Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,4,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), 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: | \(6.37220628062\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.18 | ||
Character | \(\chi\) | \(=\) | 108.11 |
Dual form | 108.4.l.a.59.18 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.49038 | + | 2.40390i | −0.526930 | + | 0.849909i | ||||
\(3\) | 1.35776 | + | 5.01562i | 0.261301 | + | 0.965257i | ||||
\(4\) | −3.55752 | − | 7.16548i | −0.444690 | − | 0.895685i | ||||
\(5\) | −5.18482 | + | 14.2452i | −0.463744 | + | 1.27413i | 0.458904 | + | 0.888486i | \(0.348242\pi\) |
−0.922649 | + | 0.385642i | \(0.873980\pi\) | |||||||
\(6\) | −14.0807 | − | 4.21127i | −0.958068 | − | 0.286541i | ||||
\(7\) | 9.21752 | + | 1.62530i | 0.497699 | + | 0.0877578i | 0.416863 | − | 0.908970i | \(-0.363130\pi\) |
0.0808368 | + | 0.996727i | \(0.474241\pi\) | |||||||
\(8\) | 22.5272 | + | 2.12738i | 0.995571 | + | 0.0940176i | ||||
\(9\) | −23.3130 | + | 13.6200i | −0.863443 | + | 0.504446i | ||||
\(10\) | −26.5167 | − | 33.6946i | −0.838531 | − | 1.06552i | ||||
\(11\) | −59.3614 | + | 21.6058i | −1.62710 | + | 0.592217i | −0.984716 | − | 0.174165i | \(-0.944277\pi\) |
−0.642385 | + | 0.766382i | \(0.722055\pi\) | |||||||
\(12\) | 31.1091 | − | 27.5722i | 0.748368 | − | 0.663283i | ||||
\(13\) | 44.8414 | − | 37.6264i | 0.956675 | − | 0.802746i | −0.0237339 | − | 0.999718i | \(-0.507555\pi\) |
0.980409 | + | 0.196973i | \(0.0631110\pi\) | |||||||
\(14\) | −17.6447 | + | 19.7357i | −0.336839 | + | 0.376757i | ||||
\(15\) | −78.4882 | − | 6.66357i | −1.35104 | − | 0.114702i | ||||
\(16\) | −38.6881 | + | 50.9826i | −0.604502 | + | 0.796603i | ||||
\(17\) | 50.3759 | − | 29.0845i | 0.718702 | − | 0.414943i | −0.0955726 | − | 0.995422i | \(-0.530468\pi\) |
0.814275 | + | 0.580480i | \(0.197135\pi\) | |||||||
\(18\) | 2.00400 | − | 76.3412i | 0.0262415 | − | 0.999656i | ||||
\(19\) | −46.1670 | − | 26.6545i | −0.557444 | − | 0.321840i | 0.194675 | − | 0.980868i | \(-0.437635\pi\) |
−0.752119 | + | 0.659027i | \(0.770968\pi\) | |||||||
\(20\) | 120.519 | − | 13.5257i | 1.34744 | − | 0.151222i | ||||
\(21\) | 4.36330 | + | 48.4384i | 0.0453405 | + | 0.503339i | ||||
\(22\) | 36.5330 | − | 174.900i | 0.354039 | − | 1.69494i | ||||
\(23\) | −2.42499 | − | 13.7528i | −0.0219846 | − | 0.124681i | 0.971840 | − | 0.235640i | \(-0.0757187\pi\) |
−0.993825 | + | 0.110960i | \(0.964608\pi\) | |||||||
\(24\) | 19.9164 | + | 115.876i | 0.169393 | + | 0.985549i | ||||
\(25\) | −80.2871 | − | 67.3689i | −0.642297 | − | 0.538951i | ||||
\(26\) | 23.6194 | + | 163.872i | 0.178160 | + | 1.23608i | ||||
\(27\) | −99.9664 | − | 98.4364i | −0.712539 | − | 0.701633i | ||||
\(28\) | −21.1454 | − | 71.8300i | −0.142718 | − | 0.484807i | ||||
\(29\) | −12.2488 | + | 14.5975i | −0.0784326 | + | 0.0934723i | −0.803834 | − | 0.594854i | \(-0.797210\pi\) |
0.725401 | + | 0.688326i | \(0.241654\pi\) | |||||||
\(30\) | 132.996 | − | 178.747i | 0.809388 | − | 1.08782i | ||||
\(31\) | −197.673 | + | 34.8550i | −1.14526 | + | 0.201940i | −0.713905 | − | 0.700242i | \(-0.753075\pi\) |
−0.431355 | + | 0.902182i | \(0.641964\pi\) | |||||||
\(32\) | −64.8972 | − | 168.986i | −0.358510 | − | 0.933526i | ||||
\(33\) | −188.965 | − | 268.399i | −0.996805 | − | 1.41583i | ||||
\(34\) | −5.16292 | + | 164.446i | −0.0260422 | + | 0.829477i | ||||
\(35\) | −70.9438 | + | 122.878i | −0.342620 | + | 0.593435i | ||||
\(36\) | 180.530 | + | 118.595i | 0.835789 | + | 0.549051i | ||||
\(37\) | 101.361 | + | 175.562i | 0.450367 | + | 0.780058i | 0.998409 | − | 0.0563927i | \(-0.0179599\pi\) |
−0.548042 | + | 0.836451i | \(0.684627\pi\) | |||||||
\(38\) | 132.881 | − | 71.2556i | 0.567269 | − | 0.304189i | ||||
\(39\) | 249.604 | + | 173.820i | 1.02484 | + | 0.713679i | ||||
\(40\) | −147.104 | + | 309.874i | −0.581481 | + | 1.22488i | ||||
\(41\) | 197.308 | + | 235.142i | 0.751567 | + | 0.895683i | 0.997283 | − | 0.0736588i | \(-0.0234676\pi\) |
−0.245716 | + | 0.969342i | \(0.579023\pi\) | |||||||
\(42\) | −122.944 | − | 61.7028i | −0.451684 | − | 0.226689i | ||||
\(43\) | 182.426 | + | 501.213i | 0.646972 | + | 1.77754i | 0.628626 | + | 0.777708i | \(0.283618\pi\) |
0.0183458 | + | 0.999832i | \(0.494160\pi\) | |||||||
\(44\) | 365.995 | + | 348.490i | 1.25399 | + | 1.19402i | ||||
\(45\) | −73.1462 | − | 402.715i | −0.242311 | − | 1.33407i | ||||
\(46\) | 36.6746 | + | 14.6675i | 0.117552 | + | 0.0470131i | ||||
\(47\) | −39.9568 | + | 226.606i | −0.124006 | + | 0.703274i | 0.857887 | + | 0.513839i | \(0.171777\pi\) |
−0.981893 | + | 0.189436i | \(0.939334\pi\) | |||||||
\(48\) | −308.239 | − | 124.823i | −0.926884 | − | 0.375347i | ||||
\(49\) | −239.993 | − | 87.3505i | −0.699689 | − | 0.254666i | ||||
\(50\) | 281.607 | − | 92.5972i | 0.796505 | − | 0.261904i | ||||
\(51\) | 214.275 | + | 213.177i | 0.588324 | + | 0.585308i | ||||
\(52\) | −429.136 | − | 187.454i | −1.14443 | − | 0.499907i | ||||
\(53\) | 462.816i | 1.19948i | 0.800194 | + | 0.599742i | \(0.204730\pi\) | ||||
−0.800194 | + | 0.599742i | \(0.795270\pi\) | |||||||
\(54\) | 385.620 | − | 93.6018i | 0.971782 | − | 0.235881i | ||||
\(55\) | − | 957.635i | − | 2.34777i | ||||||
\(56\) | 204.187 | + | 56.2225i | 0.487244 | + | 0.134162i | ||||
\(57\) | 71.0054 | − | 267.747i | 0.164998 | − | 0.622174i | ||||
\(58\) | −16.8357 | − | 51.2009i | −0.0381144 | − | 0.115914i | ||||
\(59\) | −56.3577 | − | 20.5125i | −0.124358 | − | 0.0452628i | 0.279091 | − | 0.960265i | \(-0.409967\pi\) |
−0.403450 | + | 0.915002i | \(0.632189\pi\) | |||||||
\(60\) | 231.475 | + | 586.111i | 0.498056 | + | 1.26111i | ||||
\(61\) | −45.0700 | + | 255.605i | −0.0946004 | + | 0.536505i | 0.900269 | + | 0.435335i | \(0.143370\pi\) |
−0.994869 | + | 0.101171i | \(0.967741\pi\) | |||||||
\(62\) | 210.820 | − | 527.134i | 0.431841 | − | 1.07977i | ||||
\(63\) | −237.024 | + | 87.6524i | −0.474004 | + | 0.175288i | ||||
\(64\) | 502.949 | + | 95.8476i | 0.982321 | + | 0.187202i | ||||
\(65\) | 303.500 | + | 833.860i | 0.579148 | + | 1.59119i | ||||
\(66\) | 926.835 | − | 54.2366i | 1.72857 | − | 0.101153i | ||||
\(67\) | 160.196 | + | 190.914i | 0.292105 | + | 0.348118i | 0.892060 | − | 0.451916i | \(-0.149259\pi\) |
−0.599955 | + | 0.800034i | \(0.704815\pi\) | |||||||
\(68\) | −387.617 | − | 257.498i | −0.691257 | − | 0.459210i | ||||
\(69\) | 65.6863 | − | 30.8359i | 0.114604 | − | 0.0538000i | ||||
\(70\) | −189.654 | − | 353.678i | −0.323829 | − | 0.603894i | ||||
\(71\) | −533.420 | − | 923.911i | −0.891625 | − | 1.54434i | −0.837927 | − | 0.545782i | \(-0.816233\pi\) |
−0.0536977 | − | 0.998557i | \(-0.517101\pi\) | |||||||
\(72\) | −554.151 | + | 257.226i | −0.907046 | + | 0.421032i | ||||
\(73\) | 228.650 | − | 396.034i | 0.366596 | − | 0.634963i | −0.622435 | − | 0.782671i | \(-0.713857\pi\) |
0.989031 | + | 0.147709i | \(0.0471899\pi\) | |||||||
\(74\) | −573.100 | − | 17.9930i | −0.900290 | − | 0.0282654i | ||||
\(75\) | 228.886 | − | 494.161i | 0.352394 | − | 0.760810i | ||||
\(76\) | −26.7526 | + | 425.632i | −0.0403780 | + | 0.642413i | ||||
\(77\) | −582.280 | + | 102.672i | −0.861779 | + | 0.151955i | ||||
\(78\) | −789.853 | + | 340.966i | −1.14658 | + | 0.494958i | ||||
\(79\) | −441.698 | + | 526.395i | −0.629049 | + | 0.749672i | −0.982598 | − | 0.185744i | \(-0.940530\pi\) |
0.353549 | + | 0.935416i | \(0.384975\pi\) | |||||||
\(80\) | −525.665 | − | 815.455i | −0.734640 | − | 1.13963i | ||||
\(81\) | 357.989 | − | 635.047i | 0.491069 | − | 0.871121i | ||||
\(82\) | −859.323 | + | 123.857i | −1.15727 | + | 0.166801i | ||||
\(83\) | 894.982 | + | 750.979i | 1.18358 | + | 0.993141i | 0.999949 | + | 0.0101457i | \(0.00322953\pi\) |
0.183631 | + | 0.982995i | \(0.441215\pi\) | |||||||
\(84\) | 331.562 | − | 203.586i | 0.430671 | − | 0.264440i | ||||
\(85\) | 153.124 | + | 868.411i | 0.195396 | + | 1.10815i | ||||
\(86\) | −1476.75 | − | 308.463i | −1.85166 | − | 0.386772i | ||||
\(87\) | −89.8467 | − | 41.6154i | −0.110719 | − | 0.0512832i | ||||
\(88\) | −1383.21 | + | 360.433i | −1.67557 | + | 0.436617i | ||||
\(89\) | −114.202 | − | 65.9345i | −0.136016 | − | 0.0785286i | 0.430448 | − | 0.902615i | \(-0.358356\pi\) |
−0.566464 | + | 0.824087i | \(0.691689\pi\) | |||||||
\(90\) | 1077.10 | + | 424.363i | 1.26152 | + | 0.497020i | ||||
\(91\) | 474.481 | − | 273.942i | 0.546584 | − | 0.315570i | ||||
\(92\) | −89.9185 | + | 66.3020i | −0.101898 | + | 0.0751355i | ||||
\(93\) | −443.212 | − | 944.127i | −0.494182 | − | 1.05270i | ||||
\(94\) | −485.189 | − | 433.782i | −0.532376 | − | 0.475970i | ||||
\(95\) | 619.066 | − | 519.458i | 0.668577 | − | 0.561003i | ||||
\(96\) | 759.457 | − | 554.943i | 0.807414 | − | 0.589986i | ||||
\(97\) | 1017.66 | − | 370.397i | 1.06523 | − | 0.387713i | 0.250840 | − | 0.968029i | \(-0.419293\pi\) |
0.814391 | + | 0.580316i | \(0.197071\pi\) | |||||||
\(98\) | 567.664 | − | 446.736i | 0.585130 | − | 0.460481i | ||||
\(99\) | 1089.62 | − | 1312.20i | 1.10617 | − | 1.33213i | ||||
\(100\) | −197.108 | + | 814.962i | −0.197108 | + | 0.814962i | ||||
\(101\) | −1228.25 | − | 216.574i | −1.21006 | − | 0.213366i | −0.468017 | − | 0.883720i | \(-0.655031\pi\) |
−0.742042 | + | 0.670354i | \(0.766142\pi\) | |||||||
\(102\) | −831.808 | + | 197.383i | −0.807464 | + | 0.191606i | ||||
\(103\) | 66.2059 | − | 181.899i | 0.0633346 | − | 0.174010i | −0.903989 | − | 0.427556i | \(-0.859375\pi\) |
0.967323 | + | 0.253546i | \(0.0815969\pi\) | |||||||
\(104\) | 1090.20 | − | 752.223i | 1.02791 | − | 0.709246i | ||||
\(105\) | −712.636 | − | 188.988i | −0.662345 | − | 0.175651i | ||||
\(106\) | −1112.56 | − | 689.773i | −1.01945 | − | 0.632044i | ||||
\(107\) | −583.699 | −0.527367 | −0.263684 | − | 0.964609i | \(-0.584937\pi\) | ||||
−0.263684 | + | 0.964609i | \(0.584937\pi\) | |||||||
\(108\) | −349.711 | + | 1066.50i | −0.311583 | + | 0.950219i | ||||
\(109\) | 1619.82 | 1.42340 | 0.711700 | − | 0.702484i | \(-0.247926\pi\) | ||||
0.711700 | + | 0.702484i | \(0.247926\pi\) | |||||||
\(110\) | 2302.06 | + | 1427.24i | 1.99539 | + | 1.23711i | ||||
\(111\) | −742.928 | + | 746.757i | −0.635276 | + | 0.638550i | ||||
\(112\) | −439.471 | + | 407.054i | −0.370769 | + | 0.343419i | ||||
\(113\) | 234.896 | − | 645.371i | 0.195550 | − | 0.537269i | −0.802702 | − | 0.596381i | \(-0.796605\pi\) |
0.998251 | + | 0.0591123i | \(0.0188270\pi\) | |||||||
\(114\) | 537.813 | + | 569.735i | 0.441849 | + | 0.468075i | ||||
\(115\) | 208.484 | + | 36.7614i | 0.169054 | + | 0.0298089i | ||||
\(116\) | 148.174 | + | 35.8375i | 0.118600 | + | 0.0286847i | ||||
\(117\) | −532.914 | + | 1487.93i | −0.421093 | + | 1.17572i | ||||
\(118\) | 133.305 | − | 104.907i | 0.103997 | − | 0.0818430i | ||||
\(119\) | 511.611 | − | 186.211i | 0.394112 | − | 0.143445i | ||||
\(120\) | −1753.94 | − | 317.085i | −1.33427 | − | 0.241215i | ||||
\(121\) | 2037.36 | − | 1709.54i | 1.53070 | − | 1.28441i | ||||
\(122\) | −547.278 | − | 489.293i | −0.406133 | − | 0.363103i | ||||
\(123\) | −911.487 | + | 1308.89i | −0.668179 | + | 0.959499i | ||||
\(124\) | 952.977 | + | 1292.42i | 0.690160 | + | 0.935991i | ||||
\(125\) | −265.097 | + | 153.054i | −0.189688 | + | 0.109516i | ||||
\(126\) | 142.549 | − | 700.420i | 0.100788 | − | 0.495225i | ||||
\(127\) | −106.459 | − | 61.4642i | −0.0743836 | − | 0.0429454i | 0.462347 | − | 0.886699i | \(-0.347007\pi\) |
−0.536730 | + | 0.843754i | \(0.680341\pi\) | |||||||
\(128\) | −979.994 | + | 1066.19i | −0.676719 | + | 0.736241i | ||||
\(129\) | −2266.20 | + | 1595.51i | −1.54673 | + | 1.08897i | ||||
\(130\) | −2456.85 | − | 513.185i | −1.65754 | − | 0.346226i | ||||
\(131\) | −259.434 | − | 1471.32i | −0.173029 | − | 0.981299i | −0.940394 | − | 0.340087i | \(-0.889543\pi\) |
0.767364 | − | 0.641211i | \(-0.221568\pi\) | |||||||
\(132\) | −1250.96 | + | 2308.86i | −0.824864 | + | 1.52243i | ||||
\(133\) | −382.224 | − | 320.724i | −0.249195 | − | 0.209100i | ||||
\(134\) | −697.693 | + | 100.561i | −0.449787 | + | 0.0648293i | ||||
\(135\) | 1920.55 | − | 913.664i | 1.22441 | − | 0.582487i | ||||
\(136\) | 1196.70 | − | 548.024i | 0.754531 | − | 0.345534i | ||||
\(137\) | −576.908 | + | 687.532i | −0.359770 | + | 0.428758i | −0.915321 | − | 0.402725i | \(-0.868063\pi\) |
0.555551 | + | 0.831483i | \(0.312508\pi\) | |||||||
\(138\) | −23.7713 | + | 203.861i | −0.0146634 | + | 0.125752i | ||||
\(139\) | 935.951 | − | 165.033i | 0.571125 | − | 0.100705i | 0.119375 | − | 0.992849i | \(-0.461911\pi\) |
0.451750 | + | 0.892145i | \(0.350800\pi\) | |||||||
\(140\) | 1132.87 | + | 71.2048i | 0.683890 | + | 0.0429850i | ||||
\(141\) | −1190.82 | + | 107.269i | −0.711244 | + | 0.0640684i | ||||
\(142\) | 3016.00 | + | 94.6898i | 1.78237 | + | 0.0559591i | ||||
\(143\) | −1848.90 | + | 3202.39i | −1.08121 | + | 1.87271i | ||||
\(144\) | 207.551 | − | 1715.49i | 0.120110 | − | 0.992761i | ||||
\(145\) | −144.437 | − | 250.172i | −0.0827229 | − | 0.143280i | ||||
\(146\) | 611.251 | + | 1139.90i | 0.346490 | + | 0.646154i | ||||
\(147\) | 112.264 | − | 1322.32i | 0.0629887 | − | 0.741925i | ||||
\(148\) | 897.391 | − | 1350.86i | 0.498413 | − | 0.750270i | ||||
\(149\) | 1952.86 | + | 2327.33i | 1.07372 | + | 1.27961i | 0.958136 | + | 0.286314i | \(0.0924301\pi\) |
0.115586 | + | 0.993297i | \(0.463125\pi\) | |||||||
\(150\) | 846.787 | + | 1286.71i | 0.460933 | + | 0.700396i | ||||
\(151\) | 825.091 | + | 2266.92i | 0.444668 | + | 1.22172i | 0.936389 | + | 0.350963i | \(0.114146\pi\) |
−0.491721 | + | 0.870753i | \(0.663632\pi\) | |||||||
\(152\) | −983.308 | − | 698.666i | −0.524716 | − | 0.372824i | ||||
\(153\) | −778.279 | + | 1364.17i | −0.411243 | + | 0.720826i | ||||
\(154\) | 621.008 | − | 1552.77i | 0.324949 | − | 0.812503i | ||||
\(155\) | 528.381 | − | 2996.60i | 0.273810 | − | 1.55286i | ||||
\(156\) | 357.534 | − | 2406.90i | 0.183498 | − | 1.23530i | ||||
\(157\) | 658.007 | + | 239.495i | 0.334488 | + | 0.121744i | 0.503804 | − | 0.863818i | \(-0.331933\pi\) |
−0.169316 | + | 0.985562i | \(0.554156\pi\) | |||||||
\(158\) | −607.105 | − | 1846.33i | −0.305688 | − | 0.929659i | ||||
\(159\) | −2321.31 | + | 628.393i | −1.15781 | + | 0.313426i | ||||
\(160\) | 2743.72 | − | 48.3086i | 1.35569 | − | 0.0238696i | ||||
\(161\) | − | 130.708i | − | 0.0639829i | ||||||
\(162\) | 993.051 | + | 1807.04i | 0.481614 | + | 0.876383i | ||||
\(163\) | − | 458.126i | − | 0.220142i | −0.993924 | − | 0.110071i | \(-0.964892\pi\) | ||
0.993924 | − | 0.110071i | \(-0.0351079\pi\) | |||||||
\(164\) | 982.980 | − | 2250.32i | 0.468035 | − | 1.07147i | ||||
\(165\) | 4803.14 | − | 1300.24i | 2.26620 | − | 0.613476i | ||||
\(166\) | −3139.15 | + | 1032.21i | −1.46774 | + | 0.482619i | ||||
\(167\) | 1839.74 | + | 669.612i | 0.852477 | + | 0.310276i | 0.731050 | − | 0.682324i | \(-0.239031\pi\) |
0.121427 | + | 0.992600i | \(0.461253\pi\) | |||||||
\(168\) | −4.75367 | + | 1100.46i | −0.00218306 | + | 0.505372i | ||||
\(169\) | 213.501 | − | 1210.82i | 0.0971784 | − | 0.551126i | ||||
\(170\) | −2315.79 | − | 926.169i | −1.04478 | − | 0.417846i | ||||
\(171\) | 1439.33 | − | 7.39973i | 0.643672 | − | 0.00330919i | ||||
\(172\) | 2942.44 | − | 3090.25i | 1.30441 | − | 1.36994i | ||||
\(173\) | −205.598 | − | 564.876i | −0.0903546 | − | 0.248247i | 0.886282 | − | 0.463147i | \(-0.153280\pi\) |
−0.976636 | + | 0.214900i | \(0.931058\pi\) | |||||||
\(174\) | 233.945 | − | 153.960i | 0.101927 | − | 0.0670787i | ||||
\(175\) | −630.554 | − | 751.465i | −0.272374 | − | 0.324602i | ||||
\(176\) | 1195.06 | − | 3862.28i | 0.511825 | − | 1.65415i | ||||
\(177\) | 26.3629 | − | 310.520i | 0.0111952 | − | 0.131865i | ||||
\(178\) | 328.705 | − | 176.263i | 0.138413 | − | 0.0742217i | ||||
\(179\) | 2322.51 | + | 4022.71i | 0.969792 | + | 1.67973i | 0.696149 | + | 0.717897i | \(0.254895\pi\) |
0.273643 | + | 0.961831i | \(0.411771\pi\) | |||||||
\(180\) | −2625.43 | + | 1956.79i | −1.08715 | + | 0.810282i | ||||
\(181\) | −214.860 | + | 372.149i | −0.0882345 | + | 0.152827i | −0.906765 | − | 0.421637i | \(-0.861456\pi\) |
0.818530 | + | 0.574463i | \(0.194789\pi\) | |||||||
\(182\) | −48.6286 | + | 1548.89i | −0.0198054 | + | 0.630830i | ||||
\(183\) | −1343.21 | + | 120.996i | −0.542585 | + | 0.0488758i | ||||
\(184\) | −25.3708 | − | 314.971i | −0.0101650 | − | 0.126195i | ||||
\(185\) | −3026.44 | + | 533.644i | −1.20275 | + | 0.212077i | ||||
\(186\) | 2930.15 | + | 341.672i | 1.15510 | + | 0.134691i | ||||
\(187\) | −2361.99 | + | 2814.90i | −0.923666 | + | 1.10078i | ||||
\(188\) | 1765.89 | − | 519.846i | 0.685056 | − | 0.201668i | ||||
\(189\) | −761.454 | − | 1069.81i | −0.293056 | − | 0.411733i | ||||
\(190\) | 326.082 | + | 2262.37i | 0.124508 | + | 0.863839i | ||||
\(191\) | −2871.87 | − | 2409.79i | −1.08796 | − | 0.912911i | −0.0914072 | − | 0.995814i | \(-0.529136\pi\) |
−0.996558 | + | 0.0829027i | \(0.973581\pi\) | |||||||
\(192\) | 202.148 | + | 2652.74i | 0.0759833 | + | 0.997109i | ||||
\(193\) | −104.384 | − | 591.990i | −0.0389311 | − | 0.220789i | 0.959135 | − | 0.282948i | \(-0.0913125\pi\) |
−0.998066 | + | 0.0621590i | \(0.980201\pi\) | |||||||
\(194\) | −626.300 | + | 2998.39i | −0.231782 | + | 1.10965i | ||||
\(195\) | −3770.25 | + | 2654.43i | −1.38458 | + | 0.974807i | ||||
\(196\) | 227.873 | + | 2030.42i | 0.0830440 | + | 0.739949i | ||||
\(197\) | −3634.87 | − | 2098.59i | −1.31459 | − | 0.758977i | −0.331735 | − | 0.943373i | \(-0.607634\pi\) |
−0.982852 | + | 0.184395i | \(0.940967\pi\) | |||||||
\(198\) | 1530.45 | + | 4575.02i | 0.549315 | + | 1.64208i | ||||
\(199\) | −1837.33 | + | 1060.79i | −0.654498 | + | 0.377875i | −0.790177 | − | 0.612878i | \(-0.790012\pi\) |
0.135679 | + | 0.990753i | \(0.456678\pi\) | |||||||
\(200\) | −1665.32 | − | 1688.43i | −0.588781 | − | 0.596951i | ||||
\(201\) | −740.046 | + | 1062.70i | −0.259696 | + | 0.372920i | ||||
\(202\) | 2351.19 | − | 2629.83i | 0.818958 | − | 0.916010i | ||||
\(203\) | −136.629 | + | 114.645i | −0.0472388 | + | 0.0396380i | ||||
\(204\) | 765.224 | − | 2293.76i | 0.262629 | − | 0.787233i | ||||
\(205\) | −4372.64 | + | 1591.51i | −1.48975 | + | 0.542224i | ||||
\(206\) | 338.596 | + | 430.252i | 0.114520 | + | 0.145520i | ||||
\(207\) | 243.847 | + | 287.590i | 0.0818771 | + | 0.0965648i | ||||
\(208\) | 183.462 | + | 3741.83i | 0.0611576 | + | 1.24735i | ||||
\(209\) | 3316.43 | + | 584.775i | 1.09762 | + | 0.193540i | ||||
\(210\) | 1516.41 | − | 1431.44i | 0.498297 | − | 0.470377i | ||||
\(211\) | 1727.44 | − | 4746.10i | 0.563610 | − | 1.54851i | −0.250693 | − | 0.968067i | \(-0.580659\pi\) |
0.814303 | − | 0.580439i | \(-0.197119\pi\) | |||||||
\(212\) | 3316.30 | − | 1646.47i | 1.07436 | − | 0.533398i | ||||
\(213\) | 3909.73 | − | 3929.89i | 1.25770 | − | 1.26419i | ||||
\(214\) | 869.935 | − | 1403.16i | 0.277886 | − | 0.448214i | ||||
\(215\) | −8085.71 | −2.56484 | ||||||||
\(216\) | −2042.55 | − | 2430.16i | −0.643417 | − | 0.765516i | ||||
\(217\) | −1878.70 | −0.587717 | ||||||||
\(218\) | −2414.15 | + | 3893.89i | −0.750032 | + | 1.20976i | ||||
\(219\) | 2296.81 | + | 609.105i | 0.708694 | + | 0.187943i | ||||
\(220\) | −6861.91 | + | 3406.80i | −2.10286 | + | 1.04403i | ||||
\(221\) | 1164.58 | − | 3199.65i | 0.354471 | − | 0.973901i | ||||
\(222\) | −687.886 | − | 2898.88i | −0.207963 | − | 0.876397i | ||||
\(223\) | 1109.23 | + | 195.586i | 0.333091 | + | 0.0587329i | 0.337692 | − | 0.941257i | \(-0.390354\pi\) |
−0.00460170 | + | 0.999989i | \(0.501465\pi\) | |||||||
\(224\) | −323.538 | − | 1663.11i | −0.0965058 | − | 0.496077i | ||||
\(225\) | 2789.30 | + | 477.056i | 0.826459 | + | 0.141350i | ||||
\(226\) | 1201.32 | + | 1526.52i | 0.353588 | + | 0.449302i | ||||
\(227\) | 2880.72 | − | 1048.50i | 0.842292 | − | 0.306569i | 0.115398 | − | 0.993319i | \(-0.463186\pi\) |
0.726894 | + | 0.686750i | \(0.240963\pi\) | |||||||
\(228\) | −2171.14 | + | 443.726i | −0.630645 | + | 0.128888i | ||||
\(229\) | −2205.73 | + | 1850.83i | −0.636502 | + | 0.534088i | −0.902942 | − | 0.429763i | \(-0.858597\pi\) |
0.266440 | + | 0.963852i | \(0.414153\pi\) | |||||||
\(230\) | −399.092 | + | 446.388i | −0.114415 | + | 0.127974i | ||||
\(231\) | −1305.56 | − | 2781.10i | −0.371859 | − | 0.792133i | ||||
\(232\) | −306.985 | + | 302.784i | −0.0868732 | + | 0.0856842i | ||||
\(233\) | 3129.05 | − | 1806.56i | 0.879791 | − | 0.507947i | 0.00920121 | − | 0.999958i | \(-0.497071\pi\) |
0.870589 | + | 0.492010i | \(0.163738\pi\) | |||||||
\(234\) | −2782.59 | − | 3498.65i | −0.777365 | − | 0.977411i | ||||
\(235\) | −3020.87 | − | 1744.10i | −0.838554 | − | 0.484139i | ||||
\(236\) | 53.5114 | + | 476.803i | 0.0147597 | + | 0.131514i | ||||
\(237\) | −3239.92 | − | 1500.67i | −0.887998 | − | 0.411304i | ||||
\(238\) | −314.863 | + | 1507.39i | −0.0857543 | + | 0.410545i | ||||
\(239\) | 461.133 | + | 2615.21i | 0.124804 | + | 0.707799i | 0.981424 | + | 0.191851i | \(0.0614491\pi\) |
−0.856620 | + | 0.515948i | \(0.827440\pi\) | |||||||
\(240\) | 3376.29 | − | 3743.73i | 0.908077 | − | 1.00690i | ||||
\(241\) | 4453.69 | + | 3737.09i | 1.19040 | + | 0.998867i | 0.999852 | + | 0.0171902i | \(0.00547209\pi\) |
0.190552 | + | 0.981677i | \(0.438972\pi\) | |||||||
\(242\) | 1073.14 | + | 7445.49i | 0.285059 | + | 1.97774i | ||||
\(243\) | 3671.22 | + | 933.299i | 0.969172 | + | 0.246383i | ||||
\(244\) | 1991.87 | − | 586.370i | 0.522608 | − | 0.153846i | ||||
\(245\) | 2488.65 | − | 2965.85i | 0.648954 | − | 0.773393i | ||||
\(246\) | −1787.97 | − | 4141.87i | −0.463403 | − | 1.07348i | ||||
\(247\) | −3073.11 | + | 541.872i | −0.791649 | + | 0.139589i | ||||
\(248\) | −4527.16 | + | 364.662i | −1.15917 | + | 0.0933712i | ||||
\(249\) | −2551.46 | + | 5508.55i | −0.649366 | + | 1.40197i | ||||
\(250\) | 27.1692 | − | 865.377i | 0.00687334 | − | 0.218925i | ||||
\(251\) | 995.020 | − | 1723.43i | 0.250220 | − | 0.433393i | −0.713367 | − | 0.700791i | \(-0.752831\pi\) |
0.963586 | + | 0.267398i | \(0.0861639\pi\) | |||||||
\(252\) | 1471.29 | + | 1386.57i | 0.367788 | + | 0.346609i | ||||
\(253\) | 441.091 | + | 763.991i | 0.109609 | + | 0.189849i | ||||
\(254\) | 306.419 | − | 164.312i | 0.0756946 | − | 0.0405900i | ||||
\(255\) | −4147.72 | + | 1947.11i | −1.01859 | + | 0.478167i | ||||
\(256\) | −1102.45 | − | 3944.85i | −0.269154 | − | 0.963097i | ||||
\(257\) | −1012.27 | − | 1206.37i | −0.245694 | − | 0.292807i | 0.629077 | − | 0.777343i | \(-0.283433\pi\) |
−0.874771 | + | 0.484536i | \(0.838988\pi\) | |||||||
\(258\) | −457.942 | − | 7825.66i | −0.110505 | − | 1.88839i | ||||
\(259\) | 648.953 | + | 1782.98i | 0.155691 | + | 0.427758i | ||||
\(260\) | 4895.30 | − | 5141.20i | 1.16767 | − | 1.22632i | ||||
\(261\) | 86.7368 | − | 507.141i | 0.0205704 | − | 0.120273i | ||||
\(262\) | 3923.58 | + | 1569.18i | 0.925189 | + | 0.370017i | ||||
\(263\) | 598.071 | − | 3391.83i | 0.140223 | − | 0.795245i | −0.830856 | − | 0.556487i | \(-0.812149\pi\) |
0.971079 | − | 0.238757i | \(-0.0767401\pi\) | |||||||
\(264\) | −3685.86 | − | 6448.27i | −0.859277 | − | 1.50327i | ||||
\(265\) | −6592.89 | − | 2399.62i | −1.52829 | − | 0.556254i | ||||
\(266\) | 1340.65 | − | 440.828i | 0.309024 | − | 0.101612i | ||||
\(267\) | 175.644 | − | 662.318i | 0.0402593 | − | 0.151810i | ||||
\(268\) | 798.091 | − | 1827.06i | 0.181907 | − | 0.416439i | ||||
\(269\) | 3253.42i | 0.737415i | 0.929546 | + | 0.368707i | \(0.120200\pi\) | ||||
−0.929546 | + | 0.368707i | \(0.879800\pi\) | |||||||
\(270\) | −665.995 | + | 5978.53i | −0.150116 | + | 1.34756i | ||||
\(271\) | − | 3801.58i | − | 0.852140i | −0.904690 | − | 0.426070i | \(-0.859898\pi\) | ||
0.904690 | − | 0.426070i | \(-0.140102\pi\) | |||||||
\(272\) | −466.144 | + | 3693.52i | −0.103912 | + | 0.823355i | ||||
\(273\) | 2018.22 | + | 2007.87i | 0.447429 | + | 0.445135i | ||||
\(274\) | −792.948 | − | 2411.52i | −0.174831 | − | 0.531697i | ||||
\(275\) | 6221.51 | + | 2264.44i | 1.36426 | + | 0.496550i | ||||
\(276\) | −454.634 | − | 360.975i | −0.0991512 | − | 0.0787251i | ||||
\(277\) | 391.994 | − | 2223.11i | 0.0850275 | − | 0.482215i | −0.912323 | − | 0.409471i | \(-0.865713\pi\) |
0.997351 | − | 0.0727439i | \(-0.0231756\pi\) | |||||||
\(278\) | −998.201 | + | 2495.90i | −0.215353 | + | 0.538468i | ||||
\(279\) | 4133.61 | − | 3504.88i | 0.887000 | − | 0.752086i | ||||
\(280\) | −1859.57 | + | 2617.18i | −0.396896 | + | 0.558594i | ||||
\(281\) | −300.745 | − | 826.291i | −0.0638469 | − | 0.175418i | 0.903667 | − | 0.428236i | \(-0.140865\pi\) |
−0.967514 | + | 0.252818i | \(0.918643\pi\) | |||||||
\(282\) | 1516.92 | − | 3022.50i | 0.320323 | − | 0.638252i | ||||
\(283\) | 3721.04 | + | 4434.56i | 0.781599 | + | 0.931474i | 0.999005 | − | 0.0446077i | \(-0.0142038\pi\) |
−0.217405 | + | 0.976081i | \(0.569759\pi\) | |||||||
\(284\) | −4722.61 | + | 7109.04i | −0.986745 | + | 1.48537i | ||||
\(285\) | 3445.95 | + | 2399.70i | 0.716212 | + | 0.498758i | ||||
\(286\) | −4942.67 | − | 9217.37i | −1.02191 | − | 1.90571i | ||||
\(287\) | 1436.51 | + | 2488.11i | 0.295451 | + | 0.511737i | ||||
\(288\) | 3814.54 | + | 3055.67i | 0.780466 | + | 0.625198i | ||||
\(289\) | −764.682 | + | 1324.47i | −0.155645 | + | 0.269585i | ||||
\(290\) | 816.656 | + | 25.6396i | 0.165364 | + | 0.00519176i | ||||
\(291\) | 3239.51 | + | 4601.28i | 0.652589 | + | 0.926913i | ||||
\(292\) | −3651.20 | − | 229.491i | −0.731748 | − | 0.0459930i | ||||
\(293\) | 2307.70 | − | 406.910i | 0.460127 | − | 0.0811328i | 0.0612203 | − | 0.998124i | \(-0.480501\pi\) |
0.398907 | + | 0.916991i | \(0.369390\pi\) | |||||||
\(294\) | 3011.41 | + | 2240.63i | 0.597378 | + | 0.444477i | ||||
\(295\) | 584.409 | − | 696.471i | 0.115341 | − | 0.137458i | ||||
\(296\) | 1909.88 | + | 4170.54i | 0.375033 | + | 0.818945i | ||||
\(297\) | 8060.93 | + | 3683.47i | 1.57489 | + | 0.719651i | ||||
\(298\) | −8505.18 | + | 1225.88i | −1.65333 | + | 0.238300i | ||||
\(299\) | −626.209 | − | 525.452i | −0.121119 | − | 0.101631i | ||||
\(300\) | −4355.17 | + | 117.905i | −0.838152 | + | 0.0226909i | ||||
\(301\) | 866.900 | + | 4916.43i | 0.166004 | + | 0.941457i | ||||
\(302\) | −6679.16 | − | 1395.14i | −1.27266 | − | 0.265831i | ||||
\(303\) | −581.420 | − | 6454.52i | −0.110237 | − | 1.22377i | ||||
\(304\) | 3145.03 | − | 1322.50i | 0.593355 | − | 0.249508i | ||||
\(305\) | −3407.45 | − | 1967.29i | −0.639706 | − | 0.369334i | ||||
\(306\) | −2119.39 | − | 3904.04i | −0.395940 | − | 0.729343i | ||||
\(307\) | 4021.66 | − | 2321.91i | 0.747649 | − | 0.431656i | −0.0771946 | − | 0.997016i | \(-0.524596\pi\) |
0.824844 | + | 0.565361i | \(0.191263\pi\) | |||||||
\(308\) | 2807.16 | + | 3807.06i | 0.519328 | + | 0.704310i | ||||
\(309\) | 1002.23 | + | 85.0884i | 0.184514 | + | 0.0156651i | ||||
\(310\) | 6416.05 | + | 5736.26i | 1.17551 | + | 1.05096i | ||||
\(311\) | 6326.75 | − | 5308.77i | 1.15356 | − | 0.967951i | 0.153763 | − | 0.988108i | \(-0.450861\pi\) |
0.999797 | + | 0.0201566i | \(0.00641649\pi\) | |||||||
\(312\) | 5253.10 | + | 4446.68i | 0.953199 | + | 0.806871i | ||||
\(313\) | −8933.85 | + | 3251.65i | −1.61333 | + | 0.587202i | −0.982094 | − | 0.188392i | \(-0.939672\pi\) |
−0.631232 | + | 0.775594i | \(0.717450\pi\) | |||||||
\(314\) | −1556.40 | + | 1224.85i | −0.279723 | + | 0.220134i | ||||
\(315\) | −19.6952 | − | 3830.92i | −0.00352285 | − | 0.685231i | ||||
\(316\) | 5343.22 | + | 1292.32i | 0.951201 | + | 0.230059i | ||||
\(317\) | 1415.18 | + | 249.535i | 0.250740 | + | 0.0442122i | 0.297605 | − | 0.954689i | \(-0.403812\pi\) |
−0.0468655 | + | 0.998901i | \(0.514923\pi\) | |||||||
\(318\) | 1949.04 | − | 6516.75i | 0.343701 | − | 1.14919i | ||||
\(319\) | 411.714 | − | 1131.17i | 0.0722619 | − | 0.198538i | ||||
\(320\) | −3973.06 | + | 6667.64i | −0.694066 | + | 1.16479i | ||||
\(321\) | −792.523 | − | 2927.61i | −0.137802 | − | 0.509045i | ||||
\(322\) | 314.210 | + | 194.805i | 0.0543796 | + | 0.0337145i | ||||
\(323\) | −3100.94 | −0.534182 | ||||||||
\(324\) | −5823.97 | − | 305.975i | −0.998623 | − | 0.0524649i | ||||
\(325\) | −6135.04 | −1.04711 | ||||||||
\(326\) | 1101.29 | + | 682.784i | 0.187101 | + | 0.116000i | ||||
\(327\) | 2199.33 | + | 8124.40i | 0.371936 | + | 1.37395i | ||||
\(328\) | 3944.55 | + | 5716.83i | 0.664028 | + | 0.962376i | ||||
\(329\) | −736.605 | + | 2023.80i | −0.123436 | + | 0.339137i | ||||
\(330\) | −4032.86 | + | 13484.1i | −0.672733 | + | 2.24933i | ||||
\(331\) | 976.067 | + | 172.107i | 0.162083 | + | 0.0285796i | 0.254101 | − | 0.967178i | \(-0.418221\pi\) |
−0.0920177 | + | 0.995757i | \(0.529332\pi\) | |||||||
\(332\) | 2197.21 | − | 9084.60i | 0.363216 | − | 1.50175i | ||||
\(333\) | −4754.17 | − | 2712.33i | −0.782363 | − | 0.446351i | ||||
\(334\) | −4351.61 | + | 3424.59i | −0.712903 | + | 0.561034i | ||||
\(335\) | −3550.19 | + | 1292.16i | −0.579008 | + | 0.210742i | ||||
\(336\) | −2638.32 | − | 1651.54i | −0.428370 | − | 0.268151i | ||||
\(337\) | 2064.80 | − | 1732.58i | 0.333760 | − | 0.280058i | −0.460470 | − | 0.887675i | \(-0.652319\pi\) |
0.794230 | + | 0.607618i | \(0.207875\pi\) | |||||||
\(338\) | 2592.51 | + | 2317.83i | 0.417201 | + | 0.372998i | ||||
\(339\) | 3555.87 | + | 301.890i | 0.569700 | + | 0.0483670i | ||||
\(340\) | 5677.84 | − | 4186.59i | 0.905659 | − | 0.667794i | ||||
\(341\) | 10981.1 | − | 6339.91i | 1.74386 | − | 1.00682i | ||||
\(342\) | −2127.36 | + | 3471.03i | −0.336358 | + | 0.548806i | ||||
\(343\) | −4850.45 | − | 2800.41i | −0.763555 | − | 0.440839i | ||||
\(344\) | 3043.29 | + | 11679.0i | 0.476986 | + | 1.83049i | ||||
\(345\) | 98.6903 | + | 1095.59i | 0.0154009 | + | 0.170970i | ||||
\(346\) | 1664.33 | + | 347.644i | 0.258598 | + | 0.0540157i | ||||
\(347\) | 968.098 | + | 5490.36i | 0.149770 | + | 0.849389i | 0.963413 | + | 0.268023i | \(0.0863703\pi\) |
−0.813642 | + | 0.581366i | \(0.802519\pi\) | |||||||
\(348\) | 21.4371 | + | 791.842i | 0.00330216 | + | 0.121975i | ||||
\(349\) | −3668.78 | − | 3078.47i | −0.562709 | − | 0.472169i | 0.316508 | − | 0.948590i | \(-0.397489\pi\) |
−0.879217 | + | 0.476421i | \(0.841934\pi\) | |||||||
\(350\) | 2746.22 | − | 395.821i | 0.419404 | − | 0.0604501i | ||||
\(351\) | −8186.45 | − | 652.649i | −1.24490 | − | 0.0992474i | ||||
\(352\) | 7503.46 | + | 8629.10i | 1.13618 | + | 1.30663i | ||||
\(353\) | −396.883 | + | 472.987i | −0.0598412 | + | 0.0713160i | −0.795135 | − | 0.606433i | \(-0.792600\pi\) |
0.735293 | + | 0.677749i | \(0.237044\pi\) | |||||||
\(354\) | 707.170 | + | 526.168i | 0.106174 | + | 0.0789986i | ||||
\(355\) | 15927.0 | − | 2808.35i | 2.38117 | − | 0.419865i | ||||
\(356\) | −66.1771 | + | 1052.87i | −0.00985218 | + | 0.156748i | ||||
\(357\) | 1628.61 | + | 2313.22i | 0.241443 | + | 0.342937i | ||||
\(358\) | −13131.6 | − | 412.279i | −1.93863 | − | 0.0608649i | ||||
\(359\) | −1335.22 | + | 2312.67i | −0.196296 | + | 0.339994i | −0.947324 | − | 0.320275i | \(-0.896225\pi\) |
0.751029 | + | 0.660269i | \(0.229558\pi\) | |||||||
\(360\) | −791.053 | − | 9227.64i | −0.115811 | − | 1.35094i | ||||
\(361\) | −2008.57 | − | 3478.95i | −0.292838 | − | 0.507209i | ||||
\(362\) | −574.386 | − | 1071.15i | −0.0833952 | − | 0.155520i | ||||
\(363\) | 11340.7 | + | 7897.46i | 1.63976 | + | 1.14190i | ||||
\(364\) | −3650.90 | − | 2425.33i | −0.525712 | − | 0.349236i | ||||
\(365\) | 4456.06 | + | 5310.53i | 0.639016 | + | 0.761550i | ||||
\(366\) | 1711.04 | − | 3409.28i | 0.244364 | − | 0.486902i | ||||
\(367\) | −269.268 | − | 739.808i | −0.0382988 | − | 0.105225i | 0.919069 | − | 0.394096i | \(-0.128942\pi\) |
−0.957368 | + | 0.288871i | \(0.906720\pi\) | |||||||
\(368\) | 794.972 | + | 408.438i | 0.112611 | + | 0.0578568i | ||||
\(369\) | −7802.47 | − | 2794.52i | −1.10076 | − | 0.394247i | ||||
\(370\) | 3227.73 | − | 8070.61i | 0.453518 | − | 1.13398i | ||||
\(371\) | −752.213 | + | 4266.01i | −0.105264 | + | 0.596982i | ||||
\(372\) | −5188.39 | + | 6534.57i | −0.723133 | + | 0.910758i | ||||
\(373\) | −1529.41 | − | 556.660i | −0.212305 | − | 0.0772728i | 0.233678 | − | 0.972314i | \(-0.424924\pi\) |
−0.445984 | + | 0.895041i | \(0.647146\pi\) | |||||||
\(374\) | −3246.50 | − | 9873.27i | −0.448857 | − | 1.36507i | ||||
\(375\) | −1127.60 | − | 1121.82i | −0.155277 | − | 0.154481i | ||||
\(376\) | −1382.19 | + | 5019.80i | −0.189577 | + | 0.688500i | ||||
\(377\) | 1115.45i | 0.152384i | ||||||||
\(378\) | 3706.59 | − | 236.030i | 0.504356 | − | 0.0321165i | ||||
\(379\) | − | 4570.49i | − | 0.619447i | −0.950827 | − | 0.309724i | \(-0.899763\pi\) | ||
0.950827 | − | 0.309724i | \(-0.100237\pi\) | |||||||
\(380\) | −5924.50 | − | 2587.92i | −0.799791 | − | 0.349362i | ||||
\(381\) | 163.735 | − | 617.412i | 0.0220168 | − | 0.0830210i | ||||
\(382\) | 10073.1 | − | 3312.20i | 1.34917 | − | 0.443631i | ||||
\(383\) | 7161.59 | + | 2606.61i | 0.955457 | + | 0.347758i | 0.772252 | − | 0.635317i | \(-0.219130\pi\) |
0.183205 | + | 0.983075i | \(0.441353\pi\) | |||||||
\(384\) | −6678.21 | − | 3467.65i | −0.887490 | − | 0.460828i | ||||
\(385\) | 1556.44 | − | 8827.02i | 0.206035 | − | 1.16848i | ||||
\(386\) | 1578.66 | + | 631.363i | 0.208165 | + | 0.0832526i | ||||
\(387\) | −11079.4 | − | 9200.10i | −1.45530 | − | 1.20844i | ||||
\(388\) | −6274.41 | − | 5974.31i | −0.820966 | − | 0.781700i | ||||
\(389\) | −1460.10 | − | 4011.58i | −0.190308 | − | 0.522867i | 0.807439 | − | 0.589951i | \(-0.200853\pi\) |
−0.997747 | + | 0.0670836i | \(0.978631\pi\) | |||||||
\(390\) | −761.873 | − | 13019.4i | −0.0989203 | − | 1.69042i | ||||
\(391\) | −522.154 | − | 622.279i | −0.0675358 | − | 0.0804860i | ||||
\(392\) | −5220.55 | − | 2478.32i | −0.672647 | − | 0.319321i | ||||
\(393\) | 7027.36 | − | 3298.93i | 0.901993 | − | 0.423432i | ||||
\(394\) | 10462.2 | − | 5610.17i | 1.33776 | − | 0.717351i | ||||
\(395\) | −5208.47 | − | 9021.33i | −0.663459 | − | 1.14915i | ||||
\(396\) | −13278.9 | − | 3139.47i | −1.68507 | − | 0.398395i | ||||
\(397\) | 396.638 | − | 686.998i | 0.0501428 | − | 0.0868499i | −0.839865 | − | 0.542796i | \(-0.817366\pi\) |
0.890007 | + | 0.455946i | \(0.150699\pi\) | |||||||
\(398\) | 188.305 | − | 5997.75i | 0.0237157 | − | 0.755377i | ||||
\(399\) | 1089.66 | − | 2352.56i | 0.136720 | − | 0.295176i | ||||
\(400\) | 6540.80 | − | 1486.87i | 0.817600 | − | 0.185859i | ||||
\(401\) | 3089.21 | − | 544.711i | 0.384708 | − | 0.0678344i | 0.0220504 | − | 0.999757i | \(-0.492981\pi\) |
0.362658 | + | 0.931922i | \(0.381869\pi\) | |||||||
\(402\) | −1451.67 | − | 3362.83i | −0.180107 | − | 0.417221i | ||||
\(403\) | −7552.46 | + | 9000.67i | −0.933535 | + | 1.11254i | ||||
\(404\) | 2817.68 | + | 9571.50i | 0.346992 | + | 1.17871i | ||||
\(405\) | 7190.24 | + | 8392.23i | 0.882188 | + | 1.02966i | ||||
\(406\) | −71.9669 | − | 499.308i | −0.00879718 | − | 0.0610351i | ||||
\(407\) | −9810.04 | − | 8231.60i | −1.19476 | − | 1.00252i | ||||
\(408\) | 4373.51 | + | 5258.11i | 0.530689 | + | 0.638028i | ||||
\(409\) | 1647.08 | + | 9341.04i | 0.199127 | + | 1.12930i | 0.906418 | + | 0.422381i | \(0.138806\pi\) |
−0.707292 | + | 0.706922i | \(0.750083\pi\) | |||||||
\(410\) | 2691.07 | − | 12883.4i | 0.324152 | − | 1.55187i | ||||
\(411\) | −4231.70 | − | 1960.05i | −0.507870 | − | 0.235236i | ||||
\(412\) | −1538.92 | + | 172.713i | −0.184023 | + | 0.0206528i | ||||
\(413\) | −486.139 | − | 280.673i | −0.0579209 | − | 0.0334407i | ||||
\(414\) | −1054.77 | + | 157.566i | −0.125215 | + | 0.0187052i | ||||
\(415\) | −15338.2 | + | 8855.49i | −1.81427 | + | 1.04747i | ||||
\(416\) | −9268.43 | − | 5135.74i | −1.09236 | − | 0.605289i | ||||
\(417\) | 2098.54 | + | 4470.30i | 0.246441 | + | 0.524968i | ||||
\(418\) | −6348.49 | + | 7100.83i | −0.742858 | + | 0.830893i | ||||
\(419\) | −5196.25 | + | 4360.17i | −0.605856 | + | 0.508373i | −0.893322 | − | 0.449417i | \(-0.851632\pi\) |
0.287466 | + | 0.957791i | \(0.407187\pi\) | |||||||
\(420\) | 1181.02 | + | 5778.71i | 0.137210 | + | 0.671362i | ||||
\(421\) | −418.761 | + | 152.417i | −0.0484779 | + | 0.0176445i | −0.366145 | − | 0.930558i | \(-0.619323\pi\) |
0.317667 | + | 0.948202i | \(0.397100\pi\) | |||||||
\(422\) | 8834.62 | + | 11226.1i | 1.01911 | + | 1.29497i | ||||
\(423\) | −2154.87 | − | 5827.07i | −0.247691 | − | 0.669792i | ||||
\(424\) | −984.583 | + | 10425.9i | −0.112773 | + | 1.19417i | ||||
\(425\) | −6003.92 | − | 1058.65i | −0.685254 | − | 0.120829i | ||||
\(426\) | 3620.07 | + | 15255.7i | 0.411721 | + | 1.73507i | ||||
\(427\) | −830.868 | + | 2282.79i | −0.0941651 | + | 0.258717i | ||||
\(428\) | 2076.52 | + | 4182.48i | 0.234515 | + | 0.472355i | ||||
\(429\) | −18572.3 | − | 4925.31i | −2.09017 | − | 0.554304i | ||||
\(430\) | 12050.8 | − | 19437.3i | 1.35149 | − | 2.17988i | ||||
\(431\) | 8404.19 | 0.939247 | 0.469624 | − | 0.882867i | \(-0.344390\pi\) | ||||
0.469624 | + | 0.882867i | \(0.344390\pi\) | |||||||
\(432\) | 8886.06 | − | 1288.23i | 0.989654 | − | 0.143472i | ||||
\(433\) | 10685.9 | 1.18599 | 0.592993 | − | 0.805208i | \(-0.297946\pi\) | ||||
0.592993 | + | 0.805208i | \(0.297946\pi\) | |||||||
\(434\) | 2799.99 | − | 4516.22i | 0.309686 | − | 0.499506i | ||||
\(435\) | 1058.66 | − | 1064.11i | 0.116687 | − | 0.117288i | ||||
\(436\) | −5762.53 | − | 11606.8i | −0.632971 | − | 1.27492i | ||||
\(437\) | −254.620 | + | 699.562i | −0.0278721 | + | 0.0765781i | ||||
\(438\) | −4887.36 | + | 4613.51i | −0.533166 | + | 0.503293i | ||||
\(439\) | −2048.91 | − | 361.277i | −0.222754 | − | 0.0392775i | 0.0611572 | − | 0.998128i | \(-0.480521\pi\) |
−0.283911 | + | 0.958851i | \(0.591632\pi\) | |||||||
\(440\) | 2037.25 | − | 21572.8i | 0.220732 | − | 2.33737i | ||||
\(441\) | 6784.68 | − | 1232.32i | 0.732607 | − | 0.133066i | ||||
\(442\) | 5956.00 | + | 7568.25i | 0.640945 | + | 0.814445i | ||||
\(443\) | 490.463 | − | 178.514i | 0.0526018 | − | 0.0191455i | −0.315585 | − | 0.948897i | \(-0.602201\pi\) |
0.368187 | + | 0.929752i | \(0.379979\pi\) | |||||||
\(444\) | 7993.85 | + | 2666.83i | 0.854440 | + | 0.285050i | ||||
\(445\) | 1531.37 | − | 1284.97i | 0.163132 | − | 0.136884i | ||||
\(446\) | −2123.34 | + | 2374.97i | −0.225433 | + | 0.252149i | ||||
\(447\) | −9021.49 | + | 12954.8i | −0.954590 | + | 1.37078i | ||||
\(448\) | 4480.16 | + | 1700.92i | 0.472472 | + | 0.179377i | ||||
\(449\) | −7005.08 | + | 4044.38i | −0.736281 | + | 0.425092i | −0.820715 | − | 0.571337i | \(-0.806425\pi\) |
0.0844347 | + | 0.996429i | \(0.473092\pi\) | |||||||
\(450\) | −5303.92 | + | 5994.21i | −0.555620 | + | 0.627933i | ||||
\(451\) | −16792.9 | − | 9695.36i | −1.75331 | − | 1.01228i | ||||
\(452\) | −5460.03 | + | 612.777i | −0.568182 | + | 0.0637668i | ||||
\(453\) | −10249.7 | + | 7216.28i | −1.06308 | + | 0.748455i | ||||
\(454\) | −1772.89 | + | 8487.65i | −0.183273 | + | 0.877412i | ||||
\(455\) | 1442.25 | + | 8179.40i | 0.148602 | + | 0.842761i | ||||
\(456\) | 2169.15 | − | 5880.53i | 0.222763 | − | 0.603905i | ||||
\(457\) | 10880.4 | + | 9129.76i | 1.11371 | + | 0.934513i | 0.998270 | − | 0.0588017i | \(-0.0187280\pi\) |
0.115439 | + | 0.993315i | \(0.463172\pi\) | |||||||
\(458\) | −1161.83 | − | 8060.81i | −0.118534 | − | 0.822395i | ||||
\(459\) | −7898.87 | − | 2051.34i | −0.803241 | − | 0.208602i | ||||
\(460\) | −478.273 | − | 1624.67i | −0.0484774 | − | 0.164675i | ||||
\(461\) | −5523.90 | + | 6583.13i | −0.558078 | + | 0.665091i | −0.969139 | − | 0.246517i | \(-0.920714\pi\) |
0.411061 | + | 0.911608i | \(0.365158\pi\) | |||||||
\(462\) | 8631.27 | + | 1006.46i | 0.869184 | + | 0.101352i | ||||
\(463\) | 7384.89 | − | 1302.16i | 0.741264 | − | 0.130705i | 0.209751 | − | 0.977755i | \(-0.432735\pi\) |
0.531513 | + | 0.847050i | \(0.321624\pi\) | |||||||
\(464\) | −270.338 | − | 1189.23i | −0.0270477 | − | 0.118984i | ||||
\(465\) | 15747.2 | − | 1418.50i | 1.57045 | − | 0.141466i | ||||
\(466\) | −320.690 | + | 10214.4i | −0.0318792 | + | 1.01539i | ||||
\(467\) | 1979.88 | − | 3429.26i | 0.196184 | − | 0.339801i | −0.751104 | − | 0.660184i | \(-0.770478\pi\) |
0.947288 | + | 0.320383i | \(0.103812\pi\) | |||||||
\(468\) | 12557.5 | − | 1474.74i | 1.24033 | − | 0.145662i | ||||
\(469\) | 1166.32 | + | 2020.12i | 0.114831 | + | 0.198892i | ||||
\(470\) | 8694.92 | − | 4662.51i | 0.853333 | − | 0.457587i | ||||
\(471\) | −307.801 | + | 3625.49i | −0.0301119 | + | 0.354679i | ||||
\(472\) | −1225.94 | − | 581.983i | −0.119552 | − | 0.0567541i | ||||
\(473\) | −21658.2 | − | 25811.2i | −2.10538 | − | 2.50909i | ||||
\(474\) | 8436.20 | − | 5551.88i | 0.817484 | − | 0.537988i | ||||
\(475\) | 1910.93 | + | 5250.23i | 0.184588 | + | 0.507152i | ||||
\(476\) | −3154.36 | − | 3003.49i | −0.303739 | − | 0.289212i | ||||
\(477\) | −6303.56 | − | 10789.6i | −0.605074 | − | 1.03569i | ||||
\(478\) | −6973.99 | − | 2789.15i | −0.667328 | − | 0.266889i | ||||
\(479\) | 1901.74 | − | 10785.3i | 0.181404 | − | 1.02880i | −0.749084 | − | 0.662475i | \(-0.769506\pi\) |
0.930489 | − | 0.366321i | \(-0.119383\pi\) | |||||||
\(480\) | 3967.61 | + | 13695.9i | 0.377283 | + | 1.30235i | ||||
\(481\) | 11150.9 | + | 4058.60i | 1.05704 | + | 0.384732i | ||||
\(482\) | −15621.3 | + | 5136.55i | −1.47621 | + | 0.485401i | ||||
\(483\) | 655.583 | − | 177.470i | 0.0617599 | − | 0.0167188i | ||||
\(484\) | −19497.6 | − | 8516.90i | −1.83111 | − | 0.799859i | ||||
\(485\) | 16417.2i | 1.53704i | ||||||||
\(486\) | −7715.09 | + | 7434.29i | −0.720089 | + | 0.693881i | ||||
\(487\) | 13593.2i | 1.26482i | 0.774633 | + | 0.632410i | \(0.217934\pi\) | ||||
−0.774633 | + | 0.632410i | \(0.782066\pi\) | |||||||
\(488\) | −1559.07 | + | 5662.18i | −0.144622 | + | 0.525235i | ||||
\(489\) | 2297.79 | − | 622.026i | 0.212494 | − | 0.0575235i | ||||
\(490\) | 3420.59 | + | 10402.7i | 0.315360 | + | 0.959076i | ||||
\(491\) | −16201.9 | − | 5897.01i | −1.48917 | − | 0.542012i | −0.535937 | − | 0.844258i | \(-0.680042\pi\) |
−0.953230 | + | 0.302246i | \(0.902264\pi\) | |||||||
\(492\) | 12621.4 | + | 1874.86i | 1.15654 | + | 0.171799i | ||||
\(493\) | −192.481 | + | 1091.61i | −0.0175840 | + | 0.0997238i | ||||
\(494\) | 3277.50 | − | 8195.06i | 0.298506 | − | 0.746383i | ||||
\(495\) | 13043.0 | + | 22325.3i | 1.18432 | + | 2.02717i | ||||
\(496\) | 5870.59 | − | 11426.3i | 0.531446 | − | 1.03439i | ||||
\(497\) | −3415.18 | − | 9383.14i | −0.308233 | − | 0.846864i | ||||
\(498\) | −9439.37 | − | 14343.3i | −0.849374 | − | 1.29064i | ||||
\(499\) | 9571.89 | + | 11407.3i | 0.858711 | + | 1.02337i | 0.999445 | + | 0.0333245i | \(0.0106095\pi\) |
−0.140733 | + | 0.990048i | \(0.544946\pi\) | |||||||
\(500\) | 2039.79 | + | 1355.06i | 0.182444 | + | 0.121200i | ||||
\(501\) | −860.591 | + | 10136.6i | −0.0767433 | + | 0.903936i | ||||
\(502\) | 2659.99 | + | 4960.50i | 0.236496 | + | 0.441032i | ||||
\(503\) | 2523.88 | + | 4371.49i | 0.223726 | + | 0.387505i | 0.955936 | − | 0.293574i | \(-0.0948446\pi\) |
−0.732210 | + | 0.681078i | \(0.761511\pi\) | |||||||
\(504\) | −5525.96 | + | 1470.32i | −0.488385 | + | 0.129947i | ||||
\(505\) | 9453.42 | − | 16373.8i | 0.833013 | − | 1.44282i | ||||
\(506\) | −2493.96 | − | 78.2999i | −0.219110 | − | 0.00687916i | ||||
\(507\) | 6362.92 | − | 573.168i | 0.557371 | − | 0.0502077i | ||||
\(508\) | −61.6903 | + | 981.490i | −0.00538792 | + | 0.0857216i | ||||
\(509\) | −3003.06 | + | 529.520i | −0.261509 | + | 0.0461112i | −0.302865 | − | 0.953033i | \(-0.597943\pi\) |
0.0413561 | + | 0.999144i | \(0.486832\pi\) | |||||||
\(510\) | 1501.02 | − | 12872.7i | 0.130326 | − | 1.11767i | ||||
\(511\) | 2751.26 | − | 3278.83i | 0.238177 | − | 0.283849i | ||||
\(512\) | 11126.1 | + | 3229.14i | 0.960370 | + | 0.278729i | ||||
\(513\) | 1991.37 | + | 7209.07i | 0.171387 | + | 0.620445i | ||||
\(514\) | 4408.66 | − | 635.435i | 0.378322 | − | 0.0545288i | ||||
\(515\) | 2247.92 | + | 1886.23i | 0.192340 | + | 0.161393i | ||||
\(516\) | 19494.6 | + | 10562.4i | 1.66319 | + | 0.901129i | ||||
\(517\) | −2524.11 | − | 14314.9i | −0.214720 | − | 1.21774i | ||||
\(518\) | −5253.31 | − | 1097.31i | −0.445593 | − | 0.0930752i | ||||
\(519\) | 2554.05 | − | 1798.17i | 0.216013 | − | 0.152083i | ||||
\(520\) | 5063.08 | + | 19430.2i | 0.426982 | + | 1.63860i | ||||
\(521\) | −17344.6 | − | 10013.9i | −1.45850 | − | 0.842066i | −0.459563 | − | 0.888145i | \(-0.651994\pi\) |
−0.998938 | + | 0.0460794i | \(0.985327\pi\) | |||||||
\(522\) | 1089.85 | + | 964.342i | 0.0913819 | + | 0.0808584i | ||||
\(523\) | 15266.3 | − | 8813.97i | 1.27638 | − | 0.736918i | 0.300199 | − | 0.953877i | \(-0.402947\pi\) |
0.976181 | + | 0.216959i | \(0.0696136\pi\) | |||||||
\(524\) | −9619.80 | + | 7093.23i | −0.801990 | + | 0.591353i | ||||
\(525\) | 2912.92 | − | 4182.93i | 0.242153 | − | 0.347730i | ||||
\(526\) | 7262.29 | + | 6492.84i | 0.601998 | + | 0.538215i | ||||
\(527\) | −8944.19 | + | 7505.07i | −0.739307 | + | 0.620353i | ||||
\(528\) | 20994.4 | + | 749.928i | 1.73042 | + | 0.0618114i | ||||
\(529\) | 11250.0 | − | 4094.66i | 0.924631 | − | 0.336538i | ||||
\(530\) | 15594.4 | − | 12272.3i | 1.27807 | − | 1.00580i | ||||
\(531\) | 1593.25 | − | 289.386i | 0.130209 | − | 0.0236502i | ||||
\(532\) | −938.372 | + | 3879.80i | −0.0764729 | + | 0.316185i | ||||
\(533\) | 17695.1 | + | 3120.12i | 1.43801 | + | 0.253560i | ||||
\(534\) | 1330.37 | + | 1409.34i | 0.107810 | + | 0.114210i | ||||
\(535\) | 3026.37 | − | 8314.89i | 0.244564 | − | 0.671933i | ||||
\(536\) | 3202.62 | + | 4641.56i | 0.258082 | + | 0.374039i | ||||
\(537\) | −17023.0 | + | 17110.7i | −1.36796 | + | 1.37501i | ||||
\(538\) | −7820.91 | − | 4848.84i | −0.626735 | − | 0.388566i | ||||
\(539\) | 16133.6 | 1.28928 | ||||||||
\(540\) | −13379.2 | − | 10511.3i | −1.06620 | − | 0.837656i | ||||
\(541\) | 2484.05 | 0.197408 | 0.0987039 | − | 0.995117i | \(-0.468530\pi\) | ||||
0.0987039 | + | 0.995117i | \(0.468530\pi\) | |||||||
\(542\) | 9138.65 | + | 5665.82i | 0.724241 | + | 0.449018i | ||||
\(543\) | −2158.29 | − | 572.369i | −0.170573 | − | 0.0452352i | ||||
\(544\) | −8184.13 | − | 6625.32i | −0.645022 | − | 0.522166i | ||||
\(545\) | −8398.47 | + | 23074.6i | −0.660093 | + | 1.81359i | ||||
\(546\) | −7834.65 | + | 1859.11i | −0.614088 | + | 0.145719i | ||||
\(547\) | −16666.3 | − | 2938.71i | −1.30274 | − | 0.229708i | −0.521131 | − | 0.853477i | \(-0.674490\pi\) |
−0.781609 | + | 0.623769i | \(0.785601\pi\) | |||||||
\(548\) | 6978.85 | + | 1687.91i | 0.544018 | + | 0.131577i | ||||
\(549\) | −2430.63 | − | 6572.76i | −0.188956 | − | 0.510963i | ||||
\(550\) | −14715.9 | + | 11581.0i | −1.14089 | + | 0.897848i | ||||
\(551\) | 954.581 | − | 347.439i | 0.0738049 | − | 0.0268628i | ||||
\(552\) | 1545.33 | − | 554.906i | 0.119155 | − | 0.0427869i | ||||
\(553\) | −4926.91 | + | 4134.17i | −0.378867 | + | 0.317907i | ||||
\(554\) | 4759.91 | + | 4255.59i | 0.365035 | + | 0.326359i | ||||
\(555\) | −6785.74 | − | 14454.9i | −0.518988 | − | 1.10555i | ||||
\(556\) | −4512.20 | − | 6119.43i | −0.344173 | − | 0.466765i | ||||
\(557\) | 11651.7 | − | 6727.11i | 0.886353 | − | 0.511736i | 0.0136051 | − | 0.999907i | \(-0.495669\pi\) |
0.872748 | + | 0.488171i | \(0.162336\pi\) | |||||||
\(558\) | 2264.74 | + | 15160.4i | 0.171817 | + | 1.15017i | ||||
\(559\) | 27039.1 | + | 15611.0i | 2.04585 | + | 1.18117i | ||||
\(560\) | −3519.97 | − | 8370.84i | −0.265618 | − | 0.631665i | ||||
\(561\) | −17325.5 | − | 8024.87i | −1.30389 | − | 0.603940i | ||||
\(562\) | 2434.55 | + | 508.527i | 0.182732 | + | 0.0381689i | ||||
\(563\) | 57.4211 | + | 325.651i | 0.00429842 | + | 0.0243776i | 0.986882 | − | 0.161446i | \(-0.0516158\pi\) |
−0.982583 | + | 0.185824i | \(0.940505\pi\) | |||||||
\(564\) | 5005.00 | + | 8151.20i | 0.373668 | + | 0.608560i | ||||
\(565\) | 7975.53 | + | 6692.26i | 0.593864 | + | 0.498311i | ||||
\(566\) | −16206.0 | + | 2335.83i | −1.20352 | + | 0.173467i | ||||
\(567\) | 4331.91 | − | 5271.72i | 0.320852 | − | 0.390461i | ||||
\(568\) | −10051.0 | − | 21947.9i | −0.742480 | − | 1.62133i | ||||
\(569\) | 4492.95 | − | 5354.48i | 0.331027 | − | 0.394502i | −0.574700 | − | 0.818364i | \(-0.694881\pi\) |
0.905727 | + | 0.423862i | \(0.139326\pi\) | |||||||
\(570\) | −10904.4 | + | 4707.26i | −0.801293 | + | 0.345904i | ||||
\(571\) | −9805.65 | + | 1729.00i | −0.718658 | + | 0.126719i | −0.521005 | − | 0.853553i | \(-0.674443\pi\) |
−0.197652 | + | 0.980272i | \(0.563332\pi\) | |||||||
\(572\) | 29524.1 | + | 1855.70i | 2.15816 | + | 0.135648i | ||||
\(573\) | 8187.27 | − | 17676.1i | 0.596907 | − | 1.28871i | ||||
\(574\) | −8122.13 | − | 255.001i | −0.590612 | − | 0.0185428i | ||||
\(575\) | −731.816 | + | 1267.54i | −0.0530762 | + | 0.0919307i | ||||
\(576\) | −13030.7 | + | 4615.68i | −0.942612 | + | 0.333889i | ||||
\(577\) | 1949.65 | + | 3376.90i | 0.140667 | + | 0.243643i | 0.927748 | − | 0.373207i | \(-0.121742\pi\) |
−0.787081 | + | 0.616850i | \(0.788409\pi\) | |||||||
\(578\) | −2044.23 | − | 3812.19i | −0.147108 | − | 0.274336i | ||||
\(579\) | 2827.47 | − | 1327.33i | 0.202946 | − | 0.0952711i | ||||
\(580\) | −1278.76 | + | 1924.95i | −0.0915480 | + | 0.137809i | ||||
\(581\) | 7028.95 | + | 8376.78i | 0.501911 | + | 0.598154i | ||||
\(582\) | −15889.1 | + | 929.802i | −1.13166 | + | 0.0662226i | ||||
\(583\) | −9999.49 | − | 27473.4i | −0.710354 | − | 1.95168i | ||||
\(584\) | 5993.36 | − | 8435.11i | 0.424670 | − | 0.597684i | ||||
\(585\) | −18432.7 | − | 15306.1i | −1.30273 | − | 1.08176i | ||||
\(586\) | −2461.18 | + | 6153.94i | −0.173499 | + | 0.433817i | ||||
\(587\) | 1555.36 | − | 8820.90i | 0.109364 | − | 0.620234i | −0.880023 | − | 0.474931i | \(-0.842473\pi\) |
0.989387 | − | 0.145303i | \(-0.0464159\pi\) | |||||||
\(588\) | −9874.42 | + | 3899.75i | −0.692541 | + | 0.273508i | ||||
\(589\) | 10055.0 | + | 3659.72i | 0.703411 | + | 0.256021i | ||||
\(590\) | 803.258 | + | 2442.87i | 0.0560502 | + | 0.170460i | ||||
\(591\) | 5590.47 | − | 21080.5i | 0.389105 | − | 1.46724i | ||||
\(592\) | −12872.0 | − | 1624.53i | −0.893645 | − | 0.112783i | ||||
\(593\) | 24542.7i | 1.69957i | 0.527127 | + | 0.849787i | \(0.323269\pi\) | ||||
−0.527127 | + | 0.849787i | \(0.676731\pi\) | |||||||
\(594\) | −20868.6 | + | 13887.9i | −1.44150 | + | 0.959308i | ||||
\(595\) | 8253.47i | 0.568671i | ||||||||
\(596\) | 9729.09 | − | 22272.7i | 0.668656 | − | 1.53075i | ||||
\(597\) | −7815.16 | − | 7775.08i | −0.535767 | − | 0.533020i | ||||
\(598\) | 2196.43 | − | 722.222i | 0.150198 | − | 0.0493877i | ||||
\(599\) | 7589.25 | + | 2762.26i | 0.517677 | + | 0.188419i | 0.587628 | − | 0.809132i | \(-0.300062\pi\) |
−0.0699509 | + | 0.997550i | \(0.522284\pi\) | |||||||
\(600\) | 6207.43 | − | 10645.1i | 0.422362 | − | 0.724309i | ||||
\(601\) | 4190.81 | − | 23767.3i | 0.284437 | − | 1.61312i | −0.422852 | − | 0.906199i | \(-0.638971\pi\) |
0.707289 | − | 0.706924i | \(-0.249918\pi\) | |||||||
\(602\) | −13110.7 | − | 5243.43i | −0.887625 | − | 0.354993i | ||||
\(603\) | −6334.90 | − | 2268.90i | −0.427823 | − | 0.153229i | ||||
\(604\) | 13308.3 | − | 13976.8i | 0.896533 | − | 0.941567i | ||||
\(605\) | 13789.4 | + | 37886.2i | 0.926645 | + | 2.54594i | ||||
\(606\) | 16382.6 | + | 8222.03i | 1.09818 | + | 0.551150i | ||||
\(607\) | −555.210 | − | 661.673i | −0.0371256 | − | 0.0442446i | 0.747162 | − | 0.664642i | \(-0.231416\pi\) |
−0.784288 | + | 0.620397i | \(0.786971\pi\) | |||||||
\(608\) | −1508.14 | + | 9531.39i | −0.100597 | + | 0.635771i | ||||
\(609\) | −760.527 | − | 529.618i | −0.0506044 | − | 0.0352401i | ||||
\(610\) | 9807.60 | − | 5259.17i | 0.650981 | − | 0.349078i | ||||
\(611\) | 6734.66 | + | 11664.8i | 0.445917 | + | 0.772351i | ||||
\(612\) | 12543.6 | + | 723.692i | 0.828508 | + | 0.0477999i | ||||
\(613\) | −14128.3 | + | 24470.9i | −0.930891 | + | 1.61235i | −0.149089 | + | 0.988824i | \(0.547634\pi\) |
−0.781802 | + | 0.623526i | \(0.785699\pi\) | |||||||
\(614\) | −412.172 | + | 13128.2i | −0.0270910 | + | 0.862886i | ||||
\(615\) | −13919.4 | − | 19770.6i | −0.912659 | − | 1.29631i | ||||
\(616\) | −13335.6 | + | 1074.18i | −0.872248 | + | 0.0702594i | ||||
\(617\) | 17730.5 | − | 3126.37i | 1.15690 | − | 0.203992i | 0.437912 | − | 0.899018i | \(-0.355718\pi\) |
0.718985 | + | 0.695026i | \(0.244607\pi\) | |||||||
\(618\) | −1698.25 | + | 2282.45i | −0.110540 | + | 0.148566i | ||||
\(619\) | 6128.15 | − | 7303.24i | 0.397918 | − | 0.474220i | −0.529466 | − | 0.848331i | \(-0.677608\pi\) |
0.927384 | + | 0.374111i | \(0.122052\pi\) | |||||||
\(620\) | −23351.8 | + | 6874.35i | −1.51263 | + | 0.445291i | ||||
\(621\) | −1111.36 | + | 1613.53i | −0.0718153 | + | 0.104265i | ||||
\(622\) | 3332.50 | + | 23121.0i | 0.214825 | + | 1.49046i | ||||
\(623\) | −945.496 | − | 793.365i | −0.0608034 | − | 0.0510201i | ||||
\(624\) | −18518.5 | + | 6000.68i | −1.18804 | + | 0.384967i | ||||
\(625\) | −3080.75 | − | 17471.8i | −0.197168 | − | 1.11820i | ||||
\(626\) | 5498.19 | − | 26322.3i | 0.351041 | − | 1.68059i | ||||
\(627\) | 1569.90 | + | 17427.9i | 0.0999932 | + | 1.11006i | ||||
\(628\) | −624.775 | − | 5566.94i | −0.0396994 | − | 0.353734i | ||||
\(629\) | 10212.2 | + | 5896.04i | 0.647359 | + | 0.373753i | ||||
\(630\) | 9238.51 | + | 5662.19i | 0.584240 | + | 0.358075i | ||||
\(631\) | −13250.3 | + | 7650.06i | −0.835952 | + | 0.482637i | −0.855886 | − | 0.517164i | \(-0.826988\pi\) |
0.0199339 | + | 0.999801i | \(0.493654\pi\) | |||||||
\(632\) | −11070.1 | + | 10918.5i | −0.696745 | + | 0.687209i | ||||
\(633\) | 26150.1 | + | 2220.12i | 1.64198 | + | 0.139402i | ||||
\(634\) | −2709.02 | + | 3030.06i | −0.169699 | + | 0.189809i | ||||
\(635\) | 1427.54 | − | 1197.85i | 0.0892128 | − | 0.0748585i | ||||
\(636\) | 12760.8 | + | 14397.8i | 0.795597 | + | 0.897655i | ||||
\(637\) | −14048.3 | + | 5113.18i | −0.873808 | + | 0.318040i | ||||
\(638\) | 2105.62 | + | 2675.60i | 0.130662 | + | 0.166032i | ||||
\(639\) | 25019.3 | + | 14273.9i | 1.54890 | + | 0.883674i | ||||
\(640\) | −10107.0 | − | 19488.2i | −0.624240 | − | 1.20365i | ||||
\(641\) | −28261.5 | − | 4983.26i | −1.74144 | − | 0.307063i | −0.789590 | − | 0.613634i | \(-0.789707\pi\) |
−0.951848 | + | 0.306572i | \(0.900818\pi\) | |||||||
\(642\) | 8218.87 | + | 2458.11i | 0.505253 | + | 0.151112i | ||||
\(643\) | −2511.32 | + | 6899.78i | −0.154023 | + | 0.423174i | −0.992573 | − | 0.121650i | \(-0.961181\pi\) |
0.838550 | + | 0.544824i | \(0.183404\pi\) | |||||||
\(644\) | −936.586 | + | 464.996i | −0.0573085 | + | 0.0284525i | ||||
\(645\) | −10978.5 | − | 40554.9i | −0.670196 | − | 2.47573i | ||||
\(646\) | 4621.58 | − | 7454.35i | 0.281476 | − | 0.454006i | ||||
\(647\) | −17871.7 | −1.08595 | −0.542975 | − | 0.839749i | \(-0.682702\pi\) | ||||
−0.542975 | + | 0.839749i | \(0.682702\pi\) | |||||||
\(648\) | 9415.48 | − | 13544.2i | 0.570795 | − | 0.821093i | ||||
\(649\) | 3788.66 | 0.229149 | ||||||||
\(650\) | 9143.56 | − | 14748.1i | 0.551754 | − | 0.889948i | ||||
\(651\) | −2550.83 | − | 9422.86i | −0.153571 | − | 0.567298i | ||||
\(652\) | −3282.69 | + | 1629.79i | −0.197178 | + | 0.0978951i | ||||
\(653\) | −3855.07 | + | 10591.7i | −0.231027 | + | 0.634741i | −0.999990 | − | 0.00455228i | \(-0.998551\pi\) |
0.768963 | + | 0.639294i | \(0.220773\pi\) | |||||||
\(654\) | −22808.1 | − | 6821.50i | −1.36371 | − | 0.407862i | ||||
\(655\) | 22304.4 | + | 3932.86i | 1.33054 | + | 0.234610i | ||||
\(656\) | −19621.6 | + | 962.047i | −1.16783 | + | 0.0572585i | ||||
\(657\) | 63.4771 | + | 12347.0i | 0.00376937 | + | 0.733182i | ||||
\(658\) | −3767.21 | − | 4786.97i | −0.223193 | − | 0.283610i | ||||
\(659\) | −8320.77 | + | 3028.51i | −0.491853 | + | 0.179020i | −0.576026 | − | 0.817431i | \(-0.695397\pi\) |
0.0841731 | + | 0.996451i | \(0.473175\pi\) | |||||||
\(660\) | −26404.1 | − | 29791.2i | −1.55724 | − | 1.75700i | ||||
\(661\) | −19281.3 | + | 16178.9i | −1.13458 | + | 0.952023i | −0.999248 | − | 0.0387774i | \(-0.987654\pi\) |
−0.135329 | + | 0.990801i | \(0.543209\pi\) | |||||||
\(662\) | −1868.44 | + | 2089.87i | −0.109697 | + | 0.122696i | ||||
\(663\) | 17629.5 | + | 1496.73i | 1.03269 | + | 0.0876743i | ||||
\(664\) | 18563.8 | + | 18821.4i | 1.08496 | + | 1.10002i | ||||
\(665\) | 6550.53 | − | 3781.95i | 0.381983 | − | 0.220538i | ||||
\(666\) | 13605.7 | − | 7386.17i | 0.791608 | − | 0.429742i | ||||
\(667\) | 230.460 | + | 133.056i | 0.0133785 | + | 0.00772408i | ||||
\(668\) | −1746.83 | − | 15564.8i | −0.101178 | − | 0.901528i | ||||
\(669\) | 525.075 | + | 5829.02i | 0.0303446 | + | 0.336865i | ||||
\(670\) | 2184.91 | − | 10460.1i | 0.125986 | − | 0.603150i | ||||
\(671\) | −2847.12 | − | 16146.8i | −0.163803 | − | 0.928973i | ||||
\(672\) | 7902.26 | − | 3880.85i | 0.453625 | − | 0.222779i | ||||
\(673\) | 2344.08 | + | 1966.91i | 0.134261 | + | 0.112658i | 0.707445 | − | 0.706768i | \(-0.249848\pi\) |
−0.573184 | + | 0.819426i | \(0.694292\pi\) | |||||||
\(674\) | 1087.60 | + | 7545.79i | 0.0621554 | + | 0.431236i | ||||
\(675\) | 1394.47 | + | 14637.8i | 0.0795156 | + | 0.834680i | ||||
\(676\) | −9435.66 | + | 2777.69i | −0.536849 | + | 0.158039i | ||||
\(677\) | 6212.47 | − | 7403.74i | 0.352681 | − | 0.420308i | −0.560314 | − | 0.828280i | \(-0.689319\pi\) |
0.912994 | + | 0.407972i | \(0.133764\pi\) | |||||||
\(678\) | −6025.32 | + | 8098.04i | −0.341299 | + | 0.458707i | ||||
\(679\) | 9982.29 | − | 1760.15i | 0.564190 | − | 0.0994819i | ||||
\(680\) | 1602.02 | + | 19888.6i | 0.0903453 | + | 1.12161i | ||||
\(681\) | 9170.20 | + | 13025.0i | 0.516010 | + | 0.732922i | ||||
\(682\) | −1125.43 | + | 35846.3i | −0.0631888 | + | 2.01265i | ||||
\(683\) | 8538.58 | − | 14789.3i | 0.478360 | − | 0.828543i | −0.521332 | − | 0.853354i | \(-0.674565\pi\) |
0.999692 | + | 0.0248103i | \(0.00789816\pi\) | |||||||
\(684\) | −5173.45 | − | 10287.1i | −0.289198 | − | 0.575056i | ||||
\(685\) | −6802.85 | − | 11782.9i | −0.379450 | − | 0.657227i | ||||
\(686\) | 13960.9 | − | 7486.33i | 0.777013 | − | 0.416661i | ||||
\(687\) | −12277.9 | − | 8550.14i | −0.681851 | − | 0.474830i | ||||
\(688\) | −32610.9 | − | 10090.4i | −1.80709 | − | 0.559147i | ||||
\(689\) | 17414.1 | + | 20753.3i | 0.962880 | + | 1.14752i | ||||
\(690\) | −2780.78 | − | 1395.61i | −0.153424 | − | 0.0769999i | ||||
\(691\) | 2833.14 | + | 7784.00i | 0.155974 | + | 0.428534i | 0.992925 | − | 0.118743i | \(-0.0378865\pi\) |
−0.836951 | + | 0.547277i | \(0.815664\pi\) | |||||||
\(692\) | −3316.19 | + | 3482.77i | −0.182171 | + | 0.191322i | ||||
\(693\) | 12176.3 | − | 10324.3i | 0.667445 | − | 0.565925i | ||||
\(694\) | −14641.1 | − | 5855.52i | −0.800821 | − | 0.320277i | ||||
\(695\) | −2501.81 | + | 14188.5i | −0.136545 | + | 0.774387i | ||||
\(696\) | −1935.46 | − | 1128.62i | −0.105407 | − | 0.0614656i | ||||
\(697\) | 16778.5 | + | 6106.88i | 0.911810 | + | 0.331872i | ||||
\(698\) | 12868.2 | − | 4231.30i | 0.697809 | − | 0.229451i | ||||
\(699\) | 13309.5 | + | 13241.3i | 0.720190 | + | 0.716497i | ||||
\(700\) | −3141.40 | + | 7191.57i | −0.169620 | + | 0.388308i | ||||
\(701\) | − | 17448.4i | − | 0.940112i | −0.882637 | − | 0.470056i | \(-0.844234\pi\) | ||
0.882637 | − | 0.470056i | \(-0.155766\pi\) | |||||||
\(702\) | 13769.8 | − | 18706.7i | 0.740327 | − | 1.00576i | ||||
\(703\) | − | 10806.9i | − | 0.579785i | ||||||
\(704\) | −31926.6 | + | 5176.95i | −1.70920 | + | 0.277150i | ||||
\(705\) | 4646.14 | − | 17519.6i | 0.248204 | − | 0.935926i | ||||
\(706\) | −545.507 | − | 1659.00i | −0.0290799 | − | 0.0884381i | ||||
\(707\) | −10969.5 | − | 3992.56i | −0.583521 | − | 0.212384i | ||||
\(708\) | −2318.81 | + | 915.778i | −0.123088 | + | 0.0486116i | ||||
\(709\) | 1380.68 | − | 7830.22i | 0.0731347 | − | 0.414767i | −0.926157 | − | 0.377138i | \(-0.876908\pi\) |
0.999292 | − | 0.0376293i | \(-0.0119806\pi\) | |||||||
\(710\) | −16986.3 | + | 42472.4i | −0.897864 | + | 2.24502i | ||||
\(711\) | 3127.77 | − | 18287.8i | 0.164980 | − | 0.964620i | ||||
\(712\) | −2432.38 | − | 1728.27i | −0.128030 | − | 0.0909686i | ||||
\(713\) | 958.709 | + | 2634.03i | 0.0503561 | + | 0.138352i | ||||
\(714\) | −7988.02 | + | 467.444i | −0.418689 | + | 0.0245009i | ||||
\(715\) | −36032.4 | − | 42941.7i | −1.88466 | − | 2.24606i | ||||
\(716\) | 20562.3 | − | 30952.8i | 1.07325 | − | 1.61559i | ||||
\(717\) | −12490.8 | + | 5863.70i | −0.650597 | + | 0.305417i | ||||
\(718\) | −3569.44 | − | 6656.50i | −0.185530 | − | 0.345986i | ||||
\(719\) | 815.729 | + | 1412.88i | 0.0423109 | + | 0.0732847i | 0.886405 | − | 0.462910i | \(-0.153195\pi\) |
−0.844094 | + | 0.536195i | \(0.819861\pi\) | |||||||
\(720\) | 23361.3 | + | 11851.1i | 1.20920 | + | 0.613423i | ||||
\(721\) | 905.895 | − | 1569.06i | 0.0467924 | − | 0.0810467i | ||||
\(722\) | 11356.6 | + | 356.550i | 0.585387 | + | 0.0183787i | ||||
\(723\) | −12696.8 | + | 27412.1i | −0.653110 | + | 1.41005i | ||||
\(724\) | 3430.99 | + | 215.651i | 0.176121 | + | 0.0110699i | ||||
\(725\) | 1966.84 | − | 346.807i | 0.100754 | − | 0.0177656i | ||||
\(726\) | −35886.7 | + | 15491.7i | −1.83455 | + | 0.791942i | ||||
\(727\) | 14797.2 | − | 17634.6i | 0.754879 | − | 0.899630i | −0.242633 | − | 0.970118i | \(-0.578011\pi\) |
0.997513 | + | 0.0704878i | \(0.0224556\pi\) | |||||||
\(728\) | 11271.5 | − | 5161.74i | 0.573832 | − | 0.262784i | ||||
\(729\) | 303.563 | + | 19680.7i | 0.0154226 | + | 0.999881i | ||||
\(730\) | −19407.2 | + | 2797.23i | −0.983965 | + | 0.141822i | ||||
\(731\) | 23767.4 | + | 19943.2i | 1.20256 | + | 1.00907i | ||||
\(732\) | 5645.49 | + | 9194.31i | 0.285059 | + | 0.464251i | ||||
\(733\) | −2733.57 | − | 15502.9i | −0.137745 | − | 0.781188i | −0.972909 | − | 0.231188i | \(-0.925739\pi\) |
0.835164 | − | 0.550000i | \(-0.185372\pi\) | |||||||
\(734\) | 2179.74 | + | 455.302i | 0.109613 | + | 0.0228958i | ||||
\(735\) | 18254.6 | + | 8455.20i | 0.916096 | + | 0.424319i | ||||
\(736\) | −2166.66 | + | 1302.31i | −0.108511 | + | 0.0652224i | ||||
\(737\) | −13634.3 | − | 7871.77i | −0.681446 | − | 0.393433i | ||||
\(738\) | 18346.4 | − | 14591.5i | 0.915097 | − | 0.727804i | ||||
\(739\) | −1877.41 | + | 1083.92i | −0.0934527 | + | 0.0539549i | −0.545998 | − | 0.837786i | \(-0.683849\pi\) |
0.452545 | + | 0.891741i | \(0.350516\pi\) | |||||||
\(740\) | 14590.4 | + | 19787.5i | 0.724804 | + | 0.982975i | ||||
\(741\) | −6890.37 | − | 14677.8i | −0.341598 | − | 0.727670i | ||||
\(742\) | −9134.00 | − | 8166.24i | −0.451913 | − | 0.404033i | ||||
\(743\) | 16277.1 | − | 13658.1i | 0.803699 | − | 0.674384i | −0.145396 | − | 0.989374i | \(-0.546446\pi\) |
0.949095 | + | 0.314990i | \(0.102001\pi\) | |||||||
\(744\) | −7975.81 | − | 22211.4i | −0.393020 | − | 1.09450i | ||||
\(745\) | −43278.4 | + | 15752.1i | −2.12832 | + | 0.774645i | ||||
\(746\) | 3617.57 | − | 2846.92i | 0.177545 | − | 0.139723i | ||||
\(747\) | −31093.1 | − | 5317.87i | −1.52294 | − | 0.260470i | ||||
\(748\) | 28572.9 | + | 6910.68i | 1.39670 | + | 0.337807i | ||||
\(749\) | −5380.25 | − | 948.684i | −0.262470 | − | 0.0462806i | ||||
\(750\) | 4377.29 | − | 1038.70i | 0.213115 | − | 0.0505708i | ||||
\(751\) | −11592.4 | + | 31850.0i | −0.563268 | + | 1.54757i | 0.251547 | + | 0.967845i | \(0.419061\pi\) |
−0.814815 | + | 0.579721i | \(0.803162\pi\) | |||||||
\(752\) | −10007.1 | − | 10804.1i | −0.485269 | − | 0.523915i | ||||
\(753\) | 9995.05 | + | 2650.65i | 0.483718 | + | 0.128280i | ||||
\(754\) | −2681.44 | − | 1662.45i | −0.129512 | − | 0.0802957i | ||||
\(755\) | −36570.6 | −1.76283 | ||||||||
\(756\) | −4956.85 | + | 9262.06i | −0.238464 | + | 0.445579i | ||||
\(757\) | −27413.8 | −1.31621 | −0.658104 | − | 0.752927i | \(-0.728641\pi\) | ||||
−0.658104 | + | 0.752927i | \(0.728641\pi\) | |||||||
\(758\) | 10987.0 | + | 6811.79i | 0.526473 | + | 0.326405i | ||||
\(759\) | −3233.00 | + | 3249.66i | −0.154612 | + | 0.155409i | ||||
\(760\) | 15050.9 | − | 10384.9i | 0.718360 | − | 0.495660i | ||||
\(761\) | 5560.22 | − | 15276.6i | 0.264859 | − | 0.727694i | −0.733964 | − | 0.679189i | \(-0.762332\pi\) |
0.998823 | − | 0.0485057i | \(-0.0154459\pi\) | |||||||
\(762\) | 1240.17 | + | 1313.78i | 0.0589589 | + | 0.0624585i | ||||
\(763\) | 14930.7 | + | 2632.69i | 0.708425 | + | 0.124914i | ||||
\(764\) | −7050.54 | + | 29151.2i | −0.333874 | + | 1.38044i | ||||
\(765\) | −15397.6 | − | 18159.7i | −0.727713 | − | 0.858254i | ||||
\(766\) | −16939.5 | + | 13330.9i | −0.799022 | + | 0.628807i | ||||
\(767\) | −3298.97 | + | 1200.73i | −0.155305 | + | 0.0565264i | ||||
\(768\) | 18289.0 | − | 10885.7i | 0.859306 | − | 0.511461i | ||||
\(769\) | 23594.1 | − | 19797.8i | 1.10640 | − | 0.928383i | 0.108565 | − | 0.994089i | \(-0.465375\pi\) |
0.997839 | + | 0.0657066i | \(0.0209301\pi\) | |||||||
\(770\) | 18899.6 | + | 16897.2i | 0.884539 | + | 0.790821i | ||||
\(771\) | 4676.29 | − | 6715.10i | 0.218434 | − | 0.313669i | ||||
\(772\) | −3870.54 | + | 2853.97i | −0.180445 | + | 0.133053i | ||||
\(773\) | −4641.72 | + | 2679.90i | −0.215978 | + | 0.124695i | −0.604087 | − | 0.796919i | \(-0.706462\pi\) |
0.388108 | + | 0.921614i | \(0.373129\pi\) | |||||||
\(774\) | 38628.8 | − | 12922.2i | 1.79391 | − | 0.600103i | ||||
\(775\) | 18218.7 | + | 10518.6i | 0.844433 | + | 0.487534i | ||||
\(776\) | 23712.9 | − | 6179.07i | 1.09697 | − | 0.285845i | ||||
\(777\) | −8061.66 | + | 5675.77i | −0.372214 | + | 0.262056i | ||||
\(778\) | 11819.6 | + | 2468.86i | 0.544668 | + | 0.113770i | ||||
\(779\) | −2841.50 | − | 16114.9i | −0.130690 | − | 0.741178i | ||||
\(780\) | 32433.0 | + | 17572.5i | 1.48883 | + | 0.806661i | ||||
\(781\) | 51626.4 | + | 43319.7i | 2.36535 | + | 1.98476i | ||||
\(782\) | 2274.11 | − | 327.775i | 0.103992 | − | 0.0149888i | ||||
\(783\) | 2661.40 | − | 253.537i | 0.121469 | − | 0.0115717i | ||||
\(784\) | 13738.3 | − | 8856.07i | 0.625832 | − | 0.403429i | ||||
\(785\) | −6823.29 | + | 8131.68i | −0.310234 | + | 0.369723i | ||||
\(786\) | −2543.14 | + | 21809.8i | −0.115408 | + | 0.989731i | ||||
\(787\) | −36211.2 | + | 6385.02i | −1.64014 | + | 0.289201i | −0.916218 | − | 0.400679i | \(-0.868774\pi\) |
−0.723923 | + | 0.689881i | \(0.757663\pi\) | |||||||
\(788\) | −2106.31 | + | 33511.3i | −0.0952211 | + | 1.51496i | ||||
\(789\) | 17824.2 | − | 1605.59i | 0.804256 | − | 0.0724470i | ||||
\(790\) | 29449.0 | + | 924.578i | 1.32626 | + | 0.0416392i | ||||
\(791\) | 3214.08 | − | 5566.94i | 0.144475 | − | 0.250237i | ||||
\(792\) | 27337.6 | − | 27242.1i | 1.22651 | − | 1.22223i | ||||
\(793\) | 7596.49 | + | 13157.5i | 0.340176 | + | 0.589202i | ||||
\(794\) | 1060.33 | + | 1977.37i | 0.0473928 | + | 0.0883807i | ||||
\(795\) | 3084.00 | − | 36325.6i | 0.137583 | − | 1.62055i | ||||
\(796\) | 14137.4 | + | 9391.61i | 0.629505 | + | 0.418187i | ||||
\(797\) | −15522.7 | − | 18499.3i | −0.689892 | − | 0.822181i | 0.301451 | − | 0.953482i | \(-0.402529\pi\) |
−0.991343 | + | 0.131301i | \(0.958085\pi\) | |||||||
\(798\) | 4031.31 | + | 6125.65i | 0.178831 | + | 0.271737i | ||||
\(799\) | 4577.87 | + | 12577.6i | 0.202695 | + | 0.556900i | ||||
\(800\) | −6174.01 | + | 17939.5i | −0.272855 | + | 0.792820i | ||||
\(801\) | 3560.42 | − | 18.3045i | 0.157055 | − | 0.000807438i | ||||
\(802\) | −3294.67 | + | 8238.00i | −0.145061 | + | 0.362711i | ||||
\(803\) | −5016.37 | + | 28449.3i | −0.220453 | + | 1.25025i | ||||
\(804\) | 10247.5 | + | 1522.21i | 0.449503 | + | 0.0667716i | ||||
\(805\) | 1861.96 | + | 677.698i | 0.0815223 | + | 0.0296717i | ||||
\(806\) | −10380.7 | − | 31569.8i | −0.453653 | − | 1.37965i | ||||
\(807\) | −16317.9 | + | 4417.37i | −0.711795 | + | 0.192687i | ||||
\(808\) | −27208.4 | − | 7491.77i | −1.18464 | − | 0.326188i | ||||
\(809\) | − | 14069.4i | − | 0.611438i | −0.952122 | − | 0.305719i | \(-0.901103\pi\) | ||
0.952122 | − | 0.305719i | \(-0.0988967\pi\) | |||||||
\(810\) | −30890.3 | + | 4777.03i | −1.33997 | + | 0.207219i | ||||
\(811\) | 8926.48i | 0.386499i | 0.981150 | + | 0.193250i | \(0.0619027\pi\) | ||||
−0.981150 | + | 0.193250i | \(0.938097\pi\) | |||||||
\(812\) | 1307.55 | + | 571.159i | 0.0565098 | + | 0.0246844i | ||||
\(813\) | 19067.3 | − | 5161.64i | 0.822534 | − | 0.222665i | ||||
\(814\) | 34408.7 | − | 11314.2i | 1.48160 | − | 0.487176i | ||||
\(815\) | 6526.09 | + | 2375.30i | 0.280490 | + | 0.102090i | ||||
\(816\) | −19158.2 | + | 2676.91i | −0.821901 | + | 0.114841i | ||||
\(817\) | 4937.50 | − | 28002.0i | 0.211434 | − | 1.19910i | ||||
\(818\) | −24909.8 | − | 9962.31i | −1.06473 | − | 0.425824i | ||||
\(819\) | −7330.47 | + | 12848.8i | −0.312756 | + | 0.548199i | ||||
\(820\) | 26959.7 | + | 25670.2i | 1.14814 | + | 1.09322i | ||||
\(821\) | −12675.9 | − | 34826.7i | −0.538844 | − | 1.48046i | −0.848283 | − | 0.529543i | \(-0.822364\pi\) |
0.309439 | − | 0.950919i | \(-0.399859\pi\) | |||||||
\(822\) | 11018.6 | − | 7251.39i | 0.467541 | − | 0.307690i | ||||
\(823\) | −7034.11 | − | 8382.93i | −0.297927 | − | 0.355055i | 0.596227 | − | 0.802816i | \(-0.296666\pi\) |
−0.894153 | + | 0.447761i | \(0.852222\pi\) | |||||||
\(824\) | 1878.40 | − | 3956.83i | 0.0794141 | − | 0.167285i | ||||
\(825\) | −2910.28 | + | 34279.3i | −0.122816 | + | 1.44661i | ||||
\(826\) | 1399.24 | − | 750.323i | 0.0589418 | − | 0.0316066i | ||||
\(827\) | 4566.30 | + | 7909.06i | 0.192002 | + | 0.332557i | 0.945914 | − | 0.324419i | \(-0.105169\pi\) |
−0.753912 | + | 0.656976i | \(0.771835\pi\) | |||||||
\(828\) | 1193.23 | − | 2770.39i | 0.0500817 | − | 0.116277i | ||||
\(829\) | 8953.62 | − | 15508.1i | 0.375117 | − | 0.649722i | −0.615228 | − | 0.788350i | \(-0.710936\pi\) |
0.990345 | + | 0.138628i | \(0.0442692\pi\) | |||||||
\(830\) | 1571.98 | − | 50069.5i | 0.0657399 | − | 2.09390i | ||||
\(831\) | 11682.5 | − | 1052.35i | 0.487679 | − | 0.0439299i | ||||
\(832\) | 26159.3 | − | 14626.2i | 1.09004 | − | 0.609462i | ||||
\(833\) | −14630.4 | + | 2579.74i | −0.608540 | + | 0.107302i | ||||
\(834\) | −13873.8 | − | 1617.77i | −0.576032 | − | 0.0671686i | ||||
\(835\) | −19077.5 | + | 22735.7i | −0.790663 | + | 0.942276i | ||||
\(836\) | −7608.05 | − | 25844.1i | −0.314749 | − | 1.06918i | ||||
\(837\) | 23191.6 | + | 15973.9i | 0.957730 | + | 0.659662i | ||||
\(838\) | −2737.04 | − | 18989.6i | −0.112827 | − | 0.782799i | ||||
\(839\) | 17218.5 | + | 14448.0i | 0.708519 | + | 0.594518i | 0.924183 | − | 0.381950i | \(-0.124747\pi\) |
−0.215664 | + | 0.976468i | \(0.569192\pi\) | |||||||
\(840\) | −15651.6 | − | 5773.42i | −0.642896 | − | 0.237145i | ||||
\(841\) | 4172.05 | + | 23660.9i | 0.171063 | + | 0.970145i | ||||
\(842\) | 257.720 | − | 1233.82i | 0.0105482 | − | 0.0504992i | ||||
\(843\) | 3736.03 | − | 2630.33i | 0.152640 | − | 0.107466i | ||||
\(844\) | −40153.4 | + | 4506.40i | −1.63760 | + | 0.183788i | ||||
\(845\) | 16141.4 | + | 9319.26i | 0.657139 | + | 0.379399i | ||||
\(846\) | 17219.3 | + | 3504.47i | 0.699778 | + | 0.142418i | ||||
\(847\) | 21557.9 | − | 12446.5i | 0.874543 | − | 0.504918i | ||||
\(848\) | −23595.5 | − | 17905.5i | −0.955512 | − | 0.725090i | ||||
\(849\) | −17189.8 | + | 24684.4i | −0.694879 | + | 0.997840i | ||||
\(850\) | 11493.0 | − | 12855.1i | 0.463775 | − | 0.518735i | ||||
\(851\) | 2168.67 | − | 1819.73i | 0.0873571 | − | 0.0733013i | ||||
\(852\) | −42068.5 | − | 14034.5i | −1.69160 | − | 0.564335i | ||||
\(853\) | −45342.4 | + | 16503.3i | −1.82004 | + | 0.662441i | −0.824752 | + | 0.565495i | \(0.808685\pi\) |
−0.995290 | + | 0.0969461i | \(0.969093\pi\) | |||||||
\(854\) | −4249.30 | − | 5399.56i | −0.170267 | − | 0.216357i | ||||
\(855\) | −7357.23 | + | 20541.8i | −0.294283 | + | 0.821655i | ||||
\(856\) | −13149.1 | − | 1241.75i | −0.525031 | − | 0.0495818i | ||||
\(857\) | 15536.6 | + | 2739.52i | 0.619276 | + | 0.109195i | 0.474480 | − | 0.880267i | \(-0.342636\pi\) |
0.144796 | + | 0.989462i | \(0.453747\pi\) | |||||||
\(858\) | 39519.9 | − | 37305.6i | 1.57248 | − | 1.48437i | ||||
\(859\) | −5503.74 | + | 15121.4i | −0.218609 | + | 0.600624i | −0.999717 | − | 0.0237719i | \(-0.992432\pi\) |
0.781108 | + | 0.624396i | \(0.214655\pi\) | |||||||
\(860\) | 28765.0 | + | 57938.0i | 1.14056 | + | 2.29729i | ||||
\(861\) | −10529.0 | + | 10583.3i | −0.416756 | + | 0.418904i | ||||
\(862\) | −12525.5 | + | 20202.9i | −0.494918 | + | 0.798275i | ||||
\(863\) | 27123.9 | 1.06988 | 0.534942 | − | 0.844889i | \(-0.320334\pi\) | ||||
0.534942 | + | 0.844889i | \(0.320334\pi\) | |||||||
\(864\) | −10146.9 | + | 23281.2i | −0.399541 | + | 0.916716i | ||||
\(865\) | 9112.75 | 0.358200 | ||||||||
\(866\) | −15926.1 | + | 25687.9i | −0.624931 | + | 1.00798i | ||||
\(867\) | −7681.29 | − | 2037.05i | −0.300889 | − | 0.0797944i | ||||
\(868\) | 6683.51 | + | 13461.8i | 0.261352 | + | 0.526409i | ||||
\(869\) | 14846.6 | − | 40790.7i | 0.579559 | − | 1.59233i | ||||
\(870\) | 980.224 | + | 4130.85i | 0.0381985 | + | 0.160976i | ||||
\(871\) | 14366.8 | + | 2533.26i | 0.558900 | + | 0.0985491i | ||||
\(872\) | 36490.0 | + | 3445.96i | 1.41709 | + | 0.133825i | ||||
\(873\) | −18679.8 | + | 22495.6i | −0.724187 | + | 0.872119i | ||||
\(874\) | −1302.20 | − | 1654.70i | −0.0503977 | − | 0.0640400i | ||||
\(875\) | −2692.29 | + | 979.915i | −0.104018 | + | 0.0378596i | ||||
\(876\) | −3806.41 | − | 18624.6i | −0.146811 | − | 0.718343i | ||||
\(877\) | −35557.1 | + | 29836.0i | −1.36908 | + | 1.14879i | −0.396014 | + | 0.918244i | \(0.629607\pi\) |
−0.973061 | + | 0.230546i | \(0.925949\pi\) | |||||||
\(878\) | 3922.13 | − | 4386.93i | 0.150758 | − | 0.168624i | ||||
\(879\) | 5174.21 | + | 11022.1i | 0.198546 | + | 0.422941i | ||||
\(880\) | 48822.7 | + | 37049.1i | 1.87024 | + | 1.41923i | ||||
\(881\) | −19888.2 | + | 11482.5i | −0.760557 | + | 0.439108i | −0.829496 | − | 0.558513i | \(-0.811372\pi\) |
0.0689389 | + | 0.997621i | \(0.478039\pi\) | |||||||
\(882\) | −7149.39 | + | 18146.3i | −0.272939 | + | 0.692766i | ||||
\(883\) | 21483.5 | + | 12403.5i | 0.818773 | + | 0.472719i | 0.849993 | − | 0.526794i | \(-0.176606\pi\) |
−0.0312204 | + | 0.999513i | \(0.509939\pi\) | |||||||
\(884\) | −27070.1 | + | 3038.06i | −1.02994 | + | 0.115589i | ||||
\(885\) | 4286.73 | + | 1985.53i | 0.162821 | + | 0.0754158i | ||||
\(886\) | −301.847 | + | 1445.08i | −0.0114455 | + | 0.0547951i | ||||
\(887\) | −844.468 | − | 4789.22i | −0.0319667 | − | 0.181292i | 0.964644 | − | 0.263557i | \(-0.0848958\pi\) |
−0.996610 | + | 0.0822649i | \(0.973785\pi\) | |||||||
\(888\) | −18324.7 | + | 15241.9i | −0.692497 | + | 0.575994i | ||||
\(889\) | −881.391 | − | 739.575i | −0.0332519 | − | 0.0279016i | ||||
\(890\) | 806.620 | + | 5596.35i | 0.0303797 | + | 0.210775i | ||||
\(891\) | −7530.06 | + | 45431.9i | −0.283127 | + | 1.70822i | ||||
\(892\) | −2544.62 | − | 8643.93i | −0.0955158 | − | 0.324462i | ||||
\(893\) | 7884.76 | − | 9396.69i | 0.295469 | − | 0.352126i | ||||
\(894\) | −17696.6 | − | 40994.4i | −0.662037 | − | 1.53362i | ||||
\(895\) | −69346.0 | + | 12227.6i | −2.58992 | + | 0.456673i | ||||
\(896\) | −10766.0 | + | 8234.85i | −0.401414 | + | 0.307039i | ||||
\(897\) | 1785.23 | − | 3854.27i | 0.0664515 | − | 0.143467i | ||||
\(898\) | 717.936 | − | 22867.2i | 0.0266791 | − | 0.849765i | ||||
\(899\) | 1912.45 | − | 3312.47i | 0.0709499 | − | 0.122889i | ||||
\(900\) | −6504.64 | − | 21683.8i | −0.240913 | − | 0.803103i | ||||
\(901\) | 13460.8 | + | 23314.7i | 0.497717 | + | 0.862071i | ||||
\(902\) | 48334.5 | − | 25918.6i | 1.78422 | − | 0.956759i | ||||
\(903\) | −23481.9 | + | 11023.4i | −0.865371 | + | 0.406241i | ||||
\(904\) | 6664.49 | − | 14038.7i | 0.245196 | − | 0.516504i | ||||
\(905\) | −4187.31 | − | 4990.25i | −0.153802 | − | 0.183294i | ||||
\(906\) | −2071.21 | − | 35394.4i | −0.0759508 | − | 1.29790i | ||||
\(907\) | −13152.9 | − | 36137.4i | −0.481517 | − | 1.32296i | −0.908193 | − | 0.418552i | \(-0.862538\pi\) |
0.426676 | − | 0.904405i | \(-0.359685\pi\) | |||||||
\(908\) | −17761.2 | − | 16911.7i | −0.649148 | − | 0.618100i | ||||
\(909\) | 31584.0 | − | 11679.9i | 1.15245 | − | 0.426179i | ||||
\(910\) | −21812.0 | − | 8723.41i | −0.794573 | − | 0.317778i | ||||
\(911\) | −7885.82 | + | 44722.7i | −0.286793 | + | 1.62649i | 0.412015 | + | 0.911177i | \(0.364825\pi\) |
−0.698808 | + | 0.715309i | \(0.746286\pi\) | |||||||
\(912\) | 10903.4 | + | 13978.7i | 0.395884 | + | 0.507544i | ||||
\(913\) | −69352.9 | − | 25242.4i | −2.51396 | − | 0.915006i | ||||
\(914\) | −38163.1 | + | 12548.7i | −1.38110 | + | 0.454128i | ||||
\(915\) | 5240.70 | − | 19761.6i | 0.189347 | − | 0.713988i | ||||
\(916\) | 21109.0 | + | 9220.77i | 0.761420 | + | 0.332601i | ||||
\(917\) | − | 13983.6i | − | 0.503576i | ||||||
\(918\) | 16703.6 | − | 15930.8i | 0.600545 | − | 0.572763i | ||||
\(919\) | − | 49422.9i | − | 1.77401i | −0.461763 | − | 0.887003i | \(-0.652783\pi\) | ||
0.461763 | − | 0.887003i | \(-0.347217\pi\) | |||||||
\(920\) | 4618.36 | + | 1271.66i | 0.165503 | + | 0.0455709i | ||||
\(921\) | 17106.3 | + | 17018.5i | 0.612020 | + | 0.608882i | ||||
\(922\) | −7592.49 | − | 23090.3i | −0.271199 | − | 0.824772i | ||||
\(923\) | −58682.8 | − | 21358.8i | −2.09271 | − | 0.761683i | ||||
\(924\) | −15283.3 | + | 19248.8i | −0.544139 | + | 0.685322i | ||||
\(925\) | 3689.45 | − | 20923.9i | 0.131144 | − | 0.743755i | ||||
\(926\) | −7876.06 | + | 19693.3i | −0.279507 | + | 0.698879i | ||||
\(927\) | 934.017 | + | 5142.34i | 0.0330929 | + | 0.182197i | ||||
\(928\) | 3261.70 | + | 1122.54i | 0.115378 | + | 0.0397081i | ||||
\(929\) | −5682.38 | − | 15612.2i | −0.200681 | − | 0.551367i | 0.798003 | − | 0.602654i | \(-0.205890\pi\) |
−0.998684 | + | 0.0512868i | \(0.983668\pi\) | |||||||
\(930\) | −20059.5 | + | 39969.0i | −0.707286 | + | 1.40928i | ||||
\(931\) | 8751.49 | + | 10429.6i | 0.308076 | + | 0.367150i | ||||
\(932\) | −24076.5 | − | 15994.3i | −0.846194 | − | 0.562136i | ||||
\(933\) | 35217.0 | + | 24524.5i | 1.23575 | + | 0.860555i | ||||
\(934\) | 5292.83 | + | 9870.36i | 0.185425 | + | 0.345790i | ||||
\(935\) | −27852.3 | − | 48241.7i | −0.974192 | − | 1.68735i | ||||
\(936\) | −15170.4 | + | 32385.1i | −0.529766 | + | 1.13092i | ||||
\(937\) | −471.688 | + | 816.988i | −0.0164454 | + | 0.0284844i | −0.874131 | − | 0.485690i | \(-0.838568\pi\) |
0.857686 | + | 0.514175i | \(0.171902\pi\) | |||||||
\(938\) | −6594.44 | − | 207.038i | −0.229548 | − | 0.00720686i | ||||
\(939\) | −28439.1 | − | 40393.9i | −0.988365 | − | 1.40384i | ||||
\(940\) | −1750.52 | + | 27850.7i | −0.0607400 | + | 0.966372i | ||||
\(941\) | 2705.96 | − | 477.134i | 0.0937425 | − | 0.0165293i | −0.126580 | − | 0.991956i | \(-0.540400\pi\) |
0.220323 | + | 0.975427i | \(0.429289\pi\) | |||||||
\(942\) | −8256.59 | − | 6143.29i | −0.285578 | − | 0.212483i | ||||
\(943\) | 2755.39 | − | 3283.75i | 0.0951515 | − | 0.113397i | ||||
\(944\) | 3226.16 | − | 2079.67i | 0.111231 | − | 0.0717029i | ||||
\(945\) | 19187.7 | − | 5300.25i | 0.660504 | − | 0.182452i | ||||
\(946\) | 94326.6 | − | 13595.6i | 3.24188 | − | 0.467263i | ||||
\(947\) | −6466.15 | − | 5425.75i | −0.221882 | − | 0.186181i | 0.525070 | − | 0.851059i | \(-0.324039\pi\) |
−0.746952 | + | 0.664878i | \(0.768483\pi\) | |||||||
\(948\) | 773.035 | + | 28554.2i | 0.0264842 | + | 0.978269i | ||||
\(949\) | −4648.34 | − | 26362.0i | −0.159000 | − | 0.901736i | ||||
\(950\) | −15469.1 | − | 3231.17i | −0.528298 | − | 0.110350i | ||||
\(951\) | 669.905 | + | 7436.82i | 0.0228424 | + | 0.253581i | ||||
\(952\) | 11921.3 | − | 3106.43i | 0.405853 | − | 0.105756i | ||||
\(953\) | 14788.5 | + | 8538.17i | 0.502673 | + | 0.290219i | 0.729817 | − | 0.683643i | \(-0.239605\pi\) |
−0.227143 | + | 0.973861i | \(0.572939\pi\) | |||||||
\(954\) | 35331.9 | + | 927.481i | 1.19907 | + | 0.0314762i | ||||
\(955\) | 49218.0 | − | 28416.0i | 1.66770 | − | 0.962848i | ||||
\(956\) | 17098.8 | − | 12607.9i | 0.578466 | − | 0.426536i | ||||
\(957\) | 6232.56 | + | 529.138i | 0.210522 | + | 0.0178731i | ||||
\(958\) | 23092.5 | + | 20645.8i | 0.778795 | + | 0.696281i | ||||
\(959\) | −6435.10 | + | 5399.69i | −0.216684 | + | 0.181820i | ||||
\(960\) | −38836.8 | − | 10874.3i | −1.30568 | − | 0.365591i | ||||
\(961\) | 9865.24 | − | 3590.65i | 0.331148 | − | 0.120528i | ||||
\(962\) | −26375.6 | + | 20756.9i | −0.883975 | + | 0.695663i | ||||
\(963\) | 13607.7 | − | 7949.99i | 0.455352 | − | 0.266028i | ||||
\(964\) | 10934.0 | − | 45207.6i | 0.365310 | − | 1.51041i | ||||
\(965\) | 8974.21 | + | 1582.39i | 0.299368 | + | 0.0527866i | ||||
\(966\) | −550.448 | + | 1840.46i | −0.0183337 | + | 0.0612999i | ||||
\(967\) | −2894.98 | + | 7953.90i | −0.0962734 | + | 0.264509i | −0.978476 | − | 0.206361i | \(-0.933838\pi\) |
0.882202 | + | 0.470870i | \(0.156060\pi\) | |||||||
\(968\) | 49532.8 | − | 34177.0i | 1.64467 | − | 1.13480i | ||||
\(969\) | −4210.33 | − | 15553.1i | −0.139582 | − | 0.515623i | ||||
\(970\) | −39465.3 | − | 24467.8i | −1.30634 | − | 0.809913i | ||||
\(971\) | 24889.4 | 0.822593 | 0.411296 | − | 0.911502i | \(-0.365076\pi\) | ||||
0.411296 | + | 0.911502i | \(0.365076\pi\) | |||||||
\(972\) | −6372.90 | − | 29626.3i | −0.210299 | − | 0.977637i | ||||
\(973\) | 8895.37 | 0.293086 | ||||||||
\(974\) | −32676.8 | − | 20259.1i | −1.07498 | − | 0.666472i | ||||
\(975\) | −8329.92 | − | 30771.1i | −0.273611 | − | 1.01073i | ||||
\(976\) | −11287.7 | − | 12186.7i | −0.370196 | − | 0.399678i | ||||
\(977\) | 9425.45 | − | 25896.2i | 0.308646 | − | 0.847997i | −0.684276 | − | 0.729223i | \(-0.739882\pi\) |
0.992921 | − | 0.118774i | \(-0.0378963\pi\) | |||||||
\(978\) | −1929.30 | + | 6450.72i | −0.0630798 | + | 0.210911i | ||||
\(979\) | 8203.75 | + | 1446.54i | 0.267817 | + | 0.0472234i | ||||
\(980\) | −30105.2 | − | 7281.27i | −0.981300 | − | 0.237338i | ||||
\(981\) | −37762.8 | + | 22062.0i | −1.22902 | + | 0.718027i | ||||
\(982\) | 38322.9 | − | 30159.0i | 1.24535 | − | 0.980053i | ||||
\(983\) | 26457.7 | − | 9629.80i | 0.858462 | − | 0.312455i | 0.124977 | − | 0.992160i | \(-0.460114\pi\) |
0.733486 | + | 0.679705i | \(0.237892\pi\) | |||||||
\(984\) | −23317.7 | + | 27546.5i | −0.755429 | + | 0.892428i | ||||
\(985\) | 48741.0 | − | 40898.5i | 1.57667 | − | 1.32298i | ||||
\(986\) | −2337.27 | − | 2089.63i | −0.0754906 | − | 0.0674922i | ||||
\(987\) | −11150.8 | − | 946.690i | −0.359608 | − | 0.0305304i | ||||
\(988\) | 14815.4 | + | 20092.6i | 0.477066 | + | 0.646994i | ||||
\(989\) | 6450.70 | − | 3724.31i | 0.207402 | − | 0.119743i | ||||
\(990\) | −73107.0 | − | 1919.10i | −2.34696 | − | 0.0616090i | ||||
\(991\) | −2071.25 | − | 1195.84i | −0.0663929 | − | 0.0383320i | 0.466436 | − | 0.884555i | \(-0.345538\pi\) |
−0.532829 | + | 0.846223i | \(0.678871\pi\) | |||||||
\(992\) | 18718.4 | + | 31142.0i | 0.599103 | + | 0.996733i | ||||
\(993\) | 462.042 | + | 5129.27i | 0.0147658 | + | 0.163920i | ||||
\(994\) | 27646.1 | + | 5774.70i | 0.882174 | + | 0.184268i | ||||
\(995\) | −5584.83 | − | 31673.1i | −0.177941 | − | 1.00915i | ||||
\(996\) | 48548.2 | − | 1314.32i | 1.54449 | − | 0.0418131i | ||||
\(997\) | −10413.2 | − | 8737.68i | −0.330781 | − | 0.277558i | 0.462237 | − | 0.886756i | \(-0.347047\pi\) |
−0.793018 | + | 0.609198i | \(0.791491\pi\) | |||||||
\(998\) | −41687.9 | + | 6008.62i | −1.32225 | + | 0.190581i | ||||
\(999\) | 7149.00 | − | 27527.8i | 0.226411 | − | 0.871814i |
(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 | 108.4.l.a.11.18 | yes | 312 | |
4.3 | odd | 2 | inner | 108.4.l.a.11.11 | ✓ | 312 | |
27.5 | odd | 18 | inner | 108.4.l.a.59.11 | yes | 312 | |
108.59 | even | 18 | inner | 108.4.l.a.59.18 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.4.l.a.11.11 | ✓ | 312 | 4.3 | odd | 2 | inner | |
108.4.l.a.11.18 | yes | 312 | 1.1 | even | 1 | trivial | |
108.4.l.a.59.11 | yes | 312 | 27.5 | odd | 18 | inner | |
108.4.l.a.59.18 | yes | 312 | 108.59 | even | 18 | inner |