Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,4,Mod(19,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.19");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.e (of order \(9\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.55830942093\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | no (minimal twist has level 54) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 73.5 | ||
Character | \(\chi\) | \(=\) | 162.73 |
Dual form | 162.4.e.b.91.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.347296 | − | 1.96962i | 0.122788 | − | 0.696364i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −3.75877 | − | 1.36808i | −0.469846 | − | 0.171010i | ||||
\(5\) | 14.9069 | − | 12.5084i | 1.33331 | − | 1.11878i | 0.350022 | − | 0.936741i | \(-0.386174\pi\) |
0.983291 | − | 0.182041i | \(-0.0582705\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 11.7781 | − | 4.28689i | 0.635959 | − | 0.231470i | −0.00386374 | − | 0.999993i | \(-0.501230\pi\) |
0.639823 | + | 0.768522i | \(0.279008\pi\) | |||||||
\(8\) | −4.00000 | + | 6.92820i | −0.176777 | + | 0.306186i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −19.4596 | − | 33.7050i | −0.615366 | − | 1.06584i | ||||
\(11\) | 9.63062 | + | 8.08105i | 0.263976 | + | 0.221503i | 0.765163 | − | 0.643837i | \(-0.222658\pi\) |
−0.501186 | + | 0.865339i | \(0.667103\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 6.96648 | + | 39.5088i | 0.148627 | + | 0.842906i | 0.964383 | + | 0.264510i | \(0.0852102\pi\) |
−0.815756 | + | 0.578396i | \(0.803679\pi\) | |||||||
\(14\) | −4.35302 | − | 24.6872i | −0.0830996 | − | 0.471281i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 12.2567 | + | 10.2846i | 0.191511 | + | 0.160697i | ||||
\(17\) | −24.5383 | − | 42.5016i | −0.350083 | − | 0.606362i | 0.636181 | − | 0.771540i | \(-0.280513\pi\) |
−0.986264 | + | 0.165178i | \(0.947180\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 67.8741 | − | 117.561i | 0.819546 | − | 1.41950i | −0.0864706 | − | 0.996254i | \(-0.527559\pi\) |
0.906017 | − | 0.423241i | \(-0.139108\pi\) | |||||||
\(20\) | −73.1441 | + | 26.6223i | −0.817775 | + | 0.297646i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 19.2612 | − | 16.1621i | 0.186660 | − | 0.156626i | ||||
\(23\) | −162.928 | − | 59.3010i | −1.47708 | − | 0.537614i | −0.527068 | − | 0.849823i | \(-0.676709\pi\) |
−0.950013 | + | 0.312209i | \(0.898931\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 44.0502 | − | 249.821i | 0.352401 | − | 1.99857i | ||||
\(26\) | 80.2367 | 0.605219 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −50.1361 | −0.338387 | ||||||||
\(29\) | −7.51379 | + | 42.6128i | −0.0481130 | + | 0.272862i | −0.999368 | − | 0.0355426i | \(-0.988684\pi\) |
0.951255 | + | 0.308405i | \(0.0997952\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −18.2216 | − | 6.63213i | −0.105571 | − | 0.0384247i | 0.288695 | − | 0.957421i | \(-0.406779\pi\) |
−0.394266 | + | 0.918997i | \(0.629001\pi\) | |||||||
\(32\) | 24.5134 | − | 20.5692i | 0.135419 | − | 0.113630i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −92.2339 | + | 33.5704i | −0.465235 | + | 0.169332i | ||||
\(35\) | 121.953 | − | 211.229i | 0.588968 | − | 1.02012i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 124.441 | + | 215.538i | 0.552919 | + | 0.957684i | 0.998062 | + | 0.0622244i | \(0.0198195\pi\) |
−0.445143 | + | 0.895459i | \(0.646847\pi\) | |||||||
\(38\) | −207.978 | − | 174.514i | −0.887856 | − | 0.745000i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 27.0330 | + | 153.311i | 0.106857 | + | 0.606017i | ||||
\(41\) | 68.5925 | + | 389.008i | 0.261277 | + | 1.48177i | 0.779431 | + | 0.626488i | \(0.215508\pi\) |
−0.518154 | + | 0.855287i | \(0.673381\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −164.521 | − | 138.049i | −0.583469 | − | 0.489589i | 0.302615 | − | 0.953113i | \(-0.402140\pi\) |
−0.886084 | + | 0.463524i | \(0.846585\pi\) | |||||||
\(44\) | −25.1438 | − | 43.5503i | −0.0861492 | − | 0.149215i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −173.385 | + | 300.311i | −0.555742 | + | 0.962574i | ||||
\(47\) | −267.360 | + | 97.3112i | −0.829756 | + | 0.302006i | −0.721759 | − | 0.692145i | \(-0.756666\pi\) |
−0.107997 | + | 0.994151i | \(0.534444\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −142.406 | + | 119.493i | −0.415179 | + | 0.348376i | ||||
\(50\) | −476.753 | − | 173.524i | −1.34846 | − | 0.490800i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 27.8659 | − | 158.035i | 0.0743136 | − | 0.421453i | ||||
\(53\) | 695.130 | 1.80157 | 0.900787 | − | 0.434262i | \(-0.142991\pi\) | ||||
0.900787 | + | 0.434262i | \(0.142991\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 244.643 | 0.599777 | ||||||||
\(56\) | −17.4121 | + | 98.7488i | −0.0415498 | + | 0.235641i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 81.3214 | + | 29.5986i | 0.184104 | + | 0.0670083i | ||||
\(59\) | 320.887 | − | 269.256i | 0.708066 | − | 0.594138i | −0.215990 | − | 0.976396i | \(-0.569298\pi\) |
0.924056 | + | 0.382258i | \(0.124853\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 78.1126 | − | 28.4307i | 0.163956 | − | 0.0596750i | −0.258738 | − | 0.965947i | \(-0.583307\pi\) |
0.422694 | + | 0.906272i | \(0.361085\pi\) | |||||||
\(62\) | −19.3911 | + | 33.5863i | −0.0397204 | + | 0.0687978i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −32.0000 | − | 55.4256i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 598.040 | + | 501.815i | 1.14120 | + | 0.957577i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 104.917 | + | 595.014i | 0.191308 | + | 1.08496i | 0.917579 | + | 0.397554i | \(0.130141\pi\) |
−0.726270 | + | 0.687409i | \(0.758748\pi\) | |||||||
\(68\) | 34.0883 | + | 193.324i | 0.0607913 | + | 0.344765i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −373.687 | − | 313.560i | −0.638059 | − | 0.535395i | ||||
\(71\) | −25.4078 | − | 44.0076i | −0.0424697 | − | 0.0735597i | 0.844009 | − | 0.536329i | \(-0.180189\pi\) |
−0.886479 | + | 0.462769i | \(0.846856\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 444.921 | − | 770.626i | 0.713343 | − | 1.23555i | −0.250252 | − | 0.968181i | \(-0.580513\pi\) |
0.963595 | − | 0.267366i | \(-0.0861533\pi\) | |||||||
\(74\) | 467.746 | − | 170.246i | 0.734789 | − | 0.267441i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −415.956 | + | 349.029i | −0.627809 | + | 0.526794i | ||||
\(77\) | 148.073 | + | 53.8943i | 0.219150 | + | 0.0797639i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −29.3386 | + | 166.388i | −0.0417830 | + | 0.236963i | −0.998546 | − | 0.0539054i | \(-0.982833\pi\) |
0.956763 | + | 0.290868i | \(0.0939442\pi\) | |||||||
\(80\) | 311.353 | 0.435129 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 790.017 | 1.06394 | ||||||||
\(83\) | −257.027 | + | 1457.67i | −0.339909 | + | 1.92772i | 0.0320928 | + | 0.999485i | \(0.489783\pi\) |
−0.372001 | + | 0.928232i | \(0.621328\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −897.416 | − | 326.633i | −1.14516 | − | 0.416803i | ||||
\(86\) | −329.041 | + | 276.099i | −0.412575 | + | 0.346192i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −94.5096 | + | 34.3987i | −0.114486 | + | 0.0416695i | ||||
\(89\) | −401.246 | + | 694.978i | −0.477887 | + | 0.827725i | −0.999679 | − | 0.0253482i | \(-0.991931\pi\) |
0.521792 | + | 0.853073i | \(0.325264\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 251.422 | + | 435.476i | 0.289629 | + | 0.501651i | ||||
\(92\) | 531.281 | + | 445.798i | 0.602064 | + | 0.505192i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 98.8124 | + | 560.393i | 0.108423 | + | 0.614895i | ||||
\(95\) | −458.709 | − | 2601.47i | −0.495395 | − | 2.80953i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1141.18 | + | 957.566i | 1.19453 | + | 1.00233i | 0.999769 | + | 0.0214809i | \(0.00683810\pi\) |
0.194763 | + | 0.980850i | \(0.437606\pi\) | |||||||
\(98\) | 185.898 | + | 321.985i | 0.191618 | + | 0.331892i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −507.350 | + | 878.756i | −0.507350 | + | 0.878756i | ||||
\(101\) | −388.444 | + | 141.382i | −0.382689 | + | 0.139287i | −0.526199 | − | 0.850361i | \(-0.676383\pi\) |
0.143510 | + | 0.989649i | \(0.454161\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −501.504 | + | 420.812i | −0.479754 | + | 0.402561i | −0.850338 | − | 0.526238i | \(-0.823602\pi\) |
0.370583 | + | 0.928799i | \(0.379158\pi\) | |||||||
\(104\) | −301.591 | − | 109.770i | −0.284360 | − | 0.103499i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 241.416 | − | 1369.14i | 0.221211 | − | 1.25455i | ||||
\(107\) | 403.828 | 0.364856 | 0.182428 | − | 0.983219i | \(-0.441604\pi\) | ||||
0.182428 | + | 0.983219i | \(0.441604\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 611.461 | 0.537315 | 0.268657 | − | 0.963236i | \(-0.413420\pi\) | ||||
0.268657 | + | 0.963236i | \(0.413420\pi\) | |||||||
\(110\) | 84.9638 | − | 481.854i | 0.0736453 | − | 0.417663i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 188.450 | + | 68.5902i | 0.158990 | + | 0.0578676i | ||||
\(113\) | −351.359 | + | 294.825i | −0.292505 | + | 0.245441i | −0.777217 | − | 0.629233i | \(-0.783369\pi\) |
0.484711 | + | 0.874674i | \(0.338925\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3170.51 | + | 1153.97i | −2.57089 | + | 0.935726i | ||||
\(116\) | 86.5404 | − | 149.892i | 0.0692679 | − | 0.119976i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −418.888 | − | 725.535i | −0.326795 | − | 0.566025i | ||||
\(119\) | −471.215 | − | 395.396i | −0.362993 | − | 0.304588i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −203.680 | − | 1155.13i | −0.153028 | − | 0.867865i | ||||
\(122\) | −28.8693 | − | 163.726i | −0.0214238 | − | 0.121500i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 59.4177 | + | 49.8573i | 0.0430311 | + | 0.0361074i | ||||
\(125\) | −1251.98 | − | 2168.49i | −0.895844 | − | 1.55165i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 560.448 | − | 970.724i | 0.391588 | − | 0.678250i | −0.601071 | − | 0.799196i | \(-0.705259\pi\) |
0.992659 | + | 0.120945i | \(0.0385925\pi\) | |||||||
\(128\) | −120.281 | + | 43.7786i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1196.08 | − | 1003.63i | 0.806947 | − | 0.677109i | ||||
\(131\) | 487.069 | + | 177.279i | 0.324851 | + | 0.118236i | 0.499298 | − | 0.866431i | \(-0.333591\pi\) |
−0.174447 | + | 0.984667i | \(0.555814\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 295.457 | − | 1675.62i | 0.192627 | − | 1.09244i | ||||
\(134\) | 1208.39 | 0.779020 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 392.613 | 0.247546 | ||||||||
\(137\) | 92.8002 | − | 526.296i | 0.0578720 | − | 0.328208i | −0.942103 | − | 0.335324i | \(-0.891154\pi\) |
0.999975 | + | 0.00711622i | \(0.00226518\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 344.110 | + | 125.246i | 0.209979 | + | 0.0764260i | 0.444868 | − | 0.895596i | \(-0.353251\pi\) |
−0.234889 | + | 0.972022i | \(0.575473\pi\) | |||||||
\(140\) | −747.374 | + | 627.121i | −0.451176 | + | 0.378581i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −95.5020 | + | 34.7599i | −0.0564391 | + | 0.0205421i | ||||
\(143\) | −252.181 | + | 436.791i | −0.147472 | + | 0.255429i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 421.010 | + | 729.211i | 0.241124 | + | 0.417639i | ||||
\(146\) | −1363.32 | − | 1143.96i | −0.772801 | − | 0.648457i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −172.872 | − | 980.405i | −0.0960134 | − | 0.544519i | ||||
\(149\) | 82.0854 | + | 465.529i | 0.0451322 | + | 0.255957i | 0.999023 | − | 0.0441970i | \(-0.0140729\pi\) |
−0.953891 | + | 0.300154i | \(0.902962\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 582.736 | + | 488.974i | 0.314056 | + | 0.263524i | 0.786166 | − | 0.618016i | \(-0.212063\pi\) |
−0.472110 | + | 0.881540i | \(0.656508\pi\) | |||||||
\(152\) | 542.993 | + | 940.491i | 0.289753 | + | 0.501868i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 157.576 | − | 272.930i | 0.0824536 | − | 0.142814i | ||||
\(155\) | −354.585 | + | 129.058i | −0.183748 | + | 0.0668789i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −102.489 | + | 85.9981i | −0.0520986 | + | 0.0437159i | −0.668465 | − | 0.743743i | \(-0.733048\pi\) |
0.616367 | + | 0.787459i | \(0.288604\pi\) | |||||||
\(158\) | 317.530 | + | 115.572i | 0.159882 | + | 0.0581923i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 108.132 | − | 613.246i | 0.0534286 | − | 0.303008i | ||||
\(161\) | −2173.21 | −1.06381 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −907.179 | −0.435925 | −0.217962 | − | 0.975957i | \(-0.569941\pi\) | ||||
−0.217962 | + | 0.975957i | \(0.569941\pi\) | |||||||
\(164\) | 274.370 | − | 1556.03i | 0.130638 | − | 0.740887i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2781.79 | + | 1012.49i | 1.30066 | + | 0.473400i | ||||
\(167\) | −1447.22 | + | 1214.36i | −0.670595 | + | 0.562696i | −0.913242 | − | 0.407419i | \(-0.866429\pi\) |
0.242646 | + | 0.970115i | \(0.421985\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 552.088 | − | 200.943i | 0.251292 | − | 0.0914627i | ||||
\(170\) | −955.010 | + | 1654.13i | −0.430858 | + | 0.746268i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 429.533 | + | 743.973i | 0.190416 | + | 0.329811i | ||||
\(173\) | 426.505 | + | 357.880i | 0.187437 | + | 0.157278i | 0.731677 | − | 0.681651i | \(-0.238738\pi\) |
−0.544241 | + | 0.838929i | \(0.683182\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −552.126 | − | 3131.26i | −0.238496 | − | 1.35258i | ||||
\(176\) | 34.9294 | + | 198.094i | 0.0149597 | + | 0.0848404i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1229.49 | + | 1031.66i | 0.517719 | + | 0.434418i | ||||
\(179\) | −1048.50 | − | 1816.06i | −0.437814 | − | 0.758316i | 0.559707 | − | 0.828691i | \(-0.310914\pi\) |
−0.997521 | + | 0.0703748i | \(0.977580\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −138.831 | + | 240.463i | −0.0570124 | + | 0.0987484i | −0.893123 | − | 0.449813i | \(-0.851491\pi\) |
0.836111 | + | 0.548561i | \(0.184824\pi\) | |||||||
\(182\) | 945.038 | − | 343.966i | 0.384895 | − | 0.140090i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1062.56 | − | 891.595i | 0.425723 | − | 0.357224i | ||||
\(185\) | 4551.07 | + | 1656.45i | 1.80865 | + | 0.658296i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 107.138 | − | 607.612i | 0.0418970 | − | 0.237610i | ||||
\(188\) | 1138.08 | 0.441504 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5283.20 | −2.01728 | ||||||||
\(191\) | 250.820 | − | 1422.47i | 0.0950195 | − | 0.538882i | −0.899722 | − | 0.436464i | \(-0.856231\pi\) |
0.994741 | − | 0.102419i | \(-0.0326582\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2350.57 | − | 855.537i | −0.876671 | − | 0.319082i | −0.135806 | − | 0.990735i | \(-0.543362\pi\) |
−0.740866 | + | 0.671653i | \(0.765585\pi\) | |||||||
\(194\) | 2282.37 | − | 1915.13i | 0.844662 | − | 0.708755i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 698.749 | − | 254.324i | 0.254646 | − | 0.0926836i | ||||
\(197\) | 538.794 | − | 933.218i | 0.194860 | − | 0.337508i | −0.751994 | − | 0.659169i | \(-0.770908\pi\) |
0.946855 | + | 0.321662i | \(0.104241\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1890.89 | − | 3275.12i | −0.673577 | − | 1.16667i | −0.976883 | − | 0.213776i | \(-0.931424\pi\) |
0.303306 | − | 0.952893i | \(-0.401909\pi\) | |||||||
\(200\) | 1554.61 | + | 1304.47i | 0.549638 | + | 0.461201i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 143.563 | + | 814.186i | 0.0500052 | + | 0.283594i | ||||
\(203\) | 94.1781 | + | 534.110i | 0.0325616 | + | 0.184666i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5888.35 | + | 4940.91i | 2.00615 | + | 1.68336i | ||||
\(206\) | 654.667 | + | 1133.92i | 0.221421 | + | 0.383513i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −320.947 | + | 555.896i | −0.106989 | + | 0.185310i | ||||
\(209\) | 1603.69 | − | 583.695i | 0.530763 | − | 0.193182i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2722.62 | + | 2284.55i | −0.888308 | + | 0.745379i | −0.967870 | − | 0.251451i | \(-0.919092\pi\) |
0.0795624 | + | 0.996830i | \(0.474648\pi\) | |||||||
\(212\) | −2612.83 | − | 950.993i | −0.846463 | − | 0.308087i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 140.248 | − | 795.386i | 0.0447998 | − | 0.254072i | ||||
\(215\) | −4179.27 | −1.32569 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −243.048 | −0.0760331 | ||||||||
\(218\) | 212.358 | − | 1204.34i | 0.0659757 | − | 0.374167i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −919.559 | − | 334.692i | −0.281803 | − | 0.102568i | ||||
\(221\) | 1508.24 | − | 1265.57i | 0.459074 | − | 0.385209i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1852.55 | + | 674.273i | −0.556305 | + | 0.202478i | −0.604845 | − | 0.796343i | \(-0.706765\pi\) |
0.0485408 | + | 0.998821i | \(0.484543\pi\) | |||||||
\(224\) | 200.544 | − | 347.353i | 0.0598189 | − | 0.103609i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 458.667 | + | 794.434i | 0.135000 | + | 0.233827i | ||||
\(227\) | −1475.96 | − | 1238.48i | −0.431555 | − | 0.362118i | 0.400983 | − | 0.916086i | \(-0.368669\pi\) |
−0.832538 | + | 0.553968i | \(0.813113\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1123.91 | + | 6374.01i | 0.324323 | + | 1.83933i | 0.514388 | + | 0.857557i | \(0.328019\pi\) |
−0.190065 | + | 0.981772i | \(0.560870\pi\) | |||||||
\(230\) | 1171.77 | + | 6645.46i | 0.335933 | + | 1.90517i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −265.175 | − | 222.508i | −0.0750414 | − | 0.0629672i | ||||
\(233\) | 1709.54 | + | 2961.01i | 0.480668 | + | 0.832542i | 0.999754 | − | 0.0221805i | \(-0.00706086\pi\) |
−0.519086 | + | 0.854722i | \(0.673728\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2768.31 | + | 4794.85i | −0.768445 | + | 1.33099i | ||||
\(236\) | −1574.50 | + | 573.072i | −0.434286 | + | 0.158067i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −942.430 | + | 790.793i | −0.256675 | + | 0.215376i | ||||
\(239\) | 1160.72 | + | 422.466i | 0.314144 | + | 0.114339i | 0.494280 | − | 0.869303i | \(-0.335432\pi\) |
−0.180136 | + | 0.983642i | \(0.557654\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −504.392 | + | 2860.55i | −0.134816 | + | 0.764581i | 0.840171 | + | 0.542321i | \(0.182454\pi\) |
−0.974987 | + | 0.222260i | \(0.928657\pi\) | |||||||
\(242\) | −2345.90 | −0.623140 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −332.503 | −0.0872390 | ||||||||
\(245\) | −628.172 | + | 3562.54i | −0.163806 | + | 0.928990i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5117.56 | + | 1862.64i | 1.31831 | + | 0.479825i | ||||
\(248\) | 118.835 | − | 99.7147i | 0.0304276 | − | 0.0255318i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4705.90 | + | 1712.81i | −1.19051 | + | 0.433310i | ||||
\(251\) | −1023.72 | + | 1773.14i | −0.257438 | + | 0.445895i | −0.965555 | − | 0.260200i | \(-0.916211\pi\) |
0.708117 | + | 0.706095i | \(0.249545\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1089.88 | − | 1887.74i | −0.270832 | − | 0.469095i | ||||
\(254\) | −1717.31 | − | 1441.00i | −0.424227 | − | 0.355969i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 44.4539 | + | 252.111i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 1055.49 | + | 5986.00i | 0.256186 | + | 1.45290i | 0.793009 | + | 0.609210i | \(0.208513\pi\) |
−0.536823 | + | 0.843695i | \(0.680376\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2389.67 | + | 2005.17i | 0.573309 | + | 0.481064i | ||||
\(260\) | −1561.37 | − | 2704.37i | −0.372431 | − | 0.645070i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 518.328 | − | 897.771i | 0.122223 | − | 0.211697i | ||||
\(263\) | 1749.34 | − | 636.706i | 0.410147 | − | 0.149281i | −0.128703 | − | 0.991683i | \(-0.541081\pi\) |
0.538850 | + | 0.842402i | \(0.318859\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 10362.2 | − | 8694.94i | 2.40206 | − | 2.01557i | ||||
\(266\) | −3197.72 | − | 1163.87i | −0.737085 | − | 0.268277i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 419.668 | − | 2380.06i | 0.0956541 | − | 0.542482i | ||||
\(269\) | 6473.01 | 1.46716 | 0.733580 | − | 0.679603i | \(-0.237848\pi\) | ||||
0.733580 | + | 0.679603i | \(0.237848\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2770.56 | −0.621032 | −0.310516 | − | 0.950568i | \(-0.600502\pi\) | ||||
−0.310516 | + | 0.950568i | \(0.600502\pi\) | |||||||
\(272\) | 136.353 | − | 773.296i | 0.0303957 | − | 0.172382i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1004.37 | − | 365.562i | −0.221446 | − | 0.0805999i | ||||
\(275\) | 2443.05 | − | 2049.96i | 0.535714 | − | 0.449517i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4974.34 | + | 1810.51i | −1.07899 | + | 0.392719i | −0.819530 | − | 0.573036i | \(-0.805765\pi\) |
−0.259456 | + | 0.965755i | \(0.583543\pi\) | |||||||
\(278\) | 366.194 | − | 634.267i | 0.0790031 | − | 0.136837i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 975.627 | + | 1689.84i | 0.208232 | + | 0.360668i | ||||
\(281\) | −3448.49 | − | 2893.63i | −0.732098 | − | 0.614303i | 0.198605 | − | 0.980080i | \(-0.436359\pi\) |
−0.930703 | + | 0.365776i | \(0.880803\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1580.95 | − | 8966.03i | −0.332077 | − | 1.88330i | −0.454374 | − | 0.890811i | \(-0.650137\pi\) |
0.122297 | − | 0.992494i | \(-0.460974\pi\) | |||||||
\(284\) | 35.2961 | + | 200.174i | 0.00737479 | + | 0.0418245i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 772.729 | + | 648.396i | 0.159764 | + | 0.134058i | ||||
\(287\) | 2475.52 | + | 4287.73i | 0.509148 | + | 0.881871i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1252.24 | − | 2168.95i | 0.254884 | − | 0.441471i | ||||
\(290\) | 1582.48 | − | 575.976i | 0.320436 | − | 0.116629i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2726.63 | + | 2287.92i | −0.546453 | + | 0.458528i | ||||
\(293\) | 1645.06 | + | 598.754i | 0.328005 | + | 0.119384i | 0.500774 | − | 0.865578i | \(-0.333049\pi\) |
−0.172768 | + | 0.984963i | \(0.555271\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1415.47 | − | 8027.54i | 0.279363 | − | 1.58434i | ||||
\(296\) | −1991.06 | −0.390973 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 945.422 | 0.183781 | ||||||||
\(299\) | 1207.88 | − | 6850.22i | 0.233624 | − | 1.32495i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2529.55 | − | 920.681i | −0.484388 | − | 0.176303i | ||||
\(302\) | 1165.47 | − | 977.948i | 0.222071 | − | 0.186340i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2040.98 | − | 742.858i | 0.385061 | − | 0.140151i | ||||
\(305\) | 808.795 | − | 1400.87i | 0.151841 | − | 0.262996i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 395.713 | + | 685.395i | 0.0735652 | + | 0.127419i | 0.900461 | − | 0.434936i | \(-0.143229\pi\) |
−0.826896 | + | 0.562355i | \(0.809896\pi\) | |||||||
\(308\) | −482.842 | − | 405.152i | −0.0893262 | − | 0.0749536i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 131.049 | + | 743.218i | 0.0240100 | + | 0.136168i | ||||
\(311\) | −725.349 | − | 4113.66i | −0.132253 | − | 0.750046i | −0.976733 | − | 0.214458i | \(-0.931201\pi\) |
0.844480 | − | 0.535587i | \(-0.179910\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1032.97 | − | 866.763i | −0.186539 | − | 0.156525i | 0.544736 | − | 0.838608i | \(-0.316630\pi\) |
−0.731275 | + | 0.682083i | \(0.761074\pi\) | |||||||
\(314\) | 133.789 | + | 231.730i | 0.0240451 | + | 0.0416474i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 337.909 | − | 585.275i | 0.0601546 | − | 0.104191i | ||||
\(317\) | −4882.25 | + | 1776.99i | −0.865030 | + | 0.314845i | −0.736153 | − | 0.676815i | \(-0.763360\pi\) |
−0.128877 | + | 0.991661i | \(0.541137\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −416.719 | + | 349.669i | −0.0731404 | + | 0.0613721i | ||||
\(320\) | −1170.30 | − | 425.956i | −0.204444 | − | 0.0744115i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −754.747 | + | 4280.38i | −0.130622 | + | 0.740796i | ||||
\(323\) | −6662.06 | −1.14764 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 10177.0 | 1.73698 | ||||||||
\(326\) | −315.060 | + | 1786.79i | −0.0535263 | + | 0.303562i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2969.49 | − | 1080.81i | −0.499887 | − | 0.181944i | ||||
\(329\) | −2731.84 | + | 2292.29i | −0.457785 | + | 0.384128i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −336.280 | + | 122.396i | −0.0558417 | + | 0.0203247i | −0.369790 | − | 0.929115i | \(-0.620570\pi\) |
0.313948 | + | 0.949440i | \(0.398348\pi\) | |||||||
\(332\) | 2960.32 | − | 5127.43i | 0.489364 | − | 0.847603i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1889.21 | + | 3272.22i | 0.309501 | + | 0.536071i | ||||
\(335\) | 9006.64 | + | 7557.47i | 1.46891 | + | 1.23256i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 215.613 | + | 1222.80i | 0.0348523 | + | 0.197657i | 0.997262 | − | 0.0739431i | \(-0.0235583\pi\) |
−0.962410 | + | 0.271600i | \(0.912447\pi\) | |||||||
\(338\) | −204.043 | − | 1157.19i | −0.0328358 | − | 0.186221i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2926.32 | + | 2455.47i | 0.466771 | + | 0.391667i | ||||
\(341\) | −121.891 | − | 211.121i | −0.0193571 | − | 0.0335275i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3314.61 | + | 5741.08i | −0.521785 | + | 0.903758i | ||||
\(344\) | 1614.52 | − | 587.636i | 0.253049 | − | 0.0921024i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 853.010 | − | 715.760i | 0.132538 | − | 0.111212i | ||||
\(347\) | −6499.67 | − | 2365.69i | −1.00554 | − | 0.365985i | −0.213818 | − | 0.976873i | \(-0.568590\pi\) |
−0.791717 | + | 0.610889i | \(0.790812\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1406.21 | − | 7974.99i | 0.215680 | − | 1.22318i | −0.664042 | − | 0.747696i | \(-0.731160\pi\) |
0.879722 | − | 0.475488i | \(-0.157729\pi\) | |||||||
\(350\) | −6359.14 | −0.971172 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 402.300 | 0.0609167 | ||||||||
\(353\) | −78.4710 | + | 445.031i | −0.0118317 | + | 0.0671009i | −0.990152 | − | 0.139997i | \(-0.955291\pi\) |
0.978320 | + | 0.207098i | \(0.0664018\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −929.214 | − | 338.206i | −0.138923 | − | 0.0505637i | ||||
\(356\) | 2458.98 | − | 2063.33i | 0.366083 | − | 0.307180i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3941.08 | + | 1434.43i | −0.581822 | + | 0.211766i | ||||
\(359\) | 1390.92 | − | 2409.15i | 0.204485 | − | 0.354178i | −0.745484 | − | 0.666524i | \(-0.767781\pi\) |
0.949968 | + | 0.312346i | \(0.101115\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5784.28 | − | 10018.7i | −0.843312 | − | 1.46066i | ||||
\(362\) | 425.404 | + | 356.956i | 0.0617644 | + | 0.0518265i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −349.272 | − | 1980.82i | −0.0502935 | − | 0.285228i | ||||
\(365\) | −3006.88 | − | 17052.9i | −0.431198 | − | 2.44545i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1856.61 | + | 1557.88i | 0.264072 | + | 0.221583i | 0.765204 | − | 0.643788i | \(-0.222638\pi\) |
−0.501132 | + | 0.865371i | \(0.667083\pi\) | |||||||
\(368\) | −1387.08 | − | 2402.49i | −0.196485 | − | 0.340321i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 4843.14 | − | 8388.57i | 0.680495 | − | 1.17865i | ||||
\(371\) | 8187.33 | − | 2979.94i | 1.14573 | − | 0.417011i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −9923.42 | + | 8326.74i | −1.37752 | + | 1.15588i | −0.407402 | + | 0.913249i | \(0.633565\pi\) |
−0.970119 | + | 0.242628i | \(0.921990\pi\) | |||||||
\(374\) | −1159.55 | − | 422.043i | −0.160318 | − | 0.0583511i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 395.250 | − | 2241.57i | 0.0542113 | − | 0.307448i | ||||
\(377\) | −1735.93 | −0.237148 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5632.80 | 0.763423 | 0.381711 | − | 0.924282i | \(-0.375335\pi\) | ||||
0.381711 | + | 0.924282i | \(0.375335\pi\) | |||||||
\(380\) | −1834.84 | + | 10405.9i | −0.247698 | + | 1.40476i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2714.62 | − | 988.039i | −0.363591 | − | 0.132336i | ||||
\(383\) | −10225.1 | + | 8579.85i | −1.36417 | + | 1.14467i | −0.389498 | + | 0.921027i | \(0.627352\pi\) |
−0.974670 | + | 0.223646i | \(0.928204\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2881.44 | − | 1048.76i | 0.381434 | − | 0.138830i | ||||
\(386\) | −2501.42 | + | 4332.59i | −0.329842 | + | 0.571303i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2979.42 | − | 5160.50i | −0.389838 | − | 0.675219i | ||||
\(389\) | 1941.59 | + | 1629.18i | 0.253065 | + | 0.212347i | 0.760491 | − | 0.649349i | \(-0.224958\pi\) |
−0.507426 | + | 0.861696i | \(0.669403\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1477.59 | + | 8379.85i | 0.191113 | + | 1.08386i | ||||
\(392\) | −258.247 | − | 1464.59i | −0.0332741 | − | 0.188707i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1650.96 | − | 1385.32i | −0.211102 | − | 0.177136i | ||||
\(395\) | 1643.89 | + | 2847.30i | 0.209400 | + | 0.362692i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6531.29 | − | 11312.5i | 0.825683 | − | 1.43013i | −0.0757128 | − | 0.997130i | \(-0.524123\pi\) |
0.901396 | − | 0.432996i | \(-0.142543\pi\) | |||||||
\(398\) | −7107.43 | + | 2586.89i | −0.895133 | + | 0.325802i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3109.22 | − | 2608.95i | 0.388653 | − | 0.326118i | ||||
\(401\) | 5401.76 | + | 1966.08i | 0.672696 | + | 0.244841i | 0.655708 | − | 0.755015i | \(-0.272370\pi\) |
0.0169875 | + | 0.999856i | \(0.494592\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 135.087 | − | 766.118i | 0.0166977 | − | 0.0946974i | ||||
\(404\) | 1653.49 | 0.203625 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1084.70 | 0.132593 | ||||||||
\(407\) | −543.331 | + | 3081.38i | −0.0661718 | + | 0.375279i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4723.52 | − | 1719.22i | −0.571059 | − | 0.207848i | 0.0403195 | − | 0.999187i | \(-0.487162\pi\) |
−0.611378 | + | 0.791338i | \(0.709385\pi\) | |||||||
\(410\) | 11776.7 | − | 9881.83i | 1.41856 | − | 1.19031i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2460.74 | − | 895.637i | 0.294253 | − | 0.107099i | ||||
\(413\) | 2625.18 | − | 4546.94i | 0.312776 | − | 0.541744i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 14401.6 | + | 24944.4i | 1.70349 | + | 2.95053i | ||||
\(416\) | 983.438 | + | 825.202i | 0.115906 | + | 0.0972569i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −592.699 | − | 3361.36i | −0.0693538 | − | 0.393325i | ||||
\(419\) | −1510.39 | − | 8565.82i | −0.176103 | − | 0.998730i | −0.936863 | − | 0.349697i | \(-0.886285\pi\) |
0.760760 | − | 0.649033i | \(-0.224826\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9129.88 | − | 7660.87i | −1.05692 | − | 0.886860i | −0.0631149 | − | 0.998006i | \(-0.520103\pi\) |
−0.993804 | + | 0.111146i | \(0.964548\pi\) | |||||||
\(422\) | 3554.13 | + | 6155.93i | 0.409982 | + | 0.710109i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2780.52 | + | 4816.00i | −0.318476 | + | 0.551617i | ||||
\(425\) | −11698.7 | + | 4257.98i | −1.33523 | + | 0.485982i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 798.141 | − | 669.720i | 0.0904561 | − | 0.0759017i | ||||
\(428\) | −1517.90 | − | 552.469i | −0.171426 | − | 0.0623940i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1451.44 | + | 8231.55i | −0.162779 | + | 0.923164i | ||||
\(431\) | 2409.07 | 0.269236 | 0.134618 | − | 0.990898i | \(-0.457019\pi\) | ||||
0.134618 | + | 0.990898i | \(0.457019\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −14299.0 | −1.58699 | −0.793496 | − | 0.608575i | \(-0.791742\pi\) | ||||
−0.793496 | + | 0.608575i | \(0.791742\pi\) | |||||||
\(434\) | −84.4097 | + | 478.711i | −0.00933593 | + | 0.0529467i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2298.34 | − | 836.527i | −0.252455 | − | 0.0918862i | ||||
\(437\) | −18030.1 | + | 15129.1i | −1.97368 | + | 1.65611i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1498.70 | + | 545.482i | −0.162936 | + | 0.0593039i | −0.422200 | − | 0.906502i | \(-0.638742\pi\) |
0.259264 | + | 0.965806i | \(0.416520\pi\) | |||||||
\(440\) | −978.574 | + | 1694.94i | −0.106027 | + | 0.183643i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1968.87 | − | 3410.19i | −0.211877 | − | 0.366982i | ||||
\(443\) | −9206.21 | − | 7724.93i | −0.987360 | − | 0.828493i | −0.00217624 | − | 0.999998i | \(-0.500693\pi\) |
−0.985183 | + | 0.171505i | \(0.945137\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2711.71 | + | 15378.9i | 0.288871 | + | 1.63827i | ||||
\(446\) | 684.675 | + | 3882.98i | 0.0726912 | + | 0.412253i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −614.504 | − | 515.630i | −0.0648048 | − | 0.0543777i | ||||
\(449\) | 422.329 | + | 731.495i | 0.0443896 | + | 0.0768850i | 0.887367 | − | 0.461065i | \(-0.152532\pi\) |
−0.842977 | + | 0.537950i | \(0.819199\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2483.00 | + | 4300.68i | −0.259246 | + | 0.449027i | ||||
\(452\) | 1724.02 | − | 627.493i | 0.179405 | − | 0.0652982i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2951.93 | + | 2476.96i | −0.305156 | + | 0.256056i | ||||
\(455\) | 9195.02 | + | 3346.71i | 0.947404 | + | 0.344827i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1531.06 | + | 8683.08i | −0.156718 | + | 0.888791i | 0.800481 | + | 0.599359i | \(0.204578\pi\) |
−0.957199 | + | 0.289432i | \(0.906534\pi\) | |||||||
\(458\) | 12944.7 | 1.32067 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 13496.0 | 1.36794 | ||||||||
\(461\) | 288.993 | − | 1638.96i | 0.0291969 | − | 0.165584i | −0.966723 | − | 0.255825i | \(-0.917653\pi\) |
0.995920 | + | 0.0902416i | \(0.0287639\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15794.8 | + | 5748.83i | 1.58541 | + | 0.577043i | 0.976372 | − | 0.216096i | \(-0.0693326\pi\) |
0.609040 | + | 0.793139i | \(0.291555\pi\) | |||||||
\(464\) | −530.351 | + | 445.017i | −0.0530623 | + | 0.0445246i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6425.77 | − | 2338.79i | 0.638772 | − | 0.232494i | ||||
\(467\) | 3752.00 | − | 6498.66i | 0.371781 | − | 0.643944i | −0.618058 | − | 0.786132i | \(-0.712080\pi\) |
0.989840 | + | 0.142188i | \(0.0454138\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3786.49 | + | 6558.39i | 0.372801 | + | 0.645710i | ||||
\(470\) | 8482.59 | + | 7117.74i | 0.832495 | + | 0.698546i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 581.913 | + | 3300.19i | 0.0567473 | + | 0.321830i | ||||
\(473\) | −468.854 | − | 2659.00i | −0.0455770 | − | 0.258480i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −26379.4 | − | 22135.0i | −2.54815 | − | 2.13815i | ||||
\(476\) | 1230.25 | + | 2130.86i | 0.118464 | + | 0.205185i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 1235.21 | − | 2139.44i | 0.118195 | − | 0.204719i | ||||
\(479\) | 9907.76 | − | 3606.13i | 0.945088 | − | 0.343984i | 0.176915 | − | 0.984226i | \(-0.443388\pi\) |
0.768173 | + | 0.640242i | \(0.221166\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7648.76 | + | 6418.07i | −0.725059 | + | 0.608397i | ||||
\(482\) | 5459.01 | + | 1986.92i | 0.515873 | + | 0.187763i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −814.721 | + | 4620.51i | −0.0765140 | + | 0.433932i | ||||
\(485\) | 28989.1 | 2.71408 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −7526.48 | −0.700323 | −0.350161 | − | 0.936689i | \(-0.613873\pi\) | ||||
−0.350161 | + | 0.936689i | \(0.613873\pi\) | |||||||
\(488\) | −115.477 | + | 654.903i | −0.0107119 | + | 0.0607501i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 6798.68 | + | 2474.52i | 0.626802 | + | 0.228137i | ||||
\(491\) | −4344.46 | + | 3645.44i | −0.399313 | + | 0.335064i | −0.820228 | − | 0.572036i | \(-0.806154\pi\) |
0.420915 | + | 0.907100i | \(0.361709\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1995.49 | − | 726.299i | 0.182297 | − | 0.0663506i | ||||
\(494\) | 5445.99 | − | 9432.73i | 0.496005 | − | 0.859106i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −155.128 | − | 268.690i | −0.0140433 | − | 0.0243237i | ||||
\(497\) | −487.912 | − | 409.406i | −0.0440359 | − | 0.0369505i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1147.63 | − | 6508.52i | −0.102956 | − | 0.583890i | −0.992017 | − | 0.126103i | \(-0.959753\pi\) |
0.889062 | − | 0.457788i | \(-0.151358\pi\) | |||||||
\(500\) | 1739.23 | + | 9863.67i | 0.155562 | + | 0.882234i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 3136.87 | + | 2632.15i | 0.278895 | + | 0.234021i | ||||
\(503\) | 5921.08 | + | 10255.6i | 0.524866 | + | 0.909095i | 0.999581 | + | 0.0289553i | \(0.00921805\pi\) |
−0.474714 | + | 0.880140i | \(0.657449\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4022.03 | + | 6966.37i | −0.354412 | + | 0.613860i | ||||
\(506\) | −4096.63 | + | 1491.05i | −0.359916 | + | 0.130999i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3434.62 | + | 2881.99i | −0.299974 | + | 0.251708i | ||||
\(509\) | −5319.30 | − | 1936.07i | −0.463210 | − | 0.168594i | 0.0998643 | − | 0.995001i | \(-0.468159\pi\) |
−0.563074 | + | 0.826407i | \(0.690381\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1936.75 | − | 10983.9i | 0.167665 | − | 0.950875i | ||||
\(512\) | 512.000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 12156.7 | 1.04321 | ||||||||
\(515\) | −2212.20 | + | 12546.0i | −0.189284 | + | 1.07348i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3361.22 | − | 1223.39i | −0.285931 | − | 0.104070i | ||||
\(518\) | 4779.35 | − | 4010.35i | 0.405391 | − | 0.340163i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −5868.84 | + | 2136.08i | −0.494934 | + | 0.180141i | ||||
\(521\) | 3673.26 | − | 6362.28i | 0.308884 | − | 0.535003i | −0.669235 | − | 0.743051i | \(-0.733378\pi\) |
0.978119 | + | 0.208049i | \(0.0667112\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −5484.53 | − | 9499.49i | −0.458550 | − | 0.794233i | 0.540334 | − | 0.841450i | \(-0.318298\pi\) |
−0.998885 | + | 0.0472179i | \(0.984964\pi\) | |||||||
\(524\) | −1588.25 | − | 1332.70i | −0.132410 | − | 0.111106i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −646.528 | − | 3666.64i | −0.0535931 | − | 0.303942i | ||||
\(527\) | 165.252 | + | 937.190i | 0.0136594 | + | 0.0774661i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13708.5 | + | 11502.8i | 1.12670 | + | 0.945411i | ||||
\(530\) | −13526.9 | − | 23429.3i | −1.10863 | − | 1.92020i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3402.94 | + | 5894.07i | −0.277324 | + | 0.480339i | ||||
\(533\) | −14891.4 | + | 5420.02i | −1.21016 | + | 0.440464i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6019.82 | − | 5051.23i | 0.486467 | − | 0.408194i | ||||
\(536\) | −4542.05 | − | 1653.17i | −0.366020 | − | 0.133220i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 2248.05 | − | 12749.3i | 0.180149 | − | 1.02168i | ||||
\(539\) | −2337.09 | −0.186764 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6254.50 | −0.497046 | −0.248523 | − | 0.968626i | \(-0.579945\pi\) | ||||
−0.248523 | + | 0.968626i | \(0.579945\pi\) | |||||||
\(542\) | −962.206 | + | 5456.94i | −0.0762552 | + | 0.432465i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1475.74 | − | 537.126i | −0.116309 | − | 0.0423329i | ||||
\(545\) | 9114.98 | − | 7648.38i | 0.716409 | − | 0.601138i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9564.08 | − | 3481.04i | 0.747588 | − | 0.272100i | 0.0599974 | − | 0.998199i | \(-0.480891\pi\) |
0.687590 | + | 0.726099i | \(0.258669\pi\) | |||||||
\(548\) | −1068.83 | + | 1851.27i | −0.0833178 | + | 0.144311i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3189.17 | − | 5523.81i | −0.247249 | − | 0.428247i | ||||
\(551\) | 4499.63 | + | 3775.64i | 0.347896 | + | 0.291919i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 367.731 | + | 2085.51i | 0.0282776 | + | 0.160370i | ||||
\(554\) | 1838.44 | + | 10426.3i | 0.140989 | + | 0.799588i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1122.08 | − | 941.540i | −0.0855881 | − | 0.0718169i | ||||
\(557\) | −2682.97 | − | 4647.04i | −0.204095 | − | 0.353503i | 0.745749 | − | 0.666227i | \(-0.232092\pi\) |
−0.949844 | + | 0.312724i | \(0.898759\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4308.04 | − | 7461.74i | 0.325958 | − | 0.564576i | ||||
\(560\) | 3667.16 | − | 1334.74i | 0.276724 | − | 0.100719i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6896.98 | + | 5787.25i | −0.517672 | + | 0.434378i | ||||
\(563\) | −13974.5 | − | 5086.31i | −1.04610 | − | 0.380750i | −0.238912 | − | 0.971041i | \(-0.576791\pi\) |
−0.807190 | + | 0.590291i | \(0.799013\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1549.89 | + | 8789.86i | −0.115406 | + | 0.654500i | ||||
\(566\) | −18208.7 | −1.35224 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 406.524 | 0.0300306 | ||||||||
\(569\) | 4185.50 | − | 23737.2i | 0.308375 | − | 1.74888i | −0.298803 | − | 0.954315i | \(-0.596587\pi\) |
0.607178 | − | 0.794566i | \(-0.292302\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14252.4 | + | 5187.44i | 1.04456 | + | 0.380188i | 0.806607 | − | 0.591089i | \(-0.201302\pi\) |
0.237952 | + | 0.971277i | \(0.423524\pi\) | |||||||
\(572\) | 1545.46 | − | 1296.79i | 0.112970 | − | 0.0947931i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 9304.93 | − | 3386.72i | 0.676620 | − | 0.246270i | ||||
\(575\) | −21991.7 | + | 38090.7i | −1.59498 | + | 2.76259i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1471.56 | − | 2548.82i | −0.106173 | − | 0.183897i | 0.808044 | − | 0.589122i | \(-0.200526\pi\) |
−0.914217 | + | 0.405225i | \(0.867193\pi\) | |||||||
\(578\) | −3837.10 | − | 3219.71i | −0.276128 | − | 0.231699i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −584.861 | − | 3316.91i | −0.0418707 | − | 0.237461i | ||||
\(581\) | 3221.59 | + | 18270.5i | 0.230041 | + | 1.30463i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 6694.53 | + | 5617.38i | 0.475573 | + | 0.399053i | ||||
\(584\) | 3559.37 | + | 6165.01i | 0.252205 | + | 0.436832i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1750.64 | − | 3032.20i | 0.123410 | − | 0.213752i | ||||
\(587\) | 11897.8 | − | 4330.46i | 0.836586 | − | 0.304492i | 0.112027 | − | 0.993705i | \(-0.464266\pi\) |
0.724559 | + | 0.689213i | \(0.242043\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2016.46 | + | 1692.01i | −0.141064 | + | 0.118367i | ||||
\(590\) | −15319.6 | − | 5575.87i | −1.06898 | − | 0.389076i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −691.488 | + | 3921.62i | −0.0480067 | + | 0.272259i | ||||
\(593\) | −27302.9 | −1.89071 | −0.945357 | − | 0.326036i | \(-0.894287\pi\) | ||||
−0.945357 | + | 0.326036i | \(0.894287\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −11970.1 | −0.824751 | ||||||||
\(596\) | 328.342 | − | 1862.12i | 0.0225661 | − | 0.127979i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −13072.8 | − | 4758.11i | −0.893958 | − | 0.325374i | ||||
\(599\) | 18405.2 | − | 15443.8i | 1.25545 | − | 1.05345i | 0.259300 | − | 0.965797i | \(-0.416508\pi\) |
0.996151 | − | 0.0876521i | \(-0.0279364\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 16283.0 | − | 5926.53i | 1.10515 | − | 0.402243i | 0.275941 | − | 0.961175i | \(-0.411011\pi\) |
0.829214 | + | 0.558931i | \(0.188788\pi\) | |||||||
\(602\) | −2691.89 | + | 4662.49i | −0.182248 | + | 0.315663i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1521.42 | − | 2635.17i | −0.102493 | − | 0.177522i | ||||
\(605\) | −17485.0 | − | 14671.7i | −1.17499 | − | 0.985931i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2979.50 | − | 16897.6i | −0.199233 | − | 1.12990i | −0.906261 | − | 0.422719i | \(-0.861076\pi\) |
0.707028 | − | 0.707186i | \(-0.250035\pi\) | |||||||
\(608\) | −754.317 | − | 4277.95i | −0.0503151 | − | 0.285351i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2478.29 | − | 2079.53i | −0.164497 | − | 0.138029i | ||||
\(611\) | −5707.21 | − | 9885.19i | −0.377887 | − | 0.654520i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −936.810 | + | 1622.60i | −0.0617249 | + | 0.106911i | −0.895237 | − | 0.445591i | \(-0.852993\pi\) |
0.833512 | + | 0.552502i | \(0.186327\pi\) | |||||||
\(614\) | 1487.39 | − | 541.367i | 0.0977627 | − | 0.0355827i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −965.683 | + | 810.305i | −0.0631631 | + | 0.0530002i | ||||
\(617\) | 14311.7 | + | 5209.04i | 0.933822 | + | 0.339884i | 0.763724 | − | 0.645543i | \(-0.223369\pi\) |
0.170099 | + | 0.985427i | \(0.445591\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3287.30 | + | 18643.2i | −0.213453 | + | 1.21055i | 0.670117 | + | 0.742256i | \(0.266244\pi\) |
−0.883570 | + | 0.468299i | \(0.844867\pi\) | |||||||
\(620\) | 1509.37 | 0.0977704 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −8354.24 | −0.538544 | ||||||||
\(623\) | −1746.63 | + | 9905.64i | −0.112323 | + | 0.637016i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −15990.4 | − | 5820.02i | −1.02338 | − | 0.372481i | ||||
\(626\) | −2065.94 | + | 1733.53i | −0.131903 | + | 0.110680i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 502.883 | − | 183.034i | 0.0319542 | − | 0.0116304i | ||||
\(629\) | 6107.15 | − | 10577.9i | 0.387135 | − | 0.670538i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5557.83 | − | 9626.44i | −0.350640 | − | 0.607326i | 0.635722 | − | 0.771918i | \(-0.280702\pi\) |
−0.986362 | + | 0.164592i | \(0.947369\pi\) | |||||||
\(632\) | −1035.41 | − | 868.815i | −0.0651685 | − | 0.0546829i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1804.41 | + | 10233.3i | 0.113032 | + | 0.641035i | ||||
\(635\) | −3787.64 | − | 21480.8i | −0.236705 | − | 1.34242i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5713.10 | − | 4793.86i | −0.355355 | − | 0.298179i | ||||
\(638\) | 543.988 | + | 942.215i | 0.0337566 | + | 0.0584681i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1245.41 | + | 2157.12i | −0.0769207 | + | 0.133231i | ||||
\(641\) | 7179.60 | − | 2613.16i | 0.442398 | − | 0.161020i | −0.111210 | − | 0.993797i | \(-0.535473\pi\) |
0.553608 | + | 0.832777i | \(0.313250\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 13997.5 | − | 11745.3i | 0.858489 | − | 0.720358i | −0.103153 | − | 0.994665i | \(-0.532893\pi\) |
0.961642 | + | 0.274308i | \(0.0884487\pi\) | |||||||
\(644\) | 8168.58 | + | 2973.12i | 0.499825 | + | 0.181921i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2313.71 | + | 13121.7i | −0.140916 | + | 0.799174i | ||||
\(647\) | 25312.2 | 1.53806 | 0.769031 | − | 0.639211i | \(-0.220739\pi\) | ||||
0.769031 | + | 0.639211i | \(0.220739\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5266.21 | 0.318516 | ||||||||
\(650\) | 3534.44 | − | 20044.8i | 0.213280 | − | 1.20957i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3409.88 | + | 1241.09i | 0.204818 | + | 0.0745475i | ||||
\(653\) | −6698.10 | + | 5620.37i | −0.401404 | + | 0.336818i | −0.821036 | − | 0.570876i | \(-0.806604\pi\) |
0.419632 | + | 0.907694i | \(0.362159\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 9478.16 | − | 3449.77i | 0.565408 | − | 0.205792i | ||||
\(656\) | −3160.07 | + | 5473.40i | −0.188079 | + | 0.325763i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 3566.17 | + | 6176.79i | 0.211282 | + | 0.365952i | ||||
\(659\) | 5256.35 | + | 4410.60i | 0.310711 | + | 0.260717i | 0.784786 | − | 0.619767i | \(-0.212773\pi\) |
−0.474075 | + | 0.880484i | \(0.657217\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3401.50 | − | 19290.9i | −0.200156 | − | 1.13514i | −0.904883 | − | 0.425661i | \(-0.860042\pi\) |
0.704727 | − | 0.709479i | \(-0.251070\pi\) | |||||||
\(662\) | 124.284 | + | 704.849i | 0.00729673 | + | 0.0413818i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −9070.95 | − | 7611.43i | −0.530152 | − | 0.444851i | ||||
\(665\) | −16554.9 | − | 28674.0i | −0.965373 | − | 1.67208i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3751.19 | − | 6497.26i | 0.217761 | − | 0.377174i | ||||
\(668\) | 7101.12 | − | 2584.60i | 0.411304 | − | 0.149702i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 18013.3 | − | 15114.9i | 1.03868 | − | 0.871554i | ||||
\(671\) | 982.022 | + | 357.427i | 0.0564986 | + | 0.0205638i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4940.53 | + | 28019.1i | −0.282977 | + | 1.60484i | 0.429448 | + | 0.903092i | \(0.358708\pi\) |
−0.712425 | + | 0.701749i | \(0.752403\pi\) | |||||||
\(674\) | 2483.34 | 0.141921 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2350.08 | −0.133709 | ||||||||
\(677\) | 2864.92 | − | 16247.8i | 0.162641 | − | 0.922383i | −0.788822 | − | 0.614621i | \(-0.789309\pi\) |
0.951463 | − | 0.307762i | \(-0.0995800\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 17546.0 | + | 6386.22i | 0.991684 | + | 0.360943i | ||||
\(680\) | 5852.64 | − | 4910.95i | 0.330057 | − | 0.276950i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −458.160 | + | 166.757i | −0.0257242 | + | 0.00936283i | ||||
\(683\) | −6611.99 | + | 11452.3i | −0.370426 | + | 0.641596i | −0.989631 | − | 0.143633i | \(-0.954122\pi\) |
0.619205 | + | 0.785229i | \(0.287455\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5199.75 | − | 9006.22i | −0.290032 | − | 0.502351i | ||||
\(686\) | 10156.6 | + | 8522.37i | 0.565276 | + | 0.474323i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −596.701 | − | 3384.06i | −0.0330654 | − | 0.187523i | ||||
\(689\) | 4842.60 | + | 27463.8i | 0.267763 | + | 1.51856i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22845.9 | − | 19170.0i | −1.25774 | − | 1.05537i | −0.995919 | − | 0.0902562i | \(-0.971231\pi\) |
−0.261824 | − | 0.965116i | \(-0.584324\pi\) | |||||||
\(692\) | −1113.52 | − | 1928.68i | −0.0611703 | − | 0.105950i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6916.81 | + | 11980.3i | −0.378326 | + | 0.655280i | ||||
\(695\) | 6696.23 | − | 2437.23i | 0.365471 | − | 0.133021i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 14850.3 | − | 12460.9i | 0.807023 | − | 0.677173i | ||||
\(698\) | −15219.3 | − | 5539.37i | −0.825299 | − | 0.300384i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2208.50 | + | 12525.1i | −0.119248 | + | 0.676289i | ||||
\(701\) | −21101.1 | −1.13692 | −0.568459 | − | 0.822712i | \(-0.692460\pi\) | ||||
−0.568459 | + | 0.822712i | \(0.692460\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 33785.3 | 1.81257 | ||||||||
\(704\) | 139.717 | − | 792.377i | 0.00747983 | − | 0.0424202i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 849.288 | + | 309.116i | 0.0452739 | + | 0.0164784i | ||||
\(707\) | −3969.05 | + | 3330.43i | −0.211134 | + | 0.177162i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 18874.2 | − | 6869.65i | 0.999769 | − | 0.363886i | 0.210273 | − | 0.977643i | \(-0.432565\pi\) |
0.789495 | + | 0.613756i | \(0.210342\pi\) | |||||||
\(710\) | −988.849 | + | 1712.74i | −0.0522688 | + | 0.0905322i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3209.97 | − | 5559.82i | −0.168959 | − | 0.292645i | ||||
\(713\) | 2575.53 | + | 2161.12i | 0.135279 | + | 0.113513i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1704.30 | + | 9665.58i | 0.0891431 | + | 0.505555i | ||||
\(716\) | 1456.56 | + | 8260.58i | 0.0760256 | + | 0.431163i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −4262.03 | − | 3576.27i | −0.221529 | − | 0.185885i | ||||
\(719\) | 7845.00 | + | 13587.9i | 0.406911 | + | 0.704791i | 0.994542 | − | 0.104338i | \(-0.0332724\pi\) |
−0.587630 | + | 0.809129i | \(0.699939\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4102.81 | + | 7106.27i | −0.211923 | + | 0.367062i | ||||
\(722\) | −21741.8 | + | 7913.36i | −1.12070 | + | 0.407901i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 850.807 | − | 713.912i | 0.0436740 | − | 0.0366469i | ||||
\(725\) | 10314.6 | + | 3754.21i | 0.528379 | + | 0.192314i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −3384.34 | + | 19193.5i | −0.172652 | + | 0.979160i | 0.768167 | + | 0.640250i | \(0.221169\pi\) |
−0.940819 | + | 0.338910i | \(0.889942\pi\) | |||||||
\(728\) | −4022.75 | −0.204798 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −34631.9 | −1.75587 | ||||||||
\(731\) | −1830.25 | + | 10379.9i | −0.0926052 | + | 0.525190i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −32670.0 | − | 11890.9i | −1.64624 | − | 0.599182i | −0.658126 | − | 0.752908i | \(-0.728651\pi\) |
−0.988114 | + | 0.153725i | \(0.950873\pi\) | |||||||
\(734\) | 3713.23 | − | 3115.77i | 0.186727 | − | 0.156683i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −5213.70 | + | 1897.63i | −0.261114 | + | 0.0950376i | ||||
\(737\) | −3797.92 | + | 6578.19i | −0.189821 | + | 0.328780i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 10087.7 | + | 17472.4i | 0.502141 | + | 0.869735i | 0.999997 | + | 0.00247455i | \(0.000787673\pi\) |
−0.497855 | + | 0.867260i | \(0.665879\pi\) | |||||||
\(740\) | −14840.3 | − | 12452.5i | −0.737214 | − | 0.618596i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3025.91 | − | 17160.8i | −0.149710 | − | 0.849047i | ||||
\(743\) | 2895.63 | + | 16422.0i | 0.142975 | + | 0.810852i | 0.968971 | + | 0.247175i | \(0.0795024\pi\) |
−0.825996 | + | 0.563676i | \(0.809386\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 7046.65 | + | 5912.84i | 0.346536 | + | 0.290778i | ||||
\(746\) | 12954.1 | + | 22437.2i | 0.635769 | + | 1.10118i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1233.97 | + | 2137.30i | −0.0603188 | + | 0.104475i | ||||
\(749\) | 4756.34 | − | 1731.17i | 0.232033 | − | 0.0844532i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 12359.7 | − | 10371.0i | 0.600547 | − | 0.503919i | −0.291074 | − | 0.956700i | \(-0.594013\pi\) |
0.891621 | + | 0.452782i | \(0.149568\pi\) | |||||||
\(752\) | −4277.77 | − | 1556.98i | −0.207439 | − | 0.0755016i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −602.882 | + | 3419.11i | −0.0291189 | + | 0.165142i | ||||
\(755\) | 14803.1 | 0.713561 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −198.559 | −0.00953334 | −0.00476667 | − | 0.999989i | \(-0.501517\pi\) | ||||
−0.00476667 | + | 0.999989i | \(0.501517\pi\) | |||||||
\(758\) | 1956.25 | − | 11094.4i | 0.0937390 | − | 0.531620i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 19858.3 | + | 7227.85i | 0.947813 | + | 0.344976i | ||||
\(761\) | 7147.26 | − | 5997.26i | 0.340457 | − | 0.285677i | −0.456488 | − | 0.889730i | \(-0.650893\pi\) |
0.796945 | + | 0.604052i | \(0.206448\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7201.86 | − | 2621.26i | 0.341710 | − | 0.124372i | ||||
\(764\) | −2888.83 | + | 5003.61i | −0.136799 | + | 0.236943i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13347.9 | + | 23119.2i | 0.629606 | + | 1.09051i | ||||
\(767\) | 12873.4 | + | 10802.1i | 0.606040 | + | 0.508528i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1495.36 | − | 8480.61i | −0.0701223 | − | 0.397683i | −0.999586 | − | 0.0287700i | \(-0.990841\pi\) |
0.929464 | − | 0.368914i | \(-0.120270\pi\) | |||||||
\(770\) | −1064.94 | − | 6039.56i | −0.0498412 | − | 0.282663i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 7664.80 | + | 6431.53i | 0.357335 | + | 0.299839i | ||||
\(773\) | 3744.86 | + | 6486.29i | 0.174247 | + | 0.301805i | 0.939901 | − | 0.341448i | \(-0.110917\pi\) |
−0.765653 | + | 0.643254i | \(0.777584\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2459.51 | + | 4260.00i | −0.113998 | + | 0.197450i | ||||
\(776\) | −11198.9 | + | 4076.08i | −0.518065 | + | 0.188560i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3883.17 | − | 3258.37i | 0.178944 | − | 0.150152i | ||||
\(779\) | 50387.9 | + | 18339.7i | 2.31750 | + | 0.843502i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 110.935 | − | 629.142i | 0.00508266 | − | 0.0288252i | ||||
\(782\) | 17018.3 | 0.778224 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2974.37 | −0.135494 | ||||||||
\(785\) | −452.090 | + | 2563.93i | −0.0205551 | + | 0.116574i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −13257.6 | − | 4825.38i | −0.600487 | − | 0.218560i | 0.0238484 | − | 0.999716i | \(-0.492408\pi\) |
−0.624336 | + | 0.781156i | \(0.714630\pi\) | |||||||
\(788\) | −3301.92 | + | 2770.64i | −0.149272 | + | 0.125254i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 6179.01 | − | 2248.97i | 0.278277 | − | 0.101285i | ||||
\(791\) | −2874.47 | + | 4978.73i | −0.129209 | + | 0.223797i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1667.43 | + | 2888.08i | 0.0746687 | + | 0.129330i | ||||
\(794\) | −20013.0 | − | 16792.9i | −0.894504 | − | 0.750578i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2626.80 | + | 14897.3i | 0.116965 | + | 0.663343i | ||||
\(797\) | −3950.90 | − | 22406.6i | −0.175593 | − | 0.995839i | −0.937457 | − | 0.348102i | \(-0.886826\pi\) |
0.761863 | − | 0.647738i | \(-0.224285\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10696.5 | + | 8975.39i | 0.473609 | + | 0.397405i | ||||
\(800\) | −4058.80 | − | 7030.05i | −0.179375 | − | 0.310687i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 5748.43 | − | 9956.57i | 0.253097 | − | 0.438378i | ||||
\(803\) | 10512.3 | − | 3826.18i | 0.461983 | − | 0.168148i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −32395.8 | + | 27183.3i | −1.41839 | + | 1.19017i | ||||
\(806\) | −1462.04 | − | 532.140i | −0.0638936 | − | 0.0232554i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 574.252 | − | 3256.75i | 0.0250026 | − | 0.141797i | ||||
\(809\) | −19598.1 | −0.851708 | −0.425854 | − | 0.904792i | \(-0.640026\pi\) | ||||
−0.425854 | + | 0.904792i | \(0.640026\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −26568.7 | −1.15038 | −0.575188 | − | 0.818022i | \(-0.695071\pi\) | ||||
−0.575188 | + | 0.818022i | \(0.695071\pi\) | |||||||
\(812\) | 376.712 | − | 2136.44i | 0.0162808 | − | 0.0923330i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 5880.45 | + | 2140.31i | 0.253206 | + | 0.0921594i | ||||
\(815\) | −13523.2 | + | 11347.3i | −0.581224 | + | 0.487705i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −27396.0 | + | 9971.31i | −1.17315 | + | 0.426991i | ||||
\(818\) | −5026.67 | + | 8706.44i | −0.214857 | + | 0.372144i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −15373.4 | − | 26627.5i | −0.654710 | − | 1.13399i | ||||
\(821\) | 32503.4 | + | 27273.6i | 1.38170 | + | 1.15938i | 0.968578 | + | 0.248708i | \(0.0800060\pi\) |
0.413122 | + | 0.910676i | \(0.364438\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3848.66 | + | 21826.8i | 0.163008 | + | 0.924466i | 0.951094 | + | 0.308901i | \(0.0999611\pi\) |
−0.788086 | + | 0.615565i | \(0.788928\pi\) | |||||||
\(824\) | −909.454 | − | 5157.77i | −0.0384494 | − | 0.218058i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −8044.01 | − | 6749.72i | −0.338846 | − | 0.284325i | ||||
\(827\) | −6584.87 | − | 11405.3i | −0.276878 | − | 0.479567i | 0.693729 | − | 0.720236i | \(-0.255967\pi\) |
−0.970607 | + | 0.240669i | \(0.922633\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13106.3 | − | 22700.8i | 0.549097 | − | 0.951065i | −0.449239 | − | 0.893411i | \(-0.648305\pi\) |
0.998337 | − | 0.0576531i | \(-0.0183617\pi\) | |||||||
\(830\) | 54132.5 | − | 19702.6i | 2.26381 | − | 0.823961i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1966.88 | − | 1650.40i | 0.0819581 | − | 0.0687710i | ||||
\(833\) | 8573.06 | + | 3120.34i | 0.356589 | + | 0.129788i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6383.88 | + | 36204.8i | −0.264579 | + | 1.50050i | ||||
\(836\) | −6826.44 | −0.282413 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −17395.9 | −0.717103 | ||||||||
\(839\) | 1196.65 | − | 6786.56i | 0.0492408 | − | 0.279259i | −0.950239 | − | 0.311523i | \(-0.899161\pi\) |
0.999479 | + | 0.0322647i | \(0.0102719\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21158.8 | + | 7701.16i | 0.867554 | + | 0.315764i | ||||
\(842\) | −18259.8 | + | 15321.7i | −0.747355 | + | 0.627105i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 13359.2 | − | 4862.33i | 0.544835 | − | 0.198304i | ||||
\(845\) | 5716.44 | − | 9901.16i | 0.232724 | − | 0.403089i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −7350.88 | − | 12732.1i | −0.298204 | − | 0.516505i | ||||
\(848\) | 8520.00 | + | 7149.13i | 0.345021 | + | 0.289507i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 4323.67 | + | 24520.7i | 0.174471 | + | 0.989476i | ||||
\(851\) | −7493.33 | − | 42496.8i | −0.301842 | − | 1.71183i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 14085.2 | + | 11818.9i | 0.565379 | + | 0.474409i | 0.880109 | − | 0.474772i | \(-0.157470\pi\) |
−0.314730 | + | 0.949181i | \(0.601914\pi\) | |||||||
\(854\) | −1041.90 | − | 1804.62i | −0.0417483 | − | 0.0723102i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1615.31 | + | 2797.80i | −0.0644980 | + | 0.111714i | ||||
\(857\) | −28034.0 | + | 10203.6i | −1.11742 | + | 0.406706i | −0.833708 | − | 0.552205i | \(-0.813786\pi\) |
−0.283707 | + | 0.958911i | \(0.591564\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −10061.0 | + | 8442.15i | −0.399623 | + | 0.335323i | −0.820348 | − | 0.571865i | \(-0.806220\pi\) |
0.420725 | + | 0.907188i | \(0.361776\pi\) | |||||||
\(860\) | 15708.9 | + | 5717.57i | 0.622871 | + | 0.226707i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 836.660 | − | 4744.94i | 0.0330589 | − | 0.187486i | ||||
\(863\) | −26268.6 | −1.03615 | −0.518074 | − | 0.855336i | \(-0.673351\pi\) | ||||
−0.518074 | + | 0.855336i | \(0.673351\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10834.4 | 0.425872 | ||||||||
\(866\) | −4966.00 | + | 28163.6i | −0.194863 | + | 1.10513i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 913.562 | + | 332.509i | 0.0357239 | + | 0.0130024i | ||||
\(869\) | −1627.14 | + | 1365.33i | −0.0635176 | + | 0.0532976i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −22777.4 | + | 8290.30i | −0.886089 | + | 0.322510i | ||||
\(872\) | −2445.84 | + | 4236.32i | −0.0949847 | + | 0.164518i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 23536.6 | + | 40766.6i | 0.910913 | + | 1.57775i | ||||
\(875\) | −24042.1 | − | 20173.7i | −0.928880 | − | 0.779423i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −2217.19 | − | 12574.3i | −0.0853696 | − | 0.484155i | −0.997276 | − | 0.0737574i | \(-0.976501\pi\) |
0.911907 | − | 0.410398i | \(-0.134610\pi\) | |||||||
\(878\) | 553.897 | + | 3141.30i | 0.0212906 | + | 0.120745i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2998.52 | + | 2516.06i | 0.114864 | + | 0.0963822i | ||||
\(881\) | −3774.21 | − | 6537.12i | −0.144332 | − | 0.249990i | 0.784792 | − | 0.619760i | \(-0.212770\pi\) |
−0.929123 | + | 0.369770i | \(0.879437\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −20359.5 | + | 35263.7i | −0.775938 | + | 1.34396i | 0.158328 | + | 0.987387i | \(0.449390\pi\) |
−0.934266 | + | 0.356577i | \(0.883944\pi\) | |||||||
\(884\) | −7400.54 | + | 2693.58i | −0.281569 | + | 0.102483i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −18412.4 | + | 15449.9i | −0.698169 | + | 0.585833i | ||||
\(887\) | −30952.9 | − | 11265.9i | −1.17170 | − | 0.426464i | −0.318436 | − | 0.947944i | \(-0.603158\pi\) |
−0.853263 | + | 0.521481i | \(0.825380\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2439.64 | − | 13835.9i | 0.0920393 | − | 0.521981i | ||||
\(890\) | 31232.3 | 1.17630 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 7885.77 | 0.296004 | ||||||||
\(893\) | −6706.80 | + | 38036.2i | −0.251326 | + | 1.42534i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −38345.8 | − | 13956.7i | −1.43213 | − | 0.521254i | ||||
\(896\) | −1229.01 | + | 1031.26i | −0.0458239 | + | 0.0384509i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 1587.44 | − | 577.780i | 0.0589905 | − | 0.0214708i | ||||
\(899\) | 419.528 | − | 726.643i | 0.0155640 | − | 0.0269576i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −17057.3 | − | 29544.1i | −0.630700 | − | 1.09241i | ||||
\(902\) | 7608.36 | + | 6384.17i | 0.280854 | + | 0.235665i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −637.173 | − | 3613.59i | −0.0234426 | − | 0.132949i | ||||
\(905\) | 938.255 | + | 5321.11i | 0.0344626 | + | 0.195447i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −5243.98 | − | 4400.22i | −0.191977 | − | 0.161088i | 0.541733 | − | 0.840551i | \(-0.317768\pi\) |
−0.733710 | + | 0.679463i | \(0.762213\pi\) | |||||||
\(908\) | 3853.47 | + | 6674.40i | 0.140839 | + | 0.243940i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 9785.13 | − | 16948.3i | 0.356455 | − | 0.617398i | ||||
\(911\) | −13894.1 | + | 5057.05i | −0.505306 | + | 0.183916i | −0.582079 | − | 0.813132i | \(-0.697761\pi\) |
0.0767731 | + | 0.997049i | \(0.475538\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −14254.9 | + | 11961.3i | −0.516722 | + | 0.433581i | ||||
\(914\) | 16570.6 | + | 6031.20i | 0.599679 | + | 0.218265i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4495.64 | − | 25496.0i | 0.162162 | − | 0.919664i | ||||
\(917\) | 6496.74 | 0.233960 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 40416.4 | 1.45072 | 0.725361 | − | 0.688369i | \(-0.241673\pi\) | ||||
0.725361 | + | 0.688369i | \(0.241673\pi\) | |||||||
\(920\) | 4687.10 | − | 26581.8i | 0.167966 | − | 0.952584i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −3127.76 | − | 1138.41i | −0.111721 | − | 0.0406633i | ||||
\(923\) | 1561.69 | − | 1310.41i | 0.0556918 | − | 0.0467309i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 59327.7 | − | 21593.5i | 2.10885 | − | 0.767557i | ||||
\(926\) | 16808.5 | − | 29113.1i | 0.596501 | − | 1.03317i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 692.323 | + | 1199.14i | 0.0244899 | + | 0.0424178i | ||||
\(929\) | −14171.4 | − | 11891.2i | −0.500482 | − | 0.419955i | 0.357283 | − | 0.933996i | \(-0.383703\pi\) |
−0.857765 | + | 0.514042i | \(0.828148\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 4382.07 | + | 24852.0i | 0.154261 | + | 0.874855i | ||||
\(932\) | −2374.87 | − | 13468.5i | −0.0834671 | − | 0.473366i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −11496.8 | − | 9646.96i | −0.402770 | − | 0.337964i | ||||
\(935\) | −6003.14 | − | 10397.7i | −0.209972 | − | 0.363682i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1797.36 | + | 3113.11i | −0.0626650 | + | 0.108539i | −0.895656 | − | 0.444748i | \(-0.853293\pi\) |
0.832991 | + | 0.553287i | \(0.186627\pi\) | |||||||
\(938\) | 14232.5 | − | 5180.22i | 0.495425 | − | 0.180320i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 16965.2 | − | 14235.5i | 0.588663 | − | 0.493947i | ||||
\(941\) | 17243.5 | + | 6276.11i | 0.597366 | + | 0.217423i | 0.622966 | − | 0.782249i | \(-0.285927\pi\) |
−0.0256002 | + | 0.999672i | \(0.508150\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 11892.9 | − | 67447.9i | 0.410695 | − | 2.32917i | ||||
\(944\) | 6702.21 | 0.231079 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5400.04 | −0.185592 | ||||||||
\(947\) | 3245.48 | − | 18406.1i | 0.111366 | − | 0.631591i | −0.877119 | − | 0.480273i | \(-0.840537\pi\) |
0.988485 | − | 0.151317i | \(-0.0483515\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 33546.1 | + | 12209.8i | 1.14747 | + | 0.417646i | ||||
\(950\) | −52758.9 | + | 44269.9i | −1.80181 | + | 1.51190i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 4624.25 | − | 1683.09i | 0.157429 | − | 0.0572996i | ||||
\(953\) | 15425.8 | − | 26718.3i | 0.524335 | − | 0.908175i | −0.475263 | − | 0.879844i | \(-0.657647\pi\) |
0.999599 | − | 0.0283318i | \(-0.00901950\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −14053.9 | − | 24342.0i | −0.476202 | − | 0.824805i | ||||
\(956\) | −3784.90 | − | 3175.91i | −0.128046 | − | 0.107444i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3661.76 | − | 20766.9i | −0.123493 | − | 0.700362i | ||||
\(959\) | −1163.16 | − | 6596.61i | −0.0391662 | − | 0.222123i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −22533.2 | − | 18907.6i | −0.756376 | − | 0.634675i | ||||
\(962\) | 9984.75 | + | 17294.1i | 0.334637 | + | 0.579609i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 5809.35 | − | 10062.1i | 0.194094 | − | 0.336181i | ||||
\(965\) | −45741.0 | + | 16648.4i | −1.52586 | + | 0.555368i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 32906.2 | − | 27611.6i | 1.09430 | − | 0.918230i | 0.0972745 | − | 0.995258i | \(-0.468988\pi\) |
0.997029 | + | 0.0770280i | \(0.0245431\pi\) | |||||||
\(968\) | 8817.68 | + | 3209.37i | 0.292780 | + | 0.106563i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 10067.8 | − | 57097.4i | 0.333255 | − | 1.88999i | ||||
\(971\) | −29429.6 | −0.972647 | −0.486324 | − | 0.873779i | \(-0.661662\pi\) | ||||
−0.486324 | + | 0.873779i | \(0.661662\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4589.89 | 0.151228 | ||||||||
\(974\) | −2613.92 | + | 14824.3i | −0.0859911 | + | 0.487680i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1249.80 | + | 454.891i | 0.0409889 | + | 0.0149187i | ||||
\(977\) | 23965.6 | − | 20109.5i | 0.784776 | − | 0.658505i | −0.159670 | − | 0.987170i | \(-0.551043\pi\) |
0.944447 | + | 0.328665i | \(0.106599\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −9480.40 | + | 3450.58i | −0.309494 | + | 0.112647i | ||||
\(980\) | 7235.00 | − | 12531.4i | 0.235830 | − | 0.408470i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 5671.29 | + | 9822.97i | 0.184296 | + | 0.319209i | ||||
\(983\) | −20050.0 | − | 16823.9i | −0.650555 | − | 0.545880i | 0.256685 | − | 0.966495i | \(-0.417370\pi\) |
−0.907239 | + | 0.420615i | \(0.861814\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3641.30 | − | 20650.8i | −0.117788 | − | 0.668010i | ||||
\(986\) | −737.503 | − | 4182.59i | −0.0238204 | − | 0.135092i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −16687.5 | − | 14002.5i | −0.537348 | − | 0.450888i | ||||
\(989\) | 18618.6 | + | 32248.4i | 0.598622 | + | 1.03684i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4608.89 | − | 7982.83i | 0.147736 | − | 0.255886i | −0.782654 | − | 0.622456i | \(-0.786135\pi\) |
0.930390 | + | 0.366570i | \(0.119468\pi\) | |||||||
\(992\) | −583.092 | + | 212.228i | −0.0186625 | + | 0.00679259i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −975.823 | + | 818.813i | −0.0311381 | + | 0.0261279i | ||||
\(995\) | −69153.7 | − | 25169.9i | −2.20334 | − | 0.801949i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −7954.93 | + | 45114.7i | −0.252693 | + | 1.43310i | 0.549231 | + | 0.835670i | \(0.314921\pi\) |
−0.801925 | + | 0.597425i | \(0.796191\pi\) | |||||||
\(998\) | −13217.8 | −0.419242 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 162.4.e.b.73.5 | 30 | ||
3.2 | odd | 2 | 54.4.e.b.25.5 | yes | 30 | ||
27.11 | odd | 18 | 1458.4.a.i.1.1 | 15 | |||
27.13 | even | 9 | inner | 162.4.e.b.91.5 | 30 | ||
27.14 | odd | 18 | 54.4.e.b.13.5 | ✓ | 30 | ||
27.16 | even | 9 | 1458.4.a.j.1.15 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
54.4.e.b.13.5 | ✓ | 30 | 27.14 | odd | 18 | ||
54.4.e.b.25.5 | yes | 30 | 3.2 | odd | 2 | ||
162.4.e.b.73.5 | 30 | 1.1 | even | 1 | trivial | ||
162.4.e.b.91.5 | 30 | 27.13 | even | 9 | inner | ||
1458.4.a.i.1.1 | 15 | 27.11 | odd | 18 | |||
1458.4.a.j.1.15 | 15 | 27.16 | even | 9 |