | ||||
0.196580 | + | 0.980488i | \(0.437016\pi\) | |||||||
\(242\) | − | 84.2049i | − | 0.347954i | ||||||
\(243\) | 231.406 | − | 74.1631i | 0.952289 | − | 0.305198i | ||||
\(244\) | −25.0896 | −0.102826 | ||||||||
\(245\) | − | 15.6525i | − | 0.0638877i | ||||||
\(246\) | 223.950 | + | 142.375i | 0.910365 | + | 0.578761i | ||||
\(247\) | 403.012 | 1.63163 | ||||||||
\(248\) | 48.6906i | 0.196333i | ||||||||
\(249\) | −149.478 | + | 235.122i | −0.600311 | + | 0.944263i | ||||
\(250\) | −15.8114 | −0.0632456 | ||||||||
\(251\) | − | 46.8378i | − | 0.186605i | −0.995638 | − | 0.0933023i | \(-0.970258\pi\) | ||
0.995638 | − | 0.0933023i | \(-0.0297423\pi\) | |||||||
\(252\) | −20.2079 | − | 43.1235i | −0.0801901 | − | 0.171125i | ||||
\(253\) | −82.4012 | −0.325696 | ||||||||
\(254\) | − | 256.116i | − | 1.00833i | ||||||
\(255\) | −95.4142 | − | 60.6592i | −0.374173 | − | 0.237879i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | 58.1337i | 0.226201i | 0.993584 | + | 0.113101i | \(0.0360783\pi\) | ||||
−0.993584 | + | 0.113101i | \(0.963922\pi\) | |||||||
\(258\) | −161.682 | + | 254.318i | −0.626674 | + | 0.985731i | ||||
\(259\) | 171.328 | 0.661498 | ||||||||
\(260\) | − | 89.1884i | − | 0.343032i | ||||||
\(261\) | −379.136 | + | 177.665i | −1.45263 | + | 0.680708i | ||||
\(262\) | 5.67707 | 0.0216682 | ||||||||
\(263\) | − | 372.471i | − | 1.41624i | −0.706092 | − | 0.708121i | \(-0.749543\pi\) | ||
0.706092 | − | 0.708121i | \(-0.250457\pi\) | |||||||
\(264\) | −96.2155 | − | 61.1686i | −0.364453 | − | 0.231699i | ||||
\(265\) | −81.0459 | −0.305833 | ||||||||
\(266\) | − | 75.6115i | − | 0.284254i | ||||||
\(267\) | 8.64111 | − | 13.5921i | 0.0323637 | − | 0.0509067i | ||||
\(268\) | 236.472 | 0.882357 | ||||||||
\(269\) | − | 198.582i | − | 0.738221i | −0.929385 | − | 0.369111i | \(-0.879662\pi\) | ||
0.929385 | − | 0.369111i | \(-0.120338\pi\) | |||||||
\(270\) | 10.9051 | − | 84.6822i | 0.0403892 | − | 0.313638i | ||||
\(271\) | 334.221 | 1.23329 | 0.616644 | − | 0.787242i | \(-0.288492\pi\) | ||||
0.616644 | + | 0.787242i | \(0.288492\pi\) | |||||||
\(272\) | 67.4182i | 0.247861i | ||||||||
\(273\) | 133.584 | + | 84.9253i | 0.489318 | + | 0.311082i | ||||
\(274\) | −110.894 | −0.404721 | ||||||||
\(275\) | − | 67.1829i | − | 0.244302i | ||||||
\(276\) | −19.7410 | + | 31.0517i | −0.0715253 | + | 0.112506i | ||||
\(277\) | 466.582 | 1.68441 | 0.842206 | − | 0.539156i | \(-0.181257\pi\) | ||||
0.842206 | + | 0.539156i | \(0.181257\pi\) | |||||||
\(278\) | − | 58.0237i | − | 0.208718i | ||||||
\(279\) | −65.7420 | − | 140.293i | −0.235634 | − | 0.502842i | ||||
\(280\) | −16.7332 | −0.0597614 | ||||||||
\(281\) | 516.652i | 1.83862i | 0.393536 | + | 0.919309i | \(0.371252\pi\) | ||||
−0.393536 | + | 0.919309i | \(0.628748\pi\) | |||||||
\(282\) | −170.734 | − | 108.543i | −0.605439 | − | 0.384905i | ||||
\(283\) | −476.620 | −1.68417 | −0.842084 | − | 0.539346i | \(-0.818672\pi\) | ||||
−0.842084 | + | 0.539346i | \(0.818672\pi\) | |||||||
\(284\) | 15.8944i | 0.0559660i | ||||||||
\(285\) | 72.7283 | − | 114.398i | 0.255187 | − | 0.401398i | ||||
\(286\) | 378.964 | 1.32505 | ||||||||
\(287\) | 165.491i | 0.576623i | ||||||||
\(288\) | −46.1010 | + | 21.6032i | −0.160073 | + | 0.0750110i | ||||
\(289\) | 4.92410 | 0.0170384 | ||||||||
\(290\) | 147.116i | 0.507296i | ||||||||
\(291\) | 21.7393 | + | 13.8207i | 0.0747054 | + | 0.0474937i | ||||
\(292\) | −146.428 | −0.501466 | ||||||||
\(293\) | 169.952i | 0.580041i | 0.957020 | + | 0.290021i | \(0.0936622\pi\) | ||||
−0.957020 | + | 0.290021i | \(0.906338\pi\) | |||||||
\(294\) | 15.9334 | − | 25.0625i | 0.0541951 | − | 0.0852465i | ||||
\(295\) | 5.57118 | 0.0188854 | ||||||||
\(296\) | − | 183.157i | − | 0.618775i | ||||||
\(297\) | 359.817 | + | 46.3359i | 1.21150 | + | 0.156013i | ||||
\(298\) | −31.1658 | −0.104583 | ||||||||
\(299\) | − | 122.303i | − | 0.409041i | ||||||
\(300\) | −25.3169 | − | 16.0951i | −0.0843898 | − | 0.0536504i | ||||
\(301\) | −187.932 | −0.624359 | ||||||||
\(302\) | − | 136.150i | − | 0.450829i | ||||||
\(303\) | −62.4549 | + | 98.2388i | −0.206122 | + | 0.324220i | ||||
\(304\) | −80.8321 | −0.265895 | ||||||||
\(305\) | − | 28.0511i | − | 0.0919707i | ||||||
\(306\) | −91.0279 | − | 194.253i | −0.297477 | − | 0.634814i | ||||
\(307\) | −312.115 | −1.01666 | −0.508331 | − | 0.861162i | \(-0.669737\pi\) | ||||
−0.508331 | + | 0.861162i | \(0.669737\pi\) | |||||||
\(308\) | − | 71.0997i | − | 0.230843i | ||||||
\(309\) | 21.4055 | + | 13.6084i | 0.0692733 | + | 0.0440402i | ||||
\(310\) | −54.4378 | −0.175606 | ||||||||
\(311\) | 425.633i | 1.36859i | 0.729204 | + | 0.684297i | \(0.239891\pi\) | ||||
−0.729204 | + | 0.684297i | \(0.760109\pi\) | |||||||
\(312\) | 90.7889 | − | 142.807i | 0.290990 | − | 0.457715i | ||||
\(313\) | 399.201 | 1.27540 | 0.637702 | − | 0.770283i | \(-0.279885\pi\) | ||||
0.637702 | + | 0.770283i | \(0.279885\pi\) | |||||||
\(314\) | − | 30.5876i | − | 0.0974128i | ||||||
\(315\) | 48.2136 | − | 22.5931i | 0.153059 | − | 0.0717242i | ||||
\(316\) | −216.342 | −0.684627 | ||||||||
\(317\) | 237.853i | 0.750326i | 0.926959 | + | 0.375163i | \(0.122413\pi\) | ||||
−0.926959 | + | 0.375163i | \(0.877587\pi\) | |||||||
\(318\) | −129.769 | − | 82.5003i | −0.408079 | − | 0.259435i | ||||
\(319\) | −625.098 | −1.95956 | ||||||||
\(320\) | 17.8885i | 0.0559017i | ||||||||
\(321\) | 87.4794 | − | 137.601i | 0.272521 | − | 0.428664i | ||||
\(322\) | −22.9461 | −0.0712611 | ||||||||
\(323\) | − | 340.597i | − | 1.05448i | ||||||
\(324\) | 103.663 | − | 124.491i | 0.319947 | − | 0.384231i | ||||
\(325\) | 99.7157 | 0.306817 | ||||||||
\(326\) | 316.570i | 0.971075i | ||||||||
\(327\) | 258.724 | + | 164.483i | 0.791205 | + | 0.503005i | ||||
\(328\) | 176.917 | 0.539381 | ||||||||
\(329\) | − | 126.166i | − | 0.383483i | ||||||
\(330\) | 68.3886 | − | 107.572i | 0.207238 | − | 0.325976i | ||||
\(331\) | −300.437 | −0.907665 | −0.453832 | − | 0.891087i | \(-0.649944\pi\) | ||||
−0.453832 | + | 0.891087i | \(0.649944\pi\) | |||||||
\(332\) | 185.743i | 0.559466i | ||||||||
\(333\) | 247.299 | + | 527.734i | 0.742639 | + | 1.58479i | ||||
\(334\) | −407.263 | −1.21935 | ||||||||
\(335\) | 264.383i | 0.789204i | ||||||||
\(336\) | −26.7929 | − | 17.0335i | −0.0797408 | − | 0.0506949i | ||||
\(337\) | 19.8344 | 0.0588558 | 0.0294279 | − | 0.999567i | \(-0.490631\pi\) | ||||
0.0294279 | + | 0.999567i | \(0.490631\pi\) | |||||||
\(338\) | 323.471i | 0.957016i | ||||||||
\(339\) | −218.540 | + | 343.753i | −0.644660 | + | 1.01402i | ||||
\(340\) | −75.3758 | −0.221694 | ||||||||
\(341\) | − | 231.307i | − | 0.678321i | ||||||
\(342\) | 232.903 | − | 109.139i | 0.681002 | − | 0.319121i | ||||
\(343\) | 18.5203 | 0.0539949 | ||||||||
\(344\) | 200.908i | 0.584034i | ||||||||
\(345\) | −34.7169 | − | 22.0711i | −0.100629 | − | 0.0639742i | ||||
\(346\) | −408.805 | −1.18152 | ||||||||
\(347\) | 27.7575i | 0.0799929i | 0.999200 | + | 0.0399965i | \(0.0127347\pi\) | ||||
−0.999200 | + | 0.0399965i | \(0.987265\pi\) | |||||||
\(348\) | −149.756 | + | 235.559i | −0.430333 | + | 0.676894i | ||||
\(349\) | 299.360 | 0.857766 | 0.428883 | − | 0.903360i | \(-0.358907\pi\) | ||||
0.428883 | + | 0.903360i | \(0.358907\pi\) | |||||||
\(350\) | − | 18.7083i | − | 0.0534522i | ||||||
\(351\) | −68.7737 | + | 534.055i | −0.195936 | + | 1.52152i | ||||
\(352\) | −76.0088 | −0.215934 | ||||||||
\(353\) | 679.926i | 1.92614i | 0.269259 | + | 0.963068i | \(0.413221\pi\) | ||||
−0.269259 | + | 0.963068i | \(0.586779\pi\) | |||||||
\(354\) | 8.92048 | + | 5.67116i | 0.0251991 | + | 0.0160202i | ||||
\(355\) | −17.7704 | −0.0500575 | ||||||||
\(356\) | − | 10.7375i | − | 0.0301616i | ||||||
\(357\) | 71.7729 | − | 112.896i | 0.201045 | − | 0.316234i | ||||
\(358\) | −65.9164 | −0.184124 | ||||||||
\(359\) | 33.8301i | 0.0942344i | 0.998889 | + | 0.0471172i | \(0.0150034\pi\) | ||||
−0.998889 | + | 0.0471172i | \(0.984997\pi\) | |||||||
\(360\) | −24.1531 | − | 51.5425i | −0.0670919 | − | 0.143174i | ||||
\(361\) | 47.3645 | 0.131204 | ||||||||
\(362\) | − | 195.287i | − | 0.539466i | ||||||
\(363\) | 150.742 | + | 95.8334i | 0.415266 | + | 0.264004i | ||||
\(364\) | 105.529 | 0.289915 | ||||||||
\(365\) | − | 163.712i | − | 0.448525i | ||||||
\(366\) | 28.5545 | − | 44.9149i | 0.0780176 | − | 0.122718i | ||||
\(367\) | −300.646 | −0.819199 | −0.409599 | − | 0.912265i | \(-0.634332\pi\) | ||||
−0.409599 | + | 0.912265i | \(0.634332\pi\) | |||||||
\(368\) | 24.5304i | 0.0666587i | ||||||||
\(369\) | −509.753 | + | 238.873i | −1.38145 | + | 0.647352i | ||||
\(370\) | 204.776 | 0.553449 | ||||||||
\(371\) | − | 95.8948i | − | 0.258476i | ||||||
\(372\) | −87.1649 | − | 55.4147i | −0.234314 | − | 0.148964i | ||||
\(373\) | 119.661 | 0.320807 | 0.160403 | − | 0.987052i | \(-0.448720\pi\) | ||||
0.160403 | + | 0.987052i | \(0.448720\pi\) | |||||||
\(374\) | − | 320.274i | − | 0.856347i | ||||||
\(375\) | 17.9949 | − | 28.3052i | 0.0479864 | − | 0.0754805i | ||||
\(376\) | −134.877 | −0.358716 | ||||||||
\(377\) | − | 927.796i | − | 2.46100i | ||||||
\(378\) | 100.197 | + | 12.9031i | 0.265072 | + | 0.0341351i | ||||
\(379\) | 149.138 | 0.393504 | 0.196752 | − | 0.980453i | \(-0.436961\pi\) | ||||
0.196752 | + | 0.980453i | \(0.436961\pi\) | |||||||
\(380\) | − | 90.3731i | − | 0.237824i | ||||||
\(381\) | 458.492 | + | 291.485i | 1.20339 | + | 0.765052i | ||||
\(382\) | −27.8786 | −0.0729806 | ||||||||
\(383\) | 296.924i | 0.775257i | 0.921816 | + | 0.387629i | \(0.126706\pi\) | ||||
−0.921816 | + | 0.387629i | \(0.873294\pi\) | |||||||
\(384\) | −18.2096 | + | 28.6428i | −0.0474207 | + | 0.0745907i | ||||
\(385\) | 79.4919 | 0.206473 | ||||||||
\(386\) | − | 77.8705i | − | 0.201737i | ||||||
\(387\) | −271.265 | − | 578.878i | −0.700944 | − | 1.49581i | ||||
\(388\) | 17.1737 | 0.0442621 | ||||||||
\(389\) | − | 542.557i | − | 1.39475i | −0.716708 | − | 0.697374i | \(-0.754352\pi\) | ||
0.716708 | − | 0.697374i | \(-0.245648\pi\) | |||||||
\(390\) | 159.663 | + | 101.505i | 0.409392 | + | 0.260270i | ||||
\(391\) | −103.362 | −0.264353 | ||||||||
\(392\) | − | 19.7990i | − | 0.0505076i | ||||||
\(393\) | −6.46105 | + | 10.1630i | −0.0164403 | + | 0.0258599i | ||||
\(394\) | −319.183 | −0.810109 | ||||||||
\(395\) | − | 241.878i | − | 0.612349i | ||||||
\(396\) | 219.005 | − | 102.627i | 0.553043 | − | 0.259159i | ||||
\(397\) | −598.546 | −1.50767 | −0.753837 | − | 0.657062i | \(-0.771799\pi\) | ||||
−0.753837 | + | 0.657062i | \(0.771799\pi\) | |||||||
\(398\) | 265.136i | 0.666171i | ||||||||
\(399\) | 135.358 | + | 86.0533i | 0.339243 | + | 0.215672i | ||||
\(400\) | −20.0000 | −0.0500000 | ||||||||
\(401\) | − | 430.276i | − | 1.07301i | −0.843898 | − | 0.536504i | \(-0.819745\pi\) | ||
0.843898 | − | 0.536504i | \(-0.180255\pi\) | |||||||
\(402\) | −269.128 | + | 423.326i | −0.669472 | + | 1.05305i | ||||
\(403\) | 343.316 | 0.851901 | ||||||||
\(404\) | 77.6072i | 0.192097i | ||||||||
\(405\) | 139.185 | + | 115.899i | 0.343667 | + | 0.286169i | ||||
\(406\) | −174.070 | −0.428743 | ||||||||
\(407\) | 870.098i | 2.13783i | ||||||||
\(408\) | −120.691 | − | 76.7285i | −0.295810 | − | 0.188060i | ||||
\(409\) | −680.639 | −1.66415 | −0.832077 | − | 0.554661i | \(-0.812848\pi\) | ||||
−0.832077 | + | 0.554661i | \(0.812848\pi\) | |||||||
\(410\) | 197.799i | 0.482437i | ||||||||
\(411\) | 126.208 | − | 198.519i | 0.307075 | − | 0.483015i | ||||
\(412\) | 16.9100 | 0.0410437 | ||||||||
\(413\) | 6.59191i | 0.0159610i | ||||||||
\(414\) | −33.1209 | − | 70.6797i | −0.0800021 | − | 0.170724i | ||||
\(415\) | −207.667 | −0.500401 | ||||||||
\(416\) | − | 112.815i | − | 0.271191i | ||||||
\(417\) | 103.873 | + | 66.0366i | 0.249095 | + | 0.158361i | ||||
\(418\) | 383.997 | 0.918653 | ||||||||
\(419\) | − | 630.755i | − | 1.50538i | −0.658374 | − | 0.752691i | \(-0.728755\pi\) | ||
0.658374 | − | 0.752691i | \(-0.271245\pi\) | |||||||
\(420\) | 19.0440 | − | 29.9554i | 0.0453429 | − | 0.0713224i | ||||
\(421\) | 174.563 | 0.414638 | 0.207319 | − | 0.978273i | \(-0.433526\pi\) | ||||
0.207319 | + | 0.978273i | \(0.433526\pi\) | |||||||
\(422\) | 489.755i | 1.16056i | ||||||||
\(423\) | 388.623 | − | 182.111i | 0.918732 | − | 0.430522i | ||||
\(424\) | −102.516 | −0.241783 | ||||||||
\(425\) | − | 84.2728i | − | 0.198289i | ||||||
\(426\) | −28.4537 | − | 18.0893i | −0.0667928 | − | 0.0424632i | ||||
\(427\) | 33.1905 | 0.0777295 | ||||||||
\(428\) | − | 108.703i | − | 0.253979i | ||||||
\(429\) | −431.297 | + | 678.412i | −1.00536 | + | 1.58138i | ||||
\(430\) | −224.622 | −0.522376 | ||||||||
\(431\) | 380.300i | 0.882367i | 0.897417 | + | 0.441183i | \(0.145441\pi\) | ||||
−0.897417 | + | 0.441183i | \(0.854559\pi\) | |||||||
\(432\) | 13.7940 | − | 107.115i | 0.0319304 | − | 0.247953i | ||||
\(433\) | −673.009 | −1.55429 | −0.777146 | − | 0.629320i | \(-0.783334\pi\) | ||||
−0.777146 | + | 0.629320i | \(0.783334\pi\) | |||||||
\(434\) | − | 64.4117i | − | 0.148414i | ||||||
\(435\) | −263.363 | − | 167.432i | −0.605433 | − | 0.384901i | ||||
\(436\) | 204.388 | 0.468780 | ||||||||
\(437\) | − | 123.928i | − | 0.283587i | ||||||
\(438\) | 166.650 | − | 262.132i | 0.380478 | − | 0.598476i | ||||
\(439\) | 227.303 | 0.517775 | 0.258888 | − | 0.965907i | \(-0.416644\pi\) | ||||
0.258888 | + | 0.965907i | \(0.416644\pi\) | |||||||
\(440\) | − | 84.9804i | − | 0.193137i | ||||||
\(441\) | 26.7326 | + | 57.0471i | 0.0606180 | + | 0.129358i | ||||
\(442\) | 475.363 | 1.07548 | ||||||||
\(443\) | 583.446i | 1.31703i | 0.752566 | + | 0.658517i | \(0.228816\pi\) | ||||
−0.752566 | + | 0.658517i | \(0.771184\pi\) | |||||||
\(444\) | 327.884 | + | 208.451i | 0.738478 | + | 0.469484i | ||||
\(445\) | 12.0049 | 0.0269774 | ||||||||
\(446\) | 447.505i | 1.00338i | ||||||||
\(447\) | 35.4697 | − | 55.7923i | 0.0793506 | − | 0.124815i | ||||
\(448\) | −21.1660 | −0.0472456 | ||||||||
\(449\) | − | 513.491i | − | 1.14363i | −0.820382 | − | 0.571816i | \(-0.806239\pi\) | ||
0.820382 | − | 0.571816i | \(-0.193761\pi\) | |||||||
\(450\) | 57.6263 | − | 27.0040i | 0.128058 | − | 0.0600088i | ||||
\(451\) | −840.453 | −1.86353 | ||||||||
\(452\) | 271.560i | 0.600797i | ||||||||
\(453\) | 243.733 | + | 154.952i | 0.538043 | + | 0.342058i | ||||
\(454\) | 11.0105 | 0.0242522 | ||||||||
\(455\) | 117.985i | 0.259308i | ||||||||
\(456\) | 91.9948 | − | 144.704i | 0.201743 | − | 0.317333i | ||||
\(457\) | 639.473 | 1.39928 | 0.699642 | − | 0.714493i | \(-0.253343\pi\) | ||||
0.699642 | + | 0.714493i | \(0.253343\pi\) | |||||||
\(458\) | − | 172.383i | − | 0.376382i | ||||||
\(459\) | 451.346 | + | 58.1227i | 0.983324 | + | 0.126629i | ||||
\(460\) | −27.4258 | −0.0596213 | ||||||||
\(461\) | − | 482.830i | − | 1.04735i | −0.851917 | − | 0.523677i | \(-0.824560\pi\) | ||
0.851917 | − | 0.523677i | \(-0.175440\pi\) | |||||||
\(462\) | 127.281 | + | 80.9184i | 0.275500 | + | 0.175148i | ||||
\(463\) | −328.508 | −0.709521 | −0.354760 | − | 0.934957i | \(-0.615438\pi\) | ||||
−0.354760 | + | 0.934957i | \(0.615438\pi\) | |||||||
\(464\) | 186.088i | 0.401053i | ||||||||
\(465\) | 61.9555 | − | 97.4533i | 0.133238 | − | 0.209577i | ||||
\(466\) | 113.360 | 0.243262 | ||||||||
\(467\) | − | 212.890i | − | 0.455868i | −0.973677 | − | 0.227934i | \(-0.926803\pi\) | ||
0.973677 | − | 0.227934i | \(-0.0731970\pi\) | |||||||
\(468\) | 152.323 | + | 325.057i | 0.325477 | + | 0.694565i | ||||
\(469\) | −312.823 | −0.666999 | ||||||||
\(470\) | − | 150.797i | − | 0.320845i | ||||||
\(471\) | 54.7573 | + | 34.8117i | 0.116257 | + | 0.0739102i | ||||
\(472\) | 7.04705 | 0.0149302 | ||||||||
\(473\) | − | 954.423i | − | 2.01781i | ||||||
\(474\) | 246.219 | − | 387.291i | 0.519449 | − | 0.817070i | ||||
\(475\) | 101.040 | 0.212716 | ||||||||
\(476\) | − | 89.1859i | − | 0.187365i | ||||||
\(477\) | 295.380 | − | 138.417i | 0.619246 | − | 0.290182i | ||||
\(478\) | 164.410 | 0.343954 | ||||||||
\(479\) | − | 102.615i | − | 0.214228i | −0.994247 | − | 0.107114i | \(-0.965839\pi\) | ||
0.994247 | − | 0.107114i | \(-0.0341610\pi\) | |||||||
\(480\) | −32.0237 | − | 20.3589i | −0.0667160 | − | 0.0424144i | ||||
\(481\) | −1291.44 | −2.68490 | ||||||||
\(482\) | 133.999i | 0.278006i | ||||||||
\(483\) | 26.1149 | − | 41.0775i | 0.0540681 | − | 0.0850467i | ||||
\(484\) | 119.084 | 0.246041 | ||||||||
\(485\) | 19.2008i | 0.0395893i | ||||||||
\(486\) | 104.882 | + | 327.258i | 0.215807 | + | 0.673370i | ||||
\(487\) | 23.7100 | 0.0486858 | 0.0243429 | − | 0.999704i | \(-0.492251\pi\) | ||||
0.0243429 | + | 0.999704i | \(0.492251\pi\) | |||||||
\(488\) | − | 35.4821i | − | 0.0727092i | ||||||
\(489\) | −566.717 | − | 360.288i | −1.15893 | − | 0.736785i | ||||
\(490\) | 22.1359 | 0.0451754 | ||||||||
\(491\) | − | 163.277i | − | 0.332540i | −0.986080 | − | 0.166270i | \(-0.946828\pi\) | ||
0.986080 | − | 0.166270i | \(-0.0531723\pi\) | |||||||
\(492\) | −201.349 | + | 316.713i | −0.409246 | + | 0.643725i | ||||
\(493\) | −784.109 | −1.59048 | ||||||||
\(494\) | 569.944i | 1.15373i | ||||||||
\(495\) | 114.740 | + | 244.855i | 0.231799 | + | 0.494657i | ||||
\(496\) | −68.8590 | −0.138829 | ||||||||
\(497\) | − | 21.0263i | − | 0.0423064i | ||||||
\(498\) | −332.512 | − | 211.393i | −0.667695 | − | 0.424484i | ||||
\(499\) | 311.153 | 0.623553 | 0.311776 | − | 0.950156i | \(-0.399076\pi\) | ||||
0.311776 | + | 0.950156i | \(0.399076\pi\) | |||||||
\(500\) | − | 22.3607i | − | 0.0447214i | ||||||
\(501\) | 463.505 | − | 729.074i | 0.925161 | − | 1.45524i | ||||
\(502\) | 66.2386 | 0.131949 | ||||||||
\(503\) | 875.585i | 1.74073i | 0.492411 | + | 0.870363i | \(0.336116\pi\) | ||||
−0.492411 | + | 0.870363i | \(0.663884\pi\) | |||||||
\(504\) | 60.9859 | − | 28.5783i | 0.121004 | − | 0.0567030i | ||||
\(505\) | −86.7675 | −0.171817 | ||||||||
\(506\) | − | 116.533i | − | 0.230302i | ||||||
\(507\) | −579.071 | − | 368.142i | −1.14215 | − | 0.726118i | ||||
\(508\) | 362.202 | 0.712997 | ||||||||
\(509\) | − | 151.027i | − | 0.296713i | −0.988934 | − | 0.148356i | \(-0.952602\pi\) | ||
0.988934 | − | 0.148356i | \(-0.0473983\pi\) | |||||||
\(510\) | 85.7851 | − | 134.936i | 0.168206 | − | 0.264581i | ||||
\(511\) | 193.706 | 0.379073 | ||||||||
\(512\) | 22.6274i | 0.0441942i | ||||||||
\(513\) | −69.6871 | + | 541.148i | −0.135842 | + | 1.05487i | ||||
\(514\) | −82.2135 | −0.159948 | ||||||||
\(515\) | 18.9059i | 0.0367106i | ||||||||
\(516\) | −359.661 | − | 228.653i | −0.697017 | − | 0.443125i | ||||
\(517\) | 640.741 | 1.23934 | ||||||||
\(518\) | 242.294i | 0.467750i | ||||||||
\(519\) | 465.260 | − | 731.833i | 0.896454 | − | 1.41008i | ||||
\(520\) | 126.131 | 0.242561 | ||||||||
\(521\) | 974.956i | 1.87132i | 0.352906 | + | 0.935659i | \(0.385193\pi\) | ||||
−0.352906 | + | 0.935659i | \(0.614807\pi\) | |||||||
\(522\) | −251.256 | − | 536.179i | −0.481334 | − | 1.02716i | ||||
\(523\) | −103.233 | −0.197386 | −0.0986932 | − | 0.995118i | \(-0.531466\pi\) | ||||
−0.0986932 | + | 0.995118i | \(0.531466\pi\) | |||||||
\(524\) | 8.02858i | 0.0153217i | ||||||||
\(525\) | 33.4911 | + | 21.2919i | 0.0637927 | + | 0.0405559i | ||||
\(526\) | 526.754 | 1.00143 | ||||||||
\(527\) | − | 290.147i | − | 0.550563i | ||||||
\(528\) | 86.5054 | − | 136.069i | 0.163836 | − | 0.257707i | ||||
\(529\) | 491.391 | 0.928906 | ||||||||
\(530\) | − | 114.616i | − | 0.216257i | ||||||
\(531\) | −20.3048 | + | 9.51491i | −0.0382387 | + | 0.0179189i | ||||
\(532\) | 106.931 | 0.200998 | ||||||||
\(533\) | − | 1247.44i | − | 2.34040i | ||||||
\(534\) | 19.2221 | + | 12.2204i | 0.0359965 | + | 0.0228846i | ||||
\(535\) | 121.534 | 0.227166 | ||||||||
\(536\) | 334.421i | 0.623920i | ||||||||
\(537\) | 75.0193 | − | 118.002i | 0.139701 | − | 0.219743i | ||||
\(538\) | 280.837 | 0.522001 | ||||||||
\(539\) | 94.0561i | 0.174501i | ||||||||
\(540\) | 119.759 | + | 15.4221i | 0.221775 | + | 0.0285595i | ||||
\(541\) | −195.027 | −0.360493 | −0.180247 | − | 0.983621i | \(-0.557690\pi\) | ||||
−0.180247 | + | 0.983621i | \(0.557690\pi\) | |||||||
\(542\) | 472.660i | 0.872067i | ||||||||
\(543\) | 349.598 | + | 222.255i | 0.643826 | + | 0.409310i | ||||
\(544\) | −95.3437 | −0.175264 | ||||||||
\(545\) | 228.513i | 0.419290i | ||||||||
\(546\) | −120.102 | + | 188.916i | −0.219968 | + | 0.346000i | ||||
\(547\) | 340.245 | 0.622019 | 0.311010 | − | 0.950407i | \(-0.399333\pi\) | ||||
0.311010 | + | 0.950407i | \(0.399333\pi\) | |||||||
\(548\) | − | 156.827i | − | 0.286181i | ||||||
\(549\) | 47.9079 | + | 102.235i | 0.0872639 | + | 0.186221i | ||||
\(550\) | 95.0110 | 0.172747 | ||||||||
\(551\) | − | 940.120i | − | 1.70621i | ||||||
\(552\) | −43.9137 | − | 27.9180i | −0.0795539 | − | 0.0505760i | ||||
\(553\) | 286.194 | 0.517530 | ||||||||
\(554\) | 659.847i | 1.19106i | ||||||||
\(555\) | −233.055 | + | 366.586i | −0.419919 | + | 0.660515i | ||||
\(556\) | 82.0579 | 0.147586 | ||||||||
\(557\) | 211.476i | 0.379669i | 0.981816 | + | 0.189834i | \(0.0607951\pi\) | ||||
−0.981816 | + | 0.189834i | \(0.939205\pi\) | |||||||
\(558\) | 198.404 | − | 92.9732i | 0.355563 | − | 0.166619i | ||||
\(559\) | 1416.59 | 2.53416 | ||||||||
\(560\) | − | 23.6643i | − | 0.0422577i | ||||||
\(561\) | 573.346 | + | 364.503i | 1.02201 | + | 0.649737i | ||||
\(562\) | −730.656 | −1.30010 | ||||||||
\(563\) | − | 265.804i | − | 0.472120i | −0.971738 | − | 0.236060i | \(-0.924144\pi\) | ||
0.971738 | − | 0.236060i | \(-0.0758562\pi\) | |||||||
\(564\) | 153.503 | − | 241.454i | 0.272169 | − | 0.428110i | ||||
\(565\) | −303.614 | −0.537369 | ||||||||
\(566\) | − | 674.042i | − | 1.19089i | ||||||
\(567\) | −137.133 | + | 164.686i | −0.241857 | + | 0.290452i | ||||
\(568\) | −22.4780 | −0.0395740 | ||||||||
\(569\) | 211.136i | 0.371066i | 0.982638 | + | 0.185533i | \(0.0594011\pi\) | ||||
−0.982638 | + | 0.185533i | \(0.940599\pi\) | |||||||
\(570\) | 161.784 | + | 102.853i | 0.283831 | + | 0.180444i | ||||
\(571\) | 701.534 | 1.22861 | 0.614303 | − | 0.789070i | \(-0.289437\pi\) | ||||
0.614303 | + | 0.789070i | \(0.289437\pi\) | |||||||
\(572\) | 535.935i | 0.936950i | ||||||||
\(573\) | 31.7285 | − | 49.9076i | 0.0553727 | − | 0.0870988i | ||||
\(574\) | −234.039 | −0.407734 | ||||||||
\(575\) | − | 30.6630i | − | 0.0533269i | ||||||
\(576\) | −30.5515 | − | 65.1967i | −0.0530408 | − | 0.113189i | ||||
\(577\) | 636.245 | 1.10268 | 0.551339 | − | 0.834281i | \(-0.314117\pi\) | ||||
0.551339 | + | 0.834281i | \(0.314117\pi\) | |||||||
\(578\) | 6.96374i | 0.0120480i | ||||||||
\(579\) | 139.402 | + | 88.6242i | 0.240763 | + | 0.153064i | ||||
\(580\) | −208.053 | −0.358712 | ||||||||
\(581\) | − | 245.714i | − | 0.422916i | ||||||
\(582\) | −19.5454 | + | 30.7440i | −0.0335831 | + | 0.0528247i | ||||
\(583\) | 487.007 | 0.835346 | ||||||||
\(584\) | − | 207.081i | − | 0.354590i | ||||||
\(585\) | −363.424 | + | 170.302i | −0.621238 | + | 0.291115i | ||||
\(586\) | −240.349 | −0.410151 | ||||||||
\(587\) | 183.730i | 0.312998i | 0.987678 | + | 0.156499i | \(0.0500209\pi\) | ||||
−0.987678 | + | 0.156499i | \(0.949979\pi\) | |||||||
\(588\) | 35.4437 | + | 22.5332i | 0.0602784 | + | 0.0383217i | ||||
\(589\) | 347.876 | 0.590621 | ||||||||
\(590\) | 7.87884i | 0.0133540i | ||||||||
\(591\) | 363.261 | − | 571.394i | 0.614655 | − | 0.966825i | ||||
\(592\) | 259.024 | 0.437540 | ||||||||
\(593\) | − | 383.317i | − | 0.646403i | −0.946330 | − | 0.323202i | \(-0.895241\pi\) | ||
0.946330 | − | 0.323202i | \(-0.104759\pi\) | |||||||
\(594\) | −65.5289 | + | 508.858i | −0.110318 | + | 0.856663i | ||||
\(595\) | 99.7129 | 0.167585 | ||||||||
\(596\) | − | 44.0751i | − | 0.0739515i | ||||||
\(597\) | −474.641 | − | 301.751i | −0.795043 | − | 0.505445i | ||||
\(598\) | 172.963 | 0.289236 | ||||||||
\(599\) | 508.749i | 0.849331i | 0.905350 | + | 0.424666i | \(0.139608\pi\) | ||||
−0.905350 | + | 0.424666i | \(0.860392\pi\) | |||||||
\(600\) | 22.7619 | − | 35.8035i | 0.0379366 | − | 0.0596726i | ||||
\(601\) | −268.140 | −0.446157 | −0.223079 | − | 0.974800i | \(-0.571611\pi\) | ||||
−0.223079 | + | 0.974800i | \(0.571611\pi\) | |||||||
\(602\) | − | 265.776i | − | 0.441489i | ||||||
\(603\) | −451.535 | − | 963.573i | −0.748814 | − | 1.59796i | ||||
\(604\) | 192.546 | 0.318784 | ||||||||
\(605\) | 133.140i | 0.220065i | ||||||||
\(606\) | −138.931 | − | 88.3246i | −0.229258 | − | 0.145750i | ||||
\(607\) | −553.549 | −0.911942 | −0.455971 | − | 0.889995i | \(-0.650708\pi\) | ||||
−0.455971 | + | 0.889995i | \(0.650708\pi\) | |||||||
\(608\) | − | 114.314i | − | 0.188016i | ||||||
\(609\) | 198.108 | − | 311.616i | 0.325301 | − | 0.511684i | ||||
\(610\) | 39.6702 | 0.0650331 | ||||||||
\(611\) | 951.014i | 1.55649i | ||||||||
\(612\) | 274.715 | − | 128.733i | 0.448881 | − | 0.210348i | ||||
\(613\) | −1059.92 | −1.72907 | −0.864534 | − | 0.502574i | \(-0.832386\pi\) | ||||
−0.864534 | + | 0.502574i | \(0.832386\pi\) | |||||||
\(614\) | − | 441.398i | − | 0.718889i | ||||||
\(615\) | −354.096 | − | 225.115i | −0.575765 | − | 0.366040i | ||||
\(616\) | 100.550 | 0.163231 | ||||||||
\(617\) | − | 767.572i | − | 1.24404i | −0.783002 | − | 0.622020i | \(-0.786312\pi\) | ||
0.783002 | − | 0.622020i | \(-0.213688\pi\) | |||||||
\(618\) | −19.2452 | + | 30.2719i | −0.0311411 | + | 0.0489836i | ||||
\(619\) | −253.548 | −0.409608 | −0.204804 | − | 0.978803i | \(-0.565656\pi\) | ||||
−0.204804 | + | 0.978803i | \(0.565656\pi\) | |||||||
\(620\) | − | 76.9867i | − | 0.124172i | ||||||
\(621\) | 164.224 | + | 21.1482i | 0.264451 | + | 0.0340551i | ||||
\(622\) | −601.935 | −0.967742 | ||||||||
\(623\) | 14.2044i | 0.0228001i | ||||||||
\(624\) | 201.960 | + | 128.395i | 0.323653 | + | 0.205761i | ||||
\(625\) | 25.0000 | 0.0400000 | ||||||||
\(626\) | 564.556i | 0.901847i | ||||||||
\(627\) | −437.026 | + | 687.423i | −0.697011 | + | 1.09637i | ||||
\(628\) | 43.2574 | 0.0688813 | ||||||||
\(629\) | 1091.43i | 1.73519i | ||||||||
\(630\) | 31.9515 | + | 68.1843i | 0.0507167 | + | 0.108229i | ||||
\(631\) | 906.659 | 1.43686 | 0.718430 | − | 0.695599i | \(-0.244861\pi\) | ||||
0.718430 | + | 0.695599i | \(0.244861\pi\) | |||||||
\(632\) | − | 305.954i | − | 0.484105i | ||||||
\(633\) | −876.747 | − | 557.388i | −1.38507 | − | 0.880550i | ||||
\(634\) | −336.375 | −0.530560 | ||||||||
\(635\) | 404.954i | 0.637724i | ||||||||
\(636\) | 116.673 | − | 183.521i | 0.183448 | − | 0.288556i | ||||
\(637\) | −139.602 | −0.219155 | ||||||||
\(638\) | − | 884.022i | − | 1.38561i | ||||||
\(639\) | 64.7662 | − | 30.3498i | 0.101356 | − | 0.0474957i | ||||
\(640\) | −25.2982 | −0.0395285 | ||||||||
\(641\) | − | 274.632i | − | 0.428444i | −0.976785 | − | 0.214222i | \(-0.931278\pi\) | ||
0.976785 | − | 0.214222i | \(-0.0687215\pi\) | |||||||
\(642\) | 194.598 | + | 123.715i | 0.303111 | + | 0.192702i | ||||
\(643\) | 330.746 | 0.514380 | 0.257190 | − | 0.966361i | \(-0.417203\pi\) | ||||
0.257190 | + | 0.966361i | \(0.417203\pi\) | |||||||
\(644\) | − | 32.4507i | − | 0.0503892i | ||||||
\(645\) | 255.642 | − | 402.113i | 0.396343 | − | 0.623431i | ||||
\(646\) | 481.677 | 0.745630 | ||||||||
\(647\) | 1040.01i | 1.60743i | 0.595012 | + | 0.803717i | \(0.297147\pi\) | ||||
−0.595012 | + | 0.803717i | \(0.702853\pi\) | |||||||
\(648\) | 176.057 | + | 146.601i | 0.271693 | + | 0.226237i | ||||
\(649\) | −33.4774 | −0.0515830 | ||||||||
\(650\) | 141.019i | 0.216953i | ||||||||
\(651\) | 115.308 | + | 73.3068i | 0.177125 | + | 0.112606i | ||||
\(652\) | −447.698 | −0.686654 | ||||||||
\(653\) | − | 154.399i | − | 0.236445i | −0.992987 | − | 0.118223i | \(-0.962280\pi\) | ||
0.992987 | − | 0.118223i | \(-0.0377196\pi\) | |||||||
\(654\) | −232.614 | + | 365.891i | −0.355678 | + | 0.559466i | ||||
\(655\) | −8.97623 | −0.0137042 | ||||||||
\(656\) | 250.198i | 0.381400i | ||||||||
\(657\) | 279.600 | + | 596.664i | 0.425571 | + | 0.908165i | ||||
\(658\) | 178.426 | 0.271164 | ||||||||
\(659\) | 1001.79i | 1.52016i | 0.649830 | + | 0.760080i | \(0.274840\pi\) | ||||
−0.649830 | + | 0.760080i | \(0.725160\pi\) | |||||||
\(660\) | 152.130 | + | 96.7160i | 0.230500 | + | 0.146539i | ||||
\(661\) | 1000.37 | 1.51342 | 0.756711 | − | 0.653749i | \(-0.226805\pi\) | ||||
0.756711 | + | 0.653749i | \(0.226805\pi\) | |||||||
\(662\) | − | 424.882i | − | 0.641816i | ||||||
\(663\) | −541.010 | + | 850.985i | −0.816003 | + | 1.28354i | ||||
\(664\) | −262.680 | −0.395602 | ||||||||
\(665\) | 119.552i | 0.179778i | ||||||||
\(666\) | −746.328 | + | 349.733i | −1.12061 | + | 0.525125i | ||||
\(667\) | −285.301 | −0.427738 | ||||||||
\(668\) | − | 575.957i | − | 0.862212i | ||||||
\(669\) | −801.114 | − | 509.305i | −1.19748 | − | 0.761293i | ||||
\(670\) | −373.894 | −0.558051 | ||||||||
\(671\) | 168.560i | 0.251207i | ||||||||
\(672\) | 24.0890 | − | 37.8909i | 0.0358467 | − | 0.0563853i | ||||
\(673\) | −564.565 | −0.838878 | −0.419439 | − | 0.907784i | \(-0.637773\pi\) | ||||
−0.419439 | + | 0.907784i | \(0.637773\pi\) | |||||||
\(674\) | 28.0501i | 0.0416174i | ||||||||
\(675\) | −17.2424 | + | 133.894i | −0.0255444 | + | 0.198362i | ||||
\(676\) | −457.457 | −0.676712 | ||||||||
\(677\) | 401.550i | 0.593131i | 0.955013 | + | 0.296566i | \(0.0958413\pi\) | ||||
−0.955013 | + | 0.296566i | \(0.904159\pi\) | |||||||
\(678\) | −486.141 | − | 309.062i | −0.717022 | − | 0.455844i | ||||
\(679\) | −22.7187 | −0.0334590 | ||||||||
\(680\) | − | 106.598i | − | 0.156761i | ||||||
\(681\) | −12.5310 | + | 19.7108i | −0.0184009 | + | 0.0289439i | ||||
\(682\) | 327.118 | 0.479645 | ||||||||
\(683\) | − | 860.803i | − | 1.26033i | −0.776463 | − | 0.630163i | \(-0.782988\pi\) | ||
0.776463 | − | 0.630163i | \(-0.217012\pi\) | |||||||
\(684\) | 154.346 | + | 329.374i | 0.225653 | + | 0.481541i | ||||
\(685\) | 175.338 | 0.255968 | ||||||||
\(686\) | 26.1916i | 0.0381802i | ||||||||
\(687\) | 308.596 | + | 196.189i | 0.449193 | + | 0.285573i | ||||
\(688\) | −284.127 | −0.412975 | ||||||||
\(689\) | 722.835i | 1.04911i | ||||||||
\(690\) | 31.2132 | − | 49.0971i | 0.0452366 | − | 0.0711552i | ||||
\(691\) | −40.0935 | −0.0580224 | −0.0290112 | − | 0.999579i | \(-0.509236\pi\) | ||||
−0.0290112 | + | 0.999579i | \(0.509236\pi\) | |||||||
\(692\) | − | 578.137i | − | 0.835458i | ||||||
\(693\) | −289.717 | + | 135.763i | −0.418062 | + | 0.195906i | ||||
\(694\) | −39.2551 | −0.0565635 | ||||||||
\(695\) | 91.7435i | 0.132005i | ||||||||
\(696\) | −333.131 | − | 211.787i | −0.478637 | − | 0.304291i | ||||
\(697\) | −1054.25 | −1.51255 | ||||||||
\(698\) | 423.360i | 0.606532i | ||||||||
\(699\) | −129.015 | + | 202.935i | −0.184571 | + | 0.290321i | ||||
\(700\) | 26.4575 | 0.0377964 | ||||||||
\(701\) | 888.946i | 1.26811i | 0.773287 | + | 0.634056i | \(0.218611\pi\) | ||||
−0.773287 | + | 0.634056i | \(0.781389\pi\) | |||||||
\(702\) | −755.267 | − | 97.2606i | −1.07588 | − | 0.138548i | ||||
\(703\) | −1308.59 | −1.86144 | ||||||||
\(704\) | − | 107.493i | − | 0.152688i | ||||||
\(705\) | 269.954 | + | 171.622i | 0.382913 | + | 0.243435i | ||||
\(706\) | −961.560 | −1.36198 | ||||||||
\(707\) | − | 102.665i | − | 0.145212i | ||||||
\(708\) | −8.02023 | + | 12.6155i | −0.0113280 | + | 0.0178185i | ||||
\(709\) | 642.421 | 0.906094 | 0.453047 | − | 0.891487i | \(-0.350337\pi\) | ||||
0.453047 | + | 0.891487i | \(0.350337\pi\) | |||||||
\(710\) | − | 25.1312i | − | 0.0353960i | ||||||
\(711\) | 413.099 | + | 881.550i | 0.581011 | + | 1.23987i | ||||
\(712\) | 15.1852 | 0.0213275 | ||||||||
\(713\) | − | 105.571i | − | 0.148066i | ||||||
\(714\) | 159.659 | + | 101.502i | 0.223611 | + | 0.142160i | ||||
\(715\) | −599.194 | −0.838034 | ||||||||
\(716\) | − | 93.2199i | − | 0.130195i | ||||||
\(717\) | −187.114 | + | 294.323i | −0.260969 | + | 0.410492i | ||||
\(718\) | −47.8430 | −0.0666338 | ||||||||
\(719\) | 268.325i | 0.373192i | 0.982437 | + | 0.186596i | \(0.0597456\pi\) | ||||
−0.982437 | + | 0.186596i | \(0.940254\pi\) | |||||||
\(720\) | 72.8921 | − | 34.1576i | 0.101239 | − | 0.0474411i | ||||
\(721\) | −22.3698 | −0.0310261 | ||||||||
\(722\) | 66.9835i | 0.0927750i | ||||||||
\(723\) | −239.882 | − | 152.504i | −0.331787 | − | 0.210932i | ||||
\(724\) | 276.177 | 0.381460 | ||||||||
\(725\) | − | 232.610i | − | 0.320842i | ||||||
\(726\) | −135.529 | + | 213.181i | −0.186679 | + | 0.293638i | ||||
\(727\) | 23.6995 | 0.0325991 | 0.0162995 | − | 0.999867i | \(-0.494811\pi\) | ||||
0.0162995 | + | 0.999867i | \(0.494811\pi\) | |||||||
\(728\) | 149.241i | 0.205001i | ||||||||
\(729\) | −705.216 | − | 184.693i | −0.967374 | − | 0.253351i | ||||
\(730\) | 231.523 | 0.317155 | ||||||||
\(731\) | − | 1197.21i | − | 1.63777i | ||||||
\(732\) | 63.5193 | + | 40.3821i | 0.0867749 | + | 0.0551668i | ||||
\(733\) | 308.228 | 0.420502 | 0.210251 | − | 0.977647i | \(-0.432572\pi\) | ||||
0.210251 | + | 0.977647i | \(0.432572\pi\) | |||||||
\(734\) | − | 425.178i | − | 0.579261i | ||||||
\(735\) | −25.1929 | + | 39.6273i | −0.0342760 | + | 0.0539146i | ||||
\(736\) | −34.6912 | −0.0471348 | ||||||||
\(737\) | − | 1588.69i | − | 2.15561i | ||||||
\(738\) | −337.817 | − | 720.900i | −0.457747 | − | 0.976830i | ||||
\(739\) | 916.303 | 1.23992 | 0.619961 | − | 0.784632i | \(-0.287148\pi\) | ||||
0.619961 | + | 0.784632i | \(0.287148\pi\) | |||||||
\(740\) | 289.597i | 0.391348i | ||||||||
\(741\) | −1020.30 | − | 648.652i | −1.37692 | − | 0.875374i | ||||
\(742\) | 135.616 | 0.182770 | ||||||||
\(743\) | 1037.07i | 1.39579i | 0.716199 | + | 0.697896i | \(0.245880\pi\) | ||||
−0.716199 | + | 0.697896i | \(0.754120\pi\) | |||||||
\(744\) | 78.3682 | − | 123.270i | 0.105334 | − | 0.165685i | ||||
\(745\) | 49.2775 | 0.0661442 | ||||||||
\(746\) | 169.226i | 0.226845i | ||||||||
\(747\) | 756.862 | − | 354.670i | 1.01320 | − | 0.474792i | ||||
\(748\) | 452.935 | 0.605528 | ||||||||
\(749\) | 143.800i | 0.191990i | ||||||||
\(750\) | 40.0296 | + | 25.4486i | 0.0533728 | + | 0.0339315i | ||||
\(751\) | −16.8752 | −0.0224703 | −0.0112352 | − | 0.999937i | \(-0.503576\pi\) | ||||
−0.0112352 | + | 0.999937i | \(0.503576\pi\) | |||||||
\(752\) | − | 190.745i | − | 0.253650i | ||||||
\(753\) | −75.3860 | + | 118.579i | −0.100114 | + | 0.157475i | ||||
\(754\) | 1312.10 | 1.74019 | ||||||||
\(755\) | 215.273i | 0.285129i | ||||||||
\(756\) | −18.2477 | + | 141.700i | −0.0241371 | + | 0.187434i | ||||
\(757\) | 478.309 | 0.631848 | 0.315924 | − | 0.948784i | \(-0.397685\pi\) | ||||
0.315924 | + | 0.948784i | \(0.397685\pi\) | |||||||
\(758\) | 210.913i | 0.278249i | ||||||||
\(759\) | 208.614 | + | 132.626i | 0.274854 | + | 0.174738i | ||||
\(760\) | 127.807 | 0.168167 | ||||||||
\(761\) | − | 1498.03i | − | 1.96850i | −0.176790 | − | 0.984249i | \(-0.556571\pi\) | ||
0.176790 | − | 0.984249i | \(-0.443429\pi\) | |||||||
\(762\) | −412.222 | + | 648.406i | −0.540973 | + | 0.850927i | ||||
\(763\) | −270.380 | −0.354365 | ||||||||
\(764\) | − | 39.4263i | − | 0.0516051i | ||||||
\(765\) | 143.928 | + | 307.141i | 0.188141 | + | 0.401491i | ||||
\(766\) | −419.913 | −0.548190 | ||||||||
\(767\) | − | 49.6885i | − | 0.0647829i | ||||||
\(768\) | −40.5071 | − | 25.7522i | −0.0527436 | − | 0.0335315i | ||||
\(769\) | −116.918 | −0.152038 | −0.0760192 | − | 0.997106i | \(-0.524221\pi\) | ||||
−0.0760192 | + | 0.997106i | \(0.524221\pi\) | |||||||
\(770\) | 112.419i | 0.145998i | ||||||||
\(771\) | 93.5670 | − | 147.177i | 0.121358 | − | 0.190891i | ||||
\(772\) | 110.125 | 0.142650 | ||||||||
\(773\) | 1151.33i | 1.48943i | 0.667385 | + | 0.744713i | \(0.267414\pi\) | ||||
−0.667385 | + | 0.744713i | \(0.732586\pi\) | |||||||
\(774\) | 818.658 | − | 383.627i | 1.05770 | − | 0.495642i | ||||
\(775\) | 86.0737 | 0.111063 | ||||||||
\(776\) | 24.2873i | 0.0312981i | ||||||||
\(777\) | −433.750 | − | 275.755i | −0.558237 | − | 0.354897i | ||||
\(778\) | 767.291 | 0.986235 | ||||||||
\(779\) | − | 1264.00i | − | 1.62260i | ||||||
\(780\) | −143.550 | + | 225.798i | −0.184038 | + | 0.289484i | ||||
\(781\) | 106.783 | 0.136726 | ||||||||
\(782\) | − | 146.176i | − | 0.186926i | ||||||
\(783\) | 1245.81 | + | 160.431i | 1.59107 | + | 0.204893i | ||||
\(784\) | 28.0000 | 0.0357143 | ||||||||
\(785\) | 48.3633i | 0.0616093i | ||||||||
\(786\) | −14.3726 | − | 9.13731i | −0.0182857 | − | 0.0116251i | ||||
\(787\) | −453.417 | −0.576133 | −0.288066 | − | 0.957610i | \(-0.593012\pi\) | ||||
−0.288066 | + | 0.957610i | \(0.593012\pi\) | |||||||
\(788\) | − | 451.393i | − | 0.572833i | ||||||
\(789\) | −599.498 | + | 942.983i | −0.759819 | + | 1.19516i | ||||
\(790\) | 342.067 | 0.432996 | ||||||||
\(791\) | − | 359.240i | − | 0.454160i | ||||||
\(792\) | 145.136 | + | 309.720i | 0.183253 | + | 0.391061i | ||||
\(793\) | −250.183 | −0.315489 | ||||||||
\(794\) | − | 846.472i | − | 1.06609i | ||||||
\(795\) | 205.183 | + | 130.444i | 0.258092 | + | 0.164081i | ||||
\(796\) | −374.959 | −0.471054 | ||||||||
\(797\) | − | 473.995i | − | 0.594724i | −0.954765 | − | 0.297362i | \(-0.903893\pi\) | ||
0.954765 | − | 0.297362i | \(-0.0961067\pi\) | |||||||
\(798\) | −121.698 | + | 191.425i | −0.152503 | + | 0.239881i | ||||
\(799\) | 803.731 | 1.00592 | ||||||||
\(800\) | − | 28.2843i | − | 0.0353553i | ||||||
\(801\) | −43.7533 | + | 20.5030i | −0.0546233 | + | 0.0255968i | ||||
\(802\) | 608.502 | 0.758731 | ||||||||
\(803\) | 983.747i | 1.22509i | ||||||||
\(804\) | −598.673 | − | 380.604i | −0.744619 | − | 0.473388i | ||||
\(805\) | 36.2809 | 0.0450695 | ||||||||
\(806\) | 485.522i | 0.602385i | ||||||||
\(807\) | −319.620 | + | 502.747i | −0.396059 | + | 0.622983i | ||||
\(808\) | −109.753 | −0.135833 | ||||||||
\(809\) | 875.429i | 1.08211i | 0.840986 | + | 0.541056i | \(0.181975\pi\) | ||||
−0.840986 | + | 0.541056i | \(0.818025\pi\) | |||||||
\(810\) | −163.905 | + | 196.838i | −0.202352 | + | 0.243009i | ||||
\(811\) | −764.492 | −0.942653 | −0.471326 | − | 0.881959i | \(-0.656225\pi\) | ||||
−0.471326 | + | 0.881959i | \(0.656225\pi\) | |||||||
\(812\) | − | 246.172i | − | 0.303167i | ||||||
\(813\) | −846.145 | − | 537.933i | −1.04077 | − | 0.661665i | ||||
\(814\) | −1230.50 | −1.51168 | ||||||||
\(815\) | − | 500.542i | − | 0.614162i | ||||||
\(816\) | 108.510 | − | 170.682i | 0.132979 | − | 0.209169i | ||||
\(817\) | 1435.41 | 1.75693 | ||||||||
\(818\) | − | 962.568i | − | 1.17673i | ||||||
\(819\) | −201.505 | − | 430.009i | −0.246037 | − | 0.525042i | ||||
\(820\) | −279.730 | −0.341135 | ||||||||
\(821\) | − | 531.214i | − | 0.647032i | −0.946223 | − | 0.323516i | \(-0.895135\pi\) | ||
0.946223 | − | 0.323516i | \(-0.104865\pi\) | |||||||
\(822\) | 280.748 | + | 178.485i | 0.341543 | + | 0.217135i | ||||
\(823\) | −655.979 | −0.797059 | −0.398529 | − | 0.917156i | \(-0.630479\pi\) | ||||
−0.398529 | + | 0.917156i | \(0.630479\pi\) | |||||||
\(824\) | 23.9143i | 0.0290223i | ||||||||
\(825\) | −108.132 | + | 170.087i | −0.131069 | + | 0.206166i | ||||
\(826\) | −9.32237 | −0.0112862 | ||||||||
\(827\) | 1340.71i | 1.62118i | 0.585617 | + | 0.810588i | \(0.300852\pi\) | ||||
−0.585617 | + | 0.810588i | \(0.699148\pi\) | |||||||
\(828\) | 99.9563 | − | 46.8400i | 0.120720 | − | 0.0565701i | ||||
\(829\) | 753.042 | 0.908374 | 0.454187 | − | 0.890906i | \(-0.349930\pi\) | ||||
0.454187 | + | 0.890906i | \(0.349930\pi\) | |||||||
\(830\) | − | 293.685i | − | 0.353837i | ||||||
\(831\) | −1181.24 | − | 750.970i | −1.42147 | − | 0.903694i | ||||
\(832\) | 159.545 | 0.191761 | ||||||||
\(833\) | 117.982i | 0.141635i | ||||||||
\(834\) | −93.3899 | + | 146.898i | −0.111978 | + | 0.176137i | ||||
\(835\) | 643.940 | 0.771186 | ||||||||
\(836\) | 543.054i | 0.649586i | ||||||||
\(837\) | −59.3648 | + | 460.991i | −0.0709257 | + | 0.550766i | ||||
\(838\) | 892.023 | 1.06447 | ||||||||
\(839\) | 1123.90i | 1.33957i | 0.742556 | + | 0.669784i | \(0.233613\pi\) | ||||
−0.742556 | + | 0.669784i | \(0.766387\pi\) | |||||||
\(840\) | 42.3633 | + | 26.9323i | 0.0504325 | + | 0.0320623i | ||||
\(841\) | −1323.30 | −1.57349 | ||||||||
\(842\) | 246.869i | 0.293193i | ||||||||
\(843\) | 831.558 | − | 1308.00i | 0.986427 | − | 1.55161i | ||||
\(844\) | −692.617 | −0.820637 | ||||||||
\(845\) | − | 511.453i | − | 0.605270i | ||||||
\(846\) | 257.544 | + | 549.597i | 0.304425 | + | 0.649641i | ||||
\(847\) | −157.533 | −0.185989 | ||||||||
\(848\) | − | 144.979i | − | 0.170966i | ||||||
\(849\) | 1206.65 | + | 767.126i | 1.42127 | + | 0.903564i | ||||
\(850\) | 119.180 | 0.140211 | ||||||||
\(851\) | 397.122i | 0.466653i | ||||||||
\(852\) | 25.5822 | − | 40.2396i | 0.0300260 | − | 0.0472296i | ||||
\(853\) | 849.611 | 0.996027 | 0.498014 | − | 0.867169i | \(-0.334063\pi\) | ||||
0.498014 | + | 0.867169i | \(0.334063\pi\) | |||||||
\(854\) | 46.9384i | 0.0549630i | ||||||||
\(855\) | −368.251 | + | 172.564i | −0.430703 | + | 0.201830i | ||||
\(856\) | 153.729 | 0.179590 | ||||||||
\(857\) | − | 474.061i | − | 0.553164i | −0.960990 | − | 0.276582i | \(-0.910798\pi\) | ||
0.960990 | − | 0.276582i | \(-0.0892017\pi\) | |||||||
\(858\) | −959.419 | − | 609.947i | −1.11820 | − | 0.710894i | ||||
\(859\) | 357.378 | 0.416039 | 0.208020 | − | 0.978125i | \(-0.433298\pi\) | ||||
0.208020 | + | 0.978125i | \(0.433298\pi\) | |||||||
\(860\) | − | 317.663i | − | 0.369376i | ||||||
\(861\) | 266.359 | − | 418.972i | 0.309361 | − | 0.486611i | ||||
\(862\) | −537.826 | −0.623928 | ||||||||
\(863\) | 39.7566i | 0.0460680i | 0.999735 | + | 0.0230340i | \(0.00733259\pi\) | ||||
−0.999735 | + | 0.0230340i | \(0.992667\pi\) | |||||||
\(864\) | 151.484 | + | 19.5076i | 0.175329 | + | 0.0225782i | ||||
\(865\) | 646.377 | 0.747257 | ||||||||
\(866\) | − | 951.778i | − | 1.09905i | ||||||
\(867\) | −12.4663 | − | 7.92541i | −0.0143787 | − | 0.00914119i | ||||
\(868\) | 91.0918 | 0.104945 | ||||||||
\(869\) | 1453.45i | 1.67256i | ||||||||
\(870\) | 236.785 | − | 372.452i | 0.272166 | − | 0.428106i | ||||
\(871\) | 2357.99 | 2.70722 | ||||||||
\(872\) | 289.049i | 0.331478i | ||||||||
\(873\) | −32.7927 | − | 69.9793i | −0.0375632 | − | 0.0801596i | ||||
\(874\) | 175.260 | 0.200527 | ||||||||
\(875\) | 29.5804i | 0.0338062i | ||||||||
\(876\) | 370.711 | + | 235.678i | 0.423186 | + | 0.269039i | ||||
\(877\) | 758.777 | 0.865196 | 0.432598 | − | 0.901587i | \(-0.357597\pi\) | ||||
0.432598 | + | 0.901587i | \(0.357597\pi\) | |||||||
\(878\) | 321.455i | 0.366122i | ||||||||
\(879\) | 273.540 | − | 430.266i | 0.311195 | − | 0.489495i | ||||
\(880\) | 120.180 | 0.136569 | ||||||||
\(881\) | 568.736i | 0.645557i | 0.946474 | + | 0.322779i | \(0.104617\pi\) | ||||
−0.946474 | + | 0.322779i | \(0.895383\pi\) | |||||||
\(882\) | −80.6768 | + | 37.8055i | −0.0914703 | + | 0.0428634i | ||||
\(883\) | 38.0294 | 0.0430684 | 0.0215342 | − | 0.999768i | \(-0.493145\pi\) | ||||
0.0215342 | + | 0.999768i | \(0.493145\pi\) | |||||||
\(884\) | 672.265i | 0.760481i | ||||||||
\(885\) | −14.1045 | − | 8.96689i | −0.0159373 | − | 0.0101321i | ||||
\(886\) | −825.118 | −0.931284 | ||||||||
\(887\) | − | 906.851i | − | 1.02238i | −0.859468 | − | 0.511190i | \(-0.829205\pi\) | ||
0.859468 | − | 0.511190i | \(-0.170795\pi\) | |||||||
\(888\) | −294.794 | + | 463.698i | −0.331975 | + | 0.522183i | ||||
\(889\) | −479.149 | −0.538975 | ||||||||
\(890\) | 16.9776i | 0.0190759i | ||||||||
\(891\) | −836.367 | − | 696.438i | −0.938683 | − | 0.781636i | ||||
\(892\) | −632.868 | −0.709494 | ||||||||
\(893\) | 963.646i | 1.07911i | ||||||||
\(894\) | 78.9022 | + | 50.1618i | 0.0882575 | + | 0.0561094i | ||||
\(895\) | 104.223 | 0.116450 | ||||||||
\(896\) | − | 29.9333i | − | 0.0334077i | ||||||
\(897\) | −196.849 | + | 309.634i | −0.219452 | + | 0.345189i | ||||
\(898\) | 726.185 | 0.808670 | ||||||||
\(899\) | − | 800.866i | − | 0.890841i | ||||||
\(900\) | 38.1894 | + | 81.4958i | 0.0424326 | + | 0.0905509i | ||||
\(901\) | 610.890 | 0.678013 | ||||||||
\(902\) | − | 1188.58i | − | 1.31772i | ||||||
\(903\) | 475.786 | + | 302.479i | 0.526895 | + | 0.334971i | ||||
\(904\) | −384.044 | −0.424828 | ||||||||
\(905\) | 308.775i | 0.341188i | ||||||||
\(906\) | −219.136 | + | 344.691i | −0.241872 | + | 0.380454i | ||||
\(907\) | −108.414 | −0.119530 | −0.0597652 | − | 0.998212i | \(-0.519035\pi\) | ||||
−0.0597652 | + | 0.998212i | \(0.519035\pi\) | |||||||
\(908\) | 15.5712i | 0.0171489i | ||||||||
\(909\) | 316.233 | − | 148.188i | 0.347891 | − | 0.163024i | ||||
\(910\) | −166.856 | −0.183359 | ||||||||
\(911\) | 348.871i | 0.382954i | 0.981497 | + | 0.191477i | \(0.0613278\pi\) | ||||
−0.981497 | + | 0.191477i | \(0.938672\pi\) | |||||||
\(912\) | 204.642 | + | 130.100i | 0.224388 | + | 0.142654i | ||||
\(913\) | 1247.87 | 1.36678 | ||||||||
\(914\) | 904.352i | 0.989444i | ||||||||
\(915\) | −45.1486 | + | 71.0167i | −0.0493427 | + | 0.0776139i | ||||
\(916\) | 243.786 | 0.266142 | ||||||||
\(917\) | − | 10.6208i | − | 0.0115821i | ||||||
\(918\) | −82.1979 | + | 638.299i | −0.0895402 | + | 0.695315i | ||||
\(919\) | −1186.93 | −1.29155 | −0.645773 | − | 0.763529i | \(-0.723465\pi\) | ||||
−0.645773 | + | 0.763529i | \(0.723465\pi\) | |||||||
\(920\) | − | 38.7860i | − | 0.0421586i | ||||||
\(921\) | 790.180 | + | 502.354i | 0.857959 | + | 0.545444i | ||||
\(922\) | 682.825 | 0.740591 | ||||||||
\(923\) | 158.492i | 0.171714i | ||||||||
\(924\) | −114.436 | + | 180.003i | −0.123848 | + | 0.194808i | ||||
\(925\) | −323.780 | −0.350032 | ||||||||
\(926\) | − | 464.581i | − | 0.501707i | ||||||
\(927\) | −32.2891 | − | 68.9047i | −0.0348318 | − | 0.0743309i | ||||
\(928\) | −263.169 | −0.283587 | ||||||||
\(929\) | 515.060i | 0.554424i | 0.960809 | + | 0.277212i | \(0.0894105\pi\) | ||||
−0.960809 | + | 0.277212i | \(0.910589\pi\) | |||||||
\(930\) | 137.820 | + | 87.6183i | 0.148193 | + | 0.0942133i | ||||
\(931\) | −141.456 | −0.151940 | ||||||||
\(932\) | 160.315i | 0.172012i | ||||||||
\(933\) | 685.061 | − | 1077.57i | 0.734256 | − | 1.15495i | ||||
\(934\) | 301.072 | 0.322347 | ||||||||
\(935\) | 506.397i | 0.541601i | ||||||||
\(936\) | −459.699 | + | 215.417i | −0.491132 | + | 0.230147i | ||||
\(937\) | 489.541 | 0.522456 | 0.261228 | − | 0.965277i | \(-0.415873\pi\) | ||||
0.261228 | + | 0.965277i | \(0.415873\pi\) | |||||||
\(938\) | − | 442.398i | − | 0.471640i | ||||||
\(939\) | −1010.66 | − | 642.520i | −1.07631 | − | 0.684260i | ||||
\(940\) | 213.260 | 0.226872 | ||||||||
\(941\) | 833.933i | 0.886220i | 0.896467 | + | 0.443110i | \(0.146125\pi\) | ||||
−0.896467 | + | 0.443110i | \(0.853875\pi\) | |||||||
\(942\) | −49.2312 | + | 77.4385i | −0.0522624 | + | 0.0822065i | ||||
\(943\) | −383.592 | −0.406778 | ||||||||
\(944\) | 9.96603i | 0.0105572i | ||||||||
\(945\) | −158.426 | − | 20.4015i | −0.167646 | − | 0.0215889i | ||||
\(946\) | 1349.76 | 1.42681 | ||||||||
\(947\) | − | 854.924i | − | 0.902771i | −0.892329 | − | 0.451385i | \(-0.850930\pi\) | ||
0.892329 | − | 0.451385i | \(-0.149070\pi\) | |||||||
\(948\) | 547.712 | + | 348.206i | 0.577755 | + | 0.367306i | ||||
\(949\) | −1460.12 | −1.53859 | ||||||||
\(950\) | 142.892i | 0.150413i | ||||||||
\(951\) | 382.828 | − | 602.171i | 0.402553 | − | 0.633198i | ||||
\(952\) | 126.128 | 0.132487 | ||||||||
\(953\) | − | 1564.07i | − | 1.64121i | −0.571498 | − | 0.820603i | \(-0.693638\pi\) | ||
0.571498 | − | 0.820603i | \(-0.306362\pi\) | |||||||
\(954\) | 195.751 | + | 417.731i | 0.205189 | + | 0.437873i | ||||
\(955\) | 44.0799 | 0.0461570 | ||||||||
\(956\) | 232.511i | 0.243212i | ||||||||
\(957\) | 1582.56 | + | 1006.10i | 1.65366 | + | 1.05131i | ||||
\(958\) | 145.120 | 0.151482 | ||||||||
\(959\) | 207.463i | 0.216332i | ||||||||
\(960\) | 28.7918 | − | 45.2883i | 0.0299915 | − | 0.0471753i | ||||
\(961\) | −664.653 | −0.691626 | ||||||||
\(962\) | − | 1826.37i | − | 1.89851i | ||||||
\(963\) | −442.942 | + | 207.565i | −0.459960 | + | 0.215540i | ||||
\(964\) | −189.503 | −0.196580 | ||||||||
\(965\) | 123.124i | 0.127590i | ||||||||
\(966\) | 58.0924 | + | 36.9320i | 0.0601371 | + | 0.0382319i | ||||
\(967\) | −64.0844 | −0.0662714 | −0.0331357 | − | 0.999451i | \(-0.510549\pi\) | ||||
−0.0331357 | + | 0.999451i | \(0.510549\pi\) | |||||||
\(968\) | 168.410i | 0.173977i | ||||||||
\(969\) | −548.196 | + | 862.288i | −0.565733 | + | 0.889874i | ||||
\(970\) | −27.1540 | −0.0279938 | ||||||||
\(971\) | − | 400.825i | − | 0.412796i | −0.978468 | − | 0.206398i | \(-0.933826\pi\) | ||
0.978468 | − | 0.206398i | \(-0.0661742\pi\) | |||||||
\(972\) | −462.812 | + | 148.326i | −0.476144 | + | 0.152599i | ||||
\(973\) | −108.552 | −0.111565 | ||||||||
\(974\) | 33.5310i | 0.0344261i | ||||||||
\(975\) | −252.449 | − | 160.494i | −0.258923 | − | 0.164609i | ||||
\(976\) | 50.1793 | 0.0514132 | ||||||||
\(977\) | − | 1473.80i | − | 1.50850i | −0.656590 | − | 0.754248i | \(-0.728002\pi\) | ||
0.656590 | − | 0.754248i | \(-0.271998\pi\) | |||||||
\(978\) | 509.524 | − | 801.459i | 0.520986 | − | 0.819488i | ||||
\(979\) | −72.1380 | −0.0736854 | ||||||||
\(980\) | 31.3050i | 0.0319438i | ||||||||
\(981\) | −390.273 | − | 832.839i | −0.397831 | − | 0.848970i | ||||
\(982\) | 230.909 | 0.235141 | ||||||||
\(983\) | − | 1166.05i | − | 1.18622i | −0.805122 | − | 0.593109i | \(-0.797900\pi\) | ||
0.805122 | − | 0.593109i | \(-0.202100\pi\) | |||||||
\(984\) | −447.900 | − | 284.750i | −0.455183 | − | 0.289380i | ||||
\(985\) | 504.672 | 0.512358 | ||||||||
\(986\) | − | 1108.90i | − | 1.12464i | ||||||
\(987\) | −203.066 | + | 319.414i | −0.205741 | + | 0.323621i | ||||
\(988\) | −806.023 | −0.815813 | ||||||||
\(989\) | − | 435.609i | − | 0.440454i | ||||||
\(990\) | −346.278 | + | 162.267i | −0.349775 | + | 0.163906i | ||||
\(991\) | 575.510 | 0.580736 | 0.290368 | − | 0.956915i | \(-0.406222\pi\) | ||||
0.290368 | + | 0.956915i | \(0.406222\pi\) | |||||||
\(992\) | − | 97.3813i | − | 0.0981666i | ||||||
\(993\) | 760.614 | + | 483.557i | 0.765976 | + | 0.486966i | ||||
\(994\) | 29.7356 | 0.0299151 | ||||||||
\(995\) | − | 419.217i | − | 0.421324i | ||||||
\(996\) | 298.955 | − | 470.243i | 0.300156 | − | 0.472132i | ||||
\(997\) | 304.683 | 0.305600 | 0.152800 | − | 0.988257i | \(-0.451171\pi\) | ||||
0.152800 | + | 0.988257i | \(0.451171\pi\) | |||||||
\(998\) | 440.036i | 0.440918i | ||||||||
\(999\) | 223.310 | − | 1734.09i | 0.223534 | − | 1.73583i |
(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 | 210.3.e.a.71.10 | yes | 16 | |
3.2 | odd | 2 | inner | 210.3.e.a.71.2 | ✓ | 16 | |
4.3 | odd | 2 | 1680.3.l.c.1121.14 | 16 | |||
5.2 | odd | 4 | 1050.3.c.c.449.8 | 32 | |||
5.3 | odd | 4 | 1050.3.c.c.449.25 | 32 | |||
5.4 | even | 2 | 1050.3.e.d.701.7 | 16 | |||
12.11 | even | 2 | 1680.3.l.c.1121.13 | 16 | |||
15.2 | even | 4 | 1050.3.c.c.449.26 | 32 | |||
15.8 | even | 4 | 1050.3.c.c.449.7 | 32 | |||
15.14 | odd | 2 | 1050.3.e.d.701.15 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.e.a.71.2 | ✓ | 16 | 3.2 | odd | 2 | inner | |
210.3.e.a.71.10 | yes | 16 | 1.1 | even | 1 | trivial | |
1050.3.c.c.449.7 | 32 | 15.8 | even | 4 | |||
1050.3.c.c.449.8 | 32 | 5.2 | odd | 4 | |||
1050.3.c.c.449.25 | 32 | 5.3 | odd | 4 | |||
1050.3.c.c.449.26 | 32 | 15.2 | even | 4 | |||
1050.3.e.d.701.7 | 16 | 5.4 | even | 2 | |||
1050.3.e.d.701.15 | 16 | 15.14 | odd | 2 | |||
1680.3.l.c.1121.13 | 16 | 12.11 | even | 2 | |||
1680.3.l.c.1121.14 | 16 | 4.3 | odd | 2 |