Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,4,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.89109359028\) |
Analytic rank: | \(0\) |
Dimension: | \(156\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 2.13 | ||
Character | \(\chi\) | \(=\) | 49.2 |
Dual form | 49.4.g.a.25.13 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{13}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.05101 | + | 1.55803i | 1.78580 | + | 0.550847i | 0.997889 | − | 0.0649420i | \(-0.0206862\pi\) |
0.787911 | + | 0.615788i | \(0.211162\pi\) | |||||||
\(3\) | 2.29854 | − | 5.85659i | 0.442355 | − | 1.12710i | −0.519725 | − | 0.854333i | \(-0.673966\pi\) |
0.962080 | − | 0.272768i | \(-0.0879390\pi\) | |||||||
\(4\) | 16.4753 | + | 11.2327i | 2.05941 | + | 1.40408i | ||||
\(5\) | −16.6099 | + | 2.50354i | −1.48563 | + | 0.223923i | −0.841194 | − | 0.540733i | \(-0.818147\pi\) |
−0.644438 | + | 0.764656i | \(0.722909\pi\) | |||||||
\(6\) | 20.7347 | − | 26.0005i | 1.41082 | − | 1.76911i | ||||
\(7\) | −18.4107 | − | 2.01144i | −0.994085 | − | 0.108608i | ||||
\(8\) | 39.3507 | + | 49.3442i | 1.73907 | + | 2.18073i | ||||
\(9\) | −9.22394 | − | 8.55857i | −0.341628 | − | 0.316984i | ||||
\(10\) | −87.7972 | − | 13.2333i | −2.77639 | − | 0.418474i | ||||
\(11\) | 14.9440 | − | 13.8660i | 0.409616 | − | 0.380068i | −0.448279 | − | 0.893894i | \(-0.647963\pi\) |
0.857894 | + | 0.513826i | \(0.171772\pi\) | |||||||
\(12\) | 103.654 | − | 70.6703i | 2.49354 | − | 1.70006i | ||||
\(13\) | 6.40934 | + | 28.0812i | 0.136741 | + | 0.599101i | 0.996139 | + | 0.0877933i | \(0.0279815\pi\) |
−0.859398 | + | 0.511307i | \(0.829161\pi\) | |||||||
\(14\) | −89.8587 | − | 38.8442i | −1.71541 | − | 0.741540i | ||||
\(15\) | −23.5163 | + | 103.032i | −0.404792 | + | 1.77351i | ||||
\(16\) | 63.6013 | + | 162.054i | 0.993771 | + | 2.53209i | ||||
\(17\) | 3.00214 | + | 40.0607i | 0.0428309 | + | 0.571539i | 0.976796 | + | 0.214173i | \(0.0687058\pi\) |
−0.933965 | + | 0.357365i | \(0.883675\pi\) | |||||||
\(18\) | −33.2557 | − | 57.6006i | −0.435469 | − | 0.754255i | ||||
\(19\) | 33.6752 | − | 58.3272i | 0.406612 | − | 0.704272i | −0.587896 | − | 0.808937i | \(-0.700044\pi\) |
0.994508 | + | 0.104664i | \(0.0333769\pi\) | |||||||
\(20\) | −301.774 | − | 145.327i | −3.37394 | − | 1.62480i | ||||
\(21\) | −54.0980 | + | 103.201i | −0.562150 | + | 1.07239i | ||||
\(22\) | 97.0856 | − | 46.7539i | 0.940851 | − | 0.453090i | ||||
\(23\) | 12.9187 | − | 172.388i | 0.117119 | − | 1.56285i | −0.560951 | − | 0.827849i | \(-0.689564\pi\) |
0.678070 | − | 0.734997i | \(-0.262817\pi\) | |||||||
\(24\) | 379.438 | − | 117.041i | 3.22719 | − | 0.995455i | ||||
\(25\) | 150.174 | − | 46.3225i | 1.20139 | − | 0.370580i | ||||
\(26\) | −11.3776 | + | 151.824i | −0.0858207 | + | 1.14520i | ||||
\(27\) | 81.7223 | − | 39.3554i | 0.582499 | − | 0.280517i | ||||
\(28\) | −280.728 | − | 239.941i | −1.89474 | − | 1.61945i | ||||
\(29\) | −157.641 | − | 75.9160i | −1.00942 | − | 0.486112i | −0.145297 | − | 0.989388i | \(-0.546414\pi\) |
−0.864126 | + | 0.503276i | \(0.832128\pi\) | |||||||
\(30\) | −279.308 | + | 483.775i | −1.69981 | + | 2.94416i | ||||
\(31\) | 24.6449 | + | 42.6862i | 0.142786 | + | 0.247312i | 0.928545 | − | 0.371221i | \(-0.121061\pi\) |
−0.785759 | + | 0.618533i | \(0.787727\pi\) | |||||||
\(32\) | 31.0347 | + | 414.129i | 0.171444 | + | 2.28776i | ||||
\(33\) | −46.8579 | − | 119.392i | −0.247179 | − | 0.629803i | ||||
\(34\) | −47.2520 | + | 207.024i | −0.238343 | + | 1.04425i | ||||
\(35\) | 310.835 | − | 12.6821i | 1.50116 | − | 0.0612475i | ||||
\(36\) | −55.8317 | − | 244.615i | −0.258480 | − | 1.13247i | ||||
\(37\) | −249.683 | + | 170.231i | −1.10940 | + | 0.756374i | −0.972196 | − | 0.234169i | \(-0.924763\pi\) |
−0.137201 | + | 0.990543i | \(0.543811\pi\) | |||||||
\(38\) | 260.969 | − | 242.144i | 1.11407 | − | 1.03371i | ||||
\(39\) | 179.192 | + | 27.0088i | 0.735735 | + | 0.110894i | ||||
\(40\) | −777.145 | − | 721.085i | −3.07194 | − | 2.85034i | ||||
\(41\) | 232.572 | + | 291.636i | 0.885894 | + | 1.11088i | 0.993173 | + | 0.116648i | \(0.0372148\pi\) |
−0.107279 | + | 0.994229i | \(0.534214\pi\) | |||||||
\(42\) | −434.039 | + | 436.981i | −1.59461 | + | 1.60542i | ||||
\(43\) | −147.229 | + | 184.619i | −0.522145 | + | 0.654749i | −0.971063 | − | 0.238824i | \(-0.923238\pi\) |
0.448918 | + | 0.893573i | \(0.351809\pi\) | |||||||
\(44\) | 401.958 | − | 60.5854i | 1.37721 | − | 0.207582i | ||||
\(45\) | 174.635 | + | 119.064i | 0.578513 | + | 0.394424i | ||||
\(46\) | 333.839 | − | 850.607i | 1.07004 | − | 2.72642i | ||||
\(47\) | 28.2706 | + | 8.72034i | 0.0877382 | + | 0.0270637i | 0.338314 | − | 0.941033i | \(-0.390144\pi\) |
−0.250575 | + | 0.968097i | \(0.580620\pi\) | |||||||
\(48\) | 1095.27 | 3.29352 | ||||||||
\(49\) | 334.908 | + | 74.0641i | 0.976409 | + | 0.215930i | ||||
\(50\) | 830.700 | 2.34958 | ||||||||
\(51\) | 241.520 | + | 74.4990i | 0.663128 | + | 0.204548i | ||||
\(52\) | −209.831 | + | 534.639i | −0.559582 | + | 1.42579i | ||||
\(53\) | 15.3647 | + | 10.4755i | 0.0398209 | + | 0.0271494i | 0.583067 | − | 0.812424i | \(-0.301853\pi\) |
−0.543246 | + | 0.839574i | \(0.682805\pi\) | |||||||
\(54\) | 474.097 | − | 71.4586i | 1.19475 | − | 0.180079i | ||||
\(55\) | −213.503 | + | 267.725i | −0.523432 | + | 0.656363i | ||||
\(56\) | −625.221 | − | 987.613i | −1.49194 | − | 2.35670i | ||||
\(57\) | −264.194 | − | 331.289i | −0.613919 | − | 0.769831i | ||||
\(58\) | −677.968 | − | 629.062i | −1.53485 | − | 1.42414i | ||||
\(59\) | −378.391 | − | 57.0333i | −0.834955 | − | 0.125849i | −0.282370 | − | 0.959306i | \(-0.591121\pi\) |
−0.552585 | + | 0.833456i | \(0.686359\pi\) | |||||||
\(60\) | −1544.76 | + | 1433.33i | −3.32379 | + | 3.08403i | ||||
\(61\) | 33.2801 | − | 22.6900i | 0.0698538 | − | 0.0476255i | −0.527890 | − | 0.849313i | \(-0.677017\pi\) |
0.597743 | + | 0.801687i | \(0.296064\pi\) | |||||||
\(62\) | 57.9752 | + | 254.006i | 0.118756 | + | 0.520303i | ||||
\(63\) | 152.604 | + | 176.123i | 0.305180 | + | 0.352212i | ||||
\(64\) | −178.564 | + | 782.339i | −0.348758 | + | 1.52801i | ||||
\(65\) | −176.761 | − | 450.378i | −0.337299 | − | 0.859424i | ||||
\(66\) | −50.6634 | − | 676.056i | −0.0944884 | − | 1.26086i | ||||
\(67\) | 411.708 | + | 713.099i | 0.750719 | + | 1.30028i | 0.947475 | + | 0.319830i | \(0.103626\pi\) |
−0.196756 | + | 0.980452i | \(0.563041\pi\) | |||||||
\(68\) | −400.528 | + | 693.735i | −0.714282 | + | 1.23717i | ||||
\(69\) | −979.914 | − | 471.902i | −1.70968 | − | 0.823338i | ||||
\(70\) | 1589.79 | + | 420.233i | 2.71452 | + | 0.717535i | ||||
\(71\) | 259.011 | − | 124.733i | 0.432942 | − | 0.208494i | −0.204703 | − | 0.978824i | \(-0.565623\pi\) |
0.637645 | + | 0.770330i | \(0.279909\pi\) | |||||||
\(72\) | 59.3472 | − | 791.934i | 0.0971408 | − | 1.29625i | ||||
\(73\) | 197.744 | − | 60.9959i | 0.317043 | − | 0.0977950i | −0.132149 | − | 0.991230i | \(-0.542188\pi\) |
0.449193 | + | 0.893435i | \(0.351712\pi\) | |||||||
\(74\) | −1526.38 | + | 470.825i | −2.39781 | + | 0.739626i | ||||
\(75\) | 73.8890 | − | 985.980i | 0.113760 | − | 1.51802i | ||||
\(76\) | 1209.98 | − | 582.695i | 1.82624 | − | 0.879470i | ||||
\(77\) | −303.019 | + | 225.223i | −0.448471 | + | 0.333332i | ||||
\(78\) | 863.019 | + | 415.608i | 1.25279 | + | 0.603312i | ||||
\(79\) | −278.943 | + | 483.143i | −0.397260 | + | 0.688074i | −0.993387 | − | 0.114816i | \(-0.963372\pi\) |
0.596127 | + | 0.802890i | \(0.296705\pi\) | |||||||
\(80\) | −1462.12 | − | 2532.46i | −2.04337 | − | 3.53922i | ||||
\(81\) | −68.0349 | − | 907.863i | −0.0933264 | − | 1.24535i | ||||
\(82\) | 720.346 | + | 1835.41i | 0.970108 | + | 2.47180i | ||||
\(83\) | 69.5241 | − | 304.605i | 0.0919429 | − | 0.402828i | −0.907924 | − | 0.419135i | \(-0.862334\pi\) |
0.999867 | + | 0.0163063i | \(0.00519069\pi\) | |||||||
\(84\) | −2050.50 | + | 1092.60i | −2.66343 | + | 1.41919i | ||||
\(85\) | −150.159 | − | 657.888i | −0.191612 | − | 0.839506i | ||||
\(86\) | −1031.30 | + | 703.126i | −1.29311 | + | 0.881629i | ||||
\(87\) | −806.954 | + | 748.744i | −0.994420 | + | 0.922687i | ||||
\(88\) | 1272.26 | + | 191.762i | 1.54117 | + | 0.232295i | ||||
\(89\) | −418.521 | − | 388.330i | −0.498462 | − | 0.462505i | 0.390423 | − | 0.920636i | \(-0.372329\pi\) |
−0.888885 | + | 0.458131i | \(0.848519\pi\) | |||||||
\(90\) | 696.578 | + | 873.481i | 0.815842 | + | 1.02303i | ||||
\(91\) | −61.5169 | − | 529.886i | −0.0708651 | − | 0.610408i | ||||
\(92\) | 2149.22 | − | 2695.04i | 2.43556 | − | 3.05410i | ||||
\(93\) | 306.643 | − | 46.2190i | 0.341907 | − | 0.0515342i | ||||
\(94\) | 129.209 | + | 88.0930i | 0.141775 | + | 0.0966606i | ||||
\(95\) | −413.317 | + | 1053.11i | −0.446373 | + | 1.13734i | ||||
\(96\) | 2496.72 | + | 770.136i | 2.65438 | + | 0.818767i | ||||
\(97\) | −520.443 | −0.544773 | −0.272386 | − | 0.962188i | \(-0.587813\pi\) | ||||
−0.272386 | + | 0.962188i | \(0.587813\pi\) | |||||||
\(98\) | 1576.23 | + | 895.895i | 1.62473 | + | 0.923460i | ||||
\(99\) | −256.515 | −0.260411 | ||||||||
\(100\) | 2994.48 | + | 923.676i | 2.99448 | + | 0.923676i | ||||
\(101\) | 75.0961 | − | 191.342i | 0.0739836 | − | 0.188507i | −0.889098 | − | 0.457717i | \(-0.848667\pi\) |
0.963082 | + | 0.269210i | \(0.0867625\pi\) | |||||||
\(102\) | 1103.85 | + | 752.590i | 1.07154 | + | 0.730564i | ||||
\(103\) | −1482.91 | + | 223.512i | −1.41859 | + | 0.213818i | −0.813143 | − | 0.582065i | \(-0.802245\pi\) |
−0.605450 | + | 0.795883i | \(0.707007\pi\) | |||||||
\(104\) | −1133.43 | + | 1421.28i | −1.06867 | + | 1.34007i | ||||
\(105\) | 640.194 | − | 1849.59i | 0.595015 | − | 1.71906i | ||||
\(106\) | 61.2863 | + | 76.8505i | 0.0561571 | + | 0.0704187i | ||||
\(107\) | −667.992 | − | 619.806i | −0.603525 | − | 0.559989i | 0.318107 | − | 0.948055i | \(-0.396953\pi\) |
−0.921632 | + | 0.388065i | \(0.873143\pi\) | |||||||
\(108\) | 1788.47 | + | 269.568i | 1.59347 | + | 0.240178i | ||||
\(109\) | 1072.75 | − | 995.362i | 0.942664 | − | 0.874664i | −0.0496055 | − | 0.998769i | \(-0.515796\pi\) |
0.992269 | + | 0.124105i | \(0.0396059\pi\) | |||||||
\(110\) | −1495.53 | + | 1019.63i | −1.29630 | + | 0.883803i | ||||
\(111\) | 423.067 | + | 1853.58i | 0.361763 | + | 1.58499i | ||||
\(112\) | −844.984 | − | 3111.45i | −0.712888 | − | 2.62504i | ||||
\(113\) | 228.334 | − | 1000.40i | 0.190087 | − | 0.832827i | −0.786480 | − | 0.617616i | \(-0.788099\pi\) |
0.976567 | − | 0.215212i | \(-0.0690441\pi\) | |||||||
\(114\) | −818.289 | − | 2084.97i | −0.672279 | − | 1.71294i | ||||
\(115\) | 217.002 | + | 2895.69i | 0.175961 | + | 2.34804i | ||||
\(116\) | −1744.45 | − | 3021.47i | −1.39627 | − | 2.41842i | ||||
\(117\) | 181.215 | − | 313.874i | 0.143191 | − | 0.248014i | ||||
\(118\) | −1822.40 | − | 877.620i | −1.42174 | − | 0.684674i | ||||
\(119\) | 25.3084 | − | 743.585i | 0.0194959 | − | 0.572810i | ||||
\(120\) | −6009.40 | + | 2893.98i | −4.57151 | + | 2.20152i | ||||
\(121\) | −68.4089 | + | 912.854i | −0.0513966 | + | 0.685841i | ||||
\(122\) | 203.450 | − | 62.7559i | 0.150979 | − | 0.0465709i | ||||
\(123\) | 2242.57 | − | 691.742i | 1.64395 | − | 0.507091i | ||||
\(124\) | −73.4480 | + | 980.096i | −0.0531922 | + | 0.709800i | ||||
\(125\) | −486.646 | + | 234.356i | −0.348215 | + | 0.167692i | ||||
\(126\) | 496.401 | + | 1127.36i | 0.350975 | + | 0.797088i | ||||
\(127\) | 1348.22 | + | 649.267i | 0.942007 | + | 0.453647i | 0.840877 | − | 0.541227i | \(-0.182040\pi\) |
0.101130 | + | 0.994873i | \(0.467754\pi\) | |||||||
\(128\) | −459.674 | + | 796.178i | −0.317420 | + | 0.549788i | ||||
\(129\) | 742.828 | + | 1286.62i | 0.506995 | + | 0.878141i | ||||
\(130\) | −191.116 | − | 2550.26i | −0.128938 | − | 1.72056i | ||||
\(131\) | −535.998 | − | 1365.70i | −0.357484 | − | 0.910853i | −0.990599 | − | 0.136796i | \(-0.956320\pi\) |
0.633116 | − | 0.774057i | \(-0.281776\pi\) | |||||||
\(132\) | 569.093 | − | 2493.36i | 0.375252 | − | 1.64408i | ||||
\(133\) | −737.306 | + | 1006.11i | −0.480696 | + | 0.655945i | ||||
\(134\) | 968.511 | + | 4243.32i | 0.624377 | + | 2.73558i | ||||
\(135\) | −1258.87 | + | 858.283i | −0.802565 | + | 0.547180i | ||||
\(136\) | −1858.63 | + | 1724.56i | −1.17188 | + | 1.08735i | ||||
\(137\) | −221.047 | − | 33.3174i | −0.137849 | − | 0.0207774i | 0.0797554 | − | 0.996814i | \(-0.474586\pi\) |
−0.217604 | + | 0.976037i | \(0.569824\pi\) | |||||||
\(138\) | −4214.32 | − | 3910.31i | −2.59961 | − | 2.41209i | ||||
\(139\) | −585.383 | − | 734.048i | −0.357206 | − | 0.447922i | 0.570465 | − | 0.821322i | \(-0.306763\pi\) |
−0.927670 | + | 0.373401i | \(0.878192\pi\) | |||||||
\(140\) | 5263.56 | + | 3282.57i | 3.17751 | + | 1.98163i | ||||
\(141\) | 116.053 | − | 145.525i | 0.0693149 | − | 0.0869181i | ||||
\(142\) | 1502.60 | − | 226.481i | 0.887997 | − | 0.133844i | ||||
\(143\) | 485.153 | + | 330.772i | 0.283710 | + | 0.193430i | ||||
\(144\) | 800.291 | − | 2039.11i | 0.463131 | − | 1.18004i | ||||
\(145\) | 2808.46 | + | 866.295i | 1.60848 | + | 0.496151i | ||||
\(146\) | 1093.84 | 0.620046 | ||||||||
\(147\) | 1203.56 | − | 1791.18i | 0.675294 | − | 1.00499i | ||||
\(148\) | −6025.76 | −3.34672 | ||||||||
\(149\) | −1372.19 | − | 423.266i | −0.754460 | − | 0.232720i | −0.106415 | − | 0.994322i | \(-0.533937\pi\) |
−0.648045 | + | 0.761602i | \(0.724413\pi\) | |||||||
\(150\) | 1909.40 | − | 4865.07i | 1.03935 | − | 2.64821i | ||||
\(151\) | 1271.71 | + | 867.034i | 0.685364 | + | 0.467273i | 0.855267 | − | 0.518188i | \(-0.173393\pi\) |
−0.169903 | + | 0.985461i | \(0.554346\pi\) | |||||||
\(152\) | 4203.25 | − | 633.538i | 2.24295 | − | 0.338071i | ||||
\(153\) | 315.171 | − | 395.212i | 0.166536 | − | 0.208830i | ||||
\(154\) | −1881.46 | + | 665.491i | −0.984494 | + | 0.348226i | ||||
\(155\) | −516.215 | − | 647.313i | −0.267506 | − | 0.335442i | ||||
\(156\) | 2648.86 | + | 2457.78i | 1.35948 | + | 1.26141i | ||||
\(157\) | −766.175 | − | 115.482i | −0.389474 | − | 0.0587038i | −0.0486137 | − | 0.998818i | \(-0.515480\pi\) |
−0.340861 | + | 0.940114i | \(0.610718\pi\) | |||||||
\(158\) | −2161.69 | + | 2005.76i | −1.08845 | + | 1.00993i | ||||
\(159\) | 96.6672 | − | 65.9066i | 0.0482151 | − | 0.0328725i | ||||
\(160\) | −1552.27 | − | 6800.94i | −0.766986 | − | 3.36038i | ||||
\(161\) | −584.592 | + | 3147.81i | −0.286163 | + | 1.54088i | ||||
\(162\) | 1070.83 | − | 4691.62i | 0.519337 | − | 2.27536i | ||||
\(163\) | 1327.82 | + | 3383.24i | 0.638056 | + | 1.62574i | 0.772644 | + | 0.634840i | \(0.218934\pi\) |
−0.134588 | + | 0.990902i | \(0.542971\pi\) | |||||||
\(164\) | 555.843 | + | 7417.20i | 0.264659 | + | 3.53162i | ||||
\(165\) | 1077.21 | + | 1865.78i | 0.508245 | + | 0.880306i | ||||
\(166\) | 825.750 | − | 1430.24i | 0.386088 | − | 0.668724i | ||||
\(167\) | 1545.31 | + | 744.183i | 0.716047 | + | 0.344830i | 0.756179 | − | 0.654364i | \(-0.227064\pi\) |
−0.0401325 | + | 0.999194i | \(0.512778\pi\) | |||||||
\(168\) | −7221.14 | + | 1391.59i | −3.31621 | + | 0.639069i | ||||
\(169\) | 1231.96 | − | 593.279i | 0.560745 | − | 0.270041i | ||||
\(170\) | 266.556 | − | 3556.95i | 0.120259 | − | 1.60474i | ||||
\(171\) | −809.815 | + | 249.795i | −0.362153 | + | 0.111709i | ||||
\(172\) | −4499.41 | + | 1387.88i | −1.99463 | + | 0.615263i | ||||
\(173\) | −4.30093 | + | 57.3919i | −0.00189014 | + | 0.0252221i | −0.998069 | − | 0.0621131i | \(-0.980216\pi\) |
0.996179 | + | 0.0873352i | \(0.0278351\pi\) | |||||||
\(174\) | −5242.49 | + | 2524.65i | −2.28409 | + | 1.09996i | ||||
\(175\) | −2857.98 | + | 550.764i | −1.23453 | + | 0.237908i | ||||
\(176\) | 3197.48 | + | 1539.83i | 1.36943 | + | 0.659482i | ||||
\(177\) | −1203.77 | + | 2084.99i | −0.511191 | + | 0.885409i | ||||
\(178\) | −1508.92 | − | 2613.53i | −0.635384 | − | 1.10052i | ||||
\(179\) | −315.397 | − | 4208.68i | −0.131698 | − | 1.75738i | −0.537355 | − | 0.843356i | \(-0.680577\pi\) |
0.405658 | − | 0.914025i | \(-0.367043\pi\) | |||||||
\(180\) | 1539.76 | + | 3923.24i | 0.637593 | + | 1.62456i | ||||
\(181\) | 930.967 | − | 4078.83i | 0.382311 | − | 1.67501i | −0.307912 | − | 0.951415i | \(-0.599630\pi\) |
0.690222 | − | 0.723597i | \(-0.257513\pi\) | |||||||
\(182\) | 514.856 | − | 2772.30i | 0.209690 | − | 1.12910i | ||||
\(183\) | −56.3903 | − | 247.062i | −0.0227786 | − | 0.0997997i | ||||
\(184\) | 9014.73 | − | 6146.14i | 3.61182 | − | 2.46250i | ||||
\(185\) | 3721.03 | − | 3452.61i | 1.47879 | − | 1.37211i | ||||
\(186\) | 1620.87 | + | 244.306i | 0.638966 | + | 0.0963086i | ||||
\(187\) | 600.344 | + | 557.038i | 0.234768 | + | 0.217832i | ||||
\(188\) | 367.815 | + | 461.225i | 0.142690 | + | 0.178927i | ||||
\(189\) | −1583.73 | + | 560.181i | −0.609519 | + | 0.215593i | ||||
\(190\) | −3728.45 | + | 4675.33i | −1.42363 | + | 1.78518i | ||||
\(191\) | 854.513 | − | 128.797i | 0.323720 | − | 0.0487929i | 0.0148277 | − | 0.999890i | \(-0.495280\pi\) |
0.308892 | + | 0.951097i | \(0.400042\pi\) | |||||||
\(192\) | 4171.40 | + | 2844.02i | 1.56794 | + | 1.06901i | ||||
\(193\) | −488.620 | + | 1244.98i | −0.182236 | + | 0.464331i | −0.992575 | − | 0.121631i | \(-0.961188\pi\) |
0.810339 | + | 0.585961i | \(0.199283\pi\) | |||||||
\(194\) | −2628.76 | − | 810.865i | −0.972855 | − | 0.300086i | ||||
\(195\) | −3043.97 | −1.11786 | ||||||||
\(196\) | 4685.78 | + | 4982.14i | 1.70764 | + | 1.81565i | ||||
\(197\) | −4772.10 | −1.72588 | −0.862940 | − | 0.505306i | \(-0.831379\pi\) | ||||
−0.862940 | + | 0.505306i | \(0.831379\pi\) | |||||||
\(198\) | −1295.66 | − | 399.658i | −0.465043 | − | 0.143447i | ||||
\(199\) | 76.9606 | − | 196.092i | 0.0274150 | − | 0.0698524i | −0.916511 | − | 0.400010i | \(-0.869007\pi\) |
0.943926 | + | 0.330158i | \(0.107102\pi\) | |||||||
\(200\) | 8195.19 | + | 5587.38i | 2.89744 | + | 1.97544i | ||||
\(201\) | 5122.66 | − | 772.116i | 1.79763 | − | 0.270950i | ||||
\(202\) | 677.427 | − | 849.466i | 0.235958 | − | 0.295882i | ||||
\(203\) | 2749.59 | + | 1714.75i | 0.950656 | + | 0.592868i | ||||
\(204\) | 3142.29 | + | 3940.31i | 1.07845 | + | 1.35234i | ||||
\(205\) | −4593.12 | − | 4261.79i | −1.56486 | − | 1.45198i | ||||
\(206\) | −7838.41 | − | 1181.45i | −2.65111 | − | 0.399590i | ||||
\(207\) | −1594.56 | + | 1479.54i | −0.535408 | + | 0.496786i | ||||
\(208\) | −4143.01 | + | 2824.65i | −1.38109 | + | 0.941608i | ||||
\(209\) | −305.522 | − | 1338.58i | −0.101117 | − | 0.443021i | ||||
\(210\) | 6115.33 | − | 8344.82i | 2.00951 | − | 2.74213i | ||||
\(211\) | −907.461 | + | 3975.85i | −0.296077 | + | 1.29720i | 0.579838 | + | 0.814732i | \(0.303116\pi\) |
−0.875915 | + | 0.482466i | \(0.839741\pi\) | |||||||
\(212\) | 135.471 | + | 345.174i | 0.0438876 | + | 0.111824i | ||||
\(213\) | −135.163 | − | 1803.62i | −0.0434798 | − | 0.580198i | ||||
\(214\) | −2408.35 | − | 4171.39i | −0.769307 | − | 1.33248i | ||||
\(215\) | 1983.25 | − | 3435.10i | 0.629102 | − | 1.08964i | ||||
\(216\) | 5157.79 | + | 2483.86i | 1.62474 | + | 0.782432i | ||||
\(217\) | −367.869 | − | 835.455i | −0.115081 | − | 0.261357i | ||||
\(218\) | 6969.25 | − | 3356.21i | 2.16521 | − | 1.04271i | ||||
\(219\) | 97.2946 | − | 1298.31i | 0.0300208 | − | 0.400600i | ||||
\(220\) | −6524.79 | + | 2012.63i | −1.99955 | + | 0.616780i | ||||
\(221\) | −1105.71 | + | 341.066i | −0.336553 | + | 0.103813i | ||||
\(222\) | −751.013 | + | 10021.6i | −0.227048 | + | 3.02975i | ||||
\(223\) | 1069.82 | − | 515.197i | 0.321257 | − | 0.154709i | −0.266304 | − | 0.963889i | \(-0.585802\pi\) |
0.587561 | + | 0.809180i | \(0.300088\pi\) | |||||||
\(224\) | 261.626 | − | 7686.83i | 0.0780385 | − | 2.29285i | ||||
\(225\) | −1781.65 | − | 857.997i | −0.527896 | − | 0.254221i | ||||
\(226\) | 2711.97 | − | 4697.26i | 0.798218 | − | 1.38255i | ||||
\(227\) | 1447.87 | + | 2507.79i | 0.423342 | + | 0.733250i | 0.996264 | − | 0.0863602i | \(-0.0275236\pi\) |
−0.572922 | + | 0.819610i | \(0.694190\pi\) | |||||||
\(228\) | −631.419 | − | 8425.70i | −0.183407 | − | 2.44739i | ||||
\(229\) | 1424.46 | + | 3629.46i | 0.411052 | + | 1.04734i | 0.975132 | + | 0.221623i | \(0.0711354\pi\) |
−0.564081 | + | 0.825720i | \(0.690769\pi\) | |||||||
\(230\) | −3415.50 | + | 14964.3i | −0.979179 | + | 4.29006i | ||||
\(231\) | 622.537 | + | 2292.34i | 0.177316 | + | 0.652923i | ||||
\(232\) | −2457.28 | − | 10766.0i | −0.695380 | − | 3.04666i | ||||
\(233\) | −2114.12 | + | 1441.38i | −0.594423 | + | 0.405271i | −0.822824 | − | 0.568297i | \(-0.807603\pi\) |
0.228401 | + | 0.973567i | \(0.426650\pi\) | |||||||
\(234\) | 1404.34 | − | 1303.04i | 0.392328 | − | 0.364027i | ||||
\(235\) | −491.404 | − | 74.0672i | −0.136407 | − | 0.0205600i | ||||
\(236\) | −5593.48 | − | 5189.99i | −1.54281 | − | 1.43152i | ||||
\(237\) | 2188.41 | + | 2744.18i | 0.599799 | + | 0.752125i | ||||
\(238\) | 1286.36 | − | 3716.42i | 0.350346 | − | 1.01218i | ||||
\(239\) | 144.869 | − | 181.660i | 0.0392083 | − | 0.0491657i | −0.761841 | − | 0.647764i | \(-0.775704\pi\) |
0.801049 | + | 0.598599i | \(0.204276\pi\) | |||||||
\(240\) | −18192.3 | + | 2742.05i | −4.89296 | + | 0.737494i | ||||
\(241\) | 2013.35 | + | 1372.68i | 0.538137 | + | 0.366896i | 0.801681 | − | 0.597751i | \(-0.203939\pi\) |
−0.263544 | + | 0.964647i | \(0.584891\pi\) | |||||||
\(242\) | −1767.79 | + | 4504.25i | −0.469577 | + | 1.19646i | ||||
\(243\) | −3133.13 | − | 966.444i | −0.827122 | − | 0.255133i | ||||
\(244\) | 803.169 | 0.210728 | ||||||||
\(245\) | −5748.21 | − | 391.741i | −1.49894 | − | 0.102153i | ||||
\(246\) | 12405.0 | 3.21510 | ||||||||
\(247\) | 1853.73 | + | 571.800i | 0.477530 | + | 0.147299i | ||||
\(248\) | −1136.52 | + | 2895.81i | −0.291005 | + | 0.741469i | ||||
\(249\) | −1624.14 | − | 1107.32i | −0.413357 | − | 0.281822i | ||||
\(250\) | −2823.19 | + | 425.527i | −0.714216 | + | 0.107651i | ||||
\(251\) | 4699.84 | − | 5893.41i | 1.18188 | − | 1.48203i | 0.341619 | − | 0.939838i | \(-0.389025\pi\) |
0.840257 | − | 0.542188i | \(-0.182404\pi\) | |||||||
\(252\) | 535.873 | + | 4615.83i | 0.133956 | + | 1.15385i | ||||
\(253\) | −2197.27 | − | 2755.29i | −0.546014 | − | 0.684679i | ||||
\(254\) | 5798.28 | + | 5380.01i | 1.43235 | + | 1.32902i | ||||
\(255\) | −4198.13 | − | 632.766i | −1.03097 | − | 0.155393i | ||||
\(256\) | 1143.67 | − | 1061.17i | 0.279216 | − | 0.259074i | ||||
\(257\) | −6701.93 | + | 4569.30i | −1.62667 | + | 1.10905i | −0.714175 | + | 0.699967i | \(0.753198\pi\) |
−0.912499 | + | 0.409080i | \(0.865850\pi\) | |||||||
\(258\) | 1747.44 | + | 7656.05i | 0.421671 | + | 1.84746i | ||||
\(259\) | 4939.26 | − | 2631.85i | 1.18498 | − | 0.631411i | ||||
\(260\) | 2146.77 | − | 9405.62i | 0.512066 | − | 2.24351i | ||||
\(261\) | 804.341 | + | 2049.43i | 0.190757 | + | 0.486040i | ||||
\(262\) | −579.528 | − | 7733.26i | −0.136654 | − | 1.82352i | ||||
\(263\) | 1891.20 | + | 3275.65i | 0.443408 | + | 0.768005i | 0.997940 | − | 0.0641576i | \(-0.0204360\pi\) |
−0.554532 | + | 0.832162i | \(0.687103\pi\) | |||||||
\(264\) | 4047.41 | − | 7010.33i | 0.943565 | − | 1.63430i | ||||
\(265\) | −281.432 | − | 135.531i | −0.0652387 | − | 0.0314173i | ||||
\(266\) | −5291.69 | + | 3933.12i | −1.21975 | + | 0.906597i | ||||
\(267\) | −3236.28 | + | 1558.51i | −0.741787 | + | 0.357226i | ||||
\(268\) | −1226.99 | + | 16373.1i | −0.279667 | + | 3.73189i | ||||
\(269\) | 4280.69 | − | 1320.42i | 0.970255 | − | 0.299284i | 0.231183 | − | 0.972910i | \(-0.425740\pi\) |
0.739072 | + | 0.673626i | \(0.235264\pi\) | |||||||
\(270\) | −7695.79 | + | 2373.84i | −1.73463 | + | 0.535063i | ||||
\(271\) | 36.8285 | − | 491.442i | 0.00825524 | − | 0.110159i | −0.991554 | − | 0.129695i | \(-0.958600\pi\) |
0.999809 | + | 0.0195368i | \(0.00621914\pi\) | |||||||
\(272\) | −6301.04 | + | 3034.42i | −1.40462 | + | 0.676430i | ||||
\(273\) | −3244.72 | − | 857.686i | −0.719339 | − | 0.190145i | ||||
\(274\) | −1064.60 | − | 512.683i | −0.234725 | − | 0.113038i | ||||
\(275\) | 1601.88 | − | 2774.54i | 0.351263 | − | 0.608405i | ||||
\(276\) | −10843.7 | − | 18781.8i | −2.36490 | − | 4.09612i | ||||
\(277\) | −103.483 | − | 1380.89i | −0.0224466 | − | 0.299528i | −0.997117 | − | 0.0758817i | \(-0.975823\pi\) |
0.974670 | − | 0.223647i | \(-0.0717962\pi\) | |||||||
\(278\) | −1813.11 | − | 4619.72i | −0.391162 | − | 0.996664i | ||||
\(279\) | 138.010 | − | 604.660i | 0.0296144 | − | 0.129749i | ||||
\(280\) | 12857.4 | + | 14838.9i | 2.74420 | + | 3.16712i | ||||
\(281\) | 284.826 | + | 1247.90i | 0.0604672 | + | 0.264924i | 0.996121 | − | 0.0879954i | \(-0.0280461\pi\) |
−0.935654 | + | 0.352920i | \(0.885189\pi\) | |||||||
\(282\) | 812.916 | − | 554.237i | 0.171661 | − | 0.117037i | ||||
\(283\) | −3282.16 | + | 3045.40i | −0.689414 | + | 0.639682i | −0.944987 | − | 0.327107i | \(-0.893926\pi\) |
0.255574 | + | 0.966790i | \(0.417736\pi\) | |||||||
\(284\) | 5668.36 | + | 854.368i | 1.18435 | + | 0.178512i | ||||
\(285\) | 5217.63 | + | 4841.26i | 1.08444 | + | 1.00621i | ||||
\(286\) | 1935.16 | + | 2426.61i | 0.400099 | + | 0.501708i | ||||
\(287\) | −3695.21 | − | 5837.04i | −0.760004 | − | 1.20052i | ||||
\(288\) | 3258.09 | − | 4085.52i | 0.666614 | − | 0.835907i | ||||
\(289\) | 3262.28 | − | 491.709i | 0.664009 | − | 0.100083i | ||||
\(290\) | 12835.8 | + | 8751.33i | 2.59913 | + | 1.77205i | ||||
\(291\) | −1196.26 | + | 3048.02i | −0.240983 | + | 0.614014i | ||||
\(292\) | 3943.04 | + | 1216.27i | 0.790236 | + | 0.243755i | ||||
\(293\) | 9793.37 | 1.95268 | 0.976339 | − | 0.216246i | \(-0.0693814\pi\) | ||||
0.976339 | + | 0.216246i | \(0.0693814\pi\) | |||||||
\(294\) | 8869.92 | − | 7172.08i | 1.75954 | − | 1.42273i | ||||
\(295\) | 6427.82 | 1.26862 | ||||||||
\(296\) | −18225.1 | − | 5621.71i | −3.57876 | − | 1.10390i | ||||
\(297\) | 675.554 | − | 1721.28i | 0.131985 | − | 0.336293i | ||||
\(298\) | −6271.50 | − | 4275.84i | −1.21912 | − | 0.831183i | ||||
\(299\) | 4923.67 | − | 742.123i | 0.952318 | − | 0.143539i | ||||
\(300\) | 12292.5 | − | 15414.4i | 2.36570 | − | 2.96649i | ||||
\(301\) | 3081.94 | − | 3102.83i | 0.590167 | − | 0.594167i | ||||
\(302\) | 5072.53 | + | 6360.75i | 0.966527 | + | 1.21199i | ||||
\(303\) | −947.998 | − | 879.614i | −0.179740 | − | 0.166774i | ||||
\(304\) | 11593.9 | + | 1747.50i | 2.18736 | + | 0.329691i | ||||
\(305\) | −495.973 | + | 460.196i | −0.0931126 | + | 0.0863959i | ||||
\(306\) | 2207.68 | − | 1505.17i | 0.412434 | − | 0.281193i | ||||
\(307\) | −2187.20 | − | 9582.74i | −0.406612 | − | 1.78148i | −0.599618 | − | 0.800287i | \(-0.704681\pi\) |
0.193006 | − | 0.981198i | \(-0.438176\pi\) | |||||||
\(308\) | −7522.19 | + | 306.905i | −1.39161 | + | 0.0567777i | ||||
\(309\) | −2099.50 | + | 9198.52i | −0.386526 | + | 1.69348i | ||||
\(310\) | −1598.87 | − | 4073.86i | −0.292935 | − | 0.746386i | ||||
\(311\) | 178.807 | + | 2386.01i | 0.0326019 | + | 0.435042i | 0.989492 | + | 0.144590i | \(0.0461865\pi\) |
−0.956890 | + | 0.290452i | \(0.906194\pi\) | |||||||
\(312\) | 5718.60 | + | 9904.90i | 1.03767 | + | 1.79729i | ||||
\(313\) | −1631.42 | + | 2825.71i | −0.294612 | + | 0.510282i | −0.974894 | − | 0.222667i | \(-0.928524\pi\) |
0.680283 | + | 0.732950i | \(0.261857\pi\) | |||||||
\(314\) | −3690.03 | − | 1777.03i | −0.663186 | − | 0.319374i | ||||
\(315\) | −2975.67 | − | 2543.33i | −0.532254 | − | 0.454921i | ||||
\(316\) | −10022.7 | + | 4826.66i | −1.78424 | + | 0.859243i | ||||
\(317\) | 197.685 | − | 2637.92i | 0.0350255 | − | 0.467383i | −0.951922 | − | 0.306341i | \(-0.900895\pi\) |
0.986947 | − | 0.161042i | \(-0.0514856\pi\) | |||||||
\(318\) | 590.951 | − | 182.284i | 0.104210 | − | 0.0321446i | ||||
\(319\) | −3408.43 | + | 1051.36i | −0.598231 | + | 0.184530i | ||||
\(320\) | 1007.31 | − | 13441.6i | 0.175970 | − | 2.34815i | ||||
\(321\) | −5165.35 | + | 2487.50i | −0.898137 | + | 0.432520i | ||||
\(322\) | −7857.15 | + | 14988.8i | −1.35982 | + | 2.59408i | ||||
\(323\) | 2437.73 | + | 1173.95i | 0.419934 | + | 0.202230i | ||||
\(324\) | 9076.83 | − | 15721.5i | 1.55638 | − | 2.69574i | ||||
\(325\) | 2263.30 | + | 3920.16i | 0.386294 | + | 0.669080i | ||||
\(326\) | 1435.66 | + | 19157.6i | 0.243908 | + | 3.25472i | ||||
\(327\) | −3363.68 | − | 8570.51i | −0.568843 | − | 1.44939i | ||||
\(328\) | −5238.68 | + | 22952.2i | −0.881884 | + | 3.86379i | ||||
\(329\) | −502.942 | − | 217.412i | −0.0842799 | − | 0.0364326i | ||||
\(330\) | 2534.04 | + | 11102.4i | 0.422711 | + | 1.85202i | ||||
\(331\) | 481.437 | − | 328.238i | 0.0799462 | − | 0.0545064i | −0.522687 | − | 0.852524i | \(-0.675070\pi\) |
0.602634 | + | 0.798018i | \(0.294118\pi\) | |||||||
\(332\) | 4566.96 | − | 4237.52i | 0.754953 | − | 0.700494i | ||||
\(333\) | 3760.00 | + | 566.729i | 0.618759 | + | 0.0932629i | ||||
\(334\) | 6645.92 | + | 6166.51i | 1.08877 | + | 1.01023i | ||||
\(335\) | −8623.69 | − | 10813.8i | −1.40646 | − | 1.76364i | ||||
\(336\) | −20164.7 | − | 2203.07i | −3.27403 | − | 0.357701i | ||||
\(337\) | 897.566 | − | 1125.51i | 0.145085 | − | 0.181930i | −0.703979 | − | 0.710221i | \(-0.748595\pi\) |
0.849064 | + | 0.528290i | \(0.177167\pi\) | |||||||
\(338\) | 7146.97 | − | 1077.23i | 1.15013 | − | 0.173354i | ||||
\(339\) | −5334.08 | − | 3636.71i | −0.854594 | − | 0.582653i | ||||
\(340\) | 4915.93 | − | 12525.6i | 0.784129 | − | 1.99793i | ||||
\(341\) | 960.177 | + | 296.175i | 0.152482 | + | 0.0470346i | ||||
\(342\) | −4479.57 | −0.708267 | ||||||||
\(343\) | −6016.92 | − | 2037.22i | −0.947181 | − | 0.320699i | ||||
\(344\) | −14903.5 | −2.33587 | ||||||||
\(345\) | 17457.7 | + | 5384.98i | 2.72432 | + | 0.840341i | ||||
\(346\) | −111.142 | + | 283.186i | −0.0172689 | + | 0.0440005i | ||||
\(347\) | −4525.49 | − | 3085.42i | −0.700118 | − | 0.477332i | 0.160204 | − | 0.987084i | \(-0.448785\pi\) |
−0.860321 | + | 0.509752i | \(0.829737\pi\) | |||||||
\(348\) | −21705.2 | + | 3271.53i | −3.34345 | + | 0.503944i | ||||
\(349\) | −6194.55 | + | 7767.72i | −0.950105 | + | 1.19139i | 0.0313120 | + | 0.999510i | \(0.490031\pi\) |
−0.981417 | + | 0.191885i | \(0.938540\pi\) | |||||||
\(350\) | −15293.8 | − | 1670.91i | −2.33568 | − | 0.255182i | ||||
\(351\) | 1628.93 | + | 2042.61i | 0.247709 | + | 0.310617i | ||||
\(352\) | 6206.08 | + | 5758.40i | 0.939730 | + | 0.871942i | ||||
\(353\) | −6198.58 | − | 934.286i | −0.934610 | − | 0.140870i | −0.335956 | − | 0.941878i | \(-0.609059\pi\) |
−0.598654 | + | 0.801008i | \(0.704297\pi\) | |||||||
\(354\) | −9328.72 | + | 8655.79i | −1.40061 | + | 1.29958i | ||||
\(355\) | −3989.86 | + | 2720.24i | −0.596507 | + | 0.406691i | ||||
\(356\) | −2533.27 | − | 11099.0i | −0.377143 | − | 1.65237i | ||||
\(357\) | −4296.70 | − | 1857.38i | −0.636990 | − | 0.275359i | ||||
\(358\) | 4964.17 | − | 21749.4i | 0.732862 | − | 3.21088i | ||||
\(359\) | 1824.15 | + | 4647.85i | 0.268175 | + | 0.683299i | 0.999998 | + | 0.00180441i | \(0.000574361\pi\) |
−0.731823 | + | 0.681494i | \(0.761330\pi\) | |||||||
\(360\) | 996.885 | + | 13302.5i | 0.145946 | + | 1.94751i | ||||
\(361\) | 1161.46 | + | 2011.71i | 0.169334 | + | 0.293295i | ||||
\(362\) | 11057.3 | − | 19151.7i | 1.60541 | − | 2.78064i | ||||
\(363\) | 5188.97 | + | 2498.88i | 0.750276 | + | 0.361314i | ||||
\(364\) | 4938.52 | − | 9421.03i | 0.711124 | − | 1.35658i | ||||
\(365\) | −3131.80 | + | 1508.19i | −0.449112 | + | 0.216281i | ||||
\(366\) | 100.102 | − | 1335.77i | 0.0142962 | − | 0.190770i | ||||
\(367\) | −4018.26 | + | 1239.47i | −0.571530 | + | 0.176294i | −0.567031 | − | 0.823696i | \(-0.691908\pi\) |
−0.00449865 | + | 0.999990i | \(0.501432\pi\) | |||||||
\(368\) | 28757.8 | − | 8870.61i | 4.07365 | − | 1.25656i | ||||
\(369\) | 350.757 | − | 4680.52i | 0.0494842 | − | 0.660320i | ||||
\(370\) | 24174.2 | − | 11641.7i | 3.39664 | − | 1.63574i | ||||
\(371\) | −261.805 | − | 223.767i | −0.0366367 | − | 0.0313137i | ||||
\(372\) | 5571.20 | + | 2682.95i | 0.776487 | + | 0.373936i | ||||
\(373\) | −4076.94 | + | 7061.47i | −0.565941 | + | 0.980239i | 0.431020 | + | 0.902342i | \(0.358154\pi\) |
−0.996961 | + | 0.0778969i | \(0.975179\pi\) | |||||||
\(374\) | 2164.46 | + | 3748.96i | 0.299256 | + | 0.518326i | ||||
\(375\) | 253.953 | + | 3388.76i | 0.0349708 | + | 0.466653i | ||||
\(376\) | 682.171 | + | 1738.14i | 0.0935646 | + | 0.238399i | ||||
\(377\) | 1121.43 | − | 4913.32i | 0.153201 | − | 0.671217i | ||||
\(378\) | −8872.19 | + | 361.985i | −1.20724 | + | 0.0492553i | ||||
\(379\) | −1452.50 | − | 6363.84i | −0.196861 | − | 0.862503i | −0.972791 | − | 0.231684i | \(-0.925576\pi\) |
0.775930 | − | 0.630818i | \(-0.217281\pi\) | |||||||
\(380\) | −18638.8 | + | 12707.7i | −2.51619 | + | 1.71551i | ||||
\(381\) | 6901.42 | − | 6403.58i | 0.928007 | − | 0.861065i | ||||
\(382\) | 4516.82 | + | 680.802i | 0.604976 | + | 0.0911854i | ||||
\(383\) | 5481.78 | + | 5086.35i | 0.731347 | + | 0.678591i | 0.955176 | − | 0.296037i | \(-0.0956653\pi\) |
−0.223829 | + | 0.974628i | \(0.571856\pi\) | |||||||
\(384\) | 3606.31 | + | 4522.17i | 0.479254 | + | 0.600966i | ||||
\(385\) | 4469.26 | − | 4499.55i | 0.591622 | − | 0.595632i | ||||
\(386\) | −4407.74 | + | 5527.13i | −0.581213 | + | 0.728818i | ||||
\(387\) | 2938.11 | − | 442.849i | 0.385924 | − | 0.0581686i | ||||
\(388\) | −8574.45 | − | 5845.96i | −1.12191 | − | 0.764907i | ||||
\(389\) | 2772.14 | − | 7063.29i | 0.361319 | − | 0.920625i | −0.628438 | − | 0.777860i | \(-0.716305\pi\) |
0.989757 | − | 0.142765i | \(-0.0455993\pi\) | |||||||
\(390\) | −15375.1 | − | 4742.60i | −1.99628 | − | 0.615771i | ||||
\(391\) | 6944.79 | 0.898244 | ||||||||
\(392\) | 9524.23 | + | 19440.3i | 1.22716 | + | 2.50480i | ||||
\(393\) | −9230.36 | −1.18476 | ||||||||
\(394\) | −24103.9 | − | 7435.08i | −3.08208 | − | 0.950695i | ||||
\(395\) | 3423.64 | − | 8723.29i | 0.436106 | − | 1.11118i | ||||
\(396\) | −4226.16 | − | 2881.35i | −0.536294 | − | 0.365639i | ||||
\(397\) | −181.669 | + | 27.3822i | −0.0229665 | + | 0.00346165i | −0.160515 | − | 0.987033i | \(-0.551316\pi\) |
0.137549 | + | 0.990495i | \(0.456078\pi\) | |||||||
\(398\) | 694.247 | − | 870.558i | 0.0874358 | − | 0.109641i | ||||
\(399\) | 4197.64 | + | 6630.68i | 0.526678 | + | 0.831953i | ||||
\(400\) | 17058.0 | + | 21390.0i | 2.13225 | + | 2.67375i | ||||
\(401\) | 1876.15 | + | 1740.82i | 0.233642 | + | 0.216789i | 0.788301 | − | 0.615289i | \(-0.210961\pi\) |
−0.554659 | + | 0.832078i | \(0.687151\pi\) | |||||||
\(402\) | 27077.6 | + | 4081.29i | 3.35947 | + | 0.506358i | ||||
\(403\) | −1040.72 | + | 965.647i | −0.128640 | + | 0.119361i | ||||
\(404\) | 3386.51 | − | 2308.88i | 0.417042 | − | 0.284335i | ||||
\(405\) | 3402.92 | + | 14909.2i | 0.417512 | + | 1.82924i | ||||
\(406\) | 11216.5 | + | 12945.2i | 1.37110 | + | 1.58241i | ||||
\(407\) | −1370.84 | + | 6006.03i | −0.166953 | + | 0.731468i | ||||
\(408\) | 5827.88 | + | 14849.2i | 0.707164 | + | 1.80182i | ||||
\(409\) | 215.675 | + | 2877.98i | 0.0260744 | + | 0.347939i | 0.994949 | + | 0.100385i | \(0.0320076\pi\) |
−0.968874 | + | 0.247554i | \(0.920373\pi\) | |||||||
\(410\) | −16559.9 | − | 28682.5i | −1.99472 | − | 3.45495i | ||||
\(411\) | −703.211 | + | 1218.00i | −0.0843962 | + | 0.146179i | ||||
\(412\) | −26942.0 | − | 12974.6i | −3.22169 | − | 1.55148i | ||||
\(413\) | 6851.73 | + | 1811.14i | 0.816348 | + | 0.215787i | ||||
\(414\) | −10359.3 | + | 4988.77i | −1.22979 | + | 0.592234i | ||||
\(415\) | −392.197 | + | 5233.51i | −0.0463909 | + | 0.619043i | ||||
\(416\) | −11430.3 | + | 3525.78i | −1.34716 | + | 0.415543i | ||||
\(417\) | −5644.54 | + | 1741.11i | −0.662864 | + | 0.204467i | ||||
\(418\) | 542.351 | − | 7237.18i | 0.0634624 | − | 0.846847i | ||||
\(419\) | −14963.4 | + | 7205.99i | −1.74465 | + | 0.840180i | −0.763793 | + | 0.645461i | \(0.776665\pi\) |
−0.980859 | + | 0.194720i | \(0.937620\pi\) | |||||||
\(420\) | 31323.2 | − | 23281.4i | 3.63908 | − | 2.70480i | ||||
\(421\) | −7897.74 | − | 3803.35i | −0.914281 | − | 0.440295i | −0.0832554 | − | 0.996528i | \(-0.526532\pi\) |
−0.831026 | + | 0.556234i | \(0.812246\pi\) | |||||||
\(422\) | −10778.1 | + | 18668.2i | −1.24329 | + | 2.15344i | ||||
\(423\) | −186.133 | − | 322.392i | −0.0213950 | − | 0.0370573i | ||||
\(424\) | 87.7078 | + | 1170.38i | 0.0100459 | + | 0.134053i | ||||
\(425\) | 2306.56 | + | 5877.01i | 0.263257 | + | 0.670769i | ||||
\(426\) | 2127.39 | − | 9320.70i | 0.241954 | − | 1.06007i | ||||
\(427\) | −658.350 | + | 350.798i | −0.0746131 | + | 0.0397571i | ||||
\(428\) | −4043.29 | − | 17714.8i | −0.456635 | − | 2.00065i | ||||
\(429\) | 3052.34 | − | 2081.05i | 0.343516 | − | 0.234205i | ||||
\(430\) | 15369.4 | − | 14260.7i | 1.72367 | − | 1.59933i | ||||
\(431\) | −1910.79 | − | 288.005i | −0.213548 | − | 0.0321872i | 0.0413967 | − | 0.999143i | \(-0.486819\pi\) |
−0.254945 | + | 0.966956i | \(0.582057\pi\) | |||||||
\(432\) | 11575.3 | + | 10740.3i | 1.28916 | + | 1.19617i | ||||
\(433\) | −2027.57 | − | 2542.50i | −0.225032 | − | 0.282181i | 0.656479 | − | 0.754344i | \(-0.272045\pi\) |
−0.881511 | + | 0.472163i | \(0.843474\pi\) | |||||||
\(434\) | −556.446 | − | 4793.04i | −0.0615444 | − | 0.530123i | ||||
\(435\) | 11528.9 | − | 14456.8i | 1.27073 | − | 1.59345i | ||||
\(436\) | 28854.4 | − | 4349.10i | 3.16944 | − | 0.477716i | ||||
\(437\) | −9619.89 | − | 6558.73i | −1.05305 | − | 0.717956i | ||||
\(438\) | 2514.24 | − | 6406.17i | 0.274280 | − | 0.698855i | ||||
\(439\) | 6662.35 | + | 2055.06i | 0.724320 | + | 0.223423i | 0.634926 | − | 0.772573i | \(-0.281031\pi\) |
0.0893945 | + | 0.995996i | \(0.471507\pi\) | |||||||
\(440\) | −21612.2 | −2.34163 | ||||||||
\(441\) | −2455.29 | − | 3549.50i | −0.265122 | − | 0.383274i | ||||
\(442\) | −6116.34 | −0.658201 | ||||||||
\(443\) | −10103.2 | − | 3116.44i | −1.08357 | − | 0.334236i | −0.298982 | − | 0.954259i | \(-0.596647\pi\) |
−0.784584 | + | 0.620023i | \(0.787123\pi\) | |||||||
\(444\) | −13850.5 | + | 35290.4i | −1.48044 | + | 3.77209i | ||||
\(445\) | 7923.78 | + | 5402.34i | 0.844097 | + | 0.575495i | ||||
\(446\) | 6206.35 | − | 935.457i | 0.658922 | − | 0.0993165i | ||||
\(447\) | −5632.94 | + | 7063.48i | −0.596038 | + | 0.747408i | ||||
\(448\) | 4861.12 | − | 14044.3i | 0.512648 | − | 1.48109i | ||||
\(449\) | 9869.65 | + | 12376.1i | 1.03737 | + | 1.30082i | 0.952538 | + | 0.304421i | \(0.0984628\pi\) |
0.0848286 | + | 0.996396i | \(0.472966\pi\) | |||||||
\(450\) | −7662.33 | − | 7109.61i | −0.802680 | − | 0.744778i | ||||
\(451\) | 7519.36 | + | 1133.36i | 0.785084 | + | 0.118332i | ||||
\(452\) | 14999.0 | − | 13917.0i | 1.56083 | − | 1.44824i | ||||
\(453\) | 8000.93 | − | 5454.94i | 0.829838 | − | 0.565774i | ||||
\(454\) | 3406.00 | + | 14922.7i | 0.352096 | + | 1.54263i | ||||
\(455\) | 2348.38 | + | 8647.33i | 0.241964 | + | 0.890974i | ||||
\(456\) | 5950.98 | − | 26072.9i | 0.611140 | − | 2.67758i | ||||
\(457\) | −4889.55 | − | 12458.4i | −0.500489 | − | 1.27523i | −0.928460 | − | 0.371433i | \(-0.878866\pi\) |
0.427970 | − | 0.903793i | \(-0.359229\pi\) | |||||||
\(458\) | 1540.14 | + | 20551.8i | 0.157131 | + | 2.09677i | ||||
\(459\) | 1821.95 | + | 3155.71i | 0.185275 | + | 0.320906i | ||||
\(460\) | −28951.2 | + | 50144.9i | −2.93447 | + | 5.08265i | ||||
\(461\) | 11067.7 | + | 5329.94i | 1.11817 | + | 0.538481i | 0.899326 | − | 0.437279i | \(-0.144058\pi\) |
0.218842 | + | 0.975760i | \(0.429772\pi\) | |||||||
\(462\) | −427.099 | + | 12548.6i | −0.0430096 | + | 1.26366i | ||||
\(463\) | −4611.91 | + | 2220.98i | −0.462923 | + | 0.222932i | −0.650783 | − | 0.759264i | \(-0.725559\pi\) |
0.187860 | + | 0.982196i | \(0.439845\pi\) | |||||||
\(464\) | 2276.27 | − | 30374.7i | 0.227744 | − | 3.03903i | ||||
\(465\) | −4977.59 | + | 1535.38i | −0.496409 | + | 0.153122i | ||||
\(466\) | −12924.1 | + | 3986.57i | −1.28476 | + | 0.396297i | ||||
\(467\) | 213.380 | − | 2847.36i | 0.0211436 | − | 0.282141i | −0.976603 | − | 0.215049i | \(-0.931009\pi\) |
0.997747 | − | 0.0670922i | \(-0.0213722\pi\) | |||||||
\(468\) | 6511.21 | − | 3135.63i | 0.643122 | − | 0.309711i | ||||
\(469\) | −6145.48 | − | 13956.8i | −0.605057 | − | 1.37412i | ||||
\(470\) | −2366.68 | − | 1139.73i | −0.232270 | − | 0.111855i | ||||
\(471\) | −2437.42 | + | 4221.73i | −0.238451 | + | 0.413009i | ||||
\(472\) | −12075.7 | − | 20915.7i | −1.17760 | − | 2.03967i | ||||
\(473\) | 359.741 | + | 4800.41i | 0.0349702 | + | 0.466645i | ||||
\(474\) | 6778.16 | + | 17270.5i | 0.656817 | + | 1.67354i | ||||
\(475\) | 2355.27 | − | 10319.1i | 0.227510 | − | 0.996788i | ||||
\(476\) | 8769.41 | − | 11966.5i | 0.844423 | − | 1.15228i | ||||
\(477\) | −52.0682 | − | 228.126i | −0.00499798 | − | 0.0218976i | ||||
\(478\) | 1014.76 | − | 691.855i | 0.0971010 | − | 0.0662023i | ||||
\(479\) | −11375.9 | + | 10555.3i | −1.08513 | + | 1.00685i | −0.0851836 | + | 0.996365i | \(0.527148\pi\) |
−0.999945 | + | 0.0104869i | \(0.996662\pi\) | |||||||
\(480\) | −43398.3 | − | 6541.23i | −4.12677 | − | 0.622011i | ||||
\(481\) | −6380.59 | − | 5920.33i | −0.604844 | − | 0.561213i | ||||
\(482\) | 8030.76 | + | 10070.3i | 0.758903 | + | 0.951634i | ||||
\(483\) | 17091.7 | + | 10659.1i | 1.61014 | + | 1.00415i | ||||
\(484\) | −11380.8 | + | 14271.1i | −1.06882 | + | 1.34026i | ||||
\(485\) | 8644.49 | − | 1302.95i | 0.809332 | − | 0.121987i | ||||
\(486\) | −14319.7 | − | 9763.03i | −1.33654 | − | 0.911235i | ||||
\(487\) | 1138.96 | − | 2902.02i | 0.105978 | − | 0.270027i | −0.868042 | − | 0.496491i | \(-0.834621\pi\) |
0.974019 | + | 0.226464i | \(0.0727167\pi\) | |||||||
\(488\) | 2429.21 | + | 749.314i | 0.225339 | + | 0.0695078i | ||||
\(489\) | 22866.3 | 2.11462 | ||||||||
\(490\) | −28423.9 | − | 10934.6i | −2.62053 | − | 1.00811i | ||||
\(491\) | 15876.2 | 1.45923 | 0.729617 | − | 0.683856i | \(-0.239698\pi\) | ||||
0.729617 | + | 0.683856i | \(0.239698\pi\) | |||||||
\(492\) | 44717.1 | + | 13793.4i | 4.09757 | + | 1.26393i | ||||
\(493\) | 2567.99 | − | 6543.14i | 0.234597 | − | 0.597744i | ||||
\(494\) | 8472.32 | + | 5776.33i | 0.771635 | + | 0.526092i | ||||
\(495\) | 4260.68 | − | 642.194i | 0.386876 | − | 0.0583121i | ||||
\(496\) | −5350.00 | + | 6708.69i | −0.484319 | + | 0.607317i | ||||
\(497\) | −5019.46 | + | 1775.44i | −0.453025 | + | 0.160240i | ||||
\(498\) | −6478.31 | − | 8123.55i | −0.582932 | − | 0.730974i | ||||
\(499\) | −12533.8 | − | 11629.7i | −1.12443 | − | 1.04332i | −0.998686 | − | 0.0512553i | \(-0.983678\pi\) |
−0.125744 | − | 0.992063i | \(-0.540132\pi\) | |||||||
\(500\) | −10650.1 | − | 1605.24i | −0.952573 | − | 0.143577i | ||||
\(501\) | 7910.34 | − | 7339.72i | 0.705405 | − | 0.654520i | ||||
\(502\) | 32921.0 | − | 22445.2i | 2.92696 | − | 1.99557i | ||||
\(503\) | 2726.17 | + | 11944.1i | 0.241658 | + | 1.05877i | 0.939507 | + | 0.342528i | \(0.111283\pi\) |
−0.697849 | + | 0.716244i | \(0.745860\pi\) | |||||||
\(504\) | −2685.55 | + | 14460.7i | −0.237349 | + | 1.27804i | ||||
\(505\) | −768.306 | + | 3366.17i | −0.0677013 | + | 0.296619i | ||||
\(506\) | −6805.62 | − | 17340.4i | −0.597918 | − | 1.52347i | ||||
\(507\) | −642.888 | − | 8578.74i | −0.0563149 | − | 0.751470i | ||||
\(508\) | 14919.3 | + | 25840.9i | 1.30302 | + | 2.25690i | ||||
\(509\) | −5475.44 | + | 9483.75i | −0.476807 | + | 0.825854i | −0.999647 | − | 0.0265769i | \(-0.991539\pi\) |
0.522840 | + | 0.852431i | \(0.324873\pi\) | |||||||
\(510\) | −20218.9 | − | 9736.91i | −1.75551 | − | 0.845407i | ||||
\(511\) | −3763.29 | + | 725.227i | −0.325789 | + | 0.0627831i | ||||
\(512\) | 14056.4 | − | 6769.22i | 1.21331 | − | 0.584297i | ||||
\(513\) | 456.527 | − | 6091.93i | 0.0392908 | − | 0.524299i | ||||
\(514\) | −40970.6 | + | 12637.8i | −3.51583 | + | 1.08449i | ||||
\(515\) | 24071.3 | − | 7425.02i | 2.05963 | − | 0.635311i | ||||
\(516\) | −2213.82 | + | 29541.3i | −0.188872 | + | 2.52032i | ||||
\(517\) | 543.391 | − | 261.683i | 0.0462250 | − | 0.0222608i | ||||
\(518\) | 29048.7 | − | 5598.00i | 2.46395 | − | 0.474830i | ||||
\(519\) | 326.235 | + | 157.107i | 0.0275918 | + | 0.0132875i | ||||
\(520\) | 15267.9 | − | 26444.8i | 1.28758 | − | 2.23016i | ||||
\(521\) | −3840.86 | − | 6652.56i | −0.322977 | − | 0.559413i | 0.658124 | − | 0.752910i | \(-0.271350\pi\) |
−0.981101 | + | 0.193497i | \(0.938017\pi\) | |||||||
\(522\) | 869.664 | + | 11604.9i | 0.0729199 | + | 0.973048i | ||||
\(523\) | −7638.09 | − | 19461.5i | −0.638605 | − | 1.62714i | −0.771664 | − | 0.636030i | \(-0.780575\pi\) |
0.133059 | − | 0.991108i | \(-0.457520\pi\) | |||||||
\(524\) | 6509.73 | − | 28521.0i | 0.542708 | − | 2.37776i | ||||
\(525\) | −3343.59 | + | 18004.0i | −0.277955 | + | 1.49668i | ||||
\(526\) | 4448.89 | + | 19491.9i | 0.368785 | + | 1.61575i | ||||
\(527\) | −1636.05 | + | 1115.44i | −0.135233 | + | 0.0922001i | ||||
\(528\) | 16367.7 | − | 15187.0i | 1.34908 | − | 1.25176i | ||||
\(529\) | −17519.8 | − | 2640.68i | −1.43994 | − | 0.217036i | ||||
\(530\) | −1210.36 | − | 1123.05i | −0.0991971 | − | 0.0920415i | ||||
\(531\) | 3002.14 | + | 3764.56i | 0.245351 | + | 0.307661i | ||||
\(532\) | −23448.6 | + | 8294.03i | −1.91095 | + | 0.675924i | ||||
\(533\) | −6698.85 | + | 8400.09i | −0.544389 | + | 0.682642i | ||||
\(534\) | −18774.7 | + | 2829.83i | −1.52146 | + | 0.229323i | ||||
\(535\) | 12647.0 | + | 8622.56i | 1.02201 | + | 0.696795i | ||||
\(536\) | −18986.3 | + | 48376.4i | −1.53001 | + | 3.89840i | ||||
\(537\) | −25373.4 | − | 7826.67i | −2.03900 | − | 0.628949i | ||||
\(538\) | 23679.1 | 1.89754 | ||||||||
\(539\) | 6031.82 | − | 3537.01i | 0.482020 | − | 0.282653i | ||||
\(540\) | −30381.1 | −2.42110 | ||||||||
\(541\) | 9377.45 | + | 2892.56i | 0.745227 | + | 0.229872i | 0.644036 | − | 0.764995i | \(-0.277259\pi\) |
0.101191 | + | 0.994867i | \(0.467735\pi\) | |||||||
\(542\) | 951.701 | − | 2424.90i | 0.0754226 | − | 0.192174i | ||||
\(543\) | −21748.2 | − | 14827.7i | −1.71879 | − | 1.17185i | ||||
\(544\) | −16497.1 | + | 2486.55i | −1.30020 | + | 0.195974i | ||||
\(545\) | −15326.2 | + | 19218.5i | −1.20459 | + | 1.51051i | ||||
\(546\) | −15052.8 | − | 9387.55i | −1.17986 | − | 0.735806i | ||||
\(547\) | 881.325 | + | 1105.15i | 0.0688898 | + | 0.0863851i | 0.815082 | − | 0.579345i | \(-0.196692\pi\) |
−0.746193 | + | 0.665730i | \(0.768120\pi\) | |||||||
\(548\) | −3267.57 | − | 3031.86i | −0.254714 | − | 0.236340i | ||||
\(549\) | −501.168 | − | 75.5389i | −0.0389605 | − | 0.00587235i | ||||
\(550\) | 12413.9 | − | 11518.5i | 0.962423 | − | 0.892998i | ||||
\(551\) | −9736.57 | + | 6638.28i | −0.752798 | + | 0.513249i | ||||
\(552\) | −15274.7 | − | 66922.7i | −1.17778 | − | 5.16018i | ||||
\(553\) | 6107.35 | − | 8333.93i | 0.469640 | − | 0.640858i | ||||
\(554\) | 1628.77 | − | 7136.09i | 0.124909 | − | 0.547263i | ||||
\(555\) | −11667.6 | − | 29728.5i | −0.892363 | − | 2.27370i | ||||
\(556\) | −1399.05 | − | 18669.1i | −0.106714 | − | 1.42400i | ||||
\(557\) | −4139.98 | − | 7170.66i | −0.314931 | − | 0.545477i | 0.664492 | − | 0.747296i | \(-0.268648\pi\) |
−0.979423 | + | 0.201819i | \(0.935315\pi\) | |||||||
\(558\) | 1639.17 | − | 2839.12i | 0.124357 | − | 0.215393i | ||||
\(559\) | −6127.96 | − | 2951.07i | −0.463659 | − | 0.223286i | ||||
\(560\) | 21824.7 | + | 49565.4i | 1.64690 | + | 3.74021i | ||||
\(561\) | 4642.26 | − | 2235.60i | 0.349370 | − | 0.168248i | ||||
\(562\) | −505.613 | + | 6746.94i | −0.0379502 | + | 0.506410i | ||||
\(563\) | 19125.6 | − | 5899.46i | 1.43170 | − | 0.441621i | 0.520599 | − | 0.853801i | \(-0.325709\pi\) |
0.911102 | + | 0.412180i | \(0.135233\pi\) | |||||||
\(564\) | 3546.64 | − | 1093.99i | 0.264788 | − | 0.0816764i | ||||
\(565\) | −1288.07 | + | 17188.1i | −0.0959108 | + | 1.27984i | ||||
\(566\) | −21323.0 | + | 10268.6i | −1.58352 | + | 0.762584i | ||||
\(567\) | −573.543 | + | 16851.3i | −0.0424807 | + | 1.24812i | ||||
\(568\) | 16347.1 | + | 7872.34i | 1.20759 | + | 0.581543i | ||||
\(569\) | −7337.24 | + | 12708.5i | −0.540586 | + | 0.936322i | 0.458285 | + | 0.888805i | \(0.348464\pi\) |
−0.998870 | + | 0.0475165i | \(0.984869\pi\) | |||||||
\(570\) | 18811.5 | + | 32582.4i | 1.38233 | + | 2.39426i | ||||
\(571\) | 1041.79 | + | 13901.7i | 0.0763528 | + | 1.01886i | 0.895438 | + | 0.445186i | \(0.146862\pi\) |
−0.819086 | + | 0.573671i | \(0.805519\pi\) | |||||||
\(572\) | 4277.59 | + | 10899.1i | 0.312684 | + | 0.796705i | ||||
\(573\) | 1209.82 | − | 5300.58i | 0.0882043 | − | 0.386448i | ||||
\(574\) | −9570.25 | − | 35240.1i | −0.695914 | − | 2.56254i | ||||
\(575\) | −6045.40 | − | 26486.6i | −0.438454 | − | 1.92099i | ||||
\(576\) | 8342.77 | − | 5688.00i | 0.603499 | − | 0.411459i | ||||
\(577\) | −11236.0 | + | 10425.5i | −0.810677 | + | 0.752198i | −0.972070 | − | 0.234692i | \(-0.924592\pi\) |
0.161393 | + | 0.986890i | \(0.448401\pi\) | |||||||
\(578\) | 17243.9 | + | 2599.10i | 1.24092 | + | 0.187038i | ||||
\(579\) | 6168.24 | + | 5723.29i | 0.442734 | + | 0.410798i | ||||
\(580\) | 36539.4 | + | 45819.0i | 2.61589 | + | 3.28022i | ||||
\(581\) | −1892.68 | + | 5468.15i | −0.135149 | + | 0.390460i | ||||
\(582\) | −10791.2 | + | 13531.8i | −0.768574 | + | 0.963762i | ||||
\(583\) | 374.863 | − | 56.5015i | 0.0266299 | − | 0.00401381i | ||||
\(584\) | 10791.2 | + | 7357.28i | 0.764625 | + | 0.521313i | ||||
\(585\) | −2224.17 | + | 5667.08i | −0.157193 | + | 0.400521i | ||||
\(586\) | 49466.4 | + | 15258.4i | 3.48709 | + | 1.07563i | ||||
\(587\) | −5200.39 | −0.365661 | −0.182831 | − | 0.983144i | \(-0.558526\pi\) | ||||
−0.182831 | + | 0.983144i | \(0.558526\pi\) | |||||||
\(588\) | 39948.8 | − | 15991.0i | 2.80181 | − | 1.12153i | ||||
\(589\) | 3319.69 | 0.232233 | ||||||||
\(590\) | 32467.0 | + | 10014.7i | 2.26550 | + | 0.698813i | ||||
\(591\) | −10968.9 | + | 27948.3i | −0.763451 | + | 1.94524i | ||||
\(592\) | −43466.8 | − | 29635.1i | −3.01769 | − | 2.05743i | ||||
\(593\) | −14088.5 | + | 2123.51i | −0.975627 | + | 0.147052i | −0.617457 | − | 0.786604i | \(-0.711837\pi\) |
−0.358170 | + | 0.933656i | \(0.616599\pi\) | |||||||
\(594\) | 6094.04 | − | 7641.68i | 0.420945 | − | 0.527848i | ||||
\(595\) | 1441.22 | + | 12414.2i | 0.0993015 | + | 0.855350i | ||||
\(596\) | −17852.9 | − | 22386.8i | −1.22699 | − | 1.53859i | ||||
\(597\) | −971.536 | − | 901.454i | −0.0666036 | − | 0.0617991i | ||||
\(598\) | 26025.7 | + | 3922.75i | 1.77972 | + | 0.268249i | ||||
\(599\) | 7636.06 | − | 7085.23i | 0.520870 | − | 0.483296i | −0.375365 | − | 0.926877i | \(-0.622483\pi\) |
0.896234 | + | 0.443581i | \(0.146292\pi\) | |||||||
\(600\) | 51560.0 | − | 35153.0i | 3.50821 | − | 2.39186i | ||||
\(601\) | −4018.29 | − | 17605.3i | −0.272728 | − | 1.19490i | −0.906778 | − | 0.421608i | \(-0.861466\pi\) |
0.634050 | − | 0.773292i | \(-0.281391\pi\) | |||||||
\(602\) | 20401.2 | − | 10870.7i | 1.38121 | − | 0.735972i | ||||
\(603\) | 2305.54 | − | 10101.2i | 0.155703 | − | 0.682178i | ||||
\(604\) | 11212.6 | + | 28569.3i | 0.755356 | + | 1.92462i | ||||
\(605\) | −1149.10 | − | 15333.7i | −0.0772190 | − | 1.03042i | ||||
\(606\) | −3417.88 | − | 5919.94i | −0.229112 | − | 0.396834i | ||||
\(607\) | 11449.6 | − | 19831.3i | 0.765611 | − | 1.32608i | −0.174312 | − | 0.984690i | \(-0.555770\pi\) |
0.939923 | − | 0.341386i | \(-0.110896\pi\) | |||||||
\(608\) | 25200.1 | + | 12135.7i | 1.68092 | + | 0.809488i | ||||
\(609\) | 16362.6 | − | 12161.8i | 1.08875 | − | 0.809227i | ||||
\(610\) | −3222.16 | + | 1551.71i | −0.213871 | + | 0.102995i | ||||
\(611\) | −63.6810 | + | 849.764i | −0.00421646 | + | 0.0562647i | ||||
\(612\) | 9631.82 | − | 2971.02i | 0.636182 | − | 0.196236i | ||||
\(613\) | 10080.5 | − | 3109.42i | 0.664187 | − | 0.204875i | 0.0557111 | − | 0.998447i | \(-0.482257\pi\) |
0.608476 | + | 0.793572i | \(0.291781\pi\) | |||||||
\(614\) | 3882.64 | − | 51810.2i | 0.255196 | − | 3.40536i | ||||
\(615\) | −35517.0 | + | 17104.1i | −2.32876 | + | 1.12147i | ||||
\(616\) | −23037.5 | − | 6089.55i | −1.50683 | − | 0.398304i | ||||
\(617\) | 6775.97 | + | 3263.14i | 0.442124 | + | 0.212916i | 0.641683 | − | 0.766970i | \(-0.278237\pi\) |
−0.199559 | + | 0.979886i | \(0.563951\pi\) | |||||||
\(618\) | −24936.2 | + | 43190.7i | −1.62311 | + | 2.81130i | ||||
\(619\) | −4155.67 | − | 7197.84i | −0.269839 | − | 0.467376i | 0.698981 | − | 0.715140i | \(-0.253637\pi\) |
−0.968820 | + | 0.247765i | \(0.920304\pi\) | |||||||
\(620\) | −1233.74 | − | 16463.2i | −0.0799166 | − | 1.06641i | ||||
\(621\) | −5728.67 | − | 14596.4i | −0.370183 | − | 0.943210i | ||||
\(622\) | −2814.32 | + | 12330.3i | −0.181421 | + | 0.794857i | ||||
\(623\) | 6924.16 | + | 7991.27i | 0.445282 | + | 0.513906i | ||||
\(624\) | 7019.96 | + | 30756.5i | 0.450358 | + | 1.97315i | ||||
\(625\) | −8734.61 | + | 5955.16i | −0.559015 | + | 0.381130i | ||||
\(626\) | −12642.9 | + | 11730.9i | −0.807205 | + | 0.748977i | ||||
\(627\) | −8541.75 | − | 1287.46i | −0.544059 | − | 0.0820036i | ||||
\(628\) | −11325.8 | − | 10508.8i | −0.719663 | − | 0.667750i | ||||
\(629\) | −7569.17 | − | 9491.44i | −0.479813 | − | 0.601667i | ||||
\(630\) | −11067.5 | − | 17482.5i | −0.699907 | − | 1.10559i | ||||
\(631\) | 7261.60 | − | 9105.76i | 0.458130 | − | 0.574476i | −0.498090 | − | 0.867125i | \(-0.665965\pi\) |
0.956220 | + | 0.292649i | \(0.0945367\pi\) | |||||||
\(632\) | −34816.9 | + | 5247.80i | −2.19136 | + | 0.330295i | ||||
\(633\) | 21199.1 | + | 14453.3i | 1.33110 | + | 0.907530i | ||||
\(634\) | 5108.47 | − | 13016.2i | 0.320005 | − | 0.815359i | ||||
\(635\) | −24019.2 | − | 7408.94i | −1.50106 | − | 0.463015i | ||||
\(636\) | 2332.93 | 0.145451 | ||||||||
\(637\) | 66.7344 | + | 9879.31i | 0.00415089 | + | 0.614494i | ||||
\(638\) | −18854.1 | −1.16997 | ||||||||
\(639\) | −3456.63 | − | 1066.23i | −0.213994 | − | 0.0660085i | ||||
\(640\) | 5641.86 | − | 14375.2i | 0.348460 | − | 0.887861i | ||||
\(641\) | −12296.0 | − | 8383.27i | −0.757664 | − | 0.516566i | 0.121787 | − | 0.992556i | \(-0.461138\pi\) |
−0.879451 | + | 0.475990i | \(0.842090\pi\) | |||||||
\(642\) | −29965.8 | + | 4516.62i | −1.84215 | + | 0.277659i | ||||
\(643\) | 7870.87 | − | 9869.76i | 0.482732 | − | 0.605327i | −0.479505 | − | 0.877539i | \(-0.659184\pi\) |
0.962237 | + | 0.272212i | \(0.0877552\pi\) | |||||||
\(644\) | −44989.6 | + | 45294.5i | −2.75286 | + | 2.77151i | ||||
\(645\) | −15559.4 | − | 19510.8i | −0.949844 | − | 1.19107i | ||||
\(646\) | 10483.9 | + | 9727.67i | 0.638521 | + | 0.592461i | ||||
\(647\) | 972.570 | + | 146.591i | 0.0590968 | + | 0.00890742i | 0.178524 | − | 0.983936i | \(-0.442868\pi\) |
−0.119427 | + | 0.992843i | \(0.538106\pi\) | |||||||
\(648\) | 42120.6 | − | 39082.2i | 2.55348 | − | 2.36928i | ||||
\(649\) | −6445.48 | + | 4394.46i | −0.389842 | + | 0.265790i | ||||
\(650\) | 5324.24 | + | 23327.0i | 0.321283 | + | 1.40763i | ||||
\(651\) | −5738.48 | + | 234.130i | −0.345482 | + | 0.0140956i | ||||
\(652\) | −16126.5 | + | 70654.9i | −0.968656 | + | 4.24396i | ||||
\(653\) | −8963.55 | − | 22838.8i | −0.537168 | − | 1.36868i | −0.899617 | − | 0.436679i | \(-0.856155\pi\) |
0.362449 | − | 0.932004i | \(-0.381941\pi\) | |||||||
\(654\) | −3636.85 | − | 48530.4i | −0.217450 | − | 2.90166i | ||||
\(655\) | 12321.9 | + | 21342.2i | 0.735050 | + | 1.27314i | ||||
\(656\) | −32468.8 | + | 56237.6i | −1.93246 | + | 3.34712i | ||||
\(657\) | −2346.02 | − | 1129.78i | −0.139310 | − | 0.0670883i | ||||
\(658\) | −2201.63 | − | 1881.75i | −0.130438 | − | 0.111487i | ||||
\(659\) | 14481.9 | − | 6974.12i | 0.856047 | − | 0.412251i | 0.0462285 | − | 0.998931i | \(-0.485280\pi\) |
0.809819 | + | 0.586680i | \(0.199565\pi\) | |||||||
\(660\) | −3210.35 | + | 42839.2i | −0.189337 | + | 2.52653i | ||||
\(661\) | 15088.5 | − | 4654.17i | 0.887856 | − | 0.273867i | 0.182911 | − | 0.983129i | \(-0.441448\pi\) |
0.704945 | + | 0.709262i | \(0.250972\pi\) | |||||||
\(662\) | 2943.15 | − | 907.841i | 0.172793 | − | 0.0532995i | ||||
\(663\) | −544.035 | + | 7259.64i | −0.0318681 | + | 0.425251i | ||||
\(664\) | 17766.3 | − | 8555.81i | 1.03835 | − | 0.500045i | ||||
\(665\) | 9727.74 | − | 18557.2i | 0.567256 | − | 1.08213i | ||||
\(666\) | 18108.8 | + | 8720.74i | 1.05361 | + | 0.507390i | ||||
\(667\) | −15123.6 | + | 26194.8i | −0.877941 | + | 1.52064i | ||||
\(668\) | 17100.3 | + | 29618.6i | 0.990466 | + | 1.71554i | ||||
\(669\) | −558.277 | − | 7449.69i | −0.0322634 | − | 0.430526i | ||||
\(670\) | −26710.2 | − | 68056.4i | −1.54015 | − | 3.92425i | ||||
\(671\) | 182.718 | − | 800.539i | 0.0105123 | − | 0.0460573i | ||||
\(672\) | −44417.3 | − | 19200.7i | −2.54975 | − | 1.10221i | ||||
\(673\) | 1610.34 | + | 7055.34i | 0.0922346 | + | 0.404106i | 0.999878 | − | 0.0156365i | \(-0.00497746\pi\) |
−0.907643 | + | 0.419743i | \(0.862120\pi\) | |||||||
\(674\) | 6287.19 | − | 4286.53i | 0.359308 | − | 0.244972i | ||||
\(675\) | 10449.5 | − | 9695.73i | 0.595855 | − | 0.552872i | ||||
\(676\) | 26961.0 | + | 4063.71i | 1.53397 | + | 0.231208i | ||||
\(677\) | 9267.32 | + | 8598.82i | 0.526104 | + | 0.488153i | 0.897923 | − | 0.440152i | \(-0.145075\pi\) |
−0.371820 | + | 0.928305i | \(0.621266\pi\) | |||||||
\(678\) | −21276.4 | − | 26679.7i | −1.20518 | − | 1.51125i | ||||
\(679\) | 9581.72 | + | 1046.84i | 0.541550 | + | 0.0591665i | ||||
\(680\) | 26554.1 | − | 33297.8i | 1.49751 | − | 1.87781i | ||||
\(681\) | 18015.1 | − | 2715.34i | 1.01371 | − | 0.152793i | ||||
\(682\) | 4388.41 | + | 2991.97i | 0.246394 | + | 0.167989i | ||||
\(683\) | −2754.98 | + | 7019.58i | −0.154343 | + | 0.393260i | −0.987041 | − | 0.160467i | \(-0.948700\pi\) |
0.832698 | + | 0.553728i | \(0.186795\pi\) | |||||||
\(684\) | −16147.8 | − | 4980.94i | −0.902671 | − | 0.278437i | ||||
\(685\) | 3754.97 | 0.209445 | ||||||||
\(686\) | −27217.5 | − | 19664.6i | −1.51482 | − | 1.09446i | ||||
\(687\) | 24530.4 | 1.36229 | ||||||||
\(688\) | −39282.2 | − | 12116.9i | −2.17677 | − | 0.671445i | ||||
\(689\) | −195.686 | + | 498.601i | −0.0108201 | + | 0.0275692i | ||||
\(690\) | 79788.9 | + | 54399.1i | 4.40219 | + | 3.00136i | ||||
\(691\) | 19673.9 | − | 2965.36i | 1.08311 | − | 0.163253i | 0.416853 | − | 0.908974i | \(-0.363133\pi\) |
0.666258 | + | 0.745721i | \(0.267895\pi\) | |||||||
\(692\) | −715.524 | + | 897.239i | −0.0393066 | + | 0.0492889i | ||||
\(693\) | 4722.62 | + | 515.965i | 0.258871 | + | 0.0282827i | ||||
\(694\) | −18051.1 | − | 22635.3i | −0.987334 | − | 1.23808i | ||||
\(695\) | 11560.9 | + | 10726.9i | 0.630976 | + | 0.585460i | ||||
\(696\) | −68700.4 | − | 10354.9i | −3.74150 | − | 0.563940i | ||||
\(697\) | −10985.0 | + | 10192.5i | −0.596965 | + | 0.553903i | ||||
\(698\) | −43391.1 | + | 29583.5i | −2.35297 | + | 1.60423i | ||||
\(699\) | 3582.19 | + | 15694.6i | 0.193835 | + | 0.849248i | ||||
\(700\) | −53272.6 | − | 23028.8i | −2.87645 | − | 1.24344i | ||||
\(701\) | 4519.26 | − | 19800.2i | 0.243495 | − | 1.06682i | −0.694314 | − | 0.719672i | \(-0.744292\pi\) |
0.937809 | − | 0.347151i | \(-0.112851\pi\) | |||||||
\(702\) | 5045.29 | + | 12855.2i | 0.271257 | + | 0.691150i | ||||
\(703\) | 1520.97 | + | 20295.9i | 0.0815994 | + | 1.08887i | ||||
\(704\) | 8179.44 | + | 14167.2i | 0.437889 | + | 0.758447i | ||||
\(705\) | −1563.29 | + | 2707.70i | −0.0835135 | + | 0.144650i | ||||
\(706\) | −29853.4 | − | 14376.7i | −1.59143 | − | 0.766392i | ||||
\(707\) | −1767.44 | + | 3371.68i | −0.0940192 | + | 0.179357i | ||||
\(708\) | −43252.5 | + | 20829.3i | −2.29594 | + | 1.10567i | ||||
\(709\) | −1631.17 | + | 21766.5i | −0.0864034 | + | 1.15297i | 0.770481 | + | 0.637463i | \(0.220016\pi\) |
−0.856884 | + | 0.515509i | \(0.827603\pi\) | |||||||
\(710\) | −24391.0 | + | 7523.64i | −1.28927 | + | 0.397686i | ||||
\(711\) | 6707.97 | − | 2069.13i | 0.353823 | − | 0.109140i | ||||
\(712\) | 2692.78 | − | 35932.6i | 0.141736 | − | 1.89134i | ||||
\(713\) | 7676.99 | − | 3697.04i | 0.403233 | − | 0.194187i | ||||
\(714\) | −18808.8 | − | 16076.0i | −0.985857 | − | 0.842620i | ||||
\(715\) | −8886.43 | − | 4279.48i | −0.464802 | − | 0.223837i | ||||
\(716\) | 42078.4 | − | 72882.0i | 2.19629 | − | 3.80409i | ||||
\(717\) | −730.920 | − | 1265.99i | −0.0380707 | − | 0.0659404i | ||||
\(718\) | 1972.29 | + | 26318.4i | 0.102514 | + | 1.36796i | ||||
\(719\) | 11524.6 | + | 29364.1i | 0.597766 | + | 1.52308i | 0.834215 | + | 0.551439i | \(0.185921\pi\) |
−0.236450 | + | 0.971644i | \(0.575984\pi\) | |||||||
\(720\) | −8187.76 | + | 35872.9i | −0.423805 | + | 1.85681i | ||||
\(721\) | 27750.9 | − | 1132.24i | 1.43342 | − | 0.0584836i | ||||
\(722\) | 2732.24 | + | 11970.7i | 0.140836 | + | 0.617043i | ||||
\(723\) | 12667.0 | − | 8636.19i | 0.651576 | − | 0.444237i | ||||
\(724\) | 61154.1 | − | 56742.8i | 3.13919 | − | 2.91275i | ||||
\(725\) | −27190.2 | − | 4098.26i | −1.39285 | − | 0.209939i | ||||
\(726\) | 22316.2 | + | 20706.4i | 1.14082 | + | 1.05852i | ||||
\(727\) | 12829.5 | + | 16087.7i | 0.654499 | + | 0.820716i | 0.992732 | − | 0.120346i | \(-0.0384005\pi\) |
−0.338233 | + | 0.941062i | \(0.609829\pi\) | |||||||
\(728\) | 23726.1 | − | 23886.9i | 1.20789 | − | 1.21608i | ||||
\(729\) | 2464.32 | − | 3090.16i | 0.125201 | − | 0.156997i | ||||
\(730\) | −18168.5 | + | 2738.47i | −0.921161 | + | 0.138843i | ||||
\(731\) | −7837.99 | − | 5343.85i | −0.396578 | − | 0.270382i | ||||
\(732\) | 1846.12 | − | 4703.83i | 0.0932165 | − | 0.237512i | ||||
\(733\) | −12297.2 | − | 3793.17i | −0.619654 | − | 0.191138i | −0.0309950 | − | 0.999520i | \(-0.509868\pi\) |
−0.588659 | + | 0.808382i | \(0.700344\pi\) | |||||||
\(734\) | −22227.4 | −1.11775 | ||||||||
\(735\) | −15506.8 | + | 32764.5i | −0.778198 | + | 1.64427i | ||||
\(736\) | 71792.0 | 3.59550 | ||||||||
\(737\) | 16040.4 | + | 4947.79i | 0.801701 | + | 0.247292i | ||||
\(738\) | 9064.06 | − | 23094.9i | 0.452104 | − | 1.15194i | ||||
\(739\) | 23949.7 | + | 16328.6i | 1.19216 | + | 0.812798i | 0.986167 | − | 0.165757i | \(-0.0530066\pi\) |
0.205989 | + | 0.978554i | \(0.433959\pi\) | |||||||
\(740\) | 100087. | − | 15085.7i | 4.97199 | − | 0.749408i | ||||
\(741\) | 7609.67 | − | 9542.23i | 0.377258 | − | 0.473067i | ||||
\(742\) | −973.743 | − | 1538.15i | −0.0481769 | − | 0.0761013i | ||||
\(743\) | 8780.32 | + | 11010.2i | 0.433538 | + | 0.543639i | 0.949827 | − | 0.312775i | \(-0.101259\pi\) |
−0.516289 | + | 0.856414i | \(0.672687\pi\) | |||||||
\(744\) | 14347.2 | + | 13312.3i | 0.706983 | + | 0.655985i | ||||
\(745\) | 23851.6 | + | 3595.06i | 1.17296 | + | 0.176796i | ||||
\(746\) | −31594.7 | + | 29315.6i | −1.55062 | + | 1.43876i | ||||
\(747\) | −3248.27 | + | 2214.63i | −0.159100 | + | 0.108473i | ||||
\(748\) | 3633.83 | + | 15920.8i | 0.177628 | + | 0.778240i | ||||
\(749\) | 11051.5 | + | 12754.7i | 0.539136 | + | 0.622224i | ||||
\(750\) | −3997.08 | + | 17512.3i | −0.194603 | + | 0.852613i | ||||
\(751\) | −9130.55 | − | 23264.3i | −0.443647 | − | 1.13039i | −0.961471 | − | 0.274906i | \(-0.911353\pi\) |
0.517824 | − | 0.855487i | \(-0.326742\pi\) | |||||||
\(752\) | 384.889 | + | 5135.98i | 0.0186642 | + | 0.249056i | ||||
\(753\) | −23712.5 | − | 41071.3i | −1.14759 | − | 1.98768i | ||||
\(754\) | 13319.5 | − | 23070.0i | 0.643324 | − | 1.11427i | ||||
\(755\) | −23293.5 | − | 11217.6i | −1.12283 | − | 0.540727i | ||||
\(756\) | −32384.7 | − | 8560.33i | −1.55796 | − | 0.411820i | ||||
\(757\) | 1749.85 | − | 842.682i | 0.0840149 | − | 0.0404595i | −0.391404 | − | 0.920219i | \(-0.628011\pi\) |
0.475419 | + | 0.879759i | \(0.342296\pi\) | |||||||
\(758\) | 2578.44 | − | 34406.8i | 0.123553 | − | 1.64870i | ||||
\(759\) | −21187.2 | + | 6535.37i | −1.01323 | + | 0.312541i | ||||
\(760\) | −68229.4 | + | 21046.0i | −3.25650 | + | 1.00450i | ||||
\(761\) | 402.080 | − | 5365.39i | 0.0191530 | − | 0.255579i | −0.979405 | − | 0.201903i | \(-0.935287\pi\) |
0.998558 | − | 0.0536753i | \(-0.0170936\pi\) | |||||||
\(762\) | 44836.1 | − | 21591.9i | 2.13155 | − | 1.02650i | ||||
\(763\) | −21752.1 | + | 16167.6i | −1.03208 | + | 0.767110i | ||||
\(764\) | 15525.1 | + | 7476.50i | 0.735181 | + | 0.354045i | ||||
\(765\) | −4245.53 | + | 7353.47i | −0.200650 | + | 0.347536i | ||||
\(766\) | 19763.8 | + | 34232.0i | 0.932241 | + | 1.61469i | ||||
\(767\) | −823.677 | − | 10991.2i | −0.0387761 | − | 0.517431i | ||||
\(768\) | −3586.06 | − | 9137.13i | −0.168491 | − | 0.429307i | ||||
\(769\) | −451.403 | + | 1977.73i | −0.0211678 | + | 0.0927421i | −0.984408 | − | 0.175898i | \(-0.943717\pi\) |
0.963241 | + | 0.268640i | \(0.0865742\pi\) | |||||||
\(770\) | 29584.7 | − | 15764.0i | 1.38462 | − | 0.737787i | ||||
\(771\) | 11355.8 | + | 49753.2i | 0.530442 | + | 2.32402i | ||||
\(772\) | −22034.6 | + | 15023.0i | −1.02726 | + | 0.700373i | ||||
\(773\) | −11030.0 | + | 10234.3i | −0.513221 | + | 0.476200i | −0.893747 | − | 0.448570i | \(-0.851933\pi\) |
0.380526 | + | 0.924770i | \(0.375743\pi\) | |||||||
\(774\) | 15530.4 | + | 2340.83i | 0.721225 | + | 0.108707i | ||||
\(775\) | 5678.35 | + | 5268.74i | 0.263190 | + | 0.244205i | ||||
\(776\) | −20479.8 | − | 25680.8i | −0.947398 | − | 1.18800i | ||||
\(777\) | −4060.60 | − | 34976.6i | −0.187481 | − | 1.61490i | ||||
\(778\) | 25006.9 | − | 31357.7i | 1.15237 | − | 1.44502i | ||||
\(779\) | 24842.2 | − | 3744.37i | 1.14257 | − | 0.172215i | ||||
\(780\) | −50150.4 | − | 34192.0i | −2.30214 | − | 1.56957i | ||||
\(781\) | 2141.10 | − | 5455.43i | 0.0980980 | − | 0.249950i | ||||
\(782\) | 35078.2 | + | 10820.2i | 1.60408 | + | 0.494794i | ||||
\(783\) | −15870.5 | −0.724350 | ||||||||
\(784\) | 9298.25 | + | 58983.6i | 0.423572 | + | 2.68694i | ||||
\(785\) | 13015.2 | 0.591761 | ||||||||
\(786\) | −46622.6 | − | 14381.2i | −2.11574 | − | 0.652620i | ||||
\(787\) | −4171.51 | + | 10628.8i | −0.188943 | + | 0.481419i | −0.993685 | − | 0.112206i | \(-0.964208\pi\) |
0.804742 | + | 0.593625i | \(0.202304\pi\) | |||||||
\(788\) | −78621.9 | − | 53603.5i | −3.55430 | − | 2.42328i | ||||
\(789\) | 23531.1 | − | 3546.75i | 1.06176 | − | 0.160035i | ||||
\(790\) | 30884.0 | − | 38727.3i | 1.39089 | − | 1.74412i | ||||
\(791\) | −6216.03 | + | 17958.7i | −0.279414 | + | 0.807256i | ||||
\(792\) | −10094.0 | − | 12657.5i | −0.452874 | − | 0.567886i | ||||
\(793\) | 850.465 | + | 789.116i | 0.0380843 | + | 0.0353371i | ||||
\(794\) | −960.274 | − | 144.738i | −0.0429205 | − | 0.00646922i | ||||
\(795\) | −1440.63 | + | 1336.71i | −0.0642691 | + | 0.0596330i | ||||
\(796\) | 3470.59 | − | 2366.21i | 0.154538 | − | 0.105362i | ||||
\(797\) | 6977.47 | + | 30570.3i | 0.310106 | + | 1.35866i | 0.854333 | + | 0.519726i | \(0.173966\pi\) |
−0.544227 | + | 0.838938i | \(0.683177\pi\) | |||||||
\(798\) | 10871.5 | + | 40031.7i | 0.482264 | + | 1.77582i | ||||
\(799\) | −264.471 | + | 1158.72i | −0.0117100 | + | 0.0513049i | ||||
\(800\) | 23844.1 | + | 60753.7i | 1.05377 | + | 2.68496i | ||||
\(801\) | 536.858 | + | 7163.88i | 0.0236816 | + | 0.316009i | ||||
\(802\) | 6764.22 | + | 11716.0i | 0.297822 | + | 0.515842i | ||||
\(803\) | 2109.31 | − | 3653.43i | 0.0926972 | − | 0.160556i | ||||
\(804\) | 93070.3 | + | 44820.3i | 4.08251 | + | 1.96603i | ||||
\(805\) | 1829.35 | − | 53748.2i | 0.0800947 | − | 2.35326i | ||||
\(806\) | −6761.19 | + | 3256.02i | −0.295475 | + | 0.142293i | ||||
\(807\) | 2106.20 | − | 28105.3i | 0.0918734 | − | 1.22596i | ||||
\(808\) | 12396.7 | − | 3823.87i | 0.539745 | − | 0.166489i | ||||
\(809\) | 10010.5 | − | 3087.84i | 0.435045 | − | 0.134194i | −0.0694944 | − | 0.997582i | \(-0.522139\pi\) |
0.504539 | + | 0.863389i | \(0.331662\pi\) | |||||||
\(810\) | −6040.75 | + | 80608.2i | −0.262037 | + | 3.49665i | ||||
\(811\) | −19511.9 | + | 9396.43i | −0.844827 | + | 0.406847i | −0.805655 | − | 0.592385i | \(-0.798186\pi\) |
−0.0391724 | + | 0.999232i | \(0.512472\pi\) | |||||||
\(812\) | 26039.0 | + | 59136.3i | 1.12536 | + | 2.55576i | ||||
\(813\) | −2793.52 | − | 1345.29i | −0.120508 | − | 0.0580336i | ||||
\(814\) | −16281.7 | + | 28200.7i | −0.701071 | + | 1.21429i | ||||
\(815\) | −30525.1 | − | 52871.0i | −1.31196 | − | 2.27238i | ||||
\(816\) | 3288.15 | + | 43877.4i | 0.141064 | + | 1.88237i | ||||
\(817\) | 5810.36 | + | 14804.5i | 0.248811 | + | 0.633960i | ||||
\(818\) | −3394.61 | + | 14872.7i | −0.145097 | + | 0.635713i | ||||
\(819\) | −3967.64 | + | 5414.13i | −0.169280 | + | 0.230995i | ||||
\(820\) | −27801.7 | − | 121807.i | −1.18400 | − | 5.18743i | ||||
\(821\) | 11240.4 | − | 7663.55i | 0.477821 | − | 0.325773i | −0.300346 | − | 0.953830i | \(-0.597102\pi\) |
0.778167 | + | 0.628057i | \(0.216150\pi\) | |||||||
\(822\) | −5449.60 | + | 5056.49i | −0.231237 | + | 0.214556i | ||||
\(823\) | −3448.81 | − | 519.825i | −0.146073 | − | 0.0220170i | 0.0755986 | − | 0.997138i | \(-0.475913\pi\) |
−0.221672 | + | 0.975121i | \(0.571151\pi\) | |||||||
\(824\) | −69382.4 | − | 64377.5i | −2.93331 | − | 2.72172i | ||||
\(825\) | −12567.4 | − | 15759.0i | −0.530351 | − | 0.665039i | ||||
\(826\) | 31786.3 | + | 19823.3i | 1.33897 | + | 0.835036i | ||||
\(827\) | −13563.0 | + | 17007.4i | −0.570291 | + | 0.715123i | −0.980423 | − | 0.196904i | \(-0.936911\pi\) |
0.410131 | + | 0.912026i | \(0.365483\pi\) | |||||||
\(828\) | −42890.0 | + | 6464.63i | −1.80016 | + | 0.271330i | ||||
\(829\) | −27715.4 | − | 18896.1i | −1.16115 | − | 0.791661i | −0.179768 | − | 0.983709i | \(-0.557535\pi\) |
−0.981386 | + | 0.192048i | \(0.938487\pi\) | |||||||
\(830\) | −10135.0 | + | 25823.4i | −0.423842 | + | 1.07993i | ||||
\(831\) | −8325.14 | − | 2567.97i | −0.347528 | − | 0.107198i | ||||
\(832\) | −23113.5 | −0.963119 | ||||||||
\(833\) | −1961.62 | + | 13639.0i | −0.0815921 | + | 0.567304i | ||||
\(834\) | −31223.3 | −1.29637 | ||||||||
\(835\) | −27530.5 | − | 8492.04i | −1.14100 | − | 0.351951i | ||||
\(836\) | 10002.2 | − | 25485.3i | 0.413798 | − | 1.05434i | ||||
\(837\) | 3693.97 | + | 2518.51i | 0.152548 | + | 0.104005i | ||||
\(838\) | −86807.3 | + | 13084.1i | −3.57841 | + | 0.539359i | ||||
\(839\) | 6683.51 | − | 8380.85i | 0.275018 | − | 0.344862i | −0.625071 | − | 0.780568i | \(-0.714930\pi\) |
0.900089 | + | 0.435706i | \(0.143501\pi\) | |||||||
\(840\) | 116458. | − | 41192.6i | 4.78357 | − | 1.69200i | ||||
\(841\) | 3881.23 | + | 4866.91i | 0.159138 | + | 0.199553i | ||||
\(842\) | −33965.8 | − | 31515.7i | −1.39019 | − | 1.28991i | ||||
\(843\) | 7963.14 | + | 1200.25i | 0.325344 | + | 0.0490378i | ||||
\(844\) | −59610.1 | + | 55310.1i | −2.43112 | + | 2.25575i | ||||
\(845\) | −18977.4 | + | 12938.5i | −0.772593 | + | 0.526745i | ||||
\(846\) | −437.864 | − | 1918.41i | −0.0177944 | − | 0.0779623i | ||||
\(847\) | 3095.61 | − | 16668.7i | 0.125580 | − | 0.676202i | ||||
\(848\) | −720.374 | + | 3156.17i | −0.0291719 | + | 0.127810i | ||||
\(849\) | 10291.5 | + | 26222.2i | 0.416021 | + | 1.06001i | ||||
\(850\) | 2493.88 | + | 33278.5i | 0.100634 | + | 1.34287i | ||||
\(851\) | 26120.3 | + | 45241.7i | 1.05216 | + | 1.82240i | ||||
\(852\) | 18032.7 | − | 31233.5i | 0.725104 | − | 1.25592i | ||||
\(853\) | 32172.4 | + | 15493.4i | 1.29140 | + | 0.621905i | 0.948294 | − | 0.317392i | \(-0.102807\pi\) |
0.343105 | + | 0.939297i | \(0.388521\pi\) | |||||||
\(854\) | −3871.88 | + | 746.154i | −0.155144 | + | 0.0298980i | ||||
\(855\) | 12825.6 | − | 6176.47i | 0.513012 | − | 0.247053i | ||||
\(856\) | 4297.89 | − | 57351.3i | 0.171611 | − | 2.28998i | ||||
\(857\) | 5738.00 | − | 1769.94i | 0.228712 | − | 0.0705484i | −0.178281 | − | 0.983980i | \(-0.557054\pi\) |
0.406993 | + | 0.913431i | \(0.366577\pi\) | |||||||
\(858\) | 18659.7 | − | 5755.76i | 0.742462 | − | 0.229019i | ||||
\(859\) | −125.332 | + | 1672.44i | −0.00497821 | + | 0.0664296i | −0.999140 | − | 0.0414738i | \(-0.986795\pi\) |
0.994161 | + | 0.107903i | \(0.0344137\pi\) | |||||||
\(860\) | 71260.1 | − | 34317.0i | 2.82552 | − | 1.36070i | ||||
\(861\) | −42678.7 | + | 8224.65i | −1.68930 | + | 0.325546i | ||||
\(862\) | −9202.67 | − | 4431.77i | −0.363624 | − | 0.175112i | ||||
\(863\) | 8964.02 | − | 15526.1i | 0.353579 | − | 0.612417i | −0.633295 | − | 0.773911i | \(-0.718298\pi\) |
0.986874 | + | 0.161494i | \(0.0516312\pi\) | |||||||
\(864\) | 18834.4 | + | 32622.2i | 0.741621 | + | 1.28453i | ||||
\(865\) | −72.2449 | − | 964.041i | −0.00283977 | − | 0.0378941i | ||||
\(866\) | −6280.00 | − | 16001.2i | −0.246424 | − | 0.627878i | ||||
\(867\) | 4618.74 | − | 20236.0i | 0.180923 | − | 0.792677i | ||||
\(868\) | 3323.64 | − | 17896.5i | 0.129967 | − | 0.699824i | ||||
\(869\) | 2530.74 | + | 11087.9i | 0.0987909 | + | 0.432831i | ||||
\(870\) | 80756.6 | − | 55058.9i | 3.14702 | − | 2.14560i | ||||
\(871\) | −17385.9 | + | 16131.7i | −0.676346 | + | 0.627558i | ||||
\(872\) | 91328.6 | + | 13765.6i | 3.54676 | + | 0.534588i | ||||
\(873\) | 4800.53 | + | 4454.24i | 0.186109 | + | 0.172684i | ||||
\(874\) | −38371.4 | − | 48116.3i | −1.48505 | − | 1.86219i | ||||
\(875\) | 9430.89 | − | 3335.81i | 0.364368 | − | 0.128881i | ||||
\(876\) | 16186.4 | − | 20297.1i | 0.624301 | − | 0.782849i | ||||
\(877\) | −42734.2 | + | 6441.14i | −1.64542 | + | 0.248007i | −0.905394 | − | 0.424573i | \(-0.860424\pi\) |
−0.740024 | + | 0.672580i | \(0.765186\pi\) | |||||||
\(878\) | 30449.7 | + | 20760.3i | 1.17042 | + | 0.797979i | ||||
\(879\) | 22510.5 | − | 57355.7i | 0.863776 | − | 2.20087i | ||||
\(880\) | −56964.8 | − | 17571.3i | −2.18214 | − | 0.673101i | ||||
\(881\) | 39096.2 | 1.49510 | 0.747551 | − | 0.664204i | \(-0.231229\pi\) | ||||
0.747551 | + | 0.664204i | \(0.231229\pi\) | |||||||
\(882\) | −6871.47 | − | 21754.0i | −0.262329 | − | 0.830492i | ||||
\(883\) | −39142.0 | −1.49177 | −0.745884 | − | 0.666075i | \(-0.767973\pi\) | ||||
−0.745884 | + | 0.666075i | \(0.767973\pi\) | |||||||
\(884\) | −22048.0 | − | 6800.91i | −0.838862 | − | 0.258755i | ||||
\(885\) | 14774.6 | − | 37645.1i | 0.561179 | − | 1.42986i | ||||
\(886\) | −46176.1 | − | 31482.3i | −1.75092 | − | 1.19376i | ||||
\(887\) | 2756.53 | − | 415.479i | 0.104346 | − | 0.0157277i | −0.0966616 | − | 0.995317i | \(-0.530816\pi\) |
0.201008 | + | 0.979590i | \(0.435578\pi\) | |||||||
\(888\) | −74815.3 | + | 93815.4i | −2.82729 | + | 3.54531i | ||||
\(889\) | −23515.7 | − | 14665.3i | −0.887165 | − | 0.553272i | ||||
\(890\) | 31606.1 | + | 39632.7i | 1.19038 | + | 1.49269i | ||||
\(891\) | −13605.1 | − | 12623.7i | −0.511547 | − | 0.474646i | ||||
\(892\) | 23412.6 | + | 3528.89i | 0.878826 | + | 0.132462i | ||||
\(893\) | 1460.65 | − | 1355.29i | 0.0547356 | − | 0.0507872i | ||||
\(894\) | −39457.1 | + | 26901.4i | −1.47611 | + | 1.00640i | ||||
\(895\) | 15775.3 | + | 69116.0i | 0.589172 | + | 2.58133i | ||||
\(896\) | 10064.4 | − | 13733.6i | 0.375254 | − | 0.512062i | ||||
\(897\) | 6970.94 | − | 30541.7i | 0.259479 | − | 1.13685i | ||||
\(898\) | 30569.3 | + | 77889.2i | 1.13598 | + | 2.89443i | ||||
\(899\) | −644.485 | − | 8600.05i | −0.0239096 | − | 0.319052i | ||||
\(900\) | −19715.6 | − | 34148.4i | −0.730207 | − | 1.26476i | ||||
\(901\) | −373.529 | + | 646.972i | −0.0138114 | + | 0.0239220i | ||||
\(902\) | 36214.5 | + | 17440.0i | 1.33682 | + | 0.643779i | ||||
\(903\) | −11088.0 | − | 25181.7i | −0.408623 | − | 0.928010i | ||||
\(904\) | 58348.9 | − | 28099.4i | 2.14674 | − | 1.03382i | ||||
\(905\) | −5251.74 | + | 70079.6i | −0.192899 | + | 2.57406i | ||||
\(906\) | 48911.7 | − | 15087.3i | 1.79358 | − | 0.553246i | ||||
\(907\) | 29435.6 | − | 9079.67i | 1.07761 | − | 0.332399i | 0.295374 | − | 0.955382i | \(-0.404556\pi\) |
0.782235 | + | 0.622983i | \(0.214079\pi\) | |||||||
\(908\) | −4315.03 | + | 57580.0i | −0.157708 | + | 2.10447i | ||||
\(909\) | −2330.29 | + | 1122.21i | −0.0850285 | + | 0.0409476i | ||||
\(910\) | −1611.13 | + | 47336.6i | −0.0586905 | + | 1.72439i | ||||
\(911\) | −34592.0 | − | 16658.6i | −1.25805 | − | 0.605846i | −0.318393 | − | 0.947959i | \(-0.603143\pi\) |
−0.939659 | + | 0.342113i | \(0.888857\pi\) | |||||||
\(912\) | 36883.5 | − | 63884.1i | 1.33918 | − | 2.31953i | ||||
\(913\) | −3184.68 | − | 5516.02i | −0.115441 | − | 0.199949i | ||||
\(914\) | −5286.65 | − | 70545.4i | −0.191320 | − | 2.55299i | ||||
\(915\) | 1555.16 | + | 3962.49i | 0.0561881 | + | 0.143165i | ||||
\(916\) | −17300.2 | + | 75796.9i | −0.624032 | + | 2.73406i | ||||
\(917\) | 7121.07 | + | 26221.6i | 0.256443 | + | 0.944291i | ||||
\(918\) | 4285.99 | + | 18778.1i | 0.154094 | + | 0.675132i | ||||
\(919\) | 18807.4 | − | 12822.6i | 0.675079 | − | 0.460261i | −0.176629 | − | 0.984277i | \(-0.556519\pi\) |
0.851708 | + | 0.524016i | \(0.175567\pi\) | |||||||
\(920\) | −134346. | + | 124655.i | −4.81443 | + | 4.46714i | ||||
\(921\) | −61149.5 | − | 9216.81i | −2.18778 | − | 0.329755i | ||||
\(922\) | 47599.0 | + | 44165.4i | 1.70020 | + | 1.57756i | ||||
\(923\) | 5162.73 | + | 6473.86i | 0.184110 | + | 0.230866i | ||||
\(924\) | −15492.7 | + | 44759.8i | −0.551592 | + | 1.59360i | ||||
\(925\) | −29610.4 | + | 37130.2i | −1.05252 | + | 1.31982i | ||||
\(926\) | −26755.1 | + | 4032.68i | −0.949490 | + | 0.143113i | ||||
\(927\) | 15591.2 | + | 10629.9i | 0.552407 | + | 0.376625i | ||||
\(928\) | 26546.7 | − | 67639.9i | 0.939049 | − | 2.39266i | ||||
\(929\) | −41136.2 | − | 12688.8i | −1.45278 | − | 0.448124i | −0.534879 | − | 0.844928i | \(-0.679643\pi\) |
−0.917903 | + | 0.396804i | \(0.870119\pi\) | |||||||
\(930\) | −27534.0 | −0.970834 | ||||||||
\(931\) | 15598.1 | − | 17040.1i | 0.549093 | − | 0.599858i | ||||
\(932\) | −51021.3 | −1.79320 | ||||||||
\(933\) | 14384.9 | + | 4437.14i | 0.504758 | + | 0.155697i | ||||
\(934\) | 5514.05 | − | 14049.6i | 0.193175 | − | 0.492202i | ||||
\(935\) | −11366.2 | − | 7749.35i | −0.397556 | − | 0.271049i | ||||
\(936\) | 22618.8 | − | 3409.23i | 0.789870 | − | 0.119054i | ||||
\(937\) | 27783.8 | − | 34839.8i | 0.968685 | − | 1.21469i | −0.00798975 | − | 0.999968i | \(-0.502543\pi\) |
0.976675 | − | 0.214724i | \(-0.0688853\pi\) | |||||||
\(938\) | −9295.77 | − | 80070.7i | −0.323580 | − | 2.78721i | ||||
\(939\) | 12799.1 | + | 16049.6i | 0.444817 | + | 0.557783i | ||||
\(940\) | −7264.05 | − | 6740.05i | −0.252050 | − | 0.233868i | ||||
\(941\) | −31597.1 | − | 4762.49i | −1.09462 | − | 0.164987i | −0.423178 | − | 0.906047i | \(-0.639086\pi\) |
−0.671439 | + | 0.741059i | \(0.734324\pi\) | |||||||
\(942\) | −18889.0 | + | 17526.4i | −0.653330 | + | 0.606202i | ||||
\(943\) | 53279.3 | − | 36325.2i | 1.83988 | − | 1.25441i | ||||
\(944\) | −14823.7 | − | 64947.0i | −0.511093 | − | 2.23924i | ||||
\(945\) | 24903.1 | − | 13269.5i | 0.857246 | − | 0.456778i | ||||
\(946\) | −5662.13 | + | 24807.4i | −0.194600 | + | 0.852599i | ||||
\(947\) | −15745.2 | − | 40118.2i | −0.540287 | − | 1.37663i | −0.896841 | − | 0.442354i | \(-0.854144\pi\) |
0.356554 | − | 0.934275i | \(-0.383952\pi\) | |||||||
\(948\) | 5230.25 | + | 69792.9i | 0.179188 | + | 2.39110i | ||||
\(949\) | 2980.24 | + | 5161.93i | 0.101942 | + | 0.176568i | ||||
\(950\) | 27974.0 | − | 48452.4i | 0.955365 | − | 1.65474i | ||||
\(951\) | −14994.8 | − | 7221.13i | −0.511294 | − | 0.246226i | ||||
\(952\) | 37687.5 | − | 28011.8i | 1.28305 | − | 0.953641i | ||||
\(953\) | −37852.3 | + | 18228.7i | −1.28663 | + | 0.619607i | −0.947085 | − | 0.320984i | \(-0.895986\pi\) |
−0.339542 | + | 0.940591i | \(0.610272\pi\) | |||||||
\(954\) | 92.4296 | − | 1233.39i | 0.00313681 | − | 0.0418579i | ||||
\(955\) | −13870.9 | + | 4278.61i | −0.470002 | + | 0.144977i | ||||
\(956\) | 4427.28 | − | 1365.64i | 0.149779 | − | 0.0462007i | ||||
\(957\) | −1677.03 | + | 22378.4i | −0.0566464 | + | 0.755894i | ||||
\(958\) | −73905.0 | + | 35590.8i | −2.49244 | + | 1.20030i | ||||
\(959\) | 4002.61 | + | 1058.02i | 0.134777 | + | 0.0356259i | ||||
\(960\) | −76406.6 | − | 36795.5i | −2.56876 | − | 1.23705i | ||||
\(961\) | 13680.8 | − | 23695.8i | 0.459225 | − | 0.795400i | ||||
\(962\) | −23004.4 | − | 39844.8i | −0.770989 | − | 1.33539i | ||||
\(963\) | 856.868 | + | 11434.1i | 0.0286731 | + | 0.382616i | ||||
\(964\) | 17751.7 | + | 45230.5i | 0.593095 | + | 1.51118i | ||||
\(965\) | 4999.05 | − | 21902.3i | 0.166762 | − | 0.730632i | ||||
\(966\) | 69723.2 | + | 80468.5i | 2.32226 | + | 2.68016i | ||||
\(967\) | −7714.65 | − | 33800.1i | −0.256553 | − | 1.12403i | −0.924909 | − | 0.380189i | \(-0.875859\pi\) |
0.668356 | − | 0.743841i | \(-0.266998\pi\) | |||||||
\(968\) | −47736.0 | + | 32545.8i | −1.58501 | + | 1.08064i | ||||
\(969\) | 12478.5 | − | 11578.4i | 0.413693 | − | 0.383851i | ||||
\(970\) | 45693.4 | + | 6887.17i | 1.51250 | + | 0.227973i | ||||
\(971\) | −13171.4 | − | 12221.2i | −0.435313 | − | 0.403911i | 0.431842 | − | 0.901949i | \(-0.357864\pi\) |
−0.867155 | + | 0.498038i | \(0.834054\pi\) | |||||||
\(972\) | −40763.6 | − | 51115.9i | −1.34516 | − | 1.68677i | ||||
\(973\) | 9300.83 | + | 14691.8i | 0.306445 | + | 0.484067i | ||||
\(974\) | 10274.3 | − | 12883.6i | 0.337998 | − | 0.423837i | ||||
\(975\) | 28161.0 | − | 4244.59i | 0.925000 | − | 0.139421i | ||||
\(976\) | 5793.65 | + | 3950.05i | 0.190011 | + | 0.129547i | ||||
\(977\) | −19228.1 | + | 48992.5i | −0.629644 | + | 1.60431i | 0.157487 | + | 0.987521i | \(0.449661\pi\) |
−0.787131 | + | 0.616785i | \(0.788435\pi\) | |||||||
\(978\) | 115498. | + | 35626.4i | 3.77629 | + | 1.16483i | ||||
\(979\) | −11638.9 | −0.379961 | ||||||||
\(980\) | −90303.1 | − | 71021.8i | −2.94350 | − | 2.31501i | ||||
\(981\) | −18413.8 | −0.599294 | ||||||||
\(982\) | 80190.9 | + | 24735.6i | 2.60590 | + | 0.803814i | ||||
\(983\) | 5873.71 | − | 14966.0i | 0.190582 | − | 0.485596i | −0.803361 | − | 0.595493i | \(-0.796957\pi\) |
0.993943 | + | 0.109897i | \(0.0350521\pi\) | |||||||
\(984\) | 122380. | + | 83437.4i | 3.96477 | + | 2.70314i | ||||
\(985\) | 79264.1 | − | 11947.1i | 2.56402 | − | 0.386464i | ||||
\(986\) | 23165.3 | − | 29048.4i | 0.748210 | − | 0.938225i | ||||
\(987\) | −2429.33 | + | 2445.79i | −0.0783448 | + | 0.0788758i | ||||
\(988\) | 24117.9 | + | 30242.9i | 0.776613 | + | 0.973842i | ||||
\(989\) | 29924.2 | + | 27765.6i | 0.962118 | + | 0.892715i | ||||
\(990\) | 22521.3 | + | 3394.54i | 0.723004 | + | 0.108975i | ||||
\(991\) | −9126.83 | + | 8468.46i | −0.292556 | + | 0.271453i | −0.812771 | − | 0.582583i | \(-0.802042\pi\) |
0.520215 | + | 0.854035i | \(0.325852\pi\) | |||||||
\(992\) | −16912.8 | + | 11530.9i | −0.541311 | + | 0.369060i | ||||
\(993\) | −815.754 | − | 3574.05i | −0.0260696 | − | 0.114219i | ||||
\(994\) | −28119.5 | + | 1147.28i | −0.897280 | + | 0.0366090i | ||||
\(995\) | −787.382 | + | 3449.75i | −0.0250871 | + | 0.109914i | ||||
\(996\) | −14320.1 | − | 36486.9i | −0.455571 | − | 1.16078i | ||||
\(997\) | −2808.03 | − | 37470.5i | −0.0891988 | − | 1.19027i | −0.844741 | − | 0.535175i | \(-0.820246\pi\) |
0.755542 | − | 0.655100i | \(-0.227373\pi\) | |||||||
\(998\) | −45189.0 | − | 78269.6i | −1.43330 | − | 2.48255i | ||||
\(999\) | −13705.2 | + | 23738.1i | −0.434047 | + | 0.751791i |
(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 | 49.4.g.a.2.13 | ✓ | 156 | |
49.5 | odd | 42 | 2401.4.a.f.1.76 | 78 | |||
49.25 | even | 21 | inner | 49.4.g.a.25.13 | yes | 156 | |
49.44 | even | 21 | 2401.4.a.g.1.76 | 78 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.4.g.a.2.13 | ✓ | 156 | 1.1 | even | 1 | trivial | |
49.4.g.a.25.13 | yes | 156 | 49.25 | even | 21 | inner | |
2401.4.a.f.1.76 | 78 | 49.5 | odd | 42 | |||
2401.4.a.g.1.76 | 78 | 49.44 | even | 21 |