Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,4,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), degree \(6\), 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: | \(4.36614134042\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 49.2 | ||
Character | \(\chi\) | \(=\) | 74.49 |
Dual form | 74.4.f.b.71.2 |
$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.53209 | − | 1.28558i | 0.541675 | − | 0.454519i | ||||
\(3\) | −2.66631 | − | 2.23730i | −0.513132 | − | 0.430569i | 0.349098 | − | 0.937086i | \(-0.386488\pi\) |
−0.862230 | + | 0.506518i | \(0.830933\pi\) | |||||||
\(4\) | 0.694593 | − | 3.93923i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −17.8476 | + | 6.49601i | −1.59634 | + | 0.581021i | −0.978674 | − | 0.205419i | \(-0.934144\pi\) |
−0.617667 | + | 0.786440i | \(0.711922\pi\) | |||||||
\(6\) | −6.96124 | −0.473653 | ||||||||
\(7\) | −11.9434 | + | 4.34706i | −0.644885 | + | 0.234719i | −0.643697 | − | 0.765280i | \(-0.722600\pi\) |
−0.00118793 | + | 0.999999i | \(0.500378\pi\) | |||||||
\(8\) | −4.00000 | − | 6.92820i | −0.176777 | − | 0.306186i | ||||
\(9\) | −2.58480 | − | 14.6591i | −0.0957334 | − | 0.542931i | ||||
\(10\) | −18.9931 | + | 32.8969i | −0.600613 | + | 1.04029i | ||||
\(11\) | 8.70606 | + | 15.0793i | 0.238634 | + | 0.413327i | 0.960323 | − | 0.278891i | \(-0.0899670\pi\) |
−0.721688 | + | 0.692218i | \(0.756634\pi\) | |||||||
\(12\) | −10.6652 | + | 8.94920i | −0.256566 | + | 0.215284i | ||||
\(13\) | 1.74549 | − | 9.89915i | 0.0372393 | − | 0.211195i | −0.960510 | − | 0.278244i | \(-0.910248\pi\) |
0.997750 | + | 0.0670497i | \(0.0213586\pi\) | |||||||
\(14\) | −12.7099 | + | 22.0143i | −0.242634 | + | 0.420254i | ||||
\(15\) | 62.1209 | + | 22.6101i | 1.06930 | + | 0.389194i | ||||
\(16\) | −15.0351 | − | 5.47232i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −3.12015 | − | 17.6953i | −0.0445146 | − | 0.252455i | 0.954427 | − | 0.298443i | \(-0.0964674\pi\) |
−0.998942 | + | 0.0459884i | \(0.985356\pi\) | |||||||
\(18\) | −22.8056 | − | 19.1361i | −0.298629 | − | 0.250580i | ||||
\(19\) | −113.552 | − | 95.2818i | −1.37109 | − | 1.15048i | −0.972380 | − | 0.233405i | \(-0.925013\pi\) |
−0.398711 | − | 0.917076i | \(-0.630542\pi\) | |||||||
\(20\) | 13.1924 | + | 74.8180i | 0.147496 | + | 0.836491i | ||||
\(21\) | 41.5706 | + | 15.1305i | 0.431974 | + | 0.157226i | ||||
\(22\) | 32.7241 | + | 11.9106i | 0.317127 | + | 0.115425i | ||||
\(23\) | 19.8475 | − | 34.3769i | 0.179935 | − | 0.311656i | −0.761923 | − | 0.647667i | \(-0.775745\pi\) |
0.941858 | + | 0.336011i | \(0.109078\pi\) | |||||||
\(24\) | −4.83523 | + | 27.4219i | −0.0411245 | + | 0.233228i | ||||
\(25\) | 180.584 | − | 151.528i | 1.44468 | − | 1.21223i | ||||
\(26\) | −10.0519 | − | 17.4103i | −0.0758205 | − | 0.131325i | ||||
\(27\) | −72.8934 | + | 126.255i | −0.519568 | + | 0.899918i | ||||
\(28\) | 8.82823 | + | 50.0674i | 0.0595850 | + | 0.337923i | ||||
\(29\) | 38.7705 | + | 67.1525i | 0.248259 | + | 0.429997i | 0.963043 | − | 0.269349i | \(-0.0868084\pi\) |
−0.714784 | + | 0.699345i | \(0.753475\pi\) | |||||||
\(30\) | 124.242 | − | 45.2203i | 0.756111 | − | 0.275202i | ||||
\(31\) | 23.0044 | 0.133281 | 0.0666406 | − | 0.997777i | \(-0.478772\pi\) | ||||
0.0666406 | + | 0.997777i | \(0.478772\pi\) | |||||||
\(32\) | −30.0702 | + | 10.9446i | −0.166116 | + | 0.0604612i | ||||
\(33\) | 10.5239 | − | 59.6843i | 0.0555147 | − | 0.314839i | ||||
\(34\) | −27.5290 | − | 23.0995i | −0.138858 | − | 0.116516i | ||||
\(35\) | 184.924 | − | 155.169i | 0.893080 | − | 0.749383i | ||||
\(36\) | −59.5411 | −0.275653 | ||||||||
\(37\) | 78.2232 | − | 211.031i | 0.347563 | − | 0.937657i | ||||
\(38\) | −296.464 | −1.26560 | ||||||||
\(39\) | −26.8014 | + | 22.4890i | −0.110042 | + | 0.0923366i | ||||
\(40\) | 116.396 | + | 97.6680i | 0.460096 | + | 0.386067i | ||||
\(41\) | −55.2449 | + | 313.310i | −0.210434 | + | 1.19343i | 0.678221 | + | 0.734858i | \(0.262751\pi\) |
−0.888656 | + | 0.458575i | \(0.848360\pi\) | |||||||
\(42\) | 83.1412 | − | 30.2609i | 0.305451 | − | 0.111175i | ||||
\(43\) | −232.333 | −0.823964 | −0.411982 | − | 0.911192i | \(-0.635163\pi\) | ||||
−0.411982 | + | 0.911192i | \(0.635163\pi\) | |||||||
\(44\) | 65.4482 | − | 23.8212i | 0.224243 | − | 0.0816177i | ||||
\(45\) | 141.358 | + | 244.840i | 0.468277 | + | 0.811080i | ||||
\(46\) | −13.7859 | − | 78.1840i | −0.0441875 | − | 0.250600i | ||||
\(47\) | 210.436 | − | 364.486i | 0.653090 | − | 1.13119i | −0.329278 | − | 0.944233i | \(-0.606805\pi\) |
0.982369 | − | 0.186953i | \(-0.0598612\pi\) | |||||||
\(48\) | 27.8450 | + | 48.2289i | 0.0837307 | + | 0.145026i | ||||
\(49\) | −139.004 | + | 116.639i | −0.405261 | + | 0.340054i | ||||
\(50\) | 81.8703 | − | 464.310i | 0.231564 | − | 1.31327i | ||||
\(51\) | −31.2703 | + | 54.1618i | −0.0858573 | + | 0.148709i | ||||
\(52\) | −37.7826 | − | 13.7518i | −0.100760 | − | 0.0366736i | ||||
\(53\) | 398.264 | + | 144.956i | 1.03218 | + | 0.375684i | 0.801912 | − | 0.597442i | \(-0.203816\pi\) |
0.230272 | + | 0.973126i | \(0.426038\pi\) | |||||||
\(54\) | 50.6312 | + | 287.144i | 0.127593 | + | 0.723617i | ||||
\(55\) | −253.338 | − | 212.576i | −0.621093 | − | 0.521159i | ||||
\(56\) | 77.8910 | + | 65.3583i | 0.185868 | + | 0.155962i | ||||
\(57\) | 89.5921 | + | 508.102i | 0.208189 | + | 1.18070i | ||||
\(58\) | 145.729 | + | 53.0412i | 0.329917 | + | 0.120080i | ||||
\(59\) | −610.887 | − | 222.345i | −1.34798 | − | 0.490624i | −0.435661 | − | 0.900111i | \(-0.643485\pi\) |
−0.912316 | + | 0.409487i | \(0.865708\pi\) | |||||||
\(60\) | 132.215 | − | 229.004i | 0.284482 | − | 0.492737i | ||||
\(61\) | −52.4813 | + | 297.636i | −0.110156 | + | 0.624728i | 0.878879 | + | 0.477046i | \(0.158292\pi\) |
−0.989035 | + | 0.147682i | \(0.952819\pi\) | |||||||
\(62\) | 35.2448 | − | 29.5739i | 0.0721951 | − | 0.0605789i | ||||
\(63\) | 94.5955 | + | 163.844i | 0.189173 | + | 0.327658i | ||||
\(64\) | −32.0000 | + | 55.4256i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 33.1521 | + | 188.015i | 0.0632618 | + | 0.358775i | ||||
\(66\) | −60.6050 | − | 104.971i | −0.113030 | − | 0.195773i | ||||
\(67\) | −754.228 | + | 274.517i | −1.37528 | + | 0.500560i | −0.920744 | − | 0.390168i | \(-0.872417\pi\) |
−0.454535 | + | 0.890729i | \(0.650195\pi\) | |||||||
\(68\) | −71.8730 | −0.128175 | ||||||||
\(69\) | −129.831 | + | 47.2547i | −0.226519 | + | 0.0824463i | ||||
\(70\) | 83.8376 | − | 475.467i | 0.143150 | − | 0.811845i | ||||
\(71\) | −234.195 | − | 196.513i | −0.391462 | − | 0.328476i | 0.425720 | − | 0.904855i | \(-0.360021\pi\) |
−0.817182 | + | 0.576379i | \(0.804465\pi\) | |||||||
\(72\) | −91.2223 | + | 76.5446i | −0.149315 | + | 0.125290i | ||||
\(73\) | −994.976 | −1.59525 | −0.797624 | − | 0.603155i | \(-0.793910\pi\) | ||||
−0.797624 | + | 0.603155i | \(0.793910\pi\) | |||||||
\(74\) | −151.451 | − | 423.880i | −0.237917 | − | 0.665879i | ||||
\(75\) | −820.509 | −1.26326 | ||||||||
\(76\) | −454.210 | + | 381.127i | −0.685545 | + | 0.575241i | ||||
\(77\) | −169.531 | − | 142.253i | −0.250907 | − | 0.210536i | ||||
\(78\) | −12.1508 | + | 68.9104i | −0.0176385 | + | 0.100033i | ||||
\(79\) | 698.816 | − | 254.348i | 0.995227 | − | 0.362233i | 0.207485 | − | 0.978238i | \(-0.433472\pi\) |
0.787742 | + | 0.616005i | \(0.211250\pi\) | |||||||
\(80\) | 303.889 | 0.424698 | ||||||||
\(81\) | 99.1621 | − | 36.0920i | 0.136025 | − | 0.0495090i | ||||
\(82\) | 318.143 | + | 551.040i | 0.428451 | + | 0.742099i | ||||
\(83\) | −75.2616 | − | 426.830i | −0.0995305 | − | 0.564466i | −0.993265 | − | 0.115868i | \(-0.963035\pi\) |
0.893734 | − | 0.448597i | \(-0.148076\pi\) | |||||||
\(84\) | 88.4770 | − | 153.247i | 0.114924 | − | 0.199055i | ||||
\(85\) | 170.636 | + | 295.550i | 0.217742 | + | 0.377140i | ||||
\(86\) | −355.955 | + | 298.682i | −0.446321 | + | 0.374508i | ||||
\(87\) | 46.8661 | − | 265.791i | 0.0577537 | − | 0.327537i | ||||
\(88\) | 69.6485 | − | 120.635i | 0.0843699 | − | 0.146133i | ||||
\(89\) | 1110.61 | + | 404.227i | 1.32274 | + | 0.481438i | 0.904335 | − | 0.426822i | \(-0.140367\pi\) |
0.418405 | + | 0.908261i | \(0.362589\pi\) | |||||||
\(90\) | 531.334 | + | 193.390i | 0.622306 | + | 0.226501i | ||||
\(91\) | 22.1850 | + | 125.818i | 0.0255563 | + | 0.144937i | ||||
\(92\) | −121.633 | − | 102.062i | −0.137838 | − | 0.115660i | ||||
\(93\) | −61.3370 | − | 51.4678i | −0.0683908 | − | 0.0573867i | ||||
\(94\) | −146.167 | − | 828.956i | −0.160383 | − | 0.909578i | ||||
\(95\) | 2645.60 | + | 962.918i | 2.85718 | + | 1.03993i | ||||
\(96\) | 104.663 | + | 38.0942i | 0.111272 | + | 0.0404997i | ||||
\(97\) | 912.860 | − | 1581.12i | 0.955535 | − | 1.65504i | 0.222397 | − | 0.974956i | \(-0.428612\pi\) |
0.733139 | − | 0.680079i | \(-0.238055\pi\) | |||||||
\(98\) | −63.0195 | + | 357.401i | −0.0649585 | + | 0.368398i | ||||
\(99\) | 198.547 | − | 166.600i | 0.201563 | − | 0.169131i | ||||
\(100\) | −471.473 | − | 816.614i | −0.471473 | − | 0.816614i | ||||
\(101\) | −887.152 | + | 1536.59i | −0.874009 | + | 1.51383i | −0.0161953 | + | 0.999869i | \(0.505155\pi\) |
−0.857814 | + | 0.513960i | \(0.828178\pi\) | |||||||
\(102\) | 21.7201 | + | 123.181i | 0.0210845 | + | 0.119576i | ||||
\(103\) | −673.842 | − | 1167.13i | −0.644618 | − | 1.11651i | −0.984390 | − | 0.176003i | \(-0.943683\pi\) |
0.339772 | − | 0.940508i | \(-0.389650\pi\) | |||||||
\(104\) | −75.5653 | + | 27.5035i | −0.0712479 | + | 0.0259321i | ||||
\(105\) | −840.224 | −0.780929 | ||||||||
\(106\) | 796.528 | − | 289.912i | 0.729864 | − | 0.265649i | ||||
\(107\) | −162.454 | + | 921.320i | −0.146775 | + | 0.832405i | 0.819149 | + | 0.573581i | \(0.194446\pi\) |
−0.965924 | + | 0.258824i | \(0.916665\pi\) | |||||||
\(108\) | 446.717 | + | 374.840i | 0.398012 | + | 0.333972i | ||||
\(109\) | 1312.12 | − | 1101.00i | 1.15301 | − | 0.967492i | 0.153226 | − | 0.988191i | \(-0.451034\pi\) |
0.999786 | + | 0.0206995i | \(0.00658933\pi\) | |||||||
\(110\) | −661.419 | −0.573307 | ||||||||
\(111\) | −680.707 | + | 387.666i | −0.582071 | + | 0.331492i | ||||
\(112\) | 203.359 | 0.171568 | ||||||||
\(113\) | 1186.29 | − | 995.416i | 0.987582 | − | 0.828680i | 0.00236644 | − | 0.999997i | \(-0.499247\pi\) |
0.985216 | + | 0.171317i | \(0.0548023\pi\) | |||||||
\(114\) | 790.466 | + | 663.280i | 0.649421 | + | 0.544929i | ||||
\(115\) | −130.919 | + | 742.476i | −0.106158 | + | 0.602055i | ||||
\(116\) | 291.459 | − | 106.082i | 0.233287 | − | 0.0849095i | ||||
\(117\) | −149.625 | −0.118229 | ||||||||
\(118\) | −1221.77 | + | 444.689i | −0.953164 | + | 0.346923i | ||||
\(119\) | 114.188 | + | 197.779i | 0.0879628 | + | 0.152356i | ||||
\(120\) | −91.8358 | − | 520.827i | −0.0698618 | − | 0.396206i | ||||
\(121\) | 513.909 | − | 890.116i | 0.386107 | − | 0.668758i | ||||
\(122\) | 302.228 | + | 523.474i | 0.224282 | + | 0.388468i | ||||
\(123\) | 848.268 | − | 711.781i | 0.621835 | − | 0.521782i | ||||
\(124\) | 15.9787 | − | 90.6198i | 0.0115720 | − | 0.0656282i | ||||
\(125\) | −1051.61 | + | 1821.44i | −0.752471 | + | 1.30332i | ||||
\(126\) | 355.563 | + | 129.414i | 0.251397 | + | 0.0915011i | ||||
\(127\) | −1330.55 | − | 484.280i | −0.929663 | − | 0.338370i | −0.167587 | − | 0.985857i | \(-0.553597\pi\) |
−0.762076 | + | 0.647488i | \(0.775820\pi\) | |||||||
\(128\) | 22.2270 | + | 126.055i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | 619.472 | + | 519.799i | 0.422802 | + | 0.354773i | ||||
\(130\) | 292.500 | + | 245.436i | 0.197338 | + | 0.165586i | ||||
\(131\) | 107.032 | + | 607.009i | 0.0713850 | + | 0.404844i | 0.999472 | + | 0.0324818i | \(0.0103411\pi\) |
−0.928087 | + | 0.372363i | \(0.878548\pi\) | |||||||
\(132\) | −227.800 | − | 82.9125i | −0.150208 | − | 0.0546713i | ||||
\(133\) | 1770.40 | + | 644.374i | 1.15424 | + | 0.420108i | ||||
\(134\) | −802.633 | + | 1390.20i | −0.517440 | + | 0.896232i | ||||
\(135\) | 480.821 | − | 2726.87i | 0.306537 | − | 1.73846i | ||||
\(136\) | −110.116 | + | 92.3981i | −0.0694291 | + | 0.0582579i | ||||
\(137\) | −594.952 | − | 1030.49i | −0.371023 | − | 0.642631i | 0.618700 | − | 0.785627i | \(-0.287660\pi\) |
−0.989723 | + | 0.142996i | \(0.954326\pi\) | |||||||
\(138\) | −138.163 | + | 239.306i | −0.0852264 | + | 0.147617i | ||||
\(139\) | −151.924 | − | 861.606i | −0.0927054 | − | 0.525759i | −0.995426 | − | 0.0955320i | \(-0.969545\pi\) |
0.902721 | − | 0.430227i | \(-0.141566\pi\) | |||||||
\(140\) | −482.801 | − | 836.236i | −0.291458 | − | 0.504821i | ||||
\(141\) | −1376.55 | + | 501.024i | −0.822175 | + | 0.299247i | ||||
\(142\) | −611.439 | −0.361344 | ||||||||
\(143\) | 164.469 | − | 59.8618i | 0.0961789 | − | 0.0350063i | ||||
\(144\) | −41.3568 | + | 234.546i | −0.0239333 | + | 0.135733i | ||||
\(145\) | −1128.19 | − | 946.660i | −0.646143 | − | 0.542178i | ||||
\(146\) | −1524.39 | + | 1279.12i | −0.864106 | + | 0.725071i | ||||
\(147\) | 631.584 | 0.354369 | ||||||||
\(148\) | −776.967 | − | 454.720i | −0.431529 | − | 0.252552i | ||||
\(149\) | −469.821 | −0.258317 | −0.129158 | − | 0.991624i | \(-0.541228\pi\) | ||||
−0.129158 | + | 0.991624i | \(0.541228\pi\) | |||||||
\(150\) | −1257.09 | + | 1054.83i | −0.684274 | + | 0.574174i | ||||
\(151\) | 146.323 | + | 122.779i | 0.0788581 | + | 0.0661698i | 0.681365 | − | 0.731944i | \(-0.261387\pi\) |
−0.602507 | + | 0.798114i | \(0.705831\pi\) | |||||||
\(152\) | −205.922 | + | 1167.84i | −0.109885 | + | 0.623188i | ||||
\(153\) | −251.332 | + | 91.4775i | −0.132804 | + | 0.0483367i | ||||
\(154\) | −442.614 | −0.231603 | ||||||||
\(155\) | −410.575 | + | 149.437i | −0.212762 | + | 0.0774392i | ||||
\(156\) | 69.9734 | + | 121.198i | 0.0359126 | + | 0.0622024i | ||||
\(157\) | −188.435 | − | 1068.67i | −0.0957884 | − | 0.543243i | −0.994503 | − | 0.104709i | \(-0.966609\pi\) |
0.898714 | − | 0.438534i | \(-0.144502\pi\) | |||||||
\(158\) | 743.664 | − | 1288.06i | 0.374448 | − | 0.648562i | ||||
\(159\) | −737.585 | − | 1277.53i | −0.367889 | − | 0.637202i | ||||
\(160\) | 465.585 | − | 390.672i | 0.230048 | − | 0.193033i | ||||
\(161\) | −87.6093 | + | 496.857i | −0.0428856 | + | 0.243216i | ||||
\(162\) | 105.526 | − | 182.777i | 0.0511785 | − | 0.0886437i | ||||
\(163\) | −3571.14 | − | 1299.79i | −1.71603 | − | 0.624585i | −0.718549 | − | 0.695476i | \(-0.755194\pi\) |
−0.997484 | + | 0.0708909i | \(0.977416\pi\) | |||||||
\(164\) | 1195.83 | + | 435.245i | 0.569380 | + | 0.207237i | ||||
\(165\) | 199.882 | + | 1133.59i | 0.0943078 | + | 0.534846i | ||||
\(166\) | −664.029 | − | 557.187i | −0.310474 | − | 0.260518i | ||||
\(167\) | −788.658 | − | 661.763i | −0.365438 | − | 0.306639i | 0.441516 | − | 0.897254i | \(-0.354441\pi\) |
−0.806954 | + | 0.590614i | \(0.798885\pi\) | |||||||
\(168\) | −61.4555 | − | 348.531i | −0.0282226 | − | 0.160058i | ||||
\(169\) | 1969.56 | + | 716.861i | 0.896476 | + | 0.326291i | ||||
\(170\) | 641.382 | + | 233.444i | 0.289363 | + | 0.105320i | ||||
\(171\) | −1103.24 | + | 1910.87i | −0.493373 | + | 0.854547i | ||||
\(172\) | −161.377 | + | 915.213i | −0.0715399 | + | 0.405723i | ||||
\(173\) | 1427.17 | − | 1197.54i | 0.627202 | − | 0.526285i | −0.272856 | − | 0.962055i | \(-0.587968\pi\) |
0.900058 | + | 0.435770i | \(0.143524\pi\) | |||||||
\(174\) | −269.891 | − | 467.465i | −0.117588 | − | 0.203669i | ||||
\(175\) | −1498.10 | + | 2594.78i | −0.647117 | + | 1.12084i | ||||
\(176\) | −48.3773 | − | 274.362i | −0.0207192 | − | 0.117504i | ||||
\(177\) | 1131.36 | + | 1959.58i | 0.480443 | + | 0.832151i | ||||
\(178\) | 2221.21 | − | 808.454i | 0.935319 | − | 0.340428i | ||||
\(179\) | 1376.17 | 0.574637 | 0.287319 | − | 0.957835i | \(-0.407236\pi\) | ||||
0.287319 | + | 0.957835i | \(0.407236\pi\) | |||||||
\(180\) | 1062.67 | − | 386.780i | 0.440037 | − | 0.160160i | ||||
\(181\) | −457.256 | + | 2593.23i | −0.187777 | + | 1.06494i | 0.734559 | + | 0.678545i | \(0.237389\pi\) |
−0.922335 | + | 0.386390i | \(0.873722\pi\) | |||||||
\(182\) | 195.737 | + | 164.243i | 0.0797199 | + | 0.0668930i | ||||
\(183\) | 805.833 | − | 676.174i | 0.325513 | − | 0.273138i | ||||
\(184\) | −317.560 | −0.127233 | ||||||||
\(185\) | −25.2401 | + | 4274.55i | −0.0100308 | + | 1.69876i | ||||
\(186\) | −160.139 | −0.0631290 | ||||||||
\(187\) | 239.669 | − | 201.106i | 0.0937236 | − | 0.0786435i | ||||
\(188\) | −1289.63 | − | 1082.13i | −0.500296 | − | 0.419798i | ||||
\(189\) | 321.760 | − | 1824.79i | 0.123834 | − | 0.702296i | ||||
\(190\) | 5291.19 | − | 1925.84i | 2.02033 | − | 0.735341i | ||||
\(191\) | 222.266 | 0.0842020 | 0.0421010 | − | 0.999113i | \(-0.486595\pi\) | ||||
0.0421010 | + | 0.999113i | \(0.486595\pi\) | |||||||
\(192\) | 209.326 | − | 76.1883i | 0.0786811 | − | 0.0286376i | ||||
\(193\) | 386.250 | + | 669.005i | 0.144057 | + | 0.249513i | 0.929021 | − | 0.370028i | \(-0.120652\pi\) |
−0.784964 | + | 0.619541i | \(0.787319\pi\) | |||||||
\(194\) | −634.066 | − | 3595.97i | −0.234656 | − | 1.33080i | ||||
\(195\) | 332.252 | − | 575.478i | 0.122016 | − | 0.211338i | ||||
\(196\) | 362.915 | + | 628.587i | 0.132258 | + | 0.229077i | ||||
\(197\) | −1831.42 | + | 1536.74i | −0.662351 | + | 0.555779i | −0.910791 | − | 0.412869i | \(-0.864527\pi\) |
0.248439 | + | 0.968647i | \(0.420082\pi\) | |||||||
\(198\) | 90.0138 | − | 510.493i | 0.0323081 | − | 0.183228i | ||||
\(199\) | −1590.38 | + | 2754.62i | −0.566529 | + | 0.981257i | 0.430377 | + | 0.902649i | \(0.358381\pi\) |
−0.996906 | + | 0.0786076i | \(0.974953\pi\) | |||||||
\(200\) | −1772.16 | − | 645.012i | −0.626552 | − | 0.228046i | ||||
\(201\) | 2625.18 | + | 955.489i | 0.921225 | + | 0.335298i | ||||
\(202\) | 616.210 | + | 3494.70i | 0.214635 | + | 1.21726i | ||||
\(203\) | −754.969 | − | 633.494i | −0.261027 | − | 0.219027i | ||||
\(204\) | 191.636 | + | 160.801i | 0.0657705 | + | 0.0551880i | ||||
\(205\) | −1049.27 | − | 5950.71i | −0.357484 | − | 2.02739i | ||||
\(206\) | −2532.82 | − | 921.871i | −0.856650 | − | 0.311795i | ||||
\(207\) | −555.238 | − | 202.090i | −0.186433 | − | 0.0678562i | ||||
\(208\) | −80.4149 | + | 139.283i | −0.0268066 | + | 0.0464304i | ||||
\(209\) | 448.193 | − | 2541.83i | 0.148336 | − | 0.841253i | ||||
\(210\) | −1287.30 | + | 1080.17i | −0.423010 | + | 0.354947i | ||||
\(211\) | −768.628 | − | 1331.30i | −0.250780 | − | 0.434364i | 0.712961 | − | 0.701204i | \(-0.247354\pi\) |
−0.963741 | + | 0.266840i | \(0.914020\pi\) | |||||||
\(212\) | 847.647 | − | 1468.17i | 0.274607 | − | 0.475633i | ||||
\(213\) | 184.778 | + | 1047.93i | 0.0594403 | + | 0.337103i | ||||
\(214\) | 935.532 | + | 1620.39i | 0.298840 | + | 0.517605i | ||||
\(215\) | 4146.59 | − | 1509.24i | 1.31533 | − | 0.478740i | ||||
\(216\) | 1166.29 | 0.367390 | ||||||||
\(217\) | −274.752 | + | 100.002i | −0.0859511 | + | 0.0312836i | ||||
\(218\) | 594.867 | − | 3373.66i | 0.184814 | − | 1.04813i | ||||
\(219\) | 2652.91 | + | 2226.06i | 0.818572 | + | 0.686864i | ||||
\(220\) | −1013.35 | + | 850.304i | −0.310546 | + | 0.260579i | ||||
\(221\) | −180.614 | −0.0549748 | ||||||||
\(222\) | −544.531 | + | 1469.04i | −0.164624 | + | 0.444123i | ||||
\(223\) | 5022.11 | 1.50810 | 0.754048 | − | 0.656819i | \(-0.228098\pi\) | ||||
0.754048 | + | 0.656819i | \(0.228098\pi\) | |||||||
\(224\) | 311.564 | − | 261.433i | 0.0929342 | − | 0.0779810i | ||||
\(225\) | −2688.05 | − | 2255.54i | −0.796459 | − | 0.668309i | ||||
\(226\) | 537.820 | − | 3050.13i | 0.158298 | − | 0.897751i | ||||
\(227\) | 2219.75 | − | 807.923i | 0.649031 | − | 0.236228i | 0.00353728 | − | 0.999994i | \(-0.498874\pi\) |
0.645493 | + | 0.763766i | \(0.276652\pi\) | |||||||
\(228\) | 2063.76 | 0.599456 | ||||||||
\(229\) | 836.564 | − | 304.485i | 0.241405 | − | 0.0878642i | −0.218484 | − | 0.975840i | \(-0.570111\pi\) |
0.459889 | + | 0.887976i | \(0.347889\pi\) | |||||||
\(230\) | 753.930 | + | 1305.85i | 0.216142 | + | 0.374369i | ||||
\(231\) | 133.759 | + | 758.584i | 0.0380982 | + | 0.216066i | ||||
\(232\) | 310.164 | − | 537.220i | 0.0877727 | − | 0.152027i | ||||
\(233\) | −2504.51 | − | 4337.93i | −0.704188 | − | 1.21969i | −0.966984 | − | 0.254837i | \(-0.917978\pi\) |
0.262796 | − | 0.964851i | \(-0.415355\pi\) | |||||||
\(234\) | −229.238 | + | 192.354i | −0.0640418 | + | 0.0537374i | ||||
\(235\) | −1388.08 | + | 7872.21i | −0.385313 | + | 2.18522i | ||||
\(236\) | −1300.18 | + | 2251.98i | −0.358622 | + | 0.621151i | ||||
\(237\) | −2432.31 | − | 885.289i | −0.666648 | − | 0.242640i | ||||
\(238\) | 429.205 | + | 156.218i | 0.116896 | + | 0.0425467i | ||||
\(239\) | 83.2757 | + | 472.280i | 0.0225383 | + | 0.127821i | 0.994001 | − | 0.109372i | \(-0.0348838\pi\) |
−0.971463 | + | 0.237193i | \(0.923773\pi\) | |||||||
\(240\) | −810.262 | − | 679.891i | −0.217926 | − | 0.182861i | ||||
\(241\) | −4762.49 | − | 3996.21i | −1.27294 | − | 1.06813i | −0.994176 | − | 0.107767i | \(-0.965630\pi\) |
−0.278767 | − | 0.960359i | \(-0.589926\pi\) | |||||||
\(242\) | −356.957 | − | 2024.41i | −0.0948186 | − | 0.537743i | ||||
\(243\) | 3353.71 | + | 1220.65i | 0.885353 | + | 0.322242i | ||||
\(244\) | 1136.00 | + | 413.472i | 0.298054 | + | 0.108483i | ||||
\(245\) | 1723.22 | − | 2984.70i | 0.449356 | − | 0.778307i | ||||
\(246\) | 384.573 | − | 2181.02i | 0.0996728 | − | 0.565272i | ||||
\(247\) | −1141.41 | + | 957.760i | −0.294034 | + | 0.246724i | ||||
\(248\) | −92.0177 | − | 159.379i | −0.0235610 | − | 0.0408089i | ||||
\(249\) | −754.275 | + | 1306.44i | −0.191969 | + | 0.332500i | ||||
\(250\) | 730.441 | + | 4142.54i | 0.184789 | + | 1.04799i | ||||
\(251\) | 1575.17 | + | 2728.27i | 0.396111 | + | 0.686084i | 0.993242 | − | 0.116059i | \(-0.0370262\pi\) |
−0.597131 | + | 0.802143i | \(0.703693\pi\) | |||||||
\(252\) | 711.126 | − | 258.829i | 0.177765 | − | 0.0647011i | ||||
\(253\) | 691.175 | 0.171754 | ||||||||
\(254\) | −2661.10 | + | 968.561i | −0.657371 | + | 0.239263i | ||||
\(255\) | 206.266 | − | 1169.79i | 0.0506544 | − | 0.287276i | ||||
\(256\) | 196.107 | + | 164.554i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −2161.16 | + | 1813.43i | −0.524551 | + | 0.440150i | −0.866215 | − | 0.499672i | \(-0.833454\pi\) |
0.341664 | + | 0.939822i | \(0.389010\pi\) | |||||||
\(258\) | 1617.33 | 0.390273 | ||||||||
\(259\) | −16.8904 | + | 2860.48i | −0.00405219 | + | 0.686260i | ||||
\(260\) | 763.662 | 0.182155 | ||||||||
\(261\) | 884.183 | − | 741.918i | 0.209692 | − | 0.175952i | ||||
\(262\) | 944.338 | + | 792.394i | 0.222677 | + | 0.186848i | ||||
\(263\) | −763.430 | + | 4329.63i | −0.178993 | + | 1.01512i | 0.754441 | + | 0.656368i | \(0.227908\pi\) |
−0.933433 | + | 0.358751i | \(0.883203\pi\) | |||||||
\(264\) | −455.601 | + | 165.825i | −0.106213 | + | 0.0386584i | ||||
\(265\) | −8049.71 | −1.86600 | ||||||||
\(266\) | 3540.81 | − | 1288.75i | 0.816168 | − | 0.297061i | ||||
\(267\) | −2056.84 | − | 3562.55i | −0.471448 | − | 0.816572i | ||||
\(268\) | 557.503 | + | 3161.76i | 0.127071 | + | 0.720653i | ||||
\(269\) | −2427.76 | + | 4205.01i | −0.550273 | + | 0.953101i | 0.447982 | + | 0.894043i | \(0.352143\pi\) |
−0.998255 | + | 0.0590580i | \(0.981190\pi\) | |||||||
\(270\) | −2768.94 | − | 4795.94i | −0.624119 | − | 1.08101i | ||||
\(271\) | −4688.61 | + | 3934.21i | −1.05097 | + | 0.881868i | −0.993195 | − | 0.116461i | \(-0.962845\pi\) |
−0.0577744 | + | 0.998330i | \(0.518400\pi\) | |||||||
\(272\) | −49.9225 | + | 283.124i | −0.0111287 | + | 0.0631137i | ||||
\(273\) | 222.340 | − | 385.103i | 0.0492916 | − | 0.0853755i | ||||
\(274\) | −2236.29 | − | 813.942i | −0.493062 | − | 0.179460i | ||||
\(275\) | 3857.13 | + | 1403.88i | 0.845795 | + | 0.307844i | ||||
\(276\) | 95.9673 | + | 544.258i | 0.0209295 | + | 0.118697i | ||||
\(277\) | 2327.60 | + | 1953.09i | 0.504881 | + | 0.423646i | 0.859324 | − | 0.511432i | \(-0.170885\pi\) |
−0.354442 | + | 0.935078i | \(0.615329\pi\) | |||||||
\(278\) | −1340.42 | − | 1124.75i | −0.289184 | − | 0.242654i | ||||
\(279\) | −59.4619 | − | 337.225i | −0.0127595 | − | 0.0723625i | ||||
\(280\) | −1814.74 | − | 660.511i | −0.387327 | − | 0.140975i | ||||
\(281\) | 3476.28 | + | 1265.26i | 0.737998 | + | 0.268609i | 0.683547 | − | 0.729907i | \(-0.260437\pi\) |
0.0544518 | + | 0.998516i | \(0.482659\pi\) | |||||||
\(282\) | −1464.90 | + | 2537.27i | −0.309338 | + | 0.535789i | ||||
\(283\) | 1052.02 | − | 5966.31i | 0.220976 | − | 1.25322i | −0.649254 | − | 0.760571i | \(-0.724919\pi\) |
0.870230 | − | 0.492645i | \(-0.163970\pi\) | |||||||
\(284\) | −936.779 | + | 786.051i | −0.195731 | + | 0.164238i | ||||
\(285\) | −4899.64 | − | 8486.43i | −1.01835 | − | 1.76383i | ||||
\(286\) | 175.024 | − | 303.151i | 0.0361867 | − | 0.0626772i | ||||
\(287\) | −702.160 | − | 3982.15i | −0.144415 | − | 0.819020i | ||||
\(288\) | 238.164 | + | 412.513i | 0.0487291 | + | 0.0844012i | ||||
\(289\) | 4313.32 | − | 1569.92i | 0.877941 | − | 0.319544i | ||||
\(290\) | −2945.48 | −0.596430 | ||||||||
\(291\) | −5971.41 | + | 2173.42i | −1.20292 | + | 0.437828i | ||||
\(292\) | −691.103 | + | 3919.44i | −0.138506 | + | 0.785506i | ||||
\(293\) | 635.440 | + | 533.198i | 0.126699 | + | 0.106313i | 0.703935 | − | 0.710264i | \(-0.251424\pi\) |
−0.577236 | + | 0.816577i | \(0.695869\pi\) | |||||||
\(294\) | 967.643 | − | 811.949i | 0.191953 | − | 0.161067i | ||||
\(295\) | 12347.2 | 2.43689 | ||||||||
\(296\) | −1774.96 | + | 302.178i | −0.348539 | + | 0.0593369i | ||||
\(297\) | −2538.46 | −0.495947 | ||||||||
\(298\) | −719.807 | + | 603.990i | −0.139924 | + | 0.117410i | ||||
\(299\) | −305.659 | − | 256.478i | −0.0591194 | − | 0.0496071i | ||||
\(300\) | −569.919 | + | 3232.17i | −0.109681 | + | 0.622032i | ||||
\(301\) | 2774.85 | − | 1009.96i | 0.531362 | − | 0.193400i | ||||
\(302\) | 382.022 | 0.0727910 | ||||||||
\(303\) | 5803.24 | − | 2112.21i | 1.10029 | − | 0.400472i | ||||
\(304\) | 1185.86 | + | 2053.97i | 0.223729 | + | 0.387510i | ||||
\(305\) | −996.780 | − | 5653.02i | −0.187133 | − | 1.06128i | ||||
\(306\) | −267.462 | + | 463.258i | −0.0499667 | + | 0.0865448i | ||||
\(307\) | 705.248 | + | 1221.52i | 0.131109 | + | 0.227088i | 0.924105 | − | 0.382140i | \(-0.124813\pi\) |
−0.792995 | + | 0.609228i | \(0.791479\pi\) | |||||||
\(308\) | −678.124 | + | 569.014i | −0.125454 | + | 0.105268i | ||||
\(309\) | −814.545 | + | 4619.52i | −0.149961 | + | 0.850469i | ||||
\(310\) | −436.925 | + | 756.776i | −0.0800505 | + | 0.138651i | ||||
\(311\) | 974.431 | + | 354.664i | 0.177668 | + | 0.0646660i | 0.429323 | − | 0.903151i | \(-0.358752\pi\) |
−0.251654 | + | 0.967817i | \(0.580975\pi\) | |||||||
\(312\) | 263.014 | + | 95.7293i | 0.0477251 | + | 0.0173705i | ||||
\(313\) | 168.024 | + | 952.910i | 0.0303427 | + | 0.172082i | 0.996213 | − | 0.0869432i | \(-0.0277099\pi\) |
−0.965871 | + | 0.259025i | \(0.916599\pi\) | |||||||
\(314\) | −1662.56 | − | 1395.05i | −0.298801 | − | 0.250724i | ||||
\(315\) | −2752.64 | − | 2309.74i | −0.492361 | − | 0.413140i | ||||
\(316\) | −516.544 | − | 2929.46i | −0.0919552 | − | 0.521504i | ||||
\(317\) | −1696.45 | − | 617.459i | −0.300575 | − | 0.109400i | 0.187330 | − | 0.982297i | \(-0.440017\pi\) |
−0.487905 | + | 0.872897i | \(0.662239\pi\) | |||||||
\(318\) | −2772.41 | − | 1009.08i | −0.488897 | − | 0.177944i | ||||
\(319\) | −675.077 | + | 1169.27i | −0.118486 | + | 0.205224i | ||||
\(320\) | 211.079 | − | 1197.09i | 0.0368740 | − | 0.209123i | ||||
\(321\) | 2494.42 | − | 2093.07i | 0.433723 | − | 0.363936i | ||||
\(322\) | 504.522 | + | 873.857i | 0.0873164 | + | 0.151237i | ||||
\(323\) | −1331.74 | + | 2306.64i | −0.229411 | + | 0.397352i | ||||
\(324\) | −73.2976 | − | 415.692i | −0.0125682 | − | 0.0712777i | ||||
\(325\) | −1184.79 | − | 2052.12i | −0.202217 | − | 0.350250i | ||||
\(326\) | −7142.28 | + | 2599.58i | −1.21342 | + | 0.441648i | ||||
\(327\) | −5961.78 | −1.00822 | ||||||||
\(328\) | 2391.65 | − | 870.490i | 0.402613 | − | 0.146539i | ||||
\(329\) | −928.889 | + | 5267.99i | −0.155658 | + | 0.882778i | ||||
\(330\) | 1763.55 | + | 1479.79i | 0.294182 | + | 0.246848i | ||||
\(331\) | −4820.60 | + | 4044.97i | −0.800496 | + | 0.671696i | −0.948319 | − | 0.317318i | \(-0.897218\pi\) |
0.147823 | + | 0.989014i | \(0.452773\pi\) | |||||||
\(332\) | −1733.66 | −0.286587 | ||||||||
\(333\) | −3295.73 | − | 601.212i | −0.542356 | − | 0.0989375i | ||||
\(334\) | −2059.04 | −0.337322 | ||||||||
\(335\) | 11677.9 | − | 9798.95i | 1.90458 | − | 1.59813i | ||||
\(336\) | −542.218 | − | 454.975i | −0.0880370 | − | 0.0738718i | ||||
\(337\) | −884.120 | + | 5014.10i | −0.142911 | + | 0.810490i | 0.826109 | + | 0.563510i | \(0.190549\pi\) |
−0.969021 | + | 0.246980i | \(0.920562\pi\) | |||||||
\(338\) | 3939.12 | − | 1433.72i | 0.633904 | − | 0.230722i | ||||
\(339\) | −5390.06 | −0.863563 | ||||||||
\(340\) | 1282.76 | − | 466.888i | 0.204611 | − | 0.0744722i | ||||
\(341\) | 200.278 | + | 346.892i | 0.0318055 | + | 0.0550887i | ||||
\(342\) | 766.302 | + | 4345.91i | 0.121160 | + | 0.687135i | ||||
\(343\) | 3332.91 | − | 5772.77i | 0.524666 | − | 0.908747i | ||||
\(344\) | 929.332 | + | 1609.65i | 0.145658 | + | 0.252286i | ||||
\(345\) | 2010.21 | − | 1686.77i | 0.313699 | − | 0.263225i | ||||
\(346\) | 647.028 | − | 3669.48i | 0.100533 | − | 0.570151i | ||||
\(347\) | −1044.88 | + | 1809.79i | −0.161649 | + | 0.279985i | −0.935460 | − | 0.353432i | \(-0.885015\pi\) |
0.773811 | + | 0.633416i | \(0.218348\pi\) | |||||||
\(348\) | −1014.46 | − | 369.233i | −0.156266 | − | 0.0568763i | ||||
\(349\) | −4600.76 | − | 1674.54i | −0.705653 | − | 0.256837i | −0.0358307 | − | 0.999358i | \(-0.511408\pi\) |
−0.669823 | + | 0.742521i | \(0.733630\pi\) | |||||||
\(350\) | 1040.57 | + | 5901.35i | 0.158916 | + | 0.901258i | ||||
\(351\) | 1122.58 | + | 941.959i | 0.170710 | + | 0.143242i | ||||
\(352\) | −426.831 | − | 358.154i | −0.0646311 | − | 0.0542319i | ||||
\(353\) | −1077.52 | − | 6110.92i | −0.162466 | − | 0.921392i | −0.951638 | − | 0.307220i | \(-0.900601\pi\) |
0.789172 | − | 0.614172i | \(-0.210510\pi\) | |||||||
\(354\) | 4252.53 | + | 1547.79i | 0.638473 | + | 0.232385i | ||||
\(355\) | 5456.37 | + | 1985.96i | 0.815758 | + | 0.296912i | ||||
\(356\) | 2363.76 | − | 4094.16i | 0.351908 | − | 0.609522i | ||||
\(357\) | 138.031 | − | 782.812i | 0.0204632 | − | 0.116053i | ||||
\(358\) | 2108.42 | − | 1769.17i | 0.311267 | − | 0.261184i | ||||
\(359\) | −5701.92 | − | 9876.02i | −0.838262 | − | 1.45191i | −0.891347 | − | 0.453322i | \(-0.850239\pi\) |
0.0530853 | − | 0.998590i | \(-0.483094\pi\) | |||||||
\(360\) | 1130.87 | − | 1958.72i | 0.165561 | − | 0.286760i | ||||
\(361\) | 2624.48 | + | 14884.2i | 0.382634 | + | 2.17002i | ||||
\(362\) | 2633.23 | + | 4560.90i | 0.382320 | + | 0.662197i | ||||
\(363\) | −3361.70 | + | 1223.56i | −0.486070 | + | 0.176915i | ||||
\(364\) | 511.034 | 0.0735865 | ||||||||
\(365\) | 17758.0 | − | 6463.37i | 2.54656 | − | 0.926872i | ||||
\(366\) | 365.335 | − | 2071.92i | 0.0521758 | − | 0.295904i | ||||
\(367\) | 10060.9 | + | 8442.06i | 1.43099 | + | 1.20074i | 0.945127 | + | 0.326704i | \(0.105938\pi\) |
0.485860 | + | 0.874037i | \(0.338506\pi\) | |||||||
\(368\) | −486.531 | + | 408.248i | −0.0689189 | + | 0.0578298i | ||||
\(369\) | 4735.65 | 0.668097 | ||||||||
\(370\) | 5456.58 | + | 6581.43i | 0.766687 | + | 0.924736i | ||||
\(371\) | −5386.77 | −0.753820 | ||||||||
\(372\) | −245.348 | + | 205.871i | −0.0341954 | + | 0.0286934i | ||||
\(373\) | 6255.26 | + | 5248.79i | 0.868325 | + | 0.728611i | 0.963745 | − | 0.266826i | \(-0.0859748\pi\) |
−0.0954196 | + | 0.995437i | \(0.530419\pi\) | |||||||
\(374\) | 108.657 | − | 616.224i | 0.0150228 | − | 0.0851984i | ||||
\(375\) | 6879.03 | − | 2503.76i | 0.947284 | − | 0.344783i | ||||
\(376\) | −3366.98 | −0.461805 | ||||||||
\(377\) | 732.426 | − | 266.581i | 0.100058 | − | 0.0364181i | ||||
\(378\) | −1852.94 | − | 3209.39i | −0.252130 | − | 0.436701i | ||||
\(379\) | −1088.87 | − | 6175.27i | −0.147576 | − | 0.836945i | −0.965263 | − | 0.261282i | \(-0.915855\pi\) |
0.817687 | − | 0.575664i | \(-0.195256\pi\) | |||||||
\(380\) | 5630.77 | − | 9752.77i | 0.760138 | − | 1.31660i | ||||
\(381\) | 2464.18 | + | 4268.08i | 0.331348 | + | 0.573912i | ||||
\(382\) | 340.531 | − | 285.739i | 0.0456101 | − | 0.0382715i | ||||
\(383\) | 1619.15 | − | 9182.68i | 0.216018 | − | 1.22510i | −0.663113 | − | 0.748519i | \(-0.730765\pi\) |
0.879131 | − | 0.476580i | \(-0.158124\pi\) | |||||||
\(384\) | 222.760 | − | 385.831i | 0.0296033 | − | 0.0512744i | ||||
\(385\) | 3949.81 | + | 1437.61i | 0.522859 | + | 0.190305i | ||||
\(386\) | 1451.83 | + | 528.422i | 0.191441 | + | 0.0696786i | ||||
\(387\) | 600.535 | + | 3405.80i | 0.0788808 | + | 0.447355i | ||||
\(388\) | −5594.33 | − | 4694.20i | −0.731982 | − | 0.614206i | ||||
\(389\) | −7893.13 | − | 6623.12i | −1.02879 | − | 0.863253i | −0.0380795 | − | 0.999275i | \(-0.512124\pi\) |
−0.990706 | + | 0.136021i | \(0.956568\pi\) | |||||||
\(390\) | −230.780 | − | 1308.82i | −0.0299641 | − | 0.169935i | ||||
\(391\) | −670.236 | − | 243.946i | −0.0866887 | − | 0.0315521i | ||||
\(392\) | 1364.11 | + | 496.497i | 0.175761 | + | 0.0639716i | ||||
\(393\) | 1072.68 | − | 1857.94i | 0.137683 | − | 0.238475i | ||||
\(394\) | −830.298 | + | 4708.85i | −0.106167 | + | 0.602103i | ||||
\(395\) | −10820.0 | + | 9079.02i | −1.37826 | + | 1.15649i | ||||
\(396\) | −518.369 | − | 897.841i | −0.0657803 | − | 0.113935i | ||||
\(397\) | 1619.07 | − | 2804.31i | 0.204682 | − | 0.354520i | −0.745349 | − | 0.666674i | \(-0.767717\pi\) |
0.950031 | + | 0.312154i | \(0.101051\pi\) | |||||||
\(398\) | 1104.67 | + | 6264.89i | 0.139126 | + | 0.789021i | ||||
\(399\) | −3278.79 | − | 5679.02i | −0.411390 | − | 0.712548i | ||||
\(400\) | −3544.31 | + | 1290.02i | −0.443039 | + | 0.161253i | ||||
\(401\) | −8575.99 | −1.06799 | −0.533996 | − | 0.845487i | \(-0.679310\pi\) | ||||
−0.533996 | + | 0.845487i | \(0.679310\pi\) | |||||||
\(402\) | 5250.37 | − | 1910.98i | 0.651404 | − | 0.237092i | ||||
\(403\) | 40.1539 | − | 227.724i | 0.00496330 | − | 0.0281483i | ||||
\(404\) | 5436.78 | + | 4562.00i | 0.669530 | + | 0.561802i | ||||
\(405\) | −1535.35 | + | 1288.32i | −0.188376 | + | 0.158066i | ||||
\(406\) | −1971.08 | −0.240944 | ||||||||
\(407\) | 3863.23 | − | 657.695i | 0.470499 | − | 0.0801001i | ||||
\(408\) | 500.325 | 0.0607103 | ||||||||
\(409\) | −5301.94 | + | 4448.85i | −0.640988 | + | 0.537852i | −0.904321 | − | 0.426852i | \(-0.859622\pi\) |
0.263334 | + | 0.964705i | \(0.415178\pi\) | |||||||
\(410\) | −9257.66 | − | 7768.10i | −1.11513 | − | 0.935705i | ||||
\(411\) | −719.182 | + | 4078.68i | −0.0863130 | + | 0.489505i | ||||
\(412\) | −5065.64 | + | 1843.74i | −0.605743 | + | 0.220472i | ||||
\(413\) | 8262.63 | 0.984449 | ||||||||
\(414\) | −1110.48 | + | 404.180i | −0.131828 | + | 0.0479816i | ||||
\(415\) | 4115.93 | + | 7129.00i | 0.486851 | + | 0.843250i | ||||
\(416\) | 55.8556 | + | 316.773i | 0.00658304 | + | 0.0373343i | ||||
\(417\) | −1522.59 | + | 2637.21i | −0.178805 | + | 0.309699i | ||||
\(418\) | −2581.04 | − | 4470.49i | −0.302016 | − | 0.523107i | ||||
\(419\) | −10916.9 | + | 9160.34i | −1.27285 | + | 1.06805i | −0.278662 | + | 0.960389i | \(0.589891\pi\) |
−0.994188 | + | 0.107658i | \(0.965665\pi\) | |||||||
\(420\) | −583.614 | + | 3309.84i | −0.0678034 | + | 0.384532i | ||||
\(421\) | 2925.56 | − | 5067.22i | 0.338677 | − | 0.586606i | −0.645507 | − | 0.763754i | \(-0.723354\pi\) |
0.984184 | + | 0.177148i | \(0.0566872\pi\) | |||||||
\(422\) | −2889.10 | − | 1051.55i | −0.333268 | − | 0.121300i | ||||
\(423\) | −5886.98 | − | 2142.69i | −0.676678 | − | 0.246291i | ||||
\(424\) | −588.770 | − | 3339.08i | −0.0674367 | − | 0.382453i | ||||
\(425\) | −3244.79 | − | 2722.70i | −0.370342 | − | 0.310754i | ||||
\(426\) | 1630.29 | + | 1367.97i | 0.185417 | + | 0.155583i | ||||
\(427\) | −667.034 | − | 3782.94i | −0.0755973 | − | 0.428733i | ||||
\(428\) | 3516.45 | + | 1279.88i | 0.397136 | + | 0.144546i | ||||
\(429\) | −572.454 | − | 208.356i | −0.0644251 | − | 0.0234488i | ||||
\(430\) | 4412.71 | − | 7643.04i | 0.494884 | − | 0.857164i | ||||
\(431\) | −2125.61 | + | 12054.9i | −0.237557 | + | 1.34725i | 0.599605 | + | 0.800296i | \(0.295324\pi\) |
−0.837162 | + | 0.546956i | \(0.815787\pi\) | |||||||
\(432\) | 1786.87 | − | 1499.36i | 0.199006 | − | 0.166986i | ||||
\(433\) | 4829.26 | + | 8364.52i | 0.535980 | + | 0.928344i | 0.999115 | + | 0.0420566i | \(0.0133910\pi\) |
−0.463136 | + | 0.886287i | \(0.653276\pi\) | |||||||
\(434\) | −292.385 | + | 506.426i | −0.0323385 | + | 0.0560120i | ||||
\(435\) | 890.130 | + | 5048.18i | 0.0981114 | + | 0.556417i | ||||
\(436\) | −3425.70 | − | 5933.49i | −0.376287 | − | 0.651749i | ||||
\(437\) | −5529.23 | + | 2012.48i | −0.605261 | + | 0.220297i | ||||
\(438\) | 6926.27 | 0.755593 | ||||||||
\(439\) | 3272.24 | − | 1191.00i | 0.355752 | − | 0.129483i | −0.157961 | − | 0.987445i | \(-0.550492\pi\) |
0.513713 | + | 0.857962i | \(0.328270\pi\) | |||||||
\(440\) | −459.417 | + | 2605.48i | −0.0497769 | + | 0.282299i | ||||
\(441\) | 2069.12 | + | 1736.20i | 0.223423 | + | 0.187474i | ||||
\(442\) | −276.717 | + | 232.193i | −0.0297785 | + | 0.0249871i | ||||
\(443\) | −4421.22 | −0.474173 | −0.237087 | − | 0.971489i | \(-0.576192\pi\) | ||||
−0.237087 | + | 0.971489i | \(0.576192\pi\) | |||||||
\(444\) | 1054.29 | + | 2950.73i | 0.112690 | + | 0.315395i | ||||
\(445\) | −22447.5 | −2.39127 | ||||||||
\(446\) | 7694.32 | − | 6456.30i | 0.816898 | − | 0.685459i | ||||
\(447\) | 1252.69 | + | 1051.13i | 0.132551 | + | 0.111223i | ||||
\(448\) | 141.252 | − | 801.078i | 0.0148962 | − | 0.0844808i | ||||
\(449\) | −8182.81 | + | 2978.30i | −0.860069 | + | 0.313039i | −0.734138 | − | 0.679000i | \(-0.762414\pi\) |
−0.125930 | + | 0.992039i | \(0.540191\pi\) | |||||||
\(450\) | −7018.00 | −0.735181 | ||||||||
\(451\) | −5205.47 | + | 1894.64i | −0.543494 | + | 0.197816i | ||||
\(452\) | −3097.18 | − | 5364.48i | −0.322299 | − | 0.558239i | ||||
\(453\) | −115.448 | − | 654.736i | −0.0119740 | − | 0.0679077i | ||||
\(454\) | 2362.21 | − | 4091.46i | 0.244194 | − | 0.422956i | ||||
\(455\) | −1213.26 | − | 2101.43i | −0.125008 | − | 0.216520i | ||||
\(456\) | 3161.87 | − | 2653.12i | 0.324710 | − | 0.272464i | ||||
\(457\) | 1404.11 | − | 7963.12i | 0.143724 | − | 0.815097i | −0.824660 | − | 0.565629i | \(-0.808633\pi\) |
0.968383 | − | 0.249468i | \(-0.0802556\pi\) | |||||||
\(458\) | 890.253 | − | 1541.96i | 0.0908271 | − | 0.157317i | ||||
\(459\) | 2461.56 | + | 895.933i | 0.250317 | + | 0.0911080i | ||||
\(460\) | 2833.85 | + | 1031.44i | 0.287237 | + | 0.104546i | ||||
\(461\) | 1099.03 | + | 6232.92i | 0.111035 | + | 0.629709i | 0.988637 | + | 0.150320i | \(0.0480305\pi\) |
−0.877603 | + | 0.479389i | \(0.840858\pi\) | |||||||
\(462\) | 1180.15 | + | 990.261i | 0.118843 | + | 0.0997210i | ||||
\(463\) | −5043.72 | − | 4232.18i | −0.506266 | − | 0.424808i | 0.353547 | − | 0.935417i | \(-0.384976\pi\) |
−0.859813 | + | 0.510609i | \(0.829420\pi\) | |||||||
\(464\) | −215.438 | − | 1221.81i | −0.0215548 | − | 0.122244i | ||||
\(465\) | 1429.06 | + | 520.134i | 0.142518 | + | 0.0518723i | ||||
\(466\) | −9413.87 | − | 3426.37i | −0.935813 | − | 0.340608i | ||||
\(467\) | 3039.96 | − | 5265.37i | 0.301226 | − | 0.521739i | −0.675188 | − | 0.737646i | \(-0.735937\pi\) |
0.976414 | + | 0.215907i | \(0.0692708\pi\) | |||||||
\(468\) | −103.928 | + | 589.406i | −0.0102651 | + | 0.0582165i | ||||
\(469\) | 7814.74 | − | 6557.35i | 0.769406 | − | 0.645608i | ||||
\(470\) | 7993.65 | + | 13845.4i | 0.784510 | + | 1.35881i | ||||
\(471\) | −1888.51 | + | 3270.99i | −0.184751 | + | 0.319999i | ||||
\(472\) | 903.098 | + | 5121.72i | 0.0880688 | + | 0.499463i | ||||
\(473\) | −2022.71 | − | 3503.43i | −0.196626 | − | 0.340566i | ||||
\(474\) | −4864.62 | + | 1770.58i | −0.471392 | + | 0.171573i | ||||
\(475\) | −34943.7 | −3.37543 | ||||||||
\(476\) | 858.411 | − | 312.436i | 0.0826580 | − | 0.0300850i | ||||
\(477\) | 1095.50 | − | 6212.89i | 0.105156 | − | 0.596370i | ||||
\(478\) | 734.737 | + | 616.518i | 0.0703056 | + | 0.0589934i | ||||
\(479\) | 7978.12 | − | 6694.44i | 0.761022 | − | 0.638573i | −0.177371 | − | 0.984144i | \(-0.556759\pi\) |
0.938393 | + | 0.345571i | \(0.112315\pi\) | |||||||
\(480\) | −2115.44 | −0.201159 | ||||||||
\(481\) | −1952.49 | − | 1142.70i | −0.185085 | − | 0.108321i | ||||
\(482\) | −12434.0 | −1.17501 | ||||||||
\(483\) | 1345.21 | − | 1128.77i | 0.126727 | − | 0.106337i | ||||
\(484\) | −3149.42 | − | 2642.67i | −0.295775 | − | 0.248185i | ||||
\(485\) | −6021.43 | + | 34149.2i | −0.563750 | + | 3.19719i | ||||
\(486\) | 6707.43 | − | 2441.30i | 0.626039 | − | 0.227860i | ||||
\(487\) | 6740.61 | 0.627199 | 0.313600 | − | 0.949555i | \(-0.398465\pi\) | ||||
0.313600 | + | 0.949555i | \(0.398465\pi\) | |||||||
\(488\) | 2272.01 | − | 826.943i | 0.210756 | − | 0.0767090i | ||||
\(489\) | 6613.75 | + | 11455.4i | 0.611624 | + | 1.05936i | ||||
\(490\) | −1196.93 | − | 6788.14i | −0.110351 | − | 0.625831i | ||||
\(491\) | 1524.45 | − | 2640.43i | 0.140117 | − | 0.242690i | −0.787423 | − | 0.616413i | \(-0.788585\pi\) |
0.927541 | + | 0.373722i | \(0.121919\pi\) | |||||||
\(492\) | −2214.67 | − | 3835.92i | −0.202937 | − | 0.351497i | ||||
\(493\) | 1067.31 | − | 895.581i | 0.0975037 | − | 0.0818153i | ||||
\(494\) | −517.475 | + | 2934.75i | −0.0471302 | + | 0.267288i | ||||
\(495\) | −2461.35 | + | 4263.18i | −0.223494 | + | 0.387103i | ||||
\(496\) | −345.874 | − | 125.888i | −0.0313108 | − | 0.0113962i | ||||
\(497\) | 3651.34 | + | 1328.98i | 0.329548 | + | 0.119946i | ||||
\(498\) | 523.914 | + | 2971.26i | 0.0471429 | + | 0.267361i | ||||
\(499\) | −4406.79 | − | 3697.74i | −0.395341 | − | 0.331731i | 0.423348 | − | 0.905967i | \(-0.360855\pi\) |
−0.818690 | + | 0.574236i | \(0.805299\pi\) | |||||||
\(500\) | 6444.64 | + | 5407.70i | 0.576426 | + | 0.483679i | ||||
\(501\) | 622.246 | + | 3528.93i | 0.0554888 | + | 0.314693i | ||||
\(502\) | 5920.70 | + | 2154.96i | 0.526402 | + | 0.191595i | ||||
\(503\) | −1959.32 | − | 713.135i | −0.173682 | − | 0.0632150i | 0.253716 | − | 0.967279i | \(-0.418347\pi\) |
−0.427397 | + | 0.904064i | \(0.640569\pi\) | |||||||
\(504\) | 756.764 | − | 1310.75i | 0.0668828 | − | 0.115844i | ||||
\(505\) | 5851.85 | − | 33187.5i | 0.515651 | − | 2.92440i | ||||
\(506\) | 1058.94 | − | 888.557i | 0.0930350 | − | 0.0780656i | ||||
\(507\) | −3647.62 | − | 6317.87i | −0.319520 | − | 0.553425i | ||||
\(508\) | −2831.88 | + | 4904.96i | −0.247332 | + | 0.428391i | ||||
\(509\) | −2628.91 | − | 14909.3i | −0.228928 | − | 1.29832i | −0.855031 | − | 0.518577i | \(-0.826462\pi\) |
0.626103 | − | 0.779741i | \(-0.284649\pi\) | |||||||
\(510\) | −1187.84 | − | 2057.40i | −0.103134 | − | 0.178633i | ||||
\(511\) | 11883.4 | − | 4325.21i | 1.02875 | − | 0.374435i | ||||
\(512\) | 512.000 | 0.0441942 | ||||||||
\(513\) | 20307.0 | − | 7391.16i | 1.74771 | − | 0.636116i | ||||
\(514\) | −979.791 | + | 5556.67i | −0.0840793 | + | 0.476837i | ||||
\(515\) | 19608.2 | + | 16453.2i | 1.67775 | + | 1.40780i | ||||
\(516\) | 2477.89 | − | 2079.19i | 0.211401 | − | 0.177386i | ||||
\(517\) | 7328.28 | 0.623399 | ||||||||
\(518\) | 3651.48 | + | 4404.22i | 0.309724 | + | 0.373572i | ||||
\(519\) | −6484.55 | −0.548439 | ||||||||
\(520\) | 1170.00 | − | 981.745i | 0.0986689 | − | 0.0827930i | ||||
\(521\) | 16199.1 | + | 13592.7i | 1.36218 | + | 1.14300i | 0.975303 | + | 0.220873i | \(0.0708906\pi\) |
0.386877 | + | 0.922131i | \(0.373554\pi\) | |||||||
\(522\) | 400.856 | − | 2273.37i | 0.0336111 | − | 0.190618i | ||||
\(523\) | 19696.8 | − | 7169.07i | 1.64681 | − | 0.599391i | 0.658602 | − | 0.752491i | \(-0.271148\pi\) |
0.988211 | + | 0.153101i | \(0.0489259\pi\) | |||||||
\(524\) | 2465.49 | 0.205545 | ||||||||
\(525\) | 9799.69 | − | 3566.80i | 0.814655 | − | 0.296510i | ||||
\(526\) | 4396.42 | + | 7614.82i | 0.364435 | + | 0.631221i | ||||
\(527\) | −71.7774 | − | 407.070i | −0.00593296 | − | 0.0336475i | ||||
\(528\) | −484.840 | + | 839.768i | −0.0399620 | + | 0.0692163i | ||||
\(529\) | 5295.65 | + | 9172.34i | 0.435247 | + | 0.753870i | ||||
\(530\) | −12332.9 | + | 10348.5i | −1.01077 | + | 0.848133i | ||||
\(531\) | −1680.36 | + | 9529.79i | −0.137328 | + | 0.778828i | ||||
\(532\) | 3768.05 | − | 6526.45i | 0.307078 | − | 0.531875i | ||||
\(533\) | 3005.07 | + | 1093.76i | 0.244210 | + | 0.0888852i | ||||
\(534\) | −7731.19 | − | 2813.92i | −0.626519 | − | 0.228034i | ||||
\(535\) | −3085.49 | − | 17498.7i | −0.249341 | − | 1.41408i | ||||
\(536\) | 4918.82 | + | 4127.38i | 0.396382 | + | 0.332604i | ||||
\(537\) | −3669.31 | − | 3078.91i | −0.294865 | − | 0.247421i | ||||
\(538\) | 1686.31 | + | 9563.53i | 0.135134 | + | 0.766381i | ||||
\(539\) | −2969.01 | − | 1080.63i | −0.237262 | − | 0.0863565i | ||||
\(540\) | −10407.8 | − | 3788.13i | −0.829408 | − | 0.301880i | ||||
\(541\) | 1040.09 | − | 1801.49i | 0.0826561 | − | 0.143165i | −0.821734 | − | 0.569871i | \(-0.806993\pi\) |
0.904390 | + | 0.426707i | \(0.140326\pi\) | |||||||
\(542\) | −2125.64 | + | 12055.1i | −0.168458 | + | 0.955372i | ||||
\(543\) | 7021.02 | − | 5891.34i | 0.554882 | − | 0.465601i | ||||
\(544\) | 287.492 | + | 497.951i | 0.0226583 | + | 0.0392453i | ||||
\(545\) | −16266.1 | + | 28173.8i | −1.27847 | + | 2.21437i | ||||
\(546\) | −154.435 | − | 875.847i | −0.0121048 | − | 0.0686498i | ||||
\(547\) | −9016.18 | − | 15616.5i | −0.704761 | − | 1.22068i | −0.966778 | − | 0.255618i | \(-0.917721\pi\) |
0.262017 | − | 0.965063i | \(-0.415612\pi\) | |||||||
\(548\) | −4472.58 | + | 1627.88i | −0.348648 | + | 0.126897i | ||||
\(549\) | 4498.74 | 0.349730 | ||||||||
\(550\) | 7714.25 | − | 2807.76i | 0.598067 | − | 0.217679i | ||||
\(551\) | 1995.93 | − | 11319.5i | 0.154318 | − | 0.875182i | ||||
\(552\) | 846.714 | + | 710.478i | 0.0652872 | + | 0.0547825i | ||||
\(553\) | −7240.60 | + | 6075.58i | −0.556784 | + | 0.467197i | ||||
\(554\) | 6076.94 | 0.466037 | ||||||||
\(555\) | 9630.74 | − | 11340.8i | 0.736580 | − | 0.867369i | ||||
\(556\) | −3499.59 | −0.266935 | ||||||||
\(557\) | 10186.8 | − | 8547.78i | 0.774920 | − | 0.650235i | −0.167044 | − | 0.985949i | \(-0.553422\pi\) |
0.941964 | + | 0.335714i | \(0.108978\pi\) | |||||||
\(558\) | −524.629 | − | 440.216i | −0.0398017 | − | 0.0333976i | ||||
\(559\) | −405.534 | + | 2299.90i | −0.0306838 | + | 0.174017i | ||||
\(560\) | −3629.48 | + | 1321.02i | −0.273881 | + | 0.0996846i | ||||
\(561\) | −1088.97 | −0.0819540 | ||||||||
\(562\) | 6952.56 | − | 2530.53i | 0.521844 | − | 0.189936i | ||||
\(563\) | −11849.9 | − | 20524.7i | −0.887061 | − | 1.53644i | −0.843333 | − | 0.537392i | \(-0.819410\pi\) |
−0.0437283 | − | 0.999043i | \(-0.513924\pi\) | |||||||
\(564\) | 1017.51 | + | 5770.57i | 0.0759659 | + | 0.430824i | ||||
\(565\) | −14706.2 | + | 25472.0i | −1.09504 | + | 1.89666i | ||||
\(566\) | −6058.35 | − | 10493.4i | −0.449914 | − | 0.779274i | ||||
\(567\) | −1027.44 | + | 862.126i | −0.0760997 | + | 0.0638552i | ||||
\(568\) | −424.701 | + | 2408.60i | −0.0313734 | + | 0.177927i | ||||
\(569\) | 3974.71 | − | 6884.40i | 0.292845 | − | 0.507222i | −0.681637 | − | 0.731691i | \(-0.738731\pi\) |
0.974481 | + | 0.224469i | \(0.0720648\pi\) | |||||||
\(570\) | −18416.6 | − | 6703.10i | −1.35331 | − | 0.492565i | ||||
\(571\) | −1360.30 | − | 495.108i | −0.0996965 | − | 0.0362866i | 0.291690 | − | 0.956513i | \(-0.405782\pi\) |
−0.391387 | + | 0.920226i | \(0.628005\pi\) | |||||||
\(572\) | −121.571 | − | 689.461i | −0.00888657 | − | 0.0503983i | ||||
\(573\) | −592.629 | − | 497.275i | −0.0432067 | − | 0.0362547i | ||||
\(574\) | −6195.12 | − | 5198.32i | −0.450487 | − | 0.378003i | ||||
\(575\) | −1624.92 | − | 9215.40i | −0.117850 | − | 0.668363i | ||||
\(576\) | 895.205 | + | 325.828i | 0.0647573 | + | 0.0235697i | ||||
\(577\) | −366.031 | − | 133.224i | −0.0264092 | − | 0.00961214i | 0.328782 | − | 0.944406i | \(-0.393362\pi\) |
−0.355191 | + | 0.934794i | \(0.615584\pi\) | |||||||
\(578\) | 4590.14 | − | 7950.36i | 0.330320 | − | 0.572130i | ||||
\(579\) | 466.902 | − | 2647.93i | 0.0335126 | − | 0.190059i | ||||
\(580\) | −4512.74 | + | 3786.64i | −0.323071 | + | 0.271089i | ||||
\(581\) | 2754.33 | + | 4770.65i | 0.196677 | + | 0.340654i | ||||
\(582\) | −6354.64 | + | 11006.6i | −0.452592 | + | 0.783912i | ||||
\(583\) | 1281.47 | + | 7267.56i | 0.0910341 | + | 0.516280i | ||||
\(584\) | 3979.90 | + | 6893.39i | 0.282003 | + | 0.488443i | ||||
\(585\) | 2670.45 | − | 971.963i | 0.188734 | − | 0.0686936i | ||||
\(586\) | 1659.02 | 0.116951 | ||||||||
\(587\) | −17925.2 | + | 6524.25i | −1.26040 | + | 0.458747i | −0.883902 | − | 0.467672i | \(-0.845093\pi\) |
−0.376495 | + | 0.926419i | \(0.622871\pi\) | |||||||
\(588\) | 438.694 | − | 2487.96i | 0.0307677 | − | 0.174493i | ||||
\(589\) | −2612.21 | − | 2191.90i | −0.182741 | − | 0.153338i | ||||
\(590\) | 18917.1 | − | 15873.3i | 1.32001 | − | 1.10762i | ||||
\(591\) | 8321.29 | 0.579174 | ||||||||
\(592\) | −2330.92 | + | 2744.81i | −0.161825 | + | 0.190559i | ||||
\(593\) | −848.528 | −0.0587604 | −0.0293802 | − | 0.999568i | \(-0.509353\pi\) | ||||
−0.0293802 | + | 0.999568i | \(0.509353\pi\) | |||||||
\(594\) | −3889.14 | + | 3263.38i | −0.268642 | + | 0.225418i | ||||
\(595\) | −3322.75 | − | 2788.12i | −0.228941 | − | 0.192104i | ||||
\(596\) | −326.334 | + | 1850.73i | −0.0224281 | + | 0.127196i | ||||
\(597\) | 10403.4 | − | 3786.52i | 0.713202 | − | 0.259584i | ||||
\(598\) | −798.018 | −0.0545709 | ||||||||
\(599\) | 8998.57 | − | 3275.21i | 0.613809 | − | 0.223408i | −0.0163601 | − | 0.999866i | \(-0.505208\pi\) |
0.630169 | + | 0.776458i | \(0.282986\pi\) | |||||||
\(600\) | 3282.03 | + | 5684.65i | 0.223314 | + | 0.386791i | ||||
\(601\) | −2424.80 | − | 13751.7i | −0.164575 | − | 0.933353i | −0.949501 | − | 0.313763i | \(-0.898410\pi\) |
0.784926 | − | 0.619590i | \(-0.212701\pi\) | |||||||
\(602\) | 2952.94 | − | 5114.64i | 0.199922 | − | 0.346274i | ||||
\(603\) | 5973.71 | + | 10346.8i | 0.403430 | + | 0.698761i | ||||
\(604\) | 585.291 | − | 491.118i | 0.0394291 | − | 0.0330849i | ||||
\(605\) | −3389.86 | + | 19224.8i | −0.227797 | + | 1.29190i | ||||
\(606\) | 6175.68 | − | 10696.6i | 0.413977 | − | 0.717029i | ||||
\(607\) | 14658.5 | + | 5335.27i | 0.980184 | + | 0.356758i | 0.781912 | − | 0.623389i | \(-0.214245\pi\) |
0.198272 | + | 0.980147i | \(0.436467\pi\) | |||||||
\(608\) | 4457.37 | + | 1622.35i | 0.297319 | + | 0.108215i | ||||
\(609\) | 595.665 | + | 3378.18i | 0.0396348 | + | 0.224780i | ||||
\(610\) | −8794.54 | − | 7379.49i | −0.583738 | − | 0.489815i | ||||
\(611\) | −3240.79 | − | 2719.34i | −0.214580 | − | 0.180054i | ||||
\(612\) | 185.777 | + | 1053.60i | 0.0122706 | + | 0.0695900i | ||||
\(613\) | −13752.5 | − | 5005.50i | −0.906130 | − | 0.329804i | −0.153423 | − | 0.988161i | \(-0.549030\pi\) |
−0.752706 | + | 0.658356i | \(0.771252\pi\) | |||||||
\(614\) | 2650.86 | + | 964.835i | 0.174235 | + | 0.0634163i | ||||
\(615\) | −10515.8 | + | 18214.0i | −0.689495 | + | 1.19424i | ||||
\(616\) | −307.437 | + | 1743.56i | −0.0201087 | + | 0.114042i | ||||
\(617\) | 17420.4 | − | 14617.5i | 1.13666 | − | 0.953772i | 0.137337 | − | 0.990524i | \(-0.456146\pi\) |
0.999324 | + | 0.0367525i | \(0.0117013\pi\) | |||||||
\(618\) | 4690.78 | + | 8124.67i | 0.305325 | + | 0.528838i | ||||
\(619\) | 6336.44 | − | 10975.0i | 0.411443 | − | 0.712640i | −0.583605 | − | 0.812038i | \(-0.698358\pi\) |
0.995048 | + | 0.0993977i | \(0.0316916\pi\) | |||||||
\(620\) | 303.485 | + | 1721.15i | 0.0196584 | + | 0.111489i | ||||
\(621\) | 2893.51 | + | 5011.70i | 0.186976 | + | 0.323853i | ||||
\(622\) | 1948.86 | − | 709.327i | 0.125631 | − | 0.0457258i | ||||
\(623\) | −15021.6 | −0.966018 | ||||||||
\(624\) | 526.028 | − | 191.459i | 0.0337468 | − | 0.0122828i | ||||
\(625\) | 1819.76 | − | 10320.3i | 0.116464 | − | 0.660502i | ||||
\(626\) | 1482.46 | + | 1243.94i | 0.0946505 | + | 0.0794212i | ||||
\(627\) | −6881.85 | + | 5774.56i | −0.438333 | + | 0.367805i | ||||
\(628\) | −4340.63 | −0.275812 | ||||||||
\(629\) | −3978.32 | − | 725.732i | −0.252188 | − | 0.0460045i | ||||
\(630\) | −7186.63 | −0.454480 | ||||||||
\(631\) | −14222.5 | + | 11934.1i | −0.897286 | + | 0.752912i | −0.969658 | − | 0.244466i | \(-0.921387\pi\) |
0.0723723 | + | 0.997378i | \(0.476943\pi\) | |||||||
\(632\) | −4557.44 | − | 3824.14i | −0.286844 | − | 0.240690i | ||||
\(633\) | −929.124 | + | 5269.32i | −0.0583402 | + | 0.330864i | ||||
\(634\) | −3392.91 | + | 1234.92i | −0.212539 | + | 0.0773578i | ||||
\(635\) | 26893.1 | 1.68066 | ||||||||
\(636\) | −5544.82 | + | 2018.15i | −0.345702 | + | 0.125825i | ||||
\(637\) | 911.992 | + | 1579.62i | 0.0567260 | + | 0.0982523i | ||||
\(638\) | 468.904 | + | 2659.28i | 0.0290973 | + | 0.165019i | ||||
\(639\) | −2275.36 | + | 3941.04i | −0.140864 | + | 0.243983i | ||||
\(640\) | −1215.56 | − | 2105.40i | −0.0750767 | − | 0.130037i | ||||
\(641\) | −4359.84 | + | 3658.34i | −0.268648 | + | 0.225422i | −0.767153 | − | 0.641465i | \(-0.778327\pi\) |
0.498505 | + | 0.866887i | \(0.333883\pi\) | |||||||
\(642\) | 1130.88 | − | 6413.53i | 0.0695206 | − | 0.394271i | ||||
\(643\) | −3711.11 | + | 6427.83i | −0.227608 | + | 0.394229i | −0.957099 | − | 0.289762i | \(-0.906424\pi\) |
0.729491 | + | 0.683991i | \(0.239757\pi\) | |||||||
\(644\) | 1896.38 | + | 690.226i | 0.116037 | + | 0.0422340i | ||||
\(645\) | −14432.7 | − | 5253.08i | −0.881067 | − | 0.320682i | ||||
\(646\) | 925.015 | + | 5246.02i | 0.0563378 | + | 0.319508i | ||||
\(647\) | −24605.0 | − | 20646.0i | −1.49509 | − | 1.25453i | −0.887957 | − | 0.459926i | \(-0.847876\pi\) |
−0.607131 | − | 0.794602i | \(-0.707680\pi\) | |||||||
\(648\) | −646.701 | − | 542.647i | −0.0392050 | − | 0.0328969i | ||||
\(649\) | −1965.61 | − | 11147.5i | −0.118886 | − | 0.674234i | ||||
\(650\) | −4453.37 | − | 1620.89i | −0.268732 | − | 0.0978103i | ||||
\(651\) | 956.308 | + | 348.068i | 0.0575740 | + | 0.0209552i | ||||
\(652\) | −7600.66 | + | 13164.7i | −0.456541 | + | 0.790752i | ||||
\(653\) | −3222.59 | + | 18276.2i | −0.193124 | + | 1.09526i | 0.721942 | + | 0.691954i | \(0.243250\pi\) |
−0.915066 | + | 0.403305i | \(0.867861\pi\) | |||||||
\(654\) | −9133.98 | + | 7664.32i | −0.546127 | + | 0.458255i | ||||
\(655\) | −5853.40 | − | 10138.4i | −0.349178 | − | 0.604794i | ||||
\(656\) | 2545.14 | − | 4408.32i | 0.151480 | − | 0.262372i | ||||
\(657\) | 2571.81 | + | 14585.5i | 0.152718 | + | 0.866109i | ||||
\(658\) | 5349.26 | + | 9265.19i | 0.316924 | + | 0.548928i | ||||
\(659\) | 22733.4 | − | 8274.29i | 1.34381 | − | 0.489106i | 0.432797 | − | 0.901491i | \(-0.357527\pi\) |
0.911009 | + | 0.412386i | \(0.135304\pi\) | |||||||
\(660\) | 4604.30 | 0.271549 | ||||||||
\(661\) | 28986.9 | − | 10550.4i | 1.70569 | − | 0.620820i | 0.709237 | − | 0.704970i | \(-0.249040\pi\) |
0.996453 | + | 0.0841502i | \(0.0268175\pi\) | |||||||
\(662\) | −2185.48 | + | 12394.5i | −0.128310 | + | 0.727682i | ||||
\(663\) | 481.574 | + | 404.088i | 0.0282093 | + | 0.0236704i | ||||
\(664\) | −2656.12 | + | 2228.75i | −0.155237 | + | 0.130259i | ||||
\(665\) | −35783.4 | −2.08665 | ||||||||
\(666\) | −5822.25 | + | 3315.79i | −0.338750 | + | 0.192919i | ||||
\(667\) | 3077.99 | 0.178681 | ||||||||
\(668\) | −3154.63 | + | 2647.05i | −0.182719 | + | 0.153320i | ||||
\(669\) | −13390.5 | − | 11236.0i | −0.773852 | − | 0.649339i | ||||
\(670\) | 5294.34 | − | 30025.7i | 0.305281 | − | 1.73134i | ||||
\(671\) | −4945.06 | + | 1799.86i | −0.284504 | + | 0.103551i | ||||
\(672\) | −1415.63 | −0.0812637 | ||||||||
\(673\) | −15056.9 | + | 5480.25i | −0.862406 | + | 0.313890i | −0.735088 | − | 0.677972i | \(-0.762859\pi\) |
−0.127318 | + | 0.991862i | \(0.540637\pi\) | |||||||
\(674\) | 5091.45 | + | 8818.64i | 0.290972 | + | 0.503978i | ||||
\(675\) | 5967.81 | + | 33845.1i | 0.340298 | + | 1.92992i | ||||
\(676\) | 4191.92 | − | 7260.62i | 0.238503 | − | 0.413098i | ||||
\(677\) | −9986.35 | − | 17296.9i | −0.566923 | − | 0.981939i | −0.996868 | − | 0.0790839i | \(-0.974801\pi\) |
0.429945 | − | 0.902855i | \(-0.358533\pi\) | |||||||
\(678\) | −8258.05 | + | 6929.33i | −0.467771 | + | 0.392506i | ||||
\(679\) | −4029.47 | + | 22852.3i | −0.227742 | + | 1.29159i | ||||
\(680\) | 1365.09 | − | 2364.40i | 0.0769834 | − | 0.133339i | ||||
\(681\) | −7726.11 | − | 2812.07i | −0.434750 | − | 0.158236i | ||||
\(682\) | 752.799 | + | 273.996i | 0.0422671 | + | 0.0153840i | ||||
\(683\) | −1722.82 | − | 9770.61i | −0.0965182 | − | 0.547382i | −0.994272 | − | 0.106884i | \(-0.965913\pi\) |
0.897753 | − | 0.440499i | \(-0.145198\pi\) | |||||||
\(684\) | 6761.04 | + | 5673.19i | 0.377946 | + | 0.317134i | ||||
\(685\) | 17312.5 | + | 14526.9i | 0.965661 | + | 0.810286i | ||||
\(686\) | −2315.02 | − | 13129.1i | −0.128845 | − | 0.730717i | ||||
\(687\) | −2911.76 | − | 1059.80i | −0.161704 | − | 0.0588555i | ||||
\(688\) | 3493.15 | + | 1271.40i | 0.193568 | + | 0.0704531i | ||||
\(689\) | 2130.11 | − | 3689.45i | 0.117780 | − | 0.204002i | ||||
\(690\) | 911.356 | − | 5168.56i | 0.0502822 | − | 0.285165i | ||||
\(691\) | 17860.6 | − | 14986.8i | 0.983286 | − | 0.825075i | −0.00129623 | − | 0.999999i | \(-0.500413\pi\) |
0.984582 | + | 0.174925i | \(0.0559682\pi\) | |||||||
\(692\) | −3726.09 | − | 6453.77i | −0.204689 | − | 0.354531i | ||||
\(693\) | −1647.11 | + | 2852.88i | −0.0902864 | + | 0.156381i | ||||
\(694\) | 725.768 | + | 4116.04i | 0.0396971 | + | 0.225134i | ||||
\(695\) | 8308.49 | + | 14390.7i | 0.453466 | + | 0.785426i | ||||
\(696\) | −2028.92 | + | 738.465i | −0.110497 | + | 0.0402176i | ||||
\(697\) | 5716.47 | 0.310655 | ||||||||
\(698\) | −9201.52 | + | 3349.08i | −0.498972 | + | 0.181611i | ||||
\(699\) | −3027.47 | + | 17169.6i | −0.163819 | + | 0.929062i | ||||
\(700\) | 9180.87 | + | 7703.67i | 0.495720 | + | 0.415959i | ||||
\(701\) | −6752.34 | + | 5665.89i | −0.363812 | + | 0.305275i | −0.806308 | − | 0.591496i | \(-0.798538\pi\) |
0.442496 | + | 0.896771i | \(0.354093\pi\) | |||||||
\(702\) | 2930.86 | 0.157576 | ||||||||
\(703\) | −28989.9 | + | 16509.9i | −1.55530 | + | 0.885748i | ||||
\(704\) | −1114.38 | −0.0596586 | ||||||||
\(705\) | 21313.5 | − | 17884.2i | 1.13860 | − | 0.955401i | ||||
\(706\) | −9506.90 | − | 7977.24i | −0.506795 | − | 0.425251i | ||||
\(707\) | 3915.99 | − | 22208.7i | 0.208311 | − | 1.18139i | ||||
\(708\) | 8505.06 | − | 3095.59i | 0.451468 | − | 0.164321i | ||||
\(709\) | 2781.12 | 0.147316 | 0.0736580 | − | 0.997284i | \(-0.476533\pi\) | ||||
0.0736580 | + | 0.997284i | \(0.476533\pi\) | |||||||
\(710\) | 10912.7 | − | 3971.91i | 0.576828 | − | 0.209948i | ||||
\(711\) | −5534.82 | − | 9586.59i | −0.291944 | − | 0.505662i | ||||
\(712\) | −1641.85 | − | 9311.41i | −0.0864200 | − | 0.490112i | ||||
\(713\) | 456.581 | − | 790.821i | 0.0239819 | − | 0.0415379i | ||||
\(714\) | −794.888 | − | 1376.79i | −0.0416638 | − | 0.0721638i | ||||
\(715\) | −2546.52 | + | 2136.78i | −0.133195 | + | 0.111764i | ||||
\(716\) | 955.880 | − | 5421.07i | 0.0498923 | − | 0.282954i | ||||
\(717\) | 834.593 | − | 1445.56i | 0.0434706 | − | 0.0752933i | ||||
\(718\) | −21432.2 | − | 7800.69i | −1.11399 | − | 0.405458i | ||||
\(719\) | −7257.99 | − | 2641.69i | −0.376463 | − | 0.137021i | 0.146856 | − | 0.989158i | \(-0.453084\pi\) |
−0.523320 | + | 0.852136i | \(0.675307\pi\) | |||||||
\(720\) | −785.492 | − | 4454.75i | −0.0406577 | − | 0.230582i | ||||
\(721\) | 13121.6 | + | 11010.3i | 0.677771 | + | 0.568717i | ||||
\(722\) | 23155.7 | + | 19429.9i | 1.19358 | + | 1.00153i | ||||
\(723\) | 3757.57 | + | 21310.3i | 0.193286 | + | 1.09618i | ||||
\(724\) | 9897.72 | + | 3602.48i | 0.508075 | + | 0.184924i | ||||
\(725\) | 17176.9 | + | 6251.87i | 0.879907 | + | 0.320260i | ||||
\(726\) | −3577.44 | + | 6196.32i | −0.182881 | + | 0.316759i | ||||
\(727\) | −86.9933 | + | 493.364i | −0.00443797 | + | 0.0251690i | −0.986946 | − | 0.161050i | \(-0.948512\pi\) |
0.982508 | + | 0.186218i | \(0.0596232\pi\) | |||||||
\(728\) | 782.950 | − | 656.973i | 0.0398600 | − | 0.0334465i | ||||
\(729\) | −7635.68 | − | 13225.4i | −0.387933 | − | 0.671919i | ||||
\(730\) | 18897.6 | − | 32731.7i | 0.958127 | − | 1.65952i | ||||
\(731\) | 724.915 | + | 4111.19i | 0.0366784 | + | 0.208014i | ||||
\(732\) | −2103.88 | − | 3644.03i | −0.106232 | − | 0.183999i | ||||
\(733\) | −27146.1 | + | 9880.36i | −1.36789 | + | 0.497871i | −0.918484 | − | 0.395457i | \(-0.870586\pi\) |
−0.449405 | + | 0.893328i | \(0.648364\pi\) | |||||||
\(734\) | 26267.0 | 1.32089 | ||||||||
\(735\) | −11272.3 | + | 4102.78i | −0.565693 | + | 0.205896i | ||||
\(736\) | −220.575 | + | 1250.94i | −0.0110469 | + | 0.0626500i | ||||
\(737\) | −10705.9 | − | 8983.31i | −0.535083 | − | 0.448988i | ||||
\(738\) | 7255.43 | − | 6088.03i | 0.361892 | − | 0.303663i | ||||
\(739\) | 30922.7 | 1.53925 | 0.769627 | − | 0.638494i | \(-0.220442\pi\) | ||||
0.769627 | + | 0.638494i | \(0.220442\pi\) | |||||||
\(740\) | 16820.9 | + | 3068.49i | 0.835606 | + | 0.152433i | ||||
\(741\) | 5186.16 | 0.257110 | ||||||||
\(742\) | −8253.02 | + | 6925.10i | −0.408326 | + | 0.342626i | ||||
\(743\) | 5372.34 | + | 4507.93i | 0.265265 | + | 0.222584i | 0.765712 | − | 0.643183i | \(-0.222387\pi\) |
−0.500447 | + | 0.865767i | \(0.666831\pi\) | |||||||
\(744\) | −111.232 | + | 630.826i | −0.00548112 | + | 0.0310850i | ||||
\(745\) | 8385.19 | − | 3051.96i | 0.412362 | − | 0.150087i | ||||
\(746\) | 16331.3 | 0.801518 | ||||||||
\(747\) | −6062.42 | + | 2206.54i | −0.296937 | + | 0.108076i | ||||
\(748\) | −625.731 | − | 1083.80i | −0.0305869 | − | 0.0529780i | ||||
\(749\) | −2064.77 | − | 11709.9i | −0.100728 | − | 0.571257i | ||||
\(750\) | 7320.51 | − | 12679.5i | 0.356410 | − | 0.617320i | ||||
\(751\) | −4575.84 | − | 7925.59i | −0.222337 | − | 0.385099i | 0.733180 | − | 0.680034i | \(-0.238035\pi\) |
−0.955517 | + | 0.294936i | \(0.904702\pi\) | |||||||
\(752\) | −5158.51 | + | 4328.50i | −0.250148 | + | 0.209899i | ||||
\(753\) | 1904.08 | − | 10798.6i | 0.0921493 | − | 0.522604i | ||||
\(754\) | 779.432 | − | 1350.01i | 0.0376462 | − | 0.0652051i | ||||
\(755\) | −3409.09 | − | 1240.81i | −0.164331 | − | 0.0598114i | ||||
\(756\) | −6964.78 | − | 2534.97i | −0.335062 | − | 0.121952i | ||||
\(757\) | −1343.03 | − | 7616.69i | −0.0644824 | − | 0.365698i | −0.999925 | − | 0.0122202i | \(-0.996110\pi\) |
0.935443 | − | 0.353478i | \(-0.115001\pi\) | |||||||
\(758\) | −9607.01 | − | 8061.24i | −0.460346 | − | 0.386276i | ||||
\(759\) | −1842.89 | − | 1546.37i | −0.0881325 | − | 0.0739519i | ||||
\(760\) | −3911.09 | − | 22180.9i | −0.186671 | − | 1.05867i | ||||
\(761\) | −25198.3 | − | 9171.43i | −1.20031 | − | 0.436878i | −0.336979 | − | 0.941512i | \(-0.609405\pi\) |
−0.863333 | + | 0.504634i | \(0.831627\pi\) | |||||||
\(762\) | 9262.28 | + | 3371.19i | 0.440337 | + | 0.160270i | ||||
\(763\) | −10885.1 | + | 18853.6i | −0.516471 | + | 0.894555i | ||||
\(764\) | 154.384 | − | 875.556i | 0.00731076 | − | 0.0414614i | ||||
\(765\) | 3891.45 | − | 3265.31i | 0.183916 | − | 0.154324i | ||||
\(766\) | −9324.34 | − | 16150.2i | −0.439820 | − | 0.761790i | ||||
\(767\) | −3267.32 | + | 5659.16i | −0.153815 | + | 0.266415i | ||||
\(768\) | −154.727 | − | 877.502i | −0.00726984 | − | 0.0412293i | ||||
\(769\) | 4535.66 | + | 7856.00i | 0.212692 | + | 0.368393i | 0.952556 | − | 0.304363i | \(-0.0984436\pi\) |
−0.739864 | + | 0.672756i | \(0.765110\pi\) | |||||||
\(770\) | 7899.62 | − | 2875.23i | 0.369717 | − | 0.134566i | ||||
\(771\) | 9819.52 | 0.458679 | ||||||||
\(772\) | 2903.65 | − | 1056.84i | 0.135369 | − | 0.0492702i | ||||
\(773\) | −5611.59 | + | 31824.9i | −0.261106 | + | 1.48080i | 0.518794 | + | 0.854899i | \(0.326381\pi\) |
−0.779900 | + | 0.625905i | \(0.784730\pi\) | |||||||
\(774\) | 5298.48 | + | 4445.96i | 0.246060 | + | 0.206468i | ||||
\(775\) | 4154.24 | − | 3485.82i | 0.192548 | − | 0.161567i | ||||
\(776\) | −14605.8 | −0.675665 | ||||||||
\(777\) | 6444.78 | − | 7589.13i | 0.297562 | − | 0.350397i | ||||
\(778\) | −20607.5 | −0.949633 | ||||||||
\(779\) | 36125.9 | − | 30313.2i | 1.66155 | − | 1.39420i | ||||
\(780\) | −2036.16 | − | 1708.54i | −0.0934695 | − | 0.0784303i | ||||
\(781\) | 924.369 | − | 5242.36i | 0.0423515 | − | 0.240187i | ||||
\(782\) | −1340.47 | + | 487.892i | −0.0612982 | + | 0.0223107i | ||||
\(783\) | −11304.5 | −0.515949 | ||||||||
\(784\) | 2728.23 | − | 992.993i | 0.124281 | − | 0.0452347i | ||||
\(785\) | 10305.2 | + | 17849.2i | 0.468547 | + | 0.811546i | ||||
\(786\) | −745.076 | − | 4225.54i | −0.0338117 | − | 0.191756i | ||||
\(787\) | −8348.27 | + | 14459.6i | −0.378124 | + | 0.654931i | −0.990789 | − | 0.135412i | \(-0.956764\pi\) |
0.612665 | + | 0.790343i | \(0.290097\pi\) | |||||||
\(788\) | 4781.50 | + | 8281.79i | 0.216160 | + | 0.374399i | ||||
\(789\) | 11722.2 | − | 9836.11i | 0.528925 | − | 0.443821i | ||||
\(790\) | −4905.37 | + | 27819.7i | −0.220918 | + | 1.25289i | ||||
\(791\) | −9841.26 | + | 17045.6i | −0.442370 | + | 0.766208i | ||||
\(792\) | −1948.43 | − | 709.170i | −0.0874172 | − | 0.0318172i | ||||
\(793\) | 2854.74 | + | 1039.04i | 0.127837 | + | 0.0465289i | ||||
\(794\) | −1124.59 | − | 6377.89i | −0.0502649 | − | 0.285066i | ||||
\(795\) | 21463.0 | + | 18009.6i | 0.957503 | + | 0.803440i | ||||
\(796\) | 9746.43 | + | 8178.23i | 0.433986 | + | 0.364158i | ||||
\(797\) | −3130.23 | − | 17752.4i | −0.139120 | − | 0.788988i | −0.971902 | − | 0.235387i | \(-0.924364\pi\) |
0.832782 | − | 0.553601i | \(-0.186747\pi\) | |||||||
\(798\) | −12324.2 | − | 4485.64i | −0.546707 | − | 0.198985i | ||||
\(799\) | −7106.27 | − | 2586.47i | −0.314646 | − | 0.114522i | ||||
\(800\) | −3771.78 | + | 6532.91i | −0.166691 | + | 0.288717i | ||||
\(801\) | 3054.93 | − | 17325.4i | 0.134757 | − | 0.764246i | ||||
\(802\) | −13139.2 | + | 11025.1i | −0.578505 | + | 0.485423i | ||||
\(803\) | −8662.32 | − | 15003.6i | −0.380681 | − | 0.659358i | ||||
\(804\) | 5587.32 | − | 9677.53i | 0.245087 | − | 0.424503i | ||||
\(805\) | −1663.97 | − | 9436.83i | −0.0728536 | − | 0.413173i | ||||
\(806\) | −231.237 | − | 400.515i | −0.0101054 | − | 0.0175031i | ||||
\(807\) | 15881.0 | − | 5780.23i | 0.692738 | − | 0.252136i | ||||
\(808\) | 14194.4 | 0.618018 | ||||||||
\(809\) | −31481.5 | + | 11458.3i | −1.36815 | + | 0.497964i | −0.918563 | − | 0.395275i | \(-0.870649\pi\) |
−0.449582 | + | 0.893239i | \(0.648427\pi\) | |||||||
\(810\) | −696.073 | + | 3947.63i | −0.0301945 | + | 0.171241i | ||||
\(811\) | −9362.52 | − | 7856.09i | −0.405379 | − | 0.340153i | 0.417189 | − | 0.908820i | \(-0.363015\pi\) |
−0.822568 | + | 0.568666i | \(0.807460\pi\) | |||||||
\(812\) | −3019.88 | + | 2533.98i | −0.130513 | + | 0.109514i | ||||
\(813\) | 21303.3 | 0.918991 | ||||||||
\(814\) | 5073.29 | − | 5974.11i | 0.218451 | − | 0.257239i | ||||
\(815\) | 72179.9 | 3.10227 | ||||||||
\(816\) | 766.543 | − | 643.206i | 0.0328853 | − | 0.0275940i | ||||
\(817\) | 26382.0 | + | 22137.1i | 1.12973 | + | 0.947955i | ||||
\(818\) | −2403.70 | + | 13632.1i | −0.102743 | + | 0.582683i | ||||
\(819\) | 1787.03 | − | 650.427i | 0.0762442 | − | 0.0277506i | ||||
\(820\) | −24170.0 | −1.02933 | ||||||||
\(821\) | 10767.2 | − | 3918.94i | 0.457707 | − | 0.166592i | −0.102868 | − | 0.994695i | \(-0.532802\pi\) |
0.560576 | + | 0.828103i | \(0.310580\pi\) | |||||||
\(822\) | 4141.60 | + | 7173.47i | 0.175736 | + | 0.304384i | ||||
\(823\) | 6440.48 | + | 36525.8i | 0.272784 | + | 1.54703i | 0.745915 | + | 0.666041i | \(0.232012\pi\) |
−0.473132 | + | 0.880992i | \(0.656877\pi\) | |||||||
\(824\) | −5390.74 | + | 9337.03i | −0.227907 | + | 0.394746i | ||||
\(825\) | −7143.40 | − | 12372.7i | −0.301456 | − | 0.522137i | ||||
\(826\) | 12659.1 | − | 10622.2i | 0.533252 | − | 0.447451i | ||||
\(827\) | −3071.01 | + | 17416.5i | −0.129129 | + | 0.732325i | 0.849641 | + | 0.527362i | \(0.176819\pi\) |
−0.978770 | + | 0.204963i | \(0.934292\pi\) | |||||||
\(828\) | −1181.74 | + | 2046.84i | −0.0495995 | + | 0.0859089i | ||||
\(829\) | −1386.84 | − | 504.768i | −0.0581024 | − | 0.0211475i | 0.312805 | − | 0.949817i | \(-0.398731\pi\) |
−0.370908 | + | 0.928670i | \(0.620953\pi\) | |||||||
\(830\) | 15470.8 | + | 5630.92i | 0.646989 | + | 0.235485i | ||||
\(831\) | −1836.46 | − | 10415.1i | −0.0766620 | − | 0.434772i | ||||
\(832\) | 492.811 | + | 413.518i | 0.0205350 | + | 0.0172309i | ||||
\(833\) | 2497.67 | + | 2095.79i | 0.103888 | + | 0.0871727i | ||||
\(834\) | 1057.58 | + | 5997.85i | 0.0439102 | + | 0.249027i | ||||
\(835\) | 18374.5 | + | 6687.77i | 0.761528 | + | 0.277174i | ||||
\(836\) | −9701.53 | − | 3531.07i | −0.401357 | − | 0.146082i | ||||
\(837\) | −1676.87 | + | 2904.43i | −0.0692487 | + | 0.119942i | ||||
\(838\) | −4949.31 | + | 28068.9i | −0.204023 | + | 1.15707i | ||||
\(839\) | −8281.89 | + | 6949.33i | −0.340790 | + | 0.285957i | −0.797079 | − | 0.603875i | \(-0.793623\pi\) |
0.456289 | + | 0.889832i | \(0.349178\pi\) | |||||||
\(840\) | 3360.90 | + | 5821.24i | 0.138050 | + | 0.239110i | ||||
\(841\) | 9188.19 | − | 15914.4i | 0.376735 | − | 0.652525i | ||||
\(842\) | −2032.07 | − | 11524.5i | −0.0831709 | − | 0.471685i | ||||
\(843\) | −6438.07 | − | 11151.1i | −0.263036 | − | 0.455591i | ||||
\(844\) | −5778.20 | + | 2103.09i | −0.235656 | + | 0.0857718i | ||||
\(845\) | −39808.7 | −1.62066 | ||||||||
\(846\) | −11774.0 | + | 4285.37i | −0.478484 | + | 0.174154i | ||||
\(847\) | −2268.45 | + | 12865.0i | −0.0920248 | + | 0.521899i | ||||
\(848\) | −5194.68 | − | 4358.86i | −0.210361 | − | 0.176514i | ||||
\(849\) | −16153.4 | + | 13554.3i | −0.652986 | + | 0.547920i | ||||
\(850\) | −8471.54 | −0.341849 | ||||||||
\(851\) | −5702.06 | − | 6877.52i | −0.229688 | − | 0.277037i | ||||
\(852\) | 4256.38 | 0.171151 | ||||||||
\(853\) | 24170.2 | − | 20281.2i | 0.970191 | − | 0.814087i | −0.0123898 | − | 0.999923i | \(-0.503944\pi\) |
0.982581 | + | 0.185836i | \(0.0594995\pi\) | |||||||
\(854\) | −5885.21 | − | 4938.27i | −0.235817 | − | 0.197874i | ||||
\(855\) | 7277.21 | − | 41271.1i | 0.291082 | − | 1.65081i | ||||
\(856\) | 7032.90 | − | 2559.77i | 0.280817 | − | 0.102209i | ||||
\(857\) | −1169.47 | −0.0466140 | −0.0233070 | − | 0.999728i | \(-0.507420\pi\) | ||||
−0.0233070 | + | 0.999728i | \(0.507420\pi\) | |||||||
\(858\) | −1144.91 | + | 416.713i | −0.0455554 | + | 0.0165808i | ||||
\(859\) | −17016.3 | − | 29473.1i | −0.675888 | − | 1.17067i | −0.976208 | − | 0.216834i | \(-0.930427\pi\) |
0.300320 | − | 0.953838i | \(-0.402906\pi\) | |||||||
\(860\) | −3065.04 | − | 17382.7i | −0.121531 | − | 0.689238i | ||||
\(861\) | −7037.08 | + | 12188.6i | −0.278540 | + | 0.482446i | ||||
\(862\) | 12240.9 | + | 21201.9i | 0.483674 | + | 0.837747i | ||||
\(863\) | 1199.08 | − | 1006.15i | 0.0472969 | − | 0.0396868i | −0.618833 | − | 0.785523i | \(-0.712394\pi\) |
0.666130 | + | 0.745836i | \(0.267950\pi\) | |||||||
\(864\) | 810.099 | − | 4594.30i | 0.0318983 | − | 0.180904i | ||||
\(865\) | −17692.4 | + | 30644.2i | −0.695446 | + | 1.20455i | ||||
\(866\) | 18152.1 | + | 6606.81i | 0.712277 | + | 0.259248i | ||||
\(867\) | −15013.0 | − | 5464.30i | −0.588085 | − | 0.214045i | ||||
\(868\) | 203.089 | + | 1151.77i | 0.00794156 | + | 0.0450388i | ||||
\(869\) | 9919.33 | + | 8323.31i | 0.387216 | + | 0.324912i | ||||
\(870\) | 7853.57 | + | 6589.93i | 0.306047 | + | 0.256804i | ||||
\(871\) | 1400.99 | + | 7945.38i | 0.0545013 | + | 0.309092i | ||||
\(872\) | −12876.4 | − | 4686.64i | −0.500058 | − | 0.182006i | ||||
\(873\) | −25537.4 | − | 9294.86i | −0.990047 | − | 0.360348i | ||||
\(874\) | −5884.09 | + | 10191.5i | −0.227726 | + | 0.394432i | ||||
\(875\) | 4641.93 | − | 26325.7i | 0.179344 | − | 1.01711i | ||||
\(876\) | 10611.7 | − | 8904.24i | 0.409286 | − | 0.343432i | ||||
\(877\) | 4194.92 | + | 7265.82i | 0.161519 | + | 0.279760i | 0.935414 | − | 0.353555i | \(-0.115027\pi\) |
−0.773894 | + | 0.633315i | \(0.781694\pi\) | |||||||
\(878\) | 3482.24 | − | 6031.42i | 0.133850 | − | 0.231834i | ||||
\(879\) | −501.358 | − | 2843.34i | −0.0192382 | − | 0.109105i | ||||
\(880\) | 2645.68 | + | 4582.44i | 0.101347 | + | 0.175539i | ||||
\(881\) | 1860.67 | − | 677.227i | 0.0711549 | − | 0.0258983i | −0.306197 | − | 0.951968i | \(-0.599057\pi\) |
0.377352 | + | 0.926070i | \(0.376835\pi\) | |||||||
\(882\) | 5402.09 | 0.206233 | ||||||||
\(883\) | −23677.1 | + | 8617.77i | −0.902377 | + | 0.328438i | −0.751205 | − | 0.660069i | \(-0.770527\pi\) |
−0.151172 | + | 0.988507i | \(0.548305\pi\) | |||||||
\(884\) | −125.453 | + | 711.482i | −0.00477314 | + | 0.0270698i | ||||
\(885\) | −32921.6 | − | 27624.5i | −1.25045 | − | 1.04925i | ||||
\(886\) | −6773.71 | + | 5683.81i | −0.256848 | + | 0.215521i | ||||
\(887\) | 291.462 | 0.0110331 | 0.00551653 | − | 0.999985i | \(-0.498244\pi\) | ||||
0.00551653 | + | 0.999985i | \(0.498244\pi\) | |||||||
\(888\) | 5408.66 | + | 3165.42i | 0.204395 | + | 0.119622i | ||||
\(889\) | 17996.5 | 0.678947 | ||||||||
\(890\) | −34391.6 | + | 28858.0i | −1.29529 | + | 1.08688i | ||||
\(891\) | 1407.56 | + | 1181.08i | 0.0529235 | + | 0.0444081i | ||||
\(892\) | 3488.32 | − | 19783.3i | 0.130939 | − | 0.742593i | ||||
\(893\) | −58624.4 | + | 21337.5i | −2.19686 | + | 0.799590i | ||||
\(894\) | 3270.54 | 0.122352 | ||||||||
\(895\) | −24561.4 | + | 8939.64i | −0.917317 | + | 0.333876i | ||||
\(896\) | −813.436 | − | 1408.91i | −0.0303292 | − | 0.0525318i | ||||
\(897\) | 241.162 | + | 1367.70i | 0.00897679 | + | 0.0509099i | ||||
\(898\) | −8707.97 | + | 15082.6i | −0.323595 | + | 0.560484i | ||||
\(899\) | 891.894 | + | 1544.81i | 0.0330882 | + | 0.0573105i | ||||
\(900\) | −10752.2 | + | 9022.17i | −0.398230 | + | 0.334154i | ||||
\(901\) | 1322.39 | − | 7499.67i | 0.0488961 | − | 0.277303i | ||||
\(902\) | −5539.54 | + | 9594.77i | −0.204486 | + | 0.354181i | ||||
\(903\) | −9658.22 | − | 3515.30i | −0.355931 | − | 0.129548i | ||||
\(904\) | −11641.6 | − | 4237.20i | −0.428312 | − | 0.155893i | ||||
\(905\) | −8684.70 | − | 49253.4i | −0.318993 | − | 1.80910i | ||||
\(906\) | −1018.59 | − | 854.697i | −0.0373514 | − | 0.0313415i | ||||
\(907\) | 1801.63 | + | 1511.75i | 0.0659562 | + | 0.0553438i | 0.675170 | − | 0.737662i | \(-0.264070\pi\) |
−0.609214 | + | 0.793006i | \(0.708515\pi\) | |||||||
\(908\) | −1640.77 | − | 9305.28i | −0.0599680 | − | 0.340095i | ||||
\(909\) | 24818.2 | + | 9033.10i | 0.905576 | + | 0.329603i | ||||
\(910\) | −4560.38 | − | 1659.84i | −0.166126 | − | 0.0604651i | ||||
\(911\) | 3198.99 | − | 5540.81i | 0.116342 | − | 0.201510i | −0.801974 | − | 0.597359i | \(-0.796217\pi\) |
0.918315 | + | 0.395850i | \(0.129550\pi\) | |||||||
\(912\) | 1433.47 | − | 8129.63i | 0.0520472 | − | 0.295174i | ||||
\(913\) | 5781.08 | − | 4850.90i | 0.209557 | − | 0.175839i | ||||
\(914\) | −8085.97 | − | 14005.3i | −0.292626 | − | 0.506843i | ||||
\(915\) | −9989.78 | + | 17302.8i | −0.360931 | + | 0.625151i | ||||
\(916\) | −618.363 | − | 3506.91i | −0.0223049 | − | 0.126497i | ||||
\(917\) | −3917.03 | − | 6784.50i | −0.141060 | − | 0.244323i | ||||
\(918\) | 4923.11 | − | 1791.87i | 0.177001 | − | 0.0644231i | ||||
\(919\) | −1082.30 | −0.0388486 | −0.0194243 | − | 0.999811i | \(-0.506183\pi\) | ||||
−0.0194243 | + | 0.999811i | \(0.506183\pi\) | |||||||
\(920\) | 5667.70 | − | 2062.87i | 0.203107 | − | 0.0739250i | ||||
\(921\) | 852.508 | − | 4834.81i | 0.0305007 | − | 0.172978i | ||||
\(922\) | 9696.70 | + | 8136.49i | 0.346360 | + | 0.290630i | ||||
\(923\) | −2354.09 | + | 1975.32i | −0.0839501 | + | 0.0704425i | ||||
\(924\) | 3081.14 | 0.109699 | ||||||||
\(925\) | −17851.3 | − | 49962.0i | −0.634537 | − | 1.77593i | ||||
\(926\) | −13168.2 | −0.467315 | ||||||||
\(927\) | −15367.4 | + | 12894.7i | −0.544477 | + | 0.456870i | ||||
\(928\) | −1900.80 | − | 1594.96i | −0.0672378 | − | 0.0564192i | ||||
\(929\) | 1362.37 | − | 7726.36i | 0.0481138 | − | 0.272867i | −0.951254 | − | 0.308407i | \(-0.900204\pi\) |
0.999368 | + | 0.0355401i | \(0.0113151\pi\) | |||||||
\(930\) | 2858.11 | − | 1040.27i | 0.100775 | − | 0.0366793i | ||||
\(931\) | 26897.8 | 0.946875 | ||||||||
\(932\) | −18827.7 | + | 6852.74i | −0.661720 | + | 0.240846i | ||||
\(933\) | −1804.65 | − | 3125.74i | −0.0633241 | − | 0.109681i | ||||
\(934\) | −2111.53 | − | 11975.1i | −0.0739738 | − | 0.419526i | ||||
\(935\) | −2971.14 | + | 5146.16i | −0.103921 | + | 0.179997i | ||||
\(936\) | 598.499 | + | 1036.63i | 0.0209002 | + | 0.0362001i | ||||
\(937\) | 11224.0 | − | 9418.06i | 0.391326 | − | 0.328361i | −0.425804 | − | 0.904816i | \(-0.640009\pi\) |
0.817129 | + | 0.576454i | \(0.195564\pi\) | |||||||
\(938\) | 3542.92 | − | 20092.9i | 0.123327 | − | 0.699420i | ||||
\(939\) | 1683.94 | − | 2916.67i | 0.0585233 | − | 0.101365i | ||||
\(940\) | 30046.3 | + | 10936.0i | 1.04256 | + | 0.379459i | ||||
\(941\) | 43217.0 | + | 15729.7i | 1.49717 | + | 0.544924i | 0.955325 | − | 0.295557i | \(-0.0955053\pi\) |
0.541841 | + | 0.840481i | \(0.317727\pi\) | |||||||
\(942\) | 1311.74 | + | 7439.27i | 0.0453704 | + | 0.257309i | ||||
\(943\) | 9674.14 | + | 8117.57i | 0.334076 | + | 0.280323i | ||||
\(944\) | 7967.99 | + | 6685.94i | 0.274720 | + | 0.230518i | ||||
\(945\) | 6111.20 | + | 34658.4i | 0.210368 | + | 1.19305i | ||||
\(946\) | −7602.88 | − | 2767.22i | −0.261301 | − | 0.0951059i | ||||
\(947\) | 42244.7 | + | 15375.8i | 1.44960 | + | 0.527610i | 0.942478 | − | 0.334268i | \(-0.108489\pi\) |
0.507117 | + | 0.861877i | \(0.330711\pi\) | |||||||
\(948\) | −5176.83 | + | 8966.52i | −0.177358 | + | 0.307193i | ||||
\(949\) | −1736.72 | + | 9849.41i | −0.0594059 | + | 0.336908i | ||||
\(950\) | −53536.9 | + | 44922.8i | −1.82838 | + | 1.53420i | ||||
\(951\) | 3141.83 | + | 5441.82i | 0.107130 | + | 0.185555i | ||||
\(952\) | 913.502 | − | 1582.23i | 0.0310995 | − | 0.0538660i | ||||
\(953\) | 4717.98 | + | 26757.0i | 0.160368 | + | 0.909490i | 0.953713 | + | 0.300718i | \(0.0972263\pi\) |
−0.793346 | + | 0.608772i | \(0.791663\pi\) | |||||||
\(954\) | −6308.73 | − | 10927.0i | −0.214101 | − | 0.370834i | ||||
\(955\) | −3966.92 | + | 1443.84i | −0.134415 | + | 0.0489231i | ||||
\(956\) | 1918.26 | 0.0648965 | ||||||||
\(957\) | 4415.97 | − | 1607.28i | 0.149162 | − | 0.0542905i | ||||
\(958\) | 3616.99 | − | 20512.9i | 0.121983 | − | 0.691799i | ||||
\(959\) | 11585.4 | + | 9721.27i | 0.390105 | + | 0.327337i | ||||
\(960\) | −3241.05 | + | 2719.56i | −0.108963 | + | 0.0914307i | ||||
\(961\) | −29261.8 | −0.982236 | ||||||||
\(962\) | −4460.41 | + | 759.363i | −0.149490 | + | 0.0254499i | ||||
\(963\) | 13925.7 | 0.465990 | ||||||||
\(964\) | −19050.0 | + | 15984.8i | −0.636471 | + | 0.534063i | ||||
\(965\) | −11239.5 | − | 9431.08i | −0.374936 | − | 0.314608i | ||||
\(966\) | 609.869 | − | 3458.74i | 0.0203129 | − | 0.115200i | ||||
\(967\) | −2874.29 | + | 1046.16i | −0.0955852 | + | 0.0347902i | −0.389370 | − | 0.921081i | \(-0.627307\pi\) |
0.293785 | + | 0.955872i | \(0.405085\pi\) | |||||||
\(968\) | −8222.54 | −0.273019 | ||||||||
\(969\) | 8711.46 | − | 3170.71i | 0.288805 | − | 0.105117i | ||||
\(970\) | 34676.0 | + | 60060.6i | 1.14781 | + | 1.98807i | ||||
\(971\) | −4643.53 | − | 26334.7i | −0.153468 | − | 0.870363i | −0.960173 | − | 0.279407i | \(-0.909862\pi\) |
0.806704 | − | 0.590955i | \(-0.201249\pi\) | |||||||
\(972\) | 7137.89 | − | 12363.2i | 0.235543 | − | 0.407973i | ||||
\(973\) | 5559.95 | + | 9630.11i | 0.183190 | + | 0.317294i | ||||
\(974\) | 10327.2 | − | 8665.56i | 0.339738 | − | 0.285074i | ||||
\(975\) | −1432.19 | + | 8122.34i | −0.0470428 | + | 0.266793i | ||||
\(976\) | 2417.82 | − | 4187.79i | 0.0792957 | − | 0.137344i | ||||
\(977\) | 1791.18 | + | 651.936i | 0.0586539 | + | 0.0213483i | 0.371181 | − | 0.928561i | \(-0.378953\pi\) |
−0.312527 | + | 0.949909i | \(0.601175\pi\) | |||||||
\(978\) | 24859.6 | + | 9048.15i | 0.812804 | + | 0.295836i | ||||
\(979\) | 3573.52 | + | 20266.4i | 0.116660 | + | 0.661611i | ||||
\(980\) | −10560.5 | − | 8861.29i | −0.344227 | − | 0.288840i | ||||
\(981\) | −19531.3 | − | 16388.7i | −0.635663 | − | 0.533384i | ||||
\(982\) | −1058.87 | − | 6005.17i | −0.0344094 | − | 0.195145i | ||||
\(983\) | 20939.3 | + | 7621.27i | 0.679409 | + | 0.247285i | 0.658594 | − | 0.752499i | \(-0.271152\pi\) |
0.0208152 | + | 0.999783i | \(0.493374\pi\) | |||||||
\(984\) | −8324.44 | − | 3029.85i | −0.269688 | − | 0.0981585i | ||||
\(985\) | 22703.8 | − | 39324.1i | 0.734420 | − | 1.27205i | ||||
\(986\) | 483.880 | − | 2744.22i | 0.0156287 | − | 0.0886346i | ||||
\(987\) | 14262.8 | − | 11967.9i | 0.459969 | − | 0.385960i | ||||
\(988\) | 2980.02 | + | 5161.55i | 0.0959586 | + | 0.166205i | ||||
\(989\) | −4611.23 | + | 7986.89i | −0.148260 | + | 0.256793i | ||||
\(990\) | 1709.64 | + | 9695.83i | 0.0548847 | + | 0.311266i | ||||
\(991\) | 6595.97 | + | 11424.6i | 0.211431 | + | 0.366209i | 0.952163 | − | 0.305592i | \(-0.0988544\pi\) |
−0.740732 | + | 0.671801i | \(0.765521\pi\) | |||||||
\(992\) | −691.747 | + | 251.775i | −0.0221401 | + | 0.00805834i | ||||
\(993\) | 21903.0 | 0.699971 | ||||||||
\(994\) | 7302.69 | − | 2657.96i | 0.233025 | − | 0.0848143i | ||||
\(995\) | 10490.5 | − | 59494.7i | 0.334243 | − | 1.89559i | ||||
\(996\) | 4622.47 | + | 3878.71i | 0.147057 | + | 0.123395i | ||||
\(997\) | 27380.0 | − | 22974.6i | 0.869743 | − | 0.729801i | −0.0943010 | − | 0.995544i | \(-0.530062\pi\) |
0.964044 | + | 0.265743i | \(0.0856172\pi\) | |||||||
\(998\) | −11505.3 | −0.364925 | ||||||||
\(999\) | 20941.8 | + | 25258.9i | 0.663232 | + | 0.799955i |
(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 | 74.4.f.b.49.2 | ✓ | 30 | |
37.34 | even | 9 | inner | 74.4.f.b.71.2 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.4.f.b.49.2 | ✓ | 30 | 1.1 | even | 1 | trivial | |
74.4.f.b.71.2 | yes | 30 | 37.34 | even | 9 | inner |