Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,4,Mod(5,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 29]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.o (of order \(42\), 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: | \(8.67328077084\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 101.9 | ||
Character | \(\chi\) | \(=\) | 147.101 |
Dual form | 147.4.o.a.131.9 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.81031 | − | 1.49544i | −1.34715 | − | 0.528717i | −0.421407 | − | 0.906872i | \(-0.638464\pi\) |
−0.925743 | + | 0.378154i | \(0.876559\pi\) | |||||||
\(3\) | −2.12806 | − | 4.74040i | −0.409545 | − | 0.912290i | ||||
\(4\) | 6.41775 | + | 5.95480i | 0.802218 | + | 0.744350i | ||||
\(5\) | 16.4115 | + | 11.1892i | 1.46789 | + | 1.00079i | 0.992662 | + | 0.120925i | \(0.0385862\pi\) |
0.475226 | + | 0.879864i | \(0.342366\pi\) | |||||||
\(6\) | 1.01959 | + | 21.2448i | 0.0693745 | + | 1.44552i | ||||
\(7\) | −10.6461 | − | 15.1545i | −0.574836 | − | 0.818269i | ||||
\(8\) | −1.34059 | − | 2.78376i | −0.0592461 | − | 0.123026i | ||||
\(9\) | −17.9428 | + | 20.1757i | −0.664546 | + | 0.747247i | ||||
\(10\) | −45.8002 | − | 67.1766i | −1.44833 | − | 2.12431i | ||||
\(11\) | −7.93468 | − | 52.6432i | −0.217491 | − | 1.44296i | −0.784952 | − | 0.619556i | \(-0.787313\pi\) |
0.567461 | − | 0.823400i | \(-0.307926\pi\) | |||||||
\(12\) | 14.5708 | − | 43.0948i | 0.350519 | − | 1.03670i | ||||
\(13\) | −50.8769 | + | 40.5730i | −1.08544 | + | 0.865609i | −0.991518 | − | 0.129970i | \(-0.958512\pi\) |
−0.0939219 | + | 0.995580i | \(0.529940\pi\) | |||||||
\(14\) | 17.9023 | + | 73.6642i | 0.341757 | + | 1.40626i | ||||
\(15\) | 18.1165 | − | 101.608i | 0.311844 | − | 1.74901i | ||||
\(16\) | −4.28888 | − | 57.2311i | −0.0670137 | − | 0.894236i | ||||
\(17\) | −38.2642 | − | 11.8029i | −0.545907 | − | 0.168390i | 0.00952091 | − | 0.999955i | \(-0.496969\pi\) |
−0.555428 | + | 0.831565i | \(0.687446\pi\) | |||||||
\(18\) | 98.5390 | − | 50.0434i | 1.29033 | − | 0.655297i | ||||
\(19\) | −44.3254 | + | 25.5913i | −0.535208 | + | 0.309003i | −0.743135 | − | 0.669142i | \(-0.766662\pi\) |
0.207927 | + | 0.978144i | \(0.433329\pi\) | |||||||
\(20\) | 38.6956 | + | 169.536i | 0.432629 | + | 1.89547i | ||||
\(21\) | −49.1831 | + | 82.7165i | −0.511077 | + | 0.859535i | ||||
\(22\) | −48.4910 | + | 212.453i | −0.469923 | + | 2.05887i | ||||
\(23\) | 22.6546 | + | 73.4443i | 0.205383 | + | 0.665835i | 0.998395 | + | 0.0566294i | \(0.0180354\pi\) |
−0.793012 | + | 0.609205i | \(0.791488\pi\) | |||||||
\(24\) | −10.3433 | + | 12.2789i | −0.0879713 | + | 0.104434i | ||||
\(25\) | 98.4719 | + | 250.902i | 0.787775 | + | 2.00722i | ||||
\(26\) | 254.531 | − | 78.5126i | 1.91991 | − | 0.592215i | ||||
\(27\) | 133.824 | + | 42.1208i | 0.953867 | + | 0.300228i | ||||
\(28\) | 21.9183 | − | 160.654i | 0.147934 | − | 1.08431i | ||||
\(29\) | −77.9880 | + | 17.8002i | −0.499379 | + | 0.113980i | −0.464789 | − | 0.885421i | \(-0.653870\pi\) |
−0.0345904 | + | 0.999402i | \(0.511013\pi\) | |||||||
\(30\) | −220.978 | + | 360.067i | −1.34483 | + | 2.19130i | ||||
\(31\) | −241.902 | − | 139.662i | −1.40151 | − | 0.809164i | −0.406965 | − | 0.913444i | \(-0.633413\pi\) |
−0.994548 | + | 0.104280i | \(0.966746\pi\) | |||||||
\(32\) | −76.5293 | + | 248.102i | −0.422769 | + | 1.37058i | ||||
\(33\) | −232.664 | + | 149.641i | −1.22732 | + | 0.789370i | ||||
\(34\) | 128.148 | + | 102.195i | 0.646388 | + | 0.515477i | ||||
\(35\) | −5.15176 | − | 367.830i | −0.0248802 | − | 1.77642i | ||||
\(36\) | −235.294 | + | 22.6369i | −1.08932 | + | 0.104800i | ||||
\(37\) | −93.7837 | + | 87.0185i | −0.416701 | + | 0.386642i | −0.860472 | − | 0.509498i | \(-0.829831\pi\) |
0.443770 | + | 0.896140i | \(0.353641\pi\) | |||||||
\(38\) | 207.164 | − | 31.2250i | 0.884380 | − | 0.133299i | ||||
\(39\) | 300.601 | + | 154.835i | 1.23422 | + | 0.635730i | ||||
\(40\) | 9.14689 | − | 60.6856i | 0.0361563 | − | 0.239881i | ||||
\(41\) | 162.048 | − | 78.0381i | 0.617259 | − | 0.297256i | −0.0990039 | − | 0.995087i | \(-0.531566\pi\) |
0.716262 | + | 0.697831i | \(0.245851\pi\) | |||||||
\(42\) | 311.100 | − | 241.626i | 1.14295 | − | 0.887706i | ||||
\(43\) | −40.4011 | − | 19.4561i | −0.143282 | − | 0.0690008i | 0.360869 | − | 0.932616i | \(-0.382480\pi\) |
−0.504151 | + | 0.863616i | \(0.668194\pi\) | |||||||
\(44\) | 262.557 | − | 385.100i | 0.899589 | − | 1.31946i | ||||
\(45\) | −520.216 | + | 130.348i | −1.72332 | + | 0.431804i | ||||
\(46\) | 23.5104 | − | 313.725i | 0.0753570 | − | 1.00557i | ||||
\(47\) | −151.249 | + | 385.377i | −0.469404 | + | 1.19602i | 0.478677 | + | 0.877991i | \(0.341117\pi\) |
−0.948081 | + | 0.318030i | \(0.896979\pi\) | |||||||
\(48\) | −262.171 | + | 142.122i | −0.788357 | + | 0.427365i | ||||
\(49\) | −116.321 | + | 322.674i | −0.339127 | + | 0.940740i | ||||
\(50\) | − | 1103.28i | − | 3.12053i | ||||||
\(51\) | 25.4777 | + | 206.505i | 0.0699528 | + | 0.566989i | ||||
\(52\) | −568.119 | − | 42.5746i | −1.51508 | − | 0.113539i | ||||
\(53\) | −12.7900 | + | 13.7843i | −0.0331479 | + | 0.0357249i | −0.749408 | − | 0.662108i | \(-0.769662\pi\) |
0.716260 | + | 0.697833i | \(0.245852\pi\) | |||||||
\(54\) | −446.922 | − | 360.619i | −1.12627 | − | 0.908778i | ||||
\(55\) | 458.813 | − | 952.735i | 1.12484 | − | 2.33576i | ||||
\(56\) | −27.9146 | + | 49.9522i | −0.0666114 | + | 0.119199i | ||||
\(57\) | 215.640 | + | 155.661i | 0.501092 | + | 0.361715i | ||||
\(58\) | 323.778 | + | 48.8017i | 0.733002 | + | 0.110482i | ||||
\(59\) | 25.1494 | − | 17.1466i | 0.0554945 | − | 0.0378355i | −0.535255 | − | 0.844690i | \(-0.679784\pi\) |
0.590750 | + | 0.806855i | \(0.298832\pi\) | |||||||
\(60\) | 721.323 | − | 544.215i | 1.55204 | − | 1.17096i | ||||
\(61\) | −127.527 | − | 137.441i | −0.267675 | − | 0.288485i | 0.584883 | − | 0.811118i | \(-0.301140\pi\) |
−0.852558 | + | 0.522633i | \(0.824950\pi\) | |||||||
\(62\) | 712.867 | + | 893.907i | 1.46023 | + | 1.83107i | ||||
\(63\) | 496.774 | + | 57.1219i | 0.993454 | + | 0.114233i | ||||
\(64\) | 376.357 | − | 471.937i | 0.735073 | − | 0.921753i | ||||
\(65\) | −1288.94 | + | 96.5930i | −2.45960 | + | 0.184321i | ||||
\(66\) | 1110.30 | − | 222.245i | 2.07074 | − | 0.414492i | ||||
\(67\) | −270.829 | + | 469.089i | −0.493836 | + | 0.855349i | −0.999975 | − | 0.00710319i | \(-0.997739\pi\) |
0.506139 | + | 0.862452i | \(0.331072\pi\) | |||||||
\(68\) | −175.286 | − | 303.604i | −0.312596 | − | 0.541431i | ||||
\(69\) | 299.945 | − | 263.685i | 0.523321 | − | 0.460058i | ||||
\(70\) | −530.437 | + | 1409.25i | −0.905705 | + | 2.40625i | ||||
\(71\) | 152.478 | + | 34.8020i | 0.254870 | + | 0.0581724i | 0.348047 | − | 0.937477i | \(-0.386845\pi\) |
−0.0931769 | + | 0.995650i | \(0.529702\pi\) | |||||||
\(72\) | 80.2180 | + | 22.9010i | 0.131303 | + | 0.0374849i | ||||
\(73\) | 150.307 | − | 58.9910i | 0.240987 | − | 0.0945805i | −0.241774 | − | 0.970333i | \(-0.577729\pi\) |
0.482761 | + | 0.875752i | \(0.339634\pi\) | |||||||
\(74\) | 487.476 | − | 191.320i | 0.765783 | − | 0.300548i | ||||
\(75\) | 979.823 | − | 1000.73i | 1.50854 | − | 1.54072i | ||||
\(76\) | −436.861 | − | 99.7106i | −0.659360 | − | 0.150495i | ||||
\(77\) | −713.310 | + | 680.692i | −1.05570 | + | 1.00743i | ||||
\(78\) | −913.838 | − | 1039.50i | −1.32656 | − | 1.50898i | ||||
\(79\) | −283.444 | − | 490.939i | −0.403670 | − | 0.699177i | 0.590496 | − | 0.807041i | \(-0.298932\pi\) |
−0.994166 | + | 0.107864i | \(0.965599\pi\) | |||||||
\(80\) | 569.981 | − | 987.236i | 0.796572 | − | 1.37970i | ||||
\(81\) | −85.1154 | − | 724.014i | −0.116756 | − | 0.993161i | ||||
\(82\) | −734.154 | + | 55.0172i | −0.988704 | + | 0.0740931i | ||||
\(83\) | −526.701 | + | 660.462i | −0.696541 | + | 0.873435i | −0.996760 | − | 0.0804354i | \(-0.974369\pi\) |
0.300219 | + | 0.953870i | \(0.402940\pi\) | |||||||
\(84\) | −808.205 | + | 237.978i | −1.04979 | + | 0.309114i | ||||
\(85\) | −495.907 | − | 621.847i | −0.632807 | − | 0.793515i | ||||
\(86\) | 124.845 | + | 134.551i | 0.156540 | + | 0.168710i | ||||
\(87\) | 250.343 | + | 331.814i | 0.308501 | + | 0.408899i | ||||
\(88\) | −135.909 | + | 92.6610i | −0.164635 | + | 0.112247i | ||||
\(89\) | −1025.58 | − | 154.582i | −1.22148 | − | 0.184109i | −0.493524 | − | 0.869732i | \(-0.664292\pi\) |
−0.727956 | + | 0.685624i | \(0.759530\pi\) | |||||||
\(90\) | 2177.11 | + | 281.283i | 2.54987 | + | 0.329442i | ||||
\(91\) | 1156.51 | + | 339.072i | 1.33225 | + | 0.390598i | ||||
\(92\) | −291.955 | + | 606.251i | −0.330852 | + | 0.687022i | ||||
\(93\) | −147.273 | + | 1443.92i | −0.164210 | + | 1.60998i | ||||
\(94\) | 1152.62 | − | 1242.22i | 1.26471 | − | 1.36304i | ||||
\(95\) | −1013.79 | − | 75.9732i | −1.09487 | − | 0.0820493i | ||||
\(96\) | 1338.96 | − | 165.196i | 1.42351 | − | 0.175627i | ||||
\(97\) | − | 626.833i | − | 0.656137i | −0.944654 | − | 0.328068i | \(-0.893602\pi\) | ||
0.944654 | − | 0.328068i | \(-0.106398\pi\) | |||||||
\(98\) | 925.758 | − | 1055.54i | 0.954241 | − | 1.08802i | ||||
\(99\) | 1204.48 | + | 784.476i | 1.22278 | + | 0.796392i | ||||
\(100\) | −862.105 | + | 2196.61i | −0.862105 | + | 2.19661i | ||||
\(101\) | 80.6924 | − | 1076.76i | 0.0794969 | − | 1.06081i | −0.804695 | − | 0.593689i | \(-0.797671\pi\) |
0.884192 | − | 0.467124i | \(-0.154710\pi\) | |||||||
\(102\) | 211.737 | − | 824.948i | 0.205540 | − | 0.800804i | ||||
\(103\) | −1144.15 | + | 1678.16i | −1.09453 | + | 1.60537i | −0.351396 | + | 0.936227i | \(0.614293\pi\) |
−0.743130 | + | 0.669147i | \(0.766659\pi\) | |||||||
\(104\) | 181.150 | + | 87.2374i | 0.170800 | + | 0.0822532i | ||||
\(105\) | −1732.70 | + | 807.184i | −1.61042 | + | 0.750220i | ||||
\(106\) | 69.3475 | − | 33.3960i | 0.0635436 | − | 0.0306010i | ||||
\(107\) | 166.343 | − | 1103.62i | 0.150290 | − | 0.997109i | −0.778805 | − | 0.627267i | \(-0.784174\pi\) |
0.929095 | − | 0.369842i | \(-0.120588\pi\) | |||||||
\(108\) | 608.027 | + | 1067.22i | 0.541735 | + | 0.950860i | ||||
\(109\) | 665.692 | − | 100.337i | 0.584970 | − | 0.0881700i | 0.150112 | − | 0.988669i | \(-0.452037\pi\) |
0.434858 | + | 0.900499i | \(0.356799\pi\) | |||||||
\(110\) | −3172.98 | + | 2944.10i | −2.75029 | + | 2.55190i | ||||
\(111\) | 612.080 | + | 259.392i | 0.523388 | + | 0.221805i | ||||
\(112\) | −821.651 | + | 674.284i | −0.693203 | + | 0.568874i | ||||
\(113\) | 1165.02 | + | 929.071i | 0.969873 | + | 0.773448i | 0.974001 | − | 0.226543i | \(-0.0727425\pi\) |
−0.00412769 | + | 0.999991i | \(0.501314\pi\) | |||||||
\(114\) | −588.876 | − | 915.592i | −0.483801 | − | 0.752220i | ||||
\(115\) | −449.985 | + | 1458.82i | −0.364881 | + | 1.18292i | ||||
\(116\) | −606.504 | − | 350.165i | −0.485452 | − | 0.280276i | ||||
\(117\) | 94.2846 | − | 1754.47i | 0.0745009 | − | 1.38633i | ||||
\(118\) | −121.469 | + | 27.7245i | −0.0947637 | + | 0.0216292i | ||||
\(119\) | 228.496 | + | 705.531i | 0.176019 | + | 0.543495i | ||||
\(120\) | −307.139 | + | 85.7826i | −0.233649 | + | 0.0652570i | ||||
\(121\) | −1436.48 | + | 443.095i | −1.07925 | + | 0.332904i | ||||
\(122\) | 280.383 | + | 714.404i | 0.208071 | + | 0.530156i | ||||
\(123\) | −714.778 | − | 602.101i | −0.523979 | − | 0.441379i | ||||
\(124\) | −720.806 | − | 2336.80i | −0.522018 | − | 1.69234i | ||||
\(125\) | −638.828 | + | 2798.89i | −0.457108 | + | 2.00272i | ||||
\(126\) | −1807.44 | − | 960.547i | −1.27793 | − | 0.679145i | ||||
\(127\) | −327.148 | − | 1433.33i | −0.228580 | − | 1.00148i | −0.950798 | − | 0.309810i | \(-0.899734\pi\) |
0.722218 | − | 0.691665i | \(-0.243123\pi\) | |||||||
\(128\) | −340.977 | + | 196.863i | −0.235456 | + | 0.135941i | ||||
\(129\) | −6.25405 | + | 232.921i | −0.00426851 | + | 0.158973i | ||||
\(130\) | 5055.73 | + | 1559.49i | 3.41090 | + | 1.05212i | ||||
\(131\) | 23.3584 | + | 311.697i | 0.0155789 | + | 0.207886i | 0.999561 | + | 0.0296200i | \(0.00942972\pi\) |
−0.983982 | + | 0.178266i | \(0.942951\pi\) | |||||||
\(132\) | −2384.26 | − | 425.109i | −1.57215 | − | 0.280311i | ||||
\(133\) | 859.718 | + | 399.284i | 0.560504 | + | 0.260318i | ||||
\(134\) | 1733.44 | − | 1382.37i | 1.11751 | − | 0.891183i | ||||
\(135\) | 1724.95 | + | 2188.64i | 1.09971 | + | 1.39532i | ||||
\(136\) | 18.4399 | + | 122.341i | 0.0116266 | + | 0.0771372i | ||||
\(137\) | −355.788 | − | 521.846i | −0.221876 | − | 0.325433i | 0.699120 | − | 0.715005i | \(-0.253575\pi\) |
−0.920996 | + | 0.389572i | \(0.872623\pi\) | |||||||
\(138\) | −1537.21 | + | 556.175i | −0.948232 | + | 0.343078i | ||||
\(139\) | −698.691 | − | 1450.85i | −0.426347 | − | 0.885319i | −0.997901 | − | 0.0647543i | \(-0.979374\pi\) |
0.571554 | − | 0.820564i | \(-0.306341\pi\) | |||||||
\(140\) | 2157.29 | − | 2391.32i | 1.30232 | − | 1.44359i | ||||
\(141\) | 2148.71 | − | 103.122i | 1.28336 | − | 0.0615918i | ||||
\(142\) | −528.943 | − | 360.627i | −0.312591 | − | 0.213121i | ||||
\(143\) | 2539.58 | + | 2356.39i | 1.48511 | + | 1.37798i | ||||
\(144\) | 1231.63 | + | 940.352i | 0.712749 | + | 0.544185i | ||||
\(145\) | −1479.07 | − | 580.491i | −0.847103 | − | 0.332463i | ||||
\(146\) | −660.933 | −0.374652 | ||||||||
\(147\) | 1777.14 | − | 135.262i | 0.997116 | − | 0.0758926i | ||||
\(148\) | −1120.06 | −0.622082 | ||||||||
\(149\) | 3022.87 | + | 1186.39i | 1.66204 | + | 0.652301i | 0.995639 | − | 0.0932948i | \(-0.0297399\pi\) |
0.666398 | + | 0.745596i | \(0.267835\pi\) | |||||||
\(150\) | −5229.96 | + | 2347.83i | −2.84683 | + | 1.27800i | ||||
\(151\) | −1385.32 | − | 1285.39i | −0.746597 | − | 0.692741i | 0.212076 | − | 0.977253i | \(-0.431978\pi\) |
−0.958672 | + | 0.284513i | \(0.908168\pi\) | |||||||
\(152\) | 130.662 | + | 89.0839i | 0.0697243 | + | 0.0475372i | ||||
\(153\) | 924.696 | − | 560.228i | 0.488609 | − | 0.296024i | ||||
\(154\) | 3735.87 | − | 1526.94i | 1.95484 | − | 0.798988i | ||||
\(155\) | −2407.27 | − | 4998.75i | −1.24746 | − | 2.59038i | ||||
\(156\) | 1007.17 | + | 2783.71i | 0.516911 | + | 1.42869i | ||||
\(157\) | −39.3090 | − | 57.6557i | −0.0199821 | − | 0.0293084i | 0.816118 | − | 0.577886i | \(-0.196122\pi\) |
−0.836100 | + | 0.548577i | \(0.815170\pi\) | |||||||
\(158\) | 345.841 | + | 2294.51i | 0.174137 | + | 1.15532i | ||||
\(159\) | 92.5610 | + | 31.2958i | 0.0461671 | + | 0.0156095i | ||||
\(160\) | −4032.01 | + | 3215.42i | −1.99224 | + | 1.58876i | ||||
\(161\) | 871.833 | − | 1125.22i | 0.426770 | − | 0.550804i | ||||
\(162\) | −758.402 | + | 2886.01i | −0.367813 | + | 1.39967i | ||||
\(163\) | −155.273 | − | 2071.98i | −0.0746132 | − | 0.995644i | −0.901360 | − | 0.433070i | \(-0.857430\pi\) |
0.826747 | − | 0.562574i | \(-0.190189\pi\) | |||||||
\(164\) | 1504.68 | + | 464.133i | 0.716439 | + | 0.220992i | ||||
\(165\) | −5492.73 | − | 147.482i | −2.59156 | − | 0.0695848i | ||||
\(166\) | 2994.58 | − | 1728.92i | 1.40015 | − | 0.808374i | ||||
\(167\) | −685.133 | − | 3001.76i | −0.317468 | − | 1.39092i | −0.841977 | − | 0.539514i | \(-0.818608\pi\) |
0.524508 | − | 0.851405i | \(-0.324249\pi\) | |||||||
\(168\) | 296.197 | + | 26.0251i | 0.136024 | + | 0.0119516i | ||||
\(169\) | 453.415 | − | 1986.54i | 0.206379 | − | 0.904206i | ||||
\(170\) | 959.626 | + | 3111.03i | 0.432941 | + | 1.40356i | ||||
\(171\) | 278.999 | − | 1353.47i | 0.124769 | − | 0.605279i | ||||
\(172\) | −143.427 | − | 365.445i | −0.0635824 | − | 0.162005i | ||||
\(173\) | 1342.61 | − | 414.142i | 0.590041 | − | 0.182004i | 0.0146649 | − | 0.999892i | \(-0.495332\pi\) |
0.575376 | + | 0.817889i | \(0.304856\pi\) | |||||||
\(174\) | −457.678 | − | 1638.69i | −0.199405 | − | 0.713958i | ||||
\(175\) | 2753.97 | − | 4163.43i | 1.18960 | − | 1.79843i | ||||
\(176\) | −2978.80 | + | 679.891i | −1.27577 | + | 0.291186i | ||||
\(177\) | −134.801 | − | 82.7294i | −0.0572445 | − | 0.0351318i | ||||
\(178\) | 3676.63 | + | 2122.70i | 1.54818 | + | 0.893840i | ||||
\(179\) | 411.945 | − | 1335.49i | 0.172013 | − | 0.557651i | −0.827983 | − | 0.560754i | \(-0.810511\pi\) |
0.999995 | + | 0.00310280i | \(0.000987652\pi\) | |||||||
\(180\) | −4114.81 | − | 2261.24i | −1.70389 | − | 0.936349i | ||||
\(181\) | 856.911 | + | 683.364i | 0.351899 | + | 0.280630i | 0.783445 | − | 0.621461i | \(-0.213460\pi\) |
−0.431546 | + | 0.902091i | \(0.642032\pi\) | |||||||
\(182\) | −3899.59 | − | 3021.46i | −1.58823 | − | 1.23058i | ||||
\(183\) | −380.142 | + | 897.012i | −0.153557 | + | 0.362344i | ||||
\(184\) | 174.081 | − | 161.523i | 0.0697468 | − | 0.0647156i | ||||
\(185\) | −2512.79 | + | 378.743i | −0.998618 | + | 0.150517i | ||||
\(186\) | 2720.45 | − | 5281.56i | 1.07244 | − | 2.08206i | ||||
\(187\) | −317.730 | + | 2108.00i | −0.124250 | + | 0.824343i | ||||
\(188\) | −3265.52 | + | 1572.59i | −1.26682 | + | 0.610070i | ||||
\(189\) | −786.382 | − | 2476.46i | −0.302650 | − | 0.953102i | ||||
\(190\) | 3749.25 | + | 1805.54i | 1.43158 | + | 0.689410i | ||||
\(191\) | 554.851 | − | 813.817i | 0.210197 | − | 0.308302i | −0.706633 | − | 0.707580i | \(-0.749787\pi\) |
0.916830 | + | 0.399278i | \(0.130739\pi\) | |||||||
\(192\) | −3038.08 | − | 779.775i | −1.14195 | − | 0.293101i | ||||
\(193\) | 217.028 | − | 2896.03i | 0.0809429 | − | 1.08011i | −0.797834 | − | 0.602877i | \(-0.794021\pi\) |
0.878777 | − | 0.477232i | \(-0.158360\pi\) | |||||||
\(194\) | −937.391 | + | 2388.43i | −0.346911 | + | 0.883915i | ||||
\(195\) | 3200.83 | + | 5904.55i | 1.17547 | + | 2.16838i | ||||
\(196\) | −2667.98 | + | 1378.17i | −0.972294 | + | 0.502250i | ||||
\(197\) | − | 512.779i | − | 0.185452i | −0.995692 | − | 0.0927258i | \(-0.970442\pi\) | ||
0.995692 | − | 0.0927258i | \(-0.0295580\pi\) | |||||||
\(198\) | −3416.32 | − | 4790.33i | −1.22620 | − | 1.71936i | ||||
\(199\) | −2637.41 | − | 197.646i | −0.939502 | − | 0.0704059i | −0.403832 | − | 0.914833i | \(-0.632322\pi\) |
−0.535670 | + | 0.844427i | \(0.679941\pi\) | |||||||
\(200\) | 566.441 | − | 610.478i | 0.200267 | − | 0.215837i | ||||
\(201\) | 2800.01 | + | 285.588i | 0.982574 | + | 0.100218i | ||||
\(202\) | −1917.70 | + | 3982.14i | −0.667964 | + | 1.38704i | ||||
\(203\) | 1100.02 | + | 992.369i | 0.380328 | + | 0.343107i | ||||
\(204\) | −1066.18 | + | 1477.01i | −0.365921 | + | 0.506918i | ||||
\(205\) | 3532.62 | + | 532.457i | 1.20356 | + | 0.181407i | ||||
\(206\) | 6869.14 | − | 4683.30i | 2.32328 | − | 1.58398i | ||||
\(207\) | −1888.27 | − | 860.722i | −0.634030 | − | 0.289006i | ||||
\(208\) | 2540.24 | + | 2737.73i | 0.846798 | + | 0.912631i | ||||
\(209\) | 1698.92 | + | 2130.37i | 0.562280 | + | 0.705077i | ||||
\(210\) | 7809.21 | − | 484.484i | 2.56613 | − | 0.159203i | ||||
\(211\) | −2486.58 | + | 3118.07i | −0.811294 | + | 1.01733i | 0.188087 | + | 0.982152i | \(0.439771\pi\) |
−0.999381 | + | 0.0351780i | \(0.988800\pi\) | |||||||
\(212\) | −164.166 | + | 12.3025i | −0.0531837 | + | 0.00398557i | ||||
\(213\) | −159.505 | − | 796.865i | −0.0513105 | − | 0.256339i | ||||
\(214\) | −2284.21 | + | 3956.37i | −0.729652 | + | 1.26379i | ||||
\(215\) | −445.344 | − | 771.359i | −0.141266 | − | 0.244680i | ||||
\(216\) | −62.1485 | − | 429.000i | −0.0195772 | − | 0.135138i | ||||
\(217\) | 458.798 | + | 5152.78i | 0.143526 | + | 1.61195i | ||||
\(218\) | −2686.54 | − | 613.186i | −0.834659 | − | 0.190505i | ||||
\(219\) | −599.502 | − | 586.977i | −0.184980 | − | 0.181115i | ||||
\(220\) | 8617.90 | − | 3382.27i | 2.64099 | − | 1.03651i | ||||
\(221\) | 2425.64 | − | 951.994i | 0.738309 | − | 0.289765i | ||||
\(222\) | −1944.31 | − | 1903.69i | −0.587809 | − | 0.575529i | ||||
\(223\) | 3048.25 | + | 695.743i | 0.915362 | + | 0.208925i | 0.654158 | − | 0.756358i | \(-0.273023\pi\) |
0.261204 | + | 0.965284i | \(0.415880\pi\) | |||||||
\(224\) | 4574.61 | − | 1481.55i | 1.36453 | − | 0.441921i | ||||
\(225\) | −6828.98 | − | 2515.14i | −2.02340 | − | 0.745227i | ||||
\(226\) | −3049.72 | − | 5282.27i | −0.897629 | − | 1.55474i | ||||
\(227\) | −1683.52 | + | 2915.94i | −0.492243 | + | 0.852590i | −0.999960 | − | 0.00893400i | \(-0.997156\pi\) |
0.507717 | + | 0.861524i | \(0.330490\pi\) | |||||||
\(228\) | 456.996 | + | 2283.08i | 0.132743 | + | 0.663162i | ||||
\(229\) | 3294.70 | − | 246.904i | 0.950742 | − | 0.0712483i | 0.409679 | − | 0.912230i | \(-0.365641\pi\) |
0.541064 | + | 0.840982i | \(0.318022\pi\) | |||||||
\(230\) | 3896.16 | − | 4885.62i | 1.11698 | − | 1.40065i | ||||
\(231\) | 4744.71 | + | 1932.82i | 1.35143 | + | 0.550522i | ||||
\(232\) | 154.101 | + | 193.237i | 0.0436088 | + | 0.0546837i | ||||
\(233\) | −4693.75 | − | 5058.66i | −1.31973 | − | 1.42233i | −0.837650 | − | 0.546208i | \(-0.816071\pi\) |
−0.482083 | − | 0.876126i | \(-0.660120\pi\) | |||||||
\(234\) | −2982.95 | + | 6544.07i | −0.833340 | + | 1.82820i | ||||
\(235\) | −6794.27 | + | 4632.26i | −1.88600 | + | 1.28585i | ||||
\(236\) | 263.507 | + | 39.7173i | 0.0726816 | + | 0.0109550i | ||||
\(237\) | −1724.06 | + | 2388.38i | −0.472531 | + | 0.654608i | ||||
\(238\) | 184.436 | − | 3030.00i | 0.0502319 | − | 0.825234i | ||||
\(239\) | 797.979 | − | 1657.02i | 0.215970 | − | 0.448467i | −0.764634 | − | 0.644465i | \(-0.777080\pi\) |
0.980604 | + | 0.195998i | \(0.0627945\pi\) | |||||||
\(240\) | −5892.84 | − | 601.043i | −1.58492 | − | 0.161655i | ||||
\(241\) | −2221.78 | + | 2394.51i | −0.593848 | + | 0.640016i | −0.956439 | − | 0.291933i | \(-0.905702\pi\) |
0.362591 | + | 0.931948i | \(0.381892\pi\) | |||||||
\(242\) | 6136.06 | + | 459.834i | 1.62992 | + | 0.122146i | ||||
\(243\) | −3250.98 | + | 1944.22i | −0.858234 | + | 0.513259i | ||||
\(244\) | − | 1641.46i | − | 0.430671i | ||||||
\(245\) | −5519.45 | + | 3994.03i | −1.43928 | + | 1.04151i | ||||
\(246\) | 1823.12 | + | 3363.10i | 0.472513 | + | 0.871640i | ||||
\(247\) | 1216.83 | − | 3100.42i | 0.313461 | − | 0.798685i | ||||
\(248\) | −64.4950 | + | 860.626i | −0.0165139 | + | 0.220362i | ||||
\(249\) | 4251.70 | + | 1091.27i | 1.08209 | + | 0.277737i | ||||
\(250\) | 6619.70 | − | 9709.31i | 1.67467 | − | 2.45628i | ||||
\(251\) | 391.848 | + | 188.704i | 0.0985388 | + | 0.0474538i | 0.482504 | − | 0.875894i | \(-0.339727\pi\) |
−0.383965 | + | 0.923348i | \(0.625442\pi\) | |||||||
\(252\) | 2848.02 | + | 3324.78i | 0.711938 | + | 0.831117i | ||||
\(253\) | 3686.59 | − | 1775.37i | 0.916102 | − | 0.441171i | ||||
\(254\) | −896.919 | + | 5950.67i | −0.221566 | + | 1.46999i | ||||
\(255\) | −1892.49 | + | 3674.12i | −0.464753 | + | 0.902284i | ||||
\(256\) | −3181.48 | + | 479.531i | −0.776729 | + | 0.117073i | ||||
\(257\) | 259.604 | − | 240.878i | 0.0630104 | − | 0.0584651i | −0.648039 | − | 0.761607i | \(-0.724411\pi\) |
0.711049 | + | 0.703142i | \(0.248220\pi\) | |||||||
\(258\) | 372.149 | − | 878.150i | 0.0898023 | − | 0.211904i | ||||
\(259\) | 2317.16 | + | 494.841i | 0.555912 | + | 0.118718i | ||||
\(260\) | −8847.30 | − | 7055.49i | −2.11033 | − | 1.68293i | ||||
\(261\) | 1040.19 | − | 1892.85i | 0.246689 | − | 0.448905i | ||||
\(262\) | 377.120 | − | 1222.59i | 0.0889258 | − | 0.288290i | ||||
\(263\) | 614.735 | + | 354.917i | 0.144130 | + | 0.0832134i | 0.570331 | − | 0.821415i | \(-0.306815\pi\) |
−0.426201 | + | 0.904629i | \(0.640148\pi\) | |||||||
\(264\) | 728.472 | + | 447.074i | 0.169827 | + | 0.104225i | ||||
\(265\) | −364.138 | + | 83.1120i | −0.0844105 | + | 0.0192662i | ||||
\(266\) | −2678.69 | − | 2807.05i | −0.617448 | − | 0.647036i | ||||
\(267\) | 1449.72 | + | 5190.64i | 0.332290 | + | 1.18975i | ||||
\(268\) | −4531.44 | + | 1397.77i | −1.03284 | + | 0.318590i | ||||
\(269\) | 2355.02 | + | 6000.48i | 0.533784 | + | 1.36006i | 0.902569 | + | 0.430545i | \(0.141679\pi\) |
−0.368785 | + | 0.929515i | \(0.620226\pi\) | |||||||
\(270\) | −3299.63 | − | 10919.0i | −0.743738 | − | 2.46114i | ||||
\(271\) | 570.223 | + | 1848.62i | 0.127818 | + | 0.414374i | 0.996750 | − | 0.0805563i | \(-0.0256697\pi\) |
−0.868933 | + | 0.494931i | \(0.835193\pi\) | |||||||
\(272\) | −511.384 | + | 2240.52i | −0.113997 | + | 0.499454i | ||||
\(273\) | −853.774 | − | 6203.87i | −0.189277 | − | 1.37537i | ||||
\(274\) | 575.278 | + | 2520.46i | 0.126839 | + | 0.555716i | ||||
\(275\) | 12427.0 | − | 7174.70i | 2.72499 | − | 1.57328i | ||||
\(276\) | 3495.17 | + | 93.8469i | 0.762262 | + | 0.0204671i | ||||
\(277\) | 564.667 | + | 174.177i | 0.122482 | + | 0.0377807i | 0.355390 | − | 0.934718i | \(-0.384348\pi\) |
−0.232908 | + | 0.972499i | \(0.574824\pi\) | |||||||
\(278\) | 492.581 | + | 6573.04i | 0.106270 | + | 1.41807i | ||||
\(279\) | 7158.17 | − | 2374.61i | 1.53602 | − | 0.509550i | ||||
\(280\) | −1017.04 | + | 507.449i | −0.217071 | + | 0.108307i | ||||
\(281\) | −2213.45 | + | 1765.17i | −0.469906 | + | 0.374737i | −0.829623 | − | 0.558324i | \(-0.811445\pi\) |
0.359717 | + | 0.933061i | \(0.382873\pi\) | |||||||
\(282\) | −8341.47 | − | 2820.33i | −1.76144 | − | 0.595562i | ||||
\(283\) | 351.812 | + | 2334.12i | 0.0738978 | + | 0.490280i | 0.994912 | + | 0.100750i | \(0.0321243\pi\) |
−0.921014 | + | 0.389529i | \(0.872638\pi\) | |||||||
\(284\) | 771.323 | + | 1131.32i | 0.161161 | + | 0.236379i | ||||
\(285\) | 1797.26 | + | 4967.45i | 0.373546 | + | 1.03244i | ||||
\(286\) | −6152.78 | − | 12776.4i | −1.27210 | − | 2.64155i | ||||
\(287\) | −2907.81 | − | 1624.96i | −0.598058 | − | 0.334210i | ||||
\(288\) | −3632.48 | − | 5995.66i | −0.743214 | − | 1.22673i | ||||
\(289\) | −2734.47 | − | 1864.33i | −0.556579 | − | 0.379469i | ||||
\(290\) | 4767.63 | + | 4423.71i | 0.965395 | + | 0.895756i | ||||
\(291\) | −2971.44 | + | 1333.94i | −0.598587 | + | 0.268717i | ||||
\(292\) | 1315.91 | + | 516.457i | 0.263725 | + | 0.103505i | ||||
\(293\) | −8696.84 | −1.73404 | −0.867022 | − | 0.498270i | \(-0.833969\pi\) | ||||
−0.867022 | + | 0.498270i | \(0.833969\pi\) | |||||||
\(294\) | −6973.74 | − | 2142.21i | −1.38339 | − | 0.424954i | ||||
\(295\) | 604.596 | 0.119325 | ||||||||
\(296\) | 367.964 | + | 144.415i | 0.0722549 | + | 0.0283580i | ||||
\(297\) | 1155.52 | − | 7379.13i | 0.225759 | − | 1.44169i | ||||
\(298\) | −9743.93 | − | 9041.04i | −1.89413 | − | 1.75750i | ||||
\(299\) | −4132.45 | − | 2817.46i | −0.799284 | − | 0.544942i | ||||
\(300\) | 12247.4 | − | 587.785i | 2.35701 | − | 0.113119i | ||||
\(301\) | 135.265 | + | 819.393i | 0.0259022 | + | 0.156907i | ||||
\(302\) | 3356.30 | + | 6969.42i | 0.639514 | + | 1.32796i | ||||
\(303\) | −5276.01 | + | 1908.90i | −1.00033 | + | 0.361926i | ||||
\(304\) | 1654.72 | + | 2427.03i | 0.312187 | + | 0.457895i | ||||
\(305\) | −555.053 | − | 3682.54i | −0.104204 | − | 0.691349i | ||||
\(306\) | −4361.17 | + | 751.819i | −0.814743 | + | 0.140453i | ||||
\(307\) | −4294.67 | + | 3424.89i | −0.798404 | + | 0.636706i | −0.935291 | − | 0.353881i | \(-0.884862\pi\) |
0.136887 | + | 0.990587i | \(0.456290\pi\) | |||||||
\(308\) | −8631.23 | + | 120.888i | −1.59679 | + | 0.0223643i | ||||
\(309\) | 10389.9 | + | 1852.50i | 1.91282 | + | 0.341052i | ||||
\(310\) | 1697.14 | + | 22646.7i | 0.310938 | + | 4.14918i | ||||
\(311\) | 4679.23 | + | 1443.35i | 0.853166 | + | 0.263167i | 0.690337 | − | 0.723487i | \(-0.257462\pi\) |
0.162829 | + | 0.986654i | \(0.447938\pi\) | |||||||
\(312\) | 28.0419 | − | 1044.37i | 0.00508833 | − | 0.189506i | ||||
\(313\) | 6716.37 | − | 3877.70i | 1.21288 | − | 0.700258i | 0.249496 | − | 0.968376i | \(-0.419735\pi\) |
0.963386 | + | 0.268118i | \(0.0864018\pi\) | |||||||
\(314\) | 63.5590 | + | 278.470i | 0.0114231 | + | 0.0500477i | ||||
\(315\) | 7513.65 | + | 6495.94i | 1.34396 | + | 1.16192i | ||||
\(316\) | 1104.37 | − | 4838.58i | 0.196601 | − | 0.861365i | ||||
\(317\) | −802.670 | − | 2602.19i | −0.142216 | − | 0.461053i | 0.856241 | − | 0.516576i | \(-0.172794\pi\) |
−0.998457 | + | 0.0555230i | \(0.982317\pi\) | |||||||
\(318\) | −305.886 | − | 257.666i | −0.0539409 | − | 0.0454377i | ||||
\(319\) | 1555.87 | + | 3964.30i | 0.273079 | + | 0.695793i | ||||
\(320\) | 11457.2 | − | 3534.07i | 2.00148 | − | 0.617376i | ||||
\(321\) | −5585.57 | + | 1560.02i | −0.971203 | + | 0.271253i | ||||
\(322\) | −5004.65 | + | 2983.66i | −0.866143 | + | 0.516375i | ||||
\(323\) | 1998.13 | − | 456.060i | 0.344207 | − | 0.0785630i | ||||
\(324\) | 3765.11 | − | 5153.38i | 0.645595 | − | 0.883639i | ||||
\(325\) | −15189.8 | − | 8769.83i | −2.59255 | − | 1.49681i | ||||
\(326\) | −2506.88 | + | 8127.10i | −0.425899 | + | 1.38073i | ||||
\(327\) | −1892.27 | − | 2942.12i | −0.320008 | − | 0.497553i | ||||
\(328\) | −434.478 | − | 346.485i | −0.0731404 | − | 0.0583275i | ||||
\(329\) | 7450.43 | − | 1810.65i | 1.24850 | − | 0.303418i | ||||
\(330\) | 20708.5 | + | 8775.99i | 3.45443 | + | 1.46395i | ||||
\(331\) | 1590.59 | − | 1475.85i | 0.264129 | − | 0.245076i | −0.536979 | − | 0.843596i | \(-0.680435\pi\) |
0.801108 | + | 0.598520i | \(0.204244\pi\) | |||||||
\(332\) | −7313.15 | + | 1102.28i | −1.20892 | + | 0.182215i | ||||
\(333\) | −72.9203 | − | 3453.50i | −0.0120000 | − | 0.568320i | ||||
\(334\) | −1878.38 | + | 12462.2i | −0.307726 | + | 2.04163i | ||||
\(335\) | −9693.42 | + | 4668.10i | −1.58092 | + | 0.761331i | ||||
\(336\) | 4944.90 | + | 2460.04i | 0.802876 | + | 0.399423i | ||||
\(337\) | −7588.90 | − | 3654.62i | −1.22669 | − | 0.590742i | −0.295521 | − | 0.955336i | \(-0.595493\pi\) |
−0.931166 | + | 0.364594i | \(0.881208\pi\) | |||||||
\(338\) | −4698.40 | + | 6891.29i | −0.756093 | + | 1.10898i | ||||
\(339\) | 1924.94 | − | 7499.77i | 0.308403 | − | 1.20157i | ||||
\(340\) | 520.372 | − | 6943.88i | 0.0830034 | − | 1.10760i | ||||
\(341\) | −5432.85 | + | 13842.7i | −0.862772 | + | 2.19831i | ||||
\(342\) | −3087.11 | + | 4739.94i | −0.488105 | + | 0.749434i | ||||
\(343\) | 6128.34 | − | 1672.43i | 0.964721 | − | 0.263274i | ||||
\(344\) | 138.550i | 0.0217154i | ||||||||
\(345\) | 7872.96 | − | 971.334i | 1.22860 | − | 0.151579i | ||||
\(346\) | −5735.11 | − | 429.787i | −0.891102 | − | 0.0667789i | ||||
\(347\) | 359.057 | − | 386.971i | 0.0555481 | − | 0.0598666i | −0.704666 | − | 0.709539i | \(-0.748903\pi\) |
0.760215 | + | 0.649672i | \(0.225094\pi\) | |||||||
\(348\) | −369.248 | + | 3620.24i | −0.0568786 | + | 0.557659i | ||||
\(349\) | 691.871 | − | 1436.69i | 0.106118 | − | 0.220355i | −0.841148 | − | 0.540805i | \(-0.818120\pi\) |
0.947266 | + | 0.320450i | \(0.103834\pi\) | |||||||
\(350\) | −16719.6 | + | 11745.6i | −2.55344 | + | 1.79379i | ||||
\(351\) | −8517.51 | + | 3286.66i | −1.29525 | + | 0.499797i | ||||
\(352\) | 13668.1 | + | 2060.14i | 2.06964 | + | 0.311948i | ||||
\(353\) | −1787.09 | + | 1218.42i | −0.269454 | + | 0.183710i | −0.690508 | − | 0.723325i | \(-0.742613\pi\) |
0.421054 | + | 0.907036i | \(0.361660\pi\) | |||||||
\(354\) | 389.918 | + | 516.812i | 0.0585421 | + | 0.0775939i | ||||
\(355\) | 2112.98 | + | 2277.25i | 0.315902 | + | 0.340461i | ||||
\(356\) | −5661.44 | − | 7099.22i | −0.842853 | − | 1.05690i | ||||
\(357\) | 2858.25 | − | 2584.57i | 0.423738 | − | 0.383166i | ||||
\(358\) | −3566.79 | + | 4472.61i | −0.526566 | + | 0.660293i | ||||
\(359\) | −1543.02 | + | 115.634i | −0.226846 | + | 0.0169997i | −0.187668 | − | 0.982233i | \(-0.560093\pi\) |
−0.0391777 | + | 0.999232i | \(0.512474\pi\) | |||||||
\(360\) | 1060.25 | + | 1273.41i | 0.155223 | + | 0.186430i | ||||
\(361\) | −2119.67 | + | 3671.38i | −0.309035 | + | 0.535264i | ||||
\(362\) | −2243.17 | − | 3885.29i | −0.325687 | − | 0.564106i | ||||
\(363\) | 5157.36 | + | 5866.55i | 0.745705 | + | 0.848248i | ||||
\(364\) | 5403.06 | + | 9062.84i | 0.778014 | + | 1.30501i | ||||
\(365\) | 3126.82 | + | 713.675i | 0.448397 | + | 0.102344i | ||||
\(366\) | 2789.89 | − | 2849.42i | 0.398442 | − | 0.406944i | ||||
\(367\) | 11643.1 | − | 4569.59i | 1.65604 | − | 0.649947i | 0.661088 | − | 0.750309i | \(-0.270095\pi\) |
0.994951 | + | 0.100361i | \(0.0319999\pi\) | |||||||
\(368\) | 4106.14 | − | 1611.54i | 0.581650 | − | 0.228281i | ||||
\(369\) | −1333.11 | + | 4669.64i | −0.188073 | + | 0.658785i | ||||
\(370\) | 10140.9 | + | 2314.60i | 1.42487 | + | 0.325217i | ||||
\(371\) | 345.059 | + | 47.0770i | 0.0482872 | + | 0.00658792i | ||||
\(372\) | −9543.43 | + | 8389.74i | −1.33012 | + | 1.16932i | ||||
\(373\) | −69.9198 | − | 121.105i | −0.00970593 | − | 0.0168112i | 0.861132 | − | 0.508382i | \(-0.169756\pi\) |
−0.870838 | + | 0.491571i | \(0.836423\pi\) | |||||||
\(374\) | 4363.03 | − | 7557.00i | 0.603228 | − | 1.04482i | ||||
\(375\) | 14627.3 | − | 2927.89i | 2.01427 | − | 0.403188i | ||||
\(376\) | 1275.56 | − | 95.5899i | 0.174952 | − | 0.0131108i | ||||
\(377\) | 3245.58 | − | 4069.83i | 0.443384 | − | 0.555986i | ||||
\(378\) | −707.036 | + | 10612.1i | −0.0962064 | + | 1.44399i | ||||
\(379\) | −7981.53 | − | 10008.5i | −1.08175 | − | 1.35647i | −0.929791 | − | 0.368087i | \(-0.880013\pi\) |
−0.151960 | − | 0.988387i | \(-0.548559\pi\) | |||||||
\(380\) | −6053.85 | − | 6524.50i | −0.817253 | − | 0.880789i | ||||
\(381\) | −6098.36 | + | 4601.02i | −0.820023 | + | 0.618681i | ||||
\(382\) | −3331.17 | + | 2271.15i | −0.446171 | + | 0.304194i | ||||
\(383\) | 6506.22 | + | 980.654i | 0.868021 | + | 0.130833i | 0.567929 | − | 0.823077i | \(-0.307745\pi\) |
0.300092 | + | 0.953910i | \(0.402983\pi\) | |||||||
\(384\) | 1658.83 | + | 1197.43i | 0.220447 | + | 0.159130i | ||||
\(385\) | −19322.9 | + | 3189.82i | −2.55788 | + | 0.422255i | ||||
\(386\) | −5157.78 | + | 10710.2i | −0.680114 | + | 1.41227i | ||||
\(387\) | 1117.45 | − | 466.023i | 0.146778 | − | 0.0612126i | ||||
\(388\) | 3732.67 | − | 4022.86i | 0.488395 | − | 0.526365i | ||||
\(389\) | 9668.18 | + | 724.530i | 1.26014 | + | 0.0944348i | 0.687995 | − | 0.725715i | \(-0.258491\pi\) |
0.572149 | + | 0.820150i | \(0.306110\pi\) | |||||||
\(390\) | −3366.29 | − | 27284.8i | −0.437074 | − | 3.54262i | ||||
\(391\) | − | 3077.68i | − | 0.398068i | ||||||
\(392\) | 1054.18 | − | 108.764i | 0.135827 | − | 0.0140138i | ||||
\(393\) | 1427.86 | − | 774.037i | 0.183272 | − | 0.0993511i | ||||
\(394\) | −766.829 | + | 1953.85i | −0.0980515 | + | 0.249831i | ||||
\(395\) | 841.463 | − | 11228.5i | 0.107186 | − | 1.43030i | ||||
\(396\) | 3058.66 | + | 12207.0i | 0.388140 | + | 1.54905i | ||||
\(397\) | −2986.22 | + | 4379.98i | −0.377517 | + | 0.553715i | −0.967231 | − | 0.253896i | \(-0.918288\pi\) |
0.589715 | + | 0.807612i | \(0.299240\pi\) | |||||||
\(398\) | 9753.79 | + | 4697.18i | 1.22842 | + | 0.591578i | ||||
\(399\) | 63.2375 | − | 4925.11i | 0.00793442 | − | 0.617954i | ||||
\(400\) | 13937.1 | − | 6711.74i | 1.74213 | − | 0.838968i | ||||
\(401\) | −144.277 | + | 957.215i | −0.0179672 | + | 0.119205i | −0.996017 | − | 0.0891690i | \(-0.971579\pi\) |
0.978049 | + | 0.208374i | \(0.0668170\pi\) | |||||||
\(402\) | −10241.8 | − | 5275.42i | −1.27069 | − | 0.654513i | ||||
\(403\) | 17973.7 | − | 2709.11i | 2.22168 | − | 0.334864i | ||||
\(404\) | 6929.78 | − | 6429.90i | 0.853390 | − | 0.791830i | ||||
\(405\) | 6704.24 | − | 12834.5i | 0.822559 | − | 1.57470i | ||||
\(406\) | −2707.41 | − | 5426.26i | −0.330952 | − | 0.663302i | ||||
\(407\) | 5325.08 | + | 4246.61i | 0.648536 | + | 0.517191i | ||||
\(408\) | 540.704 | − | 347.761i | 0.0656099 | − | 0.0421979i | ||||
\(409\) | −214.582 | + | 695.656i | −0.0259422 | + | 0.0841027i | −0.967618 | − | 0.252418i | \(-0.918774\pi\) |
0.941676 | + | 0.336521i | \(0.109250\pi\) | |||||||
\(410\) | −12664.2 | − | 7311.65i | −1.52546 | − | 0.880724i | ||||
\(411\) | −1716.62 | + | 2797.10i | −0.206021 | + | 0.335695i | ||||
\(412\) | −17335.9 | + | 3956.81i | −2.07301 | + | 0.473151i | ||||
\(413\) | −527.593 | − | 198.584i | −0.0628599 | − | 0.0236602i | ||||
\(414\) | 5907.76 | + | 6103.42i | 0.701330 | + | 0.724557i | ||||
\(415\) | −16034.0 | + | 4945.82i | −1.89657 | + | 0.585014i | ||||
\(416\) | −6172.66 | − | 15727.7i | −0.727499 | − | 1.85364i | ||||
\(417\) | −5390.74 | + | 6399.56i | −0.633059 | + | 0.751530i | ||||
\(418\) | −3287.56 | − | 10658.0i | −0.384689 | − | 1.24713i | ||||
\(419\) | −737.360 | + | 3230.59i | −0.0859723 | + | 0.376669i | −0.999550 | − | 0.0299948i | \(-0.990451\pi\) |
0.913578 | + | 0.406664i | \(0.133308\pi\) | |||||||
\(420\) | −15926.6 | − | 5137.56i | −1.85033 | − | 0.596874i | ||||
\(421\) | −2160.48 | − | 9465.67i | −0.250107 | − | 1.09579i | −0.931462 | − | 0.363838i | \(-0.881466\pi\) |
0.681355 | − | 0.731953i | \(-0.261391\pi\) | |||||||
\(422\) | 14137.5 | − | 8162.30i | 1.63081 | − | 0.941551i | ||||
\(423\) | −5061.41 | − | 9966.28i | −0.581783 | − | 1.14557i | ||||
\(424\) | 55.5183 | + | 17.1251i | 0.00635898 | + | 0.00196149i | ||||
\(425\) | −806.562 | − | 10762.8i | −0.0920565 | − | 1.22841i | ||||
\(426\) | −583.896 | + | 3274.84i | −0.0664081 | + | 0.372456i | ||||
\(427\) | −725.196 | + | 3395.83i | −0.0821890 | + | 0.384861i | ||||
\(428\) | 7639.37 | − | 6092.19i | 0.862763 | − | 0.688031i | ||||
\(429\) | 5765.85 | − | 17053.2i | 0.648899 | − | 1.91920i | ||||
\(430\) | 543.382 | + | 3605.10i | 0.0609400 | + | 0.404311i | ||||
\(431\) | 7704.57 | + | 11300.5i | 0.861058 | + | 1.26294i | 0.963367 | + | 0.268187i | \(0.0864245\pi\) |
−0.102309 | + | 0.994753i | \(0.532623\pi\) | |||||||
\(432\) | 1836.67 | − | 7839.54i | 0.204552 | − | 0.873102i | ||||
\(433\) | 6518.68 | + | 13536.2i | 0.723482 | + | 1.50233i | 0.859234 | + | 0.511583i | \(0.170941\pi\) |
−0.135752 | + | 0.990743i | \(0.543345\pi\) | |||||||
\(434\) | 5957.50 | − | 20319.8i | 0.658915 | − | 2.24742i | ||||
\(435\) | 395.780 | + | 8246.69i | 0.0436234 | + | 0.908962i | ||||
\(436\) | 4869.73 | + | 3320.13i | 0.534903 | + | 0.364691i | ||||
\(437\) | −2883.71 | − | 2675.69i | −0.315667 | − | 0.292896i | ||||
\(438\) | 1406.50 | + | 3133.09i | 0.153437 | + | 0.341791i | ||||
\(439\) | −1770.69 | − | 694.946i | −0.192507 | − | 0.0755534i | 0.267129 | − | 0.963661i | \(-0.413925\pi\) |
−0.459636 | + | 0.888107i | \(0.652020\pi\) | |||||||
\(440\) | −3267.26 | −0.354002 | ||||||||
\(441\) | −4423.05 | − | 8136.51i | −0.477600 | − | 0.878578i | ||||
\(442\) | −10666.1 | −1.14782 | ||||||||
\(443\) | −842.793 | − | 330.772i | −0.0903889 | − | 0.0354750i | 0.319716 | − | 0.947514i | \(-0.396413\pi\) |
−0.410105 | + | 0.912038i | \(0.634508\pi\) | |||||||
\(444\) | 2383.55 | + | 5309.52i | 0.254771 | + | 0.567520i | ||||
\(445\) | −15101.7 | − | 14012.4i | −1.60874 | − | 1.49269i | ||||
\(446\) | −10574.3 | − | 7209.47i | −1.12267 | − | 0.765422i | ||||
\(447\) | −808.883 | − | 16854.3i | −0.0855903 | − | 1.78341i | ||||
\(448\) | −11158.7 | − | 679.232i | −1.17679 | − | 0.0716310i | ||||
\(449\) | −515.844 | − | 1071.16i | −0.0542186 | − | 0.112586i | 0.872099 | − | 0.489329i | \(-0.162758\pi\) |
−0.926318 | + | 0.376743i | \(0.877044\pi\) | |||||||
\(450\) | 22259.3 | + | 19795.8i | 2.33181 | + | 2.07374i | ||||
\(451\) | −5393.97 | − | 7911.50i | −0.563175 | − | 0.826027i | ||||
\(452\) | 1944.36 | + | 12900.0i | 0.202334 | + | 1.34240i | ||||
\(453\) | −3145.23 | + | 9302.38i | −0.326216 | + | 0.964821i | ||||
\(454\) | 10775.4 | − | 8593.06i | 1.11390 | − | 0.888309i | ||||
\(455\) | 15186.1 | + | 18505.0i | 1.56469 | + | 1.90666i | ||||
\(456\) | 144.237 | − | 808.966i | 0.0148125 | − | 0.0830774i | ||||
\(457\) | 682.238 | + | 9103.84i | 0.0698332 | + | 0.931859i | 0.916577 | + | 0.399858i | \(0.130941\pi\) |
−0.846744 | + | 0.532001i | \(0.821440\pi\) | |||||||
\(458\) | −12923.1 | − | 3986.24i | −1.31846 | − | 0.406692i | ||||
\(459\) | −4623.51 | − | 3191.23i | −0.470168 | − | 0.324518i | ||||
\(460\) | −11574.9 | + | 6682.74i | −1.17322 | + | 0.677358i | ||||
\(461\) | −2709.83 | − | 11872.6i | −0.273773 | − | 1.19948i | −0.905520 | − | 0.424305i | \(-0.860519\pi\) |
0.631746 | − | 0.775175i | \(-0.282339\pi\) | |||||||
\(462\) | −15188.4 | − | 14460.1i | −1.52950 | − | 1.45616i | ||||
\(463\) | −1589.79 | + | 6965.31i | −0.159576 | + | 0.699148i | 0.830312 | + | 0.557298i | \(0.188162\pi\) |
−0.989888 | + | 0.141849i | \(0.954695\pi\) | |||||||
\(464\) | 1353.21 | + | 4386.99i | 0.135390 | + | 0.438925i | ||||
\(465\) | −18573.2 | + | 22049.0i | −1.85229 | + | 2.19892i | ||||
\(466\) | 10319.7 | + | 26294.3i | 1.02587 | + | 2.61386i | ||||
\(467\) | 3002.18 | − | 926.051i | 0.297483 | − | 0.0917613i | −0.142421 | − | 0.989806i | \(-0.545489\pi\) |
0.439904 | + | 0.898045i | \(0.355012\pi\) | |||||||
\(468\) | 11052.6 | − | 10698.3i | 1.09168 | − | 1.05668i | ||||
\(469\) | 9992.11 | − | 889.687i | 0.983780 | − | 0.0875947i | ||||
\(470\) | 32815.6 | − | 7489.94i | 3.22057 | − | 0.735075i | ||||
\(471\) | −189.659 | + | 309.035i | −0.0185542 | + | 0.0302326i | ||||
\(472\) | −81.4470 | − | 47.0234i | −0.00794259 | − | 0.00458565i | ||||
\(473\) | −703.664 | + | 2281.22i | −0.0684027 | + | 0.221756i | ||||
\(474\) | 10140.9 | − | 6522.26i | 0.982673 | − | 0.632020i | ||||
\(475\) | −10785.7 | − | 8601.33i | −1.04186 | − | 0.830855i | ||||
\(476\) | −2734.87 | + | 5888.57i | −0.263345 | + | 0.567021i | ||||
\(477\) | −48.6205 | − | 505.375i | −0.00466704 | − | 0.0485106i | ||||
\(478\) | −5518.52 | + | 5120.44i | −0.528057 | + | 0.489965i | ||||
\(479\) | 19605.1 | − | 2954.99i | 1.87010 | − | 0.281873i | 0.886569 | − | 0.462597i | \(-0.153082\pi\) |
0.983534 | + | 0.180725i | \(0.0578442\pi\) | |||||||
\(480\) | 23822.7 | + | 12270.7i | 2.26532 | + | 1.16683i | ||||
\(481\) | 1240.82 | − | 8232.32i | 0.117623 | − | 0.780377i | ||||
\(482\) | 12046.5 | − | 5801.29i | 1.13839 | − | 0.548219i | ||||
\(483\) | −7189.28 | − | 1738.31i | −0.677275 | − | 0.163760i | ||||
\(484\) | −11857.5 | − | 5710.27i | −1.11359 | − | 0.536277i | ||||
\(485\) | 7013.74 | − | 10287.3i | 0.656655 | − | 0.963135i | ||||
\(486\) | 15294.7 | − | 2546.46i | 1.42754 | − | 0.237674i | ||||
\(487\) | −939.571 | + | 12537.7i | −0.0874251 | + | 1.16661i | 0.765097 | + | 0.643915i | \(0.222691\pi\) |
−0.852522 | + | 0.522692i | \(0.824928\pi\) | |||||||
\(488\) | −211.643 | + | 539.256i | −0.0196324 | + | 0.0500225i | ||||
\(489\) | −9491.58 | + | 5145.35i | −0.877759 | + | 0.475830i | ||||
\(490\) | 27003.7 | − | 6964.51i | 2.48959 | − | 0.642091i | ||||
\(491\) | − | 13575.2i | − | 1.24774i | −0.781529 | − | 0.623869i | \(-0.785560\pi\) | ||
0.781529 | − | 0.623869i | \(-0.214440\pi\) | |||||||
\(492\) | −1001.87 | − | 8120.49i | −0.0918048 | − | 0.744106i | ||||
\(493\) | 3194.24 | + | 239.375i | 0.291808 | + | 0.0218680i | ||||
\(494\) | −9272.98 | + | 9993.90i | −0.844557 | + | 0.910216i | ||||
\(495\) | 10989.7 | + | 26351.6i | 0.997880 | + | 2.39276i | ||||
\(496\) | −6955.53 | + | 14443.3i | −0.629663 | + | 1.30751i | ||||
\(497\) | −1095.88 | − | 2681.23i | −0.0989076 | − | 0.241991i | ||||
\(498\) | −14568.4 | − | 10516.2i | −1.31089 | − | 0.946273i | ||||
\(499\) | 18640.7 | + | 2809.63i | 1.67229 | + | 0.252057i | 0.915708 | − | 0.401844i | \(-0.131631\pi\) |
0.756580 | + | 0.653901i | \(0.226869\pi\) | |||||||
\(500\) | −20766.6 | + | 14158.5i | −1.85742 | + | 1.26637i | ||||
\(501\) | −12771.6 | + | 9635.73i | −1.13890 | + | 0.859267i | ||||
\(502\) | −1210.87 | − | 1305.01i | −0.107657 | − | 0.116026i | ||||
\(503\) | −2103.19 | − | 2637.32i | −0.186435 | − | 0.233782i | 0.679827 | − | 0.733373i | \(-0.262055\pi\) |
−0.866261 | + | 0.499591i | \(0.833484\pi\) | |||||||
\(504\) | −506.955 | − | 1459.47i | −0.0448047 | − | 0.128988i | ||||
\(505\) | 13372.4 | − | 16768.4i | 1.17834 | − | 1.47759i | ||||
\(506\) | −16702.0 | + | 1251.64i | −1.46738 | + | 0.109965i | ||||
\(507\) | −10381.9 | + | 2078.10i | −0.909419 | + | 0.182035i | ||||
\(508\) | 6435.64 | − | 11146.8i | 0.562077 | − | 0.973546i | ||||
\(509\) | −2222.45 | − | 3849.40i | −0.193533 | − | 0.335209i | 0.752886 | − | 0.658151i | \(-0.228661\pi\) |
−0.946419 | + | 0.322942i | \(0.895328\pi\) | |||||||
\(510\) | 12705.4 | − | 11169.5i | 1.10315 | − | 0.969788i | ||||
\(511\) | −2494.16 | − | 1649.81i | −0.215920 | − | 0.142824i | ||||
\(512\) | 15910.4 | + | 3631.44i | 1.37333 | + | 0.313454i | ||||
\(513\) | −7009.73 | + | 1557.71i | −0.603289 | + | 0.134063i | ||||
\(514\) | −1349.39 | + | 529.598i | −0.115796 | + | 0.0454466i | ||||
\(515\) | −37554.3 | + | 14739.0i | −3.21328 | + | 1.26112i | ||||
\(516\) | −1427.14 | + | 1457.59i | −0.121756 | + | 0.124354i | ||||
\(517\) | 21487.6 | + | 4904.40i | 1.82790 | + | 0.417206i | ||||
\(518\) | −8089.10 | − | 5350.67i | −0.686129 | − | 0.453851i | ||||
\(519\) | −4820.36 | − | 5483.21i | −0.407688 | − | 0.463750i | ||||
\(520\) | 1996.83 | + | 3458.61i | 0.168398 | + | 0.291674i | ||||
\(521\) | −10636.5 | + | 18422.9i | −0.894418 | + | 1.54918i | −0.0598944 | + | 0.998205i | \(0.519076\pi\) |
−0.834523 | + | 0.550972i | \(0.814257\pi\) | |||||||
\(522\) | −6794.07 | + | 5656.80i | −0.569671 | + | 0.474313i | ||||
\(523\) | −10927.9 | + | 818.936i | −0.913662 | + | 0.0684695i | −0.523258 | − | 0.852174i | \(-0.675284\pi\) |
−0.390404 | + | 0.920644i | \(0.627665\pi\) | |||||||
\(524\) | −1706.18 | + | 2139.49i | −0.142242 | + | 0.178366i | ||||
\(525\) | −25596.9 | − | 4194.89i | −2.12789 | − | 0.348724i | ||||
\(526\) | −1811.58 | − | 2271.64i | −0.150168 | − | 0.188305i | ||||
\(527\) | 7607.76 | + | 8199.21i | 0.628841 | + | 0.677729i | ||||
\(528\) | 9562.00 | + | 12673.8i | 0.788130 | + | 1.04462i | ||||
\(529\) | 5172.01 | − | 3526.21i | 0.425085 | − | 0.289818i | ||||
\(530\) | 1511.77 | + | 227.862i | 0.123900 | + | 0.0186749i | ||||
\(531\) | −105.306 | + | 815.064i | −0.00860620 | + | 0.0666116i | ||||
\(532\) | 3139.80 | + | 7681.96i | 0.255879 | + | 0.626043i | ||||
\(533\) | −5078.25 | + | 10545.1i | −0.412689 | + | 0.856958i | ||||
\(534\) | 2238.38 | − | 21945.9i | 0.181394 | − | 1.77845i | ||||
\(535\) | 15078.5 | − | 16250.7i | 1.21850 | − | 1.31324i | ||||
\(536\) | 1668.90 | + | 125.067i | 0.134488 | + | 0.0100785i | ||||
\(537\) | −7207.42 | + | 889.222i | −0.579186 | + | 0.0714576i | ||||
\(538\) | − | 26385.5i | − | 2.11442i | ||||||
\(539\) | 17909.6 | + | 3563.18i | 1.43120 | + | 0.284744i | ||||
\(540\) | −1962.62 | + | 24317.9i | −0.156403 | + | 1.93792i | ||||
\(541\) | 1971.56 | − | 5023.45i | 0.156680 | − | 0.399215i | −0.830881 | − | 0.556450i | \(-0.812163\pi\) |
0.987561 | + | 0.157236i | \(0.0502582\pi\) | |||||||
\(542\) | 591.764 | − | 7896.54i | 0.0468975 | − | 0.625804i | ||||
\(543\) | 1415.86 | − | 5516.34i | 0.111898 | − | 0.435965i | ||||
\(544\) | 5856.66 | − | 8590.14i | 0.461585 | − | 0.677021i | ||||
\(545\) | 12047.7 | + | 5801.86i | 0.946910 | + | 0.456008i | ||||
\(546\) | −6024.35 | + | 24915.4i | −0.472195 | + | 1.95290i | ||||
\(547\) | −5201.61 | + | 2504.96i | −0.406590 | + | 0.195803i | −0.625989 | − | 0.779832i | \(-0.715305\pi\) |
0.219399 | + | 0.975635i | \(0.429590\pi\) | |||||||
\(548\) | 824.126 | − | 5467.72i | 0.0642426 | − | 0.426222i | ||||
\(549\) | 5061.16 | − | 106.866i | 0.393452 | − | 0.00830769i | ||||
\(550\) | −58079.9 | + | 8754.14i | −4.50279 | + | 0.678687i | ||||
\(551\) | 3001.32 | − | 2784.82i | 0.232052 | − | 0.215313i | ||||
\(552\) | −1136.14 | − | 481.481i | −0.0876038 | − | 0.0371254i | ||||
\(553\) | −4422.39 | + | 9522.06i | −0.340071 | + | 0.732223i | ||||
\(554\) | −1891.09 | − | 1508.09i | −0.145026 | − | 0.115655i | ||||
\(555\) | 7142.76 | + | 11105.7i | 0.546294 | + | 0.849385i | ||||
\(556\) | 4155.48 | − | 13471.7i | 0.316963 | − | 1.02757i | ||||
\(557\) | 2165.48 | + | 1250.24i | 0.164730 | + | 0.0951066i | 0.580098 | − | 0.814546i | \(-0.303014\pi\) |
−0.415369 | + | 0.909653i | \(0.636347\pi\) | |||||||
\(558\) | −30826.0 | − | 1656.58i | −2.33865 | − | 0.125678i | ||||
\(559\) | 2844.88 | − | 649.325i | 0.215251 | − | 0.0491297i | ||||
\(560\) | −21029.2 | + | 1872.42i | −1.58687 | + | 0.141293i | ||||
\(561\) | 10668.9 | − | 2979.78i | 0.802926 | − | 0.224254i | ||||
\(562\) | 11073.7 | − | 3415.77i | 0.831163 | − | 0.256380i | ||||
\(563\) | 8071.66 | + | 20566.3i | 0.604228 | + | 1.53955i | 0.825540 | + | 0.564344i | \(0.190871\pi\) |
−0.221312 | + | 0.975203i | \(0.571034\pi\) | |||||||
\(564\) | 14403.9 | + | 12133.3i | 1.07538 | + | 0.905859i | ||||
\(565\) | 8724.15 | + | 28283.0i | 0.649607 | + | 2.10597i | ||||
\(566\) | 2150.02 | − | 9419.85i | 0.159668 | − | 0.699551i | ||||
\(567\) | −10066.0 | + | 8997.82i | −0.745556 | + | 0.666442i | ||||
\(568\) | −107.529 | − | 471.116i | −0.00794334 | − | 0.0348021i | ||||
\(569\) | −14626.7 | + | 8444.73i | −1.07765 | + | 0.622182i | −0.930262 | − | 0.366897i | \(-0.880420\pi\) |
−0.147389 | + | 0.989079i | \(0.547087\pi\) | |||||||
\(570\) | 580.380 | − | 21615.2i | 0.0426481 | − | 1.58836i | ||||
\(571\) | 3942.74 | + | 1216.17i | 0.288964 | + | 0.0891336i | 0.435848 | − | 0.900020i | \(-0.356448\pi\) |
−0.146885 | + | 0.989154i | \(0.546925\pi\) | |||||||
\(572\) | 2266.58 | + | 30245.4i | 0.165683 | + | 2.21088i | ||||
\(573\) | −5038.57 | − | 898.366i | −0.367346 | − | 0.0654970i | ||||
\(574\) | 8649.64 | + | 10540.1i | 0.628971 | + | 0.766434i | ||||
\(575\) | −16196.5 | + | 12916.3i | −1.17468 | + | 0.936776i | ||||
\(576\) | 2768.76 | + | 16061.1i | 0.200287 | + | 1.16183i | ||||
\(577\) | 615.465 | + | 4083.35i | 0.0444058 | + | 0.294613i | 1.00000 | 7.25236e-5i | \(-2.30850e-5\pi\) | |
−0.955594 | + | 0.294686i | \(0.904785\pi\) | |||||||
\(578\) | 7631.21 | + | 11192.9i | 0.549164 | + | 0.805475i | ||||
\(579\) | −14190.2 | + | 5134.12i | −1.01852 | + | 0.368509i | ||||
\(580\) | −6035.58 | − | 12533.0i | −0.432093 | − | 0.897249i | ||||
\(581\) | 15616.3 | + | 950.564i | 1.11510 | + | 0.0678761i | ||||
\(582\) | 13316.9 | − | 639.114i | 0.948462 | − | 0.0455191i | ||||
\(583\) | 827.135 | + | 563.931i | 0.0587589 | + | 0.0400611i | ||||
\(584\) | −365.716 | − | 339.335i | −0.0259134 | − | 0.0240441i | ||||
\(585\) | 21178.4 | − | 27738.4i | 1.49678 | − | 1.96042i | ||||
\(586\) | 33137.7 | + | 13005.6i | 2.33602 | + | 0.916819i | ||||
\(587\) | −6194.82 | −0.435583 | −0.217792 | − | 0.975995i | \(-0.569885\pi\) | ||||
−0.217792 | + | 0.975995i | \(0.569885\pi\) | |||||||
\(588\) | 12210.7 | + | 9714.44i | 0.856396 | + | 0.681321i | ||||
\(589\) | 14296.6 | 1.00013 | ||||||||
\(590\) | −2303.70 | − | 904.135i | −0.160749 | − | 0.0630893i | ||||
\(591\) | −2430.77 | + | 1091.22i | −0.169186 | + | 0.0759507i | ||||
\(592\) | 5382.39 | + | 4994.13i | 0.373674 | + | 0.346719i | ||||
\(593\) | 1713.55 | + | 1168.28i | 0.118663 | + | 0.0809029i | 0.621197 | − | 0.783654i | \(-0.286647\pi\) |
−0.502534 | + | 0.864557i | \(0.667599\pi\) | |||||||
\(594\) | −15437.9 | + | 26388.8i | −1.06637 | + | 1.82280i | ||||
\(595\) | −4144.34 | + | 14135.5i | −0.285548 | + | 0.973948i | ||||
\(596\) | 12335.3 | + | 25614.6i | 0.847776 | + | 1.76043i | ||||
\(597\) | 4675.63 | + | 12923.0i | 0.320537 | + | 0.885933i | ||||
\(598\) | 11532.6 | + | 16915.2i | 0.788634 | + | 1.15671i | ||||
\(599\) | −2987.02 | − | 19817.6i | −0.203750 | − | 1.35179i | −0.823643 | − | 0.567108i | \(-0.808062\pi\) |
0.619893 | − | 0.784686i | \(-0.287176\pi\) | |||||||
\(600\) | −4099.33 | − | 1386.02i | −0.278924 | − | 0.0943070i | ||||
\(601\) | −18946.0 | + | 15108.9i | −1.28590 | + | 1.02547i | −0.288204 | + | 0.957569i | \(0.593058\pi\) |
−0.997692 | + | 0.0678985i | \(0.978371\pi\) | |||||||
\(602\) | 709.948 | − | 3324.43i | 0.0480653 | − | 0.225072i | ||||
\(603\) | −4604.78 | − | 13880.9i | −0.310980 | − | 0.937436i | ||||
\(604\) | −1236.40 | − | 16498.7i | −0.0832923 | − | 1.11146i | ||||
\(605\) | −28532.6 | − | 8801.15i | −1.91738 | − | 0.591434i | ||||
\(606\) | 22957.9 | + | 616.431i | 1.53895 | + | 0.0413215i | ||||
\(607\) | 929.530 | − | 536.664i | 0.0621556 | − | 0.0358856i | −0.468600 | − | 0.883410i | \(-0.655241\pi\) |
0.530756 | + | 0.847525i | \(0.321908\pi\) | |||||||
\(608\) | −2957.06 | − | 12955.7i | −0.197244 | − | 0.864183i | ||||
\(609\) | 2363.31 | − | 7326.37i | 0.157252 | − | 0.487487i | ||||
\(610\) | −3392.08 | + | 14861.7i | −0.225150 | + | 0.986445i | ||||
\(611\) | −7940.80 | − | 25743.4i | −0.525778 | − | 1.70453i | ||||
\(612\) | 9270.51 | + | 1910.98i | 0.612317 | + | 0.126220i | ||||
\(613\) | −2424.66 | − | 6177.93i | −0.159757 | − | 0.407054i | 0.828473 | − | 0.560029i | \(-0.189210\pi\) |
−0.988230 | + | 0.152974i | \(0.951115\pi\) | |||||||
\(614\) | 21485.8 | − | 6627.48i | 1.41221 | − | 0.435608i | ||||
\(615\) | −4993.56 | − | 17879.1i | −0.327414 | − | 1.17229i | ||||
\(616\) | 2851.14 | + | 1073.16i | 0.186486 | + | 0.0701927i | ||||
\(617\) | −20013.0 | + | 4567.84i | −1.30583 | + | 0.298046i | −0.818163 | − | 0.574986i | \(-0.805007\pi\) |
−0.487662 | + | 0.873032i | \(0.662150\pi\) | |||||||
\(618\) | −36818.6 | − | 22596.1i | −2.39654 | − | 1.47079i | ||||
\(619\) | −20903.8 | − | 12068.8i | −1.35734 | − | 0.783660i | −0.368075 | − | 0.929796i | \(-0.619983\pi\) |
−0.989264 | + | 0.146136i | \(0.953316\pi\) | |||||||
\(620\) | 14317.3 | − | 46415.5i | 0.927413 | − | 3.00660i | ||||
\(621\) | −61.8110 | + | 10782.8i | −0.00399419 | + | 0.696780i | ||||
\(622\) | −15670.9 | − | 12497.1i | −1.01020 | − | 0.805609i | ||||
\(623\) | 8575.87 | + | 17188.0i | 0.551500 | + | 1.10533i | ||||
\(624\) | 7572.15 | − | 17867.8i | 0.485783 | − | 1.14629i | ||||
\(625\) | −17103.5 | + | 15869.7i | −1.09462 | + | 1.01566i | ||||
\(626\) | −31390.4 | + | 4731.34i | −2.00417 | + | 0.302080i | ||||
\(627\) | 6483.43 | − | 12587.1i | 0.412956 | − | 0.801723i | ||||
\(628\) | 91.0529 | − | 604.097i | 0.00578568 | − | 0.0383855i | ||||
\(629\) | 4615.63 | − | 2222.77i | 0.292587 | − | 0.140902i | ||||
\(630\) | −18915.1 | − | 35987.8i | −1.19618 | − | 2.27585i | ||||
\(631\) | −37.3044 | − | 17.9649i | −0.00235351 | − | 0.00113339i | 0.432707 | − | 0.901535i | \(-0.357559\pi\) |
−0.435060 | + | 0.900401i | \(0.643273\pi\) | |||||||
\(632\) | −986.675 | + | 1447.19i | −0.0621010 | + | 0.0910854i | ||||
\(633\) | 20072.5 | + | 5151.94i | 1.26036 | + | 0.323493i | ||||
\(634\) | −832.993 | + | 11115.5i | −0.0521804 | + | 0.696299i | ||||
\(635\) | 10668.8 | − | 27183.6i | 0.666736 | − | 1.69881i | ||||
\(636\) | 407.673 | + | 752.031i | 0.0254171 | + | 0.0468867i | ||||
\(637\) | −7173.81 | − | 21136.1i | −0.446211 | − | 1.31467i | ||||
\(638\) | − | 17431.9i | − | 1.08172i | ||||||
\(639\) | −3438.02 | + | 2451.89i | −0.212842 | + | 0.151792i | ||||
\(640\) | −7798.67 | − | 584.429i | −0.481671 | − | 0.0360962i | ||||
\(641\) | 4047.72 | − | 4362.41i | 0.249416 | − | 0.268806i | −0.595918 | − | 0.803046i | \(-0.703211\pi\) |
0.845333 | + | 0.534240i | \(0.179402\pi\) | |||||||
\(642\) | 23615.7 | + | 2408.69i | 1.45177 | + | 0.148074i | ||||
\(643\) | 12998.2 | − | 26991.0i | 0.797197 | − | 1.65540i | 0.0427036 | − | 0.999088i | \(-0.486403\pi\) |
0.754493 | − | 0.656308i | \(-0.227883\pi\) | |||||||
\(644\) | 12295.6 | − | 2029.77i | 0.752354 | − | 0.124199i | ||||
\(645\) | −2708.83 | + | 3752.60i | −0.165364 | + | 0.229083i | ||||
\(646\) | −8295.51 | − | 1250.35i | −0.505236 | − | 0.0761520i | ||||
\(647\) | −6738.61 | + | 4594.31i | −0.409462 | + | 0.279167i | −0.750484 | − | 0.660889i | \(-0.770180\pi\) |
0.341021 | + | 0.940056i | \(0.389227\pi\) | |||||||
\(648\) | −1901.38 | + | 1207.54i | −0.115267 | + | 0.0732050i | ||||
\(649\) | −1102.20 | − | 1187.89i | −0.0666646 | − | 0.0718473i | ||||
\(650\) | 44763.2 | + | 56131.2i | 2.70116 | + | 3.38715i | ||||
\(651\) | 23449.9 | − | 13140.3i | 1.41179 | − | 0.791103i | ||||
\(652\) | 11341.7 | − | 14222.1i | 0.681252 | − | 0.854263i | ||||
\(653\) | −20846.4 | + | 1562.22i | −1.24928 | + | 0.0936208i | −0.682894 | − | 0.730517i | \(-0.739279\pi\) |
−0.566389 | + | 0.824138i | \(0.691660\pi\) | |||||||
\(654\) | 2810.37 | + | 14040.2i | 0.168034 | + | 0.839472i | ||||
\(655\) | −3104.28 | + | 5376.77i | −0.185182 | + | 0.320745i | ||||
\(656\) | −5161.20 | − | 8939.47i | −0.307182 | − | 0.532054i | ||||
\(657\) | −1506.73 | + | 4091.00i | −0.0894722 | + | 0.242930i | ||||
\(658\) | −31096.2 | − | 4242.51i | −1.84233 | − | 0.251353i | ||||
\(659\) | −6542.54 | − | 1493.29i | −0.386739 | − | 0.0882707i | 0.0247306 | − | 0.999694i | \(-0.492127\pi\) |
−0.411470 | + | 0.911423i | \(0.634984\pi\) | |||||||
\(660\) | −34372.7 | − | 33654.6i | −2.02721 | − | 1.98485i | ||||
\(661\) | 2610.03 | − | 1024.36i | 0.153583 | − | 0.0602768i | −0.287304 | − | 0.957839i | \(-0.592759\pi\) |
0.440887 | + | 0.897563i | \(0.354664\pi\) | |||||||
\(662\) | −8267.69 | + | 3244.83i | −0.485397 | + | 0.190504i | ||||
\(663\) | −9674.74 | − | 9472.61i | −0.566720 | − | 0.554880i | ||||
\(664\) | 2544.65 | + | 580.801i | 0.148722 | + | 0.0339449i | ||||
\(665\) | 9641.60 | + | 16172.4i | 0.562233 | + | 0.943064i | ||||
\(666\) | −4886.65 | + | 13268.0i | −0.284315 | + | 0.771957i | ||||
\(667\) | −3074.11 | − | 5324.52i | −0.178456 | − | 0.309095i | ||||
\(668\) | 13477.9 | − | 23344.4i | 0.780652 | − | 1.35213i | ||||
\(669\) | −3188.75 | − | 15930.5i | −0.184281 | − | 0.920640i | ||||
\(670\) | 43915.8 | − | 3291.04i | 2.53226 | − | 0.189767i | ||||
\(671\) | −6223.47 | + | 7803.98i | −0.358054 | + | 0.448986i | ||||
\(672\) | −16758.2 | − | 18532.7i | −0.961995 | − | 1.06386i | ||||
\(673\) | 6502.38 | + | 8153.72i | 0.372434 | + | 0.467018i | 0.932363 | − | 0.361523i | \(-0.117743\pi\) |
−0.559929 | + | 0.828541i | \(0.689172\pi\) | |||||||
\(674\) | 23450.8 | + | 25274.0i | 1.34020 | + | 1.44439i | ||||
\(675\) | 2609.68 | + | 37724.4i | 0.148810 | + | 2.15113i | ||||
\(676\) | 14739.4 | − | 10049.1i | 0.838607 | − | 0.571752i | ||||
\(677\) | 171.323 | + | 25.8228i | 0.00972595 | + | 0.00146595i | 0.153903 | − | 0.988086i | \(-0.450816\pi\) |
−0.144177 | + | 0.989552i | \(0.546054\pi\) | |||||||
\(678\) | −18550.1 | + | 25697.8i | −1.05075 | + | 1.45563i | ||||
\(679\) | −9499.38 | + | 6673.34i | −0.536896 | + | 0.377171i | ||||
\(680\) | −1066.27 | + | 2214.12i | −0.0601315 | + | 0.124864i | ||||
\(681\) | 17405.4 | + | 1775.27i | 0.979405 | + | 0.0998947i | ||||
\(682\) | 41401.7 | − | 44620.5i | 2.32457 | − | 2.50529i | ||||
\(683\) | −4364.60 | − | 327.081i | −0.244519 | − | 0.0183242i | −0.0480933 | − | 0.998843i | \(-0.515314\pi\) |
−0.196426 | + | 0.980519i | \(0.562934\pi\) | |||||||
\(684\) | 9850.21 | − | 7024.87i | 0.550632 | − | 0.392694i | ||||
\(685\) | − | 12545.2i | − | 0.699750i | ||||||
\(686\) | −25851.9 | − | 2792.06i | −1.43882 | − | 0.155395i | ||||
\(687\) | −8181.73 | − | 15092.8i | −0.454370 | − | 0.838173i | ||||
\(688\) | −940.221 | + | 2395.64i | −0.0521011 | + | 0.132752i | ||||
\(689\) | 91.4437 | − | 1220.23i | 0.00505621 | − | 0.0674704i | ||||
\(690\) | −31451.0 | − | 8072.44i | −1.73525 | − | 0.445381i | ||||
\(691\) | −8915.18 | + | 13076.2i | −0.490810 | + | 0.719886i | −0.989120 | − | 0.147113i | \(-0.953002\pi\) |
0.498310 | + | 0.866999i | \(0.333954\pi\) | |||||||
\(692\) | 11082.7 | + | 5337.14i | 0.608816 | + | 0.293190i | ||||
\(693\) | −934.663 | − | 26605.0i | −0.0512336 | − | 1.45836i | ||||
\(694\) | −1946.81 | + | 937.535i | −0.106484 | + | 0.0512800i | ||||
\(695\) | 4767.20 | − | 31628.3i | 0.260188 | − | 1.72623i | ||||
\(696\) | 588.083 | − | 1141.72i | 0.0320277 | − | 0.0621793i | ||||
\(697\) | −7121.70 | + | 1073.42i | −0.387021 | + | 0.0583340i | ||||
\(698\) | −4784.72 | + | 4439.57i | −0.259462 | + | 0.240746i | ||||
\(699\) | −13991.5 | + | 33015.3i | −0.757091 | + | 1.78649i | ||||
\(700\) | 42466.7 | − | 10320.5i | 2.29298 | − | 0.557255i | ||||
\(701\) | −5202.57 | − | 4148.91i | −0.280311 | − | 0.223541i | 0.473234 | − | 0.880937i | \(-0.343087\pi\) |
−0.753545 | + | 0.657396i | \(0.771658\pi\) | |||||||
\(702\) | 37369.4 | + | 214.215i | 2.00914 | + | 0.0115171i | ||||
\(703\) | 1930.09 | − | 6257.18i | 0.103548 | − | 0.335696i | ||||
\(704\) | −27830.6 | − | 16068.0i | −1.48992 | − | 0.860206i | ||||
\(705\) | 36417.3 | + | 22349.9i | 1.94547 | + | 1.19396i | ||||
\(706\) | 8631.44 | − | 1970.07i | 0.460125 | − | 0.105021i | ||||
\(707\) | −17176.9 | + | 10240.5i | −0.913728 | + | 0.544743i | ||||
\(708\) | −372.482 | − | 1333.65i | −0.0197722 | − | 0.0707933i | ||||
\(709\) | −24852.8 | + | 7666.09i | −1.31646 | + | 0.406073i | −0.871903 | − | 0.489679i | \(-0.837114\pi\) |
−0.444554 | + | 0.895752i | \(0.646638\pi\) | |||||||
\(710\) | −4645.62 | − | 11836.9i | −0.245559 | − | 0.625675i | ||||
\(711\) | 14990.8 | + | 3090.13i | 0.790715 | + | 0.162994i | ||||
\(712\) | 944.567 | + | 3062.21i | 0.0497179 | + | 0.161181i | ||||
\(713\) | 4777.21 | − | 20930.3i | 0.250923 | − | 1.09936i | ||||
\(714\) | −14755.9 | + | 5573.71i | −0.773425 | + | 0.292144i | ||||
\(715\) | 15312.3 | + | 67087.7i | 0.800907 | + | 3.50900i | ||||
\(716\) | 10596.4 | − | 6117.81i | 0.553079 | − | 0.319320i | ||||
\(717\) | −9553.08 | − | 256.505i | −0.497582 | − | 0.0133603i | ||||
\(718\) | 6052.32 | + | 1866.89i | 0.314583 | + | 0.0970361i | ||||
\(719\) | 1610.60 | + | 21492.0i | 0.0835401 | + | 1.11476i | 0.868656 | + | 0.495416i | \(0.164984\pi\) |
−0.785116 | + | 0.619349i | \(0.787397\pi\) | |||||||
\(720\) | 9691.12 | + | 29213.5i | 0.501620 | + | 1.51211i | ||||
\(721\) | 37612.4 | − | 526.793i | 1.94280 | − | 0.0272105i | ||||
\(722\) | 13566.9 | − | 10819.3i | 0.699320 | − | 0.557689i | ||||
\(723\) | 16079.0 | + | 5436.46i | 0.827087 | + | 0.279646i | ||||
\(724\) | 1430.15 | + | 9488.39i | 0.0734129 | + | 0.487063i | ||||
\(725\) | −12145.7 | − | 17814.5i | −0.622182 | − | 0.912573i | ||||
\(726\) | −10878.1 | − | 30065.9i | −0.556093 | − | 1.53698i | ||||
\(727\) | −992.004 | − | 2059.92i | −0.0506071 | − | 0.105087i | 0.874132 | − | 0.485689i | \(-0.161431\pi\) |
−0.924739 | + | 0.380602i | \(0.875717\pi\) | |||||||
\(728\) | −606.503 | − | 3673.99i | −0.0308770 | − | 0.187043i | ||||
\(729\) | 16134.7 | + | 11273.5i | 0.819726 | + | 0.572755i | ||||
\(730\) | −10846.9 | − | 7395.29i | −0.549947 | − | 0.374948i | ||||
\(731\) | 1316.27 | + | 1221.32i | 0.0665994 | + | 0.0617952i | ||||
\(732\) | −7781.18 | + | 3493.12i | −0.392897 | + | 0.176379i | ||||
\(733\) | 772.417 | + | 303.151i | 0.0389220 | + | 0.0152758i | 0.384722 | − | 0.923032i | \(-0.374297\pi\) |
−0.345800 | + | 0.938308i | \(0.612392\pi\) | |||||||
\(734\) | −51197.5 | −2.57457 | ||||||||
\(735\) | 30679.0 | + | 17664.9i | 1.53961 | + | 0.886501i | ||||
\(736\) | −19955.4 | −0.999411 | ||||||||
\(737\) | 26843.3 | + | 10535.2i | 1.34164 | + | 0.526553i | ||||
\(738\) | 12062.7 | − | 15799.2i | 0.601674 | − | 0.788045i | ||||
\(739\) | 7683.28 | + | 7129.04i | 0.382454 | + | 0.354866i | 0.847849 | − | 0.530237i | \(-0.177897\pi\) |
−0.465395 | + | 0.885103i | \(0.654088\pi\) | |||||||
\(740\) | −18381.8 | − | 12532.5i | −0.913147 | − | 0.622573i | ||||
\(741\) | −17286.7 | + | 829.634i | −0.857008 | + | 0.0411300i | ||||
\(742\) | −1244.38 | − | 695.392i | −0.0615670 | − | 0.0344052i | ||||
\(743\) | 8593.74 | + | 17845.1i | 0.424325 | + | 0.881121i | 0.998071 | + | 0.0620871i | \(0.0197757\pi\) |
−0.573745 | + | 0.819034i | \(0.694510\pi\) | |||||||
\(744\) | 4216.96 | − | 1525.73i | 0.207797 | − | 0.0751827i | ||||
\(745\) | 36335.1 | + | 53293.8i | 1.78687 | + | 2.62085i | ||||
\(746\) | 85.3120 | + | 566.008i | 0.00418699 | + | 0.0277788i | ||||
\(747\) | −3874.80 | − | 22477.0i | −0.189788 | − | 1.10093i | ||||
\(748\) | −14591.8 | + | 11636.6i | −0.713275 | + | 0.568818i | ||||
\(749\) | −18495.7 | + | 9228.36i | −0.902295 | + | 0.450196i | ||||
\(750\) | −60113.1 | − | 10718.0i | −2.92669 | − | 0.521823i | ||||
\(751\) | 1329.97 | + | 17747.2i | 0.0646220 | + | 0.862321i | 0.931486 | + | 0.363777i | \(0.118513\pi\) |
−0.866864 | + | 0.498544i | \(0.833868\pi\) | |||||||
\(752\) | 22704.2 | + | 7003.33i | 1.10098 | + | 0.339608i | ||||
\(753\) | 60.6576 | − | 2259.09i | 0.00293557 | − | 0.109330i | ||||
\(754\) | −18452.8 | + | 10653.8i | −0.891264 | + | 0.514572i | ||||
\(755\) | −8352.76 | − | 36595.8i | −0.402633 | − | 1.76405i | ||||
\(756\) | 9700.04 | − | 20576.1i | 0.466650 | − | 0.989873i | ||||
\(757\) | −3550.08 | + | 15553.9i | −0.170449 | + | 0.746785i | 0.815366 | + | 0.578946i | \(0.196536\pi\) |
−0.985814 | + | 0.167839i | \(0.946321\pi\) | |||||||
\(758\) | 15445.0 | + | 50071.5i | 0.740090 | + | 2.39931i | ||||
\(759\) | −16261.2 | − | 13697.8i | −0.777661 | − | 0.655071i | ||||
\(760\) | 1147.59 | + | 2924.00i | 0.0547727 | + | 0.139559i | ||||
\(761\) | −26209.1 | + | 8084.44i | −1.24846 | + | 0.385100i | −0.847402 | − | 0.530952i | \(-0.821834\pi\) |
−0.401060 | + | 0.916052i | \(0.631358\pi\) | |||||||
\(762\) | 30117.2 | − | 8411.60i | 1.43180 | − | 0.399895i | ||||
\(763\) | −8607.59 | − | 9020.06i | −0.408408 | − | 0.427979i | ||||
\(764\) | 8407.01 | − | 1918.84i | 0.398108 | − | 0.0908657i | ||||
\(765\) | 21444.1 | + | 1152.40i | 1.01348 | + | 0.0544642i | ||||
\(766\) | −23324.2 | − | 13466.2i | −1.10018 | − | 0.635190i | ||||
\(767\) | −583.837 | + | 1892.75i | −0.0274852 | + | 0.0891048i | ||||
\(768\) | 9043.54 | + | 14061.0i | 0.424910 | + | 0.660656i | ||||
\(769\) | −2843.78 | − | 2267.84i | −0.133354 | − | 0.106347i | 0.554541 | − | 0.832156i | \(-0.312894\pi\) |
−0.687895 | + | 0.725810i | \(0.741465\pi\) | |||||||
\(770\) | 78396.3 | + | 16741.9i | 3.66910 | + | 0.783555i | ||||
\(771\) | −1694.31 | − | 718.027i | −0.0791428 | − | 0.0335397i | ||||
\(772\) | 18638.1 | − | 17293.6i | 0.868913 | − | 0.806233i | ||||
\(773\) | −5118.58 | + | 771.501i | −0.238166 | + | 0.0358978i | −0.267041 | − | 0.963685i | \(-0.586046\pi\) |
0.0288745 | + | 0.999583i | \(0.490808\pi\) | |||||||
\(774\) | −4954.74 | + | 104.619i | −0.230096 | + | 0.00485845i | ||||
\(775\) | 11221.0 | − | 74446.6i | 0.520091 | − | 3.45058i | ||||
\(776\) | −1744.95 | + | 840.325i | −0.0807218 | + | 0.0388736i | ||||
\(777\) | −2585.30 | − | 12037.3i | −0.119366 | − | 0.555773i | ||||
\(778\) | −35755.3 | − | 17218.9i | −1.64767 | − | 0.793478i | ||||
\(779\) | −5185.74 | + | 7606.08i | −0.238509 | + | 0.349828i | ||||
\(780\) | −14618.3 | + | 56954.2i | −0.671049 | + | 2.61447i | ||||
\(781\) | 622.227 | − | 8303.05i | 0.0285084 | − | 0.380418i | ||||
\(782\) | −4602.47 | + | 11726.9i | −0.210466 | + | 0.536258i | ||||
\(783\) | −11186.4 | − | 902.818i | −0.510562 | − | 0.0412057i | ||||
\(784\) | 18965.9 | + | 5273.25i | 0.863970 | + | 0.240217i | ||||
\(785\) | − | 1386.05i | − | 0.0630194i | ||||||
\(786\) | −6598.12 | + | 814.049i | −0.299424 | + | 0.0369417i | ||||
\(787\) | −20316.2 | − | 1522.49i | −0.920198 | − | 0.0689593i | −0.393799 | − | 0.919197i | \(-0.628839\pi\) |
−0.526399 | + | 0.850237i | \(0.676458\pi\) | |||||||
\(788\) | 3053.49 | − | 3290.88i | 0.138041 | − | 0.148773i | ||||
\(789\) | 374.259 | − | 3669.37i | 0.0168872 | − | 0.165568i | ||||
\(790\) | −19997.8 | + | 41525.9i | −0.900621 | + | 1.87016i | ||||
\(791\) | 1676.74 | − | 27546.3i | 0.0753705 | − | 1.23822i | ||||
\(792\) | 569.079 | − | 4404.64i | 0.0255320 | − | 0.197616i | ||||
\(793\) | 12064.6 | + | 1818.44i | 0.540260 | + | 0.0814311i | ||||
\(794\) | 17928.4 | − | 12223.4i | 0.801330 | − | 0.546338i | ||||
\(795\) | 1168.89 | + | 1549.29i | 0.0521462 | + | 0.0691165i | ||||
\(796\) | −15749.3 | − | 16973.7i | −0.701279 | − | 0.755799i | ||||
\(797\) | −20916.8 | − | 26228.8i | −0.929624 | − | 1.16571i | −0.985907 | − | 0.167297i | \(-0.946496\pi\) |
0.0562821 | − | 0.998415i | \(-0.482075\pi\) | |||||||
\(798\) | −7606.15 | + | 18671.6i | −0.337412 | + | 0.828282i | ||||
\(799\) | 10336.0 | − | 12960.9i | 0.457649 | − | 0.573874i | ||||
\(800\) | −69785.3 | + | 5229.69i | −3.08410 | + | 0.231122i | ||||
\(801\) | 21520.6 | − | 17918.2i | 0.949305 | − | 0.790399i | ||||
\(802\) | 1981.20 | − | 3431.53i | 0.0872301 | − | 0.151087i | ||||
\(803\) | −4298.11 | − | 7444.55i | −0.188888 | − | 0.327164i | ||||
\(804\) | 16269.1 | + | 18506.3i | 0.713642 | + | 0.811776i | ||||
\(805\) | 26898.3 | − | 8711.39i | 1.17769 | − | 0.381412i | ||||
\(806\) | −72536.9 | − | 16556.1i | −3.16998 | − | 0.723527i | ||||
\(807\) | 23433.1 | − | 23933.1i | 1.02216 | − | 1.04397i | ||||
\(808\) | −3105.63 | + | 1218.87i | −0.135217 | + | 0.0530689i | ||||
\(809\) | 34636.6 | − | 13593.8i | 1.50526 | − | 0.590772i | 0.537639 | − | 0.843175i | \(-0.319316\pi\) |
0.967622 | + | 0.252403i | \(0.0812210\pi\) | |||||||
\(810\) | −44738.5 | + | 38877.8i | −1.94068 | + | 1.68645i | ||||
\(811\) | −14292.2 | − | 3262.11i | −0.618827 | − | 0.141243i | −0.0983965 | − | 0.995147i | \(-0.531371\pi\) |
−0.520430 | + | 0.853904i | \(0.674228\pi\) | |||||||
\(812\) | 1150.31 | + | 12919.2i | 0.0497143 | + | 0.558343i | ||||
\(813\) | 7549.71 | − | 6637.04i | 0.325683 | − | 0.286311i | ||||
\(814\) | −13939.7 | − | 24144.2i | −0.600228 | − | 1.03963i | ||||
\(815\) | 20635.5 | − | 35741.6i | 0.886906 | − | 1.53617i | ||||
\(816\) | 11709.2 | − | 2343.79i | 0.502334 | − | 0.100550i | ||||
\(817\) | 2288.71 | − | 171.515i | 0.0980069 | − | 0.00734460i | ||||
\(818\) | 1857.93 | − | 2329.78i | 0.0794146 | − | 0.0995828i | ||||
\(819\) | −27591.9 | + | 17249.4i | −1.17722 | + | 0.735950i | ||||
\(820\) | 19500.8 | + | 24453.2i | 0.830485 | + | 1.04140i | ||||
\(821\) | −11756.4 | − | 12670.4i | −0.499758 | − | 0.538611i | 0.431912 | − | 0.901916i | \(-0.357839\pi\) |
−0.931670 | + | 0.363304i | \(0.881648\pi\) | |||||||
\(822\) | 10723.7 | − | 8090.72i | 0.455028 | − | 0.343304i | ||||
\(823\) | 10190.6 | − | 6947.84i | 0.431619 | − | 0.294273i | −0.327956 | − | 0.944693i | \(-0.606360\pi\) |
0.759574 | + | 0.650420i | \(0.225407\pi\) | |||||||
\(824\) | 6205.41 | + | 935.315i | 0.262349 | + | 0.0395427i | ||||
\(825\) | −60456.2 | − | 43640.5i | −2.55129 | − | 1.84166i | ||||
\(826\) | 1713.32 | + | 1545.65i | 0.0721721 | + | 0.0651090i | ||||
\(827\) | −17908.5 | + | 37187.4i | −0.753012 | + | 1.56364i | 0.0712650 | + | 0.997457i | \(0.477296\pi\) |
−0.824277 | + | 0.566187i | \(0.808418\pi\) | |||||||
\(828\) | −6993.04 | − | 16768.2i | −0.293508 | − | 0.703786i | ||||
\(829\) | −14186.5 | + | 15289.4i | −0.594351 | + | 0.640558i | −0.956559 | − | 0.291539i | \(-0.905833\pi\) |
0.362208 | + | 0.932097i | \(0.382023\pi\) | |||||||
\(830\) | 68490.6 | + | 5132.66i | 2.86427 | + | 0.214647i | ||||
\(831\) | −375.976 | − | 3047.40i | −0.0156949 | − | 0.127212i | ||||
\(832\) | 39280.7i | 1.63679i | ||||||||
\(833\) | 8259.41 | − | 10973.9i | 0.343543 | − | 0.456451i | ||||
\(834\) | 30110.6 | − | 16322.8i | 1.25017 | − | 0.677714i | ||||
\(835\) | 22343.2 | − | 56929.5i | 0.926009 | − | 2.35943i | ||||
\(836\) | −1782.73 | + | 23788.9i | −0.0737525 | + | 0.984159i | ||||
\(837\) | −26489.6 | − | 28879.3i | −1.09392 | − | 1.19261i | ||||
\(838\) | 7640.72 | − | 11206.9i | 0.314969 | − | 0.461975i | ||||
\(839\) | 41407.2 | + | 19940.7i | 1.70386 | + | 0.820534i | 0.993123 | + | 0.117073i | \(0.0373512\pi\) |
0.710734 | + | 0.703461i | \(0.248363\pi\) | |||||||
\(840\) | 4569.83 | + | 3741.31i | 0.187707 | + | 0.153675i | ||||
\(841\) | −16208.5 | + | 7805.58i | −0.664581 | + | 0.320045i | ||||
\(842\) | −5923.22 | + | 39298.0i | −0.242432 | + | 1.60843i | ||||
\(843\) | 13078.0 | + | 6736.27i | 0.534316 | + | 0.275219i | ||||
\(844\) | −34525.7 | + | 5203.91i | −1.40808 | + | 0.212235i | ||||
\(845\) | 29668.9 | − | 27528.7i | 1.20786 | − | 1.12073i | ||||
\(846\) | 4381.61 | + | 45543.7i | 0.178065 | + | 1.85086i | ||||
\(847\) | 22007.8 | + | 17052.0i | 0.892795 | + | 0.691750i | ||||
\(848\) | 843.746 | + | 672.865i | 0.0341679 | + | 0.0272480i | ||||
\(849\) | 10316.0 | − | 6634.87i | 0.417013 | − | 0.268208i | ||||
\(850\) | −13021.9 | + | 42215.9i | −0.525467 | + | 1.70352i | ||||
\(851\) | −8515.65 | − | 4916.51i | −0.343023 | − | 0.198045i | ||||
\(852\) | 3721.50 | − | 6063.90i | 0.149644 | − | 0.243833i | ||||
\(853\) | −11820.0 | + | 2697.83i | −0.474452 | + | 0.108291i | −0.453059 | − | 0.891481i | \(-0.649667\pi\) |
−0.0213932 | + | 0.999771i | \(0.506810\pi\) | |||||||
\(854\) | 7841.48 | − | 11854.7i | 0.314204 | − | 0.475011i | ||||
\(855\) | 19723.0 | − | 19090.8i | 0.788904 | − | 0.763614i | ||||
\(856\) | −3295.20 | + | 1016.43i | −0.131574 | + | 0.0405853i | ||||
\(857\) | 5704.05 | + | 14533.7i | 0.227359 | + | 0.579302i | 0.998342 | − | 0.0575538i | \(-0.0183301\pi\) |
−0.770983 | + | 0.636855i | \(0.780235\pi\) | |||||||
\(858\) | −47471.7 | + | 56355.5i | −1.88888 | + | 2.24236i | ||||
\(859\) | −1938.69 | − | 6285.06i | −0.0770048 | − | 0.249643i | 0.908883 | − | 0.417051i | \(-0.136936\pi\) |
−0.985888 | + | 0.167408i | \(0.946460\pi\) | |||||||
\(860\) | 1735.18 | − | 7602.32i | 0.0688013 | − | 0.301438i | ||||
\(861\) | −1514.97 | + | 17242.2i | −0.0599651 | + | 0.682476i | ||||
\(862\) | −12457.6 | − | 54580.2i | −0.492236 | − | 2.15662i | ||||
\(863\) | −25183.1 | + | 14539.5i | −0.993331 | + | 0.573500i | −0.906268 | − | 0.422703i | \(-0.861081\pi\) |
−0.0870624 | + | 0.996203i | \(0.527748\pi\) | |||||||
\(864\) | −20691.7 | + | 29978.5i | −0.814752 | + | 1.18043i | ||||
\(865\) | 26668.2 | + | 8226.05i | 1.04826 | + | 0.323346i | ||||
\(866\) | −4595.70 | − | 61325.4i | −0.180333 | − | 2.40637i | ||||
\(867\) | −3018.57 | + | 16929.9i | −0.118242 | + | 0.663172i | ||||
\(868\) | −27739.3 | + | 35801.3i | −1.08472 | + | 1.39997i | ||||
\(869\) | −23595.6 | + | 18816.8i | −0.921088 | + | 0.734543i | ||||
\(870\) | 10824.4 | − | 32014.4i | 0.421817 | − | 1.24757i | ||||
\(871\) | −5253.42 | − | 34854.1i | −0.204369 | − | 1.35590i | ||||
\(872\) | −1171.73 | − | 1718.61i | −0.0455044 | − | 0.0667427i | ||||
\(873\) | 12646.8 | + | 11247.1i | 0.490296 | + | 0.436033i | ||||
\(874\) | 6986.51 | + | 14507.6i | 0.270392 | + | 0.561474i | ||||
\(875\) | 49216.9 | − | 20116.1i | 1.90153 | − | 0.777198i | ||||
\(876\) | −352.121 | − | 7336.99i | −0.0135811 | − | 0.282984i | ||||
\(877\) | 1548.75 | + | 1055.92i | 0.0596323 | + | 0.0406566i | 0.592769 | − | 0.805372i | \(-0.298035\pi\) |
−0.533137 | + | 0.846029i | \(0.678987\pi\) | |||||||
\(878\) | 5707.65 | + | 5295.92i | 0.219389 | + | 0.203563i | ||||
\(879\) | 18507.4 | + | 41226.5i | 0.710169 | + | 1.58195i | ||||
\(880\) | −56493.9 | − | 22172.2i | −2.16410 | − | 0.849347i | ||||
\(881\) | 36633.9 | 1.40094 | 0.700471 | − | 0.713681i | \(-0.252974\pi\) | ||||
0.700471 | + | 0.713681i | \(0.252974\pi\) | |||||||
\(882\) | 4685.57 | + | 37617.1i | 0.178879 | + | 1.43609i | ||||
\(883\) | 5101.32 | 0.194420 | 0.0972102 | − | 0.995264i | \(-0.469008\pi\) | ||||
0.0972102 | + | 0.995264i | \(0.469008\pi\) | |||||||
\(884\) | 21236.1 | + | 8334.55i | 0.807972 | + | 0.317106i | ||||
\(885\) | −1286.61 | − | 2866.02i | −0.0488690 | − | 0.108859i | ||||
\(886\) | 2716.66 | + | 2520.69i | 0.103011 | + | 0.0955804i | ||||
\(887\) | 16313.8 | + | 11122.5i | 0.617545 | + | 0.421035i | 0.831278 | − | 0.555857i | \(-0.187610\pi\) |
−0.213733 | + | 0.976892i | \(0.568562\pi\) | |||||||
\(888\) | −98.4625 | − | 2051.62i | −0.00372093 | − | 0.0775313i | ||||
\(889\) | −18238.6 | + | 20217.2i | −0.688080 | + | 0.762724i | ||||
\(890\) | 36587.7 | + | 75975.2i | 1.37800 | + | 2.86145i | ||||
\(891\) | −37439.0 | + | 10225.6i | −1.40769 | + | 0.384478i | ||||
\(892\) | 15419.9 | + | 22616.8i | 0.578807 | + | 0.848954i | ||||
\(893\) | −3158.11 | − | 20952.7i | −0.118345 | − | 0.785168i | ||||
\(894\) | −22122.5 | + | 65429.9i | −0.827615 | + | 2.44777i | ||||
\(895\) | 21703.7 | − | 17308.1i | 0.810586 | − | 0.646421i | ||||
\(896\) | 6613.45 | + | 3071.52i | 0.246584 | + | 0.114523i | ||||
\(897\) | −4561.78 | + | 25585.2i | −0.169803 | + | 0.952357i | ||||
\(898\) | 363.672 | + | 4852.87i | 0.0135144 | + | 0.180337i | ||||
\(899\) | 21351.5 | + | 6586.06i | 0.792115 | + | 0.244335i | ||||
\(900\) | −28849.5 | − | 56806.7i | −1.06850 | − | 2.10395i | ||||
\(901\) | 652.093 | − | 376.486i | 0.0241114 | − | 0.0139207i | ||||
\(902\) | 8721.56 | + | 38211.7i | 0.321947 | + | 1.41054i | ||||
\(903\) | 3596.40 | − | 2384.93i | 0.132537 | − | 0.0878908i | ||||
\(904\) | 1024.50 | − | 4488.63i | 0.0376929 | − | 0.165143i | ||||
\(905\) | 6416.92 | + | 20803.1i | 0.235697 | + | 0.764110i | ||||
\(906\) | 25895.4 | − | 30741.5i | 0.949579 | − | 1.12728i | ||||
\(907\) | −16493.7 | − | 42025.2i | −0.603818 | − | 1.53850i | −0.826101 | − | 0.563522i | \(-0.809446\pi\) |
0.222283 | − | 0.974982i | \(-0.428649\pi\) | |||||||
\(908\) | −28168.3 | + | 8688.76i | −1.02951 | + | 0.317562i | ||||
\(909\) | 20276.6 | + | 20948.1i | 0.739860 | + | 0.764363i | ||||
\(910\) | −30190.5 | − | 93219.7i | −1.09979 | − | 3.39583i | ||||
\(911\) | −1711.68 | + | 390.679i | −0.0622507 | + | 0.0142083i | −0.253533 | − | 0.967327i | \(-0.581593\pi\) |
0.191282 | + | 0.981535i | \(0.438735\pi\) | |||||||
\(912\) | 7983.76 | − | 13008.9i | 0.289878 | − | 0.472334i | ||||
\(913\) | 38948.0 | + | 22486.7i | 1.41182 | + | 0.815115i | ||||
\(914\) | 11014.7 | − | 35708.7i | 0.398614 | − | 1.29228i | ||||
\(915\) | −16275.5 | + | 10467.8i | −0.588035 | + | 0.378203i | ||||
\(916\) | 22614.8 | + | 18034.7i | 0.815737 | + | 0.650528i | ||||
\(917\) | 4474.95 | − | 3672.34i | 0.161151 | − | 0.132248i | ||||
\(918\) | 12844.7 | + | 19073.8i | 0.461808 | + | 0.685761i | ||||
\(919\) | −24227.3 | + | 22479.7i | −0.869625 | + | 0.806894i | −0.982412 | − | 0.186725i | \(-0.940213\pi\) |
0.112787 | + | 0.993619i | \(0.464022\pi\) | |||||||
\(920\) | 4664.24 | − | 703.020i | 0.167147 | − | 0.0251934i | ||||
\(921\) | 25374.6 | + | 13070.1i | 0.907843 | + | 0.467616i | ||||
\(922\) | −7429.36 | + | 49290.6i | −0.265372 | + | 1.76063i | ||||
\(923\) | −9169.61 | + | 4415.85i | −0.327000 | + | 0.157475i | ||||
\(924\) | 18940.8 | + | 40658.2i | 0.674358 | + | 1.44757i | ||||
\(925\) | −31068.2 | − | 14961.7i | −1.10434 | − | 0.531823i | ||||
\(926\) | 16473.8 | − | 24162.6i | 0.584624 | − | 0.857486i | ||||
\(927\) | −13328.8 | − | 53194.7i | −0.472248 | − | 1.88473i | ||||
\(928\) | 1552.09 | − | 20711.2i | 0.0549029 | − | 0.732628i | ||||
\(929\) | −12771.3 | + | 32540.7i | −0.451035 | + | 1.14922i | 0.506841 | + | 0.862039i | \(0.330813\pi\) |
−0.957877 | + | 0.287180i | \(0.907282\pi\) | |||||||
\(930\) | 103743. | − | 56238.6i | 3.65792 | − | 1.98294i | ||||
\(931\) | −3101.68 | − | 17279.5i | −0.109187 | − | 0.608283i | ||||
\(932\) | − | 60415.5i | − | 2.12336i | ||||||
\(933\) | −3115.60 | − | 25252.9i | −0.109325 | − | 0.886114i | ||||
\(934\) | −12824.1 | − | 961.035i | −0.449270 | − | 0.0336681i | ||||
\(935\) | −28801.2 | + | 31040.3i | −1.00738 | + | 1.08570i | ||||
\(936\) | −5010.41 | + | 2089.55i | −0.174968 | + | 0.0729691i | ||||
\(937\) | 1112.42 | − | 2309.97i | 0.0387848 | − | 0.0805374i | −0.880676 | − | 0.473719i | \(-0.842911\pi\) |
0.919461 | + | 0.393181i | \(0.128626\pi\) | |||||||
\(938\) | −39403.5 | − | 11552.6i | −1.37161 | − | 0.402138i | ||||
\(939\) | −32674.7 | − | 23586.3i | −1.13557 | − | 0.819713i | ||||
\(940\) | −71188.1 | − | 10729.9i | −2.47011 | − | 0.372308i | ||||
\(941\) | −10654.5 | + | 7264.11i | −0.369104 | + | 0.251651i | −0.733640 | − | 0.679539i | \(-0.762180\pi\) |
0.364536 | + | 0.931189i | \(0.381228\pi\) | |||||||
\(942\) | 1184.80 | − | 893.896i | 0.0409798 | − | 0.0309179i | ||||
\(943\) | 9402.58 | + | 10133.6i | 0.324698 | + | 0.349941i | ||||
\(944\) | −1089.18 | − | 1365.79i | −0.0375528 | − | 0.0470897i | ||||
\(945\) | 14803.9 | − | 49441.4i | 0.509597 | − | 1.70194i | ||||
\(946\) | 6092.61 | − | 7639.89i | 0.209395 | − | 0.262573i | ||||
\(947\) | 3835.78 | − | 287.452i | 0.131622 | − | 0.00986371i | −0.00875613 | − | 0.999962i | \(-0.502787\pi\) |
0.140378 | + | 0.990098i | \(0.455168\pi\) | |||||||
\(948\) | −25286.9 | + | 5061.59i | −0.866331 | + | 0.173410i | ||||
\(949\) | −5253.70 | + | 9099.67i | −0.179707 | + | 0.311262i | ||||
\(950\) | 28234.3 | + | 48903.2i | 0.964253 | + | 1.67013i | ||||
\(951\) | −10627.3 | + | 9342.59i | −0.362370 | + | 0.318564i | ||||
\(952\) | 1657.71 | − | 1581.90i | 0.0564356 | − | 0.0538548i | ||||
\(953\) | −7059.32 | − | 1611.24i | −0.239952 | − | 0.0547674i | 0.100854 | − | 0.994901i | \(-0.467843\pi\) |
−0.340805 | + | 0.940134i | \(0.610700\pi\) | |||||||
\(954\) | −570.498 | + | 1998.35i | −0.0193612 | + | 0.0678185i | ||||
\(955\) | 18211.9 | − | 7147.63i | 0.617091 | − | 0.242190i | ||||
\(956\) | 14988.4 | − | 5882.53i | 0.507072 | − | 0.199011i | ||||
\(957\) | 15481.4 | − | 15811.7i | 0.522927 | − | 0.534085i | ||||
\(958\) | −79120.5 | − | 18058.7i | −2.66834 | − | 0.609031i | ||||
\(959\) | −4120.57 | + | 10947.4i | −0.138749 | + | 0.368625i | ||||
\(960\) | −41134.4 | − | 46790.8i | −1.38292 | − | 1.57309i | ||||
\(961\) | 24115.6 | + | 41769.4i | 0.809492 | + | 1.40208i | ||||
\(962\) | −17038.9 | + | 29512.2i | −0.571055 | + | 0.989096i | ||||
\(963\) | 19281.5 | + | 23158.0i | 0.645212 | + | 0.774929i | ||||
\(964\) | −28517.6 | + | 2137.10i | −0.952791 | + | 0.0714018i | ||||
\(965\) | 35965.9 | − | 45099.8i | 1.19978 | − | 1.50447i | ||||
\(966\) | 24793.9 | + | 17374.6i | 0.825808 | + | 0.578695i | ||||
\(967\) | −28516.4 | − | 35758.5i | −0.948322 | − | 1.18916i | −0.981838 | − | 0.189720i | \(-0.939242\pi\) |
0.0335167 | − | 0.999438i | \(-0.489329\pi\) | |||||||
\(968\) | 3159.20 | + | 3404.80i | 0.104897 | + | 0.113052i | ||||
\(969\) | −6414.03 | − | 8501.40i | −0.212640 | − | 0.281841i | ||||
\(970\) | −42108.5 | + | 28709.1i | −1.39384 | + | 0.950303i | ||||
\(971\) | 1980.78 | + | 298.554i | 0.0654646 | + | 0.00986720i | 0.181693 | − | 0.983355i | \(-0.441842\pi\) |
−0.116228 | + | 0.993223i | \(0.537080\pi\) | |||||||
\(972\) | −32441.5 | − | 6881.42i | −1.07054 | − | 0.227080i | ||||
\(973\) | −14548.6 | + | 26034.2i | −0.479349 | + | 0.857779i | ||||
\(974\) | 22329.4 | − | 46367.5i | 0.734580 | − | 1.52537i | ||||
\(975\) | −9247.76 | + | 90668.4i | −0.303759 | + | 2.97817i | ||||
\(976\) | −7318.97 | + | 7887.98i | −0.240035 | + | 0.258697i | ||||
\(977\) | −2890.29 | − | 216.598i | −0.0946456 | − | 0.00709270i | 0.0273231 | − | 0.999627i | \(-0.491302\pi\) |
−0.121969 | + | 0.992534i | \(0.538921\pi\) | |||||||
\(978\) | 43860.5 | − | 5411.33i | 1.43405 | − | 0.176928i | ||||
\(979\) | 55216.6i | 1.80259i | ||||||||
\(980\) | −59206.0 | − | 7234.54i | −1.92987 | − | 0.235815i | ||||
\(981\) | −9919.98 | + | 15231.1i | −0.322855 | + | 0.495710i | ||||
\(982\) | −20300.9 | + | 51725.7i | −0.659701 | + | 1.68089i | ||||
\(983\) | −4095.67 | + | 54652.9i | −0.132891 | + | 1.77330i | 0.389913 | + | 0.920852i | \(0.372505\pi\) |
−0.522804 | + | 0.852453i | \(0.675114\pi\) | |||||||
\(984\) | −717.882 | + | 2796.94i | −0.0232573 | + | 0.0906129i | ||||
\(985\) | 5737.56 | − | 8415.46i | 0.185598 | − | 0.272222i | ||||
\(986\) | −11813.1 | − | 5688.88i | −0.381547 | − | 0.183743i | ||||
\(987\) | −24438.1 | − | 31464.8i | −0.788120 | − | 1.01473i | ||||
\(988\) | 26271.7 | − | 12651.8i | 0.845965 | − | 0.407395i | ||||
\(989\) | 513.674 | − | 3408.00i | 0.0165155 | − | 0.109574i | ||||
\(990\) | −2467.11 | − | 116842.i | −0.0792019 | − | 3.75100i | ||||
\(991\) | 33196.4 | − | 5003.55i | 1.06409 | − | 0.160386i | 0.406418 | − | 0.913687i | \(-0.366778\pi\) |
0.657676 | + | 0.753301i | \(0.271540\pi\) | |||||||
\(992\) | 53163.1 | − | 49328.1i | 1.70154 | − | 1.57880i | ||||
\(993\) | −10381.0 | − | 4399.33i | −0.331753 | − | 0.140593i | ||||
\(994\) | 166.042 | + | 11855.2i | 0.00529831 | + | 0.378293i | ||||
\(995\) | −41072.3 | − | 32754.1i | −1.30862 | − | 1.04359i | ||||
\(996\) | 20788.0 | + | 32321.5i | 0.661340 | + | 1.02826i | ||||
\(997\) | −8816.40 | + | 28582.1i | −0.280058 | + | 0.907927i | 0.700825 | + | 0.713333i | \(0.252815\pi\) |
−0.980884 | + | 0.194594i | \(0.937661\pi\) | |||||||
\(998\) | −66825.3 | − | 38581.6i | −2.11956 | − | 1.22373i | ||||
\(999\) | −16215.8 | + | 7694.92i | −0.513558 | + | 0.243700i |
(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 | 147.4.o.a.101.9 | ✓ | 648 | |
3.2 | odd | 2 | inner | 147.4.o.a.101.46 | yes | 648 | |
49.33 | odd | 42 | inner | 147.4.o.a.131.46 | yes | 648 | |
147.131 | even | 42 | inner | 147.4.o.a.131.9 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.4.o.a.101.9 | ✓ | 648 | 1.1 | even | 1 | trivial | |
147.4.o.a.101.46 | yes | 648 | 3.2 | odd | 2 | inner | |
147.4.o.a.131.9 | yes | 648 | 147.131 | even | 42 | inner | |
147.4.o.a.131.46 | yes | 648 | 49.33 | odd | 42 | inner |