Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6023,2,Mod(1,6023)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6023, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("6023.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6023 = 19 \cdot 317 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6023.a (trivial) |
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: | yes |
Analytic conductor: | \(48.0938971374\) |
Analytic rank: | \(1\) |
Dimension: | \(98\) |
Twist minimal: | yes |
Fricke sign: | \(+1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.4 | ||
Character | \(\chi\) | \(=\) | 6023.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.63244 | −1.86142 | −0.930708 | − | 0.365763i | \(-0.880808\pi\) | ||||
−0.930708 | + | 0.365763i | \(0.880808\pi\) | |||||||
\(3\) | −2.81028 | −1.62252 | −0.811258 | − | 0.584689i | \(-0.801217\pi\) | ||||
−0.811258 | + | 0.584689i | \(0.801217\pi\) | |||||||
\(4\) | 4.92974 | 2.46487 | ||||||||
\(5\) | 1.41252 | 0.631699 | 0.315850 | − | 0.948809i | \(-0.397710\pi\) | ||||
0.315850 | + | 0.948809i | \(0.397710\pi\) | |||||||
\(6\) | 7.39789 | 3.02018 | ||||||||
\(7\) | 3.18061 | 1.20216 | 0.601078 | − | 0.799190i | \(-0.294738\pi\) | ||||
0.601078 | + | 0.799190i | \(0.294738\pi\) | |||||||
\(8\) | −7.71236 | −2.72673 | ||||||||
\(9\) | 4.89767 | 1.63256 | ||||||||
\(10\) | −3.71838 | −1.17586 | ||||||||
\(11\) | 0.715727 | 0.215800 | 0.107900 | − | 0.994162i | \(-0.465587\pi\) | ||||
0.107900 | + | 0.994162i | \(0.465587\pi\) | |||||||
\(12\) | −13.8539 | −3.99929 | ||||||||
\(13\) | −1.65990 | −0.460373 | −0.230187 | − | 0.973147i | \(-0.573934\pi\) | ||||
−0.230187 | + | 0.973147i | \(0.573934\pi\) | |||||||
\(14\) | −8.37276 | −2.23771 | ||||||||
\(15\) | −3.96958 | −1.02494 | ||||||||
\(16\) | 10.4428 | 2.61071 | ||||||||
\(17\) | 6.51375 | 1.57982 | 0.789908 | − | 0.613225i | \(-0.210128\pi\) | ||||
0.789908 | + | 0.613225i | \(0.210128\pi\) | |||||||
\(18\) | −12.8928 | −3.03886 | ||||||||
\(19\) | 1.00000 | 0.229416 | ||||||||
\(20\) | 6.96337 | 1.55706 | ||||||||
\(21\) | −8.93840 | −1.95052 | ||||||||
\(22\) | −1.88411 | −0.401693 | ||||||||
\(23\) | −3.69982 | −0.771466 | −0.385733 | − | 0.922610i | \(-0.626051\pi\) | ||||
−0.385733 | + | 0.922610i | \(0.626051\pi\) | |||||||
\(24\) | 21.6739 | 4.42416 | ||||||||
\(25\) | −3.00478 | −0.600956 | ||||||||
\(26\) | 4.36958 | 0.856946 | ||||||||
\(27\) | −5.33297 | −1.02633 | ||||||||
\(28\) | 15.6796 | 2.96316 | ||||||||
\(29\) | 3.54363 | 0.658035 | 0.329018 | − | 0.944324i | \(-0.393282\pi\) | ||||
0.329018 | + | 0.944324i | \(0.393282\pi\) | |||||||
\(30\) | 10.4497 | 1.90784 | ||||||||
\(31\) | 3.26636 | 0.586656 | 0.293328 | − | 0.956012i | \(-0.405237\pi\) | ||||
0.293328 | + | 0.956012i | \(0.405237\pi\) | |||||||
\(32\) | −12.0654 | −2.13289 | ||||||||
\(33\) | −2.01139 | −0.350138 | ||||||||
\(34\) | −17.1470 | −2.94069 | ||||||||
\(35\) | 4.49268 | 0.759402 | ||||||||
\(36\) | 24.1442 | 4.02404 | ||||||||
\(37\) | −9.57448 | −1.57403 | −0.787017 | − | 0.616931i | \(-0.788376\pi\) | ||||
−0.787017 | + | 0.616931i | \(0.788376\pi\) | |||||||
\(38\) | −2.63244 | −0.427038 | ||||||||
\(39\) | 4.66478 | 0.746962 | ||||||||
\(40\) | −10.8939 | −1.72247 | ||||||||
\(41\) | −0.712498 | −0.111273 | −0.0556367 | − | 0.998451i | \(-0.517719\pi\) | ||||
−0.0556367 | + | 0.998451i | \(0.517719\pi\) | |||||||
\(42\) | 23.5298 | 3.63072 | ||||||||
\(43\) | 7.35785 | 1.12206 | 0.561031 | − | 0.827795i | \(-0.310405\pi\) | ||||
0.561031 | + | 0.827795i | \(0.310405\pi\) | |||||||
\(44\) | 3.52834 | 0.531918 | ||||||||
\(45\) | 6.91806 | 1.03128 | ||||||||
\(46\) | 9.73956 | 1.43602 | ||||||||
\(47\) | −6.54066 | −0.954054 | −0.477027 | − | 0.878889i | \(-0.658286\pi\) | ||||
−0.477027 | + | 0.878889i | \(0.658286\pi\) | |||||||
\(48\) | −29.3473 | −4.23592 | ||||||||
\(49\) | 3.11627 | 0.445181 | ||||||||
\(50\) | 7.90990 | 1.11863 | ||||||||
\(51\) | −18.3054 | −2.56328 | ||||||||
\(52\) | −8.18287 | −1.13476 | ||||||||
\(53\) | 11.8429 | 1.62675 | 0.813376 | − | 0.581738i | \(-0.197627\pi\) | ||||
0.813376 | + | 0.581738i | \(0.197627\pi\) | |||||||
\(54\) | 14.0387 | 1.91043 | ||||||||
\(55\) | 1.01098 | 0.136321 | ||||||||
\(56\) | −24.5300 | −3.27796 | ||||||||
\(57\) | −2.81028 | −0.372230 | ||||||||
\(58\) | −9.32839 | −1.22488 | ||||||||
\(59\) | 9.77617 | 1.27275 | 0.636375 | − | 0.771380i | \(-0.280433\pi\) | ||||
0.636375 | + | 0.771380i | \(0.280433\pi\) | |||||||
\(60\) | −19.5690 | −2.52635 | ||||||||
\(61\) | −6.93487 | −0.887919 | −0.443960 | − | 0.896047i | \(-0.646427\pi\) | ||||
−0.443960 | + | 0.896047i | \(0.646427\pi\) | |||||||
\(62\) | −8.59851 | −1.09201 | ||||||||
\(63\) | 15.5776 | 1.96259 | ||||||||
\(64\) | 10.8758 | 1.35948 | ||||||||
\(65\) | −2.34464 | −0.290817 | ||||||||
\(66\) | 5.29487 | 0.651753 | ||||||||
\(67\) | −8.41543 | −1.02811 | −0.514054 | − | 0.857758i | \(-0.671857\pi\) | ||||
−0.514054 | + | 0.857758i | \(0.671857\pi\) | |||||||
\(68\) | 32.1111 | 3.89404 | ||||||||
\(69\) | 10.3975 | 1.25172 | ||||||||
\(70\) | −11.8267 | −1.41356 | ||||||||
\(71\) | −12.7819 | −1.51693 | −0.758467 | − | 0.651711i | \(-0.774051\pi\) | ||||
−0.758467 | + | 0.651711i | \(0.774051\pi\) | |||||||
\(72\) | −37.7726 | −4.45154 | ||||||||
\(73\) | −12.4423 | −1.45627 | −0.728133 | − | 0.685436i | \(-0.759612\pi\) | ||||
−0.728133 | + | 0.685436i | \(0.759612\pi\) | |||||||
\(74\) | 25.2042 | 2.92993 | ||||||||
\(75\) | 8.44427 | 0.975060 | ||||||||
\(76\) | 4.92974 | 0.565480 | ||||||||
\(77\) | 2.27645 | 0.259425 | ||||||||
\(78\) | −12.2797 | −1.39041 | ||||||||
\(79\) | 6.26390 | 0.704744 | 0.352372 | − | 0.935860i | \(-0.385375\pi\) | ||||
0.352372 | + | 0.935860i | \(0.385375\pi\) | |||||||
\(80\) | 14.7507 | 1.64918 | ||||||||
\(81\) | 0.294134 | 0.0326816 | ||||||||
\(82\) | 1.87561 | 0.207126 | ||||||||
\(83\) | −13.2155 | −1.45059 | −0.725293 | − | 0.688440i | \(-0.758296\pi\) | ||||
−0.725293 | + | 0.688440i | \(0.758296\pi\) | |||||||
\(84\) | −44.0639 | −4.80777 | ||||||||
\(85\) | 9.20082 | 0.997969 | ||||||||
\(86\) | −19.3691 | −2.08862 | ||||||||
\(87\) | −9.95858 | −1.06767 | ||||||||
\(88\) | −5.51994 | −0.588428 | ||||||||
\(89\) | 7.34484 | 0.778551 | 0.389276 | − | 0.921121i | \(-0.372725\pi\) | ||||
0.389276 | + | 0.921121i | \(0.372725\pi\) | |||||||
\(90\) | −18.2114 | −1.91965 | ||||||||
\(91\) | −5.27949 | −0.553441 | ||||||||
\(92\) | −18.2392 | −1.90156 | ||||||||
\(93\) | −9.17939 | −0.951859 | ||||||||
\(94\) | 17.2179 | 1.77589 | ||||||||
\(95\) | 1.41252 | 0.144922 | ||||||||
\(96\) | 33.9072 | 3.46064 | ||||||||
\(97\) | −18.8104 | −1.90991 | −0.954955 | − | 0.296751i | \(-0.904097\pi\) | ||||
−0.954955 | + | 0.296751i | \(0.904097\pi\) | |||||||
\(98\) | −8.20339 | −0.828667 | ||||||||
\(99\) | 3.50539 | 0.352305 | ||||||||
\(100\) | −14.8128 | −1.48128 | ||||||||
\(101\) | −7.17992 | −0.714429 | −0.357214 | − | 0.934022i | \(-0.616273\pi\) | ||||
−0.357214 | + | 0.934022i | \(0.616273\pi\) | |||||||
\(102\) | 48.1880 | 4.77132 | ||||||||
\(103\) | −10.8495 | −1.06903 | −0.534516 | − | 0.845158i | \(-0.679506\pi\) | ||||
−0.534516 | + | 0.845158i | \(0.679506\pi\) | |||||||
\(104\) | 12.8017 | 1.25531 | ||||||||
\(105\) | −12.6257 | −1.23214 | ||||||||
\(106\) | −31.1758 | −3.02806 | ||||||||
\(107\) | −9.49256 | −0.917681 | −0.458840 | − | 0.888519i | \(-0.651735\pi\) | ||||
−0.458840 | + | 0.888519i | \(0.651735\pi\) | |||||||
\(108\) | −26.2901 | −2.52977 | ||||||||
\(109\) | −19.3232 | −1.85083 | −0.925413 | − | 0.378961i | \(-0.876282\pi\) | ||||
−0.925413 | + | 0.378961i | \(0.876282\pi\) | |||||||
\(110\) | −2.66134 | −0.253749 | ||||||||
\(111\) | 26.9069 | 2.55389 | ||||||||
\(112\) | 33.2146 | 3.13848 | ||||||||
\(113\) | −4.78346 | −0.449990 | −0.224995 | − | 0.974360i | \(-0.572237\pi\) | ||||
−0.224995 | + | 0.974360i | \(0.572237\pi\) | |||||||
\(114\) | 7.39789 | 0.692876 | ||||||||
\(115\) | −5.22608 | −0.487335 | ||||||||
\(116\) | 17.4692 | 1.62197 | ||||||||
\(117\) | −8.12963 | −0.751584 | ||||||||
\(118\) | −25.7352 | −2.36912 | ||||||||
\(119\) | 20.7177 | 1.89919 | ||||||||
\(120\) | 30.6148 | 2.79474 | ||||||||
\(121\) | −10.4877 | −0.953430 | ||||||||
\(122\) | 18.2556 | 1.65279 | ||||||||
\(123\) | 2.00232 | 0.180543 | ||||||||
\(124\) | 16.1023 | 1.44603 | ||||||||
\(125\) | −11.3069 | −1.01132 | ||||||||
\(126\) | −41.0070 | −3.65319 | ||||||||
\(127\) | −15.9080 | −1.41160 | −0.705802 | − | 0.708410i | \(-0.749413\pi\) | ||||
−0.705802 | + | 0.708410i | \(0.749413\pi\) | |||||||
\(128\) | −4.49912 | −0.397670 | ||||||||
\(129\) | −20.6776 | −1.82056 | ||||||||
\(130\) | 6.17213 | 0.541332 | ||||||||
\(131\) | −19.7689 | −1.72722 | −0.863609 | − | 0.504162i | \(-0.831801\pi\) | ||||
−0.863609 | + | 0.504162i | \(0.831801\pi\) | |||||||
\(132\) | −9.91563 | −0.863045 | ||||||||
\(133\) | 3.18061 | 0.275794 | ||||||||
\(134\) | 22.1531 | 1.91374 | ||||||||
\(135\) | −7.53294 | −0.648332 | ||||||||
\(136\) | −50.2364 | −4.30773 | ||||||||
\(137\) | 22.8533 | 1.95249 | 0.976243 | − | 0.216678i | \(-0.0695223\pi\) | ||||
0.976243 | + | 0.216678i | \(0.0695223\pi\) | |||||||
\(138\) | −27.3709 | −2.32996 | ||||||||
\(139\) | 13.7757 | 1.16844 | 0.584220 | − | 0.811595i | \(-0.301401\pi\) | ||||
0.584220 | + | 0.811595i | \(0.301401\pi\) | |||||||
\(140\) | 22.1477 | 1.87183 | ||||||||
\(141\) | 18.3811 | 1.54797 | ||||||||
\(142\) | 33.6476 | 2.82365 | ||||||||
\(143\) | −1.18803 | −0.0993484 | ||||||||
\(144\) | 51.1455 | 4.26213 | ||||||||
\(145\) | 5.00546 | 0.415680 | ||||||||
\(146\) | 32.7537 | 2.71072 | ||||||||
\(147\) | −8.75758 | −0.722313 | ||||||||
\(148\) | −47.1997 | −3.87979 | ||||||||
\(149\) | −14.9659 | −1.22606 | −0.613028 | − | 0.790061i | \(-0.710049\pi\) | ||||
−0.613028 | + | 0.790061i | \(0.710049\pi\) | |||||||
\(150\) | −22.2290 | −1.81499 | ||||||||
\(151\) | 8.62263 | 0.701700 | 0.350850 | − | 0.936432i | \(-0.385893\pi\) | ||||
0.350850 | + | 0.936432i | \(0.385893\pi\) | |||||||
\(152\) | −7.71236 | −0.625555 | ||||||||
\(153\) | 31.9022 | 2.57914 | ||||||||
\(154\) | −5.99261 | −0.482898 | ||||||||
\(155\) | 4.61381 | 0.370590 | ||||||||
\(156\) | 22.9961 | 1.84116 | ||||||||
\(157\) | −3.78409 | −0.302003 | −0.151002 | − | 0.988534i | \(-0.548250\pi\) | ||||
−0.151002 | + | 0.988534i | \(0.548250\pi\) | |||||||
\(158\) | −16.4893 | −1.31182 | ||||||||
\(159\) | −33.2820 | −2.63943 | ||||||||
\(160\) | −17.0427 | −1.34734 | ||||||||
\(161\) | −11.7677 | −0.927423 | ||||||||
\(162\) | −0.774291 | −0.0608340 | ||||||||
\(163\) | 6.30973 | 0.494216 | 0.247108 | − | 0.968988i | \(-0.420520\pi\) | ||||
0.247108 | + | 0.968988i | \(0.420520\pi\) | |||||||
\(164\) | −3.51243 | −0.274275 | ||||||||
\(165\) | −2.84114 | −0.221182 | ||||||||
\(166\) | 34.7889 | 2.70014 | ||||||||
\(167\) | −7.22888 | −0.559388 | −0.279694 | − | 0.960089i | \(-0.590233\pi\) | ||||
−0.279694 | + | 0.960089i | \(0.590233\pi\) | |||||||
\(168\) | 68.9361 | 5.31854 | ||||||||
\(169\) | −10.2447 | −0.788057 | ||||||||
\(170\) | −24.2206 | −1.85763 | ||||||||
\(171\) | 4.89767 | 0.374534 | ||||||||
\(172\) | 36.2723 | 2.76573 | ||||||||
\(173\) | −6.17205 | −0.469252 | −0.234626 | − | 0.972086i | \(-0.575387\pi\) | ||||
−0.234626 | + | 0.972086i | \(0.575387\pi\) | |||||||
\(174\) | 26.2154 | 1.98738 | ||||||||
\(175\) | −9.55703 | −0.722443 | ||||||||
\(176\) | 7.47422 | 0.563390 | ||||||||
\(177\) | −27.4738 | −2.06506 | ||||||||
\(178\) | −19.3348 | −1.44921 | ||||||||
\(179\) | 22.5154 | 1.68288 | 0.841439 | − | 0.540353i | \(-0.181709\pi\) | ||||
0.841439 | + | 0.540353i | \(0.181709\pi\) | |||||||
\(180\) | 34.1042 | 2.54198 | ||||||||
\(181\) | 9.31404 | 0.692307 | 0.346153 | − | 0.938178i | \(-0.387488\pi\) | ||||
0.346153 | + | 0.938178i | \(0.387488\pi\) | |||||||
\(182\) | 13.8979 | 1.03018 | ||||||||
\(183\) | 19.4889 | 1.44066 | ||||||||
\(184\) | 28.5344 | 2.10358 | ||||||||
\(185\) | −13.5242 | −0.994316 | ||||||||
\(186\) | 24.1642 | 1.77181 | ||||||||
\(187\) | 4.66206 | 0.340924 | ||||||||
\(188\) | −32.2437 | −2.35162 | ||||||||
\(189\) | −16.9621 | −1.23381 | ||||||||
\(190\) | −3.71838 | −0.269760 | ||||||||
\(191\) | 5.05103 | 0.365480 | 0.182740 | − | 0.983161i | \(-0.441503\pi\) | ||||
0.182740 | + | 0.983161i | \(0.441503\pi\) | |||||||
\(192\) | −30.5641 | −2.20578 | ||||||||
\(193\) | −7.73714 | −0.556931 | −0.278466 | − | 0.960446i | \(-0.589826\pi\) | ||||
−0.278466 | + | 0.960446i | \(0.589826\pi\) | |||||||
\(194\) | 49.5173 | 3.55514 | ||||||||
\(195\) | 6.58910 | 0.471855 | ||||||||
\(196\) | 15.3624 | 1.09731 | ||||||||
\(197\) | 11.6252 | 0.828264 | 0.414132 | − | 0.910217i | \(-0.364085\pi\) | ||||
0.414132 | + | 0.910217i | \(0.364085\pi\) | |||||||
\(198\) | −9.22773 | −0.655786 | ||||||||
\(199\) | 7.92663 | 0.561904 | 0.280952 | − | 0.959722i | \(-0.409350\pi\) | ||||
0.280952 | + | 0.959722i | \(0.409350\pi\) | |||||||
\(200\) | 23.1739 | 1.63865 | ||||||||
\(201\) | 23.6497 | 1.66812 | ||||||||
\(202\) | 18.9007 | 1.32985 | ||||||||
\(203\) | 11.2709 | 0.791062 | ||||||||
\(204\) | −90.2411 | −6.31814 | ||||||||
\(205\) | −1.00642 | −0.0702914 | ||||||||
\(206\) | 28.5606 | 1.98991 | ||||||||
\(207\) | −18.1205 | −1.25946 | ||||||||
\(208\) | −17.3341 | −1.20190 | ||||||||
\(209\) | 0.715727 | 0.0495078 | ||||||||
\(210\) | 33.2364 | 2.29353 | ||||||||
\(211\) | 0.894548 | 0.0615832 | 0.0307916 | − | 0.999526i | \(-0.490197\pi\) | ||||
0.0307916 | + | 0.999526i | \(0.490197\pi\) | |||||||
\(212\) | 58.3826 | 4.00973 | ||||||||
\(213\) | 35.9207 | 2.46125 | ||||||||
\(214\) | 24.9886 | 1.70819 | ||||||||
\(215\) | 10.3931 | 0.708805 | ||||||||
\(216\) | 41.1298 | 2.79853 | ||||||||
\(217\) | 10.3890 | 0.705253 | ||||||||
\(218\) | 50.8671 | 3.44516 | ||||||||
\(219\) | 34.9664 | 2.36281 | ||||||||
\(220\) | 4.98387 | 0.336012 | ||||||||
\(221\) | −10.8122 | −0.727305 | ||||||||
\(222\) | −70.8309 | −4.75386 | ||||||||
\(223\) | −19.5787 | −1.31109 | −0.655544 | − | 0.755157i | \(-0.727561\pi\) | ||||
−0.655544 | + | 0.755157i | \(0.727561\pi\) | |||||||
\(224\) | −38.3754 | −2.56406 | ||||||||
\(225\) | −14.7164 | −0.981094 | ||||||||
\(226\) | 12.5922 | 0.837619 | ||||||||
\(227\) | 14.0467 | 0.932310 | 0.466155 | − | 0.884703i | \(-0.345639\pi\) | ||||
0.466155 | + | 0.884703i | \(0.345639\pi\) | |||||||
\(228\) | −13.8539 | −0.917499 | ||||||||
\(229\) | −2.18964 | −0.144696 | −0.0723478 | − | 0.997379i | \(-0.523049\pi\) | ||||
−0.0723478 | + | 0.997379i | \(0.523049\pi\) | |||||||
\(230\) | 13.7573 | 0.907132 | ||||||||
\(231\) | −6.39745 | −0.420921 | ||||||||
\(232\) | −27.3297 | −1.79428 | ||||||||
\(233\) | −20.6099 | −1.35020 | −0.675100 | − | 0.737726i | \(-0.735900\pi\) | ||||
−0.675100 | + | 0.737726i | \(0.735900\pi\) | |||||||
\(234\) | 21.4008 | 1.39901 | ||||||||
\(235\) | −9.23883 | −0.602675 | ||||||||
\(236\) | 48.1940 | 3.13716 | ||||||||
\(237\) | −17.6033 | −1.14346 | ||||||||
\(238\) | −54.5380 | −3.53518 | ||||||||
\(239\) | 11.2709 | 0.729055 | 0.364528 | − | 0.931193i | \(-0.381230\pi\) | ||||
0.364528 | + | 0.931193i | \(0.381230\pi\) | |||||||
\(240\) | −41.4537 | −2.67583 | ||||||||
\(241\) | 20.6022 | 1.32711 | 0.663554 | − | 0.748129i | \(-0.269047\pi\) | ||||
0.663554 | + | 0.748129i | \(0.269047\pi\) | |||||||
\(242\) | 27.6083 | 1.77473 | ||||||||
\(243\) | 15.1723 | 0.973304 | ||||||||
\(244\) | −34.1871 | −2.18860 | ||||||||
\(245\) | 4.40180 | 0.281221 | ||||||||
\(246\) | −5.27098 | −0.336065 | ||||||||
\(247\) | −1.65990 | −0.105617 | ||||||||
\(248\) | −25.1914 | −1.59965 | ||||||||
\(249\) | 37.1391 | 2.35360 | ||||||||
\(250\) | 29.7648 | 1.88249 | ||||||||
\(251\) | 14.0783 | 0.888613 | 0.444306 | − | 0.895875i | \(-0.353450\pi\) | ||||
0.444306 | + | 0.895875i | \(0.353450\pi\) | |||||||
\(252\) | 76.7933 | 4.83752 | ||||||||
\(253\) | −2.64806 | −0.166482 | ||||||||
\(254\) | 41.8767 | 2.62758 | ||||||||
\(255\) | −25.8569 | −1.61922 | ||||||||
\(256\) | −9.90802 | −0.619251 | ||||||||
\(257\) | −20.7435 | −1.29395 | −0.646973 | − | 0.762513i | \(-0.723965\pi\) | ||||
−0.646973 | + | 0.762513i | \(0.723965\pi\) | |||||||
\(258\) | 54.4325 | 3.38882 | ||||||||
\(259\) | −30.4527 | −1.89224 | ||||||||
\(260\) | −11.5585 | −0.716827 | ||||||||
\(261\) | 17.3555 | 1.07428 | ||||||||
\(262\) | 52.0405 | 3.21507 | ||||||||
\(263\) | −9.00380 | −0.555198 | −0.277599 | − | 0.960697i | \(-0.589539\pi\) | ||||
−0.277599 | + | 0.960697i | \(0.589539\pi\) | |||||||
\(264\) | 15.5126 | 0.954733 | ||||||||
\(265\) | 16.7284 | 1.02762 | ||||||||
\(266\) | −8.37276 | −0.513367 | ||||||||
\(267\) | −20.6410 | −1.26321 | ||||||||
\(268\) | −41.4858 | −2.53415 | ||||||||
\(269\) | −11.4408 | −0.697558 | −0.348779 | − | 0.937205i | \(-0.613404\pi\) | ||||
−0.348779 | + | 0.937205i | \(0.613404\pi\) | |||||||
\(270\) | 19.8300 | 1.20682 | ||||||||
\(271\) | 3.48533 | 0.211719 | 0.105859 | − | 0.994381i | \(-0.466241\pi\) | ||||
0.105859 | + | 0.994381i | \(0.466241\pi\) | |||||||
\(272\) | 68.0220 | 4.12444 | ||||||||
\(273\) | 14.8368 | 0.897966 | ||||||||
\(274\) | −60.1598 | −3.63439 | ||||||||
\(275\) | −2.15060 | −0.129686 | ||||||||
\(276\) | 51.2571 | 3.08531 | ||||||||
\(277\) | −25.6648 | −1.54205 | −0.771025 | − | 0.636805i | \(-0.780256\pi\) | ||||
−0.771025 | + | 0.636805i | \(0.780256\pi\) | |||||||
\(278\) | −36.2637 | −2.17495 | ||||||||
\(279\) | 15.9976 | 0.957749 | ||||||||
\(280\) | −34.6492 | −2.07068 | ||||||||
\(281\) | 5.41233 | 0.322872 | 0.161436 | − | 0.986883i | \(-0.448387\pi\) | ||||
0.161436 | + | 0.986883i | \(0.448387\pi\) | |||||||
\(282\) | −48.3871 | −2.88141 | ||||||||
\(283\) | 19.0675 | 1.13344 | 0.566722 | − | 0.823909i | \(-0.308211\pi\) | ||||
0.566722 | + | 0.823909i | \(0.308211\pi\) | |||||||
\(284\) | −63.0115 | −3.73904 | ||||||||
\(285\) | −3.96958 | −0.235138 | ||||||||
\(286\) | 3.12743 | 0.184929 | ||||||||
\(287\) | −2.26618 | −0.133768 | ||||||||
\(288\) | −59.0924 | −3.48206 | ||||||||
\(289\) | 25.4289 | 1.49582 | ||||||||
\(290\) | −13.1766 | −0.773754 | ||||||||
\(291\) | 52.8625 | 3.09886 | ||||||||
\(292\) | −61.3375 | −3.58950 | ||||||||
\(293\) | 15.4819 | 0.904461 | 0.452230 | − | 0.891901i | \(-0.350628\pi\) | ||||
0.452230 | + | 0.891901i | \(0.350628\pi\) | |||||||
\(294\) | 23.0538 | 1.34453 | ||||||||
\(295\) | 13.8091 | 0.803995 | ||||||||
\(296\) | 73.8418 | 4.29197 | ||||||||
\(297\) | −3.81695 | −0.221482 | ||||||||
\(298\) | 39.3969 | 2.28220 | ||||||||
\(299\) | 6.14133 | 0.355162 | ||||||||
\(300\) | 41.6280 | 2.40340 | ||||||||
\(301\) | 23.4024 | 1.34889 | ||||||||
\(302\) | −22.6986 | −1.30615 | ||||||||
\(303\) | 20.1776 | 1.15917 | ||||||||
\(304\) | 10.4428 | 0.598938 | ||||||||
\(305\) | −9.79566 | −0.560898 | ||||||||
\(306\) | −83.9805 | −4.80085 | ||||||||
\(307\) | −29.2918 | −1.67177 | −0.835886 | − | 0.548903i | \(-0.815046\pi\) | ||||
−0.835886 | + | 0.548903i | \(0.815046\pi\) | |||||||
\(308\) | 11.2223 | 0.639449 | ||||||||
\(309\) | 30.4901 | 1.73452 | ||||||||
\(310\) | −12.1456 | −0.689823 | ||||||||
\(311\) | −7.88718 | −0.447241 | −0.223621 | − | 0.974676i | \(-0.571788\pi\) | ||||
−0.223621 | + | 0.974676i | \(0.571788\pi\) | |||||||
\(312\) | −35.9764 | −2.03676 | ||||||||
\(313\) | −30.9158 | −1.74746 | −0.873731 | − | 0.486409i | \(-0.838306\pi\) | ||||
−0.873731 | + | 0.486409i | \(0.838306\pi\) | |||||||
\(314\) | 9.96139 | 0.562154 | ||||||||
\(315\) | 22.0036 | 1.23977 | ||||||||
\(316\) | 30.8794 | 1.73710 | ||||||||
\(317\) | 1.00000 | 0.0561656 | ||||||||
\(318\) | 87.6127 | 4.91308 | ||||||||
\(319\) | 2.53627 | 0.142004 | ||||||||
\(320\) | 15.3624 | 0.858782 | ||||||||
\(321\) | 26.6767 | 1.48895 | ||||||||
\(322\) | 30.9777 | 1.72632 | ||||||||
\(323\) | 6.51375 | 0.362435 | ||||||||
\(324\) | 1.45001 | 0.0805559 | ||||||||
\(325\) | 4.98763 | 0.276664 | ||||||||
\(326\) | −16.6100 | −0.919942 | ||||||||
\(327\) | 54.3035 | 3.00299 | ||||||||
\(328\) | 5.49504 | 0.303413 | ||||||||
\(329\) | −20.8033 | −1.14692 | ||||||||
\(330\) | 7.47912 | 0.411712 | ||||||||
\(331\) | 1.22825 | 0.0675110 | 0.0337555 | − | 0.999430i | \(-0.489253\pi\) | ||||
0.0337555 | + | 0.999430i | \(0.489253\pi\) | |||||||
\(332\) | −65.1488 | −3.57550 | ||||||||
\(333\) | −46.8926 | −2.56970 | ||||||||
\(334\) | 19.0296 | 1.04125 | ||||||||
\(335\) | −11.8870 | −0.649455 | ||||||||
\(336\) | −93.3422 | −5.09224 | ||||||||
\(337\) | 8.54164 | 0.465293 | 0.232646 | − | 0.972561i | \(-0.425262\pi\) | ||||
0.232646 | + | 0.972561i | \(0.425262\pi\) | |||||||
\(338\) | 26.9686 | 1.46690 | ||||||||
\(339\) | 13.4429 | 0.730116 | ||||||||
\(340\) | 45.3576 | 2.45986 | ||||||||
\(341\) | 2.33782 | 0.126600 | ||||||||
\(342\) | −12.8928 | −0.697163 | ||||||||
\(343\) | −12.3526 | −0.666979 | ||||||||
\(344\) | −56.7463 | −3.05956 | ||||||||
\(345\) | 14.6867 | 0.790708 | ||||||||
\(346\) | 16.2475 | 0.873474 | ||||||||
\(347\) | −19.9934 | −1.07330 | −0.536651 | − | 0.843804i | \(-0.680311\pi\) | ||||
−0.536651 | + | 0.843804i | \(0.680311\pi\) | |||||||
\(348\) | −49.0932 | −2.63167 | ||||||||
\(349\) | 23.3115 | 1.24783 | 0.623917 | − | 0.781490i | \(-0.285540\pi\) | ||||
0.623917 | + | 0.781490i | \(0.285540\pi\) | |||||||
\(350\) | 25.1583 | 1.34477 | ||||||||
\(351\) | 8.85219 | 0.472495 | ||||||||
\(352\) | −8.63555 | −0.460276 | ||||||||
\(353\) | 21.9043 | 1.16585 | 0.582923 | − | 0.812527i | \(-0.301909\pi\) | ||||
0.582923 | + | 0.812527i | \(0.301909\pi\) | |||||||
\(354\) | 72.3230 | 3.84393 | ||||||||
\(355\) | −18.0547 | −0.958246 | ||||||||
\(356\) | 36.2081 | 1.91903 | ||||||||
\(357\) | −58.2225 | −3.08146 | ||||||||
\(358\) | −59.2703 | −3.13253 | ||||||||
\(359\) | 22.4398 | 1.18433 | 0.592164 | − | 0.805817i | \(-0.298274\pi\) | ||||
0.592164 | + | 0.805817i | \(0.298274\pi\) | |||||||
\(360\) | −53.3546 | −2.81203 | ||||||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | −24.5186 | −1.28867 | ||||||||
\(363\) | 29.4735 | 1.54696 | ||||||||
\(364\) | −26.0265 | −1.36416 | ||||||||
\(365\) | −17.5751 | −0.919922 | ||||||||
\(366\) | −51.3034 | −2.68167 | ||||||||
\(367\) | 4.03893 | 0.210830 | 0.105415 | − | 0.994428i | \(-0.466383\pi\) | ||||
0.105415 | + | 0.994428i | \(0.466383\pi\) | |||||||
\(368\) | −38.6366 | −2.01407 | ||||||||
\(369\) | −3.48958 | −0.181660 | ||||||||
\(370\) | 35.6015 | 1.85084 | ||||||||
\(371\) | 37.6677 | 1.95561 | ||||||||
\(372\) | −45.2520 | −2.34621 | ||||||||
\(373\) | −4.86841 | −0.252077 | −0.126038 | − | 0.992025i | \(-0.540226\pi\) | ||||
−0.126038 | + | 0.992025i | \(0.540226\pi\) | |||||||
\(374\) | −12.2726 | −0.634601 | ||||||||
\(375\) | 31.7756 | 1.64089 | ||||||||
\(376\) | 50.4439 | 2.60145 | ||||||||
\(377\) | −5.88206 | −0.302942 | ||||||||
\(378\) | 44.6517 | 2.29663 | ||||||||
\(379\) | 16.0300 | 0.823404 | 0.411702 | − | 0.911319i | \(-0.364934\pi\) | ||||
0.411702 | + | 0.911319i | \(0.364934\pi\) | |||||||
\(380\) | 6.96337 | 0.357213 | ||||||||
\(381\) | 44.7058 | 2.29035 | ||||||||
\(382\) | −13.2965 | −0.680310 | ||||||||
\(383\) | 12.0472 | 0.615582 | 0.307791 | − | 0.951454i | \(-0.400410\pi\) | ||||
0.307791 | + | 0.951454i | \(0.400410\pi\) | |||||||
\(384\) | 12.6438 | 0.645225 | ||||||||
\(385\) | 3.21553 | 0.163879 | ||||||||
\(386\) | 20.3676 | 1.03668 | ||||||||
\(387\) | 36.0363 | 1.83183 | ||||||||
\(388\) | −92.7305 | −4.70768 | ||||||||
\(389\) | −27.3646 | −1.38744 | −0.693720 | − | 0.720244i | \(-0.744030\pi\) | ||||
−0.693720 | + | 0.720244i | \(0.744030\pi\) | |||||||
\(390\) | −17.3454 | −0.878319 | ||||||||
\(391\) | −24.0997 | −1.21877 | ||||||||
\(392\) | −24.0338 | −1.21389 | ||||||||
\(393\) | 55.5562 | 2.80244 | ||||||||
\(394\) | −30.6027 | −1.54174 | ||||||||
\(395\) | 8.84790 | 0.445186 | ||||||||
\(396\) | 17.2807 | 0.868386 | ||||||||
\(397\) | −28.2590 | −1.41828 | −0.709139 | − | 0.705069i | \(-0.750916\pi\) | ||||
−0.709139 | + | 0.705069i | \(0.750916\pi\) | |||||||
\(398\) | −20.8664 | −1.04594 | ||||||||
\(399\) | −8.93840 | −0.447479 | ||||||||
\(400\) | −31.3784 | −1.56892 | ||||||||
\(401\) | 8.75871 | 0.437389 | 0.218694 | − | 0.975793i | \(-0.429820\pi\) | ||||
0.218694 | + | 0.975793i | \(0.429820\pi\) | |||||||
\(402\) | −62.2564 | −3.10507 | ||||||||
\(403\) | −5.42183 | −0.270081 | ||||||||
\(404\) | −35.3951 | −1.76097 | ||||||||
\(405\) | 0.415471 | 0.0206449 | ||||||||
\(406\) | −29.6699 | −1.47249 | ||||||||
\(407\) | −6.85271 | −0.339676 | ||||||||
\(408\) | 141.178 | 6.98936 | ||||||||
\(409\) | −18.9117 | −0.935123 | −0.467561 | − | 0.883961i | \(-0.654867\pi\) | ||||
−0.467561 | + | 0.883961i | \(0.654867\pi\) | |||||||
\(410\) | 2.64934 | 0.130841 | ||||||||
\(411\) | −64.2240 | −3.16794 | ||||||||
\(412\) | −53.4852 | −2.63502 | ||||||||
\(413\) | 31.0942 | 1.53004 | ||||||||
\(414\) | 47.7011 | 2.34438 | ||||||||
\(415\) | −18.6671 | −0.916334 | ||||||||
\(416\) | 20.0274 | 0.981924 | ||||||||
\(417\) | −38.7136 | −1.89581 | ||||||||
\(418\) | −1.88411 | −0.0921547 | ||||||||
\(419\) | −22.1120 | −1.08024 | −0.540122 | − | 0.841587i | \(-0.681622\pi\) | ||||
−0.540122 | + | 0.841587i | \(0.681622\pi\) | |||||||
\(420\) | −62.2413 | −3.03707 | ||||||||
\(421\) | 8.66910 | 0.422506 | 0.211253 | − | 0.977431i | \(-0.432246\pi\) | ||||
0.211253 | + | 0.977431i | \(0.432246\pi\) | |||||||
\(422\) | −2.35484 | −0.114632 | ||||||||
\(423\) | −32.0340 | −1.55755 | ||||||||
\(424\) | −91.3370 | −4.43572 | ||||||||
\(425\) | −19.5724 | −0.949400 | ||||||||
\(426\) | −94.5592 | −4.58141 | ||||||||
\(427\) | −22.0571 | −1.06742 | ||||||||
\(428\) | −46.7958 | −2.26196 | ||||||||
\(429\) | 3.33871 | 0.161194 | ||||||||
\(430\) | −27.3593 | −1.31938 | ||||||||
\(431\) | −14.7810 | −0.711975 | −0.355987 | − | 0.934491i | \(-0.615855\pi\) | ||||
−0.355987 | + | 0.934491i | \(0.615855\pi\) | |||||||
\(432\) | −55.6914 | −2.67945 | ||||||||
\(433\) | 15.2884 | 0.734714 | 0.367357 | − | 0.930080i | \(-0.380263\pi\) | ||||
0.367357 | + | 0.930080i | \(0.380263\pi\) | |||||||
\(434\) | −27.3485 | −1.31277 | ||||||||
\(435\) | −14.0667 | −0.674448 | ||||||||
\(436\) | −95.2582 | −4.56204 | ||||||||
\(437\) | −3.69982 | −0.176986 | ||||||||
\(438\) | −92.0471 | −4.39818 | ||||||||
\(439\) | −12.4427 | −0.593858 | −0.296929 | − | 0.954900i | \(-0.595962\pi\) | ||||
−0.296929 | + | 0.954900i | \(0.595962\pi\) | |||||||
\(440\) | −7.79704 | −0.371709 | ||||||||
\(441\) | 15.2624 | 0.726783 | ||||||||
\(442\) | 28.4624 | 1.35382 | ||||||||
\(443\) | 13.7563 | 0.653583 | 0.326792 | − | 0.945096i | \(-0.394032\pi\) | ||||
0.326792 | + | 0.945096i | \(0.394032\pi\) | |||||||
\(444\) | 132.644 | 6.29501 | ||||||||
\(445\) | 10.3747 | 0.491810 | ||||||||
\(446\) | 51.5398 | 2.44048 | ||||||||
\(447\) | 42.0584 | 1.98930 | ||||||||
\(448\) | 34.5918 | 1.63431 | ||||||||
\(449\) | −26.6703 | −1.25865 | −0.629324 | − | 0.777143i | \(-0.716668\pi\) | ||||
−0.629324 | + | 0.777143i | \(0.716668\pi\) | |||||||
\(450\) | 38.7401 | 1.82622 | ||||||||
\(451\) | −0.509954 | −0.0240128 | ||||||||
\(452\) | −23.5812 | −1.10917 | ||||||||
\(453\) | −24.2320 | −1.13852 | ||||||||
\(454\) | −36.9770 | −1.73542 | ||||||||
\(455\) | −7.45739 | −0.349608 | ||||||||
\(456\) | 21.6739 | 1.01497 | ||||||||
\(457\) | 24.7435 | 1.15745 | 0.578726 | − | 0.815522i | \(-0.303550\pi\) | ||||
0.578726 | + | 0.815522i | \(0.303550\pi\) | |||||||
\(458\) | 5.76410 | 0.269339 | ||||||||
\(459\) | −34.7376 | −1.62141 | ||||||||
\(460\) | −25.7632 | −1.20122 | ||||||||
\(461\) | 27.5042 | 1.28100 | 0.640499 | − | 0.767959i | \(-0.278728\pi\) | ||||
0.640499 | + | 0.767959i | \(0.278728\pi\) | |||||||
\(462\) | 16.8409 | 0.783509 | ||||||||
\(463\) | −12.1842 | −0.566247 | −0.283123 | − | 0.959083i | \(-0.591371\pi\) | ||||
−0.283123 | + | 0.959083i | \(0.591371\pi\) | |||||||
\(464\) | 37.0055 | 1.71794 | ||||||||
\(465\) | −12.9661 | −0.601289 | ||||||||
\(466\) | 54.2543 | 2.51328 | ||||||||
\(467\) | 23.2657 | 1.07661 | 0.538305 | − | 0.842750i | \(-0.319065\pi\) | ||||
0.538305 | + | 0.842750i | \(0.319065\pi\) | |||||||
\(468\) | −40.0769 | −1.85256 | ||||||||
\(469\) | −26.7662 | −1.23595 | ||||||||
\(470\) | 24.3207 | 1.12183 | ||||||||
\(471\) | 10.6343 | 0.490005 | ||||||||
\(472\) | −75.3974 | −3.47044 | ||||||||
\(473\) | 5.26621 | 0.242140 | ||||||||
\(474\) | 46.3397 | 2.12845 | ||||||||
\(475\) | −3.00478 | −0.137869 | ||||||||
\(476\) | 102.133 | 4.68125 | ||||||||
\(477\) | 58.0028 | 2.65576 | ||||||||
\(478\) | −29.6700 | −1.35708 | ||||||||
\(479\) | −22.7752 | −1.04063 | −0.520313 | − | 0.853976i | \(-0.674185\pi\) | ||||
−0.520313 | + | 0.853976i | \(0.674185\pi\) | |||||||
\(480\) | 47.8947 | 2.18608 | ||||||||
\(481\) | 15.8927 | 0.724643 | ||||||||
\(482\) | −54.2342 | −2.47030 | ||||||||
\(483\) | 33.0705 | 1.50476 | ||||||||
\(484\) | −51.7018 | −2.35008 | ||||||||
\(485\) | −26.5702 | −1.20649 | ||||||||
\(486\) | −39.9402 | −1.81172 | ||||||||
\(487\) | −7.69884 | −0.348868 | −0.174434 | − | 0.984669i | \(-0.555810\pi\) | ||||
−0.174434 | + | 0.984669i | \(0.555810\pi\) | |||||||
\(488\) | 53.4842 | 2.42112 | ||||||||
\(489\) | −17.7321 | −0.801874 | ||||||||
\(490\) | −11.5875 | −0.523469 | ||||||||
\(491\) | −28.5394 | −1.28797 | −0.643983 | − | 0.765040i | \(-0.722719\pi\) | ||||
−0.643983 | + | 0.765040i | \(0.722719\pi\) | |||||||
\(492\) | 9.87090 | 0.445015 | ||||||||
\(493\) | 23.0823 | 1.03957 | ||||||||
\(494\) | 4.36958 | 0.196597 | ||||||||
\(495\) | 4.95144 | 0.222551 | ||||||||
\(496\) | 34.1101 | 1.53159 | ||||||||
\(497\) | −40.6543 | −1.82359 | ||||||||
\(498\) | −97.7665 | −4.38102 | ||||||||
\(499\) | 12.4670 | 0.558100 | 0.279050 | − | 0.960277i | \(-0.409980\pi\) | ||||
0.279050 | + | 0.960277i | \(0.409980\pi\) | |||||||
\(500\) | −55.7402 | −2.49278 | ||||||||
\(501\) | 20.3152 | 0.907615 | ||||||||
\(502\) | −37.0602 | −1.65408 | ||||||||
\(503\) | 13.8632 | 0.618130 | 0.309065 | − | 0.951041i | \(-0.399984\pi\) | ||||
0.309065 | + | 0.951041i | \(0.399984\pi\) | |||||||
\(504\) | −120.140 | −5.35145 | ||||||||
\(505\) | −10.1418 | −0.451304 | ||||||||
\(506\) | 6.97086 | 0.309893 | ||||||||
\(507\) | 28.7906 | 1.27863 | ||||||||
\(508\) | −78.4221 | −3.47942 | ||||||||
\(509\) | 26.3910 | 1.16976 | 0.584880 | − | 0.811120i | \(-0.301142\pi\) | ||||
0.584880 | + | 0.811120i | \(0.301142\pi\) | |||||||
\(510\) | 68.0666 | 3.01404 | ||||||||
\(511\) | −39.5742 | −1.75066 | ||||||||
\(512\) | 35.0805 | 1.55035 | ||||||||
\(513\) | −5.33297 | −0.235456 | ||||||||
\(514\) | 54.6061 | 2.40857 | ||||||||
\(515\) | −15.3252 | −0.675307 | ||||||||
\(516\) | −101.935 | −4.48744 | ||||||||
\(517\) | −4.68133 | −0.205884 | ||||||||
\(518\) | 80.1648 | 3.52224 | ||||||||
\(519\) | 17.3452 | 0.761369 | ||||||||
\(520\) | 18.0827 | 0.792980 | ||||||||
\(521\) | −11.2975 | −0.494952 | −0.247476 | − | 0.968894i | \(-0.579601\pi\) | ||||
−0.247476 | + | 0.968894i | \(0.579601\pi\) | |||||||
\(522\) | −45.6873 | −1.99968 | ||||||||
\(523\) | −10.6050 | −0.463723 | −0.231861 | − | 0.972749i | \(-0.574482\pi\) | ||||
−0.231861 | + | 0.972749i | \(0.574482\pi\) | |||||||
\(524\) | −97.4556 | −4.25737 | ||||||||
\(525\) | 26.8579 | 1.17218 | ||||||||
\(526\) | 23.7020 | 1.03345 | ||||||||
\(527\) | 21.2763 | 0.926809 | ||||||||
\(528\) | −21.0046 | −0.914110 | ||||||||
\(529\) | −9.31132 | −0.404840 | ||||||||
\(530\) | −44.0365 | −1.91283 | ||||||||
\(531\) | 47.8804 | 2.07783 | ||||||||
\(532\) | 15.6796 | 0.679795 | ||||||||
\(533\) | 1.18267 | 0.0512273 | ||||||||
\(534\) | 54.3363 | 2.35136 | ||||||||
\(535\) | −13.4085 | −0.579698 | ||||||||
\(536\) | 64.9028 | 2.80337 | ||||||||
\(537\) | −63.2744 | −2.73049 | ||||||||
\(538\) | 30.1172 | 1.29845 | ||||||||
\(539\) | 2.23040 | 0.0960700 | ||||||||
\(540\) | −37.1354 | −1.59805 | ||||||||
\(541\) | 13.5649 | 0.583202 | 0.291601 | − | 0.956540i | \(-0.405812\pi\) | ||||
0.291601 | + | 0.956540i | \(0.405812\pi\) | |||||||
\(542\) | −9.17493 | −0.394097 | ||||||||
\(543\) | −26.1750 | −1.12328 | ||||||||
\(544\) | −78.5912 | −3.36957 | ||||||||
\(545\) | −27.2944 | −1.16917 | ||||||||
\(546\) | −39.0571 | −1.67149 | ||||||||
\(547\) | 20.6344 | 0.882262 | 0.441131 | − | 0.897443i | \(-0.354577\pi\) | ||||
0.441131 | + | 0.897443i | \(0.354577\pi\) | |||||||
\(548\) | 112.661 | 4.81262 | ||||||||
\(549\) | −33.9647 | −1.44958 | ||||||||
\(550\) | 5.66133 | 0.241400 | ||||||||
\(551\) | 3.54363 | 0.150964 | ||||||||
\(552\) | −80.1895 | −3.41309 | ||||||||
\(553\) | 19.9230 | 0.847213 | ||||||||
\(554\) | 67.5611 | 2.87040 | ||||||||
\(555\) | 38.0067 | 1.61329 | ||||||||
\(556\) | 67.9106 | 2.88005 | ||||||||
\(557\) | 18.1345 | 0.768384 | 0.384192 | − | 0.923253i | \(-0.374480\pi\) | ||||
0.384192 | + | 0.923253i | \(0.374480\pi\) | |||||||
\(558\) | −42.1126 | −1.78277 | ||||||||
\(559\) | −12.2133 | −0.516567 | ||||||||
\(560\) | 46.9163 | 1.98258 | ||||||||
\(561\) | −13.1017 | −0.553154 | ||||||||
\(562\) | −14.2476 | −0.601000 | ||||||||
\(563\) | 20.3944 | 0.859522 | 0.429761 | − | 0.902943i | \(-0.358598\pi\) | ||||
0.429761 | + | 0.902943i | \(0.358598\pi\) | |||||||
\(564\) | 90.6139 | 3.81553 | ||||||||
\(565\) | −6.75675 | −0.284258 | ||||||||
\(566\) | −50.1940 | −2.10981 | ||||||||
\(567\) | 0.935526 | 0.0392884 | ||||||||
\(568\) | 98.5787 | 4.13627 | ||||||||
\(569\) | 6.42396 | 0.269307 | 0.134653 | − | 0.990893i | \(-0.457008\pi\) | ||||
0.134653 | + | 0.990893i | \(0.457008\pi\) | |||||||
\(570\) | 10.4497 | 0.437689 | ||||||||
\(571\) | −34.4955 | −1.44359 | −0.721795 | − | 0.692107i | \(-0.756683\pi\) | ||||
−0.721795 | + | 0.692107i | \(0.756683\pi\) | |||||||
\(572\) | −5.85669 | −0.244881 | ||||||||
\(573\) | −14.1948 | −0.592997 | ||||||||
\(574\) | 5.96557 | 0.248998 | ||||||||
\(575\) | 11.1172 | 0.463617 | ||||||||
\(576\) | 53.2662 | 2.21943 | ||||||||
\(577\) | −8.40107 | −0.349741 | −0.174871 | − | 0.984591i | \(-0.555951\pi\) | ||||
−0.174871 | + | 0.984591i | \(0.555951\pi\) | |||||||
\(578\) | −66.9401 | −2.78434 | ||||||||
\(579\) | 21.7435 | 0.903630 | ||||||||
\(580\) | 24.6756 | 1.02460 | ||||||||
\(581\) | −42.0332 | −1.74383 | ||||||||
\(582\) | −139.157 | −5.76826 | ||||||||
\(583\) | 8.47631 | 0.351053 | ||||||||
\(584\) | 95.9598 | 3.97084 | ||||||||
\(585\) | −11.4833 | −0.474775 | ||||||||
\(586\) | −40.7551 | −1.68358 | ||||||||
\(587\) | −11.9999 | −0.495287 | −0.247644 | − | 0.968851i | \(-0.579656\pi\) | ||||
−0.247644 | + | 0.968851i | \(0.579656\pi\) | |||||||
\(588\) | −43.1726 | −1.78041 | ||||||||
\(589\) | 3.26636 | 0.134588 | ||||||||
\(590\) | −36.3515 | −1.49657 | ||||||||
\(591\) | −32.6702 | −1.34387 | ||||||||
\(592\) | −99.9847 | −4.10935 | ||||||||
\(593\) | −11.2292 | −0.461126 | −0.230563 | − | 0.973057i | \(-0.574057\pi\) | ||||
−0.230563 | + | 0.973057i | \(0.574057\pi\) | |||||||
\(594\) | 10.0479 | 0.412270 | ||||||||
\(595\) | 29.2642 | 1.19971 | ||||||||
\(596\) | −73.7781 | −3.02207 | ||||||||
\(597\) | −22.2760 | −0.911697 | ||||||||
\(598\) | −16.1667 | −0.661105 | ||||||||
\(599\) | 27.2862 | 1.11489 | 0.557443 | − | 0.830215i | \(-0.311783\pi\) | ||||
0.557443 | + | 0.830215i | \(0.311783\pi\) | |||||||
\(600\) | −65.1252 | −2.65873 | ||||||||
\(601\) | −18.9471 | −0.772869 | −0.386434 | − | 0.922317i | \(-0.626293\pi\) | ||||
−0.386434 | + | 0.922317i | \(0.626293\pi\) | |||||||
\(602\) | −61.6055 | −2.51085 | ||||||||
\(603\) | −41.2159 | −1.67844 | ||||||||
\(604\) | 42.5073 | 1.72960 | ||||||||
\(605\) | −14.8142 | −0.602281 | ||||||||
\(606\) | −53.1162 | −2.15770 | ||||||||
\(607\) | 6.11590 | 0.248237 | 0.124118 | − | 0.992267i | \(-0.460390\pi\) | ||||
0.124118 | + | 0.992267i | \(0.460390\pi\) | |||||||
\(608\) | −12.0654 | −0.489318 | ||||||||
\(609\) | −31.6744 | −1.28351 | ||||||||
\(610\) | 25.7865 | 1.04406 | ||||||||
\(611\) | 10.8568 | 0.439221 | ||||||||
\(612\) | 157.269 | 6.35723 | ||||||||
\(613\) | −13.0910 | −0.528741 | −0.264371 | − | 0.964421i | \(-0.585164\pi\) | ||||
−0.264371 | + | 0.964421i | \(0.585164\pi\) | |||||||
\(614\) | 77.1089 | 3.11186 | ||||||||
\(615\) | 2.82832 | 0.114049 | ||||||||
\(616\) | −17.5568 | −0.707382 | ||||||||
\(617\) | 20.1244 | 0.810179 | 0.405089 | − | 0.914277i | \(-0.367240\pi\) | ||||
0.405089 | + | 0.914277i | \(0.367240\pi\) | |||||||
\(618\) | −80.2633 | −3.22867 | ||||||||
\(619\) | 22.5742 | 0.907332 | 0.453666 | − | 0.891172i | \(-0.350116\pi\) | ||||
0.453666 | + | 0.891172i | \(0.350116\pi\) | |||||||
\(620\) | 22.7449 | 0.913457 | ||||||||
\(621\) | 19.7310 | 0.791779 | ||||||||
\(622\) | 20.7625 | 0.832502 | ||||||||
\(623\) | 23.3610 | 0.935940 | ||||||||
\(624\) | 48.7135 | 1.95010 | ||||||||
\(625\) | −0.947396 | −0.0378958 | ||||||||
\(626\) | 81.3839 | 3.25275 | ||||||||
\(627\) | −2.01139 | −0.0803272 | ||||||||
\(628\) | −18.6546 | −0.744398 | ||||||||
\(629\) | −62.3657 | −2.48668 | ||||||||
\(630\) | −57.9233 | −2.30772 | ||||||||
\(631\) | 30.0327 | 1.19558 | 0.597791 | − | 0.801652i | \(-0.296045\pi\) | ||||
0.597791 | + | 0.801652i | \(0.296045\pi\) | |||||||
\(632\) | −48.3095 | −1.92165 | ||||||||
\(633\) | −2.51393 | −0.0999197 | ||||||||
\(634\) | −2.63244 | −0.104548 | ||||||||
\(635\) | −22.4704 | −0.891709 | ||||||||
\(636\) | −164.071 | −6.50585 | ||||||||
\(637\) | −5.17269 | −0.204949 | ||||||||
\(638\) | −6.67658 | −0.264328 | ||||||||
\(639\) | −62.6016 | −2.47648 | ||||||||
\(640\) | −6.35510 | −0.251208 | ||||||||
\(641\) | −8.06523 | −0.318557 | −0.159279 | − | 0.987234i | \(-0.550917\pi\) | ||||
−0.159279 | + | 0.987234i | \(0.550917\pi\) | |||||||
\(642\) | −70.2249 | −2.77156 | ||||||||
\(643\) | 15.4982 | 0.611189 | 0.305595 | − | 0.952162i | \(-0.401145\pi\) | ||||
0.305595 | + | 0.952162i | \(0.401145\pi\) | |||||||
\(644\) | −58.0116 | −2.28598 | ||||||||
\(645\) | −29.2076 | −1.15005 | ||||||||
\(646\) | −17.1470 | −0.674642 | ||||||||
\(647\) | 24.6254 | 0.968123 | 0.484061 | − | 0.875034i | \(-0.339161\pi\) | ||||
0.484061 | + | 0.875034i | \(0.339161\pi\) | |||||||
\(648\) | −2.26847 | −0.0891139 | ||||||||
\(649\) | 6.99707 | 0.274659 | ||||||||
\(650\) | −13.1296 | −0.514987 | ||||||||
\(651\) | −29.1961 | −1.14428 | ||||||||
\(652\) | 31.1053 | 1.21818 | ||||||||
\(653\) | 38.2044 | 1.49505 | 0.747526 | − | 0.664233i | \(-0.231242\pi\) | ||||
0.747526 | + | 0.664233i | \(0.231242\pi\) | |||||||
\(654\) | −142.951 | −5.58982 | ||||||||
\(655\) | −27.9240 | −1.09108 | ||||||||
\(656\) | −7.44050 | −0.290503 | ||||||||
\(657\) | −60.9384 | −2.37743 | ||||||||
\(658\) | 54.7634 | 2.13490 | ||||||||
\(659\) | 6.79851 | 0.264832 | 0.132416 | − | 0.991194i | \(-0.457726\pi\) | ||||
0.132416 | + | 0.991194i | \(0.457726\pi\) | |||||||
\(660\) | −14.0061 | −0.545185 | ||||||||
\(661\) | 26.3034 | 1.02308 | 0.511542 | − | 0.859258i | \(-0.329074\pi\) | ||||
0.511542 | + | 0.859258i | \(0.329074\pi\) | |||||||
\(662\) | −3.23330 | −0.125666 | ||||||||
\(663\) | 30.3852 | 1.18006 | ||||||||
\(664\) | 101.922 | 3.95536 | ||||||||
\(665\) | 4.49268 | 0.174219 | ||||||||
\(666\) | 123.442 | 4.78328 | ||||||||
\(667\) | −13.1108 | −0.507652 | ||||||||
\(668\) | −35.6365 | −1.37882 | ||||||||
\(669\) | 55.0216 | 2.12726 | ||||||||
\(670\) | 31.2917 | 1.20891 | ||||||||
\(671\) | −4.96347 | −0.191613 | ||||||||
\(672\) | 107.846 | 4.16023 | ||||||||
\(673\) | −37.5187 | −1.44624 | −0.723120 | − | 0.690722i | \(-0.757293\pi\) | ||||
−0.723120 | + | 0.690722i | \(0.757293\pi\) | |||||||
\(674\) | −22.4854 | −0.866104 | ||||||||
\(675\) | 16.0244 | 0.616780 | ||||||||
\(676\) | −50.5039 | −1.94246 | ||||||||
\(677\) | −32.0171 | −1.23052 | −0.615258 | − | 0.788326i | \(-0.710948\pi\) | ||||
−0.615258 | + | 0.788326i | \(0.710948\pi\) | |||||||
\(678\) | −35.3875 | −1.35905 | ||||||||
\(679\) | −59.8286 | −2.29601 | ||||||||
\(680\) | −70.9600 | −2.72119 | ||||||||
\(681\) | −39.4751 | −1.51269 | ||||||||
\(682\) | −6.15418 | −0.235656 | ||||||||
\(683\) | 37.8005 | 1.44639 | 0.723197 | − | 0.690642i | \(-0.242672\pi\) | ||||
0.723197 | + | 0.690642i | \(0.242672\pi\) | |||||||
\(684\) | 24.1442 | 0.923177 | ||||||||
\(685\) | 32.2808 | 1.23338 | ||||||||
\(686\) | 32.5175 | 1.24153 | ||||||||
\(687\) | 6.15350 | 0.234771 | ||||||||
\(688\) | 76.8368 | 2.92938 | ||||||||
\(689\) | −19.6581 | −0.748913 | ||||||||
\(690\) | −38.6620 | −1.47184 | ||||||||
\(691\) | −9.73010 | −0.370151 | −0.185075 | − | 0.982724i | \(-0.559253\pi\) | ||||
−0.185075 | + | 0.982724i | \(0.559253\pi\) | |||||||
\(692\) | −30.4266 | −1.15665 | ||||||||
\(693\) | 11.1493 | 0.423526 | ||||||||
\(694\) | 52.6315 | 1.99786 | ||||||||
\(695\) | 19.4585 | 0.738103 | ||||||||
\(696\) | 76.8042 | 2.91125 | ||||||||
\(697\) | −4.64103 | −0.175792 | ||||||||
\(698\) | −61.3660 | −2.32274 | ||||||||
\(699\) | 57.9196 | 2.19072 | ||||||||
\(700\) | −47.1136 | −1.78073 | ||||||||
\(701\) | −13.3962 | −0.505967 | −0.252983 | − | 0.967471i | \(-0.581412\pi\) | ||||
−0.252983 | + | 0.967471i | \(0.581412\pi\) | |||||||
\(702\) | −23.3029 | −0.879510 | ||||||||
\(703\) | −9.57448 | −0.361108 | ||||||||
\(704\) | 7.78412 | 0.293375 | ||||||||
\(705\) | 25.9637 | 0.977849 | ||||||||
\(706\) | −57.6617 | −2.17013 | ||||||||
\(707\) | −22.8365 | −0.858855 | ||||||||
\(708\) | −135.439 | −5.09009 | ||||||||
\(709\) | 24.2151 | 0.909416 | 0.454708 | − | 0.890641i | \(-0.349744\pi\) | ||||
0.454708 | + | 0.890641i | \(0.349744\pi\) | |||||||
\(710\) | 47.5280 | 1.78370 | ||||||||
\(711\) | 30.6785 | 1.15053 | ||||||||
\(712\) | −56.6460 | −2.12290 | ||||||||
\(713\) | −12.0850 | −0.452586 | ||||||||
\(714\) | 153.267 | 5.73588 | ||||||||
\(715\) | −1.67812 | −0.0627583 | ||||||||
\(716\) | 110.995 | 4.14807 | ||||||||
\(717\) | −31.6744 | −1.18290 | ||||||||
\(718\) | −59.0715 | −2.20453 | ||||||||
\(719\) | −24.3652 | −0.908669 | −0.454334 | − | 0.890831i | \(-0.650123\pi\) | ||||
−0.454334 | + | 0.890831i | \(0.650123\pi\) | |||||||
\(720\) | 72.2442 | 2.69238 | ||||||||
\(721\) | −34.5080 | −1.28514 | ||||||||
\(722\) | −2.63244 | −0.0979693 | ||||||||
\(723\) | −57.8980 | −2.15325 | ||||||||
\(724\) | 45.9158 | 1.70645 | ||||||||
\(725\) | −10.6478 | −0.395450 | ||||||||
\(726\) | −77.5871 | −2.87953 | ||||||||
\(727\) | 41.4588 | 1.53762 | 0.768810 | − | 0.639477i | \(-0.220849\pi\) | ||||
0.768810 | + | 0.639477i | \(0.220849\pi\) | |||||||
\(728\) | 40.7173 | 1.50908 | ||||||||
\(729\) | −43.5208 | −1.61188 | ||||||||
\(730\) | 46.2654 | 1.71236 | ||||||||
\(731\) | 47.9272 | 1.77265 | ||||||||
\(732\) | 96.0753 | 3.55104 | ||||||||
\(733\) | 27.1274 | 1.00197 | 0.500987 | − | 0.865455i | \(-0.332970\pi\) | ||||
0.500987 | + | 0.865455i | \(0.332970\pi\) | |||||||
\(734\) | −10.6322 | −0.392443 | ||||||||
\(735\) | −12.3703 | −0.456285 | ||||||||
\(736\) | 44.6399 | 1.64545 | ||||||||
\(737\) | −6.02314 | −0.221865 | ||||||||
\(738\) | 9.18610 | 0.338145 | ||||||||
\(739\) | −2.57801 | −0.0948337 | −0.0474169 | − | 0.998875i | \(-0.515099\pi\) | ||||
−0.0474169 | + | 0.998875i | \(0.515099\pi\) | |||||||
\(740\) | −66.6706 | −2.45086 | ||||||||
\(741\) | 4.66478 | 0.171365 | ||||||||
\(742\) | −99.1581 | −3.64021 | ||||||||
\(743\) | 21.2982 | 0.781357 | 0.390678 | − | 0.920527i | \(-0.372240\pi\) | ||||
0.390678 | + | 0.920527i | \(0.372240\pi\) | |||||||
\(744\) | 70.7948 | 2.59546 | ||||||||
\(745\) | −21.1397 | −0.774499 | ||||||||
\(746\) | 12.8158 | 0.469220 | ||||||||
\(747\) | −64.7249 | −2.36816 | ||||||||
\(748\) | 22.9827 | 0.840332 | ||||||||
\(749\) | −30.1921 | −1.10320 | ||||||||
\(750\) | −83.6474 | −3.05437 | ||||||||
\(751\) | 40.0771 | 1.46243 | 0.731217 | − | 0.682145i | \(-0.238953\pi\) | ||||
0.731217 | + | 0.682145i | \(0.238953\pi\) | |||||||
\(752\) | −68.3031 | −2.49076 | ||||||||
\(753\) | −39.5639 | −1.44179 | ||||||||
\(754\) | 15.4842 | 0.563901 | ||||||||
\(755\) | 12.1797 | 0.443263 | ||||||||
\(756\) | −83.6187 | −3.04118 | ||||||||
\(757\) | 13.8538 | 0.503523 | 0.251762 | − | 0.967789i | \(-0.418990\pi\) | ||||
0.251762 | + | 0.967789i | \(0.418990\pi\) | |||||||
\(758\) | −42.1979 | −1.53270 | ||||||||
\(759\) | 7.44179 | 0.270120 | ||||||||
\(760\) | −10.8939 | −0.395163 | ||||||||
\(761\) | −18.3404 | −0.664839 | −0.332420 | − | 0.943132i | \(-0.607865\pi\) | ||||
−0.332420 | + | 0.943132i | \(0.607865\pi\) | |||||||
\(762\) | −117.685 | −4.26329 | ||||||||
\(763\) | −61.4595 | −2.22498 | ||||||||
\(764\) | 24.9003 | 0.900860 | ||||||||
\(765\) | 45.0625 | 1.62924 | ||||||||
\(766\) | −31.7135 | −1.14585 | ||||||||
\(767\) | −16.2275 | −0.585940 | ||||||||
\(768\) | 27.8443 | 1.00474 | ||||||||
\(769\) | −14.8338 | −0.534921 | −0.267461 | − | 0.963569i | \(-0.586185\pi\) | ||||
−0.267461 | + | 0.963569i | \(0.586185\pi\) | |||||||
\(770\) | −8.46469 | −0.305046 | ||||||||
\(771\) | 58.2951 | 2.09945 | ||||||||
\(772\) | −38.1421 | −1.37276 | ||||||||
\(773\) | 17.3327 | 0.623415 | 0.311708 | − | 0.950178i | \(-0.399099\pi\) | ||||
0.311708 | + | 0.950178i | \(0.399099\pi\) | |||||||
\(774\) | −94.8633 | −3.40979 | ||||||||
\(775\) | −9.81471 | −0.352555 | ||||||||
\(776\) | 145.073 | 5.20781 | ||||||||
\(777\) | 85.5805 | 3.07018 | ||||||||
\(778\) | 72.0357 | 2.58260 | ||||||||
\(779\) | −0.712498 | −0.0255279 | ||||||||
\(780\) | 32.4826 | 1.16306 | ||||||||
\(781\) | −9.14836 | −0.327354 | ||||||||
\(782\) | 63.4410 | 2.26865 | ||||||||
\(783\) | −18.8981 | −0.675362 | ||||||||
\(784\) | 32.5427 | 1.16224 | ||||||||
\(785\) | −5.34511 | −0.190775 | ||||||||
\(786\) | −146.248 | −5.21650 | ||||||||
\(787\) | −11.2670 | −0.401624 | −0.200812 | − | 0.979630i | \(-0.564358\pi\) | ||||
−0.200812 | + | 0.979630i | \(0.564358\pi\) | |||||||
\(788\) | 57.3094 | 2.04156 | ||||||||
\(789\) | 25.3032 | 0.900817 | ||||||||
\(790\) | −23.2916 | −0.828677 | ||||||||
\(791\) | −15.2143 | −0.540959 | ||||||||
\(792\) | −27.0348 | −0.960641 | ||||||||
\(793\) | 11.5112 | 0.408774 | ||||||||
\(794\) | 74.3901 | 2.64000 | ||||||||
\(795\) | −47.0115 | −1.66733 | ||||||||
\(796\) | 39.0762 | 1.38502 | ||||||||
\(797\) | 9.06936 | 0.321253 | 0.160627 | − | 0.987015i | \(-0.448649\pi\) | ||||
0.160627 | + | 0.987015i | \(0.448649\pi\) | |||||||
\(798\) | 23.5298 | 0.832945 | ||||||||
\(799\) | −42.6042 | −1.50723 | ||||||||
\(800\) | 36.2540 | 1.28177 | ||||||||
\(801\) | 35.9726 | 1.27103 | ||||||||
\(802\) | −23.0568 | −0.814163 | ||||||||
\(803\) | −8.90532 | −0.314262 | ||||||||
\(804\) | 116.587 | 4.11170 | ||||||||
\(805\) | −16.6221 | −0.585853 | ||||||||
\(806\) | 14.2726 | 0.502733 | ||||||||
\(807\) | 32.1518 | 1.13180 | ||||||||
\(808\) | 55.3741 | 1.94805 | ||||||||
\(809\) | −25.7353 | −0.904807 | −0.452403 | − | 0.891813i | \(-0.649433\pi\) | ||||
−0.452403 | + | 0.891813i | \(0.649433\pi\) | |||||||
\(810\) | −1.09370 | −0.0384288 | ||||||||
\(811\) | 38.5268 | 1.35286 | 0.676430 | − | 0.736507i | \(-0.263526\pi\) | ||||
0.676430 | + | 0.736507i | \(0.263526\pi\) | |||||||
\(812\) | 55.5626 | 1.94986 | ||||||||
\(813\) | −9.79476 | −0.343517 | ||||||||
\(814\) | 18.0393 | 0.632278 | ||||||||
\(815\) | 8.91264 | 0.312196 | ||||||||
\(816\) | −191.161 | −6.69197 | ||||||||
\(817\) | 7.35785 | 0.257418 | ||||||||
\(818\) | 49.7839 | 1.74065 | ||||||||
\(819\) | −25.8572 | −0.903522 | ||||||||
\(820\) | −4.96138 | −0.173259 | ||||||||
\(821\) | −50.2647 | −1.75425 | −0.877124 | − | 0.480263i | \(-0.840541\pi\) | ||||
−0.877124 | + | 0.480263i | \(0.840541\pi\) | |||||||
\(822\) | 169.066 | 5.89685 | ||||||||
\(823\) | 11.1479 | 0.388590 | 0.194295 | − | 0.980943i | \(-0.437758\pi\) | ||||
0.194295 | + | 0.980943i | \(0.437758\pi\) | |||||||
\(824\) | 83.6752 | 2.91496 | ||||||||
\(825\) | 6.04379 | 0.210418 | ||||||||
\(826\) | −81.8535 | −2.84805 | ||||||||
\(827\) | −48.1889 | −1.67569 | −0.837846 | − | 0.545906i | \(-0.816186\pi\) | ||||
−0.837846 | + | 0.545906i | \(0.816186\pi\) | |||||||
\(828\) | −89.3293 | −3.10441 | ||||||||
\(829\) | −18.7671 | −0.651809 | −0.325904 | − | 0.945403i | \(-0.605669\pi\) | ||||
−0.325904 | + | 0.945403i | \(0.605669\pi\) | |||||||
\(830\) | 49.1401 | 1.70568 | ||||||||
\(831\) | 72.1253 | 2.50200 | ||||||||
\(832\) | −18.0528 | −0.625868 | ||||||||
\(833\) | 20.2986 | 0.703304 | ||||||||
\(834\) | 101.911 | 3.52889 | ||||||||
\(835\) | −10.2110 | −0.353365 | ||||||||
\(836\) | 3.52834 | 0.122030 | ||||||||
\(837\) | −17.4194 | −0.602103 | ||||||||
\(838\) | 58.2086 | 2.01078 | ||||||||
\(839\) | −13.9421 | −0.481335 | −0.240668 | − | 0.970608i | \(-0.577366\pi\) | ||||
−0.240668 | + | 0.970608i | \(0.577366\pi\) | |||||||
\(840\) | 97.3738 | 3.35972 | ||||||||
\(841\) | −16.4427 | −0.566990 | ||||||||
\(842\) | −22.8209 | −0.786459 | ||||||||
\(843\) | −15.2101 | −0.523865 | ||||||||
\(844\) | 4.40989 | 0.151795 | ||||||||
\(845\) | −14.4709 | −0.497815 | ||||||||
\(846\) | 84.3275 | 2.89924 | ||||||||
\(847\) | −33.3574 | −1.14617 | ||||||||
\(848\) | 123.674 | 4.24698 | ||||||||
\(849\) | −53.5849 | −1.83903 | ||||||||
\(850\) | 51.5231 | 1.76723 | ||||||||
\(851\) | 35.4239 | 1.21431 | ||||||||
\(852\) | 177.080 | 6.06666 | ||||||||
\(853\) | −25.5021 | −0.873176 | −0.436588 | − | 0.899662i | \(-0.643813\pi\) | ||||
−0.436588 | + | 0.899662i | \(0.643813\pi\) | |||||||
\(854\) | 58.0640 | 1.98691 | ||||||||
\(855\) | 6.91806 | 0.236593 | ||||||||
\(856\) | 73.2100 | 2.50227 | ||||||||
\(857\) | 28.0365 | 0.957708 | 0.478854 | − | 0.877895i | \(-0.341052\pi\) | ||||
0.478854 | + | 0.877895i | \(0.341052\pi\) | |||||||
\(858\) | −8.78894 | −0.300049 | ||||||||
\(859\) | 2.79430 | 0.0953402 | 0.0476701 | − | 0.998863i | \(-0.484820\pi\) | ||||
0.0476701 | + | 0.998863i | \(0.484820\pi\) | |||||||
\(860\) | 51.2354 | 1.74711 | ||||||||
\(861\) | 6.36859 | 0.217041 | ||||||||
\(862\) | 38.9100 | 1.32528 | ||||||||
\(863\) | 36.4749 | 1.24162 | 0.620810 | − | 0.783961i | \(-0.286804\pi\) | ||||
0.620810 | + | 0.783961i | \(0.286804\pi\) | |||||||
\(864\) | 64.3446 | 2.18905 | ||||||||
\(865\) | −8.71816 | −0.296426 | ||||||||
\(866\) | −40.2458 | −1.36761 | ||||||||
\(867\) | −71.4623 | −2.42699 | ||||||||
\(868\) | 51.2152 | 1.73836 | ||||||||
\(869\) | 4.48324 | 0.152084 | ||||||||
\(870\) | 37.0298 | 1.25543 | ||||||||
\(871\) | 13.9688 | 0.473313 | ||||||||
\(872\) | 149.027 | 5.04670 | ||||||||
\(873\) | −92.1272 | −3.11803 | ||||||||
\(874\) | 9.73956 | 0.329445 | ||||||||
\(875\) | −35.9629 | −1.21577 | ||||||||
\(876\) | 172.375 | 5.82403 | ||||||||
\(877\) | 20.9756 | 0.708297 | 0.354149 | − | 0.935189i | \(-0.384771\pi\) | ||||
0.354149 | + | 0.935189i | \(0.384771\pi\) | |||||||
\(878\) | 32.7547 | 1.10542 | ||||||||
\(879\) | −43.5084 | −1.46750 | ||||||||
\(880\) | 10.5575 | 0.355893 | ||||||||
\(881\) | −41.3136 | −1.39189 | −0.695945 | − | 0.718095i | \(-0.745014\pi\) | ||||
−0.695945 | + | 0.718095i | \(0.745014\pi\) | |||||||
\(882\) | −40.1775 | −1.35285 | ||||||||
\(883\) | −46.8988 | −1.57827 | −0.789135 | − | 0.614219i | \(-0.789471\pi\) | ||||
−0.789135 | + | 0.614219i | \(0.789471\pi\) | |||||||
\(884\) | −53.3011 | −1.79271 | ||||||||
\(885\) | −38.8073 | −1.30449 | ||||||||
\(886\) | −36.2127 | −1.21659 | ||||||||
\(887\) | −3.32966 | −0.111799 | −0.0558996 | − | 0.998436i | \(-0.517803\pi\) | ||||
−0.0558996 | + | 0.998436i | \(0.517803\pi\) | |||||||
\(888\) | −207.516 | −6.96378 | ||||||||
\(889\) | −50.5970 | −1.69697 | ||||||||
\(890\) | −27.3109 | −0.915463 | ||||||||
\(891\) | 0.210520 | 0.00705268 | ||||||||
\(892\) | −96.5179 | −3.23166 | ||||||||
\(893\) | −6.54066 | −0.218875 | ||||||||
\(894\) | −110.716 | −3.70291 | ||||||||
\(895\) | 31.8035 | 1.06307 | ||||||||
\(896\) | −14.3099 | −0.478061 | ||||||||
\(897\) | −17.2588 | −0.576256 | ||||||||
\(898\) | 70.2079 | 2.34287 | ||||||||
\(899\) | 11.5748 | 0.386041 | ||||||||
\(900\) | −72.5480 | −2.41827 | ||||||||
\(901\) | 77.1419 | 2.56997 | ||||||||
\(902\) | 1.34242 | 0.0446978 | ||||||||
\(903\) | −65.7673 | −2.18860 | ||||||||
\(904\) | 36.8918 | 1.22700 | ||||||||
\(905\) | 13.1563 | 0.437330 | ||||||||
\(906\) | 63.7893 | 2.11926 | ||||||||
\(907\) | −44.8344 | −1.48870 | −0.744351 | − | 0.667789i | \(-0.767241\pi\) | ||||
−0.744351 | + | 0.667789i | \(0.767241\pi\) | |||||||
\(908\) | 69.2464 | 2.29802 | ||||||||
\(909\) | −35.1648 | −1.16634 | ||||||||
\(910\) | 19.6311 | 0.650766 | ||||||||
\(911\) | 39.5481 | 1.31029 | 0.655144 | − | 0.755504i | \(-0.272608\pi\) | ||||
0.655144 | + | 0.755504i | \(0.272608\pi\) | |||||||
\(912\) | −29.3473 | −0.971786 | ||||||||
\(913\) | −9.45866 | −0.313036 | ||||||||
\(914\) | −65.1357 | −2.15450 | ||||||||
\(915\) | 27.5285 | 0.910066 | ||||||||
\(916\) | −10.7944 | −0.356656 | ||||||||
\(917\) | −62.8772 | −2.07639 | ||||||||
\(918\) | 91.4447 | 3.01812 | ||||||||
\(919\) | −17.2726 | −0.569771 | −0.284886 | − | 0.958562i | \(-0.591956\pi\) | ||||
−0.284886 | + | 0.958562i | \(0.591956\pi\) | |||||||
\(920\) | 40.3054 | 1.32883 | ||||||||
\(921\) | 82.3182 | 2.71248 | ||||||||
\(922\) | −72.4031 | −2.38447 | ||||||||
\(923\) | 21.2167 | 0.698356 | ||||||||
\(924\) | −31.5377 | −1.03752 | ||||||||
\(925\) | 28.7692 | 0.945925 | ||||||||
\(926\) | 32.0741 | 1.05402 | ||||||||
\(927\) | −53.1372 | −1.74525 | ||||||||
\(928\) | −42.7554 | −1.40351 | ||||||||
\(929\) | 8.74137 | 0.286795 | 0.143398 | − | 0.989665i | \(-0.454197\pi\) | ||||
0.143398 | + | 0.989665i | \(0.454197\pi\) | |||||||
\(930\) | 34.1325 | 1.11925 | ||||||||
\(931\) | 3.11627 | 0.102132 | ||||||||
\(932\) | −101.601 | −3.32807 | ||||||||
\(933\) | 22.1652 | 0.725656 | ||||||||
\(934\) | −61.2457 | −2.00402 | ||||||||
\(935\) | 6.58527 | 0.215361 | ||||||||
\(936\) | 62.6986 | 2.04937 | ||||||||
\(937\) | 30.0786 | 0.982624 | 0.491312 | − | 0.870984i | \(-0.336517\pi\) | ||||
0.491312 | + | 0.870984i | \(0.336517\pi\) | |||||||
\(938\) | 70.4603 | 2.30061 | ||||||||
\(939\) | 86.8819 | 2.83528 | ||||||||
\(940\) | −45.5450 | −1.48551 | ||||||||
\(941\) | −42.2933 | −1.37872 | −0.689362 | − | 0.724417i | \(-0.742109\pi\) | ||||
−0.689362 | + | 0.724417i | \(0.742109\pi\) | |||||||
\(942\) | −27.9943 | −0.912103 | ||||||||
\(943\) | 2.63612 | 0.0858437 | ||||||||
\(944\) | 102.091 | 3.32278 | ||||||||
\(945\) | −23.9593 | −0.779397 | ||||||||
\(946\) | −13.8630 | −0.450724 | ||||||||
\(947\) | −7.48364 | −0.243186 | −0.121593 | − | 0.992580i | \(-0.538800\pi\) | ||||
−0.121593 | + | 0.992580i | \(0.538800\pi\) | |||||||
\(948\) | −86.7797 | −2.81847 | ||||||||
\(949\) | 20.6530 | 0.670426 | ||||||||
\(950\) | 7.90990 | 0.256631 | ||||||||
\(951\) | −2.81028 | −0.0911295 | ||||||||
\(952\) | −159.782 | −5.17857 | ||||||||
\(953\) | 8.02459 | 0.259942 | 0.129971 | − | 0.991518i | \(-0.458512\pi\) | ||||
0.129971 | + | 0.991518i | \(0.458512\pi\) | |||||||
\(954\) | −152.689 | −4.94348 | ||||||||
\(955\) | 7.13470 | 0.230873 | ||||||||
\(956\) | 55.5627 | 1.79703 | ||||||||
\(957\) | −7.12762 | −0.230403 | ||||||||
\(958\) | 59.9543 | 1.93704 | ||||||||
\(959\) | 72.6873 | 2.34719 | ||||||||
\(960\) | −43.1725 | −1.39339 | ||||||||
\(961\) | −20.3309 | −0.655834 | ||||||||
\(962\) | −41.8365 | −1.34886 | ||||||||
\(963\) | −46.4914 | −1.49816 | ||||||||
\(964\) | 101.564 | 3.27114 | ||||||||
\(965\) | −10.9289 | −0.351813 | ||||||||
\(966\) | −87.0560 | −2.80098 | ||||||||
\(967\) | 33.6007 | 1.08053 | 0.540263 | − | 0.841497i | \(-0.318325\pi\) | ||||
0.540263 | + | 0.841497i | \(0.318325\pi\) | |||||||
\(968\) | 80.8852 | 2.59975 | ||||||||
\(969\) | −18.3054 | −0.588056 | ||||||||
\(970\) | 69.9443 | 2.24578 | ||||||||
\(971\) | 48.9149 | 1.56975 | 0.784877 | − | 0.619651i | \(-0.212726\pi\) | ||||
0.784877 | + | 0.619651i | \(0.212726\pi\) | |||||||
\(972\) | 74.7955 | 2.39907 | ||||||||
\(973\) | 43.8151 | 1.40465 | ||||||||
\(974\) | 20.2667 | 0.649388 | ||||||||
\(975\) | −14.0166 | −0.448891 | ||||||||
\(976\) | −72.4198 | −2.31810 | ||||||||
\(977\) | −30.2087 | −0.966461 | −0.483231 | − | 0.875493i | \(-0.660537\pi\) | ||||
−0.483231 | + | 0.875493i | \(0.660537\pi\) | |||||||
\(978\) | 46.6787 | 1.49262 | ||||||||
\(979\) | 5.25689 | 0.168011 | ||||||||
\(980\) | 21.6997 | 0.693172 | ||||||||
\(981\) | −94.6385 | −3.02158 | ||||||||
\(982\) | 75.1283 | 2.39744 | ||||||||
\(983\) | −15.8625 | −0.505935 | −0.252968 | − | 0.967475i | \(-0.581407\pi\) | ||||
−0.252968 | + | 0.967475i | \(0.581407\pi\) | |||||||
\(984\) | −15.4426 | −0.492292 | ||||||||
\(985\) | 16.4209 | 0.523214 | ||||||||
\(986\) | −60.7628 | −1.93508 | ||||||||
\(987\) | 58.4630 | 1.86090 | ||||||||
\(988\) | −8.18287 | −0.260332 | ||||||||
\(989\) | −27.2227 | −0.865632 | ||||||||
\(990\) | −13.0344 | −0.414260 | ||||||||
\(991\) | −26.7461 | −0.849619 | −0.424810 | − | 0.905283i | \(-0.639659\pi\) | ||||
−0.424810 | + | 0.905283i | \(0.639659\pi\) | |||||||
\(992\) | −39.4101 | −1.25127 | ||||||||
\(993\) | −3.45174 | −0.109538 | ||||||||
\(994\) | 107.020 | 3.39447 | ||||||||
\(995\) | 11.1965 | 0.354954 | ||||||||
\(996\) | 183.086 | 5.80131 | ||||||||
\(997\) | 36.2498 | 1.14804 | 0.574022 | − | 0.818840i | \(-0.305383\pi\) | ||||
0.574022 | + | 0.818840i | \(0.305383\pi\) | |||||||
\(998\) | −32.8187 | −1.03886 | ||||||||
\(999\) | 51.0604 | 1.61548 |
(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 | 6023.2.a.a.1.4 | ✓ | 98 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6023.2.a.a.1.4 | ✓ | 98 | 1.1 | even | 1 | trivial |