Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1470,2,Mod(1469,1470)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1470, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1470.1469");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1470 = 2 \cdot 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1470.d (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: | \(11.7380090971\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 1469.8 | ||
Character | \(\chi\) | \(=\) | 1470.1469 |
Dual form | 1470.2.d.h.1469.7 |
$q$-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 \(\left(\mathbb{Z}/1470\mathbb{Z}\right)^\times\).
\(n\) | \(491\) | \(1081\) | \(1177\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | −1.17052 | + | 1.27667i | −0.675798 | + | 0.737087i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −1.07909 | + | 1.95846i | −0.482583 | + | 0.875850i | ||||
\(6\) | −1.17052 | + | 1.27667i | −0.477861 | + | 0.521199i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −0.259782 | − | 2.98873i | −0.0865939 | − | 0.996244i | ||||
\(10\) | −1.07909 | + | 1.95846i | −0.341238 | + | 0.619320i | ||||
\(11\) | − | 6.01614i | − | 1.81393i | −0.421202 | − | 0.906967i | \(-0.638392\pi\) | ||
0.421202 | − | 0.906967i | \(-0.361608\pi\) | |||||||
\(12\) | −1.17052 | + | 1.27667i | −0.337899 | + | 0.368543i | ||||
\(13\) | −0.864346 | −0.239726 | −0.119863 | − | 0.992790i | \(-0.538246\pi\) | ||||
−0.119863 | + | 0.992790i | \(0.538246\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.23722 | − | 3.67005i | −0.319449 | − | 0.947603i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | − | 2.84561i | − | 0.690161i | −0.938573 | − | 0.345080i | \(-0.887852\pi\) | ||
0.938573 | − | 0.345080i | \(-0.112148\pi\) | |||||||
\(18\) | −0.259782 | − | 2.98873i | −0.0612311 | − | 0.704451i | ||||
\(19\) | − | 7.12434i | − | 1.63444i | −0.576328 | − | 0.817218i | \(-0.695515\pi\) | ||
0.576328 | − | 0.817218i | \(-0.304485\pi\) | |||||||
\(20\) | −1.07909 | + | 1.95846i | −0.241291 | + | 0.437925i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | − | 6.01614i | − | 1.28264i | ||||||
\(23\) | −2.10323 | −0.438554 | −0.219277 | − | 0.975663i | \(-0.570370\pi\) | ||||
−0.219277 | + | 0.975663i | \(0.570370\pi\) | |||||||
\(24\) | −1.17052 | + | 1.27667i | −0.238931 | + | 0.260600i | ||||
\(25\) | −2.67114 | − | 4.22670i | −0.534227 | − | 0.845341i | ||||
\(26\) | −0.864346 | −0.169512 | ||||||||
\(27\) | 4.11971 | + | 3.16670i | 0.792838 | + | 0.609432i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 9.40499i | 1.74646i | 0.487306 | + | 0.873231i | \(0.337980\pi\) | ||||
−0.487306 | + | 0.873231i | \(0.662020\pi\) | |||||||
\(30\) | −1.23722 | − | 3.67005i | −0.225885 | − | 0.670057i | ||||
\(31\) | − | 2.68399i | − | 0.482058i | −0.970518 | − | 0.241029i | \(-0.922515\pi\) | ||
0.970518 | − | 0.241029i | \(-0.0774849\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 7.68063 | + | 7.04199i | 1.33703 | + | 1.22585i | ||||
\(34\) | − | 2.84561i | − | 0.488017i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.259782 | − | 2.98873i | −0.0432970 | − | 0.498122i | ||||
\(37\) | − | 6.81763i | − | 1.12081i | −0.828218 | − | 0.560406i | \(-0.810645\pi\) | ||
0.828218 | − | 0.560406i | \(-0.189355\pi\) | |||||||
\(38\) | − | 7.12434i | − | 1.15572i | ||||||
\(39\) | 1.01173 | − | 1.10349i | 0.162007 | − | 0.176699i | ||||
\(40\) | −1.07909 | + | 1.95846i | −0.170619 | + | 0.309660i | ||||
\(41\) | 5.32333 | 0.831364 | 0.415682 | − | 0.909510i | \(-0.363543\pi\) | ||||
0.415682 | + | 0.909510i | \(0.363543\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.68989i | 0.410204i | 0.978741 | + | 0.205102i | \(0.0657526\pi\) | ||||
−0.978741 | + | 0.205102i | \(0.934247\pi\) | |||||||
\(44\) | − | 6.01614i | − | 0.906967i | ||||||
\(45\) | 6.13364 | + | 2.71633i | 0.914349 | + | 0.404927i | ||||
\(46\) | −2.10323 | −0.310105 | ||||||||
\(47\) | 3.12679i | 0.456089i | 0.973651 | + | 0.228045i | \(0.0732332\pi\) | ||||
−0.973651 | + | 0.228045i | \(0.926767\pi\) | |||||||
\(48\) | −1.17052 | + | 1.27667i | −0.168950 | + | 0.184272i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −2.67114 | − | 4.22670i | −0.377756 | − | 0.597746i | ||||
\(51\) | 3.63291 | + | 3.33083i | 0.508708 | + | 0.466409i | ||||
\(52\) | −0.864346 | −0.119863 | ||||||||
\(53\) | 11.9744 | 1.64482 | 0.822408 | − | 0.568898i | \(-0.192630\pi\) | ||||
0.822408 | + | 0.568898i | \(0.192630\pi\) | |||||||
\(54\) | 4.11971 | + | 3.16670i | 0.560621 | + | 0.430934i | ||||
\(55\) | 11.7824 | + | 6.49194i | 1.58873 | + | 0.875373i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 9.09545 | + | 8.33916i | 1.20472 | + | 1.10455i | ||||
\(58\) | 9.40499i | 1.23494i | ||||||||
\(59\) | −7.09456 | −0.923633 | −0.461817 | − | 0.886975i | \(-0.652802\pi\) | ||||
−0.461817 | + | 0.886975i | \(0.652802\pi\) | |||||||
\(60\) | −1.23722 | − | 3.67005i | −0.159725 | − | 0.473802i | ||||
\(61\) | − | 9.33672i | − | 1.19544i | −0.801703 | − | 0.597722i | \(-0.796073\pi\) | ||
0.801703 | − | 0.597722i | \(-0.203927\pi\) | |||||||
\(62\) | − | 2.68399i | − | 0.340866i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0.932706 | − | 1.69279i | 0.115688 | − | 0.209965i | ||||
\(66\) | 7.68063 | + | 7.04199i | 0.945420 | + | 0.866809i | ||||
\(67\) | − | 6.56038i | − | 0.801478i | −0.916192 | − | 0.400739i | \(-0.868753\pi\) | ||
0.916192 | − | 0.400739i | \(-0.131247\pi\) | |||||||
\(68\) | − | 2.84561i | − | 0.345080i | ||||||
\(69\) | 2.46187 | − | 2.68514i | 0.296374 | − | 0.323252i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 4.46562i | − | 0.529971i | −0.964252 | − | 0.264986i | \(-0.914633\pi\) | ||
0.964252 | − | 0.264986i | \(-0.0853672\pi\) | |||||||
\(72\) | −0.259782 | − | 2.98873i | −0.0306156 | − | 0.352225i | ||||
\(73\) | −12.7989 | −1.49800 | −0.749000 | − | 0.662570i | \(-0.769466\pi\) | ||||
−0.749000 | + | 0.662570i | \(0.769466\pi\) | |||||||
\(74\) | − | 6.81763i | − | 0.792533i | ||||||
\(75\) | 8.52272 | + | 1.53726i | 0.984119 | + | 0.177508i | ||||
\(76\) | − | 7.12434i | − | 0.817218i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.01173 | − | 1.10349i | 0.114556 | − | 0.124945i | ||||
\(79\) | 3.35798 | 0.377803 | 0.188901 | − | 0.981996i | \(-0.439507\pi\) | ||||
0.188901 | + | 0.981996i | \(0.439507\pi\) | |||||||
\(80\) | −1.07909 | + | 1.95846i | −0.120646 | + | 0.218963i | ||||
\(81\) | −8.86503 | + | 1.55284i | −0.985003 | + | 0.172537i | ||||
\(82\) | 5.32333 | 0.587863 | ||||||||
\(83\) | 1.28020i | 0.140521i | 0.997529 | + | 0.0702603i | \(0.0223830\pi\) | ||||
−0.997529 | + | 0.0702603i | \(0.977617\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.57301 | + | 3.07066i | 0.604478 | + | 0.333060i | ||||
\(86\) | 2.68989i | 0.290058i | ||||||||
\(87\) | −12.0071 | − | 11.0087i | −1.28729 | − | 1.18026i | ||||
\(88\) | − | 6.01614i | − | 0.641322i | ||||||
\(89\) | −3.08600 | −0.327116 | −0.163558 | − | 0.986534i | \(-0.552297\pi\) | ||||
−0.163558 | + | 0.986534i | \(0.552297\pi\) | |||||||
\(90\) | 6.13364 | + | 2.71633i | 0.646542 | + | 0.286327i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −2.10323 | −0.219277 | ||||||||
\(93\) | 3.42657 | + | 3.14165i | 0.355319 | + | 0.325774i | ||||
\(94\) | 3.12679i | 0.322504i | ||||||||
\(95\) | 13.9527 | + | 7.68780i | 1.43152 | + | 0.788751i | ||||
\(96\) | −1.17052 | + | 1.27667i | −0.119465 | + | 0.130300i | ||||
\(97\) | −1.90549 | −0.193474 | −0.0967368 | − | 0.995310i | \(-0.530841\pi\) | ||||
−0.0967368 | + | 0.995310i | \(0.530841\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −17.9806 | + | 1.56288i | −1.80712 | + | 0.157076i | ||||
\(100\) | −2.67114 | − | 4.22670i | −0.267114 | − | 0.422670i | ||||
\(101\) | −7.02133 | −0.698648 | −0.349324 | − | 0.937002i | \(-0.613589\pi\) | ||||
−0.349324 | + | 0.937002i | \(0.613589\pi\) | |||||||
\(102\) | 3.63291 | + | 3.33083i | 0.359711 | + | 0.329801i | ||||
\(103\) | 9.51562 | 0.937602 | 0.468801 | − | 0.883304i | \(-0.344686\pi\) | ||||
0.468801 | + | 0.883304i | \(0.344686\pi\) | |||||||
\(104\) | −0.864346 | −0.0847561 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 11.9744 | 1.16306 | ||||||||
\(107\) | 9.23877 | 0.893146 | 0.446573 | − | 0.894747i | \(-0.352644\pi\) | ||||
0.446573 | + | 0.894747i | \(0.352644\pi\) | |||||||
\(108\) | 4.11971 | + | 3.16670i | 0.396419 | + | 0.304716i | ||||
\(109\) | 4.93955 | 0.473123 | 0.236562 | − | 0.971616i | \(-0.423979\pi\) | ||||
0.236562 | + | 0.971616i | \(0.423979\pi\) | |||||||
\(110\) | 11.7824 | + | 6.49194i | 1.12340 | + | 0.618982i | ||||
\(111\) | 8.70388 | + | 7.98015i | 0.826135 | + | 0.757442i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −11.3769 | −1.07025 | −0.535126 | − | 0.844772i | \(-0.679736\pi\) | ||||
−0.535126 | + | 0.844772i | \(0.679736\pi\) | |||||||
\(114\) | 9.09545 | + | 8.33916i | 0.851867 | + | 0.781034i | ||||
\(115\) | 2.26957 | − | 4.11910i | 0.211639 | − | 0.384108i | ||||
\(116\) | 9.40499i | 0.873231i | ||||||||
\(117\) | 0.224541 | + | 2.58330i | 0.0207589 | + | 0.238826i | ||||
\(118\) | −7.09456 | −0.653107 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −1.23722 | − | 3.67005i | −0.112942 | − | 0.335028i | ||||
\(121\) | −25.1939 | −2.29035 | ||||||||
\(122\) | − | 9.33672i | − | 0.845307i | ||||||
\(123\) | −6.23105 | + | 6.79615i | −0.561835 | + | 0.612788i | ||||
\(124\) | − | 2.68399i | − | 0.241029i | ||||||
\(125\) | 11.1602 | − | 0.670330i | 0.998201 | − | 0.0599562i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 20.8126i | − | 1.84682i | −0.383813 | − | 0.923411i | \(-0.625389\pi\) | ||
0.383813 | − | 0.923411i | \(-0.374611\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −3.43410 | − | 3.14856i | −0.302356 | − | 0.277215i | ||||
\(130\) | 0.932706 | − | 1.69279i | 0.0818037 | − | 0.148467i | ||||
\(131\) | 7.45191 | 0.651076 | 0.325538 | − | 0.945529i | \(-0.394455\pi\) | ||||
0.325538 | + | 0.945529i | \(0.394455\pi\) | |||||||
\(132\) | 7.68063 | + | 7.04199i | 0.668513 | + | 0.612926i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 6.56038i | − | 0.566731i | ||||||
\(135\) | −10.6474 | + | 4.65113i | −0.916382 | + | 0.400306i | ||||
\(136\) | − | 2.84561i | − | 0.244009i | ||||||
\(137\) | −4.00937 | −0.342544 | −0.171272 | − | 0.985224i | \(-0.554788\pi\) | ||||
−0.171272 | + | 0.985224i | \(0.554788\pi\) | |||||||
\(138\) | 2.46187 | − | 2.68514i | 0.209568 | − | 0.228574i | ||||
\(139\) | − | 15.6807i | − | 1.33002i | −0.746833 | − | 0.665012i | \(-0.768427\pi\) | ||
0.746833 | − | 0.665012i | \(-0.231573\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.99189 | − | 3.65996i | −0.336178 | − | 0.308224i | ||||
\(142\) | − | 4.46562i | − | 0.374746i | ||||||
\(143\) | 5.20002i | 0.434848i | ||||||||
\(144\) | −0.259782 | − | 2.98873i | −0.0216485 | − | 0.249061i | ||||
\(145\) | −18.4193 | − | 10.1488i | −1.52964 | − | 0.842813i | ||||
\(146\) | −12.7989 | −1.05925 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 6.81763i | − | 0.560406i | ||||||
\(149\) | 8.37964i | 0.686487i | 0.939246 | + | 0.343243i | \(0.111526\pi\) | ||||
−0.939246 | + | 0.343243i | \(0.888474\pi\) | |||||||
\(150\) | 8.52272 | + | 1.53726i | 0.695878 | + | 0.125517i | ||||
\(151\) | 8.07977 | 0.657522 | 0.328761 | − | 0.944413i | \(-0.393369\pi\) | ||||
0.328761 | + | 0.944413i | \(0.393369\pi\) | |||||||
\(152\) | − | 7.12434i | − | 0.577861i | ||||||
\(153\) | −8.50475 | + | 0.739237i | −0.687568 | + | 0.0597637i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.25648 | + | 2.89626i | 0.422211 | + | 0.232633i | ||||
\(156\) | 1.01173 | − | 1.10349i | 0.0810033 | − | 0.0883496i | ||||
\(157\) | −4.46327 | −0.356207 | −0.178104 | − | 0.984012i | \(-0.556996\pi\) | ||||
−0.178104 | + | 0.984012i | \(0.556996\pi\) | |||||||
\(158\) | 3.35798 | 0.267147 | ||||||||
\(159\) | −14.0163 | + | 15.2874i | −1.11156 | + | 1.21237i | ||||
\(160\) | −1.07909 | + | 1.95846i | −0.0853094 | + | 0.154830i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −8.86503 | + | 1.55284i | −0.696502 | + | 0.122002i | ||||
\(163\) | 21.7075i | 1.70026i | 0.526572 | + | 0.850131i | \(0.323477\pi\) | ||||
−0.526572 | + | 0.850131i | \(0.676523\pi\) | |||||||
\(164\) | 5.32333 | 0.415682 | ||||||||
\(165\) | −22.0795 | + | 7.44329i | −1.71889 | + | 0.579459i | ||||
\(166\) | 1.28020i | 0.0993631i | ||||||||
\(167\) | − | 15.0916i | − | 1.16783i | −0.811816 | − | 0.583913i | \(-0.801521\pi\) | ||
0.811816 | − | 0.583913i | \(-0.198479\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.2529 | −0.942531 | ||||||||
\(170\) | 5.57301 | + | 3.07066i | 0.427430 | + | 0.235509i | ||||
\(171\) | −21.2928 | + | 1.85077i | −1.62830 | + | 0.141532i | ||||
\(172\) | 2.68989i | 0.205102i | ||||||||
\(173\) | 13.9077i | 1.05738i | 0.848814 | + | 0.528692i | \(0.177317\pi\) | ||||
−0.848814 | + | 0.528692i | \(0.822683\pi\) | |||||||
\(174\) | −12.0071 | − | 11.0087i | −0.910255 | − | 0.834567i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 6.01614i | − | 0.453483i | ||||||
\(177\) | 8.30430 | − | 9.05742i | 0.624189 | − | 0.680798i | ||||
\(178\) | −3.08600 | −0.231306 | ||||||||
\(179\) | − | 19.7081i | − | 1.47305i | −0.676408 | − | 0.736527i | \(-0.736464\pi\) | ||
0.676408 | − | 0.736527i | \(-0.263536\pi\) | |||||||
\(180\) | 6.13364 | + | 2.71633i | 0.457175 | + | 0.202463i | ||||
\(181\) | 6.02435i | 0.447787i | 0.974614 | + | 0.223893i | \(0.0718767\pi\) | ||||
−0.974614 | + | 0.223893i | \(0.928123\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 11.9199 | + | 10.9288i | 0.881146 | + | 0.807879i | ||||
\(184\) | −2.10323 | −0.155052 | ||||||||
\(185\) | 13.3521 | + | 7.35683i | 0.981663 | + | 0.540885i | ||||
\(186\) | 3.42657 | + | 3.14165i | 0.251248 | + | 0.230357i | ||||
\(187\) | −17.1196 | −1.25191 | ||||||||
\(188\) | 3.12679i | 0.228045i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 13.9527 | + | 7.68780i | 1.01224 | + | 0.557731i | ||||
\(191\) | 1.81768i | 0.131523i | 0.997835 | + | 0.0657614i | \(0.0209476\pi\) | ||||
−0.997835 | + | 0.0657614i | \(0.979052\pi\) | |||||||
\(192\) | −1.17052 | + | 1.27667i | −0.0844748 | + | 0.0921359i | ||||
\(193\) | 0.613146i | 0.0441352i | 0.999756 | + | 0.0220676i | \(0.00702491\pi\) | ||||
−0.999756 | + | 0.0220676i | \(0.992975\pi\) | |||||||
\(194\) | −1.90549 | −0.136807 | ||||||||
\(195\) | 1.06939 | + | 3.17220i | 0.0765804 | + | 0.227166i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 12.5151 | 0.891663 | 0.445832 | − | 0.895117i | \(-0.352908\pi\) | ||||
0.445832 | + | 0.895117i | \(0.352908\pi\) | |||||||
\(198\) | −17.9806 | + | 1.56288i | −1.27783 | + | 0.111069i | ||||
\(199\) | − | 10.7743i | − | 0.763768i | −0.924210 | − | 0.381884i | \(-0.875275\pi\) | ||
0.924210 | − | 0.381884i | \(-0.124725\pi\) | |||||||
\(200\) | −2.67114 | − | 4.22670i | −0.188878 | − | 0.298873i | ||||
\(201\) | 8.37545 | + | 7.67903i | 0.590759 | + | 0.541637i | ||||
\(202\) | −7.02133 | −0.494019 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 3.63291 | + | 3.33083i | 0.254354 | + | 0.233205i | ||||
\(205\) | −5.74434 | + | 10.4255i | −0.401202 | + | 0.728151i | ||||
\(206\) | 9.51562 | 0.662984 | ||||||||
\(207\) | 0.546381 | + | 6.28599i | 0.0379761 | + | 0.436907i | ||||
\(208\) | −0.864346 | −0.0599316 | ||||||||
\(209\) | −42.8610 | −2.96476 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.66797 | 0.321356 | 0.160678 | − | 0.987007i | \(-0.448632\pi\) | ||||
0.160678 | + | 0.987007i | \(0.448632\pi\) | |||||||
\(212\) | 11.9744 | 0.822408 | ||||||||
\(213\) | 5.70113 | + | 5.22708i | 0.390635 | + | 0.358154i | ||||
\(214\) | 9.23877 | 0.631550 | ||||||||
\(215\) | −5.26804 | − | 2.90263i | −0.359277 | − | 0.197957i | ||||
\(216\) | 4.11971 | + | 3.16670i | 0.280311 | + | 0.215467i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 4.93955 | 0.334549 | ||||||||
\(219\) | 14.9813 | − | 16.3400i | 1.01235 | − | 1.10416i | ||||
\(220\) | 11.7824 | + | 6.49194i | 0.794367 | + | 0.437687i | ||||
\(221\) | 2.45959i | 0.165450i | ||||||||
\(222\) | 8.70388 | + | 7.98015i | 0.584166 | + | 0.535593i | ||||
\(223\) | 0.973096 | 0.0651633 | 0.0325817 | − | 0.999469i | \(-0.489627\pi\) | ||||
0.0325817 | + | 0.999469i | \(0.489627\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −11.9386 | + | 9.08133i | −0.795905 | + | 0.605422i | ||||
\(226\) | −11.3769 | −0.756783 | ||||||||
\(227\) | 23.8398i | 1.58231i | 0.611618 | + | 0.791153i | \(0.290519\pi\) | ||||
−0.611618 | + | 0.791153i | \(0.709481\pi\) | |||||||
\(228\) | 9.09545 | + | 8.33916i | 0.602361 | + | 0.552275i | ||||
\(229\) | − | 19.7831i | − | 1.30730i | −0.756797 | − | 0.653650i | \(-0.773237\pi\) | ||
0.756797 | − | 0.653650i | \(-0.226763\pi\) | |||||||
\(230\) | 2.26957 | − | 4.11910i | 0.149651 | − | 0.271605i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.40499i | 0.617468i | ||||||||
\(233\) | 1.78655 | 0.117041 | 0.0585205 | − | 0.998286i | \(-0.481362\pi\) | ||||
0.0585205 | + | 0.998286i | \(0.481362\pi\) | |||||||
\(234\) | 0.224541 | + | 2.58330i | 0.0146787 | + | 0.168875i | ||||
\(235\) | −6.12370 | − | 3.37408i | −0.399466 | − | 0.220101i | ||||
\(236\) | −7.09456 | −0.461817 | ||||||||
\(237\) | −3.93058 | + | 4.28704i | −0.255318 | + | 0.278473i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 17.2961i | 1.11879i | 0.828900 | + | 0.559396i | \(0.188967\pi\) | ||||
−0.828900 | + | 0.559396i | \(0.811033\pi\) | |||||||
\(240\) | −1.23722 | − | 3.67005i | −0.0798623 | − | 0.236901i | ||||
\(241\) | − | 8.26145i | − | 0.532167i | −0.963950 | − | 0.266083i | \(-0.914270\pi\) | ||
0.963950 | − | 0.266083i | \(-0.0857296\pi\) | |||||||
\(242\) | −25.1939 | −1.61952 | ||||||||
\(243\) | 8.39420 | − | 13.1353i | 0.538488 | − | 0.842633i | ||||
\(244\) | − | 9.33672i | − | 0.597722i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −6.23105 | + | 6.79615i | −0.397277 | + | 0.433306i | ||||
\(247\) | 6.15790i | 0.391818i | ||||||||
\(248\) | − | 2.68399i | − | 0.170433i | ||||||
\(249\) | −1.63440 | − | 1.49850i | −0.103576 | − | 0.0949636i | ||||
\(250\) | 11.1602 | − | 0.670330i | 0.705835 | − | 0.0423954i | ||||
\(251\) | 15.8307 | 0.999224 | 0.499612 | − | 0.866249i | \(-0.333476\pi\) | ||||
0.499612 | + | 0.866249i | \(0.333476\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.6533i | 0.795508i | ||||||||
\(254\) | − | 20.8126i | − | 1.30590i | ||||||
\(255\) | −10.4435 | + | 3.52064i | −0.653999 | + | 0.220471i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | − | 29.7033i | − | 1.85284i | −0.376491 | − | 0.926420i | \(-0.622869\pi\) | ||
0.376491 | − | 0.926420i | \(-0.377131\pi\) | |||||||
\(258\) | −3.43410 | − | 3.14856i | −0.213798 | − | 0.196021i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0.932706 | − | 1.69279i | 0.0578440 | − | 0.104982i | ||||
\(261\) | 28.1090 | − | 2.44324i | 1.73990 | − | 0.151233i | ||||
\(262\) | 7.45191 | 0.460380 | ||||||||
\(263\) | −23.1913 | −1.43003 | −0.715017 | − | 0.699107i | \(-0.753581\pi\) | ||||
−0.715017 | + | 0.699107i | \(0.753581\pi\) | |||||||
\(264\) | 7.68063 | + | 7.04199i | 0.472710 | + | 0.433404i | ||||
\(265\) | −12.9215 | + | 23.4515i | −0.793760 | + | 1.44061i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.61222 | − | 3.93981i | 0.221064 | − | 0.241113i | ||||
\(268\) | − | 6.56038i | − | 0.400739i | ||||||
\(269\) | 13.3485 | 0.813873 | 0.406937 | − | 0.913456i | \(-0.366597\pi\) | ||||
0.406937 | + | 0.913456i | \(0.366597\pi\) | |||||||
\(270\) | −10.6474 | + | 4.65113i | −0.647980 | + | 0.283059i | ||||
\(271\) | 17.0251i | 1.03420i | 0.855925 | + | 0.517099i | \(0.172988\pi\) | ||||
−0.855925 | + | 0.517099i | \(0.827012\pi\) | |||||||
\(272\) | − | 2.84561i | − | 0.172540i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.00937 | −0.242215 | ||||||||
\(275\) | −25.4284 | + | 16.0699i | −1.53339 | + | 0.969053i | ||||
\(276\) | 2.46187 | − | 2.68514i | 0.148187 | − | 0.161626i | ||||
\(277\) | 19.4359i | 1.16779i | 0.811830 | + | 0.583894i | \(0.198472\pi\) | ||||
−0.811830 | + | 0.583894i | \(0.801528\pi\) | |||||||
\(278\) | − | 15.6807i | − | 0.940468i | ||||||
\(279\) | −8.02171 | + | 0.697250i | −0.480247 | + | 0.0417433i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.9247i | 0.651714i | 0.945419 | + | 0.325857i | \(0.105653\pi\) | ||||
−0.945419 | + | 0.325857i | \(0.894347\pi\) | |||||||
\(282\) | −3.99189 | − | 3.65996i | −0.237713 | − | 0.217948i | ||||
\(283\) | 27.9118 | 1.65918 | 0.829592 | − | 0.558371i | \(-0.188573\pi\) | ||||
0.829592 | + | 0.558371i | \(0.188573\pi\) | |||||||
\(284\) | − | 4.46562i | − | 0.264986i | ||||||
\(285\) | −26.1467 | + | 8.81439i | −1.54880 | + | 0.522119i | ||||
\(286\) | 5.20002i | 0.307484i | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −0.259782 | − | 2.98873i | −0.0153078 | − | 0.176113i | ||||
\(289\) | 8.90252 | 0.523678 | ||||||||
\(290\) | −18.4193 | − | 10.1488i | −1.08162 | − | 0.595959i | ||||
\(291\) | 2.23041 | − | 2.43269i | 0.130749 | − | 0.142607i | ||||
\(292\) | −12.7989 | −0.749000 | ||||||||
\(293\) | 9.87883i | 0.577127i | 0.957461 | + | 0.288564i | \(0.0931777\pi\) | ||||
−0.957461 | + | 0.288564i | \(0.906822\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.65566 | − | 13.8944i | 0.445730 | − | 0.808964i | ||||
\(296\) | − | 6.81763i | − | 0.396267i | ||||||
\(297\) | 19.0513 | − | 24.7847i | 1.10547 | − | 1.43816i | ||||
\(298\) | 8.37964i | 0.485420i | ||||||||
\(299\) | 1.81792 | 0.105133 | ||||||||
\(300\) | 8.52272 | + | 1.53726i | 0.492060 | + | 0.0887539i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 8.07977 | 0.464938 | ||||||||
\(303\) | 8.21858 | − | 8.96393i | 0.472145 | − | 0.514964i | ||||
\(304\) | − | 7.12434i | − | 0.408609i | ||||||
\(305\) | 18.2856 | + | 10.0751i | 1.04703 | + | 0.576901i | ||||
\(306\) | −8.50475 | + | 0.739237i | −0.486184 | + | 0.0422593i | ||||
\(307\) | −2.95602 | −0.168709 | −0.0843545 | − | 0.996436i | \(-0.526883\pi\) | ||||
−0.0843545 | + | 0.996436i | \(0.526883\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −11.1382 | + | 12.1483i | −0.633629 | + | 0.691094i | ||||
\(310\) | 5.25648 | + | 2.89626i | 0.298548 | + | 0.164496i | ||||
\(311\) | 8.59316 | 0.487273 | 0.243637 | − | 0.969867i | \(-0.421660\pi\) | ||||
0.243637 | + | 0.969867i | \(0.421660\pi\) | |||||||
\(312\) | 1.01173 | − | 1.10349i | 0.0572780 | − | 0.0624726i | ||||
\(313\) | −19.8544 | −1.12224 | −0.561119 | − | 0.827735i | \(-0.689629\pi\) | ||||
−0.561119 | + | 0.827735i | \(0.689629\pi\) | |||||||
\(314\) | −4.46327 | −0.251877 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.35798 | 0.188901 | ||||||||
\(317\) | −29.2008 | −1.64008 | −0.820041 | − | 0.572304i | \(-0.806050\pi\) | ||||
−0.820041 | + | 0.572304i | \(0.806050\pi\) | |||||||
\(318\) | −14.0163 | + | 15.2874i | −0.785994 | + | 0.857277i | ||||
\(319\) | 56.5817 | 3.16797 | ||||||||
\(320\) | −1.07909 | + | 1.95846i | −0.0603229 | + | 0.109481i | ||||
\(321\) | −10.8141 | + | 11.7949i | −0.603586 | + | 0.658326i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −20.2731 | −1.12802 | ||||||||
\(324\) | −8.86503 | + | 1.55284i | −0.492501 | + | 0.0862686i | ||||
\(325\) | 2.30879 | + | 3.65334i | 0.128068 | + | 0.202651i | ||||
\(326\) | 21.7075i | 1.20227i | ||||||||
\(327\) | −5.78183 | + | 6.30619i | −0.319736 | + | 0.348733i | ||||
\(328\) | 5.32333 | 0.293932 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −22.0795 | + | 7.44329i | −1.21544 | + | 0.409740i | ||||
\(331\) | −8.99040 | −0.494157 | −0.247079 | − | 0.968995i | \(-0.579471\pi\) | ||||
−0.247079 | + | 0.968995i | \(0.579471\pi\) | |||||||
\(332\) | 1.28020i | 0.0702603i | ||||||||
\(333\) | −20.3761 | + | 1.77110i | −1.11660 | + | 0.0970555i | ||||
\(334\) | − | 15.0916i | − | 0.825777i | ||||||
\(335\) | 12.8482 | + | 7.07923i | 0.701975 | + | 0.386780i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.7043i | 0.909939i | 0.890507 | + | 0.454969i | \(0.150350\pi\) | ||||
−0.890507 | + | 0.454969i | \(0.849650\pi\) | |||||||
\(338\) | −12.2529 | −0.666470 | ||||||||
\(339\) | 13.3169 | − | 14.5246i | 0.723274 | − | 0.788869i | ||||
\(340\) | 5.57301 | + | 3.07066i | 0.302239 | + | 0.166530i | ||||
\(341\) | −16.1472 | −0.874421 | ||||||||
\(342\) | −21.2928 | + | 1.85077i | −1.15138 | + | 0.100078i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 2.68989i | 0.145029i | ||||||||
\(345\) | 2.60216 | + | 7.71897i | 0.140096 | + | 0.415575i | ||||
\(346\) | 13.9077i | 0.747684i | ||||||||
\(347\) | −23.5557 | −1.26454 | −0.632268 | − | 0.774750i | \(-0.717876\pi\) | ||||
−0.632268 | + | 0.774750i | \(0.717876\pi\) | |||||||
\(348\) | −12.0071 | − | 11.0087i | −0.643647 | − | 0.590128i | ||||
\(349\) | − | 26.3071i | − | 1.40819i | −0.710108 | − | 0.704093i | \(-0.751354\pi\) | ||
0.710108 | − | 0.704093i | \(-0.248646\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.56085 | − | 2.73713i | −0.190064 | − | 0.146097i | ||||
\(352\) | − | 6.01614i | − | 0.320661i | ||||||
\(353\) | 8.37829i | 0.445931i | 0.974826 | + | 0.222966i | \(0.0715738\pi\) | ||||
−0.974826 | + | 0.222966i | \(0.928426\pi\) | |||||||
\(354\) | 8.30430 | − | 9.05742i | 0.441369 | − | 0.481397i | ||||
\(355\) | 8.74574 | + | 4.81880i | 0.464176 | + | 0.255755i | ||||
\(356\) | −3.08600 | −0.163558 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 19.7081i | − | 1.04161i | ||||||
\(359\) | − | 26.9651i | − | 1.42317i | −0.702602 | − | 0.711583i | \(-0.747979\pi\) | ||
0.702602 | − | 0.711583i | \(-0.252021\pi\) | |||||||
\(360\) | 6.13364 | + | 2.71633i | 0.323271 | + | 0.143163i | ||||
\(361\) | −31.7563 | −1.67138 | ||||||||
\(362\) | 6.02435i | 0.316633i | ||||||||
\(363\) | 29.4899 | − | 32.1643i | 1.54782 | − | 1.68819i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 13.8112 | − | 25.0662i | 0.722909 | − | 1.31202i | ||||
\(366\) | 11.9199 | + | 10.9288i | 0.623065 | + | 0.571257i | ||||
\(367\) | −24.6775 | −1.28815 | −0.644077 | − | 0.764961i | \(-0.722758\pi\) | ||||
−0.644077 | + | 0.764961i | \(0.722758\pi\) | |||||||
\(368\) | −2.10323 | −0.109639 | ||||||||
\(369\) | −1.38290 | − | 15.9100i | −0.0719911 | − | 0.828242i | ||||
\(370\) | 13.3521 | + | 7.35683i | 0.694141 | + | 0.382463i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 3.42657 | + | 3.14165i | 0.177659 | + | 0.162887i | ||||
\(373\) | − | 26.1293i | − | 1.35293i | −0.736477 | − | 0.676463i | \(-0.763512\pi\) | ||
0.736477 | − | 0.676463i | \(-0.236488\pi\) | |||||||
\(374\) | −17.1196 | −0.885231 | ||||||||
\(375\) | −12.2074 | + | 15.0326i | −0.630389 | + | 0.776279i | ||||
\(376\) | 3.12679i | 0.161252i | ||||||||
\(377\) | − | 8.12917i | − | 0.418673i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 25.5437 | 1.31209 | 0.656046 | − | 0.754721i | \(-0.272228\pi\) | ||||
0.656046 | + | 0.754721i | \(0.272228\pi\) | |||||||
\(380\) | 13.9527 | + | 7.68780i | 0.715761 | + | 0.394376i | ||||
\(381\) | 26.5709 | + | 24.3615i | 1.36127 | + | 1.24808i | ||||
\(382\) | 1.81768i | 0.0930006i | ||||||||
\(383\) | 15.2142i | 0.777409i | 0.921362 | + | 0.388705i | \(0.127077\pi\) | ||||
−0.921362 | + | 0.388705i | \(0.872923\pi\) | |||||||
\(384\) | −1.17052 | + | 1.27667i | −0.0597327 | + | 0.0651499i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0.613146i | 0.0312083i | ||||||||
\(387\) | 8.03935 | − | 0.698784i | 0.408663 | − | 0.0355212i | ||||
\(388\) | −1.90549 | −0.0967368 | ||||||||
\(389\) | 15.5321i | 0.787509i | 0.919216 | + | 0.393754i | \(0.128824\pi\) | ||||
−0.919216 | + | 0.393754i | \(0.871176\pi\) | |||||||
\(390\) | 1.06939 | + | 3.17220i | 0.0541505 | + | 0.160630i | ||||
\(391\) | 5.98497i | 0.302673i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −8.72258 | + | 9.51364i | −0.439996 | + | 0.479900i | ||||
\(394\) | 12.5151 | 0.630501 | ||||||||
\(395\) | −3.62356 | + | 6.57648i | −0.182321 | + | 0.330899i | ||||
\(396\) | −17.9806 | + | 1.56288i | −0.903560 | + | 0.0785378i | ||||
\(397\) | −9.93654 | −0.498701 | −0.249350 | − | 0.968413i | \(-0.580217\pi\) | ||||
−0.249350 | + | 0.968413i | \(0.580217\pi\) | |||||||
\(398\) | − | 10.7743i | − | 0.540066i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.67114 | − | 4.22670i | −0.133557 | − | 0.211335i | ||||
\(401\) | 14.2780i | 0.713007i | 0.934294 | + | 0.356504i | \(0.116031\pi\) | ||||
−0.934294 | + | 0.356504i | \(0.883969\pi\) | |||||||
\(402\) | 8.37545 | + | 7.67903i | 0.417730 | + | 0.382995i | ||||
\(403\) | 2.31989i | 0.115562i | ||||||||
\(404\) | −7.02133 | −0.349324 | ||||||||
\(405\) | 6.52498 | − | 19.0375i | 0.324229 | − | 0.945979i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −41.0158 | −2.03308 | ||||||||
\(408\) | 3.63291 | + | 3.33083i | 0.179856 | + | 0.164901i | ||||
\(409\) | 20.1305i | 0.995387i | 0.867353 | + | 0.497694i | \(0.165820\pi\) | ||||
−0.867353 | + | 0.497694i | \(0.834180\pi\) | |||||||
\(410\) | −5.74434 | + | 10.4255i | −0.283693 | + | 0.514880i | ||||
\(411\) | 4.69304 | − | 5.11865i | 0.231491 | − | 0.252485i | ||||
\(412\) | 9.51562 | 0.468801 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0.546381 | + | 6.28599i | 0.0268532 | + | 0.308940i | ||||
\(415\) | −2.50723 | − | 1.38145i | −0.123075 | − | 0.0678129i | ||||
\(416\) | −0.864346 | −0.0423781 | ||||||||
\(417\) | 20.0192 | + | 18.3546i | 0.980343 | + | 0.898827i | ||||
\(418\) | −42.8610 | −2.09640 | ||||||||
\(419\) | 11.8896 | 0.580845 | 0.290422 | − | 0.956899i | \(-0.406204\pi\) | ||||
0.290422 | + | 0.956899i | \(0.406204\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.6346 | 0.567038 | 0.283519 | − | 0.958967i | \(-0.408498\pi\) | ||||
0.283519 | + | 0.958967i | \(0.408498\pi\) | |||||||
\(422\) | 4.66797 | 0.227233 | ||||||||
\(423\) | 9.34514 | − | 0.812283i | 0.454376 | − | 0.0394946i | ||||
\(424\) | 11.9744 | 0.581530 | ||||||||
\(425\) | −12.0275 | + | 7.60100i | −0.583421 | + | 0.368703i | ||||
\(426\) | 5.70113 | + | 5.22708i | 0.276221 | + | 0.253253i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 9.23877 | 0.446573 | ||||||||
\(429\) | −6.63872 | − | 6.08671i | −0.320521 | − | 0.293869i | ||||
\(430\) | −5.26804 | − | 2.90263i | −0.254047 | − | 0.139977i | ||||
\(431\) | − | 4.34854i | − | 0.209462i | −0.994501 | − | 0.104731i | \(-0.966602\pi\) | ||
0.994501 | − | 0.104731i | \(-0.0333981\pi\) | |||||||
\(432\) | 4.11971 | + | 3.16670i | 0.198210 | + | 0.152358i | ||||
\(433\) | −15.3505 | −0.737698 | −0.368849 | − | 0.929489i | \(-0.620248\pi\) | ||||
−0.368849 | + | 0.929489i | \(0.620248\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 34.5168 | − | 11.6360i | 1.65495 | − | 0.557906i | ||||
\(436\) | 4.93955 | 0.236562 | ||||||||
\(437\) | 14.9841i | 0.716789i | ||||||||
\(438\) | 14.9813 | − | 16.3400i | 0.715837 | − | 0.780756i | ||||
\(439\) | − | 3.55667i | − | 0.169751i | −0.996392 | − | 0.0848753i | \(-0.972951\pi\) | ||
0.996392 | − | 0.0848753i | \(-0.0270492\pi\) | |||||||
\(440\) | 11.7824 | + | 6.49194i | 0.561702 | + | 0.309491i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.45959i | 0.116991i | ||||||||
\(443\) | 9.38403 | 0.445849 | 0.222924 | − | 0.974836i | \(-0.428440\pi\) | ||||
0.222924 | + | 0.974836i | \(0.428440\pi\) | |||||||
\(444\) | 8.70388 | + | 7.98015i | 0.413068 | + | 0.378721i | ||||
\(445\) | 3.33007 | − | 6.04382i | 0.157860 | − | 0.286504i | ||||
\(446\) | 0.973096 | 0.0460774 | ||||||||
\(447\) | −10.6981 | − | 9.80851i | −0.506000 | − | 0.463927i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 0.400479i | 0.0188998i | 0.999955 | + | 0.00944989i | \(0.00300804\pi\) | ||||
−0.999955 | + | 0.00944989i | \(0.996992\pi\) | |||||||
\(450\) | −11.9386 | + | 9.08133i | −0.562790 | + | 0.428098i | ||||
\(451\) | − | 32.0259i | − | 1.50804i | ||||||
\(452\) | −11.3769 | −0.535126 | ||||||||
\(453\) | −9.45750 | + | 10.3152i | −0.444352 | + | 0.484651i | ||||
\(454\) | 23.8398i | 1.11886i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 9.09545 | + | 8.33916i | 0.425933 | + | 0.390517i | ||||
\(457\) | 34.3815i | 1.60830i | 0.594428 | + | 0.804149i | \(0.297378\pi\) | ||||
−0.594428 | + | 0.804149i | \(0.702622\pi\) | |||||||
\(458\) | − | 19.7831i | − | 0.924401i | ||||||
\(459\) | 9.01119 | − | 11.7231i | 0.420606 | − | 0.547186i | ||||
\(460\) | 2.26957 | − | 4.11910i | 0.105819 | − | 0.192054i | ||||
\(461\) | 33.8119 | 1.57478 | 0.787389 | − | 0.616456i | \(-0.211432\pi\) | ||||
0.787389 | + | 0.616456i | \(0.211432\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 0.505232i | − | 0.0234801i | −0.999931 | − | 0.0117401i | \(-0.996263\pi\) | ||
0.999931 | − | 0.0117401i | \(-0.00373706\pi\) | |||||||
\(464\) | 9.40499i | 0.436616i | ||||||||
\(465\) | −9.85037 | + | 3.32068i | −0.456800 | + | 0.153993i | ||||
\(466\) | 1.78655 | 0.0827604 | ||||||||
\(467\) | − | 24.8661i | − | 1.15067i | −0.817919 | − | 0.575333i | \(-0.804873\pi\) | ||
0.817919 | − | 0.575333i | \(-0.195127\pi\) | |||||||
\(468\) | 0.224541 | + | 2.58330i | 0.0103794 | + | 0.119413i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −6.12370 | − | 3.37408i | −0.282465 | − | 0.155635i | ||||
\(471\) | 5.22433 | − | 5.69812i | 0.240724 | − | 0.262556i | ||||
\(472\) | −7.09456 | −0.326554 | ||||||||
\(473\) | 16.1827 | 0.744083 | ||||||||
\(474\) | −3.93058 | + | 4.28704i | −0.180537 | + | 0.196910i | ||||
\(475\) | −30.1125 | + | 19.0301i | −1.38166 | + | 0.873161i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.11074 | − | 35.7884i | −0.142431 | − | 1.63864i | ||||
\(478\) | 17.2961i | 0.791106i | ||||||||
\(479\) | 1.48138 | 0.0676859 | 0.0338430 | − | 0.999427i | \(-0.489225\pi\) | ||||
0.0338430 | + | 0.999427i | \(0.489225\pi\) | |||||||
\(480\) | −1.23722 | − | 3.67005i | −0.0564711 | − | 0.167514i | ||||
\(481\) | 5.89279i | 0.268688i | ||||||||
\(482\) | − | 8.26145i | − | 0.376299i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −25.1939 | −1.14518 | ||||||||
\(485\) | 2.05620 | − | 3.73184i | 0.0933671 | − | 0.169454i | ||||
\(486\) | 8.39420 | − | 13.1353i | 0.380769 | − | 0.595832i | ||||
\(487\) | − | 7.86665i | − | 0.356472i | −0.983988 | − | 0.178236i | \(-0.942961\pi\) | ||
0.983988 | − | 0.178236i | \(-0.0570391\pi\) | |||||||
\(488\) | − | 9.33672i | − | 0.422653i | ||||||
\(489\) | −27.7133 | − | 25.4090i | −1.25324 | − | 1.14903i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 16.0379i | − | 0.723778i | −0.932221 | − | 0.361889i | \(-0.882132\pi\) | ||
0.932221 | − | 0.361889i | \(-0.117868\pi\) | |||||||
\(492\) | −6.23105 | + | 6.79615i | −0.280917 | + | 0.306394i | ||||
\(493\) | 26.7629 | 1.20534 | ||||||||
\(494\) | 6.15790i | 0.277057i | ||||||||
\(495\) | 16.3418 | − | 36.9008i | 0.734510 | − | 1.65857i | ||||
\(496\) | − | 2.68399i | − | 0.120514i | ||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −1.63440 | − | 1.49850i | −0.0732392 | − | 0.0671494i | ||||
\(499\) | 8.37964 | 0.375124 | 0.187562 | − | 0.982253i | \(-0.439941\pi\) | ||||
0.187562 | + | 0.982253i | \(0.439941\pi\) | |||||||
\(500\) | 11.1602 | − | 0.670330i | 0.499101 | − | 0.0299781i | ||||
\(501\) | 19.2671 | + | 17.6650i | 0.860789 | + | 0.789214i | ||||
\(502\) | 15.8307 | 0.706558 | ||||||||
\(503\) | 31.5447i | 1.40651i | 0.710939 | + | 0.703254i | \(0.248270\pi\) | ||||
−0.710939 | + | 0.703254i | \(0.751730\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.57663 | − | 13.7510i | 0.337156 | − | 0.611911i | ||||
\(506\) | 12.6533i | 0.562509i | ||||||||
\(507\) | 14.3422 | − | 15.6429i | 0.636961 | − | 0.694727i | ||||
\(508\) | − | 20.8126i | − | 0.923411i | ||||||
\(509\) | −21.9316 | −0.972101 | −0.486051 | − | 0.873931i | \(-0.661563\pi\) | ||||
−0.486051 | + | 0.873931i | \(0.661563\pi\) | |||||||
\(510\) | −10.4435 | + | 3.52064i | −0.462447 | + | 0.155897i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 22.5607 | − | 29.3502i | 0.996079 | − | 1.29584i | ||||
\(514\) | − | 29.7033i | − | 1.31016i | ||||||
\(515\) | −10.2682 | + | 18.6360i | −0.452471 | + | 0.821199i | ||||
\(516\) | −3.43410 | − | 3.14856i | −0.151178 | − | 0.138608i | ||||
\(517\) | 18.8112 | 0.827316 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −17.7556 | − | 16.2792i | −0.779384 | − | 0.714578i | ||||
\(520\) | 0.932706 | − | 1.69279i | 0.0409019 | − | 0.0742337i | ||||
\(521\) | 6.73422 | 0.295032 | 0.147516 | − | 0.989060i | \(-0.452872\pi\) | ||||
0.147516 | + | 0.989060i | \(0.452872\pi\) | |||||||
\(522\) | 28.1090 | − | 2.44324i | 1.23030 | − | 0.106938i | ||||
\(523\) | 36.6831 | 1.60404 | 0.802020 | − | 0.597298i | \(-0.203759\pi\) | ||||
0.802020 | + | 0.597298i | \(0.203759\pi\) | |||||||
\(524\) | 7.45191 | 0.325538 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −23.1913 | −1.01119 | ||||||||
\(527\) | −7.63757 | −0.332698 | ||||||||
\(528\) | 7.68063 | + | 7.04199i | 0.334257 | + | 0.306463i | ||||
\(529\) | −18.5764 | −0.807670 | ||||||||
\(530\) | −12.9215 | + | 23.4515i | −0.561273 | + | 1.01867i | ||||
\(531\) | 1.84304 | + | 21.2037i | 0.0799810 | + | 0.920164i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.60120 | −0.199300 | ||||||||
\(534\) | 3.61222 | − | 3.93981i | 0.156316 | − | 0.170492i | ||||
\(535\) | −9.96945 | + | 18.0938i | −0.431017 | + | 0.782262i | ||||
\(536\) | − | 6.56038i | − | 0.283365i | ||||||
\(537\) | 25.1608 | + | 23.0687i | 1.08577 | + | 0.995487i | ||||
\(538\) | 13.3485 | 0.575495 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −10.6474 | + | 4.65113i | −0.458191 | + | 0.200153i | ||||
\(541\) | 6.45386 | 0.277473 | 0.138737 | − | 0.990329i | \(-0.455696\pi\) | ||||
0.138737 | + | 0.990329i | \(0.455696\pi\) | |||||||
\(542\) | 17.0251i | 0.731289i | ||||||||
\(543\) | −7.69112 | − | 7.05161i | −0.330058 | − | 0.302613i | ||||
\(544\) | − | 2.84561i | − | 0.122004i | ||||||
\(545\) | −5.33021 | + | 9.67392i | −0.228321 | + | 0.414385i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 17.9484i | 0.767418i | 0.923454 | + | 0.383709i | \(0.125353\pi\) | ||||
−0.923454 | + | 0.383709i | \(0.874647\pi\) | |||||||
\(548\) | −4.00937 | −0.171272 | ||||||||
\(549\) | −27.9049 | + | 2.42551i | −1.19095 | + | 0.103518i | ||||
\(550\) | −25.4284 | + | 16.0699i | −1.08427 | + | 0.685224i | ||||
\(551\) | 67.0044 | 2.85448 | ||||||||
\(552\) | 2.46187 | − | 2.68514i | 0.104784 | − | 0.114287i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 19.4359i | 0.825751i | ||||||||
\(555\) | −25.0211 | + | 8.43491i | −1.06208 | + | 0.358042i | ||||
\(556\) | − | 15.6807i | − | 0.665012i | ||||||
\(557\) | −11.0063 | −0.466354 | −0.233177 | − | 0.972434i | \(-0.574912\pi\) | ||||
−0.233177 | + | 0.972434i | \(0.574912\pi\) | |||||||
\(558\) | −8.02171 | + | 0.697250i | −0.339586 | + | 0.0295170i | ||||
\(559\) | − | 2.32499i | − | 0.0983368i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 20.0387 | − | 21.8561i | 0.846036 | − | 0.922763i | ||||
\(562\) | 10.9247i | 0.460831i | ||||||||
\(563\) | − | 7.74278i | − | 0.326319i | −0.986600 | − | 0.163160i | \(-0.947831\pi\) | ||
0.986600 | − | 0.163160i | \(-0.0521686\pi\) | |||||||
\(564\) | −3.99189 | − | 3.65996i | −0.168089 | − | 0.154112i | ||||
\(565\) | 12.2767 | − | 22.2813i | 0.516485 | − | 0.937381i | ||||
\(566\) | 27.9118 | 1.17322 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 4.46562i | − | 0.187373i | ||||||
\(569\) | 29.7890i | 1.24882i | 0.781097 | + | 0.624409i | \(0.214660\pi\) | ||||
−0.781097 | + | 0.624409i | \(0.785340\pi\) | |||||||
\(570\) | −26.1467 | + | 8.81439i | −1.09517 | + | 0.369194i | ||||
\(571\) | 4.12163 | 0.172485 | 0.0862424 | − | 0.996274i | \(-0.472514\pi\) | ||||
0.0862424 | + | 0.996274i | \(0.472514\pi\) | |||||||
\(572\) | 5.20002i | 0.217424i | ||||||||
\(573\) | −2.32058 | − | 2.12763i | −0.0969437 | − | 0.0888828i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 5.61802 | + | 8.88974i | 0.234288 | + | 0.370728i | ||||
\(576\) | −0.259782 | − | 2.98873i | −0.0108242 | − | 0.124530i | ||||
\(577\) | 15.2456 | 0.634681 | 0.317341 | − | 0.948312i | \(-0.397210\pi\) | ||||
0.317341 | + | 0.948312i | \(0.397210\pi\) | |||||||
\(578\) | 8.90252 | 0.370296 | ||||||||
\(579\) | −0.782786 | − | 0.717698i | −0.0325315 | − | 0.0298265i | ||||
\(580\) | −18.4193 | − | 10.1488i | −0.764820 | − | 0.421407i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 2.23041 | − | 2.43269i | 0.0924536 | − | 0.100838i | ||||
\(583\) | − | 72.0399i | − | 2.98359i | ||||||
\(584\) | −12.7989 | −0.529623 | ||||||||
\(585\) | −5.30159 | − | 2.34785i | −0.219194 | − | 0.0970717i | ||||
\(586\) | 9.87883i | 0.408091i | ||||||||
\(587\) | 3.06358i | 0.126447i | 0.997999 | + | 0.0632237i | \(0.0201382\pi\) | ||||
−0.997999 | + | 0.0632237i | \(0.979862\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −19.1216 | −0.787893 | ||||||||
\(590\) | 7.65566 | − | 13.8944i | 0.315178 | − | 0.572024i | ||||
\(591\) | −14.6491 | + | 15.9777i | −0.602584 | + | 0.657233i | ||||
\(592\) | − | 6.81763i | − | 0.280203i | ||||||
\(593\) | − | 0.944328i | − | 0.0387789i | −0.999812 | − | 0.0193895i | \(-0.993828\pi\) | ||
0.999812 | − | 0.0193895i | \(-0.00617224\pi\) | |||||||
\(594\) | 19.0513 | − | 24.7847i | 0.781685 | − | 1.01693i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 8.37964i | 0.343243i | ||||||||
\(597\) | 13.7552 | + | 12.6115i | 0.562963 | + | 0.516153i | ||||
\(598\) | 1.81792 | 0.0743403 | ||||||||
\(599\) | − | 37.4531i | − | 1.53029i | −0.643857 | − | 0.765146i | \(-0.722667\pi\) | ||
0.643857 | − | 0.765146i | \(-0.277333\pi\) | |||||||
\(600\) | 8.52272 | + | 1.53726i | 0.347939 | + | 0.0627585i | ||||
\(601\) | − | 46.7301i | − | 1.90616i | −0.302716 | − | 0.953081i | \(-0.597893\pi\) | ||
0.302716 | − | 0.953081i | \(-0.402107\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −19.6072 | + | 1.70427i | −0.798467 | + | 0.0694031i | ||||
\(604\) | 8.07977 | 0.328761 | ||||||||
\(605\) | 27.1864 | − | 49.3413i | 1.10529 | − | 2.00601i | ||||
\(606\) | 8.21858 | − | 8.96393i | 0.333857 | − | 0.364135i | ||||
\(607\) | 24.1453 | 0.980026 | 0.490013 | − | 0.871715i | \(-0.336992\pi\) | ||||
0.490013 | + | 0.871715i | \(0.336992\pi\) | |||||||
\(608\) | − | 7.12434i | − | 0.288930i | ||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 18.2856 | + | 10.0751i | 0.740362 | + | 0.407931i | ||||
\(611\) | − | 2.70263i | − | 0.109337i | ||||||
\(612\) | −8.50475 | + | 0.739237i | −0.343784 | + | 0.0298819i | ||||
\(613\) | 24.6198i | 0.994383i | 0.867641 | + | 0.497191i | \(0.165635\pi\) | ||||
−0.867641 | + | 0.497191i | \(0.834365\pi\) | |||||||
\(614\) | −2.95602 | −0.119295 | ||||||||
\(615\) | −6.58614 | − | 19.5369i | −0.265579 | − | 0.787804i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 34.6057 | 1.39317 | 0.696586 | − | 0.717474i | \(-0.254702\pi\) | ||||
0.696586 | + | 0.717474i | \(0.254702\pi\) | |||||||
\(618\) | −11.1382 | + | 12.1483i | −0.448044 | + | 0.488677i | ||||
\(619\) | 17.3011i | 0.695388i | 0.937608 | + | 0.347694i | \(0.113035\pi\) | ||||
−0.937608 | + | 0.347694i | \(0.886965\pi\) | |||||||
\(620\) | 5.25648 | + | 2.89626i | 0.211105 | + | 0.116316i | ||||
\(621\) | −8.66470 | − | 6.66031i | −0.347702 | − | 0.267269i | ||||
\(622\) | 8.59316 | 0.344554 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 1.01173 | − | 1.10349i | 0.0405017 | − | 0.0441748i | ||||
\(625\) | −10.7301 | + | 22.5802i | −0.429202 | + | 0.903208i | ||||
\(626\) | −19.8544 | −0.793542 | ||||||||
\(627\) | 50.1695 | − | 54.7195i | 2.00358 | − | 2.18529i | ||||
\(628\) | −4.46327 | −0.178104 | ||||||||
\(629\) | −19.4003 | −0.773540 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6.04364 | 0.240593 | 0.120297 | − | 0.992738i | \(-0.461615\pi\) | ||||
0.120297 | + | 0.992738i | \(0.461615\pi\) | |||||||
\(632\) | 3.35798 | 0.133573 | ||||||||
\(633\) | −5.46394 | + | 5.95947i | −0.217172 | + | 0.236868i | ||||
\(634\) | −29.2008 | −1.15971 | ||||||||
\(635\) | 40.7607 | + | 22.4587i | 1.61754 | + | 0.891245i | ||||
\(636\) | −14.0163 | + | 15.2874i | −0.555782 | + | 0.606186i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 56.5817 | 2.24009 | ||||||||
\(639\) | −13.3465 | + | 1.16009i | −0.527981 | + | 0.0458923i | ||||
\(640\) | −1.07909 | + | 1.95846i | −0.0426547 | + | 0.0774150i | ||||
\(641\) | 4.78542i | 0.189013i | 0.995524 | + | 0.0945065i | \(0.0301273\pi\) | ||||
−0.995524 | + | 0.0945065i | \(0.969873\pi\) | |||||||
\(642\) | −10.8141 | + | 11.7949i | −0.426800 | + | 0.465507i | ||||
\(643\) | 40.9370 | 1.61440 | 0.807198 | − | 0.590280i | \(-0.200983\pi\) | ||||
0.807198 | + | 0.590280i | \(0.200983\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 9.87203 | − | 3.32799i | 0.388711 | − | 0.131039i | ||||
\(646\) | −20.2731 | −0.797634 | ||||||||
\(647\) | 24.3583i | 0.957623i | 0.877918 | + | 0.478811i | \(0.158932\pi\) | ||||
−0.877918 | + | 0.478811i | \(0.841068\pi\) | |||||||
\(648\) | −8.86503 | + | 1.55284i | −0.348251 | + | 0.0610011i | ||||
\(649\) | 42.6818i | 1.67541i | ||||||||
\(650\) | 2.30879 | + | 3.65334i | 0.0905581 | + | 0.143296i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 21.7075i | 0.850131i | ||||||||
\(653\) | −15.9386 | −0.623726 | −0.311863 | − | 0.950127i | \(-0.600953\pi\) | ||||
−0.311863 | + | 0.950127i | \(0.600953\pi\) | |||||||
\(654\) | −5.78183 | + | 6.30619i | −0.226087 | + | 0.246591i | ||||
\(655\) | −8.04127 | + | 14.5943i | −0.314198 | + | 0.570245i | ||||
\(656\) | 5.32333 | 0.207841 | ||||||||
\(657\) | 3.32493 | + | 38.2525i | 0.129718 | + | 1.49237i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.76616i | 0.0687997i | 0.999408 | + | 0.0343998i | \(0.0109520\pi\) | ||||
−0.999408 | + | 0.0343998i | \(0.989048\pi\) | |||||||
\(660\) | −22.0795 | + | 7.44329i | −0.859445 | + | 0.289730i | ||||
\(661\) | 30.5932i | 1.18994i | 0.803748 | + | 0.594970i | \(0.202836\pi\) | ||||
−0.803748 | + | 0.594970i | \(0.797164\pi\) | |||||||
\(662\) | −8.99040 | −0.349422 | ||||||||
\(663\) | −3.14009 | − | 2.87899i | −0.121951 | − | 0.111811i | ||||
\(664\) | 1.28020i | 0.0496815i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −20.3761 | + | 1.77110i | −0.789556 | + | 0.0686286i | ||||
\(667\) | − | 19.7809i | − | 0.765918i | ||||||
\(668\) | − | 15.0916i | − | 0.583913i | ||||||
\(669\) | −1.13902 | + | 1.24232i | −0.0440372 | + | 0.0480310i | ||||
\(670\) | 12.8482 | + | 7.07923i | 0.496371 | + | 0.273494i | ||||
\(671\) | −56.1710 | −2.16846 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 8.47471i | − | 0.326676i | −0.986570 | − | 0.163338i | \(-0.947774\pi\) | ||
0.986570 | − | 0.163338i | \(-0.0522261\pi\) | |||||||
\(674\) | 16.7043i | 0.643424i | ||||||||
\(675\) | 2.38041 | − | 25.8715i | 0.0916222 | − | 0.995794i | ||||
\(676\) | −12.2529 | −0.471266 | ||||||||
\(677\) | 8.78118i | 0.337488i | 0.985660 | + | 0.168744i | \(0.0539712\pi\) | ||||
−0.985660 | + | 0.168744i | \(0.946029\pi\) | |||||||
\(678\) | 13.3169 | − | 14.5246i | 0.511432 | − | 0.557814i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 5.57301 | + | 3.07066i | 0.213715 | + | 0.117754i | ||||
\(681\) | −30.4357 | − | 27.9049i | −1.16630 | − | 1.06932i | ||||
\(682\) | −16.1472 | −0.618309 | ||||||||
\(683\) | 19.7411 | 0.755372 | 0.377686 | − | 0.925934i | \(-0.376720\pi\) | ||||
0.377686 | + | 0.925934i | \(0.376720\pi\) | |||||||
\(684\) | −21.2928 | + | 1.85077i | −0.814149 | + | 0.0707661i | ||||
\(685\) | 4.32647 | − | 7.85220i | 0.165306 | − | 0.300017i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 25.2565 | + | 23.1564i | 0.963594 | + | 0.883471i | ||||
\(688\) | 2.68989i | 0.102551i | ||||||||
\(689\) | −10.3501 | −0.394306 | ||||||||
\(690\) | 2.60216 | + | 7.71897i | 0.0990626 | + | 0.293856i | ||||
\(691\) | 31.4383i | 1.19597i | 0.801508 | + | 0.597984i | \(0.204032\pi\) | ||||
−0.801508 | + | 0.597984i | \(0.795968\pi\) | |||||||
\(692\) | 13.9077i | 0.528692i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −23.5557 | −0.894162 | ||||||||
\(695\) | 30.7101 | + | 16.9209i | 1.16490 | + | 0.641847i | ||||
\(696\) | −12.0071 | − | 11.0087i | −0.455127 | − | 0.417284i | ||||
\(697\) | − | 15.1481i | − | 0.573775i | ||||||
\(698\) | − | 26.3071i | − | 0.995738i | ||||||
\(699\) | −2.09119 | + | 2.28084i | −0.0790960 | + | 0.0862693i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 8.41296i | − | 0.317753i | −0.987298 | − | 0.158877i | \(-0.949213\pi\) | ||
0.987298 | − | 0.158877i | \(-0.0507872\pi\) | |||||||
\(702\) | −3.56085 | − | 2.73713i | −0.134396 | − | 0.103306i | ||||
\(703\) | −48.5712 | −1.83190 | ||||||||
\(704\) | − | 6.01614i | − | 0.226742i | ||||||
\(705\) | 11.4755 | − | 3.86853i | 0.432192 | − | 0.145697i | ||||
\(706\) | 8.37829i | 0.315321i | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 8.30430 | − | 9.05742i | 0.312095 | − | 0.340399i | ||||
\(709\) | 45.6062 | 1.71278 | 0.856388 | − | 0.516333i | \(-0.172703\pi\) | ||||
0.856388 | + | 0.516333i | \(0.172703\pi\) | |||||||
\(710\) | 8.74574 | + | 4.81880i | 0.328222 | + | 0.180846i | ||||
\(711\) | −0.872343 | − | 10.0361i | −0.0327154 | − | 0.376384i | ||||
\(712\) | −3.08600 | −0.115653 | ||||||||
\(713\) | 5.64504i | 0.211409i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −10.1840 | − | 5.61128i | −0.380862 | − | 0.209850i | ||||
\(716\) | − | 19.7081i | − | 0.736527i | ||||||
\(717\) | −22.0815 | − | 20.2454i | −0.824647 | − | 0.756078i | ||||
\(718\) | − | 26.9651i | − | 1.00633i | ||||||
\(719\) | −2.90920 | −0.108495 | −0.0542475 | − | 0.998528i | \(-0.517276\pi\) | ||||
−0.0542475 | + | 0.998528i | \(0.517276\pi\) | |||||||
\(720\) | 6.13364 | + | 2.71633i | 0.228587 | + | 0.101232i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −31.7563 | −1.18185 | ||||||||
\(723\) | 10.5472 | + | 9.67016i | 0.392253 | + | 0.359637i | ||||
\(724\) | 6.02435i | 0.223893i | ||||||||
\(725\) | 39.7521 | − | 25.1220i | 1.47636 | − | 0.933008i | ||||
\(726\) | 29.4899 | − | 32.1643i | 1.09447 | − | 1.19373i | ||||
\(727\) | −38.0076 | −1.40963 | −0.704813 | − | 0.709394i | \(-0.748969\pi\) | ||||
−0.704813 | + | 0.709394i | \(0.748969\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 6.94398 | + | 26.0918i | 0.257184 | + | 0.966362i | ||||
\(730\) | 13.8112 | − | 25.0662i | 0.511174 | − | 0.927741i | ||||
\(731\) | 7.65436 | 0.283107 | ||||||||
\(732\) | 11.9199 | + | 10.9288i | 0.440573 | + | 0.403940i | ||||
\(733\) | 25.5691 | 0.944417 | 0.472208 | − | 0.881487i | \(-0.343457\pi\) | ||||
0.472208 | + | 0.881487i | \(0.343457\pi\) | |||||||
\(734\) | −24.6775 | −0.910862 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.10323 | −0.0775262 | ||||||||
\(737\) | −39.4681 | −1.45383 | ||||||||
\(738\) | −1.38290 | − | 15.9100i | −0.0509054 | − | 0.585655i | ||||
\(739\) | −12.6545 | −0.465503 | −0.232751 | − | 0.972536i | \(-0.574773\pi\) | ||||
−0.232751 | + | 0.972536i | \(0.574773\pi\) | |||||||
\(740\) | 13.3521 | + | 7.35683i | 0.490832 | + | 0.270442i | ||||
\(741\) | −7.86162 | − | 7.20792i | −0.288804 | − | 0.264790i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 2.67310 | 0.0980667 | 0.0490333 | − | 0.998797i | \(-0.484386\pi\) | ||||
0.0490333 | + | 0.998797i | \(0.484386\pi\) | |||||||
\(744\) | 3.42657 | + | 3.14165i | 0.125624 | + | 0.115178i | ||||
\(745\) | −16.4112 | − | 9.04237i | −0.601260 | − | 0.331287i | ||||
\(746\) | − | 26.1293i | − | 0.956663i | ||||||
\(747\) | 3.82618 | − | 0.332574i | 0.139993 | − | 0.0121682i | ||||
\(748\) | −17.1196 | −0.625953 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −12.2074 | + | 15.0326i | −0.445753 | + | 0.548912i | ||||
\(751\) | −23.3381 | −0.851620 | −0.425810 | − | 0.904813i | \(-0.640011\pi\) | ||||
−0.425810 | + | 0.904813i | \(0.640011\pi\) | |||||||
\(752\) | 3.12679i | 0.114022i | ||||||||
\(753\) | −18.5301 | + | 20.2106i | −0.675274 | + | 0.736515i | ||||
\(754\) | − | 8.12917i | − | 0.296047i | ||||||
\(755\) | −8.71878 | + | 15.8239i | −0.317309 | + | 0.575891i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 27.4191i | − | 0.996564i | −0.867015 | − | 0.498282i | \(-0.833964\pi\) | ||
0.867015 | − | 0.498282i | \(-0.166036\pi\) | |||||||
\(758\) | 25.5437 | 0.927789 | ||||||||
\(759\) | −16.1541 | − | 14.8109i | −0.586358 | − | 0.537603i | ||||
\(760\) | 13.9527 | + | 7.68780i | 0.506119 | + | 0.278866i | ||||
\(761\) | −42.5484 | −1.54238 | −0.771188 | − | 0.636607i | \(-0.780337\pi\) | ||||
−0.771188 | + | 0.636607i | \(0.780337\pi\) | |||||||
\(762\) | 26.5709 | + | 24.3615i | 0.962562 | + | 0.882525i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 1.81768i | 0.0657614i | ||||||||
\(765\) | 7.72961 | − | 17.4539i | 0.279465 | − | 0.631048i | ||||
\(766\) | 15.2142i | 0.549711i | ||||||||
\(767\) | 6.13216 | 0.221419 | ||||||||
\(768\) | −1.17052 | + | 1.27667i | −0.0422374 | + | 0.0460679i | ||||
\(769\) | − | 25.4075i | − | 0.916219i | −0.888896 | − | 0.458110i | \(-0.848527\pi\) | ||
0.888896 | − | 0.458110i | \(-0.151473\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 37.9214 | + | 34.7682i | 1.36570 | + | 1.25215i | ||||
\(772\) | 0.613146i | 0.0220676i | ||||||||
\(773\) | − | 15.8923i | − | 0.571607i | −0.958288 | − | 0.285804i | \(-0.907739\pi\) | ||
0.958288 | − | 0.285804i | \(-0.0922605\pi\) | |||||||
\(774\) | 8.03935 | − | 0.698784i | 0.288969 | − | 0.0251173i | ||||
\(775\) | −11.3444 | + | 7.16929i | −0.407503 | + | 0.257529i | ||||
\(776\) | −1.90549 | −0.0684033 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 15.5321i | 0.556853i | ||||||||
\(779\) | − | 37.9252i | − | 1.35881i | ||||||
\(780\) | 1.06939 | + | 3.17220i | 0.0382902 | + | 0.113583i | ||||
\(781\) | −26.8658 | −0.961333 | ||||||||
\(782\) | 5.98497i | 0.214022i | ||||||||
\(783\) | −29.7828 | + | 38.7458i | −1.06435 | + | 1.38466i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 4.81626 | − | 8.74113i | 0.171900 | − | 0.311984i | ||||
\(786\) | −8.72258 | + | 9.51364i | −0.311124 | + | 0.339340i | ||||
\(787\) | 26.1564 | 0.932375 | 0.466188 | − | 0.884686i | \(-0.345627\pi\) | ||||
0.466188 | + | 0.884686i | \(0.345627\pi\) | |||||||
\(788\) | 12.5151 | 0.445832 | ||||||||
\(789\) | 27.1458 | − | 29.6076i | 0.966415 | − | 1.05406i | ||||
\(790\) | −3.62356 | + | 6.57648i | −0.128921 | + | 0.233981i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −17.9806 | + | 1.56288i | −0.638913 | + | 0.0555346i | ||||
\(793\) | 8.07016i | 0.286580i | ||||||||
\(794\) | −9.93654 | −0.352635 | ||||||||
\(795\) | −14.8150 | − | 43.9468i | −0.525435 | − | 1.55863i | ||||
\(796\) | − | 10.7743i | − | 0.381884i | ||||||
\(797\) | 29.9169i | 1.05971i | 0.848088 | + | 0.529856i | \(0.177754\pi\) | ||||
−0.848088 | + | 0.529856i | \(0.822246\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.89762 | 0.314775 | ||||||||
\(800\) | −2.67114 | − | 4.22670i | −0.0944390 | − | 0.149437i | ||||
\(801\) | 0.801687 | + | 9.22324i | 0.0283262 | + | 0.325887i | ||||
\(802\) | 14.2780i | 0.504172i | ||||||||
\(803\) | 77.0001i | 2.71727i | ||||||||
\(804\) | 8.37545 | + | 7.67903i | 0.295379 | + | 0.270819i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.31989i | 0.0817147i | ||||||||
\(807\) | −15.6247 | + | 17.0417i | −0.550014 | + | 0.599895i | ||||
\(808\) | −7.02133 | −0.247009 | ||||||||
\(809\) | − | 21.4579i | − | 0.754421i | −0.926128 | − | 0.377210i | \(-0.876883\pi\) | ||
0.926128 | − | 0.377210i | \(-0.123117\pi\) | |||||||
\(810\) | 6.52498 | − | 19.0375i | 0.229264 | − | 0.668908i | ||||
\(811\) | − | 3.56272i | − | 0.125104i | −0.998042 | − | 0.0625520i | \(-0.980076\pi\) | ||
0.998042 | − | 0.0625520i | \(-0.0199239\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −21.7354 | − | 19.9281i | −0.762294 | − | 0.698909i | ||||
\(814\) | −41.0158 | −1.43760 | ||||||||
\(815\) | −42.5133 | − | 23.4243i | −1.48917 | − | 0.820517i | ||||
\(816\) | 3.63291 | + | 3.33083i | 0.127177 | + | 0.116602i | ||||
\(817\) | 19.1637 | 0.670453 | ||||||||
\(818\) | 20.1305i | 0.703845i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −5.74434 | + | 10.4255i | −0.200601 | + | 0.364075i | ||||
\(821\) | − | 11.2180i | − | 0.391512i | −0.980653 | − | 0.195756i | \(-0.937284\pi\) | ||
0.980653 | − | 0.195756i | \(-0.0627161\pi\) | |||||||
\(822\) | 4.69304 | − | 5.11865i | 0.163689 | − | 0.178534i | ||||
\(823\) | − | 27.0364i | − | 0.942429i | −0.882019 | − | 0.471214i | \(-0.843816\pi\) | ||
0.882019 | − | 0.471214i | \(-0.156184\pi\) | |||||||
\(824\) | 9.51562 | 0.331492 | ||||||||
\(825\) | 9.24838 | − | 51.2739i | 0.321987 | − | 1.78513i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −26.8301 | −0.932974 | −0.466487 | − | 0.884528i | \(-0.654481\pi\) | ||||
−0.466487 | + | 0.884528i | \(0.654481\pi\) | |||||||
\(828\) | 0.546381 | + | 6.28599i | 0.0189881 | + | 0.218453i | ||||
\(829\) | 6.76305i | 0.234891i | 0.993079 | + | 0.117445i | \(0.0374705\pi\) | ||||
−0.993079 | + | 0.117445i | \(0.962530\pi\) | |||||||
\(830\) | −2.50723 | − | 1.38145i | −0.0870272 | − | 0.0479509i | ||||
\(831\) | −24.8132 | − | 22.7500i | −0.860761 | − | 0.789189i | ||||
\(832\) | −0.864346 | −0.0299658 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 20.0192 | + | 18.3546i | 0.693207 | + | 0.635567i | ||||
\(835\) | 29.5564 | + | 16.2852i | 1.02284 | + | 0.563573i | ||||
\(836\) | −42.8610 | −1.48238 | ||||||||
\(837\) | 8.49939 | − | 11.0572i | 0.293782 | − | 0.382194i | ||||
\(838\) | 11.8896 | 0.410719 | ||||||||
\(839\) | 52.6113 | 1.81634 | 0.908172 | − | 0.418597i | \(-0.137478\pi\) | ||||
0.908172 | + | 0.418597i | \(0.137478\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −59.4538 | −2.05013 | ||||||||
\(842\) | 11.6346 | 0.400956 | ||||||||
\(843\) | −13.9473 | − | 12.7876i | −0.480370 | − | 0.440427i | ||||
\(844\) | 4.66797 | 0.160678 | ||||||||
\(845\) | 13.2220 | − | 23.9968i | 0.454849 | − | 0.825516i | ||||
\(846\) | 9.34514 | − | 0.812283i | 0.321293 | − | 0.0279269i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 11.9744 | 0.411204 | ||||||||
\(849\) | −32.6712 | + | 35.6342i | −1.12127 | + | 1.22296i | ||||
\(850\) | −12.0275 | + | 7.60100i | −0.412541 | + | 0.260712i | ||||
\(851\) | 14.3391i | 0.491537i | ||||||||
\(852\) | 5.70113 | + | 5.22708i | 0.195317 | + | 0.179077i | ||||
\(853\) | 35.7772 | 1.22499 | 0.612494 | − | 0.790475i | \(-0.290166\pi\) | ||||
0.612494 | + | 0.790475i | \(0.290166\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 19.3521 | − | 43.6982i | 0.661827 | − | 1.49445i | ||||
\(856\) | 9.23877 | 0.315775 | ||||||||
\(857\) | 26.9017i | 0.918946i | 0.888192 | + | 0.459473i | \(0.151962\pi\) | ||||
−0.888192 | + | 0.459473i | \(0.848038\pi\) | |||||||
\(858\) | −6.63872 | − | 6.08671i | −0.226642 | − | 0.207797i | ||||
\(859\) | 24.1993i | 0.825670i | 0.910806 | + | 0.412835i | \(0.135461\pi\) | ||||
−0.910806 | + | 0.412835i | \(0.864539\pi\) | |||||||
\(860\) | −5.26804 | − | 2.90263i | −0.179639 | − | 0.0989787i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | − | 4.34854i | − | 0.148112i | ||||||
\(863\) | 25.2452 | 0.859355 | 0.429677 | − | 0.902982i | \(-0.358627\pi\) | ||||
0.429677 | + | 0.902982i | \(0.358627\pi\) | |||||||
\(864\) | 4.11971 | + | 3.16670i | 0.140155 | + | 0.107733i | ||||
\(865\) | −27.2377 | − | 15.0077i | −0.926110 | − | 0.510276i | ||||
\(866\) | −15.3505 | −0.521631 | ||||||||
\(867\) | −10.4206 | + | 11.3656i | −0.353901 | + | 0.385996i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 20.2021i | − | 0.685309i | ||||||
\(870\) | 34.5168 | − | 11.6360i | 1.17023 | − | 0.394499i | ||||
\(871\) | 5.67044i | 0.192136i | ||||||||
\(872\) | 4.93955 | 0.167274 | ||||||||
\(873\) | 0.495013 | + | 5.69501i | 0.0167536 | + | 0.192747i | ||||
\(874\) | 14.9841i | 0.506846i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 14.9813 | − | 16.3400i | 0.506173 | − | 0.552078i | ||||
\(877\) | 26.2898i | 0.887744i | 0.896090 | + | 0.443872i | \(0.146396\pi\) | ||||
−0.896090 | + | 0.443872i | \(0.853604\pi\) | |||||||
\(878\) | − | 3.55667i | − | 0.120032i | ||||||
\(879\) | −12.6120 | − | 11.5633i | −0.425393 | − | 0.390022i | ||||
\(880\) | 11.7824 | + | 6.49194i | 0.397184 | + | 0.218843i | ||||
\(881\) | −31.9677 | −1.07702 | −0.538510 | − | 0.842619i | \(-0.681012\pi\) | ||||
−0.538510 | + | 0.842619i | \(0.681012\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 6.92050i | − | 0.232893i | −0.993197 | − | 0.116447i | \(-0.962850\pi\) | ||
0.993197 | − | 0.116447i | \(-0.0371504\pi\) | |||||||
\(884\) | 2.45959i | 0.0827249i | ||||||||
\(885\) | 8.77754 | + | 26.0374i | 0.295054 | + | 0.875238i | ||||
\(886\) | 9.38403 | 0.315263 | ||||||||
\(887\) | − | 37.6658i | − | 1.26469i | −0.774685 | − | 0.632347i | \(-0.782092\pi\) | ||
0.774685 | − | 0.632347i | \(-0.217908\pi\) | |||||||
\(888\) | 8.70388 | + | 7.98015i | 0.292083 | + | 0.267796i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 3.33007 | − | 6.04382i | 0.111624 | − | 0.202589i | ||||
\(891\) | 9.34207 | + | 53.3332i | 0.312971 | + | 1.78673i | ||||
\(892\) | 0.973096 | 0.0325817 | ||||||||
\(893\) | 22.2763 | 0.745449 | ||||||||
\(894\) | −10.6981 | − | 9.80851i | −0.357796 | − | 0.328046i | ||||
\(895\) | 38.5976 | + | 21.2668i | 1.29017 | + | 0.710871i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2.12791 | + | 2.32089i | −0.0710487 | + | 0.0774922i | ||||
\(898\) | 0.400479i | 0.0133642i | ||||||||
\(899\) | 25.2429 | 0.841896 | ||||||||
\(900\) | −11.9386 | + | 9.08133i | −0.397952 | + | 0.302711i | ||||
\(901\) | − | 34.0746i | − | 1.13519i | ||||||
\(902\) | − | 32.0259i | − | 1.06635i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −11.3769 | −0.378391 | ||||||||
\(905\) | −11.7985 | − | 6.50081i | −0.392194 | − | 0.216094i | ||||
\(906\) | −9.45750 | + | 10.3152i | −0.314205 | + | 0.342700i | ||||
\(907\) | − | 47.2413i | − | 1.56862i | −0.620367 | − | 0.784312i | \(-0.713016\pi\) | ||
0.620367 | − | 0.784312i | \(-0.286984\pi\) | |||||||
\(908\) | 23.8398i | 0.791153i | ||||||||
\(909\) | 1.82401 | + | 20.9849i | 0.0604987 | + | 0.696024i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 37.3306i | − | 1.23682i | −0.785856 | − | 0.618409i | \(-0.787777\pi\) | ||
0.785856 | − | 0.618409i | \(-0.212223\pi\) | |||||||
\(912\) | 9.09545 | + | 8.33916i | 0.301180 | + | 0.276137i | ||||
\(913\) | 7.70188 | 0.254895 | ||||||||
\(914\) | 34.3815i | 1.13724i | ||||||||
\(915\) | −34.2663 | + | 11.5516i | −1.13281 | + | 0.381884i | ||||
\(916\) | − | 19.7831i | − | 0.653650i | ||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 9.01119 | − | 11.7231i | 0.297414 | − | 0.386919i | ||||
\(919\) | 17.6980 | 0.583802 | 0.291901 | − | 0.956449i | \(-0.405712\pi\) | ||||
0.291901 | + | 0.956449i | \(0.405712\pi\) | |||||||
\(920\) | 2.26957 | − | 4.11910i | 0.0748256 | − | 0.135803i | ||||
\(921\) | 3.46007 | − | 3.77387i | 0.114013 | − | 0.124353i | ||||
\(922\) | 33.8119 | 1.11354 | ||||||||
\(923\) | 3.85984i | 0.127048i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −28.8161 | + | 18.2108i | −0.947468 | + | 0.598768i | ||||
\(926\) | − | 0.505232i | − | 0.0166030i | ||||||
\(927\) | −2.47198 | − | 28.4396i | −0.0811906 | − | 0.934080i | ||||
\(928\) | 9.40499i | 0.308734i | ||||||||
\(929\) | 60.2744 | 1.97754 | 0.988770 | − | 0.149443i | \(-0.0477482\pi\) | ||||
0.988770 | + | 0.149443i | \(0.0477482\pi\) | |||||||
\(930\) | −9.85037 | + | 3.32068i | −0.323006 | + | 0.108889i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 1.78655 | 0.0585205 | ||||||||
\(933\) | −10.0584 | + | 10.9706i | −0.329298 | + | 0.359163i | ||||
\(934\) | − | 24.8661i | − | 0.813644i | ||||||
\(935\) | 18.4735 | − | 33.5280i | 0.604148 | − | 1.09648i | ||||
\(936\) | 0.224541 | + | 2.58330i | 0.00733936 | + | 0.0844377i | ||||
\(937\) | 27.4478 | 0.896680 | 0.448340 | − | 0.893863i | \(-0.352015\pi\) | ||||
0.448340 | + | 0.893863i | \(0.352015\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 23.2399 | − | 25.3476i | 0.758406 | − | 0.827187i | ||||
\(940\) | −6.12370 | − | 3.37408i | −0.199733 | − | 0.110051i | ||||
\(941\) | 23.2585 | 0.758205 | 0.379103 | − | 0.925355i | \(-0.376233\pi\) | ||||
0.379103 | + | 0.925355i | \(0.376233\pi\) | |||||||
\(942\) | 5.22433 | − | 5.69812i | 0.170218 | − | 0.185655i | ||||
\(943\) | −11.1962 | −0.364598 | ||||||||
\(944\) | −7.09456 | −0.230908 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 16.1827 | 0.526146 | ||||||||
\(947\) | −5.12103 | −0.166411 | −0.0832056 | − | 0.996532i | \(-0.526516\pi\) | ||||
−0.0832056 | + | 0.996532i | \(0.526516\pi\) | |||||||
\(948\) | −3.93058 | + | 4.28704i | −0.127659 | + | 0.139237i | ||||
\(949\) | 11.0627 | 0.359110 | ||||||||
\(950\) | −30.1125 | + | 19.0301i | −0.976978 | + | 0.617418i | ||||
\(951\) | 34.1801 | − | 37.2799i | 1.10836 | − | 1.20888i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −7.47194 | −0.242040 | −0.121020 | − | 0.992650i | \(-0.538616\pi\) | ||||
−0.121020 | + | 0.992650i | \(0.538616\pi\) | |||||||
\(954\) | −3.11074 | − | 35.7884i | −0.100714 | − | 1.15869i | ||||
\(955\) | −3.55986 | − | 1.96144i | −0.115194 | − | 0.0634706i | ||||
\(956\) | 17.2961i | 0.559396i | ||||||||
\(957\) | −66.2298 | + | 72.2363i | −2.14091 | + | 2.33507i | ||||
\(958\) | 1.48138 | 0.0478612 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −1.23722 | − | 3.67005i | −0.0399311 | − | 0.118450i | ||||
\(961\) | 23.7962 | 0.767620 | ||||||||
\(962\) | 5.89279i | 0.189991i | ||||||||
\(963\) | −2.40006 | − | 27.6122i | −0.0773410 | − | 0.889791i | ||||
\(964\) | − | 8.26145i | − | 0.266083i | ||||||
\(965\) | −1.20082 | − | 0.661639i | −0.0386558 | − | 0.0212989i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 13.0565i | 0.419869i | 0.977716 | + | 0.209934i | \(0.0673250\pi\) | ||||
−0.977716 | + | 0.209934i | \(0.932675\pi\) | |||||||
\(968\) | −25.1939 | −0.809762 | ||||||||
\(969\) | 23.7300 | − | 25.8821i | 0.762317 | − | 0.831452i | ||||
\(970\) | 2.05620 | − | 3.73184i | 0.0660205 | − | 0.119822i | ||||
\(971\) | −22.5183 | −0.722648 | −0.361324 | − | 0.932440i | \(-0.617675\pi\) | ||||
−0.361324 | + | 0.932440i | \(0.617675\pi\) | |||||||
\(972\) | 8.39420 | − | 13.1353i | 0.269244 | − | 0.421317i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | − | 7.86665i | − | 0.252064i | ||||||
\(975\) | −7.36658 | − | 1.32873i | −0.235919 | − | 0.0425533i | ||||
\(976\) | − | 9.33672i | − | 0.298861i | ||||||
\(977\) | −3.50864 | −0.112251 | −0.0561257 | − | 0.998424i | \(-0.517875\pi\) | ||||
−0.0561257 | + | 0.998424i | \(0.517875\pi\) | |||||||
\(978\) | −27.7133 | − | 25.4090i | −0.886175 | − | 0.812489i | ||||
\(979\) | 18.5658i | 0.593366i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.28321 | − | 14.7630i | −0.0409696 | − | 0.471346i | ||||
\(982\) | − | 16.0379i | − | 0.511788i | ||||||
\(983\) | 32.5656i | 1.03868i | 0.854567 | + | 0.519341i | \(0.173823\pi\) | ||||
−0.854567 | + | 0.519341i | \(0.826177\pi\) | |||||||
\(984\) | −6.23105 | + | 6.79615i | −0.198639 | + | 0.216653i | ||||
\(985\) | −13.5049 | + | 24.5103i | −0.430302 | + | 0.780964i | ||||
\(986\) | 26.7629 | 0.852304 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.15790i | 0.195909i | ||||||||
\(989\) | − | 5.65746i | − | 0.179897i | ||||||
\(990\) | 16.3418 | − | 36.9008i | 0.519377 | − | 1.17278i | ||||
\(991\) | 5.17862 | 0.164504 | 0.0822521 | − | 0.996612i | \(-0.473789\pi\) | ||||
0.0822521 | + | 0.996612i | \(0.473789\pi\) | |||||||
\(992\) | − | 2.68399i | − | 0.0852166i | ||||||
\(993\) | 10.5234 | − | 11.4778i | 0.333951 | − | 0.364237i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 21.1010 | + | 11.6264i | 0.668946 | + | 0.368581i | ||||
\(996\) | −1.63440 | − | 1.49850i | −0.0517879 | − | 0.0474818i | ||||
\(997\) | 40.7003 | 1.28899 | 0.644496 | − | 0.764607i | \(-0.277067\pi\) | ||||
0.644496 | + | 0.764607i | \(0.277067\pi\) | |||||||
\(998\) | 8.37964 | 0.265253 | ||||||||
\(999\) | 21.5894 | − | 28.0866i | 0.683059 | − | 0.888622i |
(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 | 1470.2.d.h.1469.8 | yes | 24 | |
3.2 | odd | 2 | 1470.2.d.g.1469.7 | ✓ | 24 | ||
5.4 | even | 2 | 1470.2.d.g.1469.17 | yes | 24 | ||
7.6 | odd | 2 | inner | 1470.2.d.h.1469.17 | yes | 24 | |
15.14 | odd | 2 | inner | 1470.2.d.h.1469.18 | yes | 24 | |
21.20 | even | 2 | 1470.2.d.g.1469.18 | yes | 24 | ||
35.34 | odd | 2 | 1470.2.d.g.1469.8 | yes | 24 | ||
105.104 | even | 2 | inner | 1470.2.d.h.1469.7 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1470.2.d.g.1469.7 | ✓ | 24 | 3.2 | odd | 2 | ||
1470.2.d.g.1469.8 | yes | 24 | 35.34 | odd | 2 | ||
1470.2.d.g.1469.17 | yes | 24 | 5.4 | even | 2 | ||
1470.2.d.g.1469.18 | yes | 24 | 21.20 | even | 2 | ||
1470.2.d.h.1469.7 | yes | 24 | 105.104 | even | 2 | inner | |
1470.2.d.h.1469.8 | yes | 24 | 1.1 | even | 1 | trivial | |
1470.2.d.h.1469.17 | yes | 24 | 7.6 | odd | 2 | inner | |
1470.2.d.h.1469.18 | yes | 24 | 15.14 | odd | 2 | inner |