Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [927,2,Mod(46,927)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(927, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("927.46");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 927 = 3^{2} \cdot 103 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 927.f (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.40213226737\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 262.4 | ||
Character | \(\chi\) | \(=\) | 927.262 |
Dual form | 927.2.f.f.46.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/927\mathbb{Z}\right)^\times\).
\(n\) | \(722\) | \(829\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959463 | + | 1.66184i | −0.678443 | + | 1.17510i | 0.297007 | + | 0.954875i | \(0.404012\pi\) |
−0.975450 | + | 0.220222i | \(0.929322\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.841140 | − | 1.45690i | −0.420570 | − | 0.728448i | ||||
\(5\) | 1.43954 | + | 2.49335i | 0.643781 | + | 1.11506i | 0.984582 | + | 0.174925i | \(0.0559684\pi\) |
−0.340801 | + | 0.940135i | \(0.610698\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.39836 | + | 4.15408i | 0.906496 | + | 1.57010i | 0.818897 | + | 0.573941i | \(0.194586\pi\) |
0.0875986 | + | 0.996156i | \(0.472081\pi\) | |||||||
\(8\) | −0.609683 | −0.215555 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −5.52473 | −1.74707 | ||||||||
\(11\) | 2.29446 | + | 3.97412i | 0.691805 | + | 1.19824i | 0.971246 | + | 0.238079i | \(0.0765177\pi\) |
−0.279440 | + | 0.960163i | \(0.590149\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.61480 | −1.55727 | −0.778633 | − | 0.627480i | \(-0.784086\pi\) | ||||
−0.778633 | + | 0.627480i | \(0.784086\pi\) | |||||||
\(14\) | −9.20456 | −2.46002 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.26725 | − | 3.92699i | 0.566812 | − | 0.981747i | ||||
\(17\) | 2.90046 | + | 5.02374i | 0.703464 | + | 1.21844i | 0.967243 | + | 0.253853i | \(0.0816978\pi\) |
−0.263779 | + | 0.964583i | \(0.584969\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.10171 | − | 7.10437i | 0.940997 | − | 1.62986i | 0.177424 | − | 0.984135i | \(-0.443224\pi\) |
0.763574 | − | 0.645721i | \(-0.223443\pi\) | |||||||
\(20\) | 2.42170 | − | 4.19451i | 0.541509 | − | 0.937922i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −8.80580 | −1.87740 | ||||||||
\(23\) | 1.59859 | 0.333329 | 0.166665 | − | 0.986014i | \(-0.446700\pi\) | ||||
0.166665 | + | 0.986014i | \(0.446700\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.64453 | + | 2.84842i | −0.328907 | + | 0.569683i | ||||
\(26\) | 5.38720 | − | 9.33090i | 1.05652 | − | 1.82994i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.03471 | − | 6.98833i | 0.762489 | − | 1.32067i | ||||
\(29\) | −1.07775 | + | 1.86672i | −0.200133 | + | 0.346641i | −0.948571 | − | 0.316564i | \(-0.897471\pi\) |
0.748438 | + | 0.663205i | \(0.230804\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.283590 | −0.0509342 | −0.0254671 | − | 0.999676i | \(-0.508107\pi\) | ||||
−0.0254671 | + | 0.999676i | \(0.508107\pi\) | |||||||
\(32\) | 3.74100 | + | 6.47960i | 0.661321 | + | 1.14544i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −11.1315 | −1.90904 | ||||||||
\(35\) | −6.90506 | + | 11.9599i | −1.16717 | + | 2.02160i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 9.23862 | 1.51882 | 0.759410 | − | 0.650612i | \(-0.225488\pi\) | ||||
0.759410 | + | 0.650612i | \(0.225488\pi\) | |||||||
\(38\) | 7.87089 | + | 13.6328i | 1.27683 | + | 2.21153i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.877661 | − | 1.52015i | −0.138770 | − | 0.240357i | ||||
\(41\) | 3.46058 | − | 5.99390i | 0.540452 | − | 0.936091i | −0.458426 | − | 0.888733i | \(-0.651587\pi\) |
0.998878 | − | 0.0473579i | \(-0.0150801\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.04290 | − | 5.27045i | 0.464037 | − | 0.803736i | −0.535120 | − | 0.844776i | \(-0.679734\pi\) |
0.999158 | + | 0.0410397i | \(0.0130670\pi\) | |||||||
\(44\) | 3.85992 | − | 6.68558i | 0.581905 | − | 1.00789i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.53379 | + | 2.65660i | −0.226145 | + | 0.391694i | ||||
\(47\) | −1.34836 | − | 2.33542i | −0.196678 | − | 0.340657i | 0.750771 | − | 0.660562i | \(-0.229682\pi\) |
−0.947449 | + | 0.319906i | \(0.896349\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −8.00428 | + | 13.8638i | −1.14347 | + | 1.98055i | ||||
\(50\) | −3.15574 | − | 5.46590i | −0.446289 | − | 0.772995i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.72283 | + | 8.18018i | 0.654939 | + | 1.13439i | ||||
\(53\) | −2.95608 | − | 5.12009i | −0.406049 | − | 0.703298i | 0.588394 | − | 0.808575i | \(-0.299761\pi\) |
−0.994443 | + | 0.105277i | \(0.966427\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.60592 | + | 11.4418i | −0.890742 | + | 1.54281i | ||||
\(56\) | −1.46224 | − | 2.53267i | −0.195400 | − | 0.338443i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.06812 | − | 3.58209i | −0.271558 | − | 0.470352i | ||||
\(59\) | 1.59728 | − | 2.76657i | 0.207948 | − | 0.360177i | −0.743120 | − | 0.669158i | \(-0.766655\pi\) |
0.951068 | + | 0.308981i | \(0.0999881\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.23380 | −0.670119 | −0.335060 | − | 0.942197i | \(-0.608757\pi\) | ||||
−0.335060 | + | 0.942197i | \(0.608757\pi\) | |||||||
\(62\) | 0.272094 | − | 0.471281i | 0.0345560 | − | 0.0598527i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.28841 | −0.661052 | ||||||||
\(65\) | −8.08271 | − | 13.9997i | −1.00254 | − | 1.73645i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.395058 | − | 0.684260i | −0.0482640 | − | 0.0835957i | 0.840884 | − | 0.541215i | \(-0.182036\pi\) |
−0.889148 | + | 0.457619i | \(0.848702\pi\) | |||||||
\(68\) | 4.87938 | − | 8.45133i | 0.591712 | − | 1.02487i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −13.2503 | − | 22.9502i | −1.58371 | − | 2.74307i | ||||
\(71\) | −6.80294 | − | 11.7830i | −0.807361 | − | 1.39839i | −0.914686 | − | 0.404166i | \(-0.867562\pi\) |
0.107325 | − | 0.994224i | \(-0.465772\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.36788 | 0.511221 | 0.255611 | − | 0.966780i | \(-0.417724\pi\) | ||||
0.255611 | + | 0.966780i | \(0.417724\pi\) | |||||||
\(74\) | −8.86412 | + | 15.3531i | −1.03043 | + | 1.78476i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −13.8005 | −1.58302 | ||||||||
\(77\) | −11.0059 | + | 19.0628i | −1.25424 | + | 2.17240i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.555227 | −0.0624679 | −0.0312339 | − | 0.999512i | \(-0.509944\pi\) | ||||
−0.0312339 | + | 0.999512i | \(0.509944\pi\) | |||||||
\(80\) | 13.0551 | 1.45961 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 6.64060 | + | 11.5019i | 0.733332 | + | 1.27017i | ||||
\(83\) | −0.116246 | + | 0.201345i | −0.0127597 | + | 0.0221005i | −0.872335 | − | 0.488909i | \(-0.837395\pi\) |
0.859575 | + | 0.511010i | \(0.170728\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.35063 | + | 14.4637i | −0.905753 | + | 1.56881i | ||||
\(86\) | 5.83909 | + | 10.1136i | 0.629646 | + | 1.09058i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.39889 | − | 2.42295i | −0.149122 | − | 0.258288i | ||||
\(89\) | −6.40526 | −0.678957 | −0.339478 | − | 0.940614i | \(-0.610251\pi\) | ||||
−0.339478 | + | 0.940614i | \(0.610251\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −13.4663 | − | 23.3244i | −1.41165 | − | 2.44506i | ||||
\(92\) | −1.34464 | − | 2.32898i | −0.140188 | − | 0.242813i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 5.17480 | 0.533740 | ||||||||
\(95\) | 23.6183 | 2.42318 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.62601 | − | 2.81634i | 0.165097 | − | 0.285956i | −0.771593 | − | 0.636117i | \(-0.780540\pi\) |
0.936690 | + | 0.350161i | \(0.113873\pi\) | |||||||
\(98\) | −15.3596 | − | 26.6037i | −1.55156 | − | 2.68737i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.53313 | 0.553313 | ||||||||
\(101\) | 5.64036 | − | 9.76940i | 0.561237 | − | 0.972091i | −0.436152 | − | 0.899873i | \(-0.643659\pi\) |
0.997389 | − | 0.0722182i | \(-0.0230078\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 10.1482 | + | 0.116389i | 0.999934 | + | 0.0114682i | ||||
\(104\) | 3.42325 | 0.335677 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 11.3450 | 1.10193 | ||||||||
\(107\) | 3.73119 | + | 6.46261i | 0.360708 | + | 0.624764i | 0.988078 | − | 0.153957i | \(-0.0492018\pi\) |
−0.627370 | + | 0.778722i | \(0.715868\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.96953 | − | 8.60749i | 0.475995 | − | 0.824448i | −0.523627 | − | 0.851948i | \(-0.675421\pi\) |
0.999622 | + | 0.0275001i | \(0.00875467\pi\) | |||||||
\(110\) | −12.6763 | − | 21.9559i | −1.20863 | − | 2.09342i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 21.7507 | 2.05525 | ||||||||
\(113\) | −13.7774 | −1.29607 | −0.648036 | − | 0.761610i | \(-0.724409\pi\) | ||||
−0.648036 | + | 0.761610i | \(0.724409\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.30123 | + | 3.98585i | 0.214591 | + | 0.371682i | ||||
\(116\) | 3.62615 | 0.336680 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.06507 | + | 5.30885i | 0.282162 | + | 0.488719i | ||||
\(119\) | −13.9127 | + | 24.0975i | −1.27537 | + | 2.20901i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.02908 | + | 8.71063i | −0.457189 | + | 0.791875i | ||||
\(122\) | 5.02164 | − | 8.69773i | 0.454638 | − | 0.787456i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.238539 | + | 0.413161i | 0.0214214 | + | 0.0371030i | ||||
\(125\) | 4.92590 | 0.440586 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −13.4729 | −1.19553 | −0.597765 | − | 0.801671i | \(-0.703944\pi\) | ||||
−0.597765 | + | 0.801671i | \(0.703944\pi\) | |||||||
\(128\) | −2.40796 | + | 4.17071i | −0.212835 | + | 0.368642i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 31.0203 | 2.72066 | ||||||||
\(131\) | −7.80058 | + | 13.5110i | −0.681540 | + | 1.18046i | 0.292971 | + | 0.956121i | \(0.405356\pi\) |
−0.974511 | + | 0.224340i | \(0.927977\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 39.3496 | 3.41204 | ||||||||
\(134\) | 1.51617 | 0.130977 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.76836 | − | 3.06289i | −0.151636 | − | 0.262640i | ||||
\(137\) | −17.3874 | −1.48551 | −0.742753 | − | 0.669566i | \(-0.766480\pi\) | ||||
−0.742753 | + | 0.669566i | \(0.766480\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.969930 | − | 1.67997i | −0.0822684 | − | 0.142493i | 0.821956 | − | 0.569552i | \(-0.192883\pi\) |
−0.904224 | + | 0.427059i | \(0.859550\pi\) | |||||||
\(140\) | 23.2325 | 1.96350 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 26.1087 | 2.19099 | ||||||||
\(143\) | −12.8829 | − | 22.3139i | −1.07732 | − | 1.86598i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.20584 | −0.515367 | ||||||||
\(146\) | −4.19082 | + | 7.25871i | −0.346834 | + | 0.600735i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.77097 | − | 13.4597i | −0.638770 | − | 1.10638i | ||||
\(149\) | 11.8042 | − | 20.4454i | 0.967034 | − | 1.67495i | 0.262986 | − | 0.964800i | \(-0.415293\pi\) |
0.704048 | − | 0.710152i | \(-0.251374\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.88764 | + | 8.46565i | −0.397751 | + | 0.688925i | −0.993448 | − | 0.114284i | \(-0.963543\pi\) |
0.595697 | + | 0.803209i | \(0.296876\pi\) | |||||||
\(152\) | −2.50074 | + | 4.33142i | −0.202837 | + | 0.351324i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −21.1195 | − | 36.5800i | −1.70186 | − | 2.94770i | ||||
\(155\) | −0.408238 | − | 0.707089i | −0.0327905 | − | 0.0567948i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.76307 | + | 6.51782i | −0.300326 | + | 0.520179i | −0.976210 | − | 0.216829i | \(-0.930429\pi\) |
0.675884 | + | 0.737008i | \(0.263762\pi\) | |||||||
\(158\) | 0.532720 | − | 0.922697i | 0.0423809 | − | 0.0734059i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −10.7706 | + | 18.6552i | −0.851492 | + | 1.47483i | ||||
\(161\) | 3.83400 | + | 6.64068i | 0.302162 | + | 0.523359i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.90110 | − | 6.75691i | 0.305558 | − | 0.529242i | −0.671828 | − | 0.740708i | \(-0.734490\pi\) |
0.977385 | + | 0.211466i | \(0.0678237\pi\) | |||||||
\(164\) | −11.6433 | −0.909191 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.223068 | − | 0.386366i | −0.0173135 | − | 0.0299878i | ||||
\(167\) | 2.36535 | 0.183036 | 0.0915180 | − | 0.995803i | \(-0.470828\pi\) | ||||
0.0915180 | + | 0.995803i | \(0.470828\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 18.5260 | 1.42508 | ||||||||
\(170\) | −16.0242 | − | 27.7548i | −1.22900 | − | 2.12870i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −10.2380 | −0.780640 | ||||||||
\(173\) | 7.45646 | + | 12.9150i | 0.566904 | + | 0.981907i | 0.996870 | + | 0.0790617i | \(0.0251924\pi\) |
−0.429965 | + | 0.902845i | \(0.641474\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −15.7768 | −1.19261 | ||||||||
\(176\) | 20.8084 | 1.56849 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 6.14562 | − | 10.6445i | 0.460633 | − | 0.797840i | ||||
\(179\) | −6.96966 | −0.520937 | −0.260468 | − | 0.965482i | \(-0.583877\pi\) | ||||
−0.260468 | + | 0.965482i | \(0.583877\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.705311 | + | 1.22163i | −0.0524253 | + | 0.0908033i | −0.891047 | − | 0.453911i | \(-0.850028\pi\) |
0.838622 | + | 0.544714i | \(0.183362\pi\) | |||||||
\(182\) | 51.6818 | 3.83091 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.974634 | −0.0718509 | ||||||||
\(185\) | 13.2993 | + | 23.0351i | 0.977787 | + | 1.69358i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −13.3100 | + | 23.0535i | −0.973321 | + | 1.68584i | ||||
\(188\) | −2.26831 | + | 3.92884i | −0.165434 | + | 0.286540i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −22.6609 | + | 39.2498i | −1.64399 | + | 2.84748i | ||||
\(191\) | −6.51183 | − | 11.2788i | −0.471180 | − | 0.816107i | 0.528277 | − | 0.849072i | \(-0.322838\pi\) |
−0.999457 | + | 0.0329652i | \(0.989505\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.80102 | 0.273604 | 0.136802 | − | 0.990598i | \(-0.456318\pi\) | ||||
0.136802 | + | 0.990598i | \(0.456318\pi\) | |||||||
\(194\) | 3.12020 | + | 5.40435i | 0.224017 | + | 0.388009i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 26.9309 | 1.92363 | ||||||||
\(197\) | 10.7237 | 0.764030 | 0.382015 | − | 0.924156i | \(-0.375230\pi\) | ||||
0.382015 | + | 0.924156i | \(0.375230\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.84292 | + | 17.0484i | 0.697746 | + | 1.20853i | 0.969246 | + | 0.246094i | \(0.0791471\pi\) |
−0.271500 | + | 0.962439i | \(0.587520\pi\) | |||||||
\(200\) | 1.00264 | − | 1.73663i | 0.0708977 | − | 0.122798i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 10.8234 | + | 18.7468i | 0.761535 | + | 1.31902i | ||||
\(203\) | −10.3393 | −0.725679 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 19.9265 | 1.39173 | ||||||||
\(206\) | −9.93027 | + | 16.7530i | −0.691875 | + | 1.16724i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −12.7301 | + | 22.0493i | −0.882677 | + | 1.52884i | ||||
\(209\) | 37.6448 | 2.60395 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.654572 | − | 1.13375i | −0.0450626 | − | 0.0780507i | 0.842614 | − | 0.538517i | \(-0.181015\pi\) |
−0.887677 | + | 0.460467i | \(0.847682\pi\) | |||||||
\(212\) | −4.97296 | + | 8.61342i | −0.341544 | + | 0.591572i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −14.3198 | −0.978879 | ||||||||
\(215\) | 17.5214 | 1.19495 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.680151 | − | 1.17806i | −0.0461717 | − | 0.0799717i | ||||
\(218\) | 9.53617 | + | 16.5171i | 0.645871 | + | 1.11868i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 22.2260 | 1.49848 | ||||||||
\(221\) | −16.2855 | − | 28.2073i | −1.09548 | − | 1.89743i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.15268 | + | 1.99650i | 0.0771892 | + | 0.133696i | 0.902036 | − | 0.431660i | \(-0.142072\pi\) |
−0.824847 | + | 0.565356i | \(0.808739\pi\) | |||||||
\(224\) | −17.9445 | + | 31.0809i | −1.19897 | + | 2.07668i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 13.2189 | − | 22.8959i | 0.879311 | − | 1.52301i | ||||
\(227\) | 2.10574 | + | 3.64725i | 0.139763 | + | 0.242076i | 0.927407 | − | 0.374054i | \(-0.122033\pi\) |
−0.787644 | + | 0.616131i | \(0.788699\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.33200 | 0.0880214 | 0.0440107 | − | 0.999031i | \(-0.485986\pi\) | ||||
0.0440107 | + | 0.999031i | \(0.485986\pi\) | |||||||
\(230\) | −8.83179 | −0.582351 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.657085 | − | 1.13811i | 0.0431398 | − | 0.0747203i | ||||
\(233\) | −1.34549 | −0.0881461 | −0.0440731 | − | 0.999028i | \(-0.514033\pi\) | ||||
−0.0440731 | + | 0.999028i | \(0.514033\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.88202 | − | 6.72386i | 0.253235 | − | 0.438616i | ||||
\(236\) | −5.37415 | −0.349827 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −26.6974 | − | 46.2413i | −1.73054 | − | 2.99738i | ||||
\(239\) | 10.0757 | + | 17.4517i | 0.651744 | + | 1.12885i | 0.982699 | + | 0.185208i | \(0.0592959\pi\) |
−0.330955 | + | 0.943647i | \(0.607371\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.91364 | − | 10.2427i | 0.380931 | − | 0.659792i | −0.610265 | − | 0.792198i | \(-0.708937\pi\) |
0.991196 | + | 0.132406i | \(0.0422702\pi\) | |||||||
\(242\) | −9.65044 | − | 16.7151i | −0.620354 | − | 1.07448i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.40236 | + | 7.62511i | 0.281832 | + | 0.488147i | ||||
\(245\) | −46.0898 | −2.94457 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −23.0303 | + | 39.8896i | −1.46538 | + | 2.53812i | ||||
\(248\) | 0.172900 | 0.0109792 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4.72622 | + | 8.18605i | −0.298912 | + | 0.517731i | ||||
\(251\) | 0.385996 | + | 0.668564i | 0.0243638 | + | 0.0421994i | 0.877950 | − | 0.478752i | \(-0.158911\pi\) |
−0.853586 | + | 0.520951i | \(0.825577\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.66790 | + | 6.35299i | 0.230599 | + | 0.399409i | ||||
\(254\) | 12.9268 | − | 22.3899i | 0.811099 | − | 1.40486i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −9.90911 | − | 17.1631i | −0.619319 | − | 1.07269i | ||||
\(257\) | −2.39918 | − | 4.15549i | −0.149656 | − | 0.259213i | 0.781444 | − | 0.623975i | \(-0.214483\pi\) |
−0.931101 | + | 0.364763i | \(0.881150\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 22.1576 | + | 38.3780i | 1.37680 | + | 2.38469i | ||||
\(260\) | −13.5974 | + | 23.5514i | −0.843274 | + | 1.46059i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −14.9687 | − | 25.9266i | −0.924771 | − | 1.60175i | ||||
\(263\) | −13.5533 | + | 23.4749i | −0.835730 | + | 1.44753i | 0.0577050 | + | 0.998334i | \(0.481622\pi\) |
−0.893435 | + | 0.449193i | \(0.851712\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.51078 | − | 14.7411i | 0.522813 | − | 0.905539i | ||||
\(266\) | −37.7545 | + | 65.3926i | −2.31487 | + | 4.00948i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.664598 | + | 1.15112i | −0.0405968 | + | 0.0703156i | ||||
\(269\) | −2.56926 | − | 4.45009i | −0.156651 | − | 0.271327i | 0.777008 | − | 0.629490i | \(-0.216736\pi\) |
−0.933659 | + | 0.358164i | \(0.883403\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.88589 | + | 6.73056i | 0.236051 | + | 0.408853i | 0.959578 | − | 0.281444i | \(-0.0908134\pi\) |
−0.723526 | + | 0.690297i | \(0.757480\pi\) | |||||||
\(272\) | 26.3042 | 1.59493 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 16.6826 | − | 28.8950i | 1.00783 | − | 1.74561i | ||||
\(275\) | −15.0933 | −0.910158 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.04118 | + | 5.26747i | 0.182727 | + | 0.316492i | 0.942808 | − | 0.333336i | \(-0.108174\pi\) |
−0.760082 | + | 0.649828i | \(0.774841\pi\) | |||||||
\(278\) | 3.72245 | 0.223258 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.20990 | − | 7.29176i | 0.251590 | − | 0.435766i | ||||
\(281\) | 1.46826 | − | 2.54309i | 0.0875888 | − | 0.151708i | −0.818903 | − | 0.573932i | \(-0.805417\pi\) |
0.906491 | + | 0.422224i | \(0.138751\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.03765 | − | 13.9216i | 0.477789 | − | 0.827555i | −0.521887 | − | 0.853015i | \(-0.674772\pi\) |
0.999676 | + | 0.0254601i | \(0.00810507\pi\) | |||||||
\(284\) | −11.4445 | + | 19.8224i | −0.679103 | + | 1.17624i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 49.4428 | 2.92361 | ||||||||
\(287\) | 33.1989 | 1.95967 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.32530 | + | 14.4198i | −0.489724 | + | 0.848226i | ||||
\(290\) | 5.95428 | − | 10.3131i | 0.349647 | − | 0.605607i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.67399 | − | 6.36354i | −0.215004 | − | 0.372398i | ||||
\(293\) | −9.18121 | + | 15.9023i | −0.536372 | + | 0.929023i | 0.462724 | + | 0.886502i | \(0.346872\pi\) |
−0.999096 | + | 0.0425207i | \(0.986461\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.19738 | 0.535492 | ||||||||
\(296\) | −5.63263 | −0.327390 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 22.6513 | + | 39.2332i | 1.31215 | + | 2.27272i | ||||
\(299\) | −8.97577 | −0.519082 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 29.1919 | 1.68259 | ||||||||
\(302\) | −9.37903 | − | 16.2450i | −0.539703 | − | 0.934792i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −18.5992 | − | 32.2148i | −1.06674 | − | 1.84764i | ||||
\(305\) | −7.53425 | − | 13.0497i | −0.431410 | − | 0.747224i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −12.9398 | + | 22.4124i | −0.738513 | + | 1.27914i | 0.214652 | + | 0.976691i | \(0.431138\pi\) |
−0.953165 | + | 0.302451i | \(0.902195\pi\) | |||||||
\(308\) | 37.0299 | 2.10998 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.56676 | 0.0889859 | ||||||||
\(311\) | 2.38478 | − | 4.13056i | 0.135228 | − | 0.234222i | −0.790456 | − | 0.612518i | \(-0.790157\pi\) |
0.925685 | + | 0.378296i | \(0.123490\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.9015 | − | 18.8819i | −0.616187 | − | 1.06727i | −0.990175 | − | 0.139834i | \(-0.955343\pi\) |
0.373988 | − | 0.927434i | \(-0.377990\pi\) | |||||||
\(314\) | −7.22105 | − | 12.5072i | −0.407507 | − | 0.705824i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.467023 | + | 0.808908i | 0.0262721 | + | 0.0455046i | ||||
\(317\) | 19.9853 | 1.12249 | 0.561244 | − | 0.827650i | \(-0.310323\pi\) | ||||
0.561244 | + | 0.827650i | \(0.310323\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −9.89141 | −0.553813 | ||||||||
\(320\) | −7.61287 | − | 13.1859i | −0.425572 | − | 0.737113i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −14.7143 | −0.819997 | ||||||||
\(323\) | 47.5874 | 2.64783 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.23373 | − | 15.9933i | 0.512195 | − | 0.887148i | ||||
\(326\) | 7.48593 | + | 12.9660i | 0.414607 | + | 0.718121i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.10986 | + | 3.65438i | −0.116497 | + | 0.201779i | ||||
\(329\) | 6.46770 | − | 11.2024i | 0.356576 | − | 0.617608i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 16.2059 | 0.890756 | 0.445378 | − | 0.895343i | \(-0.353069\pi\) | ||||
0.445378 | + | 0.895343i | \(0.353069\pi\) | |||||||
\(332\) | 0.391118 | 0.0214654 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −2.26946 | + | 3.93082i | −0.124179 | + | 0.215085i | ||||
\(335\) | 1.13740 | − | 1.97004i | 0.0621428 | − | 0.107635i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.5492 | − | 23.4680i | 0.738074 | − | 1.27838i | −0.215288 | − | 0.976551i | \(-0.569069\pi\) |
0.953362 | − | 0.301831i | \(-0.0975977\pi\) | |||||||
\(338\) | −17.7750 | + | 30.7872i | −0.966833 | + | 1.67460i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 28.0962 | 1.52373 | ||||||||
\(341\) | −0.650685 | − | 1.12702i | −0.0352366 | − | 0.0610315i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −43.2116 | −2.33321 | ||||||||
\(344\) | −1.85520 | + | 3.21330i | −0.100026 | + | 0.173250i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −28.6168 | −1.53845 | ||||||||
\(347\) | 6.80577 | + | 11.7879i | 0.365353 | + | 0.632810i | 0.988833 | − | 0.149030i | \(-0.0476150\pi\) |
−0.623480 | + | 0.781839i | \(0.714282\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.00916 | + | 6.94407i | 0.214606 | + | 0.371708i | 0.953150 | − | 0.302497i | \(-0.0978201\pi\) |
−0.738545 | + | 0.674204i | \(0.764487\pi\) | |||||||
\(350\) | 15.1372 | − | 26.2184i | 0.809118 | − | 1.40143i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −17.1671 | + | 29.7344i | −0.915011 | + | 1.58485i | ||||
\(353\) | 17.3950 | − | 30.1291i | 0.925845 | − | 1.60361i | 0.135647 | − | 0.990757i | \(-0.456689\pi\) |
0.790197 | − | 0.612853i | \(-0.209978\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 19.5862 | − | 33.9243i | 1.03953 | − | 1.80051i | ||||
\(356\) | 5.38772 | + | 9.33181i | 0.285549 | + | 0.494585i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6.68713 | − | 11.5825i | 0.353426 | − | 0.612152i | ||||
\(359\) | −11.6205 | − | 20.1272i | −0.613304 | − | 1.06227i | −0.990679 | − | 0.136214i | \(-0.956507\pi\) |
0.377375 | − | 0.926060i | \(-0.376827\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −24.1481 | − | 41.8257i | −1.27095 | − | 2.20135i | ||||
\(362\) | −1.35344 | − | 2.34423i | −0.0711352 | − | 0.123210i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −22.6541 | + | 39.2381i | −1.18740 | + | 2.05663i | ||||
\(365\) | 6.28772 | + | 10.8906i | 0.329114 | + | 0.570043i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.908305 | − | 1.57323i | −0.0474131 | − | 0.0821219i | 0.841345 | − | 0.540499i | \(-0.181764\pi\) |
−0.888758 | + | 0.458377i | \(0.848431\pi\) | |||||||
\(368\) | 3.62440 | − | 6.27765i | 0.188935 | − | 0.327245i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −51.0409 | −2.65349 | ||||||||
\(371\) | 14.1795 | − | 24.5596i | 0.736164 | − | 1.27507i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 32.7799 | 1.69728 | 0.848639 | − | 0.528973i | \(-0.177423\pi\) | ||||
0.848639 | + | 0.528973i | \(0.177423\pi\) | |||||||
\(374\) | −25.5408 | − | 44.2380i | −1.32069 | − | 2.28749i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.822071 | + | 1.42387i | 0.0423951 | + | 0.0734304i | ||||
\(377\) | 6.05135 | − | 10.4812i | 0.311660 | − | 0.539812i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.306078 | − | 0.530142i | −0.0157222 | − | 0.0272316i | 0.858057 | − | 0.513554i | \(-0.171671\pi\) |
−0.873779 | + | 0.486322i | \(0.838338\pi\) | |||||||
\(380\) | −19.8663 | − | 34.4094i | −1.01912 | − | 1.76516i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 24.9915 | 1.27867 | ||||||||
\(383\) | −8.85762 | + | 15.3418i | −0.452603 | + | 0.783932i | −0.998547 | − | 0.0538901i | \(-0.982838\pi\) |
0.545944 | + | 0.837822i | \(0.316171\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −63.3735 | −3.22981 | ||||||||
\(386\) | −3.64694 | + | 6.31669i | −0.185624 | + | 0.321511i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −5.47082 | −0.277739 | ||||||||
\(389\) | −6.11815 | −0.310203 | −0.155101 | − | 0.987899i | \(-0.549570\pi\) | ||||
−0.155101 | + | 0.987899i | \(0.549570\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.63665 | + | 8.03090i | 0.234485 | + | 0.406140i | ||||
\(392\) | 4.88007 | − | 8.45253i | 0.246481 | − | 0.426917i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −10.2890 | + | 17.8210i | −0.518351 | + | 0.897810i | ||||
\(395\) | −0.799269 | − | 1.38438i | −0.0402156 | − | 0.0696555i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.20571 | + | 5.55246i | 0.160890 | + | 0.278670i | 0.935188 | − | 0.354151i | \(-0.115230\pi\) |
−0.774298 | + | 0.632821i | \(0.781897\pi\) | |||||||
\(398\) | −37.7757 | −1.89352 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 7.45713 | + | 12.9161i | 0.372857 | + | 0.645807i | ||||
\(401\) | 3.50123 | + | 6.06431i | 0.174843 | + | 0.302837i | 0.940107 | − | 0.340880i | \(-0.110725\pi\) |
−0.765264 | + | 0.643717i | \(0.777392\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.59230 | 0.0793181 | ||||||||
\(404\) | −18.9773 | −0.944158 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.92021 | − | 17.1823i | 0.492332 | − | 0.852744i | ||||
\(407\) | 21.1976 | + | 36.7154i | 1.05073 | + | 1.81991i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 11.8650 | 0.586689 | 0.293344 | − | 0.956007i | \(-0.405232\pi\) | ||||
0.293344 | + | 0.956007i | \(0.405232\pi\) | |||||||
\(410\) | −19.1188 | + | 33.1147i | −0.944210 | + | 1.63542i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −8.36651 | − | 14.8828i | −0.412188 | − | 0.733224i | ||||
\(413\) | 15.3234 | 0.754017 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.669364 | −0.0328578 | ||||||||
\(416\) | −21.0050 | − | 36.3817i | −1.02985 | − | 1.78376i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −36.1188 | + | 62.5597i | −1.76663 | + | 3.05989i | ||||
\(419\) | −7.23695 | − | 12.5348i | −0.353548 | − | 0.612363i | 0.633320 | − | 0.773890i | \(-0.281692\pi\) |
−0.986868 | + | 0.161527i | \(0.948358\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11.2530 | −0.548437 | −0.274218 | − | 0.961667i | \(-0.588419\pi\) | ||||
−0.274218 | + | 0.961667i | \(0.588419\pi\) | |||||||
\(422\) | 2.51215 | 0.122290 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.80227 | + | 3.12163i | 0.0875261 | + | 0.151600i | ||||
\(425\) | −19.0796 | −0.925497 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.5525 | − | 21.7416i | −0.607460 | − | 1.05215i | ||||
\(428\) | 6.27690 | − | 10.8719i | 0.303406 | − | 0.525514i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −16.8112 | + | 29.1178i | −0.810707 | + | 1.40419i | ||||
\(431\) | −0.748327 | + | 1.29614i | −0.0360456 | + | 0.0624329i | −0.883485 | − | 0.468459i | \(-0.844810\pi\) |
0.847440 | + | 0.530892i | \(0.178143\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −15.5656 | − | 26.9604i | −0.748034 | − | 1.29563i | −0.948764 | − | 0.315986i | \(-0.897665\pi\) |
0.200730 | − | 0.979647i | \(-0.435669\pi\) | |||||||
\(434\) | 2.61032 | 0.125299 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −16.7203 | −0.800757 | ||||||||
\(437\) | 6.55696 | − | 11.3570i | 0.313662 | − | 0.543278i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −24.5270 | −1.17061 | −0.585306 | − | 0.810813i | \(-0.699025\pi\) | ||||
−0.585306 | + | 0.810813i | \(0.699025\pi\) | |||||||
\(440\) | 4.02751 | − | 6.97586i | 0.192004 | − | 0.332561i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 62.5013 | 2.97288 | ||||||||
\(443\) | −32.4322 | −1.54090 | −0.770449 | − | 0.637501i | \(-0.779968\pi\) | ||||
−0.770449 | + | 0.637501i | \(0.779968\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −9.22061 | − | 15.9706i | −0.437099 | − | 0.757078i | ||||
\(446\) | −4.42382 | −0.209474 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −12.6835 | − | 21.9685i | −0.599240 | − | 1.03791i | ||||
\(449\) | −27.8198 | −1.31290 | −0.656449 | − | 0.754370i | \(-0.727942\pi\) | ||||
−0.656449 | + | 0.754370i | \(0.727942\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 31.7607 | 1.49555 | ||||||||
\(452\) | 11.5887 | + | 20.0723i | 0.545089 | + | 0.944122i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −8.08152 | −0.379284 | ||||||||
\(455\) | 38.7706 | − | 67.1526i | 1.81759 | − | 3.14816i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.97858 | − | 15.5513i | −0.420000 | − | 0.727461i | 0.575939 | − | 0.817493i | \(-0.304637\pi\) |
−0.995939 | + | 0.0900313i | \(0.971303\pi\) | |||||||
\(458\) | −1.27801 | + | 2.21358i | −0.0597175 | + | 0.103434i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.87131 | − | 6.70531i | 0.180501 | − | 0.312637i | ||||
\(461\) | −18.0609 | + | 31.2823i | −0.841178 | + | 1.45696i | 0.0477218 | + | 0.998861i | \(0.484804\pi\) |
−0.888900 | + | 0.458102i | \(0.848529\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 8.74568 | + | 15.1480i | 0.406446 | + | 0.703986i | 0.994489 | − | 0.104844i | \(-0.0334345\pi\) |
−0.588042 | + | 0.808830i | \(0.700101\pi\) | |||||||
\(464\) | 4.88705 | + | 8.46462i | 0.226876 | + | 0.392960i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.29095 | − | 2.23599i | 0.0598021 | − | 0.103580i | ||||
\(467\) | 17.6585 | − | 30.5854i | 0.817138 | − | 1.41532i | −0.0906442 | − | 0.995883i | \(-0.528893\pi\) |
0.907782 | − | 0.419441i | \(-0.137774\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.89498 | − | 3.28221i | 0.0875022 | − | 0.151558i | ||||
\(470\) | 7.44932 | + | 12.9026i | 0.343611 | + | 0.595152i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.973835 | + | 1.68673i | −0.0448244 | + | 0.0776381i | ||||
\(473\) | 27.9272 | 1.28409 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 13.4908 | + | 23.3668i | 0.619001 | + | 1.07214i | ||||
\(476\) | 46.8101 | 2.14554 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −38.6692 | −1.76869 | ||||||||
\(479\) | 2.63746 | + | 4.56822i | 0.120509 | + | 0.208727i | 0.919968 | − | 0.391992i | \(-0.128214\pi\) |
−0.799460 | + | 0.600720i | \(0.794881\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −51.8730 | −2.36521 | ||||||||
\(482\) | 11.3478 | + | 19.6550i | 0.516880 | + | 0.895262i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 16.9206 | 0.769120 | ||||||||
\(485\) | 9.36283 | 0.425144 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.72137 | + | 6.44561i | −0.168632 | + | 0.292078i | −0.937939 | − | 0.346800i | \(-0.887268\pi\) |
0.769307 | + | 0.638879i | \(0.220601\pi\) | |||||||
\(488\) | 3.19096 | 0.144448 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 44.2215 | − | 76.5939i | 1.99772 | − | 3.46016i | ||||
\(491\) | 16.2930 | 0.735292 | 0.367646 | − | 0.929966i | \(-0.380164\pi\) | ||||
0.367646 | + | 0.929966i | \(0.380164\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −12.5039 | −0.563146 | ||||||||
\(494\) | −44.1935 | − | 76.5453i | −1.98836 | − | 3.44394i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.642968 | + | 1.11365i | −0.0288701 | + | 0.0500045i | ||||
\(497\) | 32.6318 | − | 56.5200i | 1.46374 | − | 2.53527i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −21.0576 | + | 36.4728i | −0.942666 | + | 1.63275i | −0.182308 | + | 0.983241i | \(0.558357\pi\) |
−0.760358 | + | 0.649504i | \(0.774976\pi\) | |||||||
\(500\) | −4.14337 | − | 7.17652i | −0.185297 | − | 0.320944i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.48139 | −0.0661179 | ||||||||
\(503\) | −8.04802 | − | 13.9396i | −0.358844 | − | 0.621536i | 0.628924 | − | 0.777467i | \(-0.283496\pi\) |
−0.987768 | + | 0.155931i | \(0.950162\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 32.4781 | 1.44525 | ||||||||
\(506\) | −14.0769 | −0.625793 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 11.3326 | + | 19.6287i | 0.502804 | + | 0.870882i | ||||
\(509\) | 4.06987 | − | 7.04922i | 0.180394 | − | 0.312451i | −0.761621 | − | 0.648023i | \(-0.775596\pi\) |
0.942015 | + | 0.335572i | \(0.108929\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.4757 | + | 18.1445i | 0.463420 | + | 0.802666i | ||||
\(512\) | 28.3979 | 1.25502 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 9.20768 | 0.406134 | ||||||||
\(515\) | 14.3185 | + | 25.4706i | 0.630951 | + | 1.12237i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.18750 | − | 10.7171i | 0.272126 | − | 0.471336i | ||||
\(518\) | −85.0375 | −3.73633 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.92789 | + | 8.53536i | 0.216102 | + | 0.374300i | ||||
\(521\) | −6.90824 | + | 11.9654i | −0.302655 | + | 0.524214i | −0.976737 | − | 0.214443i | \(-0.931206\pi\) |
0.674081 | + | 0.738657i | \(0.264540\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.90150 | 0.301782 | 0.150891 | − | 0.988550i | \(-0.451786\pi\) | ||||
0.150891 | + | 0.988550i | \(0.451786\pi\) | |||||||
\(524\) | 26.2455 | 1.14654 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −26.0077 | − | 45.0467i | −1.13399 | − | 1.96413i | ||||
\(527\) | −0.822540 | − | 1.42468i | −0.0358304 | − | 0.0620601i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −20.4445 | −0.888892 | ||||||||
\(530\) | 16.3316 | + | 28.2871i | 0.709398 | + | 1.22871i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −33.0985 | − | 57.3282i | −1.43500 | − | 2.48549i | ||||
\(533\) | −19.4305 | + | 33.6546i | −0.841628 | + | 1.45774i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −10.7424 | + | 18.6063i | −0.464433 | + | 0.804422i | ||||
\(536\) | 0.240860 | + | 0.417182i | 0.0104036 | + | 0.0180195i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 9.86045 | 0.425114 | ||||||||
\(539\) | −73.4620 | −3.16423 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −3.19320 | + | 5.53078i | −0.137286 | + | 0.237787i | −0.926468 | − | 0.376372i | \(-0.877171\pi\) |
0.789182 | + | 0.614159i | \(0.210505\pi\) | |||||||
\(542\) | −14.9135 | −0.640589 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −21.7012 | + | 37.5876i | −0.930432 | + | 1.61156i | ||||
\(545\) | 28.6153 | 1.22575 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 16.5866 | + | 28.7288i | 0.709191 | + | 1.22836i | 0.965158 | + | 0.261669i | \(0.0842730\pi\) |
−0.255966 | + | 0.966686i | \(0.582394\pi\) | |||||||
\(548\) | 14.6252 | + | 25.3316i | 0.624759 | + | 1.08211i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 14.4814 | − | 25.0826i | 0.617490 | − | 1.06952i | ||||
\(551\) | 8.84124 | + | 15.3135i | 0.376649 | + | 0.652376i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.33163 | − | 2.30646i | −0.0566269 | − | 0.0980806i | ||||
\(554\) | −11.6716 | −0.495878 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.63169 | + | 2.82618i | −0.0691992 | + | 0.119857i | ||||
\(557\) | −23.4458 | −0.993431 | −0.496716 | − | 0.867913i | \(-0.665461\pi\) | ||||
−0.496716 | + | 0.867913i | \(0.665461\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −17.0853 | + | 29.5925i | −0.722629 | + | 1.25163i | ||||
\(560\) | 31.3110 | + | 54.2322i | 1.32313 | + | 2.29173i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.81748 | + | 4.88001i | 0.118848 | + | 0.205851i | ||||
\(563\) | −2.33806 | + | 4.04963i | −0.0985373 | + | 0.170672i | −0.911079 | − | 0.412231i | \(-0.864750\pi\) |
0.812542 | + | 0.582902i | \(0.198083\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −19.8331 | − | 34.3520i | −0.834386 | − | 1.44520i | ||||
\(566\) | 15.4237 | + | 26.7146i | 0.648305 | + | 1.12290i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.14764 | + | 7.18392i | 0.174031 | + | 0.301431i | ||||
\(569\) | 13.8160 | − | 23.9300i | 0.579196 | − | 1.00320i | −0.416376 | − | 0.909193i | \(-0.636700\pi\) |
0.995572 | − | 0.0940041i | \(-0.0299667\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −13.7464 | − | 23.8094i | −0.575268 | − | 0.996393i | −0.996012 | − | 0.0892139i | \(-0.971565\pi\) |
0.420745 | − | 0.907179i | \(-0.361769\pi\) | |||||||
\(572\) | −21.6727 | + | 37.5382i | −0.906181 | + | 1.56955i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −31.8531 | + | 55.1713i | −1.32952 | + | 2.30280i | ||||
\(575\) | −2.62894 | + | 4.55345i | −0.109634 | + | 0.189892i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.2941 | − | 19.5620i | 0.470181 | − | 0.814377i | −0.529238 | − | 0.848474i | \(-0.677522\pi\) |
0.999419 | + | 0.0340963i | \(0.0108553\pi\) | |||||||
\(578\) | −15.9756 | − | 27.6706i | −0.664499 | − | 1.15095i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 5.21998 | + | 9.04127i | 0.216748 | + | 0.375418i | ||||
\(581\) | −1.11520 | −0.0462665 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 13.5652 | − | 23.4957i | 0.561814 | − | 0.973091i | ||||
\(584\) | −2.66302 | −0.110196 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −17.6181 | − | 30.5154i | −0.727795 | − | 1.26058i | ||||
\(587\) | −29.7551 | −1.22812 | −0.614061 | − | 0.789258i | \(-0.710465\pi\) | ||||
−0.614061 | + | 0.789258i | \(0.710465\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.16320 | + | 2.01473i | −0.0479290 | + | 0.0830154i | ||||
\(590\) | −8.82455 | + | 15.2846i | −0.363301 | + | 0.629256i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 20.9462 | − | 36.2800i | 0.860885 | − | 1.49110i | ||||
\(593\) | 3.30279 | − | 5.72060i | 0.135629 | − | 0.234917i | −0.790208 | − | 0.612838i | \(-0.790028\pi\) |
0.925838 | + | 0.377921i | \(0.123361\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −80.1113 | −3.28425 | ||||||||
\(596\) | −39.7158 | −1.62682 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 8.61192 | − | 14.9163i | 0.352168 | − | 0.609972i | ||||
\(599\) | 4.12365 | − | 7.14238i | 0.168488 | − | 0.291830i | −0.769400 | − | 0.638767i | \(-0.779445\pi\) |
0.937888 | + | 0.346937i | \(0.112778\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 15.2424 | + | 26.4006i | 0.621750 | + | 1.07690i | 0.989160 | + | 0.146843i | \(0.0469111\pi\) |
−0.367410 | + | 0.930059i | \(0.619756\pi\) | |||||||
\(602\) | −28.0085 | + | 48.5122i | −1.14154 | + | 1.97721i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 16.4448 | 0.669128 | ||||||||
\(605\) | −28.9582 | −1.17732 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −11.4524 | − | 19.8362i | −0.464839 | − | 0.805125i | 0.534355 | − | 0.845260i | \(-0.320555\pi\) |
−0.999194 | + | 0.0401349i | \(0.987221\pi\) | |||||||
\(608\) | 61.3780 | 2.48921 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 28.9153 | 1.17075 | ||||||||
\(611\) | 7.57076 | + | 13.1129i | 0.306280 | + | 0.530493i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 17.2924 | + | 29.9514i | 0.698435 | + | 1.20972i | 0.969009 | + | 0.247025i | \(0.0794531\pi\) |
−0.270574 | + | 0.962699i | \(0.587214\pi\) | |||||||
\(614\) | −24.8305 | − | 43.0077i | −1.00208 | − | 1.73565i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 6.71010 | − | 11.6222i | 0.270358 | − | 0.468273i | ||||
\(617\) | 29.0302 | 1.16871 | 0.584355 | − | 0.811498i | \(-0.301348\pi\) | ||||
0.584355 | + | 0.811498i | \(0.301348\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −31.1286 | −1.25116 | −0.625582 | − | 0.780159i | \(-0.715138\pi\) | ||||
−0.625582 | + | 0.780159i | \(0.715138\pi\) | |||||||
\(620\) | −0.686770 | + | 1.18952i | −0.0275814 | + | 0.0477723i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 4.57621 | + | 7.92624i | 0.183489 | + | 0.317813i | ||||
\(623\) | −15.3621 | − | 26.6080i | −0.615471 | − | 1.06603i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.3137 | + | 26.5241i | 0.612547 | + | 1.06096i | ||||
\(626\) | 41.8382 | 1.67219 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.6611 | 0.505231 | ||||||||
\(629\) | 26.7962 | + | 46.4124i | 1.06844 | + | 1.85059i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.60433 | 0.382342 | 0.191171 | − | 0.981557i | \(-0.438771\pi\) | ||||
0.191171 | + | 0.981557i | \(0.438771\pi\) | |||||||
\(632\) | 0.338512 | 0.0134653 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −19.1752 | + | 33.2124i | −0.761545 | + | 1.31903i | ||||
\(635\) | −19.3948 | − | 33.5928i | −0.769659 | − | 1.33309i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 44.9424 | − | 77.8426i | 1.78068 | − | 3.08424i | ||||
\(638\) | 9.49044 | − | 16.4379i | 0.375730 | − | 0.650784i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −13.8654 | −0.548077 | ||||||||
\(641\) | −41.4060 | −1.63544 | −0.817718 | − | 0.575618i | \(-0.804761\pi\) | ||||
−0.817718 | + | 0.575618i | \(0.804761\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.482002 | + | 0.834852i | −0.0190083 | + | 0.0329234i | −0.875373 | − | 0.483448i | \(-0.839384\pi\) |
0.856365 | + | 0.516371i | \(0.172718\pi\) | |||||||
\(644\) | 6.44986 | − | 11.1715i | 0.254160 | − | 0.440218i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −45.6583 | + | 79.0825i | −1.79640 | + | 3.11146i | ||||
\(647\) | −2.79514 | + | 4.84133i | −0.109888 | + | 0.190332i | −0.915725 | − | 0.401806i | \(-0.868383\pi\) |
0.805836 | + | 0.592138i | \(0.201716\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 14.6596 | 0.575439 | ||||||||
\(650\) | 17.7189 | + | 30.6900i | 0.694991 | + | 1.20376i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −13.1255 | −0.514034 | ||||||||
\(653\) | 11.7680 | − | 20.3828i | 0.460519 | − | 0.797642i | −0.538468 | − | 0.842646i | \(-0.680997\pi\) |
0.998987 | + | 0.0450038i | \(0.0143300\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −44.9169 | −1.75505 | ||||||||
\(656\) | −15.6920 | − | 27.1793i | −0.612669 | − | 1.06117i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 12.4110 | + | 21.4966i | 0.483833 | + | 0.838023i | ||||
\(659\) | 3.68407 | − | 6.38099i | 0.143511 | − | 0.248568i | −0.785305 | − | 0.619108i | \(-0.787494\pi\) |
0.928816 | + | 0.370540i | \(0.120827\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.0230 | + | 27.7526i | −0.623221 | + | 1.07945i | 0.365661 | + | 0.930748i | \(0.380843\pi\) |
−0.988882 | + | 0.148703i | \(0.952490\pi\) | |||||||
\(662\) | −15.5490 | + | 26.9316i | −0.604327 | + | 1.04673i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.0708735 | − | 0.122756i | 0.00275042 | − | 0.00476387i | ||||
\(665\) | 56.6452 | + | 98.1123i | 2.19660 | + | 3.80463i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.72288 | + | 2.98412i | −0.0667102 | + | 0.115545i | ||||
\(668\) | −1.98959 | − | 3.44606i | −0.0769794 | − | 0.133332i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.18259 | + | 3.78035i | 0.0843208 | + | 0.146048i | ||||
\(671\) | −12.0087 | − | 20.7997i | −0.463592 | − | 0.802965i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.688535 | + | 1.19258i | −0.0265411 | + | 0.0459705i | −0.878991 | − | 0.476839i | \(-0.841783\pi\) |
0.852450 | + | 0.522809i | \(0.175116\pi\) | |||||||
\(674\) | 26.0000 | + | 45.0333i | 1.00148 | + | 1.73462i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −15.5829 | − | 26.9905i | −0.599344 | − | 1.03809i | ||||
\(677\) | −17.4445 | + | 30.2148i | −0.670447 | + | 1.16125i | 0.307330 | + | 0.951603i | \(0.400564\pi\) |
−0.977777 | + | 0.209646i | \(0.932769\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 15.5991 | 0.598638 | ||||||||
\(680\) | 5.09124 | − | 8.81828i | 0.195240 | − | 0.338166i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 2.49723 | 0.0956240 | ||||||||
\(683\) | −14.8620 | − | 25.7417i | −0.568678 | − | 0.984980i | −0.996697 | − | 0.0812101i | \(-0.974122\pi\) |
0.428019 | − | 0.903770i | \(-0.359212\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −25.0298 | − | 43.3529i | −0.956339 | − | 1.65643i | ||||
\(686\) | 41.4599 | − | 71.8107i | 1.58295 | − | 2.74174i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −13.7980 | − | 23.8988i | −0.526044 | − | 0.911134i | ||||
\(689\) | 16.5978 | + | 28.7483i | 0.632327 | + | 1.09522i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.4939 | 0.855707 | 0.427854 | − | 0.903848i | \(-0.359270\pi\) | ||||
0.427854 | + | 0.903848i | \(0.359270\pi\) | |||||||
\(692\) | 12.5439 | − | 21.7266i | 0.476846 | − | 0.825921i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −26.1195 | −0.991484 | ||||||||
\(695\) | 2.79250 | − | 4.83675i | 0.105926 | − | 0.183469i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 40.1491 | 1.52075 | ||||||||
\(698\) | −15.3866 | −0.582391 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 13.2705 | + | 22.9851i | 0.501576 | + | 0.868755i | ||||
\(701\) | −4.21242 | + | 7.29613i | −0.159101 | + | 0.275571i | −0.934545 | − | 0.355846i | \(-0.884193\pi\) |
0.775444 | + | 0.631417i | \(0.217526\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 37.8942 | − | 65.6346i | 1.42921 | − | 2.47546i | ||||
\(704\) | −12.1340 | − | 21.0168i | −0.457319 | − | 0.792100i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 33.3798 | + | 57.8155i | 1.25627 | + | 2.17592i | ||||
\(707\) | 54.1105 | 2.03504 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.84828 | − | 10.1295i | −0.219637 | − | 0.380422i | 0.735060 | − | 0.678002i | \(-0.237154\pi\) |
−0.954697 | + | 0.297580i | \(0.903821\pi\) | |||||||
\(710\) | 37.5844 | + | 65.0982i | 1.41052 | + | 2.44309i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.90518 | 0.146353 | ||||||||
\(713\) | −0.453344 | −0.0169779 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 37.0909 | − | 64.2433i | 1.38712 | − | 2.40256i | ||||
\(716\) | 5.86246 | + | 10.1541i | 0.219090 | + | 0.379475i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 44.5976 | 1.66437 | ||||||||
\(719\) | −18.6207 | + | 32.2520i | −0.694435 | + | 1.20280i | 0.275935 | + | 0.961176i | \(0.411012\pi\) |
−0.970371 | + | 0.241621i | \(0.922321\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 23.8556 | + | 42.4357i | 0.888430 | + | 1.58039i | ||||
\(722\) | 92.6768 | 3.44907 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 2.37306 | 0.0881941 | ||||||||
\(725\) | −3.54479 | − | 6.13976i | −0.131650 | − | 0.228025i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.6235 | + | 25.3287i | −0.542356 | + | 0.939389i | 0.456412 | + | 0.889769i | \(0.349134\pi\) |
−0.998768 | + | 0.0496199i | \(0.984199\pi\) | |||||||
\(728\) | 8.21019 | + | 14.2205i | 0.304290 | + | 0.527045i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −24.1313 | −0.893141 | ||||||||
\(731\) | 35.3032 | 1.30573 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14.1834 | + | 24.5663i | 0.523874 | + | 0.907377i | 0.999614 | + | 0.0277907i | \(0.00884720\pi\) |
−0.475739 | + | 0.879586i | \(0.657819\pi\) | |||||||
\(734\) | 3.48594 | 0.128668 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.98033 | + | 10.3582i | 0.220438 | + | 0.381809i | ||||
\(737\) | 1.81289 | − | 3.14001i | 0.0667786 | − | 0.115664i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.94742 | + | 10.3012i | −0.218780 | + | 0.378937i | −0.954435 | − | 0.298419i | \(-0.903541\pi\) |
0.735656 | + | 0.677356i | \(0.236874\pi\) | |||||||
\(740\) | 22.3732 | − | 38.7515i | 0.822455 | − | 1.42453i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 27.2094 | + | 47.1281i | 0.998890 | + | 1.73013i | ||||
\(743\) | −42.1806 | −1.54746 | −0.773728 | − | 0.633518i | \(-0.781610\pi\) | ||||
−0.773728 | + | 0.633518i | \(0.781610\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 67.9701 | 2.49023 | ||||||||
\(746\) | −31.4511 | + | 54.4749i | −1.15151 | + | 1.99447i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 44.7821 | 1.63740 | ||||||||
\(749\) | −17.8975 | + | 30.9994i | −0.653960 | + | 1.13269i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.4076 | −0.416270 | −0.208135 | − | 0.978100i | \(-0.566739\pi\) | ||||
−0.208135 | + | 0.978100i | \(0.566739\pi\) | |||||||
\(752\) | −12.2282 | −0.445918 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 11.6121 | + | 20.1127i | 0.422888 | + | 0.732463i | ||||
\(755\) | −28.1438 | −1.02426 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.01855 | − | 5.22827i | −0.109711 | − | 0.190025i | 0.805942 | − | 0.591994i | \(-0.201659\pi\) |
−0.915653 | + | 0.401969i | \(0.868326\pi\) | |||||||
\(758\) | 1.17468 | 0.0426664 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −14.3997 | −0.522330 | ||||||||
\(761\) | −5.06703 | − | 8.77635i | −0.183680 | − | 0.318143i | 0.759451 | − | 0.650564i | \(-0.225468\pi\) |
−0.943131 | + | 0.332422i | \(0.892134\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 47.6750 | 1.72595 | ||||||||
\(764\) | −10.9547 | + | 18.9741i | −0.396328 | + | 0.686460i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −16.9971 | − | 29.4399i | −0.614131 | − | 1.06371i | ||||
\(767\) | −8.96842 | + | 15.5338i | −0.323831 | + | 0.560891i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 15.7710 | − | 27.3161i | 0.568716 | − | 0.985044i | −0.427978 | − | 0.903789i | \(-0.640774\pi\) |
0.996693 | − | 0.0812549i | \(-0.0258928\pi\) | |||||||
\(770\) | 60.8046 | − | 105.317i | 2.19124 | − | 3.79535i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.19719 | − | 5.53770i | −0.115069 | − | 0.199306i | ||||
\(773\) | 15.8587 | + | 27.4680i | 0.570397 | + | 0.987956i | 0.996525 | + | 0.0832934i | \(0.0265439\pi\) |
−0.426128 | + | 0.904663i | \(0.640123\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.466373 | − | 0.807782i | 0.0167526 | − | 0.0290164i | ||||
\(776\) | −0.991353 | + | 1.71707i | −0.0355875 | + | 0.0616393i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.87014 | − | 10.1674i | 0.210455 | − | 0.364518i | ||||
\(779\) | −28.3886 | − | 49.1705i | −1.01713 | − | 1.76172i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 31.2181 | − | 54.0714i | 1.11707 | − | 1.93483i | ||||
\(782\) | −17.7948 | −0.636339 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 36.2954 | + | 62.8654i | 1.29626 | + | 2.24519i | ||||
\(785\) | −21.6683 | −0.773375 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −45.7949 | −1.63241 | −0.816205 | − | 0.577762i | \(-0.803926\pi\) | ||||
−0.816205 | + | 0.577762i | \(0.803926\pi\) | |||||||
\(788\) | −9.02011 | − | 15.6233i | −0.321328 | − | 0.556556i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.06748 | 0.109136 | ||||||||
\(791\) | −33.0433 | − | 57.2326i | −1.17488 | − | 2.03496i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 29.3867 | 1.04355 | ||||||||
\(794\) | −12.3031 | −0.436619 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 16.5585 | − | 28.6802i | 0.586902 | − | 1.01654i | ||||
\(797\) | −5.99922 | −0.212503 | −0.106252 | − | 0.994339i | \(-0.533885\pi\) | ||||
−0.106252 | + | 0.994339i | \(0.533885\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.82171 | − | 13.5476i | 0.276712 | − | 0.479280i | ||||
\(800\) | −24.6088 | −0.870053 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −13.4372 | −0.474484 | ||||||||
\(803\) | 10.0219 | + | 17.3585i | 0.353666 | + | 0.612567i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −11.0384 | + | 19.1190i | −0.389051 | + | 0.673857i | ||||
\(806\) | −1.52775 | + | 2.64615i | −0.0538128 | + | 0.0932066i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −3.43883 | + | 5.95623i | −0.120978 | + | 0.209540i | ||||
\(809\) | 6.68623 | + | 11.5809i | 0.235075 | + | 0.407162i | 0.959295 | − | 0.282408i | \(-0.0911330\pi\) |
−0.724219 | + | 0.689570i | \(0.757800\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −24.0974 | −0.846174 | −0.423087 | − | 0.906089i | \(-0.639054\pi\) | ||||
−0.423087 | + | 0.906089i | \(0.639054\pi\) | |||||||
\(812\) | 8.69682 | + | 15.0633i | 0.305199 | + | 0.528620i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −81.3534 | −2.85144 | ||||||||
\(815\) | 22.4631 | 0.786849 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −24.9622 | − | 43.2357i | −0.873316 | − | 1.51263i | ||||
\(818\) | −11.3841 | + | 19.7178i | −0.398035 | + | 0.689416i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −16.7610 | − | 29.0309i | −0.585320 | − | 1.01380i | ||||
\(821\) | −20.7057 | −0.722632 | −0.361316 | − | 0.932443i | \(-0.617672\pi\) | ||||
−0.361316 | + | 0.932443i | \(0.617672\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −24.0998 | −0.840065 | −0.420033 | − | 0.907509i | \(-0.637981\pi\) | ||||
−0.420033 | + | 0.907509i | \(0.637981\pi\) | |||||||
\(824\) | −6.18720 | − | 0.0709604i | −0.215541 | − | 0.00247202i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −14.7023 | + | 25.4651i | −0.511558 | + | 0.886044i | ||||
\(827\) | −4.73851 | −0.164774 | −0.0823871 | − | 0.996600i | \(-0.526254\pi\) | ||||
−0.0823871 | + | 0.996600i | \(0.526254\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −12.5861 | − | 21.7998i | −0.437135 | − | 0.757140i | 0.560332 | − | 0.828268i | \(-0.310673\pi\) |
−0.997467 | + | 0.0711281i | \(0.977340\pi\) | |||||||
\(830\) | 0.642230 | − | 1.11238i | 0.0222921 | − | 0.0386111i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 29.6934 | 1.02943 | ||||||||
\(833\) | −92.8643 | −3.21756 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.40500 | + | 5.89764i | 0.117835 | + | 0.204096i | ||||
\(836\) | −31.6646 | − | 54.8446i | −1.09514 | − | 1.89684i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 27.7743 | 0.959449 | ||||||||
\(839\) | 13.4344 | + | 23.2690i | 0.463806 | + | 0.803335i | 0.999147 | − | 0.0413009i | \(-0.0131502\pi\) |
−0.535341 | + | 0.844636i | \(0.679817\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.1769 | + | 21.0910i | 0.419894 | + | 0.727277i | ||||
\(842\) | 10.7968 | − | 18.7006i | 0.372083 | − | 0.644467i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.10117 | + | 1.90729i | −0.0379039 | + | 0.0656516i | ||||
\(845\) | 26.6689 | + | 46.1918i | 0.917436 | + | 1.58905i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −48.2462 | −1.65776 | ||||||||
\(848\) | −26.8087 | −0.920614 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 18.3062 | − | 31.7072i | 0.627897 | − | 1.08755i | ||||
\(851\) | 14.7688 | 0.506267 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −8.98692 | + | 15.5658i | −0.307706 | + | 0.532963i | −0.977860 | − | 0.209259i | \(-0.932895\pi\) |
0.670154 | + | 0.742222i | \(0.266228\pi\) | |||||||
\(854\) | 48.1748 | 1.64851 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.27484 | − | 3.94014i | −0.0777525 | − | 0.134671i | ||||
\(857\) | 11.8587 | + | 20.5399i | 0.405087 | + | 0.701631i | 0.994332 | − | 0.106324i | \(-0.0339079\pi\) |
−0.589245 | + | 0.807955i | \(0.700575\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 7.42192 | − | 12.8551i | 0.253233 | − | 0.438612i | −0.711181 | − | 0.703009i | \(-0.751840\pi\) |
0.964414 | + | 0.264397i | \(0.0851729\pi\) | |||||||
\(860\) | −14.7380 | − | 25.5269i | −0.502561 | − | 0.870461i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1.43598 | − | 2.48720i | −0.0489098 | − | 0.0847143i | ||||
\(863\) | 37.4350 | 1.27430 | 0.637151 | − | 0.770739i | \(-0.280113\pi\) | ||||
0.637151 | + | 0.770739i | \(0.280113\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −21.4677 | + | 37.1832i | −0.729924 | + | 1.26427i | ||||
\(866\) | 59.7384 | 2.02999 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −1.14420 | + | 1.98182i | −0.0388368 | + | 0.0672673i | ||||
\(869\) | −1.27394 | − | 2.20654i | −0.0432156 | − | 0.0748516i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.21817 | + | 3.84198i | 0.0751599 | + | 0.130181i | ||||
\(872\) | −3.02984 | + | 5.24784i | −0.102603 | + | 0.177714i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 12.5823 | + | 21.7932i | 0.425604 | + | 0.737167i | ||||
\(875\) | 11.8141 | + | 20.4626i | 0.399389 | + | 0.691762i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.87629 | + | 4.98188i | 0.0971255 | + | 0.168226i | 0.910494 | − | 0.413523i | \(-0.135702\pi\) |
−0.813368 | + | 0.581749i | \(0.802369\pi\) | |||||||
\(878\) | 23.5328 | − | 40.7600i | 0.794193 | − | 1.37558i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 29.9545 | + | 51.8827i | 1.00977 | + | 1.74897i | ||||
\(881\) | 18.7875 | − | 32.5408i | 0.632965 | − | 1.09633i | −0.353977 | − | 0.935254i | \(-0.615171\pi\) |
0.986942 | − | 0.161074i | \(-0.0514958\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0.718036 | − | 1.24368i | 0.0241638 | − | 0.0418530i | −0.853691 | − | 0.520781i | \(-0.825641\pi\) |
0.877854 | + | 0.478928i | \(0.158974\pi\) | |||||||
\(884\) | −27.3967 | + | 47.4526i | −0.921452 | + | 1.59600i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 31.1175 | − | 53.8970i | 1.04541 | − | 1.81071i | ||||
\(887\) | 4.58583 | + | 7.94289i | 0.153977 | + | 0.266696i | 0.932686 | − | 0.360689i | \(-0.117458\pi\) |
−0.778709 | + | 0.627385i | \(0.784125\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −32.3130 | − | 55.9677i | −1.08374 | − | 1.87710i | ||||
\(890\) | 35.3874 | 1.18619 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1.93913 | − | 3.35867i | 0.0649269 | − | 0.112457i | ||||
\(893\) | −22.1223 | −0.740295 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −10.0331 | − | 17.3778i | −0.335369 | − | 0.580876i | ||||
\(896\) | −23.1006 | −0.771738 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 26.6921 | − | 46.2321i | 0.890727 | − | 1.54278i | ||||
\(899\) | 0.305639 | − | 0.529382i | 0.0101936 | − | 0.0176559i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 17.1480 | − | 29.7012i | 0.571282 | − | 0.989490i | ||||
\(902\) | −30.4732 | + | 52.7811i | −1.01465 | + | 1.75742i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 8.39987 | 0.279375 | ||||||||
\(905\) | −4.06128 | −0.135002 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −18.5670 | + | 32.1589i | −0.616506 | + | 1.06782i | 0.373613 | + | 0.927585i | \(0.378119\pi\) |
−0.990118 | + | 0.140234i | \(0.955214\pi\) | |||||||
\(908\) | 3.54244 | − | 6.13569i | 0.117560 | − | 0.203620i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 74.3978 | + | 128.861i | 2.46626 | + | 4.27170i | ||||
\(911\) | −1.49357 | + | 2.58695i | −0.0494843 | + | 0.0857094i | −0.889707 | − | 0.456533i | \(-0.849091\pi\) |
0.840222 | + | 0.542242i | \(0.182424\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.06689 | −0.0353089 | ||||||||
\(914\) | 34.4585 | 1.13978 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.12040 | − | 1.94059i | −0.0370191 | − | 0.0641190i | ||||
\(917\) | −74.8344 | −2.47125 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 48.1885 | 1.58959 | 0.794795 | − | 0.606877i | \(-0.207578\pi\) | ||||
0.794795 | + | 0.606877i | \(0.207578\pi\) | |||||||
\(920\) | −1.40302 | − | 2.43010i | −0.0462562 | − | 0.0801182i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −34.6575 | − | 60.0285i | −1.14138 | − | 1.97693i | ||||
\(923\) | 38.1972 | + | 66.1594i | 1.25728 | + | 2.17766i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −15.1932 | + | 26.3155i | −0.499550 | + | 0.865247i | ||||
\(926\) | −33.5646 | −1.10300 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −16.1274 | −0.529409 | ||||||||
\(929\) | −5.91698 | + | 10.2485i | −0.194130 | + | 0.336243i | −0.946615 | − | 0.322366i | \(-0.895522\pi\) |
0.752485 | + | 0.658609i | \(0.228855\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 65.6625 | + | 113.731i | 2.15200 | + | 3.72738i | ||||
\(932\) | 1.13175 | + | 1.96024i | 0.0370716 | + | 0.0642099i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 33.8854 | + | 58.6912i | 1.10876 | + | 1.92043i | ||||
\(935\) | −76.6407 | −2.50642 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 11.3060 | 0.369349 | 0.184675 | − | 0.982800i | \(-0.440877\pi\) | ||||
0.184675 | + | 0.982800i | \(0.440877\pi\) | |||||||
\(938\) | 3.63633 | + | 6.29831i | 0.118730 | + | 0.205647i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −13.0613 | −0.426012 | ||||||||
\(941\) | 28.2558 | 0.921111 | 0.460556 | − | 0.887631i | \(-0.347650\pi\) | ||||
0.460556 | + | 0.887631i | \(0.347650\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 5.53206 | − | 9.58180i | 0.180149 | − | 0.312026i | ||||
\(944\) | −7.24287 | − | 12.5450i | −0.235735 | − | 0.408305i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −26.7951 | + | 46.4105i | −0.871185 | + | 1.50894i | ||||
\(947\) | 3.12730 | − | 5.41664i | 0.101624 | − | 0.176017i | −0.810730 | − | 0.585420i | \(-0.800930\pi\) |
0.912354 | + | 0.409403i | \(0.134263\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −24.5248 | −0.796107 | ||||||||
\(950\) | −51.7758 | −1.67983 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 8.48233 | − | 14.6918i | 0.274914 | − | 0.476165i | ||||
\(953\) | −9.14825 | + | 15.8452i | −0.296341 | + | 0.513277i | −0.975296 | − | 0.220902i | \(-0.929100\pi\) |
0.678955 | + | 0.734180i | \(0.262433\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 18.7480 | − | 32.4726i | 0.606673 | − | 1.05079i | ||||
\(956\) | 16.9502 | − | 29.3586i | 0.548208 | − | 0.949524i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −10.1222 | −0.327034 | ||||||||
\(959\) | −41.7013 | − | 72.2287i | −1.34660 | − | 2.33239i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.9196 | −0.997406 | ||||||||
\(962\) | 49.7703 | − | 86.2046i | 1.60466 | − | 2.77935i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −19.8968 | −0.640832 | ||||||||
\(965\) | 5.47171 | + | 9.47729i | 0.176141 | + | 0.305085i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −10.7490 | − | 18.6178i | −0.345664 | − | 0.598708i | 0.639810 | − | 0.768533i | \(-0.279013\pi\) |
−0.985474 | + | 0.169825i | \(0.945680\pi\) | |||||||
\(968\) | 3.06615 | − | 5.31072i | 0.0985497 | − | 0.170693i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −8.98329 | + | 15.5595i | −0.288436 | + | 0.499586i | ||||
\(971\) | 15.0009 | − | 25.9823i | 0.481401 | − | 0.833811i | −0.518371 | − | 0.855156i | \(-0.673461\pi\) |
0.999772 | + | 0.0213448i | \(0.00679477\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.65249 | − | 8.05835i | 0.149152 | − | 0.258339i | ||||
\(974\) | −7.14104 | − | 12.3686i | −0.228814 | − | 0.396317i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −11.8663 | + | 20.5531i | −0.379832 | + | 0.657888i | ||||
\(977\) | −2.22445 | − | 3.85286i | −0.0711665 | − | 0.123264i | 0.828246 | − | 0.560364i | \(-0.189339\pi\) |
−0.899413 | + | 0.437100i | \(0.856006\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −14.6966 | − | 25.4553i | −0.469706 | − | 0.813554i | ||||
\(980\) | 38.7680 | + | 67.1481i | 1.23840 | + | 2.14497i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −15.6325 | + | 27.0763i | −0.498854 | + | 0.864040i | ||||
\(983\) | 12.2411 | + | 21.2022i | 0.390430 | + | 0.676244i | 0.992506 | − | 0.122194i | \(-0.0389932\pi\) |
−0.602077 | + | 0.798438i | \(0.705660\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 15.4371 | + | 26.7379i | 0.491868 | + | 0.851940i | ||||
\(986\) | 11.9970 | − | 20.7794i | 0.382062 | − | 0.661751i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 77.4868 | 2.46518 | ||||||||
\(989\) | 4.86435 | − | 8.42530i | 0.154677 | − | 0.267909i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −21.1163 | −0.670781 | −0.335391 | − | 0.942079i | \(-0.608868\pi\) | ||||
−0.335391 | + | 0.942079i | \(0.608868\pi\) | |||||||
\(992\) | −1.06091 | − | 1.83755i | −0.0336839 | − | 0.0583422i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 62.6181 | + | 108.458i | 1.98613 | + | 3.44007i | ||||
\(995\) | −28.3385 | + | 49.0837i | −0.898391 | + | 1.55606i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 25.8951 | + | 44.8517i | 0.820107 | + | 1.42047i | 0.905602 | + | 0.424129i | \(0.139420\pi\) |
−0.0854943 | + | 0.996339i | \(0.527247\pi\) | |||||||
\(998\) | −40.4079 | − | 69.9886i | −1.27909 | − | 2.21545i | ||||
\(999\) | 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 | 927.2.f.f.262.4 | yes | 32 | |
3.2 | odd | 2 | inner | 927.2.f.f.262.13 | yes | 32 | |
103.46 | even | 3 | inner | 927.2.f.f.46.4 | ✓ | 32 | |
309.149 | odd | 6 | inner | 927.2.f.f.46.13 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
927.2.f.f.46.4 | ✓ | 32 | 103.46 | even | 3 | inner | |
927.2.f.f.46.13 | yes | 32 | 309.149 | odd | 6 | inner | |
927.2.f.f.262.4 | yes | 32 | 1.1 | even | 1 | trivial | |
927.2.f.f.262.13 | yes | 32 | 3.2 | odd | 2 | inner |