Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,3,Mod(26,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.26");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.l (of order \(10\), degree \(4\), 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: | \(2.69755461717\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 71.3 | ||
Character | \(\chi\) | \(=\) | 99.71 |
Dual form | 99.3.l.a.53.3 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28527 | + | 0.417608i | −0.642633 | + | 0.208804i | −0.612163 | − | 0.790732i | \(-0.709700\pi\) |
−0.0304699 | + | 0.999536i | \(0.509700\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.75856 | + | 1.27767i | −0.439639 | + | 0.319416i | ||||
\(5\) | −4.85485 | − | 1.57744i | −0.970970 | − | 0.315487i | −0.219762 | − | 0.975553i | \(-0.570528\pi\) |
−0.751207 | + | 0.660066i | \(0.770528\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 10.6531 | − | 7.73991i | 1.52187 | − | 1.10570i | 0.561314 | − | 0.827603i | \(-0.310296\pi\) |
0.960553 | − | 0.278098i | \(-0.0897040\pi\) | |||||||
\(8\) | 4.90400 | − | 6.74978i | 0.613000 | − | 0.843722i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 6.89852 | 0.689852 | ||||||||
\(11\) | −4.16151 | − | 10.1824i | −0.378319 | − | 0.925675i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.825159 | − | 2.53958i | −0.0634737 | − | 0.195352i | 0.914291 | − | 0.405059i | \(-0.132749\pi\) |
−0.977764 | + | 0.209707i | \(0.932749\pi\) | |||||||
\(14\) | −10.4598 | + | 14.3966i | −0.747127 | + | 1.02833i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.797348 | + | 2.45398i | −0.0498342 | + | 0.153374i | ||||
\(17\) | 16.3735 | + | 5.32007i | 0.963146 | + | 0.312945i | 0.748046 | − | 0.663647i | \(-0.230992\pi\) |
0.215100 | + | 0.976592i | \(0.430992\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −24.7742 | − | 17.9995i | −1.30391 | − | 0.947344i | −0.303922 | − | 0.952697i | \(-0.598296\pi\) |
−0.999986 | + | 0.00535276i | \(0.998296\pi\) | |||||||
\(20\) | 10.5530 | − | 3.42886i | 0.527648 | − | 0.171443i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 9.60091 | + | 11.3492i | 0.436405 | + | 0.515875i | ||||
\(23\) | − | 15.5309i | − | 0.675257i | −0.941279 | − | 0.337628i | \(-0.890375\pi\) | ||
0.941279 | − | 0.337628i | \(-0.109625\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.855829 | + | 0.621796i | 0.0342332 | + | 0.0248718i | ||||
\(26\) | 2.12110 | + | 2.91944i | 0.0815806 | + | 0.112286i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −8.84500 | + | 27.2221i | −0.315893 | + | 0.972218i | ||||
\(29\) | 6.10287 | + | 8.39987i | 0.210444 | + | 0.289651i | 0.901170 | − | 0.433465i | \(-0.142709\pi\) |
−0.690727 | + | 0.723116i | \(0.742709\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.21245 | + | 16.0423i | 0.168144 | + | 0.517493i | 0.999254 | − | 0.0386144i | \(-0.0122944\pi\) |
−0.831111 | + | 0.556107i | \(0.812294\pi\) | |||||||
\(32\) | 29.8857i | 0.933929i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −23.2660 | −0.684294 | ||||||||
\(35\) | −63.9282 | + | 20.7715i | −1.82652 | + | 0.593473i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −15.1698 | + | 11.0215i | −0.409996 | + | 0.297879i | −0.773600 | − | 0.633674i | \(-0.781546\pi\) |
0.363604 | + | 0.931553i | \(0.381546\pi\) | |||||||
\(38\) | 39.3582 | + | 12.7883i | 1.03574 | + | 0.336533i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −34.4555 | + | 25.0334i | −0.861388 | + | 0.625835i | ||||
\(41\) | −7.85173 | + | 10.8070i | −0.191506 | + | 0.263585i | −0.893963 | − | 0.448141i | \(-0.852086\pi\) |
0.702457 | + | 0.711726i | \(0.252086\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.5356 | 0.245015 | 0.122507 | − | 0.992468i | \(-0.460907\pi\) | ||||
0.122507 | + | 0.992468i | \(0.460907\pi\) | |||||||
\(44\) | 20.3280 | + | 12.5893i | 0.462000 | + | 0.286122i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.48583 | + | 19.9613i | 0.140996 | + | 0.433942i | ||||
\(47\) | 48.3198 | − | 66.5065i | 1.02808 | − | 1.41503i | 0.121700 | − | 0.992567i | \(-0.461165\pi\) |
0.906380 | − | 0.422464i | \(-0.138835\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 38.4399 | − | 118.306i | 0.784487 | − | 2.41440i | ||||
\(50\) | −1.35963 | − | 0.441772i | −0.0271927 | − | 0.00883544i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.69582 | + | 3.41171i | 0.0903042 | + | 0.0656098i | ||||
\(53\) | −59.9022 | + | 19.4634i | −1.13023 | + | 0.367234i | −0.813663 | − | 0.581336i | \(-0.802530\pi\) |
−0.316567 | + | 0.948570i | \(0.602530\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.14138 | + | 55.9987i | 0.0752978 | + | 1.01816i | ||||
\(56\) | − | 109.862i | − | 1.96183i | ||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −11.3517 | − | 8.24747i | −0.195718 | − | 0.142198i | ||||
\(59\) | 38.7385 | + | 53.3189i | 0.656584 | + | 0.903711i | 0.999362 | − | 0.0357057i | \(-0.0113679\pi\) |
−0.342778 | + | 0.939416i | \(0.611368\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 11.2965 | − | 34.7670i | 0.185188 | − | 0.569951i | −0.814763 | − | 0.579794i | \(-0.803133\pi\) |
0.999952 | + | 0.00984300i | \(0.00313318\pi\) | |||||||
\(62\) | −13.3988 | − | 18.4418i | −0.216109 | − | 0.297449i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −15.6699 | − | 48.2271i | −0.244843 | − | 0.753548i | ||||
\(65\) | 13.6309i | 0.209706i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 60.5815 | 0.904202 | 0.452101 | − | 0.891967i | \(-0.350675\pi\) | ||||
0.452101 | + | 0.891967i | \(0.350675\pi\) | |||||||
\(68\) | −35.5909 | + | 11.5642i | −0.523396 | + | 0.170062i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 73.4904 | − | 53.3939i | 1.04986 | − | 0.762770i | ||||
\(71\) | 46.7818 | + | 15.2003i | 0.658899 | + | 0.214089i | 0.619334 | − | 0.785128i | \(-0.287403\pi\) |
0.0395649 | + | 0.999217i | \(0.487403\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.15593 | + | 3.74600i | −0.0706291 | + | 0.0513151i | −0.622540 | − | 0.782588i | \(-0.713899\pi\) |
0.551910 | + | 0.833903i | \(0.313899\pi\) | |||||||
\(74\) | 14.8946 | − | 20.5007i | 0.201278 | − | 0.277036i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 66.5643 | 0.875846 | ||||||||
\(77\) | −123.144 | − | 76.2644i | −1.59927 | − | 0.990447i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 35.5533 | + | 109.422i | 0.450042 | + | 1.38509i | 0.876859 | + | 0.480748i | \(0.159635\pi\) |
−0.426817 | + | 0.904338i | \(0.640365\pi\) | |||||||
\(80\) | 7.74201 | − | 10.6560i | 0.0967751 | − | 0.133199i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.57848 | − | 17.1688i | 0.0680302 | − | 0.209375i | ||||
\(83\) | −38.5111 | − | 12.5130i | −0.463989 | − | 0.150759i | 0.0676879 | − | 0.997707i | \(-0.478438\pi\) |
−0.531677 | + | 0.846947i | \(0.678438\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −71.0987 | − | 51.6562i | −0.836455 | − | 0.607720i | ||||
\(86\) | −13.5411 | + | 4.39977i | −0.157454 | + | 0.0511601i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −89.1372 | − | 21.8454i | −1.01292 | − | 0.248243i | ||||
\(89\) | − | 71.1308i | − | 0.799222i | −0.916685 | − | 0.399611i | \(-0.869145\pi\) | ||
0.916685 | − | 0.399611i | \(-0.130855\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −28.4466 | − | 20.6676i | −0.312600 | − | 0.227117i | ||||
\(92\) | 19.8433 | + | 27.3120i | 0.215688 | + | 0.296869i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −34.3301 | + | 105.657i | −0.365214 | + | 1.12401i | ||||
\(95\) | 91.8821 | + | 126.465i | 0.967180 | + | 1.33121i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.76879 | + | 17.7545i | 0.0594721 | + | 0.183036i | 0.976379 | − | 0.216065i | \(-0.0693223\pi\) |
−0.916907 | + | 0.399101i | \(0.869322\pi\) | |||||||
\(98\) | 168.107i | 1.71538i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.29947 | −0.0229947 | ||||||||
\(101\) | −44.7592 | + | 14.5432i | −0.443161 | + | 0.143992i | −0.522093 | − | 0.852888i | \(-0.674849\pi\) |
0.0789326 | + | 0.996880i | \(0.474849\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −90.1550 | + | 65.5015i | −0.875292 | + | 0.635937i | −0.932002 | − | 0.362454i | \(-0.881939\pi\) |
0.0567100 | + | 0.998391i | \(0.481939\pi\) | |||||||
\(104\) | −21.1882 | − | 6.88445i | −0.203732 | − | 0.0661966i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 68.8622 | − | 50.0313i | 0.649643 | − | 0.471993i | ||||
\(107\) | 65.1737 | − | 89.7039i | 0.609100 | − | 0.838354i | −0.387403 | − | 0.921910i | \(-0.626628\pi\) |
0.996503 | + | 0.0835565i | \(0.0266279\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 118.337 | 1.08566 | 0.542832 | − | 0.839841i | \(-0.317352\pi\) | ||||
0.542832 | + | 0.839841i | \(0.317352\pi\) | |||||||
\(110\) | −28.7083 | − | 70.2437i | −0.260984 | − | 0.638579i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 10.4994 | + | 32.3139i | 0.0937447 | + | 0.288517i | ||||
\(113\) | −40.7594 | + | 56.1005i | −0.360702 | + | 0.496464i | −0.950344 | − | 0.311200i | \(-0.899269\pi\) |
0.589642 | + | 0.807665i | \(0.299269\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −24.4990 | + | 75.4002i | −0.213035 | + | 0.655654i | ||||
\(116\) | −21.4645 | − | 6.97423i | −0.185038 | − | 0.0601226i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −72.0557 | − | 52.3515i | −0.610641 | − | 0.443657i | ||||
\(119\) | 215.605 | − | 70.0542i | 1.81180 | − | 0.588691i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −86.3637 | + | 84.7486i | −0.713749 | + | 0.700401i | ||||
\(122\) | 49.4023i | 0.404937i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −29.6630 | − | 21.5515i | −0.239218 | − | 0.173802i | ||||
\(125\) | 71.8375 | + | 98.8758i | 0.574700 | + | 0.791006i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.32960 | − | 10.2475i | 0.0262174 | − | 0.0806887i | −0.937092 | − | 0.349083i | \(-0.886493\pi\) |
0.963309 | + | 0.268394i | \(0.0864931\pi\) | |||||||
\(128\) | −29.9855 | − | 41.2716i | −0.234262 | − | 0.322434i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.69237 | − | 17.5193i | −0.0437875 | − | 0.134764i | ||||
\(131\) | 92.0724i | 0.702843i | 0.936217 | + | 0.351421i | \(0.114302\pi\) | ||||
−0.936217 | + | 0.351421i | \(0.885698\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −403.236 | −3.03185 | ||||||||
\(134\) | −77.8633 | + | 25.2993i | −0.581070 | + | 0.188801i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 116.205 | − | 84.4277i | 0.854447 | − | 0.620792i | ||||
\(137\) | 188.928 | + | 61.3865i | 1.37904 | + | 0.448077i | 0.902353 | − | 0.430998i | \(-0.141838\pi\) |
0.476685 | + | 0.879074i | \(0.341838\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 48.1649 | − | 34.9938i | 0.346510 | − | 0.251754i | −0.400894 | − | 0.916125i | \(-0.631300\pi\) |
0.747403 | + | 0.664371i | \(0.231300\pi\) | |||||||
\(140\) | 85.8823 | − | 118.207i | 0.613445 | − | 0.844335i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −66.4748 | −0.468133 | ||||||||
\(143\) | −22.4252 | + | 18.9706i | −0.156819 | + | 0.132661i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −16.3782 | − | 50.4070i | −0.112953 | − | 0.347634i | ||||
\(146\) | 5.06238 | − | 6.96776i | 0.0346738 | − | 0.0477244i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 12.5952 | − | 38.7640i | 0.0851025 | − | 0.261919i | ||||
\(149\) | −13.8516 | − | 4.50065i | −0.0929636 | − | 0.0302057i | 0.262166 | − | 0.965023i | \(-0.415563\pi\) |
−0.355129 | + | 0.934817i | \(0.615563\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 197.075 | + | 143.183i | 1.30513 | + | 0.948234i | 0.999992 | − | 0.00407377i | \(-0.00129672\pi\) |
0.305140 | + | 0.952307i | \(0.401297\pi\) | |||||||
\(152\) | −242.986 | + | 78.9509i | −1.59859 | + | 0.519414i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 190.121 | + | 46.5941i | 1.23455 | + | 0.302559i | ||||
\(155\) | − | 86.1051i | − | 0.555517i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 89.8278 | + | 65.2637i | 0.572151 | + | 0.415692i | 0.835886 | − | 0.548903i | \(-0.184954\pi\) |
−0.263735 | + | 0.964595i | \(0.584954\pi\) | |||||||
\(158\) | −91.3909 | − | 125.789i | −0.578423 | − | 0.796131i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 47.1428 | − | 145.091i | 0.294643 | − | 0.906817i | ||||
\(161\) | −120.208 | − | 165.452i | −0.746632 | − | 1.02765i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 38.0567 | + | 117.126i | 0.233477 | + | 0.718567i | 0.997320 | + | 0.0731653i | \(0.0233101\pi\) |
−0.763843 | + | 0.645402i | \(0.776690\pi\) | |||||||
\(164\) | − | 29.0365i | − | 0.177052i | ||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 54.7225 | 0.329654 | ||||||||
\(167\) | −217.801 | + | 70.7679i | −1.30420 | + | 0.423760i | −0.877040 | − | 0.480417i | \(-0.840485\pi\) |
−0.427159 | + | 0.904177i | \(0.640485\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 130.955 | − | 95.1446i | 0.774883 | − | 0.562986i | ||||
\(170\) | 112.953 | + | 36.7006i | 0.664428 | + | 0.215886i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −18.5275 | + | 13.4610i | −0.107718 | + | 0.0782617i | ||||
\(173\) | −101.498 | + | 139.699i | −0.586691 | + | 0.807511i | −0.994409 | − | 0.105597i | \(-0.966325\pi\) |
0.407718 | + | 0.913108i | \(0.366325\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 13.9298 | 0.0795991 | ||||||||
\(176\) | 28.3057 | − | 2.09335i | 0.160828 | − | 0.0118940i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 29.7048 | + | 91.4220i | 0.166881 | + | 0.513607i | ||||
\(179\) | 107.266 | − | 147.639i | 0.599252 | − | 0.824800i | −0.396387 | − | 0.918083i | \(-0.629736\pi\) |
0.995640 | + | 0.0932832i | \(0.0297362\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 37.6199 | − | 115.782i | 0.207845 | − | 0.639680i | −0.791740 | − | 0.610858i | \(-0.790824\pi\) |
0.999585 | − | 0.0288218i | \(-0.00917553\pi\) | |||||||
\(182\) | 45.1924 | + | 14.6839i | 0.248310 | + | 0.0806807i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −104.830 | − | 76.1636i | −0.569729 | − | 0.413932i | ||||
\(185\) | 91.0330 | − | 29.5784i | 0.492071 | − | 0.159883i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −13.9672 | − | 188.861i | −0.0746910 | − | 1.00995i | ||||
\(188\) | 178.692i | 0.950488i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −170.906 | − | 124.170i | −0.899503 | − | 0.653528i | ||||
\(191\) | −184.809 | − | 254.368i | −0.967588 | − | 1.33177i | −0.943256 | − | 0.332067i | \(-0.892254\pi\) |
−0.0243324 | − | 0.999704i | \(-0.507746\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 38.4388 | − | 118.302i | 0.199165 | − | 0.612966i | −0.800738 | − | 0.599015i | \(-0.795559\pi\) |
0.999903 | − | 0.0139512i | \(-0.00444094\pi\) | |||||||
\(194\) | −14.8289 | − | 20.4102i | −0.0764374 | − | 0.105207i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 83.5565 | + | 257.161i | 0.426309 | + | 1.31204i | ||||
\(197\) | − | 193.993i | − | 0.984738i | −0.870387 | − | 0.492369i | \(-0.836131\pi\) | ||
0.870387 | − | 0.492369i | \(-0.163869\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −67.6934 | −0.340168 | −0.170084 | − | 0.985430i | \(-0.554404\pi\) | ||||
−0.170084 | + | 0.985430i | \(0.554404\pi\) | |||||||
\(200\) | 8.39397 | − | 2.72737i | 0.0419699 | − | 0.0136368i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 51.4542 | − | 37.3837i | 0.254724 | − | 0.185068i | ||||
\(203\) | 130.028 | + | 42.2488i | 0.640534 | + | 0.208122i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 55.1663 | − | 40.0806i | 0.269104 | − | 0.195515i | ||||
\(206\) | 88.5193 | − | 121.836i | 0.429705 | − | 0.591438i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 6.89002 | 0.0331251 | ||||||||
\(209\) | −80.1807 | + | 327.167i | −0.383640 | + | 1.56539i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 23.1912 | + | 71.3752i | 0.109911 | + | 0.338271i | 0.990852 | − | 0.134955i | \(-0.0430891\pi\) |
−0.880941 | + | 0.473227i | \(0.843089\pi\) | |||||||
\(212\) | 80.4736 | − | 110.762i | 0.379593 | − | 0.522464i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −46.3044 | + | 142.510i | −0.216376 | + | 0.665936i | ||||
\(215\) | −51.1489 | − | 16.6193i | −0.237902 | − | 0.0772990i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 179.694 | + | 130.556i | 0.828084 | + | 0.601638i | ||||
\(218\) | −152.095 | + | 49.4187i | −0.697684 | + | 0.226691i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −78.8304 | − | 93.1855i | −0.358320 | − | 0.423570i | ||||
\(221\) | − | 45.9716i | − | 0.208016i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.83651 | + | 3.51393i | 0.0216884 | + | 0.0157575i | 0.598577 | − | 0.801066i | \(-0.295733\pi\) |
−0.576888 | + | 0.816823i | \(0.695733\pi\) | |||||||
\(224\) | 231.313 | + | 318.375i | 1.03265 | + | 1.42132i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 28.9586 | − | 89.1255i | 0.128136 | − | 0.394361i | ||||
\(227\) | 98.9713 | + | 136.222i | 0.435997 | + | 0.600098i | 0.969317 | − | 0.245815i | \(-0.0790557\pi\) |
−0.533320 | + | 0.845914i | \(0.679056\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −108.832 | − | 334.950i | −0.475249 | − | 1.46267i | −0.845622 | − | 0.533782i | \(-0.820770\pi\) |
0.370373 | − | 0.928883i | \(-0.379230\pi\) | |||||||
\(230\) | − | 107.140i | − | 0.465827i | ||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 86.6257 | 0.373387 | ||||||||
\(233\) | 338.664 | − | 110.039i | 1.45349 | − | 0.472268i | 0.527417 | − | 0.849606i | \(-0.323160\pi\) |
0.926076 | + | 0.377338i | \(0.123160\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −339.495 | + | 246.657i | −1.44466 | + | 1.04961i | ||||
\(236\) | −136.248 | − | 44.2695i | −0.577320 | − | 0.187583i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −247.854 | + | 180.077i | −1.04140 | + | 0.756624i | ||||
\(239\) | −10.2500 | + | 14.1079i | −0.0428871 | + | 0.0590290i | −0.829922 | − | 0.557879i | \(-0.811615\pi\) |
0.787035 | + | 0.616908i | \(0.211615\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −98.6722 | −0.409428 | −0.204714 | − | 0.978822i | \(-0.565626\pi\) | ||||
−0.204714 | + | 0.978822i | \(0.565626\pi\) | |||||||
\(242\) | 75.6086 | − | 144.991i | 0.312432 | − | 0.599135i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 24.5551 | + | 75.5728i | 0.100636 | + | 0.309725i | ||||
\(245\) | −373.239 | + | 513.720i | −1.52343 | + | 2.09682i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −25.2685 | + | 77.7686i | −0.102302 | + | 0.314852i | ||||
\(248\) | 133.844 | + | 43.4884i | 0.539692 | + | 0.175357i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −133.622 | − | 97.0818i | −0.534486 | − | 0.388327i | ||||
\(251\) | 168.627 | − | 54.7903i | 0.671821 | − | 0.218288i | 0.0468100 | − | 0.998904i | \(-0.485094\pi\) |
0.625011 | + | 0.780616i | \(0.285094\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −158.142 | + | 64.6320i | −0.625068 | + | 0.255463i | ||||
\(254\) | 14.5612i | 0.0573275i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 219.872 | + | 159.747i | 0.858876 | + | 0.624010i | ||||
\(257\) | −67.7862 | − | 93.2997i | −0.263760 | − | 0.363034i | 0.656511 | − | 0.754316i | \(-0.272032\pi\) |
−0.920271 | + | 0.391283i | \(0.872032\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −76.2997 | + | 234.826i | −0.294593 | + | 0.906665i | ||||
\(260\) | −17.4157 | − | 23.9707i | −0.0669836 | − | 0.0921950i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −38.4502 | − | 118.338i | −0.146756 | − | 0.451670i | ||||
\(263\) | 236.953i | 0.900964i | 0.892786 | + | 0.450482i | \(0.148748\pi\) | ||||
−0.892786 | + | 0.450482i | \(0.851252\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 321.518 | 1.21328 | ||||||||
\(266\) | 518.266 | − | 168.395i | 1.94837 | − | 0.633063i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −106.536 | + | 77.4029i | −0.397522 | + | 0.288817i | ||||
\(269\) | −502.614 | − | 163.309i | −1.86845 | − | 0.607097i | −0.992104 | − | 0.125419i | \(-0.959973\pi\) |
−0.876348 | − | 0.481678i | \(-0.840027\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 144.762 | − | 105.176i | 0.534178 | − | 0.388103i | −0.287740 | − | 0.957708i | \(-0.592904\pi\) |
0.821918 | + | 0.569606i | \(0.192904\pi\) | |||||||
\(272\) | −26.1107 | + | 35.9383i | −0.0959953 | + | 0.132126i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −268.458 | −0.979775 | ||||||||
\(275\) | 2.76985 | − | 11.3020i | 0.0100722 | − | 0.0410983i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −88.4454 | − | 272.207i | −0.319297 | − | 0.982696i | −0.973949 | − | 0.226766i | \(-0.927185\pi\) |
0.654652 | − | 0.755930i | \(-0.272815\pi\) | |||||||
\(278\) | −47.2910 | + | 65.0904i | −0.170111 | + | 0.234138i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −173.301 | + | 533.365i | −0.618932 | + | 1.90488i | ||||
\(281\) | −241.030 | − | 78.3155i | −0.857760 | − | 0.278703i | −0.153067 | − | 0.988216i | \(-0.548915\pi\) |
−0.704693 | + | 0.709513i | \(0.748915\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 229.170 | + | 166.502i | 0.809788 | + | 0.588346i | 0.913769 | − | 0.406234i | \(-0.133158\pi\) |
−0.103981 | + | 0.994579i | \(0.533158\pi\) | |||||||
\(284\) | −101.689 | + | 33.0409i | −0.358061 | + | 0.116341i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 20.9000 | − | 33.7472i | 0.0730769 | − | 0.117997i | ||||
\(287\) | 175.899i | 0.612889i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.98182 | + | 4.34605i | 0.0206983 | + | 0.0150382i | ||||
\(290\) | 42.1008 | + | 57.9467i | 0.145175 | + | 0.199816i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4.28085 | − | 13.1751i | 0.0146604 | − | 0.0451202i | ||||
\(293\) | 175.920 | + | 242.133i | 0.600409 | + | 0.826393i | 0.995746 | − | 0.0921437i | \(-0.0293719\pi\) |
−0.395336 | + | 0.918536i | \(0.629372\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −103.962 | − | 319.963i | −0.352414 | − | 1.08462i | ||||
\(296\) | 156.443i | 0.528523i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 19.6825 | 0.0660485 | ||||||||
\(299\) | −39.4419 | + | 12.8155i | −0.131913 | + | 0.0428611i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 112.237 | − | 81.5448i | 0.372880 | − | 0.270913i | ||||
\(302\) | −313.088 | − | 101.729i | −1.03672 | − | 0.336849i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 63.9243 | − | 46.4437i | 0.210277 | − | 0.152775i | ||||
\(305\) | −109.685 | + | 150.969i | −0.359624 | + | 0.494980i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 111.839 | 0.364296 | 0.182148 | − | 0.983271i | \(-0.441695\pi\) | ||||
0.182148 | + | 0.983271i | \(0.441695\pi\) | |||||||
\(308\) | 313.996 | − | 23.2215i | 1.01947 | − | 0.0753946i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 35.9582 | + | 110.668i | 0.115994 | + | 0.356993i | ||||
\(311\) | 209.419 | − | 288.240i | 0.673372 | − | 0.926817i | −0.326459 | − | 0.945211i | \(-0.605855\pi\) |
0.999831 | + | 0.0183943i | \(0.00585541\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 104.677 | − | 322.163i | 0.334431 | − | 1.02927i | −0.632570 | − | 0.774503i | \(-0.718000\pi\) |
0.967001 | − | 0.254771i | \(-0.0820000\pi\) | |||||||
\(314\) | −142.707 | − | 46.3684i | −0.454482 | − | 0.147670i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −202.327 | − | 146.999i | −0.640275 | − | 0.465187i | ||||
\(317\) | 384.837 | − | 125.041i | 1.21400 | − | 0.394452i | 0.369105 | − | 0.929388i | \(-0.379664\pi\) |
0.844893 | + | 0.534936i | \(0.179664\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 60.1340 | − | 97.0982i | 0.188508 | − | 0.304383i | ||||
\(320\) | 258.853i | 0.808917i | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 223.593 | + | 162.450i | 0.694388 | + | 0.504502i | ||||
\(323\) | −309.882 | − | 426.516i | −0.959386 | − | 1.32048i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.872904 | − | 2.68652i | 0.00268586 | − | 0.00826623i | ||||
\(326\) | −97.8259 | − | 134.646i | −0.300080 | − | 0.413024i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 34.4398 | + | 105.995i | 0.104999 | + | 0.323155i | ||||
\(329\) | − | 1082.49i | − | 3.29024i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 634.065 | 1.91561 | 0.957803 | − | 0.287426i | \(-0.0927995\pi\) | ||||
0.957803 | + | 0.287426i | \(0.0927995\pi\) | |||||||
\(332\) | 83.7113 | − | 27.1994i | 0.252142 | − | 0.0819260i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 250.379 | − | 181.911i | 0.749639 | − | 0.544644i | ||||
\(335\) | −294.114 | − | 95.5634i | −0.877952 | − | 0.285264i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −192.071 | + | 139.547i | −0.569942 | + | 0.414087i | −0.835084 | − | 0.550122i | \(-0.814581\pi\) |
0.265142 | + | 0.964209i | \(0.414581\pi\) | |||||||
\(338\) | −128.579 | + | 176.974i | −0.380412 | + | 0.523592i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 191.030 | 0.561854 | ||||||||
\(341\) | 141.658 | − | 119.835i | 0.415418 | − | 0.351424i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −306.786 | − | 944.192i | −0.894421 | − | 2.75275i | ||||
\(344\) | 51.6667 | − | 71.1132i | 0.150194 | − | 0.206724i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 72.1117 | − | 221.937i | 0.208415 | − | 0.641436i | ||||
\(347\) | 463.624 | + | 150.641i | 1.33609 | + | 0.434123i | 0.887992 | − | 0.459859i | \(-0.152100\pi\) |
0.448102 | + | 0.893983i | \(0.352100\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −30.7829 | − | 22.3651i | −0.0882033 | − | 0.0640834i | 0.542810 | − | 0.839856i | \(-0.317361\pi\) |
−0.631013 | + | 0.775772i | \(0.717361\pi\) | |||||||
\(350\) | −17.9036 | + | 5.81722i | −0.0511530 | + | 0.0166206i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 304.309 | − | 124.370i | 0.864515 | − | 0.353323i | ||||
\(353\) | 90.5379i | 0.256481i | 0.991743 | + | 0.128241i | \(0.0409330\pi\) | ||||
−0.991743 | + | 0.128241i | \(0.959067\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −203.141 | − | 147.591i | −0.572228 | − | 0.415748i | ||||
\(356\) | 90.8813 | + | 125.087i | 0.255285 | + | 0.351369i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −76.2102 | + | 234.551i | −0.212878 | + | 0.655170i | ||||
\(359\) | 65.8242 | + | 90.5992i | 0.183354 | + | 0.252366i | 0.890793 | − | 0.454409i | \(-0.150150\pi\) |
−0.707439 | + | 0.706775i | \(0.750150\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 178.224 | + | 548.519i | 0.493697 | + | 1.51944i | ||||
\(362\) | 164.521i | 0.454478i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 76.4312 | 0.209976 | ||||||||
\(365\) | 30.9403 | − | 10.0531i | 0.0847680 | − | 0.0275428i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −274.088 | + | 199.136i | −0.746833 | + | 0.542606i | −0.894844 | − | 0.446380i | \(-0.852713\pi\) |
0.148010 | + | 0.988986i | \(0.452713\pi\) | |||||||
\(368\) | 38.1126 | + | 12.3835i | 0.103567 | + | 0.0336509i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −104.649 | + | 76.0323i | −0.282836 | + | 0.205493i | ||||
\(371\) | −487.497 | + | 670.982i | −1.31401 | + | 1.80858i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −554.596 | −1.48685 | −0.743427 | − | 0.668818i | \(-0.766801\pi\) | ||||
−0.743427 | + | 0.668818i | \(0.766801\pi\) | |||||||
\(374\) | 96.8216 | + | 236.904i | 0.258881 | + | 0.633434i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −211.944 | − | 652.295i | −0.563680 | − | 1.73483i | ||||
\(377\) | 16.2963 | − | 22.4299i | 0.0432262 | − | 0.0594958i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −77.6587 | + | 239.009i | −0.204904 | + | 0.630631i | 0.794813 | + | 0.606854i | \(0.207569\pi\) |
−0.999717 | + | 0.0237762i | \(0.992431\pi\) | |||||||
\(380\) | −323.160 | − | 105.001i | −0.850420 | − | 0.276318i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 343.755 | + | 249.753i | 0.899883 | + | 0.653804i | ||||
\(383\) | −489.046 | + | 158.901i | −1.27688 | + | 0.414885i | −0.867481 | − | 0.497470i | \(-0.834263\pi\) |
−0.409402 | + | 0.912354i | \(0.634263\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 477.543 | + | 564.504i | 1.24037 | + | 1.46624i | ||||
\(386\) | 168.102i | 0.435499i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −32.8291 | − | 23.8517i | −0.0846110 | − | 0.0614735i | ||||
\(389\) | 114.119 | + | 157.071i | 0.293365 | + | 0.403782i | 0.930103 | − | 0.367298i | \(-0.119717\pi\) |
−0.636739 | + | 0.771080i | \(0.719717\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 82.6254 | − | 254.295i | 0.211318 | − | 0.650371i | ||||
\(392\) | −610.028 | − | 839.632i | −1.55619 | − | 2.14192i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 81.0132 | + | 249.333i | 0.205617 | + | 0.632825i | ||||
\(395\) | − | 587.309i | − | 1.48686i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −260.248 | −0.655537 | −0.327769 | − | 0.944758i | \(-0.606297\pi\) | ||||
−0.327769 | + | 0.944758i | \(0.606297\pi\) | |||||||
\(398\) | 87.0041 | − | 28.2693i | 0.218603 | − | 0.0710285i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.20827 | + | 1.60440i | −0.00552068 | + | 0.00401101i | ||||
\(401\) | 360.802 | + | 117.232i | 0.899755 | + | 0.292348i | 0.722136 | − | 0.691751i | \(-0.243160\pi\) |
0.177619 | + | 0.984099i | \(0.443160\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 36.4395 | − | 26.4748i | 0.0904206 | − | 0.0656944i | ||||
\(404\) | 60.1303 | − | 82.7623i | 0.148837 | − | 0.204857i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −184.765 | −0.455085 | ||||||||
\(407\) | 175.355 | + | 108.600i | 0.430849 | + | 0.266829i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 210.768 | + | 648.678i | 0.515326 | + | 1.58601i | 0.782688 | + | 0.622415i | \(0.213848\pi\) |
−0.267362 | + | 0.963596i | \(0.586152\pi\) | |||||||
\(410\) | −54.1653 | + | 74.5522i | −0.132111 | + | 0.181835i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 74.8537 | − | 230.376i | 0.181684 | − | 0.559165i | ||||
\(413\) | 825.367 | + | 268.178i | 1.99847 | + | 0.649342i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 167.227 | + | 121.497i | 0.402956 | + | 0.292765i | ||||
\(416\) | 75.8971 | − | 24.6605i | 0.182445 | − | 0.0592800i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −33.5741 | − | 453.981i | −0.0803209 | − | 1.08608i | ||||
\(419\) | 275.319i | 0.657085i | 0.944489 | + | 0.328543i | \(0.106557\pi\) | ||||
−0.944489 | + | 0.328543i | \(0.893443\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −98.2710 | − | 71.3981i | −0.233423 | − | 0.169592i | 0.464925 | − | 0.885350i | \(-0.346081\pi\) |
−0.698348 | + | 0.715758i | \(0.746081\pi\) | |||||||
\(422\) | −59.6138 | − | 82.0513i | −0.141265 | − | 0.194434i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −162.387 | + | 499.775i | −0.382988 | + | 1.17871i | ||||
\(425\) | 10.7049 | + | 14.7340i | 0.0251880 | + | 0.0346683i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −148.751 | − | 457.809i | −0.348363 | − | 1.07215i | ||||
\(428\) | 241.019i | 0.563130i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 72.6803 | 0.169024 | ||||||||
\(431\) | 93.9131 | − | 30.5142i | 0.217896 | − | 0.0707987i | −0.198035 | − | 0.980195i | \(-0.563456\pi\) |
0.415931 | + | 0.909396i | \(0.363456\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −453.043 | + | 329.155i | −1.04629 | + | 0.760173i | −0.971503 | − | 0.237027i | \(-0.923827\pi\) |
−0.0747851 | + | 0.997200i | \(0.523827\pi\) | |||||||
\(434\) | −285.476 | − | 92.7568i | −0.657779 | − | 0.213725i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −208.103 | + | 151.196i | −0.477301 | + | 0.346779i | ||||
\(437\) | −279.549 | + | 384.766i | −0.639701 | + | 0.880472i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −577.439 | −1.31535 | −0.657676 | − | 0.753301i | \(-0.728460\pi\) | ||||
−0.657676 | + | 0.753301i | \(0.728460\pi\) | |||||||
\(440\) | 398.288 | + | 246.664i | 0.905200 | + | 0.560600i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 19.1981 | + | 59.0857i | 0.0434347 | + | 0.133678i | ||||
\(443\) | −51.3607 | + | 70.6919i | −0.115938 | + | 0.159575i | −0.863042 | − | 0.505132i | \(-0.831444\pi\) |
0.747104 | + | 0.664707i | \(0.231444\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −112.204 | + | 345.329i | −0.252144 | + | 0.776021i | ||||
\(446\) | −7.68364 | − | 2.49657i | −0.0172279 | − | 0.00559768i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −540.206 | − | 392.482i | −1.20582 | − | 0.876077i | ||||
\(449\) | 91.5004 | − | 29.7303i | 0.203787 | − | 0.0662145i | −0.205345 | − | 0.978690i | \(-0.565832\pi\) |
0.409132 | + | 0.912475i | \(0.365832\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 142.716 | + | 34.9763i | 0.316444 | + | 0.0775528i | ||||
\(452\) | − | 150.733i | − | 0.333479i | ||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −184.092 | − | 133.751i | −0.405489 | − | 0.294605i | ||||
\(455\) | 105.502 | + | 145.211i | 0.231872 | + | 0.319145i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −213.774 | + | 657.929i | −0.467777 | + | 1.43967i | 0.387679 | + | 0.921794i | \(0.373277\pi\) |
−0.855456 | + | 0.517875i | \(0.826723\pi\) | |||||||
\(458\) | 279.756 | + | 385.051i | 0.610821 | + | 0.840723i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −53.2534 | − | 163.897i | −0.115768 | − | 0.356298i | ||||
\(461\) | 70.5491i | 0.153035i | 0.997068 | + | 0.0765175i | \(0.0243801\pi\) | ||||
−0.997068 | + | 0.0765175i | \(0.975620\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 248.292 | 0.536267 | 0.268134 | − | 0.963382i | \(-0.413593\pi\) | ||||
0.268134 | + | 0.963382i | \(0.413593\pi\) | |||||||
\(464\) | −25.4793 | + | 8.27872i | −0.0549122 | + | 0.0178421i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −389.320 | + | 282.858i | −0.835451 | + | 0.606991i | ||||
\(467\) | −241.718 | − | 78.5391i | −0.517598 | − | 0.168178i | 0.0385567 | − | 0.999256i | \(-0.487724\pi\) |
−0.556155 | + | 0.831078i | \(0.687724\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 645.379 | − | 468.895i | 1.37607 | − | 0.999776i | ||||
\(470\) | 333.335 | − | 458.796i | 0.709223 | − | 0.976162i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 549.864 | 1.16497 | ||||||||
\(473\) | −43.8441 | − | 107.278i | −0.0926937 | − | 0.226804i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.0105 | − | 30.8091i | −0.0210747 | − | 0.0648612i | ||||
\(476\) | −289.647 | + | 398.665i | −0.608502 | + | 0.837531i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.28241 | − | 22.4129i | 0.0152352 | − | 0.0468890i | ||||
\(479\) | −17.3840 | − | 5.64840i | −0.0362922 | − | 0.0117921i | 0.290815 | − | 0.956779i | \(-0.406074\pi\) |
−0.327107 | + | 0.944987i | \(0.606074\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 40.5076 | + | 29.4305i | 0.0842153 | + | 0.0611860i | ||||
\(482\) | 126.820 | − | 41.2063i | 0.263112 | − | 0.0854903i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 43.5950 | − | 259.379i | 0.0900723 | − | 0.535907i | ||||
\(485\) | − | 95.2954i | − | 0.196485i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 196.895 | + | 143.052i | 0.404302 | + | 0.293742i | 0.771291 | − | 0.636483i | \(-0.219611\pi\) |
−0.366989 | + | 0.930225i | \(0.619611\pi\) | |||||||
\(488\) | −179.272 | − | 246.746i | −0.367360 | − | 0.505627i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 265.178 | − | 816.135i | 0.541180 | − | 1.66558i | ||||
\(491\) | 185.960 | + | 255.952i | 0.378738 | + | 0.521288i | 0.955250 | − | 0.295801i | \(-0.0955866\pi\) |
−0.576512 | + | 0.817089i | \(0.695587\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 55.2373 | + | 170.003i | 0.112043 | + | 0.344833i | ||||
\(494\) | − | 110.506i | − | 0.223696i | ||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −43.5236 | −0.0877493 | ||||||||
\(497\) | 616.019 | − | 200.157i | 1.23947 | − | 0.402730i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −21.6847 | + | 15.7549i | −0.0434563 | + | 0.0315728i | −0.609301 | − | 0.792939i | \(-0.708550\pi\) |
0.565845 | + | 0.824512i | \(0.308550\pi\) | |||||||
\(500\) | −252.660 | − | 82.0943i | −0.505321 | − | 0.164189i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −193.850 | + | 140.840i | −0.386155 | + | 0.280558i | ||||
\(503\) | 107.344 | − | 147.746i | 0.213408 | − | 0.293730i | −0.688871 | − | 0.724884i | \(-0.741893\pi\) |
0.902278 | + | 0.431154i | \(0.141893\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 240.240 | 0.475723 | ||||||||
\(506\) | 176.264 | − | 149.111i | 0.348348 | − | 0.294686i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 7.23754 | + | 22.2749i | 0.0142471 | + | 0.0438482i | ||||
\(509\) | −127.165 | + | 175.027i | −0.249832 | + | 0.343864i | −0.915452 | − | 0.402426i | \(-0.868167\pi\) |
0.665620 | + | 0.746290i | \(0.268167\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −25.9327 | + | 79.8128i | −0.0507490 | + | 0.156189i | ||||
\(512\) | −155.235 | − | 50.4390i | −0.303194 | − | 0.0985137i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 126.086 | + | 91.6069i | 0.245304 | + | 0.178223i | ||||
\(515\) | 541.013 | − | 175.786i | 1.05051 | − | 0.341332i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −878.280 | − | 215.245i | −1.69880 | − | 0.416335i | ||||
\(518\) | − | 333.678i | − | 0.644165i | ||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 92.0055 | + | 66.8459i | 0.176934 | + | 0.128550i | ||||
\(521\) | −335.736 | − | 462.102i | −0.644408 | − | 0.886951i | 0.354433 | − | 0.935081i | \(-0.384674\pi\) |
−0.998841 | + | 0.0481300i | \(0.984674\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 237.156 | − | 729.890i | 0.453453 | − | 1.39558i | −0.419490 | − | 0.907760i | \(-0.637791\pi\) |
0.872942 | − | 0.487824i | \(-0.162209\pi\) | |||||||
\(524\) | −117.638 | − | 161.914i | −0.224500 | − | 0.308997i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −98.9537 | − | 304.548i | −0.188125 | − | 0.578989i | ||||
\(527\) | 290.398i | 0.551041i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 287.791 | 0.544028 | ||||||||
\(530\) | −413.237 | + | 134.269i | −0.779692 | + | 0.253337i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 709.114 | − | 515.201i | 1.33292 | − | 0.968424i | ||||
\(533\) | 33.9241 | + | 11.0226i | 0.0636474 | + | 0.0206803i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −457.910 | + | 332.691i | −0.855907 | + | 0.621853i | ||||
\(536\) | 297.092 | − | 408.912i | 0.554276 | − | 0.762895i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 714.191 | 1.32749 | ||||||||
\(539\) | −1364.61 | + | 100.919i | −2.53174 | + | 0.187235i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 63.5980 | + | 195.735i | 0.117556 | + | 0.361801i | 0.992472 | − | 0.122475i | \(-0.0390830\pi\) |
−0.874915 | + | 0.484276i | \(0.839083\pi\) | |||||||
\(542\) | −142.136 | + | 195.633i | −0.262243 | + | 0.360946i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −158.994 | + | 489.333i | −0.292269 | + | 0.899510i | ||||
\(545\) | −574.510 | − | 186.670i | −1.05415 | − | 0.342513i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −352.204 | − | 255.891i | −0.643883 | − | 0.467808i | 0.217299 | − | 0.976105i | \(-0.430275\pi\) |
−0.861182 | + | 0.508297i | \(0.830275\pi\) | |||||||
\(548\) | −410.672 | + | 133.435i | −0.749402 | + | 0.243495i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.15982 | + | 15.6828i | 0.00210877 | + | 0.0285142i | ||||
\(551\) | − | 317.949i | − | 0.577040i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1225.67 | + | 890.498i | 2.21639 | + | 1.61030i | ||||
\(554\) | 227.352 | + | 312.923i | 0.410382 | + | 0.564842i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −39.9902 | + | 123.077i | −0.0719248 | + | 0.221362i | ||||
\(557\) | 434.244 | + | 597.686i | 0.779612 | + | 1.07304i | 0.995325 | + | 0.0965873i | \(0.0307927\pi\) |
−0.215712 | + | 0.976457i | \(0.569207\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.69356 | − | 26.7560i | −0.0155520 | − | 0.0478641i | ||||
\(560\) | − | 173.441i | − | 0.309716i | ||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 342.493 | 0.609419 | ||||||||
\(563\) | −62.6356 | + | 20.3515i | −0.111253 | + | 0.0361484i | −0.364115 | − | 0.931354i | \(-0.618628\pi\) |
0.252861 | + | 0.967503i | \(0.418628\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 286.376 | − | 208.064i | 0.506859 | − | 0.368255i | ||||
\(566\) | −364.077 | − | 118.296i | −0.643246 | − | 0.209003i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 332.017 | − | 241.224i | 0.584537 | − | 0.424691i | ||||
\(569\) | 410.063 | − | 564.404i | 0.720673 | − | 0.991922i | −0.278828 | − | 0.960341i | \(-0.589946\pi\) |
0.999501 | − | 0.0315808i | \(-0.0100541\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −256.388 | −0.449017 | −0.224508 | − | 0.974472i | \(-0.572078\pi\) | ||||
−0.224508 | + | 0.974472i | \(0.572078\pi\) | |||||||
\(572\) | 15.1978 | − | 62.0127i | 0.0265696 | − | 0.108414i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −73.4569 | − | 226.077i | −0.127974 | − | 0.393862i | ||||
\(575\) | 9.65705 | − | 13.2918i | 0.0167949 | − | 0.0231162i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 140.575 | − | 432.646i | 0.243631 | − | 0.749819i | −0.752227 | − | 0.658903i | \(-0.771021\pi\) |
0.995859 | − | 0.0909159i | \(-0.0289794\pi\) | |||||||
\(578\) | −9.50317 | − | 3.08777i | −0.0164415 | − | 0.00534216i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 93.2053 | + | 67.7176i | 0.160699 | + | 0.116755i | ||||
\(581\) | −507.110 | + | 164.770i | −0.872823 | + | 0.283598i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 447.468 | + | 528.952i | 0.767527 | + | 0.907294i | ||||
\(584\) | 53.1718i | 0.0910475i | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −327.221 | − | 237.740i | −0.558397 | − | 0.405699i | ||||
\(587\) | −64.8291 | − | 89.2295i | −0.110441 | − | 0.152009i | 0.750218 | − | 0.661190i | \(-0.229948\pi\) |
−0.860660 | + | 0.509181i | \(0.829948\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 159.619 | − | 491.257i | 0.271000 | − | 0.834052i | ||||
\(590\) | 267.238 | + | 367.822i | 0.452946 | + | 0.623427i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −14.9510 | − | 46.0146i | −0.0252551 | − | 0.0777273i | ||||
\(593\) | 250.416i | 0.422287i | 0.977455 | + | 0.211144i | \(0.0677188\pi\) | ||||
−0.977455 | + | 0.211144i | \(0.932281\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1157.23 | −1.94493 | ||||||||
\(596\) | 30.1091 | − | 9.78303i | 0.0505186 | − | 0.0164145i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 45.3415 | − | 32.9425i | 0.0758219 | − | 0.0550879i | ||||
\(599\) | 271.473 | + | 88.2069i | 0.453210 | + | 0.147257i | 0.526722 | − | 0.850037i | \(-0.323421\pi\) |
−0.0735122 | + | 0.997294i | \(0.523421\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 180.803 | − | 131.361i | 0.300836 | − | 0.218570i | −0.427118 | − | 0.904196i | \(-0.640471\pi\) |
0.727954 | + | 0.685625i | \(0.240471\pi\) | |||||||
\(602\) | −110.200 | + | 151.678i | −0.183057 | + | 0.251956i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −529.508 | −0.876668 | ||||||||
\(605\) | 552.968 | − | 275.208i | 0.913997 | − | 0.454890i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 295.069 | + | 908.129i | 0.486110 | + | 1.49609i | 0.830367 | + | 0.557218i | \(0.188131\pi\) |
−0.344256 | + | 0.938876i | \(0.611869\pi\) | |||||||
\(608\) | 537.929 | − | 740.396i | 0.884752 | − | 1.21776i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 77.9290 | − | 239.841i | 0.127752 | − | 0.393182i | ||||
\(611\) | −208.770 | − | 67.8334i | −0.341685 | − | 0.111020i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 275.176 | + | 199.927i | 0.448901 | + | 0.326146i | 0.789162 | − | 0.614185i | \(-0.210515\pi\) |
−0.340261 | + | 0.940331i | \(0.610515\pi\) | |||||||
\(614\) | −143.743 | + | 46.7048i | −0.234108 | + | 0.0760664i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1118.67 | + | 457.193i | −1.81602 | + | 0.742197i | ||||
\(617\) | 812.456i | 1.31678i | 0.752675 | + | 0.658392i | \(0.228763\pi\) | ||||
−0.752675 | + | 0.658392i | \(0.771237\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −739.304 | − | 537.136i | −1.19435 | − | 0.867748i | −0.200635 | − | 0.979666i | \(-0.564301\pi\) |
−0.993717 | + | 0.111918i | \(0.964301\pi\) | |||||||
\(620\) | 110.014 | + | 151.421i | 0.177441 | + | 0.244227i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −148.787 | + | 457.920i | −0.239208 | + | 0.736206i | ||||
\(623\) | −550.546 | − | 757.761i | −0.883701 | − | 1.21631i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −200.962 | − | 618.498i | −0.321540 | − | 0.989597i | ||||
\(626\) | 457.779i | 0.731276i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −241.352 | −0.384319 | ||||||||
\(629\) | −307.018 | + | 99.7563i | −0.488105 | + | 0.158595i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 488.541 | − | 354.946i | 0.774233 | − | 0.562513i | −0.129010 | − | 0.991643i | \(-0.541180\pi\) |
0.903243 | + | 0.429130i | \(0.141180\pi\) | |||||||
\(632\) | 912.926 | + | 296.628i | 1.44450 | + | 0.469348i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −442.400 | + | 321.423i | −0.697792 | + | 0.506976i | ||||
\(635\) | −32.3295 | + | 44.4977i | −0.0509125 | + | 0.0700751i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −332.165 | −0.521453 | ||||||||
\(638\) | −36.7392 | + | 149.909i | −0.0575849 | + | 0.234968i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 80.4720 | + | 247.667i | 0.125738 | + | 0.386980i | ||||
\(641\) | 633.628 | − | 872.114i | 0.988499 | − | 1.36055i | 0.0563769 | − | 0.998410i | \(-0.482045\pi\) |
0.932122 | − | 0.362143i | \(-0.117955\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 118.832 | − | 365.726i | 0.184808 | − | 0.568781i | −0.815137 | − | 0.579268i | \(-0.803338\pi\) |
0.999945 | + | 0.0104874i | \(0.00333831\pi\) | |||||||
\(644\) | 422.784 | + | 137.371i | 0.656497 | + | 0.213309i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 576.397 | + | 418.777i | 0.892255 | + | 0.648262i | ||||
\(647\) | 566.074 | − | 183.929i | 0.874921 | − | 0.284279i | 0.163074 | − | 0.986614i | \(-0.447859\pi\) |
0.711847 | + | 0.702335i | \(0.247859\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 381.706 | − | 616.339i | 0.588144 | − | 0.949675i | ||||
\(650\) | 3.81743i | 0.00587297i | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −216.573 | − | 157.350i | −0.332168 | − | 0.241334i | ||||
\(653\) | −246.058 | − | 338.670i | −0.376812 | − | 0.518637i | 0.577924 | − | 0.816090i | \(-0.303863\pi\) |
−0.954736 | + | 0.297453i | \(0.903863\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 145.238 | − | 446.998i | 0.221738 | − | 0.682439i | ||||
\(656\) | −20.2596 | − | 27.8849i | −0.0308835 | − | 0.0425075i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 452.056 | + | 1391.29i | 0.687015 | + | 2.11442i | ||||
\(659\) | 1112.39i | 1.68800i | 0.536347 | + | 0.843998i | \(0.319804\pi\) | ||||
−0.536347 | + | 0.843998i | \(0.680196\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −736.025 | −1.11350 | −0.556751 | − | 0.830679i | \(-0.687952\pi\) | ||||
−0.556751 | + | 0.830679i | \(0.687952\pi\) | |||||||
\(662\) | −814.943 | + | 264.791i | −1.23103 | + | 0.399986i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −273.318 | + | 198.577i | −0.411624 | + | 0.299062i | ||||
\(665\) | 1957.65 | + | 636.080i | 2.94384 | + | 0.956511i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 130.458 | − | 94.7830i | 0.195589 | − | 0.142103i | ||||
\(668\) | 292.598 | − | 402.727i | 0.438021 | − | 0.602884i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 417.923 | 0.623765 | ||||||||
\(671\) | −401.023 | + | 29.6576i | −0.597649 | + | 0.0441991i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 168.609 | + | 518.924i | 0.250533 | + | 0.771061i | 0.994677 | + | 0.103042i | \(0.0328576\pi\) |
−0.744144 | + | 0.668019i | \(0.767142\pi\) | |||||||
\(674\) | 188.586 | − | 259.566i | 0.279801 | − | 0.385113i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −108.729 | + | 334.634i | −0.160842 | + | 0.495021i | ||||
\(677\) | −936.672 | − | 304.343i | −1.38356 | − | 0.449547i | −0.479724 | − | 0.877420i | \(-0.659263\pi\) |
−0.903839 | + | 0.427873i | \(0.859263\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 198.874 | + | 144.490i | 0.292892 | + | 0.212798i | ||||
\(680\) | −697.336 | + | 226.578i | −1.02549 | + | 0.333203i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −132.023 | + | 213.178i | −0.193583 | + | 0.312578i | ||||
\(683\) | − | 924.817i | − | 1.35405i | −0.735959 | − | 0.677026i | \(-0.763269\pi\) | ||
0.735959 | − | 0.677026i | \(-0.236731\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −820.385 | − | 596.044i | −1.19764 | − | 0.870138i | ||||
\(686\) | 788.604 | + | 1085.42i | 1.14957 | + | 1.58225i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −8.40056 | + | 25.8543i | −0.0122101 | + | 0.0375789i | ||||
\(689\) | 98.8576 | + | 136.066i | 0.143480 | + | 0.197483i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −24.4525 | − | 75.2570i | −0.0353871 | − | 0.108910i | 0.931803 | − | 0.362965i | \(-0.118236\pi\) |
−0.967190 | + | 0.254055i | \(0.918236\pi\) | |||||||
\(692\) | − | 375.349i | − | 0.542412i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −658.790 | −0.949265 | ||||||||
\(695\) | −289.034 | + | 93.9127i | −0.415876 | + | 0.135126i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −186.054 | + | 135.176i | −0.266935 | + | 0.193940i | ||||
\(698\) | 48.9041 | + | 15.8899i | 0.0700632 | + | 0.0227649i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −24.4964 | + | 17.7977i | −0.0349949 | + | 0.0254253i | ||||
\(701\) | −724.322 | + | 996.943i | −1.03327 | + | 1.42217i | −0.130805 | + | 0.991408i | \(0.541756\pi\) |
−0.902464 | + | 0.430765i | \(0.858244\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 574.204 | 0.816791 | ||||||||
\(704\) | −425.858 | + | 360.255i | −0.604912 | + | 0.511726i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −37.8094 | − | 116.365i | −0.0535544 | − | 0.164823i | ||||
\(707\) | −364.261 | + | 501.362i | −0.515220 | + | 0.709140i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −82.6830 | + | 254.472i | −0.116619 | + | 0.358917i | −0.992281 | − | 0.124007i | \(-0.960425\pi\) |
0.875662 | + | 0.482924i | \(0.160425\pi\) | |||||||
\(710\) | 322.725 | + | 104.860i | 0.454543 | + | 0.147690i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −480.117 | − | 348.825i | −0.674322 | − | 0.489923i | ||||
\(713\) | 249.151 | − | 80.9541i | 0.349440 | − | 0.113540i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 138.796 | − | 56.7251i | 0.194120 | − | 0.0793358i | ||||
\(716\) | 396.682i | 0.554025i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −122.437 | − | 88.9554i | −0.170525 | − | 0.123893i | ||||
\(719\) | 403.585 | + | 555.487i | 0.561314 | + | 0.772583i | 0.991493 | − | 0.130161i | \(-0.0415495\pi\) |
−0.430179 | + | 0.902744i | \(0.641549\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −453.452 | + | 1395.58i | −0.628922 | + | 1.93562i | ||||
\(722\) | −458.132 | − | 630.564i | −0.634531 | − | 0.873358i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 81.7742 | + | 251.675i | 0.112948 | + | 0.347617i | ||||
\(725\) | 10.9836i | 0.0151498i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1265.58 | −1.74082 | −0.870410 | − | 0.492327i | \(-0.836146\pi\) | ||||
−0.870410 | + | 0.492327i | \(0.836146\pi\) | |||||||
\(728\) | −279.004 | + | 90.6539i | −0.383247 | + | 0.124525i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −35.5683 | + | 25.8419i | −0.0487237 | + | 0.0353998i | ||||
\(731\) | 172.505 | + | 56.0502i | 0.235985 | + | 0.0766761i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −80.5752 | + | 58.5413i | −0.109925 | + | 0.0798654i | −0.641390 | − | 0.767215i | \(-0.721642\pi\) |
0.531465 | + | 0.847081i | \(0.321642\pi\) | |||||||
\(734\) | 269.115 | − | 370.405i | 0.366641 | − | 0.504638i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 464.152 | 0.630642 | ||||||||
\(737\) | −252.111 | − | 616.867i | −0.342077 | − | 0.836997i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −99.0512 | − | 304.848i | −0.134034 | − | 0.412515i | 0.861404 | − | 0.507920i | \(-0.169585\pi\) |
−0.995439 | + | 0.0954052i | \(0.969585\pi\) | |||||||
\(740\) | −122.295 | + | 168.325i | −0.165264 | + | 0.227466i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 346.356 | − | 1065.97i | 0.466787 | − | 1.43662i | ||||
\(743\) | −51.9858 | − | 16.8912i | −0.0699674 | − | 0.0227338i | 0.273824 | − | 0.961780i | \(-0.411711\pi\) |
−0.343792 | + | 0.939046i | \(0.611711\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 60.1478 | + | 43.6999i | 0.0807353 | + | 0.0586576i | ||||
\(746\) | 712.804 | − | 231.604i | 0.955501 | − | 0.310461i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 265.864 | + | 314.278i | 0.355433 | + | 0.420157i | ||||
\(749\) | − | 1460.06i | − | 1.94935i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −117.339 | − | 85.2520i | −0.156244 | − | 0.113518i | 0.506916 | − | 0.861995i | \(-0.330785\pi\) |
−0.663160 | + | 0.748477i | \(0.730785\pi\) | |||||||
\(752\) | 124.678 | + | 171.605i | 0.165795 | + | 0.228198i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −11.5782 | + | 35.6339i | −0.0153556 | + | 0.0472598i | ||||
\(755\) | −730.906 | − | 1006.01i | −0.968088 | − | 1.33246i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 80.8537 | + | 248.842i | 0.106808 | + | 0.328721i | 0.990151 | − | 0.140007i | \(-0.0447124\pi\) |
−0.883343 | + | 0.468728i | \(0.844712\pi\) | |||||||
\(758\) | − | 339.621i | − | 0.448049i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1304.20 | 1.71605 | ||||||||
\(761\) | −955.456 | + | 310.446i | −1.25553 | + | 0.407945i | −0.859898 | − | 0.510465i | \(-0.829473\pi\) |
−0.395629 | + | 0.918411i | \(0.629473\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1260.66 | − | 915.921i | 1.65224 | − | 1.20042i | ||||
\(764\) | 649.995 | + | 211.196i | 0.850779 | + | 0.276435i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 562.196 | − | 408.460i | 0.733938 | − | 0.533237i | ||||
\(767\) | 103.442 | − | 142.376i | 0.134866 | − | 0.185627i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1067.91 | 1.38869 | 0.694347 | − | 0.719641i | \(-0.255693\pi\) | ||||
0.694347 | + | 0.719641i | \(0.255693\pi\) | |||||||
\(770\) | −849.511 | − | 526.112i | −1.10326 | − | 0.683262i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 83.5542 | + | 257.153i | 0.108231 | + | 0.333100i | ||||
\(773\) | −104.322 | + | 143.587i | −0.134957 | + | 0.185753i | −0.871147 | − | 0.491023i | \(-0.836623\pi\) |
0.736190 | + | 0.676775i | \(0.236623\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5.51406 | + | 16.9705i | −0.00711491 | + | 0.0218974i | ||||
\(776\) | 148.129 | + | 48.1301i | 0.190888 | + | 0.0620233i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −212.267 | − | 154.221i | −0.272837 | − | 0.198228i | ||||
\(779\) | 389.041 | − | 126.407i | 0.499411 | − | 0.162268i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −39.9067 | − | 539.609i | −0.0510970 | − | 0.690920i | ||||
\(782\) | 361.342i | 0.462074i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 259.670 | + | 188.662i | 0.331212 | + | 0.240640i | ||||
\(785\) | −333.151 | − | 458.543i | −0.424396 | − | 0.584131i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 204.108 | − | 628.179i | 0.259349 | − | 0.798194i | −0.733592 | − | 0.679590i | \(-0.762158\pi\) |
0.992942 | − | 0.118605i | \(-0.0378421\pi\) | |||||||
\(788\) | 247.859 | + | 341.148i | 0.314541 | + | 0.432929i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 245.265 | + | 754.849i | 0.310462 | + | 0.955505i | ||||
\(791\) | 913.116i | 1.15438i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −97.6148 | −0.123096 | ||||||||
\(794\) | 334.488 | − | 108.682i | 0.421270 | − | 0.136879i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 119.043 | − | 86.4896i | 0.149551 | − | 0.108655i | ||||
\(797\) | −379.061 | − | 123.164i | −0.475610 | − | 0.154535i | 0.0613960 | − | 0.998113i | \(-0.480445\pi\) |
−0.537006 | + | 0.843578i | \(0.680445\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1144.98 | − | 831.878i | 1.43302 | − | 1.04115i | ||||
\(800\) | −18.5828 | + | 25.5771i | −0.0232285 | + | 0.0319713i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −512.683 | −0.639256 | ||||||||
\(803\) | 59.5998 | + | 36.9108i | 0.0742215 | + | 0.0459662i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 322.601 | + | 992.863i | 0.400746 | + | 1.23337i | ||||
\(806\) | −35.7783 | + | 49.2446i | −0.0443900 | + | 0.0610976i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −121.336 | + | 373.435i | −0.150169 | + | 0.462172i | ||||
\(809\) | −716.122 | − | 232.682i | −0.885194 | − | 0.287617i | −0.169082 | − | 0.985602i | \(-0.554080\pi\) |
−0.716112 | + | 0.697985i | \(0.754080\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −811.310 | − | 589.451i | −1.00038 | − | 0.726820i | −0.0382118 | − | 0.999270i | \(-0.512166\pi\) |
−0.962170 | + | 0.272450i | \(0.912166\pi\) | |||||||
\(812\) | −282.642 | + | 91.8360i | −0.348082 | + | 0.113099i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −270.730 | − | 66.3495i | −0.332593 | − | 0.0815104i | ||||
\(815\) | − | 628.663i | − | 0.771366i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −261.012 | − | 189.636i | −0.319476 | − | 0.232113i | ||||
\(818\) | −541.787 | − | 745.706i | −0.662331 | − | 0.911621i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −45.8033 | + | 140.968i | −0.0558577 | + | 0.171912i | ||||
\(821\) | 804.527 | + | 1107.34i | 0.979936 | + | 1.34877i | 0.936864 | + | 0.349694i | \(0.113714\pi\) |
0.0430718 | + | 0.999072i | \(0.486286\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −431.321 | − | 1327.47i | −0.524084 | − | 1.61296i | −0.766120 | − | 0.642697i | \(-0.777815\pi\) |
0.242037 | − | 0.970267i | \(-0.422185\pi\) | |||||||
\(824\) | 929.746i | 1.12833i | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1172.81 | −1.41987 | ||||||||
\(827\) | 192.907 | − | 62.6792i | 0.233261 | − | 0.0757910i | −0.190054 | − | 0.981774i | \(-0.560866\pi\) |
0.423315 | + | 0.905983i | \(0.360866\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −461.108 | + | 335.015i | −0.556222 | + | 0.404119i | −0.830074 | − | 0.557653i | \(-0.811702\pi\) |
0.273852 | + | 0.961772i | \(0.411702\pi\) | |||||||
\(830\) | −265.669 | − | 86.3212i | −0.320084 | − | 0.104001i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −109.546 | + | 79.5899i | −0.131666 | + | 0.0956610i | ||||
\(833\) | 1258.79 | − | 1732.57i | 1.51115 | − | 2.07992i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1169.02 | 1.40003 | ||||||||
\(836\) | −277.008 | − | 677.786i | −0.331349 | − | 0.810749i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −114.975 | − | 353.858i | −0.137202 | − | 0.422265i | ||||
\(839\) | −76.3914 | + | 105.144i | −0.0910505 | + | 0.125320i | −0.852112 | − | 0.523359i | \(-0.824679\pi\) |
0.761062 | + | 0.648680i | \(0.224679\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 226.570 | − | 697.312i | 0.269406 | − | 0.829146i | ||||
\(842\) | 156.121 | + | 50.7267i | 0.185417 | + | 0.0602455i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −131.977 | − | 95.8867i | −0.156371 | − | 0.113610i | ||||
\(845\) | −785.853 | + | 255.339i | −0.930003 | + | 0.302176i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −264.092 | + | 1571.28i | −0.311797 | + | 1.85511i | ||||
\(848\) | − | 162.518i | − | 0.191649i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −19.9117 | − | 14.4667i | −0.0234255 | − | 0.0170196i | ||||
\(851\) | 171.174 | + | 235.601i | 0.201145 | + | 0.276852i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 99.5966 | − | 306.527i | 0.116760 | − | 0.359351i | −0.875550 | − | 0.483128i | \(-0.839501\pi\) |
0.992310 | + | 0.123777i | \(0.0395006\pi\) | |||||||
\(854\) | 382.369 | + | 526.286i | 0.447739 | + | 0.616260i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −285.869 | − | 879.816i | −0.333960 | − | 1.02782i | ||||
\(857\) | 634.845i | 0.740776i | 0.928877 | + | 0.370388i | \(0.120775\pi\) | ||||
−0.928877 | + | 0.370388i | \(0.879225\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1658.25 | 1.93044 | 0.965219 | − | 0.261443i | \(-0.0841984\pi\) | ||||
0.965219 | + | 0.261443i | \(0.0841984\pi\) | |||||||
\(860\) | 111.182 | − | 36.1252i | 0.129281 | − | 0.0420061i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −107.960 | + | 78.4378i | −0.125244 | + | 0.0909951i | ||||
\(863\) | −820.127 | − | 266.475i | −0.950321 | − | 0.308778i | −0.207475 | − | 0.978240i | \(-0.566525\pi\) |
−0.742846 | + | 0.669462i | \(0.766525\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 713.122 | − | 518.113i | 0.824418 | − | 0.598975i | ||||
\(866\) | 444.823 | − | 612.246i | 0.513652 | − | 0.706981i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −482.809 | −0.556231 | ||||||||
\(869\) | 966.224 | − | 817.379i | 1.11188 | − | 0.940597i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −49.9893 | − | 153.851i | −0.0573930 | − | 0.176638i | ||||
\(872\) | 580.327 | − | 798.752i | 0.665513 | − | 0.916000i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 198.613 | − | 611.269i | 0.227246 | − | 0.699393i | ||||
\(875\) | 1530.58 | + | 497.315i | 1.74923 | + | 0.568360i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −554.481 | − | 402.854i | −0.632247 | − | 0.459354i | 0.224931 | − | 0.974375i | \(-0.427784\pi\) |
−0.857178 | + | 0.515020i | \(0.827784\pi\) | |||||||
\(878\) | 742.163 | − | 241.143i | 0.845288 | − | 0.274651i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −140.722 | − | 34.4875i | −0.159911 | − | 0.0391904i | ||||
\(881\) | 551.003i | 0.625429i | 0.949847 | + | 0.312715i | \(0.101238\pi\) | ||||
−0.949847 | + | 0.312715i | \(0.898762\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1288.51 | + | 936.160i | 1.45924 | + | 1.06020i | 0.983559 | + | 0.180588i | \(0.0578002\pi\) |
0.475686 | + | 0.879615i | \(0.342200\pi\) | |||||||
\(884\) | 58.7363 | + | 80.8436i | 0.0664438 | + | 0.0914521i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 36.4906 | − | 112.307i | 0.0411858 | − | 0.126757i | ||||
\(887\) | 225.726 | + | 310.686i | 0.254483 | + | 0.350266i | 0.917075 | − | 0.398715i | \(-0.130544\pi\) |
−0.662592 | + | 0.748981i | \(0.730544\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −43.8439 | − | 134.938i | −0.0493183 | − | 0.151786i | ||||
\(890\) | − | 490.697i | − | 0.551345i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −12.9949 | −0.0145683 | ||||||||
\(893\) | −2394.17 | + | 777.913i | −2.68104 | + | 0.871124i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −753.653 | + | 547.561i | −0.842070 | + | 0.611800i | ||||
\(896\) | −638.876 | − | 207.583i | −0.713031 | − | 0.231678i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −105.187 | + | 76.4227i | −0.117134 | + | 0.0851032i | ||||
\(899\) | −102.942 | + | 141.688i | −0.114507 | + | 0.157606i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1084.35 | −1.20350 | ||||||||
\(902\) | −198.035 | + | 14.6456i | −0.219551 | + | 0.0162369i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 178.782 | + | 550.234i | 0.197767 | + | 0.608665i | ||||
\(905\) | −365.278 | + | 502.762i | −0.403622 | + | 0.555538i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −438.054 | + | 1348.19i | −0.482970 | + | 1.48643i | 0.351929 | + | 0.936027i | \(0.385526\pi\) |
−0.834899 | + | 0.550403i | \(0.814474\pi\) | |||||||
\(908\) | −348.093 | − | 113.102i | −0.383363 | − | 0.124562i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −196.239 | − | 142.576i | −0.215647 | − | 0.156677i | ||||
\(911\) | −831.997 | + | 270.332i | −0.913279 | + | 0.296742i | −0.727707 | − | 0.685888i | \(-0.759414\pi\) |
−0.185572 | + | 0.982631i | \(0.559414\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 32.8515 | + | 444.209i | 0.0359819 | + | 0.486538i | ||||
\(914\) | − | 934.888i | − | 1.02285i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 619.342 | + | 449.978i | 0.676137 | + | 0.491242i | ||||
\(917\) | 712.632 | + | 980.854i | 0.777134 | + | 1.06963i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −359.359 | + | 1105.99i | −0.391033 | + | 1.20348i | 0.540975 | + | 0.841039i | \(0.318055\pi\) |
−0.932008 | + | 0.362437i | \(0.881945\pi\) | |||||||
\(920\) | 388.791 | + | 535.125i | 0.422599 | + | 0.581658i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −29.4619 | − | 90.6744i | −0.0319543 | − | 0.0983453i | ||||
\(923\) | − | 131.349i | − | 0.142306i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −19.8359 | −0.0214443 | ||||||||
\(926\) | −319.121 | + | 103.689i | −0.344623 | + | 0.111975i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −251.036 | + | 182.389i | −0.270513 | + | 0.196539i | ||||
\(929\) | 527.156 | + | 171.283i | 0.567444 | + | 0.184374i | 0.578668 | − | 0.815563i | \(-0.303573\pi\) |
−0.0112238 | + | 0.999937i | \(0.503573\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −3081.77 | + | 2239.03i | −3.31017 | + | 2.40498i | ||||
\(932\) | −454.967 | + | 626.208i | −0.488162 | + | 0.671897i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 343.471 | 0.367742 | ||||||||
\(935\) | −230.108 | + | 938.925i | −0.246105 | + | 1.00420i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −265.097 | − | 815.885i | −0.282921 | − | 0.870742i | −0.987014 | − | 0.160634i | \(-0.948646\pi\) |
0.704093 | − | 0.710108i | \(-0.251354\pi\) | |||||||
\(938\) | −633.669 | + | 872.170i | −0.675553 | + | 0.929819i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 281.875 | − | 867.522i | 0.299867 | − | 0.922896i | ||||
\(941\) | −320.582 | − | 104.163i | −0.340682 | − | 0.110694i | 0.133679 | − | 0.991025i | \(-0.457321\pi\) |
−0.474361 | + | 0.880330i | \(0.657321\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 167.842 | + | 121.944i | 0.177987 | + | 0.129315i | ||||
\(944\) | −161.732 | + | 52.5499i | −0.171326 | + | 0.0556672i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 101.152 | + | 119.571i | 0.106926 | + | 0.126397i | ||||
\(947\) | 405.388i | 0.428076i | 0.976825 | + | 0.214038i | \(0.0686616\pi\) | ||||
−0.976825 | + | 0.214038i | \(0.931338\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 13.7677 | + | 10.0028i | 0.0145076 | + | 0.0105404i | ||||
\(950\) | 25.7322 | + | 35.4174i | 0.0270866 | + | 0.0372814i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 584.475 | − | 1798.83i | 0.613944 | − | 1.88953i | ||||
\(953\) | 439.632 | + | 605.102i | 0.461314 | + | 0.634944i | 0.974781 | − | 0.223166i | \(-0.0716390\pi\) |
−0.513467 | + | 0.858109i | \(0.671639\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 495.972 | + | 1526.44i | 0.519342 | + | 1.59837i | ||||
\(956\) | − | 37.9057i | − | 0.0396503i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 24.7019 | 0.0257848 | ||||||||
\(959\) | 2487.79 | − | 808.332i | 2.59415 | − | 0.842891i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 547.280 | − | 397.623i | 0.569491 | − | 0.413759i | ||||
\(962\) | −64.3534 | − | 20.9097i | −0.0668954 | − | 0.0217356i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 173.521 | − | 126.070i | 0.180001 | − | 0.130778i | ||||
\(965\) | −373.229 | + | 513.706i | −0.386766 | + | 0.532338i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −284.479 | −0.294187 | −0.147094 | − | 0.989123i | \(-0.546992\pi\) | ||||
−0.147094 | + | 0.989123i | \(0.546992\pi\) | |||||||
\(968\) | 148.507 | + | 998.543i | 0.153416 | + | 1.03155i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 39.7961 | + | 122.480i | 0.0410269 | + | 0.126268i | ||||
\(971\) | 693.245 | − | 954.170i | 0.713949 | − | 0.982667i | −0.285754 | − | 0.958303i | \(-0.592244\pi\) |
0.999703 | − | 0.0243639i | \(-0.00775603\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 242.255 | − | 745.583i | 0.248977 | − | 0.766272i | ||||
\(974\) | −312.802 | − | 101.636i | −0.321152 | − | 0.104349i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 76.3104 | + | 55.4428i | 0.0781869 | + | 0.0568061i | ||||
\(977\) | 12.9784 | − | 4.21695i | 0.0132840 | − | 0.00431622i | −0.302367 | − | 0.953191i | \(-0.597777\pi\) |
0.315651 | + | 0.948875i | \(0.397777\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −724.284 | + | 296.011i | −0.739820 | + | 0.302361i | ||||
\(980\) | − | 1380.28i | − | 1.40845i | ||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −345.896 | − | 251.308i | −0.352236 | − | 0.255915i | ||||
\(983\) | −294.641 | − | 405.539i | −0.299737 | − | 0.412552i | 0.632409 | − | 0.774634i | \(-0.282066\pi\) |
−0.932146 | + | 0.362082i | \(0.882066\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −306.012 | + | 941.808i | −0.310672 | + | 0.956151i | ||||
\(986\) | −141.989 | − | 195.431i | −0.144005 | − | 0.198206i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −54.9261 | − | 169.045i | −0.0555932 | − | 0.171098i | ||||
\(989\) | − | 163.628i | − | 0.165448i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 118.253 | 0.119327 | 0.0596635 | − | 0.998219i | \(-0.480997\pi\) | ||||
0.0596635 | + | 0.998219i | \(0.480997\pi\) | |||||||
\(992\) | −479.435 | + | 155.778i | −0.483302 | + | 0.157034i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −708.161 | + | 514.509i | −0.712436 | + | 0.517615i | ||||
\(995\) | 328.641 | + | 106.782i | 0.330293 | + | 0.107319i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −401.180 | + | 291.474i | −0.402387 | + | 0.292351i | −0.770512 | − | 0.637425i | \(-0.780000\pi\) |
0.368126 | + | 0.929776i | \(0.380000\pi\) | |||||||
\(998\) | 21.2912 | − | 29.3049i | 0.0213339 | − | 0.0293636i | ||||
\(999\) | 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 | 99.3.l.a.71.3 | yes | 32 | |
3.2 | odd | 2 | inner | 99.3.l.a.71.6 | yes | 32 | |
11.3 | even | 5 | 1089.3.b.i.485.11 | 16 | |||
11.8 | odd | 10 | 1089.3.b.j.485.6 | 16 | |||
11.9 | even | 5 | inner | 99.3.l.a.53.6 | yes | 32 | |
33.8 | even | 10 | 1089.3.b.j.485.11 | 16 | |||
33.14 | odd | 10 | 1089.3.b.i.485.6 | 16 | |||
33.20 | odd | 10 | inner | 99.3.l.a.53.3 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.3.l.a.53.3 | ✓ | 32 | 33.20 | odd | 10 | inner | |
99.3.l.a.53.6 | yes | 32 | 11.9 | even | 5 | inner | |
99.3.l.a.71.3 | yes | 32 | 1.1 | even | 1 | trivial | |
99.3.l.a.71.6 | yes | 32 | 3.2 | odd | 2 | inner | |
1089.3.b.i.485.6 | 16 | 33.14 | odd | 10 | |||
1089.3.b.i.485.11 | 16 | 11.3 | even | 5 | |||
1089.3.b.j.485.6 | 16 | 11.8 | odd | 10 | |||
1089.3.b.j.485.11 | 16 | 33.8 | even | 10 |