Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,4,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), 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: | \(10.4433380710\) |
Analytic rank: | \(0\) |
Dimension: | \(1624\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 2.17 | ||
Character | \(\chi\) | \(=\) | 177.2 |
Dual form | 177.4.f.a.89.17 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{1}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.150879 | + | 2.78279i | −0.0533436 | + | 0.983865i | 0.842277 | + | 0.539046i | \(0.181215\pi\) |
−0.895620 | + | 0.444819i | \(0.853268\pi\) | |||||||
\(3\) | −4.15765 | + | 3.11672i | −0.800141 | + | 0.599813i | ||||
\(4\) | 0.231945 | + | 0.0252256i | 0.0289932 | + | 0.00315320i | ||||
\(5\) | 4.42533 | − | 13.1339i | 0.395814 | − | 1.17473i | −0.545764 | − | 0.837939i | \(-0.683761\pi\) |
0.941578 | − | 0.336795i | \(-0.109343\pi\) | |||||||
\(6\) | −8.04587 | − | 12.0401i | −0.547452 | − | 0.819226i | ||||
\(7\) | −0.713636 | − | 1.05253i | −0.0385327 | − | 0.0568315i | 0.807935 | − | 0.589272i | \(-0.200585\pi\) |
−0.846467 | + | 0.532440i | \(0.821275\pi\) | |||||||
\(8\) | −3.71213 | + | 22.6430i | −0.164054 | + | 1.00069i | ||||
\(9\) | 7.57215 | − | 25.9165i | 0.280450 | − | 0.959869i | ||||
\(10\) | 35.8813 | + | 14.2964i | 1.13467 | + | 0.452092i | ||||
\(11\) | 30.4374 | − | 6.69977i | 0.834292 | − | 0.183642i | 0.222772 | − | 0.974871i | \(-0.428489\pi\) |
0.611520 | + | 0.791229i | \(0.290558\pi\) | |||||||
\(12\) | −1.04297 | + | 0.618029i | −0.0250899 | + | 0.0148675i | ||||
\(13\) | 39.4789 | − | 33.5337i | 0.842268 | − | 0.715429i | −0.118449 | − | 0.992960i | \(-0.537792\pi\) |
0.960717 | + | 0.277531i | \(0.0895162\pi\) | |||||||
\(14\) | 3.03666 | − | 1.82710i | 0.0579700 | − | 0.0348794i | ||||
\(15\) | 22.5357 | + | 68.3988i | 0.387913 | + | 1.17737i | ||||
\(16\) | −60.6277 | − | 13.3452i | −0.947308 | − | 0.208518i | ||||
\(17\) | 83.0034 | + | 56.2777i | 1.18419 | + | 0.802903i | 0.984229 | − | 0.176900i | \(-0.0566070\pi\) |
0.199964 | + | 0.979803i | \(0.435917\pi\) | |||||||
\(18\) | 70.9776 | + | 24.9819i | 0.929421 | + | 0.327128i | ||||
\(19\) | 48.6265 | − | 91.7193i | 0.587141 | − | 1.10747i | −0.394887 | − | 0.918730i | \(-0.629216\pi\) |
0.982028 | − | 0.188736i | \(-0.0604390\pi\) | |||||||
\(20\) | 1.35775 | − | 2.93472i | 0.0151801 | − | 0.0328112i | ||||
\(21\) | 6.24751 | + | 2.15187i | 0.0649199 | + | 0.0223608i | ||||
\(22\) | 14.0517 | + | 85.7117i | 0.136174 | + | 0.830627i | ||||
\(23\) | −128.540 | + | 121.760i | −1.16532 | + | 1.10385i | −0.172409 | + | 0.985025i | \(0.555155\pi\) |
−0.992915 | + | 0.118828i | \(0.962086\pi\) | |||||||
\(24\) | −55.1380 | − | 105.711i | −0.468958 | − | 0.899092i | ||||
\(25\) | −53.4047 | − | 40.5972i | −0.427238 | − | 0.324778i | ||||
\(26\) | 87.3607 | + | 114.921i | 0.658956 | + | 0.866841i | ||||
\(27\) | 49.2919 | + | 131.352i | 0.351342 | + | 0.936247i | ||||
\(28\) | −0.138974 | − | 0.262132i | −0.000937985 | − | 0.00176923i | ||||
\(29\) | 162.239 | − | 8.79632i | 1.03886 | − | 0.0563253i | 0.473193 | − | 0.880959i | \(-0.343101\pi\) |
0.565667 | + | 0.824634i | \(0.308619\pi\) | |||||||
\(30\) | −193.740 | + | 52.3923i | −1.17906 | + | 0.318849i | ||||
\(31\) | −283.306 | + | 150.199i | −1.64140 | + | 0.870213i | −0.647237 | + | 0.762289i | \(0.724076\pi\) |
−0.994159 | + | 0.107924i | \(0.965580\pi\) | |||||||
\(32\) | −2.82380 | + | 10.1704i | −0.0155994 | + | 0.0561841i | ||||
\(33\) | −105.667 | + | 122.720i | −0.557400 | + | 0.647358i | ||||
\(34\) | −169.132 | + | 222.490i | −0.853117 | + | 1.12226i | ||||
\(35\) | −16.9820 | + | 4.71503i | −0.0820137 | + | 0.0227710i | ||||
\(36\) | 2.41008 | − | 5.82019i | 0.0111578 | − | 0.0269453i | ||||
\(37\) | 264.192 | − | 43.3122i | 1.17386 | − | 0.192445i | 0.456876 | − | 0.889530i | \(-0.348968\pi\) |
0.716988 | + | 0.697085i | \(0.245520\pi\) | |||||||
\(38\) | 247.899 | + | 149.156i | 1.05828 | + | 0.636744i | ||||
\(39\) | −59.6246 | + | 262.466i | −0.244810 | + | 1.07765i | ||||
\(40\) | 280.964 | + | 148.957i | 1.11061 | + | 0.588806i | ||||
\(41\) | −144.681 | + | 152.738i | −0.551108 | + | 0.581798i | −0.940721 | − | 0.339181i | \(-0.889850\pi\) |
0.389613 | + | 0.920979i | \(0.372609\pi\) | |||||||
\(42\) | −6.93082 | + | 17.0608i | −0.0254631 | + | 0.0626796i | ||||
\(43\) | 101.490 | − | 461.075i | 0.359933 | − | 1.63519i | −0.354190 | − | 0.935174i | \(-0.615243\pi\) |
0.714123 | − | 0.700020i | \(-0.246826\pi\) | |||||||
\(44\) | 7.22881 | − | 0.786180i | 0.0247678 | − | 0.00269366i | ||||
\(45\) | −306.875 | − | 214.141i | −1.01658 | − | 0.709383i | ||||
\(46\) | −319.437 | − | 376.071i | −1.02388 | − | 1.20540i | ||||
\(47\) | 353.055 | − | 118.958i | 1.09571 | − | 0.369188i | 0.287320 | − | 0.957835i | \(-0.407236\pi\) |
0.808390 | + | 0.588647i | \(0.200339\pi\) | |||||||
\(48\) | 293.662 | − | 133.475i | 0.883051 | − | 0.401363i | ||||
\(49\) | 126.359 | − | 317.137i | 0.368393 | − | 0.924597i | ||||
\(50\) | 121.031 | − | 142.489i | 0.342328 | − | 0.403019i | ||||
\(51\) | −520.501 | + | 24.7150i | −1.42911 | + | 0.0678587i | ||||
\(52\) | 10.0029 | − | 6.78211i | 0.0266759 | − | 0.0180867i | ||||
\(53\) | 190.842 | − | 76.0383i | 0.494606 | − | 0.197069i | −0.109478 | − | 0.993989i | \(-0.534918\pi\) |
0.604085 | + | 0.796920i | \(0.293539\pi\) | |||||||
\(54\) | −372.962 | + | 117.351i | −0.939883 | + | 0.295730i | ||||
\(55\) | 46.7012 | − | 429.411i | 0.114494 | − | 1.05276i | ||||
\(56\) | 26.4816 | − | 12.2517i | 0.0631921 | − | 0.0292358i | ||||
\(57\) | 83.6911 | + | 532.892i | 0.194476 | + | 1.23830i | ||||
\(58\) | 452.803i | 1.02510i | ||||||||
\(59\) | −69.5074 | + | 447.826i | −0.153374 | + | 0.988168i | ||||
\(60\) | 3.50166 | + | 16.4333i | 0.00753437 | + | 0.0353587i | ||||
\(61\) | 804.462 | + | 43.6167i | 1.68854 | + | 0.0915499i | 0.873177 | − | 0.487403i | \(-0.162056\pi\) |
0.815361 | + | 0.578953i | \(0.196539\pi\) | |||||||
\(62\) | −375.229 | − | 811.043i | −0.768614 | − | 1.66133i | ||||
\(63\) | −32.6817 | + | 10.5250i | −0.0653573 | + | 0.0210480i | ||||
\(64\) | −498.511 | − | 167.968i | −0.973655 | − | 0.328063i | ||||
\(65\) | −265.722 | − | 666.911i | −0.507057 | − | 1.27262i | ||||
\(66\) | −325.561 | − | 312.564i | −0.607179 | − | 0.582939i | ||||
\(67\) | −96.4563 | − | 15.8132i | −0.175881 | − | 0.0288342i | 0.0731980 | − | 0.997317i | \(-0.476680\pi\) |
−0.249079 | + | 0.968483i | \(0.580128\pi\) | |||||||
\(68\) | 17.8326 | + | 15.1472i | 0.0318018 | + | 0.0270127i | ||||
\(69\) | 154.935 | − | 906.857i | 0.270318 | − | 1.58221i | ||||
\(70\) | −10.5587 | − | 47.9687i | −0.0180287 | − | 0.0819051i | ||||
\(71\) | 73.5306 | + | 218.231i | 0.122908 | + | 0.364778i | 0.991390 | − | 0.130943i | \(-0.0418004\pi\) |
−0.868482 | + | 0.495721i | \(0.834904\pi\) | |||||||
\(72\) | 558.717 | + | 267.661i | 0.914519 | + | 0.438113i | ||||
\(73\) | 328.382 | + | 545.775i | 0.526496 | + | 0.875043i | 0.999983 | − | 0.00575726i | \(-0.00183260\pi\) |
−0.473487 | + | 0.880801i | \(0.657005\pi\) | |||||||
\(74\) | 80.6677 | + | 741.727i | 0.126722 | + | 1.16519i | ||||
\(75\) | 348.568 | + | 2.34167i | 0.536656 | + | 0.00360524i | ||||
\(76\) | 13.5924 | − | 20.0472i | 0.0205151 | − | 0.0302576i | ||||
\(77\) | −28.7730 | − | 27.2552i | −0.0425842 | − | 0.0403379i | ||||
\(78\) | −721.392 | − | 205.523i | −1.04720 | − | 0.298345i | ||||
\(79\) | −473.332 | − | 218.987i | −0.674102 | − | 0.311873i | 0.0528089 | − | 0.998605i | \(-0.483183\pi\) |
−0.726911 | + | 0.686732i | \(0.759045\pi\) | |||||||
\(80\) | −443.572 | + | 737.223i | −0.619911 | + | 1.03030i | ||||
\(81\) | −614.325 | − | 392.486i | −0.842696 | − | 0.538390i | ||||
\(82\) | −403.209 | − | 425.663i | −0.543012 | − | 0.573251i | ||||
\(83\) | 48.0293 | + | 172.986i | 0.0635169 | + | 0.228767i | 0.988495 | − | 0.151253i | \(-0.0483308\pi\) |
−0.924978 | + | 0.380020i | \(0.875917\pi\) | |||||||
\(84\) | 1.39480 | + | 0.656713i | 0.00181172 | + | 0.000853016i | ||||
\(85\) | 1106.46 | − | 841.113i | 1.41192 | − | 1.07331i | ||||
\(86\) | 1267.76 | + | 351.993i | 1.58961 | + | 0.441353i | ||||
\(87\) | −647.116 | + | 542.224i | −0.797449 | + | 0.668189i | ||||
\(88\) | 38.7154 | + | 714.063i | 0.0468985 | + | 0.864992i | ||||
\(89\) | −47.6064 | − | 878.048i | −0.0566997 | − | 1.04576i | −0.879034 | − | 0.476759i | \(-0.841811\pi\) |
0.822334 | − | 0.569005i | \(-0.192671\pi\) | |||||||
\(90\) | 642.210 | − | 821.661i | 0.752166 | − | 0.962341i | ||||
\(91\) | −63.4690 | − | 17.6221i | −0.0731138 | − | 0.0203000i | ||||
\(92\) | −32.8857 | + | 24.9991i | −0.0372671 | + | 0.0283297i | ||||
\(93\) | 709.759 | − | 1507.46i | 0.791383 | − | 1.68082i | ||||
\(94\) | 277.767 | + | 1000.43i | 0.304782 | + | 1.09772i | ||||
\(95\) | −989.445 | − | 1044.54i | −1.06858 | − | 1.12808i | ||||
\(96\) | −19.9579 | − | 51.0860i | −0.0212182 | − | 0.0543119i | ||||
\(97\) | −520.880 | + | 865.709i | −0.545230 | + | 0.906180i | 0.454650 | + | 0.890670i | \(0.349765\pi\) |
−0.999880 | + | 0.0155092i | \(0.995063\pi\) | |||||||
\(98\) | 863.460 | + | 399.479i | 0.890027 | + | 0.411770i | ||||
\(99\) | 56.8418 | − | 839.560i | 0.0577053 | − | 0.852313i | ||||
\(100\) | −11.3629 | − | 10.7635i | −0.0113629 | − | 0.0107635i | ||||
\(101\) | 151.540 | − | 223.504i | 0.149295 | − | 0.220193i | −0.745687 | − | 0.666297i | \(-0.767878\pi\) |
0.894981 | + | 0.446104i | \(0.147189\pi\) | |||||||
\(102\) | 9.75568 | − | 1452.17i | 0.00947016 | − | 1.40967i | ||||
\(103\) | 81.1872 | + | 746.504i | 0.0776661 | + | 0.714128i | 0.966634 | + | 0.256160i | \(0.0824573\pi\) |
−0.888968 | + | 0.457969i | \(0.848577\pi\) | |||||||
\(104\) | 612.752 | + | 1018.40i | 0.577743 | + | 0.960216i | ||||
\(105\) | 55.9098 | − | 72.5315i | 0.0519642 | − | 0.0674129i | ||||
\(106\) | 182.805 | + | 542.545i | 0.167505 | + | 0.497138i | ||||
\(107\) | −131.705 | − | 598.342i | −0.118994 | − | 0.540597i | −0.997967 | − | 0.0637256i | \(-0.979702\pi\) |
0.878973 | − | 0.476871i | \(-0.158229\pi\) | |||||||
\(108\) | 8.11960 | + | 31.7099i | 0.00723434 | + | 0.0282526i | ||||
\(109\) | −1603.79 | − | 1362.27i | −1.40931 | − | 1.19708i | −0.951352 | − | 0.308105i | \(-0.900305\pi\) |
−0.457958 | − | 0.888974i | \(-0.651419\pi\) | |||||||
\(110\) | 1187.91 | + | 194.749i | 1.02966 | + | 0.168805i | ||||
\(111\) | −963.429 | + | 1003.49i | −0.823825 | + | 0.858082i | ||||
\(112\) | 29.2199 | + | 73.3363i | 0.0246519 | + | 0.0618717i | ||||
\(113\) | −739.321 | − | 249.106i | −0.615482 | − | 0.207380i | −0.00574446 | − | 0.999984i | \(-0.501829\pi\) |
−0.609737 | + | 0.792604i | \(0.708725\pi\) | |||||||
\(114\) | −1495.55 | + | 152.493i | −1.22870 | + | 0.125283i | ||||
\(115\) | 1030.35 | + | 2227.06i | 0.835482 | + | 1.80587i | ||||
\(116\) | 37.8524 | + | 2.05230i | 0.0302974 | + | 0.00164268i | ||||
\(117\) | −570.134 | − | 1277.08i | −0.450504 | − | 1.00911i | ||||
\(118\) | −1235.72 | − | 260.992i | −0.964043 | − | 0.203612i | ||||
\(119\) | − | 127.526i | − | 0.0982376i | ||||||
\(120\) | −1632.41 | + | 256.371i | −1.24181 | + | 0.195028i | ||||
\(121\) | −326.437 | + | 151.026i | −0.245257 | + | 0.113468i | ||||
\(122\) | −242.752 | + | 2232.07i | −0.180145 | + | 1.65641i | ||||
\(123\) | 125.493 | − | 1085.96i | 0.0919944 | − | 0.796082i | ||||
\(124\) | −69.5004 | + | 27.6915i | −0.0503332 | + | 0.0200546i | ||||
\(125\) | 664.377 | − | 450.459i | 0.475389 | − | 0.322322i | ||||
\(126\) | −24.3578 | − | 92.5344i | −0.0172220 | − | 0.0654256i | ||||
\(127\) | 79.6453 | − | 93.7657i | 0.0556486 | − | 0.0655146i | −0.733633 | − | 0.679545i | \(-0.762177\pi\) |
0.789282 | + | 0.614031i | \(0.210453\pi\) | |||||||
\(128\) | 511.380 | − | 1283.47i | 0.353125 | − | 0.886277i | ||||
\(129\) | 1015.08 | + | 2233.31i | 0.692813 | + | 1.52428i | ||||
\(130\) | 1895.96 | − | 638.825i | 1.27913 | − | 0.430990i | ||||
\(131\) | −768.641 | − | 904.914i | −0.512645 | − | 0.603532i | 0.443555 | − | 0.896247i | \(-0.353717\pi\) |
−0.956200 | + | 0.292715i | \(0.905441\pi\) | |||||||
\(132\) | −27.6046 | + | 25.7988i | −0.0182020 | + | 0.0170114i | ||||
\(133\) | −131.239 | + | 14.2731i | −0.0855631 | + | 0.00930555i | ||||
\(134\) | 58.5580 | − | 266.032i | 0.0377511 | − | 0.171505i | ||||
\(135\) | 1943.30 | − | 66.1205i | 1.23891 | − | 0.0421537i | ||||
\(136\) | −1582.41 | + | 1670.53i | −0.997727 | + | 1.05329i | ||||
\(137\) | −1429.87 | − | 758.067i | −0.891691 | − | 0.472745i | −0.0414515 | − | 0.999141i | \(-0.513198\pi\) |
−0.850240 | + | 0.526396i | \(0.823543\pi\) | |||||||
\(138\) | 2500.22 | + | 567.976i | 1.54226 | + | 0.350357i | ||||
\(139\) | −1282.23 | − | 771.491i | −0.782425 | − | 0.470770i | 0.0674700 | − | 0.997721i | \(-0.478507\pi\) |
−0.849895 | + | 0.526952i | \(0.823335\pi\) | |||||||
\(140\) | −4.05783 | + | 0.665248i | −0.00244964 | + | 0.000401598i | ||||
\(141\) | −1097.12 | + | 1594.96i | −0.655278 | + | 0.952622i | ||||
\(142\) | −618.386 | + | 171.694i | −0.365449 | + | 0.101466i | ||||
\(143\) | 976.966 | − | 1285.18i | 0.571315 | − | 0.751552i | ||||
\(144\) | −804.941 | + | 1470.20i | −0.465822 | + | 0.850812i | ||||
\(145\) | 602.429 | − | 2169.75i | 0.345028 | − | 1.24268i | ||||
\(146\) | −1568.32 | + | 831.473i | −0.889010 | + | 0.471323i | ||||
\(147\) | 463.070 | + | 1712.37i | 0.259819 | + | 0.960774i | ||||
\(148\) | 62.3708 | − | 3.38165i | 0.0346409 | − | 0.00187817i | ||||
\(149\) | 875.844 | + | 1652.02i | 0.481557 | + | 0.908312i | 0.998628 | + | 0.0523697i | \(0.0166774\pi\) |
−0.517071 | + | 0.855942i | \(0.672978\pi\) | |||||||
\(150\) | −59.1078 | + | 969.639i | −0.0321742 | + | 0.527805i | ||||
\(151\) | −229.595 | − | 302.028i | −0.123736 | − | 0.162773i | 0.730054 | − | 0.683390i | \(-0.239495\pi\) |
−0.853790 | + | 0.520617i | \(0.825702\pi\) | |||||||
\(152\) | 1896.29 | + | 1441.52i | 1.01190 | + | 0.769229i | ||||
\(153\) | 2087.03 | − | 1725.01i | 1.10279 | − | 0.911496i | ||||
\(154\) | 80.1867 | − | 75.9569i | 0.0419586 | − | 0.0397453i | ||||
\(155\) | 718.983 | + | 4385.60i | 0.372581 | + | 2.27265i | ||||
\(156\) | −20.4505 | + | 59.3737i | −0.0104958 | + | 0.0304724i | ||||
\(157\) | −560.648 | + | 1211.82i | −0.284997 | + | 0.616012i | −0.996211 | − | 0.0869638i | \(-0.972284\pi\) |
0.711214 | + | 0.702975i | \(0.248146\pi\) | |||||||
\(158\) | 680.810 | − | 1284.14i | 0.342800 | − | 0.646589i | ||||
\(159\) | −556.464 | + | 910.941i | −0.277550 | + | 0.454354i | ||||
\(160\) | 121.081 | + | 82.0950i | 0.0598269 | + | 0.0405636i | ||||
\(161\) | 219.887 | + | 48.4008i | 0.107637 | + | 0.0236927i | ||||
\(162\) | 1184.90 | − | 1650.32i | 0.574656 | − | 0.800379i | ||||
\(163\) | 282.558 | − | 170.009i | 0.135777 | − | 0.0816943i | −0.446045 | − | 0.895011i | \(-0.647168\pi\) |
0.581822 | + | 0.813316i | \(0.302340\pi\) | |||||||
\(164\) | −37.4111 | + | 31.7773i | −0.0178129 | + | 0.0151304i | ||||
\(165\) | 1144.18 | + | 1930.89i | 0.539846 | + | 0.911030i | ||||
\(166\) | −488.631 | + | 107.556i | −0.228464 | + | 0.0502888i | ||||
\(167\) | 1472.13 | + | 586.549i | 0.682135 | + | 0.271788i | 0.685357 | − | 0.728207i | \(-0.259646\pi\) |
−0.00322160 | + | 0.999995i | \(0.501025\pi\) | |||||||
\(168\) | −71.9163 | + | 133.474i | −0.0330266 | + | 0.0612961i | ||||
\(169\) | 78.6413 | − | 479.691i | 0.0357948 | − | 0.218339i | ||||
\(170\) | 2173.70 | + | 3205.97i | 0.980677 | + | 1.44639i | ||||
\(171\) | −2008.83 | − | 1954.74i | −0.898358 | − | 0.874167i | ||||
\(172\) | 35.1711 | − | 104.384i | 0.0155917 | − | 0.0462745i | ||||
\(173\) | −3548.25 | − | 385.896i | −1.55936 | − | 0.169590i | −0.712600 | − | 0.701571i | \(-0.752482\pi\) |
−0.846757 | + | 0.531980i | \(0.821448\pi\) | |||||||
\(174\) | −1411.26 | − | 1882.60i | −0.614869 | − | 0.820226i | ||||
\(175\) | −4.61843 | + | 85.1819i | −0.00199497 | + | 0.0367951i | ||||
\(176\) | −1934.76 | −0.828624 | ||||||||
\(177\) | −1106.76 | − | 2078.54i | −0.469995 | − | 0.882669i | ||||
\(178\) | 2450.61 | 1.03191 | ||||||||
\(179\) | −160.537 | + | 2960.94i | −0.0670343 | + | 1.23637i | 0.750647 | + | 0.660703i | \(0.229742\pi\) |
−0.817681 | + | 0.575671i | \(0.804741\pi\) | |||||||
\(180\) | −65.7765 | − | 57.4101i | −0.0272372 | − | 0.0237728i | ||||
\(181\) | −462.838 | − | 50.3366i | −0.190069 | − | 0.0206712i | 0.0125895 | − | 0.999921i | \(-0.495993\pi\) |
−0.202658 | + | 0.979250i | \(0.564958\pi\) | |||||||
\(182\) | 58.6146 | − | 173.962i | 0.0238726 | − | 0.0708512i | ||||
\(183\) | −3480.61 | + | 2325.94i | −1.40598 | + | 0.939553i | ||||
\(184\) | −2279.84 | − | 3362.51i | −0.913436 | − | 1.34722i | ||||
\(185\) | 600.281 | − | 3661.55i | 0.238560 | − | 1.45515i | ||||
\(186\) | 4087.86 | + | 2202.55i | 1.61149 | + | 0.868275i | ||||
\(187\) | 2903.45 | + | 1156.84i | 1.13541 | + | 0.452388i | ||||
\(188\) | 84.8902 | − | 18.6857i | 0.0329322 | − | 0.00724893i | ||||
\(189\) | 103.076 | − | 145.619i | 0.0396702 | − | 0.0560435i | ||||
\(190\) | 3056.04 | − | 2595.82i | 1.16688 | − | 0.991161i | ||||
\(191\) | 49.1308 | − | 29.5610i | 0.0186125 | − | 0.0111987i | −0.506217 | − | 0.862406i | \(-0.668957\pi\) |
0.524830 | + | 0.851207i | \(0.324129\pi\) | |||||||
\(192\) | 2596.15 | − | 855.366i | 0.975837 | − | 0.321514i | ||||
\(193\) | 1.91961 | + | 0.422537i | 0.000715939 | + | 0.000157590i | 0.215328 | − | 0.976542i | \(-0.430918\pi\) |
−0.214612 | + | 0.976699i | \(0.568849\pi\) | |||||||
\(194\) | −2330.50 | − | 1580.12i | −0.862474 | − | 0.584772i | ||||
\(195\) | 3183.35 | + | 1944.60i | 1.16905 | + | 0.714133i | ||||
\(196\) | 37.3083 | − | 70.3709i | 0.0135963 | − | 0.0256454i | ||||
\(197\) | 182.087 | − | 393.575i | 0.0658536 | − | 0.142340i | −0.871854 | − | 0.489766i | \(-0.837082\pi\) |
0.937707 | + | 0.347426i | \(0.112944\pi\) | |||||||
\(198\) | 2327.74 | + | 284.851i | 0.835483 | + | 0.102240i | ||||
\(199\) | 72.9635 | + | 445.058i | 0.0259912 | + | 0.158539i | 0.996633 | − | 0.0819896i | \(-0.0261274\pi\) |
−0.970642 | + | 0.240529i | \(0.922679\pi\) | |||||||
\(200\) | 1117.49 | − | 1058.54i | 0.395091 | − | 0.374250i | ||||
\(201\) | 450.317 | − | 234.881i | 0.158024 | − | 0.0824241i | ||||
\(202\) | 599.101 | + | 455.425i | 0.208676 | + | 0.158632i | ||||
\(203\) | −125.038 | − | 164.484i | −0.0432312 | − | 0.0568696i | ||||
\(204\) | −121.351 | − | 7.39740i | −0.0416485 | − | 0.00253883i | ||||
\(205\) | 1365.79 | + | 2576.15i | 0.465321 | + | 0.877689i | ||||
\(206\) | −2089.61 | + | 113.296i | −0.706749 | + | 0.0383188i | ||||
\(207\) | 2182.25 | + | 4253.28i | 0.732739 | + | 1.42813i | ||||
\(208\) | −2841.03 | + | 1506.22i | −0.947067 | + | 0.502103i | ||||
\(209\) | 865.564 | − | 3117.48i | 0.286470 | − | 1.03177i | ||||
\(210\) | 193.404 | + | 166.529i | 0.0635532 | + | 0.0547218i | ||||
\(211\) | −454.458 | + | 597.829i | −0.148276 | + | 0.195053i | −0.864234 | − | 0.503089i | \(-0.832197\pi\) |
0.715959 | + | 0.698142i | \(0.245990\pi\) | |||||||
\(212\) | 46.1830 | − | 12.8226i | 0.0149616 | − | 0.00415407i | ||||
\(213\) | −985.879 | − | 678.155i | −0.317142 | − | 0.218152i | ||||
\(214\) | 1684.93 | − | 276.230i | 0.538222 | − | 0.0882370i | ||||
\(215\) | −5606.60 | − | 3373.38i | −1.77845 | − | 1.07006i | ||||
\(216\) | −3157.17 | + | 628.521i | −0.994530 | + | 0.197988i | ||||
\(217\) | 360.268 | + | 191.002i | 0.112703 | + | 0.0597514i | ||||
\(218\) | 4032.88 | − | 4257.46i | 1.25294 | − | 1.32271i | ||||
\(219\) | −3066.33 | − | 1245.67i | −0.946133 | − | 0.384359i | ||||
\(220\) | 21.6643 | − | 98.4217i | 0.00663911 | − | 0.0301618i | ||||
\(221\) | 5164.08 | − | 561.628i | 1.57183 | − | 0.170947i | ||||
\(222\) | −2647.14 | − | 2832.43i | −0.800291 | − | 0.856306i | ||||
\(223\) | −1456.99 | − | 1715.30i | −0.437521 | − | 0.515089i | 0.498569 | − | 0.866850i | \(-0.333859\pi\) |
−0.936090 | + | 0.351761i | \(0.885583\pi\) | |||||||
\(224\) | 12.7199 | − | 4.28582i | 0.00379412 | − | 0.00127839i | ||||
\(225\) | −1456.52 | + | 1076.65i | −0.431563 | + | 0.319008i | ||||
\(226\) | 804.758 | − | 2019.79i | 0.236866 | − | 0.594489i | ||||
\(227\) | −2733.96 | + | 3218.66i | −0.799379 | + | 0.941102i | −0.999250 | − | 0.0387201i | \(-0.987672\pi\) |
0.199871 | + | 0.979822i | \(0.435948\pi\) | |||||||
\(228\) | 5.96925 | + | 125.713i | 0.00173387 | + | 0.0365155i | ||||
\(229\) | −3475.79 | + | 2356.65i | −1.00300 | + | 0.680050i | −0.947945 | − | 0.318433i | \(-0.896843\pi\) |
−0.0550538 | + | 0.998483i | \(0.517533\pi\) | |||||||
\(230\) | −6352.90 | + | 2531.23i | −1.82130 | + | 0.725670i | ||||
\(231\) | 204.575 | + | 23.6404i | 0.0582685 | + | 0.00673345i | ||||
\(232\) | −403.075 | + | 3706.21i | −0.114065 | + | 1.04881i | ||||
\(233\) | −2302.02 | + | 1065.03i | −0.647254 | + | 0.299451i | −0.715914 | − | 0.698189i | \(-0.753990\pi\) |
0.0686602 | + | 0.997640i | \(0.478128\pi\) | |||||||
\(234\) | 3639.86 | − | 1393.88i | 1.01686 | − | 0.389405i | ||||
\(235\) | − | 5163.42i | − | 1.43330i | ||||||
\(236\) | −27.4186 | + | 102.118i | −0.00756270 | + | 0.0281665i | ||||
\(237\) | 2650.47 | − | 564.772i | 0.726441 | − | 0.154793i | ||||
\(238\) | 354.878 | + | 19.2409i | 0.0966525 | + | 0.00524035i | ||||
\(239\) | −762.051 | − | 1647.15i | −0.206247 | − | 0.445795i | 0.776655 | − | 0.629926i | \(-0.216915\pi\) |
−0.982902 | + | 0.184131i | \(0.941053\pi\) | |||||||
\(240\) | −453.496 | − | 4447.60i | −0.121971 | − | 1.19621i | ||||
\(241\) | 3142.85 | + | 1058.95i | 0.840036 | + | 0.283041i | 0.706244 | − | 0.707968i | \(-0.250388\pi\) |
0.133792 | + | 0.991009i | \(0.457285\pi\) | |||||||
\(242\) | −371.021 | − | 931.191i | −0.0985542 | − | 0.247352i | ||||
\(243\) | 3777.42 | − | 282.856i | 0.997208 | − | 0.0746718i | ||||
\(244\) | 185.491 | + | 30.4097i | 0.0486674 | + | 0.00797861i | ||||
\(245\) | −3606.07 | − | 3063.02i | −0.940340 | − | 0.798732i | ||||
\(246\) | 3003.08 | + | 513.069i | 0.778330 | + | 0.132976i | ||||
\(247\) | −1155.97 | − | 5251.60i | −0.297783 | − | 1.35284i | ||||
\(248\) | −2349.29 | − | 6972.45i | −0.601533 | − | 1.78529i | ||||
\(249\) | −738.838 | − | 569.522i | −0.188040 | − | 0.144948i | ||||
\(250\) | 1153.29 | + | 1916.79i | 0.291762 | + | 0.484913i | ||||
\(251\) | −202.224 | − | 1859.42i | −0.0508537 | − | 0.467592i | −0.991682 | − | 0.128709i | \(-0.958917\pi\) |
0.940829 | − | 0.338883i | \(-0.110049\pi\) | |||||||
\(252\) | −7.84587 | + | 1.61680i | −0.00196128 | + | 0.000404163i | ||||
\(253\) | −3096.66 | + | 4567.23i | −0.769507 | + | 1.13494i | ||||
\(254\) | 248.913 | + | 235.783i | 0.0614891 | + | 0.0582455i | ||||
\(255\) | −1978.79 | + | 6945.59i | −0.485946 | + | 1.70569i | ||||
\(256\) | −324.967 | − | 150.346i | −0.0793377 | − | 0.0367055i | ||||
\(257\) | −2916.37 | + | 4847.05i | −0.707854 | + | 1.17646i | 0.269121 | + | 0.963106i | \(0.413267\pi\) |
−0.976975 | + | 0.213356i | \(0.931561\pi\) | |||||||
\(258\) | −6367.98 | + | 2487.80i | −1.53664 | + | 0.600324i | ||||
\(259\) | −234.125 | − | 247.163i | −0.0561692 | − | 0.0592971i | ||||
\(260\) | −44.8097 | − | 161.390i | −0.0106884 | − | 0.0384960i | ||||
\(261\) | 1000.52 | − | 4271.25i | 0.237283 | − | 1.01297i | ||||
\(262\) | 2634.16 | − | 2002.44i | 0.621141 | − | 0.472179i | ||||
\(263\) | 4759.00 | + | 1321.33i | 1.11579 | + | 0.309798i | 0.776018 | − | 0.630710i | \(-0.217236\pi\) |
0.339772 | + | 0.940508i | \(0.389650\pi\) | |||||||
\(264\) | −2386.50 | − | 2848.16i | −0.556359 | − | 0.663985i | ||||
\(265\) | −154.143 | − | 2843.00i | −0.0357318 | − | 0.659034i | ||||
\(266\) | −19.9180 | − | 367.365i | −0.00459116 | − | 0.0846790i | ||||
\(267\) | 2934.56 | + | 3502.24i | 0.672630 | + | 0.802749i | ||||
\(268\) | −21.9737 | − | 6.10096i | −0.00500842 | − | 0.00139058i | ||||
\(269\) | −2428.83 | + | 1846.35i | −0.550515 | + | 0.418490i | −0.843106 | − | 0.537747i | \(-0.819276\pi\) |
0.292591 | + | 0.956238i | \(0.405482\pi\) | |||||||
\(270\) | −109.203 | + | 5417.77i | −0.0246143 | + | 1.22117i | ||||
\(271\) | −733.031 | − | 2640.14i | −0.164312 | − | 0.591797i | −0.999147 | − | 0.0412971i | \(-0.986851\pi\) |
0.834835 | − | 0.550500i | \(-0.185563\pi\) | |||||||
\(272\) | −4281.27 | − | 4519.68i | −0.954375 | − | 1.00752i | ||||
\(273\) | 318.805 | − | 124.548i | 0.0706775 | − | 0.0276118i | ||||
\(274\) | 2325.28 | − | 3864.64i | 0.512683 | − | 0.852086i | ||||
\(275\) | −1897.49 | − | 877.872i | −0.416084 | − | 0.192501i | ||||
\(276\) | 58.8123 | − | 206.433i | 0.0128264 | − | 0.0450210i | ||||
\(277\) | −1967.35 | − | 1863.57i | −0.426738 | − | 0.404227i | 0.443960 | − | 0.896047i | \(-0.353573\pi\) |
−0.870697 | + | 0.491819i | \(0.836332\pi\) | |||||||
\(278\) | 2340.36 | − | 3451.77i | 0.504911 | − | 0.744688i | ||||
\(279\) | 1747.40 | + | 8479.62i | 0.374961 | + | 1.81958i | ||||
\(280\) | −43.7229 | − | 402.025i | −0.00933194 | − | 0.0858058i | ||||
\(281\) | −2104.25 | − | 3497.30i | −0.446723 | − | 0.742460i | 0.548903 | − | 0.835886i | \(-0.315046\pi\) |
−0.995626 | + | 0.0934260i | \(0.970218\pi\) | |||||||
\(282\) | −4272.90 | − | 3293.70i | −0.902297 | − | 0.695522i | ||||
\(283\) | −1580.16 | − | 4689.76i | −0.331911 | − | 0.985078i | −0.975556 | − | 0.219753i | \(-0.929475\pi\) |
0.643644 | − | 0.765325i | \(-0.277422\pi\) | |||||||
\(284\) | 11.5501 | + | 52.4725i | 0.00241328 | + | 0.0109636i | ||||
\(285\) | 7369.32 | + | 1259.03i | 1.53165 | + | 0.261679i | ||||
\(286\) | 3428.98 | + | 2912.60i | 0.708950 | + | 0.602187i | ||||
\(287\) | 264.012 | + | 43.2826i | 0.0543002 | + | 0.00890206i | ||||
\(288\) | 242.199 | + | 150.195i | 0.0495545 | + | 0.0307302i | ||||
\(289\) | 1903.90 | + | 4778.42i | 0.387522 | + | 0.972607i | ||||
\(290\) | 5947.08 | + | 2003.80i | 1.20422 | + | 0.405750i | ||||
\(291\) | −532.533 | − | 5222.75i | −0.107277 | − | 1.05211i | ||||
\(292\) | 62.3992 | + | 134.874i | 0.0125056 | + | 0.0270304i | ||||
\(293\) | −6961.29 | − | 377.430i | −1.38800 | − | 0.0752550i | −0.655073 | − | 0.755566i | \(-0.727362\pi\) |
−0.732924 | + | 0.680311i | \(0.761845\pi\) | |||||||
\(294\) | −4835.03 | + | 1030.27i | −0.959132 | + | 0.204375i | ||||
\(295\) | 5574.11 | + | 2894.68i | 1.10013 | + | 0.571305i | ||||
\(296\) | 6142.88i | 1.20624i | ||||||||
\(297\) | 2380.34 | + | 3667.76i | 0.465056 | + | 0.716582i | ||||
\(298\) | −4729.36 | + | 2188.04i | −0.919344 | + | 0.425334i | ||||
\(299\) | −991.573 | + | 9117.36i | −0.191786 | + | 1.76345i | ||||
\(300\) | 80.7897 | + | 9.33597i | 0.0155480 | + | 0.00179671i | ||||
\(301\) | −557.725 | + | 222.218i | −0.106800 | + | 0.0425529i | ||||
\(302\) | 875.120 | − | 593.346i | 0.166747 | − | 0.113057i | ||||
\(303\) | 66.5504 | + | 1401.56i | 0.0126179 | + | 0.265734i | ||||
\(304\) | −4172.12 | + | 4911.80i | −0.787130 | + | 0.926681i | ||||
\(305\) | 4132.87 | − | 10372.7i | 0.775893 | − | 1.94735i | ||||
\(306\) | 4485.46 | + | 6068.04i | 0.837962 | + | 1.13362i | ||||
\(307\) | 6858.64 | − | 2310.95i | 1.27506 | − | 0.429618i | 0.401288 | − | 0.915952i | \(-0.368563\pi\) |
0.873773 | + | 0.486334i | \(0.161666\pi\) | |||||||
\(308\) | −5.98622 | − | 7.04753i | −0.00110746 | − | 0.00130380i | ||||
\(309\) | −2664.19 | − | 2850.67i | −0.490487 | − | 0.524818i | ||||
\(310\) | −12312.7 | + | 1339.09i | −2.25585 | + | 0.245339i | ||||
\(311\) | −107.436 | + | 488.088i | −0.0195889 | + | 0.0889933i | −0.985401 | − | 0.170251i | \(-0.945542\pi\) |
0.965812 | + | 0.259244i | \(0.0834733\pi\) | |||||||
\(312\) | −5721.68 | − | 2324.38i | −1.03822 | − | 0.421770i | ||||
\(313\) | 901.130 | − | 951.311i | 0.162731 | − | 0.171793i | −0.639531 | − | 0.768766i | \(-0.720871\pi\) |
0.802262 | + | 0.596972i | \(0.203630\pi\) | |||||||
\(314\) | −3287.65 | − | 1743.00i | −0.590869 | − | 0.313259i | ||||
\(315\) | −6.39333 | + | 475.816i | −0.00114357 | + | 0.0851085i | ||||
\(316\) | −104.263 | − | 62.7331i | −0.0185610 | − | 0.0111678i | ||||
\(317\) | 372.566 | − | 61.0791i | 0.0660107 | − | 0.0108219i | −0.128686 | − | 0.991685i | \(-0.541076\pi\) |
0.194697 | + | 0.980863i | \(0.437628\pi\) | |||||||
\(318\) | −2451.00 | − | 1685.96i | −0.432218 | − | 0.297309i | ||||
\(319\) | 4879.18 | − | 1354.70i | 0.856369 | − | 0.237770i | ||||
\(320\) | −4412.16 | + | 5804.10i | −0.770772 | + | 1.01393i | ||||
\(321\) | 2412.45 | + | 2077.21i | 0.419469 | + | 0.361179i | ||||
\(322\) | −167.866 | + | 604.597i | −0.0290521 | + | 0.104636i | ||||
\(323\) | 9197.91 | − | 4876.43i | 1.58448 | − | 0.840036i | ||||
\(324\) | −132.589 | − | 106.532i | −0.0227348 | − | 0.0182668i | ||||
\(325\) | −3469.73 | + | 188.124i | −0.592204 | + | 0.0321084i | ||||
\(326\) | 430.469 | + | 811.950i | 0.0731333 | + | 0.137944i | ||||
\(327\) | 10913.8 | + | 665.289i | 1.84567 | + | 0.112509i | ||||
\(328\) | −2921.37 | − | 3843.00i | −0.491786 | − | 0.646933i | ||||
\(329\) | −377.160 | − | 286.710i | −0.0632022 | − | 0.0480451i | ||||
\(330\) | −5545.91 | + | 2892.69i | −0.925128 | + | 0.482538i | ||||
\(331\) | 2589.45 | − | 2452.86i | 0.429998 | − | 0.407315i | −0.441853 | − | 0.897088i | \(-0.645679\pi\) |
0.871850 | + | 0.489772i | \(0.162920\pi\) | |||||||
\(332\) | 6.77651 | + | 41.3349i | 0.00112021 | + | 0.00683297i | ||||
\(333\) | 878.006 | − | 7174.90i | 0.144488 | − | 1.18073i | ||||
\(334\) | −1854.36 | + | 4008.12i | −0.303790 | + | 0.656631i | ||||
\(335\) | −634.541 | + | 1196.87i | −0.103489 | + | 0.195200i | ||||
\(336\) | −350.055 | − | 213.837i | −0.0568365 | − | 0.0347195i | ||||
\(337\) | 9976.18 | + | 6764.02i | 1.61257 | + | 1.09335i | 0.933079 | + | 0.359671i | \(0.117111\pi\) |
0.679494 | + | 0.733681i | \(0.262199\pi\) | |||||||
\(338\) | 1323.01 | + | 291.217i | 0.212907 | + | 0.0468643i | ||||
\(339\) | 3850.23 | − | 1268.56i | 0.616861 | − | 0.203241i | ||||
\(340\) | 277.857 | − | 167.181i | 0.0443203 | − | 0.0266666i | ||||
\(341\) | −7616.79 | + | 6469.76i | −1.20960 | + | 1.02744i | ||||
\(342\) | 5742.72 | − | 5295.23i | 0.907984 | − | 0.837232i | ||||
\(343\) | −849.952 | + | 187.089i | −0.133799 | + | 0.0294514i | ||||
\(344\) | 10063.4 | + | 4009.61i | 1.57727 | + | 0.628441i | ||||
\(345\) | −11225.0 | − | 6048.04i | −1.75168 | − | 0.943813i | ||||
\(346\) | 1609.22 | − | 9815.82i | 0.250036 | − | 1.52515i | ||||
\(347\) | 4613.71 | + | 6804.72i | 0.713767 | + | 1.05273i | 0.995640 | + | 0.0932760i | \(0.0297339\pi\) |
−0.281873 | + | 0.959452i | \(0.590956\pi\) | |||||||
\(348\) | −163.773 | + | 109.442i | −0.0252275 | + | 0.0168584i | ||||
\(349\) | −219.228 | + | 650.644i | −0.0336246 | + | 0.0997942i | −0.963151 | − | 0.268962i | \(-0.913320\pi\) |
0.929526 | + | 0.368756i | \(0.120216\pi\) | |||||||
\(350\) | −236.347 | − | 25.7043i | −0.0360950 | − | 0.00392557i | ||||
\(351\) | 6350.70 | + | 3532.69i | 0.965742 | + | 0.537211i | ||||
\(352\) | −17.8096 | + | 328.479i | −0.00269675 | + | 0.0497386i | ||||
\(353\) | 3249.56 | 0.489962 | 0.244981 | − | 0.969528i | \(-0.421218\pi\) | ||||
0.244981 | + | 0.969528i | \(0.421218\pi\) | |||||||
\(354\) | 5951.12 | − | 2766.27i | 0.893499 | − | 0.415326i | ||||
\(355\) | 3191.63 | 0.477166 | ||||||||
\(356\) | 11.1072 | − | 204.860i | 0.00165360 | − | 0.0304988i | ||||
\(357\) | 397.462 | + | 530.208i | 0.0589241 | + | 0.0786039i | ||||
\(358\) | −8215.45 | − | 893.484i | −1.21285 | − | 0.131905i | ||||
\(359\) | 8.47094 | − | 25.1408i | 0.00124535 | − | 0.00369605i | −0.947029 | − | 0.321149i | \(-0.895931\pi\) |
0.948274 | + | 0.317453i | \(0.102828\pi\) | |||||||
\(360\) | 5987.95 | − | 6153.65i | 0.876646 | − | 0.900905i | ||||
\(361\) | −2198.71 | − | 3242.85i | −0.320558 | − | 0.472788i | ||||
\(362\) | 209.909 | − | 1280.39i | 0.0304767 | − | 0.185899i | ||||
\(363\) | 886.506 | − | 1645.32i | 0.128180 | − | 0.237898i | ||||
\(364\) | −14.2768 | − | 5.68840i | −0.00205579 | − | 0.000819102i | ||||
\(365\) | 8621.37 | − | 1897.71i | 1.23634 | − | 0.272138i | ||||
\(366\) | −5947.45 | − | 10036.8i | −0.849394 | − | 1.43341i | ||||
\(367\) | −1813.06 | + | 1540.03i | −0.257877 | + | 0.219043i | −0.766993 | − | 0.641655i | \(-0.778248\pi\) |
0.509116 | + | 0.860698i | \(0.329972\pi\) | |||||||
\(368\) | 9417.99 | − | 5666.61i | 1.33409 | − | 0.802697i | ||||
\(369\) | 2862.89 | + | 4906.19i | 0.403891 | + | 0.692157i | ||||
\(370\) | 10098.8 | + | 2222.91i | 1.41895 | + | 0.312334i | ||||
\(371\) | −216.225 | − | 146.604i | −0.0302583 | − | 0.0205156i | ||||
\(372\) | 202.652 | − | 331.745i | 0.0282447 | − | 0.0462370i | ||||
\(373\) | 4673.65 | − | 8815.43i | 0.648773 | − | 1.22372i | −0.312970 | − | 0.949763i | \(-0.601324\pi\) |
0.961743 | − | 0.273953i | \(-0.0883311\pi\) | |||||||
\(374\) | −3657.32 | + | 7905.16i | −0.505656 | + | 1.09296i | ||||
\(375\) | −1358.30 | + | 3943.53i | −0.187046 | + | 0.543048i | ||||
\(376\) | 1382.98 | + | 8435.80i | 0.189685 | + | 1.15703i | ||||
\(377\) | 6110.03 | − | 5787.73i | 0.834702 | − | 0.790671i | ||||
\(378\) | 389.675 | + | 308.809i | 0.0530231 | + | 0.0420197i | ||||
\(379\) | −1578.64 | − | 1200.05i | −0.213956 | − | 0.162645i | 0.492707 | − | 0.870195i | \(-0.336007\pi\) |
−0.706663 | + | 0.707550i | \(0.749800\pi\) | |||||||
\(380\) | −203.148 | − | 267.237i | −0.0274244 | − | 0.0360762i | ||||
\(381\) | −38.8963 | + | 638.077i | −0.00523023 | + | 0.0857997i | ||||
\(382\) | 74.8494 | + | 141.181i | 0.0100252 | + | 0.0189095i | ||||
\(383\) | −11552.1 | + | 626.338i | −1.54122 | + | 0.0835623i | −0.805037 | − | 0.593224i | \(-0.797855\pi\) |
−0.736179 | + | 0.676787i | \(0.763372\pi\) | |||||||
\(384\) | 1874.06 | + | 6930.03i | 0.249050 | + | 0.920955i | ||||
\(385\) | −485.297 | + | 257.288i | −0.0642417 | + | 0.0340588i | ||||
\(386\) | −1.46546 | + | 5.27811i | −0.000193238 | + | 0.000695981i | ||||
\(387\) | −11180.9 | − | 6121.60i | −1.46863 | − | 0.804079i | ||||
\(388\) | −142.654 | + | 187.658i | −0.0186653 | + | 0.0245538i | ||||
\(389\) | −7005.60 | + | 1945.09i | −0.913105 | + | 0.253522i | −0.692143 | − | 0.721760i | \(-0.743333\pi\) |
−0.220962 | + | 0.975282i | \(0.570920\pi\) | |||||||
\(390\) | −5891.73 | + | 8565.20i | −0.764972 | + | 1.11209i | ||||
\(391\) | −17521.6 | + | 2872.52i | −2.26626 | + | 0.371534i | ||||
\(392\) | 6711.86 | + | 4038.39i | 0.864796 | + | 0.520330i | ||||
\(393\) | 6016.10 | + | 1366.68i | 0.772194 | + | 0.175420i | ||||
\(394\) | 1067.76 | + | 566.092i | 0.136531 | + | 0.0723840i | ||||
\(395\) | −4970.81 | + | 5247.62i | −0.633186 | + | 0.668447i | ||||
\(396\) | 34.3626 | − | 193.298i | 0.00436057 | − | 0.0245293i | ||||
\(397\) | −530.020 | + | 2407.91i | −0.0670049 | + | 0.304406i | −0.998190 | − | 0.0601406i | \(-0.980845\pi\) |
0.931185 | + | 0.364547i | \(0.118776\pi\) | |||||||
\(398\) | −1249.51 | + | 135.893i | −0.157368 | + | 0.0171148i | ||||
\(399\) | 501.162 | − | 468.379i | 0.0628809 | − | 0.0587676i | ||||
\(400\) | 2696.03 | + | 3174.01i | 0.337003 | + | 0.396751i | ||||
\(401\) | 781.844 | − | 263.434i | 0.0973652 | − | 0.0328062i | −0.270197 | − | 0.962805i | \(-0.587089\pi\) |
0.367563 | + | 0.929999i | \(0.380192\pi\) | |||||||
\(402\) | 585.682 | + | 1288.58i | 0.0726646 | + | 0.159871i | ||||
\(403\) | −6147.88 | + | 15430.0i | −0.759920 | + | 1.90725i | ||||
\(404\) | 40.7869 | − | 48.0181i | 0.00502283 | − | 0.00591334i | ||||
\(405\) | −7873.48 | + | 6331.62i | −0.966016 | + | 0.776841i | ||||
\(406\) | 476.591 | − | 323.137i | 0.0582582 | − | 0.0395000i | ||||
\(407\) | 7751.14 | − | 3088.34i | 0.944004 | − | 0.376126i | ||||
\(408\) | 1372.54 | − | 11877.4i | 0.166547 | − | 1.44123i | ||||
\(409\) | −1300.13 | + | 11954.5i | −0.157182 | + | 1.44526i | 0.604134 | + | 0.796882i | \(0.293519\pi\) |
−0.761316 | + | 0.648381i | \(0.775447\pi\) | |||||||
\(410\) | −7374.96 | + | 3412.02i | −0.888349 | + | 0.410994i | ||||
\(411\) | 8307.57 | − | 1304.71i | 0.997037 | − | 0.156585i | ||||
\(412\) | 175.196i | 0.0209497i | ||||||||
\(413\) | 520.955 | − | 246.426i | 0.0620691 | − | 0.0293603i | ||||
\(414\) | −12165.2 | + | 5431.02i | −1.44418 | + | 0.644735i | ||||
\(415\) | 2484.53 | + | 134.707i | 0.293882 | + | 0.0159338i | ||||
\(416\) | 229.571 | + | 496.209i | 0.0270568 | + | 0.0584823i | ||||
\(417\) | 7735.57 | − | 788.751i | 0.908424 | − | 0.0926266i | ||||
\(418\) | 8544.70 | + | 2879.04i | 0.999844 | + | 0.336887i | ||||
\(419\) | 2955.51 | + | 7417.78i | 0.344597 | + | 0.864874i | 0.994488 | + | 0.104847i | \(0.0334353\pi\) |
−0.649891 | + | 0.760028i | \(0.725185\pi\) | |||||||
\(420\) | 14.7977 | − | 15.4130i | 0.00171917 | − | 0.00179066i | ||||
\(421\) | −16028.1 | − | 2627.67i | −1.85549 | − | 0.304192i | −0.872608 | − | 0.488421i | \(-0.837573\pi\) |
−0.982884 | + | 0.184228i | \(0.941021\pi\) | |||||||
\(422\) | −1595.06 | − | 1354.86i | −0.183996 | − | 0.156288i | ||||
\(423\) | −409.588 | − | 10050.7i | −0.0470800 | − | 1.15528i | ||||
\(424\) | 1013.30 | + | 4603.49i | 0.116062 | + | 0.527276i | ||||
\(425\) | −2148.05 | − | 6375.20i | −0.245167 | − | 0.727630i | ||||
\(426\) | 2035.91 | − | 2641.18i | 0.231550 | − | 0.300388i | ||||
\(427\) | −528.185 | − | 877.851i | −0.0598611 | − | 0.0994899i | ||||
\(428\) | −15.4548 | − | 142.105i | −0.00174542 | − | 0.0160488i | ||||
\(429\) | −56.3521 | + | 8388.25i | −0.00634197 | + | 0.944029i | ||||
\(430\) | 10233.3 | − | 15093.0i | 1.14766 | − | 1.69267i | ||||
\(431\) | 10259.9 | + | 9718.65i | 1.14664 | + | 1.08615i | 0.995218 | + | 0.0976813i | \(0.0311426\pi\) |
0.151418 | + | 0.988470i | \(0.451616\pi\) | |||||||
\(432\) | −1235.54 | − | 8621.37i | −0.137604 | − | 0.960175i | ||||
\(433\) | 5889.48 | + | 2724.77i | 0.653650 | + | 0.302411i | 0.718544 | − | 0.695481i | \(-0.244809\pi\) |
−0.0648939 | + | 0.997892i | \(0.520671\pi\) | |||||||
\(434\) | −585.875 | + | 973.731i | −0.0647993 | + | 0.107697i | ||||
\(435\) | 4257.82 | + | 10898.7i | 0.469303 | + | 1.20127i | ||||
\(436\) | −337.627 | − | 356.428i | −0.0370857 | − | 0.0391509i | ||||
\(437\) | 4917.25 | + | 17710.3i | 0.538270 | + | 1.93867i | ||||
\(438\) | 3929.08 | − | 8345.00i | 0.428627 | − | 0.910364i | ||||
\(439\) | −11755.5 | + | 8936.29i | −1.27804 | + | 0.971539i | −0.278098 | + | 0.960553i | \(0.589704\pi\) |
−0.999940 | + | 0.0109865i | \(0.996503\pi\) | |||||||
\(440\) | 9549.77 | + | 2651.48i | 1.03470 | + | 0.287283i | ||||
\(441\) | −7262.25 | − | 5676.18i | −0.784176 | − | 0.612912i | ||||
\(442\) | 783.744 | + | 14455.3i | 0.0843414 | + | 1.55559i | ||||
\(443\) | −464.642 | − | 8569.81i | −0.0498325 | − | 0.919106i | −0.911415 | − | 0.411489i | \(-0.865009\pi\) |
0.861582 | − | 0.507618i | \(-0.169474\pi\) | |||||||
\(444\) | −248.776 | + | 208.452i | −0.0265910 | + | 0.0222808i | ||||
\(445\) | −11742.9 | − | 3260.40i | −1.25094 | − | 0.347321i | ||||
\(446\) | 4993.15 | − | 3795.69i | 0.530117 | − | 0.402985i | ||||
\(447\) | −8790.32 | − | 4138.75i | −0.930130 | − | 0.437934i | ||||
\(448\) | 178.964 | + | 644.569i | 0.0188733 | + | 0.0679755i | ||||
\(449\) | 4450.27 | + | 4698.10i | 0.467754 | + | 0.493801i | 0.916599 | − | 0.399808i | \(-0.130923\pi\) |
−0.448845 | + | 0.893609i | \(0.648165\pi\) | |||||||
\(450\) | −2776.34 | − | 4215.64i | −0.290840 | − | 0.441616i | ||||
\(451\) | −3380.41 | + | 5618.28i | −0.352943 | + | 0.586596i | ||||
\(452\) | −165.198 | − | 76.4288i | −0.0171909 | − | 0.00795334i | ||||
\(453\) | 1895.91 | + | 540.142i | 0.196640 | + | 0.0560222i | ||||
\(454\) | −8544.37 | − | 8093.66i | −0.883276 | − | 0.836683i | ||||
\(455\) | −512.318 | + | 755.613i | −0.0527865 | + | 0.0778543i | ||||
\(456\) | −12376.9 | − | 83.1479i | −1.27106 | − | 0.00853895i | ||||
\(457\) | −398.917 | − | 3667.99i | −0.0408328 | − | 0.375451i | −0.996669 | − | 0.0815516i | \(-0.974012\pi\) |
0.955836 | − | 0.293899i | \(-0.0949531\pi\) | |||||||
\(458\) | −6033.63 | − | 10028.0i | −0.615574 | − | 1.02309i | ||||
\(459\) | −3300.78 | + | 13676.7i | −0.335659 | + | 1.39079i | ||||
\(460\) | 182.806 | + | 542.548i | 0.0185290 | + | 0.0549922i | ||||
\(461\) | −1264.26 | − | 5743.57i | −0.127727 | − | 0.580271i | −0.996392 | − | 0.0848704i | \(-0.972952\pi\) |
0.868665 | − | 0.495400i | \(-0.164979\pi\) | |||||||
\(462\) | −96.6523 | + | 565.722i | −0.00973306 | + | 0.0569692i | ||||
\(463\) | 5143.58 | + | 4368.99i | 0.516290 | + | 0.438541i | 0.867267 | − | 0.497843i | \(-0.165875\pi\) |
−0.350977 | + | 0.936384i | \(0.614150\pi\) | |||||||
\(464\) | −9953.53 | − | 1631.80i | −0.995865 | − | 0.163264i | ||||
\(465\) | −16658.0 | − | 15992.9i | −1.66128 | − | 1.59496i | ||||
\(466\) | −2616.42 | − | 6566.72i | −0.260093 | − | 0.652784i | ||||
\(467\) | −103.175 | − | 34.7635i | −0.0102234 | − | 0.00344468i | 0.314185 | − | 0.949362i | \(-0.398269\pi\) |
−0.324409 | + | 0.945917i | \(0.605165\pi\) | |||||||
\(468\) | −100.025 | − | 310.594i | −0.00987961 | − | 0.0306778i | ||||
\(469\) | 52.1908 | + | 112.808i | 0.00513848 | + | 0.0111066i | ||||
\(470\) | 14368.7 | + | 779.050i | 1.41017 | + | 0.0764572i | ||||
\(471\) | −1445.92 | − | 6785.71i | −0.141454 | − | 0.663841i | ||||
\(472\) | −9882.08 | − | 3236.24i | −0.963686 | − | 0.315593i | ||||
\(473\) | − | 14713.9i | − | 1.43033i | ||||||
\(474\) | 1171.74 | + | 7460.92i | 0.113544 | + | 0.722978i | ||||
\(475\) | −6320.43 | + | 2924.14i | −0.610529 | + | 0.282461i | ||||
\(476\) | 3.21691 | − | 29.5790i | 0.000309762 | − | 0.00284822i | ||||
\(477\) | −525.562 | − | 5521.72i | −0.0504483 | − | 0.530025i | ||||
\(478\) | 4698.64 | − | 1872.11i | 0.449604 | − | 0.179139i | ||||
\(479\) | 5049.15 | − | 3423.41i | 0.481632 | − | 0.326554i | −0.296093 | − | 0.955159i | \(-0.595684\pi\) |
0.777725 | + | 0.628605i | \(0.216374\pi\) | |||||||
\(480\) | −759.280 | + | 36.0530i | −0.0722005 | + | 0.00342831i | ||||
\(481\) | 8977.62 | − | 10569.3i | 0.851027 | − | 1.00191i | ||||
\(482\) | −3421.02 | + | 8586.12i | −0.323285 | + | 0.811384i | ||||
\(483\) | −1065.07 | + | 484.092i | −0.100336 | + | 0.0456045i | ||||
\(484\) | −79.5252 | + | 26.7951i | −0.00746855 | + | 0.00251645i | ||||
\(485\) | 9065.09 | + | 10672.2i | 0.848710 | + | 0.999179i | ||||
\(486\) | 217.199 | + | 10554.4i | 0.0202723 | + | 0.985101i | ||||
\(487\) | −2230.67 | + | 242.600i | −0.207559 | + | 0.0225734i | −0.211308 | − | 0.977420i | \(-0.567772\pi\) |
0.00374889 | + | 0.999993i | \(0.498807\pi\) | |||||||
\(488\) | −3973.87 | + | 18053.5i | −0.368625 | + | 1.67468i | ||||
\(489\) | −644.906 | + | 1587.49i | −0.0596394 | + | 0.146808i | ||||
\(490\) | 9067.83 | − | 9572.79i | 0.836006 | − | 0.882560i | ||||
\(491\) | −18145.9 | − | 9620.35i | −1.66785 | − | 0.884237i | −0.988642 | − | 0.150288i | \(-0.951980\pi\) |
−0.679205 | − | 0.733948i | \(-0.737675\pi\) | |||||||
\(492\) | 56.5015 | − | 248.719i | 0.00517741 | − | 0.0227909i | ||||
\(493\) | 13961.4 | + | 8400.29i | 1.27543 | + | 0.767403i | ||||
\(494\) | 14788.5 | − | 2424.46i | 1.34690 | − | 0.220813i | ||||
\(495\) | −10775.2 | − | 4461.89i | −0.978400 | − | 0.405146i | ||||
\(496\) | 19180.6 | − | 5325.48i | 1.73636 | − | 0.482099i | ||||
\(497\) | 177.222 | − | 233.131i | 0.0159949 | − | 0.0210410i | ||||
\(498\) | 1696.34 | − | 1970.10i | 0.152640 | − | 0.177274i | ||||
\(499\) | 3177.23 | − | 11443.3i | 0.285034 | − | 1.02660i | −0.672928 | − | 0.739708i | \(-0.734964\pi\) |
0.957963 | − | 0.286893i | \(-0.0926225\pi\) | |||||||
\(500\) | 165.462 | − | 87.7225i | 0.0147994 | − | 0.00784614i | ||||
\(501\) | −7948.70 | + | 2149.54i | −0.708826 | + | 0.191685i | ||||
\(502\) | 5204.89 | − | 282.201i | 0.462760 | − | 0.0250901i | ||||
\(503\) | 896.153 | + | 1690.32i | 0.0794383 | + | 0.149837i | 0.920049 | − | 0.391803i | \(-0.128149\pi\) |
−0.840611 | + | 0.541640i | \(0.817804\pi\) | |||||||
\(504\) | −116.998 | − | 779.081i | −0.0103403 | − | 0.0688552i | ||||
\(505\) | −2264.87 | − | 2979.39i | −0.199575 | − | 0.262537i | ||||
\(506\) | −12242.4 | − | 9306.45i | −1.07558 | − | 0.817633i | ||||
\(507\) | 1168.10 | + | 2239.49i | 0.102322 | + | 0.196172i | ||||
\(508\) | 20.8386 | − | 19.7394i | 0.00182001 | − | 0.00172401i | ||||
\(509\) | −2917.41 | − | 17795.4i | −0.254051 | − | 1.54964i | −0.738155 | − | 0.674631i | \(-0.764303\pi\) |
0.484104 | − | 0.875011i | \(-0.339146\pi\) | |||||||
\(510\) | −19029.6 | − | 6554.49i | −1.65224 | − | 0.569093i | ||||
\(511\) | 340.102 | − | 735.119i | 0.0294427 | − | 0.0636394i | ||||
\(512\) | 5644.60 | − | 10646.9i | 0.487224 | − | 0.919002i | ||||
\(513\) | 14444.4 | + | 1866.16i | 1.24315 | + | 0.160610i | ||||
\(514\) | −13048.3 | − | 8846.97i | −1.11972 | − | 0.759189i | ||||
\(515\) | 10163.8 | + | 2237.22i | 0.869652 | + | 0.191425i | ||||
\(516\) | 179.107 | + | 543.611i | 0.0152805 | + | 0.0463782i | ||||
\(517\) | 9949.07 | − | 5986.16i | 0.846343 | − | 0.509228i | ||||
\(518\) | 723.126 | − | 614.229i | 0.0613366 | − | 0.0520998i | ||||
\(519\) | 15955.1 | − | 9454.48i | 1.34943 | − | 0.799626i | ||||
\(520\) | 16087.2 | − | 3541.07i | 1.35668 | − | 0.298627i | ||||
\(521\) | −300.370 | − | 119.678i | −0.0252581 | − | 0.0100637i | 0.357475 | − | 0.933923i | \(-0.383638\pi\) |
−0.382733 | + | 0.923859i | \(0.625017\pi\) | |||||||
\(522\) | 11735.0 | + | 3428.69i | 0.983964 | + | 0.287490i | ||||
\(523\) | 65.9146 | − | 402.061i | 0.00551098 | − | 0.0336155i | −0.983928 | − | 0.178566i | \(-0.942854\pi\) |
0.989439 | + | 0.144951i | \(0.0463024\pi\) | |||||||
\(524\) | −155.456 | − | 229.280i | −0.0129601 | − | 0.0191148i | ||||
\(525\) | −246.286 | − | 368.551i | −0.0204739 | − | 0.0306379i | ||||
\(526\) | −4395.02 | + | 13044.0i | −0.364319 | + | 1.08126i | ||||
\(527\) | −31968.2 | − | 3476.76i | −2.64243 | − | 0.287381i | ||||
\(528\) | 8044.04 | − | 6030.09i | 0.663015 | − | 0.497019i | ||||
\(529\) | 1038.43 | − | 19152.8i | 0.0853485 | − | 1.57416i | ||||
\(530\) | 7934.72 | 0.650306 | ||||||||
\(531\) | 11079.7 | + | 5192.38i | 0.905498 | + | 0.424351i | ||||
\(532\) | −30.8004 | −0.00251009 | ||||||||
\(533\) | −589.986 | + | 10881.6i | −0.0479458 | + | 0.884308i | ||||
\(534\) | −10188.8 | + | 7637.85i | −0.825677 | + | 0.618955i | ||||
\(535\) | −8441.41 | − | 918.059i | −0.682157 | − | 0.0741891i | ||||
\(536\) | 716.116 | − | 2125.36i | 0.0577080 | − | 0.171271i | ||||
\(537\) | −8560.95 | − | 12810.9i | −0.687956 | − | 1.02948i | ||||
\(538\) | −4771.55 | − | 7037.50i | −0.382372 | − | 0.563956i | ||||
\(539\) | 1721.29 | − | 10499.4i | 0.137553 | − | 0.839036i | ||||
\(540\) | 452.407 | + | 33.6845i | 0.0360528 | + | 0.00268435i | ||||
\(541\) | 9287.20 | + | 3700.36i | 0.738056 | + | 0.294068i | 0.708709 | − | 0.705501i | \(-0.249278\pi\) |
0.0293468 | + | 0.999569i | \(0.490657\pi\) | |||||||
\(542\) | 7457.55 | − | 1641.53i | 0.591013 | − | 0.130092i | ||||
\(543\) | 2081.20 | − | 1233.25i | 0.164481 | − | 0.0974658i | ||||
\(544\) | −806.752 | + | 685.261i | −0.0635831 | + | 0.0540080i | ||||
\(545\) | −24989.2 | + | 15035.5i | −1.96407 | + | 1.18174i | ||||
\(546\) | 298.491 | + | 905.959i | 0.0233961 | + | 0.0710100i | ||||
\(547\) | 18705.4 | + | 4117.36i | 1.46213 | + | 0.321838i | 0.873602 | − | 0.486641i | \(-0.161778\pi\) |
0.588525 | + | 0.808479i | \(0.299709\pi\) | |||||||
\(548\) | −312.528 | − | 211.899i | −0.0243623 | − | 0.0165180i | ||||
\(549\) | 7221.89 | − | 20518.5i | 0.561426 | − | 1.59510i | ||||
\(550\) | 2729.23 | − | 5147.87i | 0.211590 | − | 0.399101i | ||||
\(551\) | 7082.30 | − | 15308.1i | 0.547579 | − | 1.18357i | ||||
\(552\) | 19958.8 | + | 6874.54i | 1.53895 | + | 0.530073i | ||||
\(553\) | 107.296 | + | 654.476i | 0.00825079 | + | 0.0503276i | ||||
\(554\) | 5482.75 | − | 5193.54i | 0.420469 | − | 0.398289i | ||||
\(555\) | 8916.27 | + | 17094.4i | 0.681936 | + | 1.30742i | ||||
\(556\) | −277.945 | − | 211.289i | −0.0212006 | − | 0.0161162i | ||||
\(557\) | −2255.45 | − | 2966.99i | −0.171573 | − | 0.225701i | 0.702267 | − | 0.711913i | \(-0.252171\pi\) |
−0.873841 | + | 0.486213i | \(0.838378\pi\) | |||||||
\(558\) | −23860.7 | + | 3583.26i | −1.81022 | + | 0.271848i | ||||
\(559\) | −11454.8 | − | 21606.1i | −0.866704 | − | 1.63478i | ||||
\(560\) | 1092.50 | − | 59.2337i | 0.0824404 | − | 0.00446979i | ||||
\(561\) | −15677.1 | + | 4239.50i | −1.17983 | + | 0.319058i | ||||
\(562\) | 10049.7 | − | 5328.03i | 0.754310 | − | 0.399910i | ||||
\(563\) | −3333.50 | + | 12006.2i | −0.249539 | + | 0.898757i | 0.727573 | + | 0.686030i | \(0.240648\pi\) |
−0.977112 | + | 0.212727i | \(0.931766\pi\) | |||||||
\(564\) | −294.706 | + | 342.268i | −0.0220024 | + | 0.0255533i | ||||
\(565\) | −6543.48 | + | 8607.80i | −0.487232 | + | 0.640943i | ||||
\(566\) | 13289.0 | − | 3689.68i | 0.986889 | − | 0.274008i | ||||
\(567\) | 25.2993 | + | 926.691i | 0.00187384 | + | 0.0686373i | ||||
\(568\) | −5214.36 | + | 854.850i | −0.385193 | + | 0.0631491i | ||||
\(569\) | 213.562 | + | 128.496i | 0.0157346 | + | 0.00946719i | 0.523399 | − | 0.852087i | \(-0.324664\pi\) |
−0.507665 | + | 0.861555i | \(0.669491\pi\) | |||||||
\(570\) | −4615.50 | + | 20317.3i | −0.339161 | + | 1.49298i | ||||
\(571\) | 13458.3 | + | 7135.15i | 0.986363 | + | 0.522937i | 0.881821 | − | 0.471584i | \(-0.156317\pi\) |
0.104542 | + | 0.994520i | \(0.466662\pi\) | |||||||
\(572\) | 259.022 | − | 273.446i | 0.0189340 | − | 0.0199884i | ||||
\(573\) | −112.135 | + | 276.031i | −0.00817544 | + | 0.0201246i | ||||
\(574\) | −160.280 | + | 728.160i | −0.0116550 | + | 0.0529492i | ||||
\(575\) | 11807.7 | − | 1284.17i | 0.856377 | − | 0.0931366i | ||||
\(576\) | −8127.94 | + | 11647.8i | −0.587958 | + | 0.842576i | ||||
\(577\) | −6612.75 | − | 7785.13i | −0.477110 | − | 0.561697i | 0.469975 | − | 0.882679i | \(-0.344263\pi\) |
−0.947085 | + | 0.320983i | \(0.895987\pi\) | |||||||
\(578\) | −13584.6 | + | 4577.18i | −0.977586 | + | 0.329387i | ||||
\(579\) | −9.29799 | + | 4.22611i | −0.000667377 | + | 0.000303335i | ||||
\(580\) | 194.464 | − | 488.068i | 0.0139219 | − | 0.0349412i | ||||
\(581\) | 147.798 | − | 174.002i | 0.0105537 | − | 0.0124248i | ||||
\(582\) | 14614.2 | − | 693.927i | 1.04085 | − | 0.0494230i | ||||
\(583\) | 5299.28 | − | 3593.00i | 0.376456 | − | 0.255244i | ||||
\(584\) | −13577.0 | + | 5409.56i | −0.962019 | + | 0.383303i | ||||
\(585\) | −19296.0 | + | 1836.62i | −1.36375 | + | 0.129803i | ||||
\(586\) | 2100.62 | − | 19314.9i | 0.148081 | − | 1.36159i | ||||
\(587\) | 11074.7 | − | 5123.72i | 0.778711 | − | 0.360270i | 0.0100692 | − | 0.999949i | \(-0.496795\pi\) |
0.768642 | + | 0.639679i | \(0.220933\pi\) | |||||||
\(588\) | 64.2113 | + | 408.857i | 0.00450345 | + | 0.0286751i | ||||
\(589\) | 33288.3i | 2.32873i | ||||||||
\(590\) | −8896.31 | + | 15074.8i | −0.620771 | + | 1.05190i | ||||
\(591\) | 469.607 | + | 2203.86i | 0.0326853 | + | 0.153392i | ||||
\(592\) | −16595.4 | − | 899.776i | −1.15214 | − | 0.0624672i | ||||
\(593\) | 1638.37 | + | 3541.27i | 0.113456 | + | 0.245232i | 0.955983 | − | 0.293423i | \(-0.0947946\pi\) |
−0.842526 | + | 0.538655i | \(0.818932\pi\) | |||||||
\(594\) | −10565.7 | + | 6070.61i | −0.729828 | + | 0.419327i | ||||
\(595\) | −1674.91 | − | 564.344i | −0.115403 | − | 0.0388838i | ||||
\(596\) | 161.475 | + | 405.271i | 0.0110978 | + | 0.0278533i | ||||
\(597\) | −1690.48 | − | 1622.99i | −0.115890 | − | 0.111264i | ||||
\(598\) | −25222.1 | − | 4134.95i | −1.72476 | − | 0.282760i | ||||
\(599\) | −5243.16 | − | 4453.58i | −0.357646 | − | 0.303787i | 0.450492 | − | 0.892780i | \(-0.351249\pi\) |
−0.808138 | + | 0.588993i | \(0.799524\pi\) | |||||||
\(600\) | −1346.95 | + | 7883.93i | −0.0916484 | + | 0.536433i | ||||
\(601\) | 602.590 | + | 2737.60i | 0.0408988 | + | 0.185805i | 0.992641 | − | 0.121093i | \(-0.0386399\pi\) |
−0.951742 | + | 0.306898i | \(0.900709\pi\) | |||||||
\(602\) | −534.237 | − | 1585.56i | −0.0361693 | − | 0.107347i | ||||
\(603\) | −1140.20 | + | 2380.06i | −0.0770028 | + | 0.160736i | ||||
\(604\) | −45.6348 | − | 75.8455i | −0.00307426 | − | 0.00510946i | ||||
\(605\) | 538.968 | + | 4955.73i | 0.0362185 | + | 0.333023i | ||||
\(606\) | −3910.28 | − | 26.2692i | −0.262119 | − | 0.00176091i | ||||
\(607\) | −10796.9 | + | 15924.2i | −0.721963 | + | 1.06482i | 0.272747 | + | 0.962086i | \(0.412068\pi\) |
−0.994709 | + | 0.102730i | \(0.967242\pi\) | |||||||
\(608\) | 795.511 | + | 753.548i | 0.0530629 | + | 0.0502638i | ||||
\(609\) | 1032.51 | + | 294.161i | 0.0687021 | + | 0.0195731i | ||||
\(610\) | 28241.6 | + | 13065.9i | 1.87454 | + | 0.867253i | ||||
\(611\) | 9949.12 | − | 16535.6i | 0.658754 | − | 1.09486i | ||||
\(612\) | 527.592 | − | 347.462i | 0.0348474 | − | 0.0229498i | ||||
\(613\) | −5239.15 | − | 5530.90i | −0.345199 | − | 0.364422i | 0.530158 | − | 0.847899i | \(-0.322133\pi\) |
−0.875357 | + | 0.483476i | \(0.839374\pi\) | |||||||
\(614\) | 5396.06 | + | 19434.8i | 0.354670 | + | 1.27740i | ||||
\(615\) | −13707.6 | − | 6453.96i | −0.898771 | − | 0.423169i | ||||
\(616\) | 723.947 | − | 550.330i | 0.0473517 | − | 0.0359958i | ||||
\(617\) | 3791.28 | + | 1052.64i | 0.247376 | + | 0.0686836i | 0.389003 | − | 0.921236i | \(-0.372820\pi\) |
−0.141627 | + | 0.989920i | \(0.545233\pi\) | |||||||
\(618\) | 8334.78 | − | 6983.78i | 0.542514 | − | 0.454577i | ||||
\(619\) | −637.079 | − | 11750.2i | −0.0413673 | − | 0.762975i | −0.943471 | − | 0.331455i | \(-0.892460\pi\) |
0.902104 | − | 0.431520i | \(-0.142022\pi\) | |||||||
\(620\) | 56.1354 | + | 1035.36i | 0.00363621 | + | 0.0670660i | ||||
\(621\) | −22329.3 | − | 10882.2i | −1.44291 | − | 0.703201i | ||||
\(622\) | −1342.04 | − | 372.615i | −0.0865125 | − | 0.0240201i | ||||
\(623\) | −890.203 | + | 676.715i | −0.0572476 | + | 0.0435185i | ||||
\(624\) | 7117.55 | − | 15117.0i | 0.456619 | − | 0.969815i | ||||
\(625\) | −5219.54 | − | 18799.1i | −0.334051 | − | 1.20314i | ||||
\(626\) | 2511.34 | + | 2651.19i | 0.160341 | + | 0.169270i | ||||
\(627\) | 6117.59 | + | 15659.1i | 0.389654 | + | 0.997392i | ||||
\(628\) | −160.609 | + | 266.933i | −0.0102054 | + | 0.0169615i | ||||
\(629\) | 24366.4 | + | 11273.1i | 1.54460 | + | 0.714607i | ||||
\(630\) | −1323.13 | − | 89.5817i | −0.0836743 | − | 0.00566511i | ||||
\(631\) | 18677.6 | + | 17692.4i | 1.17836 | + | 1.11620i | 0.990994 | + | 0.133910i | \(0.0427532\pi\) |
0.187365 | + | 0.982290i | \(0.440005\pi\) | |||||||
\(632\) | 6715.58 | − | 9904.74i | 0.422676 | − | 0.623401i | ||||
\(633\) | 26.2134 | − | 3901.98i | 0.00164596 | − | 0.245008i | ||||
\(634\) | 113.758 | + | 1045.99i | 0.00712605 | + | 0.0655229i | ||||
\(635\) | −879.054 | − | 1461.00i | −0.0549357 | − | 0.0913039i | ||||
\(636\) | −152.048 | + | 197.251i | −0.00947972 | + | 0.0122980i | ||||
\(637\) | −5646.26 | − | 16757.5i | −0.351198 | − | 1.04232i | ||||
\(638\) | 3033.68 | + | 13782.1i | 0.188251 | + | 0.855235i | ||||
\(639\) | 6212.56 | − | 253.175i | 0.384609 | − | 0.0156736i | ||||
\(640\) | −14593.9 | − | 12396.2i | −0.901368 | − | 0.765629i | ||||
\(641\) | −5100.58 | − | 836.197i | −0.314291 | − | 0.0515255i | 0.00257188 | − | 0.999997i | \(-0.499181\pi\) |
−0.316863 | + | 0.948471i | \(0.602630\pi\) | |||||||
\(642\) | −6144.43 | + | 6399.92i | −0.377728 | + | 0.393434i | ||||
\(643\) | 6542.88 | + | 16421.4i | 0.401285 | + | 1.00715i | 0.981290 | + | 0.192536i | \(0.0616713\pi\) |
−0.580005 | + | 0.814613i | \(0.696949\pi\) | |||||||
\(644\) | 49.7808 | + | 16.7731i | 0.00304602 | + | 0.00102633i | ||||
\(645\) | 33824.2 | − | 3448.85i | 2.06484 | − | 0.210540i | ||||
\(646\) | 12182.3 | + | 26331.6i | 0.741960 | + | 1.60372i | ||||
\(647\) | −20218.4 | − | 1096.21i | −1.22854 | − | 0.0666097i | −0.571589 | − | 0.820540i | \(-0.693673\pi\) |
−0.656954 | + | 0.753930i | \(0.728156\pi\) | |||||||
\(648\) | 11167.5 | − | 12453.2i | 0.677008 | − | 0.754950i | ||||
\(649\) | 884.707 | + | 14096.3i | 0.0535097 | + | 0.852587i | ||||
\(650\) | − | 9683.93i | − | 0.584361i | ||||||
\(651\) | −2093.17 | + | 328.733i | −0.126018 | + | 0.0197912i | ||||
\(652\) | 69.8266 | − | 32.3052i | 0.00419420 | − | 0.00194044i | ||||
\(653\) | 1028.80 | − | 9459.67i | 0.0616541 | − | 0.566900i | −0.922046 | − | 0.387081i | \(-0.873483\pi\) |
0.983700 | − | 0.179819i | \(-0.0575511\pi\) | |||||||
\(654\) | −3498.02 | + | 30270.4i | −0.209149 | + | 1.80989i | ||||
\(655\) | −15286.6 | + | 6090.73i | −0.911902 | + | 0.363335i | ||||
\(656\) | 10810.0 | − | 7329.37i | 0.643384 | − | 0.436225i | ||||
\(657\) | 16631.1 | − | 4377.81i | 0.987583 | − | 0.259961i | ||||
\(658\) | 854.759 | − | 1006.30i | 0.0506413 | − | 0.0596195i | ||||
\(659\) | −8094.51 | + | 20315.7i | −0.478479 | + | 1.20089i | 0.469607 | + | 0.882876i | \(0.344396\pi\) |
−0.948086 | + | 0.318015i | \(0.896984\pi\) | |||||||
\(660\) | 216.680 | + | 476.725i | 0.0127792 | + | 0.0281159i | ||||
\(661\) | 26189.7 | − | 8824.35i | 1.54109 | − | 0.519255i | 0.584678 | − | 0.811265i | \(-0.301221\pi\) |
0.956415 | + | 0.292011i | \(0.0943243\pi\) | |||||||
\(662\) | 6435.10 | + | 7575.99i | 0.377806 | + | 0.444787i | ||||
\(663\) | −19720.0 | + | 18430.0i | −1.15515 | + | 1.07958i | ||||
\(664\) | −4095.21 | + | 445.381i | −0.239345 | + | 0.0260303i | ||||
\(665\) | −393.316 | + | 1786.85i | −0.0229355 | + | 0.104197i | ||||
\(666\) | 19833.8 | + | 3525.85i | 1.15397 | + | 0.205141i | ||||
\(667\) | −19783.1 | + | 20884.8i | −1.14843 | + | 1.21239i | ||||
\(668\) | 326.657 | + | 173.183i | 0.0189203 | + | 0.0100309i | ||||
\(669\) | 11403.8 | + | 2590.60i | 0.659035 | + | 0.149713i | ||||
\(670\) | −3234.90 | − | 1946.38i | −0.186530 | − | 0.112231i | ||||
\(671\) | 24777.9 | − | 4062.13i | 1.42555 | − | 0.233706i | ||||
\(672\) | −39.5271 | + | 57.4632i | −0.00226903 | + | 0.00329865i | ||||
\(673\) | 15136.0 | − | 4202.49i | 0.866939 | − | 0.240704i | 0.194541 | − | 0.980894i | \(-0.437678\pi\) |
0.672398 | + | 0.740190i | \(0.265264\pi\) | |||||||
\(674\) | −20328.0 | + | 26741.1i | −1.16173 | + | 1.52823i | ||||
\(675\) | 2700.10 | − | 9015.92i | 0.153966 | − | 0.514108i | ||||
\(676\) | 30.3409 | − | 109.278i | 0.00172627 | − | 0.00621747i | ||||
\(677\) | −13206.1 | + | 7001.43i | −0.749707 | + | 0.397470i | −0.799013 | − | 0.601314i | \(-0.794644\pi\) |
0.0493055 | + | 0.998784i | \(0.484299\pi\) | |||||||
\(678\) | 2949.21 | + | 10905.8i | 0.167056 | + | 0.617750i | ||||
\(679\) | 1282.91 | − | 69.5572i | 0.0725088 | − | 0.00393131i | ||||
\(680\) | 14937.9 | + | 28176.0i | 0.842418 | + | 1.58897i | ||||
\(681\) | 1335.18 | − | 21903.1i | 0.0751310 | − | 1.23249i | ||||
\(682\) | −16854.8 | − | 22172.1i | −0.946338 | − | 1.24489i | ||||
\(683\) | −19385.1 | − | 14736.2i | −1.08602 | − | 0.825569i | −0.100466 | − | 0.994941i | \(-0.532033\pi\) |
−0.985552 | + | 0.169371i | \(0.945826\pi\) | |||||||
\(684\) | −416.630 | − | 504.066i | −0.0232898 | − | 0.0281776i | ||||
\(685\) | −16284.0 | + | 15425.0i | −0.908293 | + | 0.860381i | ||||
\(686\) | −392.389 | − | 2393.47i | −0.0218389 | − | 0.133211i | ||||
\(687\) | 7106.14 | − | 20631.2i | 0.394638 | − | 1.14575i | ||||
\(688\) | −12306.3 | + | 26599.5i | −0.681935 | + | 1.47398i | ||||
\(689\) | 4984.38 | − | 9401.54i | 0.275602 | − | 0.519841i | ||||
\(690\) | 18524.0 | − | 30324.2i | 1.02203 | − | 1.67307i | ||||
\(691\) | 12153.3 | + | 8240.15i | 0.669079 | + | 0.453647i | 0.847845 | − | 0.530245i | \(-0.177900\pi\) |
−0.178765 | + | 0.983892i | \(0.557210\pi\) | |||||||
\(692\) | −813.266 | − | 179.013i | −0.0446759 | − | 0.00983392i | ||||
\(693\) | −924.231 | + | 539.313i | −0.0506618 | + | 0.0295625i | ||||
\(694\) | −19632.2 | + | 11812.3i | −1.07382 | + | 0.646094i | ||||
\(695\) | −15807.0 | + | 13426.6i | −0.862724 | + | 0.732804i | ||||
\(696\) | −9875.38 | − | 16665.4i | −0.537824 | − | 0.907617i | ||||
\(697\) | −20604.8 | + | 4535.46i | −1.11975 | + | 0.246475i | ||||
\(698\) | −1777.53 | − | 708.232i | −0.0963904 | − | 0.0384054i | ||||
\(699\) | 6251.60 | − | 11602.7i | 0.338279 | − | 0.627834i | ||||
\(700\) | −3.21999 | + | 19.6411i | −0.000173863 | + | 0.00106052i | ||||
\(701\) | −14037.1 | − | 20703.2i | −0.756311 | − | 1.11547i | −0.989709 | − | 0.143093i | \(-0.954295\pi\) |
0.233399 | − | 0.972381i | \(-0.425015\pi\) | |||||||
\(702\) | −10788.9 | + | 17139.7i | −0.580059 | + | 0.921503i | ||||
\(703\) | 8874.19 | − | 26337.7i | 0.476097 | − | 1.41301i | ||||
\(704\) | −16298.7 | − | 1772.59i | −0.872558 | − | 0.0948964i | ||||
\(705\) | 16092.9 | + | 21467.7i | 0.859709 | + | 1.14684i | ||||
\(706\) | −490.289 | + | 9042.84i | −0.0261363 | + | 0.482056i | ||||
\(707\) | −343.390 | −0.0182666 | ||||||||
\(708\) | −204.275 | − | 510.026i | −0.0108434 | − | 0.0270734i | ||||
\(709\) | −30846.0 | −1.63391 | −0.816957 | − | 0.576699i | \(-0.804341\pi\) | ||||
−0.816957 | + | 0.576699i | \(0.804341\pi\) | |||||||
\(710\) | −481.548 | + | 8881.63i | −0.0254538 | + | 0.469467i | ||||
\(711\) | −9259.50 | + | 10608.9i | −0.488409 | + | 0.559585i | ||||
\(712\) | 20058.3 | + | 2181.48i | 1.05578 | + | 0.114823i | ||||
\(713\) | 18128.0 | − | 53801.9i | 0.952170 | − | 2.82594i | ||||
\(714\) | −1535.43 | + | 1026.06i | −0.0804788 | + | 0.0537804i | ||||
\(715\) | −12556.0 | − | 18518.7i | −0.656739 | − | 0.968617i | ||||
\(716\) | −111.927 | + | 682.727i | −0.00584207 | + | 0.0356350i | ||||
\(717\) | 8302.03 | + | 4473.16i | 0.432420 | + | 0.232989i | ||||
\(718\) | 68.6836 | + | 27.3661i | 0.00356999 | + | 0.00142241i | ||||
\(719\) | −12261.7 | + | 2699.01i | −0.636001 | + | 0.139994i | −0.521256 | − | 0.853401i | \(-0.674536\pi\) |
−0.114745 | + | 0.993395i | \(0.536605\pi\) | |||||||
\(720\) | 15747.4 | + | 17078.2i | 0.815099 | + | 0.883980i | ||||
\(721\) | 727.783 | − | 618.185i | 0.0375923 | − | 0.0319312i | ||||
\(722\) | 9355.92 | − | 5629.27i | 0.482259 | − | 0.290166i | ||||
\(723\) | −16367.3 | + | 5392.63i | −0.841918 | + | 0.277391i | ||||
\(724\) | −106.083 | − | 23.3507i | −0.00544552 | − | 0.00119865i | ||||
\(725\) | −9021.41 | − | 6116.66i | −0.462133 | − | 0.313334i | ||||
\(726\) | 4444.83 | + | 2715.20i | 0.227222 | + | 0.138803i | ||||
\(727\) | −11118.6 | + | 20971.9i | −0.567216 | + | 1.06988i | 0.419550 | + | 0.907732i | \(0.362188\pi\) |
−0.986766 | + | 0.162151i | \(0.948157\pi\) | |||||||
\(728\) | 634.621 | − | 1371.71i | 0.0323085 | − | 0.0698338i | ||||
\(729\) | −14823.6 | + | 12949.2i | −0.753118 | + | 0.657886i | ||||
\(730\) | 3980.14 | + | 24277.8i | 0.201797 | + | 1.23091i | ||||
\(731\) | 34372.3 | − | 32559.2i | 1.73913 | − | 1.64739i | ||||
\(732\) | −865.985 | + | 451.690i | −0.0437264 | + | 0.0228073i | ||||
\(733\) | 4370.78 | + | 3322.58i | 0.220243 | + | 0.167425i | 0.709478 | − | 0.704728i | \(-0.248931\pi\) |
−0.489235 | + | 0.872152i | \(0.662724\pi\) | |||||||
\(734\) | −4012.02 | − | 5277.72i | −0.201752 | − | 0.265401i | ||||
\(735\) | 24539.4 | + | 1495.89i | 1.23149 | + | 0.0750701i | ||||
\(736\) | −875.373 | − | 1651.13i | −0.0438406 | − | 0.0826921i | ||||
\(737\) | −3041.82 | + | 164.923i | −0.152031 | + | 0.00824288i | ||||
\(738\) | −14084.8 | + | 7226.57i | −0.702534 | + | 0.360452i | ||||
\(739\) | −3489.40 | + | 1849.97i | −0.173694 | + | 0.0920867i | −0.552987 | − | 0.833190i | \(-0.686512\pi\) |
0.379293 | + | 0.925277i | \(0.376167\pi\) | |||||||
\(740\) | 231.597 | − | 834.138i | 0.0115050 | − | 0.0414372i | ||||
\(741\) | 21173.9 | + | 18231.5i | 1.04972 | + | 0.903849i | ||||
\(742\) | 440.592 | − | 579.589i | 0.0217987 | − | 0.0286757i | ||||
\(743\) | −34087.0 | + | 9464.20i | −1.68308 | + | 0.467305i | −0.971840 | − | 0.235642i | \(-0.924281\pi\) |
−0.711242 | + | 0.702947i | \(0.751867\pi\) | |||||||
\(744\) | 31498.7 | + | 21666.9i | 1.55215 | + | 1.06767i | ||||
\(745\) | 25573.4 | − | 4192.54i | 1.25763 | − | 0.206178i | ||||
\(746\) | 23826.4 | + | 14335.8i | 1.16936 | + | 0.703582i | ||||
\(747\) | 4846.87 | + | 65.1253i | 0.237400 | + | 0.00318984i | ||||
\(748\) | 644.260 | + | 341.565i | 0.0314926 | + | 0.0166963i | ||||
\(749\) | −535.786 | + | 565.622i | −0.0261378 | + | 0.0275933i | ||||
\(750\) | −10769.1 | − | 4374.85i | −0.524308 | − | 0.212996i | ||||
\(751\) | −1042.65 | + | 4736.79i | −0.0506614 | + | 0.230157i | −0.995147 | − | 0.0983944i | \(-0.968629\pi\) |
0.944486 | + | 0.328551i | \(0.106560\pi\) | |||||||
\(752\) | −22992.4 | + | 2500.58i | −1.11496 | + | 0.121259i | ||||
\(753\) | 6636.06 | + | 7100.55i | 0.321157 | + | 0.343636i | ||||
\(754\) | 15184.2 | + | 17876.2i | 0.733388 | + | 0.863411i | ||||
\(755\) | −4982.84 | + | 1678.91i | −0.240191 | + | 0.0809298i | ||||
\(756\) | 27.5813 | − | 31.1755i | 0.00132688 | − | 0.00149979i | ||||
\(757\) | 11055.6 | − | 27747.4i | 0.530809 | − | 1.33223i | −0.382120 | − | 0.924113i | \(-0.624806\pi\) |
0.912929 | − | 0.408118i | \(-0.133815\pi\) | |||||||
\(758\) | 3577.67 | − | 4211.96i | 0.171434 | − | 0.201828i | ||||
\(759\) | −1359.93 | − | 28640.4i | −0.0650362 | − | 1.36967i | ||||
\(760\) | 27324.5 | − | 18526.5i | 1.30416 | − | 0.884246i | ||||
\(761\) | −15205.3 | + | 6058.36i | −0.724301 | + | 0.288588i | −0.703004 | − | 0.711185i | \(-0.748159\pi\) |
−0.0212962 | + | 0.999773i | \(0.506779\pi\) | |||||||
\(762\) | −1769.77 | − | 204.512i | −0.0841363 | − | 0.00972270i | ||||
\(763\) | −289.315 | + | 2660.20i | −0.0137273 | + | 0.126220i | ||||
\(764\) | 12.1414 | − | 5.61719i | 0.000574946 | − | 0.000265998i | ||||
\(765\) | −13420.3 | − | 35044.7i | −0.634266 | − | 1.65626i | ||||
\(766\) | − | 32241.6i | − | 1.52081i | ||||||
\(767\) | 12273.2 | + | 20010.5i | 0.577782 | + | 0.942031i | ||||
\(768\) | 1819.69 | − | 387.745i | 0.0854978 | − | 0.0182182i | ||||
\(769\) | 17165.2 | + | 930.668i | 0.804931 | + | 0.0436421i | 0.452012 | − | 0.892012i | \(-0.350706\pi\) |
0.352919 | + | 0.935654i | \(0.385189\pi\) | |||||||
\(770\) | −642.759 | − | 1389.30i | −0.0300824 | − | 0.0650220i | ||||
\(771\) | −2981.62 | − | 29241.9i | −0.139274 | − | 1.36591i | ||||
\(772\) | 0.434585 | + | 0.146429i | 2.02604e−5 | + | 6.82654e-6i | ||||
\(773\) | 4004.31 | + | 10050.1i | 0.186320 | + | 0.467627i | 0.992231 | − | 0.124409i | \(-0.0397036\pi\) |
−0.805911 | + | 0.592036i | \(0.798324\pi\) | |||||||
\(774\) | 18722.1 | − | 30190.6i | 0.869447 | − | 1.40204i | ||||
\(775\) | 21227.6 | + | 3480.08i | 0.983892 | + | 0.161301i | ||||
\(776\) | −17668.6 | − | 15007.9i | −0.817355 | − | 0.694268i | ||||
\(777\) | 1743.75 | + | 297.915i | 0.0805104 | + | 0.0137550i | ||||
\(778\) | −4355.80 | − | 19788.6i | −0.200723 | − | 0.911896i | ||||
\(779\) | 6973.70 | + | 20697.2i | 0.320743 | + | 0.951931i | ||||
\(780\) | 689.310 | + | 531.344i | 0.0316426 | + | 0.0243912i | ||||
\(781\) | 3700.18 | + | 6149.74i | 0.169530 | + | 0.281761i | ||||
\(782\) | −5349.99 | − | 49192.4i | −0.244649 | − | 2.24951i | ||||
\(783\) | 9152.46 | + | 20876.7i | 0.417730 | + | 0.952840i | ||||
\(784\) | −11893.1 | + | 17541.0i | −0.541777 | + | 0.799061i | ||||
\(785\) | 13434.9 | + | 12726.2i | 0.610844 | + | 0.578622i | ||||
\(786\) | −4710.89 | + | 16535.4i | −0.213781 | + | 0.750377i | ||||
\(787\) | −6071.16 | − | 2808.82i | −0.274986 | − | 0.127222i | 0.277550 | − | 0.960711i | \(-0.410478\pi\) |
−0.552536 | + | 0.833489i | \(0.686340\pi\) | |||||||
\(788\) | 52.1624 | − | 86.6946i | 0.00235813 | − | 0.00391925i | ||||
\(789\) | −23904.5 | + | 9338.84i | −1.07861 | + | 0.421383i | ||||
\(790\) | −13853.0 | − | 14624.5i | −0.623885 | − | 0.658627i | ||||
\(791\) | 265.413 | + | 955.932i | 0.0119305 | + | 0.0429697i | ||||
\(792\) | 18799.1 | + | 4403.62i | 0.843432 | + | 0.197571i | ||||
\(793\) | 33221.9 | − | 25254.6i | 1.48770 | − | 1.13092i | ||||
\(794\) | −6620.73 | − | 1838.24i | −0.295920 | − | 0.0821619i | ||||
\(795\) | 9501.69 | + | 11339.8i | 0.423887 | + | 0.505887i | ||||
\(796\) | 5.69671 | + | 105.070i | 0.000253661 | + | 0.00467851i | ||||
\(797\) | 2273.01 | + | 41923.2i | 0.101022 | + | 1.86323i | 0.409898 | + | 0.912131i | \(0.365564\pi\) |
−0.308876 | + | 0.951102i | \(0.599953\pi\) | |||||||
\(798\) | 1227.79 | + | 1465.30i | 0.0544651 | + | 0.0650012i | ||||
\(799\) | 35999.4 | + | 9995.20i | 1.59395 | + | 0.442559i | ||||
\(800\) | 563.694 | − | 428.509i | 0.0249120 | − | 0.0189376i | ||||
\(801\) | −23116.4 | − | 5414.92i | −1.01970 | − | 0.238860i | ||||
\(802\) | 615.118 | + | 2215.46i | 0.0270830 | + | 0.0975442i | ||||
\(803\) | 13651.7 | + | 14411.9i | 0.599946 | + | 0.633355i | ||||
\(804\) | 110.374 | − | 43.1201i | 0.00484153 | − | 0.00189145i | ||||
\(805\) | 1608.77 | − | 2673.79i | 0.0704367 | − | 0.117067i | ||||
\(806\) | −42010.9 | − | 19436.3i | −1.83594 | − | 0.849398i | ||||
\(807\) | 4343.69 | − | 15246.5i | 0.189473 | − | 0.665057i | ||||
\(808\) | 4498.26 | + | 4260.98i | 0.195852 | + | 0.185521i | ||||
\(809\) | 12041.2 | − | 17759.4i | 0.523294 | − | 0.771800i | −0.470576 | − | 0.882360i | \(-0.655954\pi\) |
0.993870 | + | 0.110559i | \(0.0352642\pi\) | |||||||
\(810\) | −16431.6 | − | 22865.5i | −0.712776 | − | 0.991868i | ||||
\(811\) | −2286.48 | − | 21023.8i | −0.0990000 | − | 0.910290i | −0.933329 | − | 0.359023i | \(-0.883110\pi\) |
0.834329 | − | 0.551267i | \(-0.185856\pi\) | |||||||
\(812\) | −24.8527 | − | 41.3055i | −0.00107409 | − | 0.00178515i | ||||
\(813\) | 11276.2 | + | 8692.13i | 0.486440 | + | 0.374965i | ||||
\(814\) | 7424.71 | + | 22035.8i | 0.319700 | + | 0.948837i | ||||
\(815\) | −982.478 | − | 4463.44i | −0.0422266 | − | 0.191838i | ||||
\(816\) | 31886.6 | + | 5447.76i | 1.36796 | + | 0.233713i | ||||
\(817\) | −37354.4 | − | 31729.1i | −1.59959 | − | 1.35870i | ||||
\(818\) | −33070.7 | − | 5421.67i | −1.41356 | − | 0.231741i | ||||
\(819\) | −937.298 | + | 1511.45i | −0.0399900 | + | 0.0644865i | ||||
\(820\) | 251.804 | + | 631.979i | 0.0107236 | + | 0.0269142i | ||||
\(821\) | 502.058 | + | 169.163i | 0.0213422 | + | 0.00719102i | 0.329952 | − | 0.943998i | \(-0.392967\pi\) |
−0.308610 | + | 0.951189i | \(0.599864\pi\) | |||||||
\(822\) | 2377.30 | + | 23315.1i | 0.100873 | + | 0.989302i | ||||
\(823\) | −15146.9 | − | 32739.5i | −0.641541 | − | 1.38667i | −0.906417 | − | 0.422385i | \(-0.861193\pi\) |
0.264876 | − | 0.964282i | \(-0.414669\pi\) | |||||||
\(824\) | −17204.4 | − | 932.798i | −0.727361 | − | 0.0394363i | ||||
\(825\) | 10625.2 | − | 2264.05i | 0.448390 | − | 0.0955445i | ||||
\(826\) | 607.150 | + | 1486.89i | 0.0255756 | + | 0.0626338i | ||||
\(827\) | 13700.5i | 0.576073i | 0.957619 | + | 0.288037i | \(0.0930025\pi\) | ||||
−0.957619 | + | 0.288037i | \(0.906997\pi\) | |||||||
\(828\) | 398.872 | + | 1041.58i | 0.0167412 | + | 0.0437166i | ||||
\(829\) | −21867.0 | + | 10116.7i | −0.916129 | + | 0.423846i | −0.820549 | − | 0.571576i | \(-0.806332\pi\) |
−0.0955792 | + | 0.995422i | \(0.530470\pi\) | |||||||
\(830\) | −749.725 | + | 6893.61i | −0.0313534 | + | 0.288290i | ||||
\(831\) | 13987.8 | + | 1616.41i | 0.583911 | + | 0.0674761i | ||||
\(832\) | −25313.3 | + | 10085.7i | −1.05478 | + | 0.420264i | ||||
\(833\) | 28335.9 | − | 19212.2i | 1.17861 | − | 0.799117i | ||||
\(834\) | 1027.80 | + | 21645.5i | 0.0426735 | + | 0.898707i | ||||
\(835\) | 14218.3 | − | 16739.1i | 0.589277 | − | 0.693750i | ||||
\(836\) | 279.404 | − | 701.250i | 0.0115591 | − | 0.0290111i | ||||
\(837\) | −33693.7 | − | 29809.2i | −1.39143 | − | 1.23101i | ||||
\(838\) | −21088.1 | + | 7105.39i | −0.869302 | + | 0.292902i | ||||
\(839\) | 22831.7 | + | 26879.6i | 0.939498 | + | 1.10606i | 0.994199 | + | 0.107559i | \(0.0343036\pi\) |
−0.0547010 | + | 0.998503i | \(0.517421\pi\) | |||||||
\(840\) | 1434.78 | + | 1535.21i | 0.0589342 | + | 0.0630593i | ||||
\(841\) | 1997.93 | − | 217.288i | 0.0819194 | − | 0.00890927i | ||||
\(842\) | 9730.56 | − | 44206.4i | 0.398263 | − | 1.80933i | ||||
\(843\) | 19648.8 | + | 7982.18i | 0.802778 | + | 0.326122i | ||||
\(844\) | −120.490 | + | 127.200i | −0.00491402 | + | 0.00518767i | ||||
\(845\) | −5952.20 | − | 3155.66i | −0.242322 | − | 0.128471i | ||||
\(846\) | 28030.8 | + | 376.638i | 1.13915 | + | 0.0153062i | ||||
\(847\) | 391.917 | + | 235.809i | 0.0158990 | + | 0.00956609i | ||||
\(848\) | −12585.0 | + | 2063.21i | −0.509637 | + | 0.0835507i | ||||
\(849\) | 21186.4 | + | 14573.5i | 0.856438 | + | 0.589116i | ||||
\(850\) | 18064.9 | − | 5015.71i | 0.728967 | − | 0.202397i | ||||
\(851\) | −28685.6 | + | 37735.3i | −1.15550 | + | 1.52003i | ||||
\(852\) | −211.563 | − | 182.164i | −0.00850709 | − | 0.00732493i | ||||
\(853\) | 3052.74 | − | 10995.0i | 0.122537 | − | 0.441337i | −0.876673 | − | 0.481086i | \(-0.840242\pi\) |
0.999210 | + | 0.0397498i | \(0.0126561\pi\) | |||||||
\(854\) | 2522.57 | − | 1337.38i | 0.101078 | − | 0.0535881i | ||||
\(855\) | −34563.1 | + | 17733.5i | −1.38250 | + | 0.709324i | ||||
\(856\) | 14037.1 | − | 761.071i | 0.560490 | − | 0.0303889i | ||||
\(857\) | 8135.82 | + | 15345.8i | 0.324287 | + | 0.611671i | 0.991033 | − | 0.133614i | \(-0.0426582\pi\) |
−0.666746 | + | 0.745285i | \(0.732313\pi\) | |||||||
\(858\) | −23334.2 | − | 1422.42i | −0.928459 | − | 0.0565975i | ||||
\(859\) | −9391.26 | − | 12354.0i | −0.373022 | − | 0.490702i | 0.570831 | − | 0.821067i | \(-0.306621\pi\) |
−0.943853 | + | 0.330366i | \(0.892828\pi\) | |||||||
\(860\) | −1215.33 | − | 923.869i | −0.0481888 | − | 0.0366322i | ||||
\(861\) | −1232.57 | + | 642.898i | −0.0487873 | + | 0.0254470i | ||||
\(862\) | −28593.0 | + | 27084.7i | −1.12979 | + | 1.07020i | ||||
\(863\) | −3447.64 | − | 21029.7i | −0.135990 | − | 0.829499i | −0.963433 | − | 0.267950i | \(-0.913654\pi\) |
0.827443 | − | 0.561549i | \(-0.189795\pi\) | |||||||
\(864\) | −1475.09 | + | 130.408i | −0.0580829 | + | 0.00513490i | ||||
\(865\) | −20770.5 | + | 44894.8i | −0.816438 | + | 1.76470i | ||||
\(866\) | −8471.05 | + | 15978.1i | −0.332399 | + | 0.626972i | ||||
\(867\) | −22808.7 | − | 13933.1i | −0.893454 | − | 0.545782i | ||||
\(868\) | 78.7443 | + | 53.3899i | 0.00307921 | + | 0.00208776i | ||||
\(869\) | −15874.2 | − | 3494.16i | −0.619671 | − | 0.136400i | ||||
\(870\) | −30971.2 | + | 10204.2i | −1.20692 | + | 0.397651i | ||||
\(871\) | −4338.26 | + | 2610.25i | −0.168767 | + | 0.101544i | ||||
\(872\) | 36799.2 | − | 31257.6i | 1.42910 | − | 1.21389i | ||||
\(873\) | 18491.9 | + | 20054.6i | 0.716904 | + | 0.777487i | ||||
\(874\) | −50026.1 | + | 11011.6i | −1.93611 | + | 0.426169i | ||||
\(875\) | −948.247 | − | 377.816i | −0.0366361 | − | 0.0145972i | ||||
\(876\) | −679.797 | − | 366.277i | −0.0262194 | − | 0.0141271i | ||||
\(877\) | −4213.47 | + | 25701.0i | −0.162234 | + | 0.989581i | 0.772704 | + | 0.634767i | \(0.218904\pi\) |
−0.934937 | + | 0.354814i | \(0.884544\pi\) | |||||||
\(878\) | −23094.2 | − | 34061.3i | −0.887688 | − | 1.30924i | ||||
\(879\) | 30119.0 | − | 20127.2i | 1.15573 | − | 0.772323i | ||||
\(880\) | −8561.94 | + | 25410.9i | −0.327981 | + | 0.973412i | ||||
\(881\) | 16087.6 | + | 1749.63i | 0.615215 | + | 0.0669087i | 0.410421 | − | 0.911896i | \(-0.365382\pi\) |
0.204795 | + | 0.978805i | \(0.434347\pi\) | |||||||
\(882\) | 16891.3 | − | 19352.9i | 0.644854 | − | 0.738828i | ||||
\(883\) | −1727.78 | + | 31867.0i | −0.0658486 | + | 1.21451i | 0.759738 | + | 0.650230i | \(0.225327\pi\) |
−0.825586 | + | 0.564276i | \(0.809155\pi\) | |||||||
\(884\) | 1211.95 | 0.0461113 | ||||||||
\(885\) | −32197.1 | + | 5337.85i | −1.22293 | + | 0.202746i | ||||
\(886\) | 23918.1 | 0.906935 | ||||||||
\(887\) | 1794.67 | − | 33100.7i | 0.0679358 | − | 1.25300i | −0.743570 | − | 0.668658i | \(-0.766869\pi\) |
0.811506 | − | 0.584344i | \(-0.198648\pi\) | |||||||
\(888\) | −19145.6 | − | 25540.0i | −0.723519 | − | 0.965163i | ||||
\(889\) | −155.529 | − | 16.9148i | −0.00586759 | − | 0.000638139i | ||||
\(890\) | 10844.8 | − | 32186.1i | 0.408446 | − | 1.21222i | ||||
\(891\) | −21328.0 | − | 7830.41i | −0.801925 | − | 0.294420i | ||||
\(892\) | −294.672 | − | 434.609i | −0.0110609 | − | 0.0163137i | ||||
\(893\) | 6257.07 | − | 38166.5i | 0.234474 | − | 1.43023i | ||||
\(894\) | 12843.6 | − | 23837.2i | 0.480484 | − | 0.891761i | ||||
\(895\) | 38178.3 | + | 15211.6i | 1.42588 | + | 0.568122i | ||||
\(896\) | −1715.83 | + | 377.683i | −0.0639754 | + | 0.0140820i | ||||
\(897\) | −24293.6 | − | 40997.3i | −0.904281 | − | 1.52604i | ||||
\(898\) | −13745.3 | + | 11675.3i | −0.510786 | + | 0.433865i | ||||
\(899\) | −44642.0 | + | 26860.2i | −1.65617 | + | 0.996482i | ||||
\(900\) | −364.993 | + | 212.983i | −0.0135183 | + | 0.00788826i | ||||
\(901\) | 20119.8 | + | 4428.70i | 0.743937 | + | 0.163753i | ||||
\(902\) | −15124.5 | − | 10254.6i | −0.558304 | − | 0.378539i | ||||
\(903\) | 1626.24 | − | 2662.18i | 0.0599311 | − | 0.0981082i | ||||
\(904\) | 8384.95 | − | 15815.7i | 0.308495 | − | 0.581883i | ||||
\(905\) | −2709.33 | + | 5856.12i | −0.0995151 | + | 0.215098i | ||||
\(906\) | −1789.15 | + | 5194.43i | −0.0656078 | + | 0.190478i | ||||
\(907\) | 2061.95 | + | 12577.3i | 0.0754861 | + | 0.460445i | 0.997339 | + | 0.0729048i | \(0.0232269\pi\) |
−0.921853 | + | 0.387540i | \(0.873325\pi\) | |||||||
\(908\) | −715.321 | + | 677.588i | −0.0261440 | + | 0.0247649i | ||||
\(909\) | −4644.95 | − | 5619.77i | −0.169487 | − | 0.205056i | ||||
\(910\) | −2025.42 | − | 1539.68i | −0.0737823 | − | 0.0560878i | ||||
\(911\) | −27684.9 | − | 36418.9i | −1.00685 | − | 1.32449i | −0.945234 | − | 0.326393i | \(-0.894167\pi\) |
−0.0616188 | − | 0.998100i | \(-0.519626\pi\) | |||||||
\(912\) | 2037.53 | − | 33424.9i | 0.0739797 | − | 1.21361i | ||||
\(913\) | 2620.85 | + | 4943.45i | 0.0950028 | + | 0.179194i | ||||
\(914\) | 10267.4 | − | 556.683i | 0.371571 | − | 0.0201460i | ||||
\(915\) | 15145.8 | + | 56007.2i | 0.547219 | + | 2.02354i | ||||
\(916\) | −865.641 | + | 458.934i | −0.0312245 | + | 0.0165542i | ||||
\(917\) | −403.924 | + | 1454.80i | −0.0145461 | + | 0.0523902i | ||||
\(918\) | −37561.3 | − | 11248.9i | −1.35045 | − | 0.404433i | ||||
\(919\) | 8295.82 | − | 10913.0i | 0.297773 | − | 0.391714i | −0.622738 | − | 0.782431i | \(-0.713980\pi\) |
0.920511 | + | 0.390716i | \(0.127773\pi\) | |||||||
\(920\) | −54252.1 | + | 15063.0i | −1.94417 | + | 0.539796i | ||||
\(921\) | −21313.3 | + | 30984.6i | −0.762537 | + | 1.10855i | ||||
\(922\) | 16173.9 | − | 2651.58i | 0.577722 | − | 0.0947126i | ||||
\(923\) | 10221.0 | + | 6149.78i | 0.364495 | + | 0.219309i | ||||
\(924\) | 46.8538 | + | 10.6438i | 0.00166816 | + | 0.000378956i | ||||
\(925\) | −15867.5 | − | 8412.40i | −0.564021 | − | 0.299025i | ||||
\(926\) | −12934.0 | + | 13654.3i | −0.459006 | + | 0.484566i | ||||
\(927\) | 19961.5 | + | 3548.55i | 0.707251 | + | 0.125728i | ||||
\(928\) | −368.667 | + | 1674.87i | −0.0130410 | + | 0.0592460i | ||||
\(929\) | 6706.64 | − | 729.391i | 0.236854 | − | 0.0257595i | 0.0110781 | − | 0.999939i | \(-0.496474\pi\) |
0.225776 | + | 0.974179i | \(0.427508\pi\) | |||||||
\(930\) | 47018.3 | − | 43942.6i | 1.65784 | − | 1.54939i | ||||
\(931\) | −22943.2 | − | 27010.8i | −0.807661 | − | 0.950852i | ||||
\(932\) | −560.808 | + | 188.958i | −0.0197102 | + | 0.00664113i | ||||
\(933\) | −1074.55 | − | 2364.15i | −0.0377054 | − | 0.0829568i | ||||
\(934\) | 112.306 | − | 281.868i | 0.00393445 | − | 0.00987474i | ||||
\(935\) | 28042.6 | − | 33014.3i | 0.980846 | − | 1.15474i | ||||
\(936\) | 31033.2 | − | 8168.87i | 1.08371 | − | 0.285265i | ||||
\(937\) | −39424.6 | + | 26730.5i | −1.37454 | + | 0.931963i | −0.374553 | + | 0.927205i | \(0.622204\pi\) |
−0.999989 | + | 0.00475722i | \(0.998486\pi\) | |||||||
\(938\) | −321.797 | + | 128.216i | −0.0112015 | + | 0.00446310i | ||||
\(939\) | −781.616 | + | 6763.79i | −0.0271641 | + | 0.235067i | ||||
\(940\) | 130.250 | − | 1197.63i | 0.00451947 | − | 0.0415558i | ||||
\(941\) | −11353.7 | + | 5252.80i | −0.393328 | + | 0.181973i | −0.606576 | − | 0.795025i | \(-0.707458\pi\) |
0.213249 | + | 0.976998i | \(0.431595\pi\) | |||||||
\(942\) | 19101.4 | − | 2999.88i | 0.660675 | − | 0.103760i | ||||
\(943\) | − | 37249.3i | − | 1.28633i | ||||||
\(944\) | 10190.4 | − | 26223.0i | 0.351344 | − | 0.904118i | ||||
\(945\) | −1456.40 | − | 1998.20i | −0.0501341 | − | 0.0687847i | ||||
\(946\) | 40945.6 | + | 2220.01i | 1.40725 | + | 0.0762988i | ||||
\(947\) | 7123.69 | + | 15397.6i | 0.244444 | + | 0.528358i | 0.990498 | − | 0.137528i | \(-0.0439158\pi\) |
−0.746054 | + | 0.665886i | \(0.768054\pi\) | |||||||
\(948\) | 629.011 | − | 64.1365i | 0.0215499 | − | 0.00219732i | ||||
\(949\) | 31266.0 | + | 10534.8i | 1.06948 | + | 0.360350i | ||||
\(950\) | −7183.66 | − | 18029.6i | −0.245335 | − | 0.615745i | ||||
\(951\) | −1358.63 | + | 1415.13i | −0.0463267 | + | 0.0482531i | ||||
\(952\) | 2887.56 | + | 473.392i | 0.0983051 | + | 0.0161163i | ||||
\(953\) | 22160.0 | + | 18822.8i | 0.753234 | + | 0.639803i | 0.939442 | − | 0.342708i | \(-0.111344\pi\) |
−0.186208 | + | 0.982510i | \(0.559620\pi\) | |||||||
\(954\) | 15445.1 | − | 629.420i | 0.524164 | − | 0.0213608i | ||||
\(955\) | −170.832 | − | 776.098i | −0.00578848 | − | 0.0262973i | ||||
\(956\) | −135.204 | − | 401.271i | −0.00457407 | − | 0.0135754i | ||||
\(957\) | −16063.7 | + | 20839.4i | −0.542598 | + | 0.703910i | ||||
\(958\) | 8764.82 | + | 14567.2i | 0.295593 | + | 0.491280i | ||||
\(959\) | 222.512 | + | 2045.97i | 0.00749249 | + | 0.0688923i | ||||
\(960\) | 254.496 | − | 37882.9i | 0.00855608 | − | 1.27361i | ||||
\(961\) | 40984.2 | − | 60447.1i | 1.37572 | − | 2.02904i | ||||
\(962\) | 28057.5 | + | 26577.5i | 0.940344 | + | 0.890741i | ||||
\(963\) | −16504.2 | − | 1117.40i | −0.552274 | − | 0.0373913i | ||||
\(964\) | 702.256 | + | 324.898i | 0.0234628 | + | 0.0108551i | ||||
\(965\) | 14.0445 | − | 23.3421i | 0.000468505 | − | 0.000778662i | ||||
\(966\) | −1186.43 | − | 3036.89i | −0.0395164 | − | 0.101150i | ||||
\(967\) | 30162.2 | + | 31841.9i | 1.00305 | + | 1.05891i | 0.998263 | + | 0.0589213i | \(0.0187661\pi\) |
0.00479003 | + | 0.999989i | \(0.498475\pi\) | |||||||
\(968\) | −2207.90 | − | 7952.12i | −0.0733104 | − | 0.264040i | ||||
\(969\) | −23043.3 | + | 48941.8i | −0.763939 | + | 1.62254i | ||||
\(970\) | −31066.3 | + | 23616.0i | −1.02833 | + | 0.781716i | ||||
\(971\) | 35813.7 | + | 9943.63i | 1.18364 | + | 0.328637i | 0.802939 | − | 0.596061i | \(-0.203268\pi\) |
0.380703 | + | 0.924697i | \(0.375682\pi\) | |||||||
\(972\) | 883.290 | + | 29.6803i | 0.0291477 | + | 0.000979421i | ||||
\(973\) | 103.023 | + | 1900.15i | 0.00339442 | + | 0.0626065i | ||||
\(974\) | −338.544 | − | 6244.08i | −0.0111372 | − | 0.205414i | ||||
\(975\) | 13839.6 | − | 11596.3i | 0.454587 | − | 0.380902i | ||||
\(976\) | −48190.6 | − | 13380.1i | −1.58047 | − | 0.438817i | ||||
\(977\) | −38514.9 | + | 29278.3i | −1.26121 | + | 0.958746i | −0.999979 | − | 0.00653090i | \(-0.997921\pi\) |
−0.261230 | + | 0.965277i | \(0.584128\pi\) | |||||||
\(978\) | −4320.36 | − | 2034.16i | −0.141258 | − | 0.0665084i | ||||
\(979\) | −7331.74 | − | 26406.5i | −0.239350 | − | 0.862060i | ||||
\(980\) | −759.144 | − | 801.419i | −0.0247449 | − | 0.0261228i | ||||
\(981\) | −47449.2 | + | 31249.1i | −1.54428 | + | 1.01703i | ||||
\(982\) | 29509.2 | − | 49044.7i | 0.958939 | − | 1.59377i | ||||
\(983\) | −17875.7 | − | 8270.17i | −0.580005 | − | 0.268339i | 0.107873 | − | 0.994165i | \(-0.465596\pi\) |
−0.687879 | + | 0.725826i | \(0.741458\pi\) | |||||||
\(984\) | 24123.6 | + | 6872.76i | 0.781537 | + | 0.222658i | ||||
\(985\) | −4363.38 | − | 4133.22i | −0.141146 | − | 0.133701i | ||||
\(986\) | −25482.7 | + | 37584.2i | −0.823058 | + | 1.21392i | ||||
\(987\) | 2461.69 | + | 16.5376i | 0.0793887 | + | 0.000533332i | ||||
\(988\) | −135.646 | − | 1247.24i | −0.00436789 | − | 0.0401621i | ||||
\(989\) | 43094.8 | + | 71624.1i | 1.38558 | + | 2.30284i | ||||
\(990\) | 14042.2 | − | 29311.8i | 0.450800 | − | 0.941002i | ||||
\(991\) | −9462.14 | − | 28082.6i | −0.303304 | − | 0.900176i | −0.985599 | − | 0.169098i | \(-0.945914\pi\) |
0.682295 | − | 0.731077i | \(-0.260982\pi\) | |||||||
\(992\) | −727.589 | − | 3305.47i | −0.0232873 | − | 0.105795i | ||||
\(993\) | −3121.17 | + | 18268.7i | −0.0997456 | + | 0.583827i | ||||
\(994\) | 622.016 | + | 528.345i | 0.0198483 | + | 0.0168593i | ||||
\(995\) | 6168.24 | + | 1011.23i | 0.196529 | + | 0.0322193i | ||||
\(996\) | −157.004 | − | 150.736i | −0.00499483 | − | 0.00479542i | ||||
\(997\) | 6146.41 | + | 15426.3i | 0.195244 | + | 0.490027i | 0.993706 | − | 0.112019i | \(-0.0357318\pi\) |
−0.798462 | + | 0.602046i | \(0.794352\pi\) | |||||||
\(998\) | 31365.0 | + | 10568.1i | 0.994832 | + | 0.335198i | ||||
\(999\) | 18711.7 | + | 32567.2i | 0.592604 | + | 1.03141i |
(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 | 177.4.f.a.2.17 | ✓ | 1624 | |
3.2 | odd | 2 | inner | 177.4.f.a.2.42 | yes | 1624 | |
59.30 | odd | 58 | inner | 177.4.f.a.89.42 | yes | 1624 | |
177.89 | even | 58 | inner | 177.4.f.a.89.17 | yes | 1624 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.f.a.2.17 | ✓ | 1624 | 1.1 | even | 1 | trivial | |
177.4.f.a.2.42 | yes | 1624 | 3.2 | odd | 2 | inner | |
177.4.f.a.89.17 | yes | 1624 | 177.89 | even | 58 | inner | |
177.4.f.a.89.42 | yes | 1624 | 59.30 | odd | 58 | inner |