Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,4,Mod(2,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.c (of order \(11\), degree \(10\), 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: | \(1.35704393013\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 3.4 | ||
Character | \(\chi\) | \(=\) | 23.3 |
Dual form | 23.4.c.a.8.4 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{8}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.306014 | + | 2.12837i | 0.108192 | + | 0.752494i | 0.969620 | + | 0.244614i | \(0.0786614\pi\) |
−0.861428 | + | 0.507879i | \(0.830430\pi\) | |||||||
\(3\) | 3.96829 | − | 8.68933i | 0.763697 | − | 1.67226i | 0.0236381 | − | 0.999721i | \(-0.492475\pi\) |
0.740059 | − | 0.672542i | \(-0.234798\pi\) | |||||||
\(4\) | 3.23961 | − | 0.951236i | 0.404952 | − | 0.118905i | ||||
\(5\) | −11.4648 | + | 13.2311i | −1.02544 | + | 1.18343i | −0.0425797 | + | 0.999093i | \(0.513558\pi\) |
−0.982864 | + | 0.184332i | \(0.940988\pi\) | |||||||
\(6\) | 19.7085 | + | 5.78694i | 1.34099 | + | 0.393751i | ||||
\(7\) | −2.65189 | + | 1.70427i | −0.143189 | + | 0.0920218i | −0.610274 | − | 0.792191i | \(-0.708941\pi\) |
0.467085 | + | 0.884212i | \(0.345304\pi\) | |||||||
\(8\) | 10.1620 | + | 22.2516i | 0.449099 | + | 0.983390i | ||||
\(9\) | −42.0760 | − | 48.5583i | −1.55837 | − | 1.79845i | ||||
\(10\) | −31.6691 | − | 20.3525i | −1.00147 | − | 0.643603i | ||||
\(11\) | −1.83328 | + | 12.7508i | −0.0502506 | + | 0.349500i | 0.949148 | + | 0.314830i | \(0.101947\pi\) |
−0.999399 | + | 0.0346708i | \(0.988962\pi\) | |||||||
\(12\) | 4.59010 | − | 31.9248i | 0.110421 | − | 0.767992i | ||||
\(13\) | 2.06481 | + | 1.32698i | 0.0440520 | + | 0.0283105i | 0.562481 | − | 0.826810i | \(-0.309847\pi\) |
−0.518429 | + | 0.855120i | \(0.673483\pi\) | |||||||
\(14\) | −4.43884 | − | 5.12269i | −0.0847378 | − | 0.0977926i | ||||
\(15\) | 69.4738 | + | 152.126i | 1.19587 | + | 2.61859i | ||||
\(16\) | −21.5269 | + | 13.8345i | −0.336357 | + | 0.216164i | ||||
\(17\) | −60.1125 | − | 17.6506i | −0.857613 | − | 0.251818i | −0.176774 | − | 0.984251i | \(-0.556566\pi\) |
−0.680839 | + | 0.732434i | \(0.738384\pi\) | |||||||
\(18\) | 90.4743 | − | 104.413i | 1.18472 | − | 1.36724i | ||||
\(19\) | 38.0538 | − | 11.1736i | 0.459481 | − | 0.134916i | −0.0437966 | − | 0.999040i | \(-0.513945\pi\) |
0.503278 | + | 0.864125i | \(0.332127\pi\) | |||||||
\(20\) | −24.5556 | + | 53.7694i | −0.274540 | + | 0.601160i | ||||
\(21\) | 4.28549 | + | 29.8062i | 0.0445319 | + | 0.309726i | ||||
\(22\) | −27.6994 | −0.268434 | ||||||||
\(23\) | 41.6779 | − | 102.127i | 0.377845 | − | 0.925869i | ||||
\(24\) | 233.677 | 1.98746 | ||||||||
\(25\) | −25.8307 | − | 179.656i | −0.206645 | − | 1.43725i | ||||
\(26\) | −2.19244 | + | 4.80077i | −0.0165374 | + | 0.0362119i | ||||
\(27\) | −341.436 | + | 100.255i | −2.43368 | + | 0.714594i | ||||
\(28\) | −6.96994 | + | 8.04374i | −0.0470427 | + | 0.0542902i | ||||
\(29\) | 179.910 | + | 52.8265i | 1.15202 | + | 0.338263i | 0.801326 | − | 0.598228i | \(-0.204128\pi\) |
0.350692 | + | 0.936491i | \(0.385946\pi\) | |||||||
\(30\) | −302.522 | + | 194.419i | −1.84109 | + | 1.18320i | ||||
\(31\) | 1.30809 | + | 2.86431i | 0.00757868 | + | 0.0165950i | 0.913383 | − | 0.407100i | \(-0.133460\pi\) |
−0.905805 | + | 0.423695i | \(0.860733\pi\) | |||||||
\(32\) | 92.1221 | + | 106.315i | 0.508908 | + | 0.587311i | ||||
\(33\) | 103.521 | + | 66.5287i | 0.546080 | + | 0.350944i | ||||
\(34\) | 19.1719 | − | 133.343i | 0.0967043 | − | 0.672593i | ||||
\(35\) | 7.85411 | − | 54.6266i | 0.0379311 | − | 0.263816i | ||||
\(36\) | −182.500 | − | 117.286i | −0.844908 | − | 0.542990i | ||||
\(37\) | −86.6011 | − | 99.9430i | −0.384788 | − | 0.444068i | 0.530004 | − | 0.847995i | \(-0.322190\pi\) |
−0.914791 | + | 0.403927i | \(0.867645\pi\) | |||||||
\(38\) | 35.4266 | + | 77.5735i | 0.151236 | + | 0.331160i | ||||
\(39\) | 19.7243 | − | 12.6760i | 0.0809850 | − | 0.0520459i | ||||
\(40\) | −410.918 | − | 120.656i | −1.62429 | − | 0.476936i | ||||
\(41\) | −35.4743 | + | 40.9395i | −0.135126 | + | 0.155943i | −0.819279 | − | 0.573395i | \(-0.805626\pi\) |
0.684154 | + | 0.729338i | \(0.260172\pi\) | |||||||
\(42\) | −62.1273 | + | 18.2422i | −0.228249 | + | 0.0670199i | ||||
\(43\) | 97.9296 | − | 214.436i | 0.347305 | − | 0.760492i | −0.652691 | − | 0.757624i | \(-0.726360\pi\) |
0.999996 | − | 0.00286782i | \(-0.000912855\pi\) | |||||||
\(44\) | 6.18987 | + | 43.0515i | 0.0212081 | + | 0.147506i | ||||
\(45\) | 1124.87 | 3.72636 | ||||||||
\(46\) | 230.119 | + | 57.4538i | 0.737590 | + | 0.184154i | ||||
\(47\) | −128.295 | −0.398164 | −0.199082 | − | 0.979983i | \(-0.563796\pi\) | ||||
−0.199082 | + | 0.979983i | \(0.563796\pi\) | |||||||
\(48\) | 34.7876 | + | 241.953i | 0.104607 | + | 0.727561i | ||||
\(49\) | −138.359 | + | 302.965i | −0.403380 | + | 0.883279i | ||||
\(50\) | 374.471 | − | 109.955i | 1.05916 | − | 0.310999i | ||||
\(51\) | −391.916 | + | 452.295i | −1.07606 | + | 1.24184i | ||||
\(52\) | 7.95146 | + | 2.33476i | 0.0212052 | + | 0.00622640i | ||||
\(53\) | 159.431 | − | 102.460i | 0.413199 | − | 0.265547i | −0.317484 | − | 0.948264i | \(-0.602838\pi\) |
0.730683 | + | 0.682717i | \(0.239202\pi\) | |||||||
\(54\) | −317.864 | − | 696.025i | −0.801033 | − | 1.75402i | ||||
\(55\) | −147.688 | − | 170.442i | −0.362078 | − | 0.417861i | ||||
\(56\) | −64.8711 | − | 41.6901i | −0.154799 | − | 0.0994835i | ||||
\(57\) | 53.9172 | − | 375.002i | 0.125290 | − | 0.871408i | ||||
\(58\) | −57.3794 | + | 399.082i | −0.129901 | + | 0.903484i | ||||
\(59\) | −423.590 | − | 272.225i | −0.934689 | − | 0.600688i | −0.0178051 | − | 0.999841i | \(-0.505668\pi\) |
−0.916884 | + | 0.399153i | \(0.869304\pi\) | |||||||
\(60\) | 369.776 | + | 426.744i | 0.795631 | + | 0.918208i | ||||
\(61\) | −19.9494 | − | 43.6832i | −0.0418732 | − | 0.0916895i | 0.887539 | − | 0.460732i | \(-0.152413\pi\) |
−0.929413 | + | 0.369042i | \(0.879686\pi\) | |||||||
\(62\) | −5.69603 | + | 3.66062i | −0.0116677 | + | 0.00749836i | ||||
\(63\) | 194.337 | + | 57.0626i | 0.388638 | + | 0.114114i | ||||
\(64\) | −332.145 | + | 383.315i | −0.648720 | + | 0.748663i | ||||
\(65\) | −41.2300 | + | 12.1062i | −0.0786763 | + | 0.0231014i | ||||
\(66\) | −109.919 | + | 240.690i | −0.205002 | + | 0.448891i | ||||
\(67\) | 69.8660 | + | 485.929i | 0.127395 | + | 0.886055i | 0.948838 | + | 0.315763i | \(0.102261\pi\) |
−0.821443 | + | 0.570291i | \(0.806830\pi\) | |||||||
\(68\) | −211.531 | −0.377234 | ||||||||
\(69\) | −722.027 | − | 767.423i | −1.25974 | − | 1.33894i | ||||
\(70\) | 118.669 | 0.202624 | ||||||||
\(71\) | 141.557 | + | 984.551i | 0.236616 | + | 1.64570i | 0.668457 | + | 0.743751i | \(0.266955\pi\) |
−0.431841 | + | 0.901950i | \(0.642136\pi\) | |||||||
\(72\) | 652.924 | − | 1429.70i | 1.06872 | − | 2.34017i | ||||
\(73\) | 225.779 | − | 66.2948i | 0.361993 | − | 0.106291i | −0.0956781 | − | 0.995412i | \(-0.530502\pi\) |
0.457671 | + | 0.889122i | \(0.348684\pi\) | |||||||
\(74\) | 186.215 | − | 214.904i | 0.292528 | − | 0.337595i | ||||
\(75\) | −1663.60 | − | 488.476i | −2.56127 | − | 0.752058i | ||||
\(76\) | 112.651 | − | 72.3963i | 0.170026 | − | 0.109269i | ||||
\(77\) | −16.8691 | − | 36.9381i | −0.0249663 | − | 0.0546687i | ||||
\(78\) | 33.0153 | + | 38.1016i | 0.0479262 | + | 0.0553098i | ||||
\(79\) | 1125.90 | + | 723.570i | 1.60346 | + | 1.03048i | 0.965497 | + | 0.260413i | \(0.0838587\pi\) |
0.637962 | + | 0.770068i | \(0.279778\pi\) | |||||||
\(80\) | 63.7561 | − | 443.433i | 0.0891019 | − | 0.619717i | ||||
\(81\) | −236.882 | + | 1647.55i | −0.324941 | + | 2.26002i | ||||
\(82\) | −97.9902 | − | 62.9745i | −0.131966 | − | 0.0848093i | ||||
\(83\) | −699.359 | − | 807.103i | −0.924875 | − | 1.06736i | −0.997547 | − | 0.0700065i | \(-0.977698\pi\) |
0.0726717 | − | 0.997356i | \(-0.476847\pi\) | |||||||
\(84\) | 42.2360 | + | 92.4840i | 0.0548611 | + | 0.120129i | ||||
\(85\) | 922.715 | − | 592.993i | 1.17744 | − | 0.756696i | ||||
\(86\) | 486.368 | + | 142.810i | 0.609842 | + | 0.179066i | ||||
\(87\) | 1172.96 | − | 1353.67i | 1.44546 | − | 1.66815i | ||||
\(88\) | −302.355 | + | 88.7793i | −0.366263 | + | 0.107544i | ||||
\(89\) | −551.207 | + | 1206.98i | −0.656493 | + | 1.43752i | 0.229262 | + | 0.973365i | \(0.426369\pi\) |
−0.885754 | + | 0.464154i | \(0.846358\pi\) | |||||||
\(90\) | 344.227 | + | 2394.15i | 0.403163 | + | 2.80406i | ||||
\(91\) | −7.73719 | −0.00891294 | ||||||||
\(92\) | 37.8732 | − | 370.498i | 0.0429191 | − | 0.419859i | ||||
\(93\) | 30.0798 | 0.0335390 | ||||||||
\(94\) | −39.2600 | − | 273.059i | −0.0430782 | − | 0.299616i | ||||
\(95\) | −288.441 | + | 631.597i | −0.311509 | + | 0.682110i | ||||
\(96\) | 1289.37 | − | 378.593i | 1.37079 | − | 0.402500i | ||||
\(97\) | 737.907 | − | 851.590i | 0.772403 | − | 0.891401i | −0.224133 | − | 0.974559i | \(-0.571955\pi\) |
0.996536 | + | 0.0831575i | \(0.0265005\pi\) | |||||||
\(98\) | −687.162 | − | 201.769i | −0.708305 | − | 0.207977i | ||||
\(99\) | 696.293 | − | 447.480i | 0.706869 | − | 0.454277i | ||||
\(100\) | −254.577 | − | 557.446i | −0.254577 | − | 0.557446i | ||||
\(101\) | −432.289 | − | 498.888i | −0.425885 | − | 0.491497i | 0.501736 | − | 0.865021i | \(-0.332695\pi\) |
−0.927621 | + | 0.373524i | \(0.878150\pi\) | |||||||
\(102\) | −1082.58 | − | 695.734i | −1.05090 | − | 0.675372i | ||||
\(103\) | −152.504 | + | 1060.69i | −0.145890 | + | 1.01469i | 0.776967 | + | 0.629542i | \(0.216757\pi\) |
−0.922857 | + | 0.385144i | \(0.874152\pi\) | |||||||
\(104\) | −8.54475 | + | 59.4301i | −0.00805656 | + | 0.0560346i | ||||
\(105\) | −443.501 | − | 285.021i | −0.412203 | − | 0.264906i | ||||
\(106\) | 266.862 | + | 307.975i | 0.244527 | + | 0.282200i | ||||
\(107\) | −292.078 | − | 639.562i | −0.263890 | − | 0.577839i | 0.730584 | − | 0.682823i | \(-0.239248\pi\) |
−0.994474 | + | 0.104984i | \(0.966521\pi\) | |||||||
\(108\) | −1010.76 | + | 649.573i | −0.900555 | + | 0.578752i | ||||
\(109\) | −1405.90 | − | 412.809i | −1.23542 | − | 0.362751i | −0.402126 | − | 0.915585i | \(-0.631728\pi\) |
−0.833292 | + | 0.552833i | \(0.813547\pi\) | |||||||
\(110\) | 317.569 | − | 366.494i | 0.275264 | − | 0.317671i | ||||
\(111\) | −1212.10 | + | 355.904i | −1.03646 | + | 0.304332i | ||||
\(112\) | 33.5093 | − | 73.3751i | 0.0282708 | − | 0.0619044i | ||||
\(113\) | −185.371 | − | 1289.28i | −0.154320 | − | 1.07332i | −0.908870 | − | 0.417079i | \(-0.863054\pi\) |
0.754550 | − | 0.656243i | \(-0.227855\pi\) | |||||||
\(114\) | 814.645 | 0.669285 | ||||||||
\(115\) | 873.425 | + | 1722.31i | 0.708237 | + | 1.39658i | ||||
\(116\) | 633.091 | 0.506733 | ||||||||
\(117\) | −22.4434 | − | 156.098i | −0.0177342 | − | 0.123344i | ||||
\(118\) | 449.771 | − | 984.862i | 0.350888 | − | 0.768338i | ||||
\(119\) | 189.493 | − | 55.6402i | 0.145973 | − | 0.0428616i | ||||
\(120\) | −2679.06 | + | 3091.80i | −2.03803 | + | 2.35201i | ||||
\(121\) | 1117.86 | + | 328.234i | 0.839868 | + | 0.246607i | ||||
\(122\) | 86.8694 | − | 55.8276i | 0.0644654 | − | 0.0414294i | ||||
\(123\) | 214.965 | + | 470.707i | 0.157583 | + | 0.345059i | ||||
\(124\) | 6.96233 | + | 8.03495i | 0.00504222 | + | 0.00581903i | ||||
\(125\) | 832.189 | + | 534.816i | 0.595466 | + | 0.382683i | ||||
\(126\) | −61.9806 | + | 431.084i | −0.0438228 | + | 0.304794i | ||||
\(127\) | −277.176 | + | 1927.80i | −0.193665 | + | 1.34697i | 0.628541 | + | 0.777776i | \(0.283652\pi\) |
−0.822206 | + | 0.569190i | \(0.807257\pi\) | |||||||
\(128\) | 29.2634 | + | 18.8065i | 0.0202074 | + | 0.0129865i | ||||
\(129\) | −1474.69 | − | 1701.89i | −1.00651 | − | 1.16157i | ||||
\(130\) | −38.3836 | − | 84.0483i | −0.0258959 | − | 0.0567040i | ||||
\(131\) | 894.009 | − | 574.545i | 0.596259 | − | 0.383193i | −0.207423 | − | 0.978251i | \(-0.566508\pi\) |
0.803682 | + | 0.595059i | \(0.202871\pi\) | |||||||
\(132\) | 398.652 | + | 117.055i | 0.262865 | + | 0.0771841i | ||||
\(133\) | −81.8718 | + | 94.4851i | −0.0533774 | + | 0.0616008i | ||||
\(134\) | −1012.86 | + | 297.402i | −0.652968 | + | 0.191729i | ||||
\(135\) | 2588.02 | − | 5666.98i | 1.64994 | − | 3.61286i | ||||
\(136\) | −218.106 | − | 1516.96i | −0.137518 | − | 0.956459i | ||||
\(137\) | 1054.06 | 0.657331 | 0.328665 | − | 0.944446i | \(-0.393401\pi\) | ||||
0.328665 | + | 0.944446i | \(0.393401\pi\) | |||||||
\(138\) | 1412.41 | − | 1771.59i | 0.871250 | − | 1.09281i | ||||
\(139\) | 1091.53 | 0.666063 | 0.333032 | − | 0.942916i | \(-0.391928\pi\) | ||||
0.333032 | + | 0.942916i | \(0.391928\pi\) | |||||||
\(140\) | −26.5185 | − | 184.440i | −0.0160087 | − | 0.111343i | ||||
\(141\) | −509.110 | + | 1114.79i | −0.304076 | + | 0.665834i | ||||
\(142\) | −2052.17 | + | 602.573i | −1.21278 | + | 0.356104i | ||||
\(143\) | −20.7054 | + | 23.8953i | −0.0121082 | + | 0.0139736i | ||||
\(144\) | 1577.54 | + | 463.208i | 0.912929 | + | 0.268060i | ||||
\(145\) | −2761.59 | + | 1774.77i | −1.58164 | + | 1.01646i | ||||
\(146\) | 210.192 | + | 460.256i | 0.119148 | + | 0.260898i | ||||
\(147\) | 2083.51 | + | 2404.50i | 1.16901 | + | 1.34911i | ||||
\(148\) | −375.624 | − | 241.399i | −0.208622 | − | 0.134073i | ||||
\(149\) | −230.529 | + | 1603.36i | −0.126749 | + | 0.881560i | 0.822887 | + | 0.568205i | \(0.192362\pi\) |
−0.949636 | + | 0.313355i | \(0.898547\pi\) | |||||||
\(150\) | 530.576 | − | 3690.24i | 0.288809 | − | 2.00871i | ||||
\(151\) | 197.550 | + | 126.957i | 0.106466 | + | 0.0684215i | 0.592790 | − | 0.805357i | \(-0.298026\pi\) |
−0.486324 | + | 0.873778i | \(0.661663\pi\) | |||||||
\(152\) | 635.332 | + | 733.212i | 0.339028 | + | 0.391259i | ||||
\(153\) | 1672.21 | + | 3661.62i | 0.883595 | + | 1.93480i | ||||
\(154\) | 73.4559 | − | 47.2073i | 0.0384367 | − | 0.0247017i | ||||
\(155\) | −52.8949 | − | 15.5313i | −0.0274105 | − | 0.00804844i | ||||
\(156\) | 51.8412 | − | 59.8279i | 0.0266065 | − | 0.0307056i | ||||
\(157\) | 1946.89 | − | 571.657i | 0.989671 | − | 0.290594i | 0.253460 | − | 0.967346i | \(-0.418431\pi\) |
0.736211 | + | 0.676752i | \(0.236613\pi\) | |||||||
\(158\) | −1195.49 | + | 2617.75i | −0.601949 | + | 1.31808i | ||||
\(159\) | −257.642 | − | 1791.94i | −0.128505 | − | 0.893775i | ||||
\(160\) | −2462.82 | −1.21689 | ||||||||
\(161\) | 63.5267 | + | 341.861i | 0.0310969 | + | 0.167344i | ||||
\(162\) | −3579.10 | −1.73580 | ||||||||
\(163\) | −233.188 | − | 1621.86i | −0.112053 | − | 0.779348i | −0.965917 | − | 0.258851i | \(-0.916656\pi\) |
0.853864 | − | 0.520496i | \(-0.174253\pi\) | |||||||
\(164\) | −75.9798 | + | 166.372i | −0.0361770 | + | 0.0792165i | ||||
\(165\) | −2067.09 | + | 606.953i | −0.975291 | + | 0.286371i | ||||
\(166\) | 1503.80 | − | 1735.48i | 0.703119 | − | 0.811443i | ||||
\(167\) | −1819.81 | − | 534.346i | −0.843242 | − | 0.247598i | −0.168546 | − | 0.985694i | \(-0.553907\pi\) |
−0.674696 | + | 0.738095i | \(0.735725\pi\) | |||||||
\(168\) | −619.686 | + | 398.248i | −0.284582 | + | 0.182890i | ||||
\(169\) | −910.164 | − | 1992.98i | −0.414276 | − | 0.907138i | ||||
\(170\) | 1544.47 | + | 1782.42i | 0.696799 | + | 0.804149i | ||||
\(171\) | −2143.72 | − | 1377.69i | −0.958682 | − | 0.616107i | ||||
\(172\) | 113.275 | − | 787.843i | 0.0502158 | − | 0.349259i | ||||
\(173\) | 543.341 | − | 3779.02i | 0.238783 | − | 1.66077i | −0.419315 | − | 0.907841i | \(-0.637730\pi\) |
0.658098 | − | 0.752932i | \(-0.271361\pi\) | |||||||
\(174\) | 3240.06 | + | 2082.26i | 1.41166 | + | 0.907217i | ||||
\(175\) | 374.683 | + | 432.407i | 0.161848 | + | 0.186782i | ||||
\(176\) | −136.935 | − | 299.847i | −0.0586471 | − | 0.128419i | ||||
\(177\) | −4046.37 | + | 2600.45i | −1.71833 | + | 1.10430i | ||||
\(178\) | −2737.57 | − | 803.824i | −1.15275 | − | 0.338478i | ||||
\(179\) | 386.663 | − | 446.233i | 0.161456 | − | 0.186330i | −0.669257 | − | 0.743031i | \(-0.733388\pi\) |
0.830713 | + | 0.556701i | \(0.187933\pi\) | |||||||
\(180\) | 3644.15 | − | 1070.02i | 1.50899 | − | 0.443080i | ||||
\(181\) | −1051.57 | + | 2302.61i | −0.431836 | + | 0.945590i | 0.561189 | + | 0.827688i | \(0.310344\pi\) |
−0.993025 | + | 0.117902i | \(0.962383\pi\) | |||||||
\(182\) | −2.36769 | − | 16.4676i | −0.000964312 | − | 0.00670693i | ||||
\(183\) | −458.743 | −0.185307 | ||||||||
\(184\) | 2696.02 | − | 110.412i | 1.08018 | − | 0.0442376i | ||||
\(185\) | 2315.22 | 0.920100 | ||||||||
\(186\) | 9.20484 | + | 64.0210i | 0.00362866 | + | 0.0252379i | ||||
\(187\) | 335.262 | − | 734.122i | 0.131106 | − | 0.287082i | ||||
\(188\) | −415.625 | + | 122.038i | −0.161237 | + | 0.0473435i | ||||
\(189\) | 734.591 | − | 847.764i | 0.282718 | − | 0.326274i | ||||
\(190\) | −1432.54 | − | 420.632i | −0.546987 | − | 0.160610i | ||||
\(191\) | −273.287 | + | 175.631i | −0.103531 | + | 0.0665352i | −0.591382 | − | 0.806392i | \(-0.701417\pi\) |
0.487851 | + | 0.872927i | \(0.337781\pi\) | |||||||
\(192\) | 2012.71 | + | 4407.22i | 0.756535 | + | 1.65658i | ||||
\(193\) | −1777.30 | − | 2051.11i | −0.662865 | − | 0.764987i | 0.320377 | − | 0.947290i | \(-0.396190\pi\) |
−0.983242 | + | 0.182303i | \(0.941645\pi\) | |||||||
\(194\) | 2038.31 | + | 1309.94i | 0.754342 | + | 0.484786i | ||||
\(195\) | −58.4175 | + | 406.303i | −0.0214531 | + | 0.149210i | ||||
\(196\) | −160.040 | + | 1113.10i | −0.0583235 | + | 0.405649i | ||||
\(197\) | −2257.64 | − | 1450.90i | −0.816497 | − | 0.524731i | 0.0644635 | − | 0.997920i | \(-0.479466\pi\) |
−0.880961 | + | 0.473189i | \(0.843103\pi\) | |||||||
\(198\) | 1165.48 | + | 1345.04i | 0.418319 | + | 0.482765i | ||||
\(199\) | −458.656 | − | 1004.32i | −0.163383 | − | 0.357760i | 0.810178 | − | 0.586183i | \(-0.199370\pi\) |
−0.973562 | + | 0.228424i | \(0.926643\pi\) | |||||||
\(200\) | 3735.15 | − | 2400.43i | 1.32057 | − | 0.848681i | ||||
\(201\) | 4499.65 | + | 1321.22i | 1.57901 | + | 0.463639i | ||||
\(202\) | 929.534 | − | 1072.74i | 0.323771 | − | 0.373652i | ||||
\(203\) | −567.134 | + | 166.526i | −0.196084 | + | 0.0575754i | ||||
\(204\) | −839.416 | + | 1838.06i | −0.288092 | + | 0.630834i | ||||
\(205\) | −134.969 | − | 938.727i | −0.0459835 | − | 0.319822i | ||||
\(206\) | −2304.21 | −0.779329 | ||||||||
\(207\) | −6712.75 | + | 2273.29i | −2.25395 | + | 0.763308i | ||||
\(208\) | −62.8070 | −0.0209369 | ||||||||
\(209\) | 72.7087 | + | 505.700i | 0.0240640 | + | 0.167368i | ||||
\(210\) | 470.913 | − | 1031.16i | 0.154743 | − | 0.338841i | ||||
\(211\) | 2901.12 | − | 851.846i | 0.946547 | − | 0.277931i | 0.228198 | − | 0.973615i | \(-0.426717\pi\) |
0.718348 | + | 0.695683i | \(0.244898\pi\) | |||||||
\(212\) | 419.032 | − | 483.588i | 0.135751 | − | 0.156665i | ||||
\(213\) | 9116.83 | + | 2676.94i | 2.93275 | + | 0.861132i | ||||
\(214\) | 1271.85 | − | 817.366i | 0.406270 | − | 0.261094i | ||||
\(215\) | 1714.48 | + | 3754.18i | 0.543844 | + | 1.19085i | ||||
\(216\) | −5700.49 | − | 6578.71i | −1.79569 | − | 2.07234i | ||||
\(217\) | −8.35046 | − | 5.36651i | −0.00261228 | − | 0.00167881i | ||||
\(218\) | 448.387 | − | 3118.60i | 0.139305 | − | 0.968891i | ||||
\(219\) | 319.899 | − | 2224.95i | 0.0987068 | − | 0.686521i | ||||
\(220\) | −640.584 | − | 411.678i | −0.196310 | − | 0.126161i | ||||
\(221\) | −100.699 | − | 116.213i | −0.0306505 | − | 0.0353726i | ||||
\(222\) | −1128.41 | − | 2470.88i | −0.341145 | − | 0.747004i | ||||
\(223\) | −1111.20 | + | 714.127i | −0.333685 | + | 0.214446i | −0.696744 | − | 0.717320i | \(-0.745369\pi\) |
0.363059 | + | 0.931766i | \(0.381732\pi\) | |||||||
\(224\) | −425.487 | − | 124.934i | −0.126915 | − | 0.0372657i | ||||
\(225\) | −7636.95 | + | 8813.51i | −2.26280 | + | 2.61141i | ||||
\(226\) | 2687.35 | − | 789.076i | 0.790972 | − | 0.232250i | ||||
\(227\) | 670.700 | − | 1468.63i | 0.196105 | − | 0.429411i | −0.785877 | − | 0.618383i | \(-0.787788\pi\) |
0.981982 | + | 0.188972i | \(0.0605155\pi\) | |||||||
\(228\) | −182.045 | − | 1266.15i | −0.0528782 | − | 0.367776i | ||||
\(229\) | −3389.10 | −0.977983 | −0.488991 | − | 0.872289i | \(-0.662635\pi\) | ||||
−0.488991 | + | 0.872289i | \(0.662635\pi\) | |||||||
\(230\) | −3398.44 | + | 2386.03i | −0.974291 | + | 0.684043i | ||||
\(231\) | −387.909 | −0.110487 | ||||||||
\(232\) | 652.770 | + | 4540.11i | 0.184726 | + | 1.28480i | ||||
\(233\) | −2311.43 | + | 5061.33i | −0.649901 | + | 1.42308i | 0.241740 | + | 0.970341i | \(0.422282\pi\) |
−0.891641 | + | 0.452743i | \(0.850445\pi\) | |||||||
\(234\) | 325.366 | − | 95.5361i | 0.0908968 | − | 0.0266897i | ||||
\(235\) | 1470.87 | − | 1697.48i | 0.408295 | − | 0.471197i | ||||
\(236\) | −1631.22 | − | 478.968i | −0.449928 | − | 0.132111i | ||||
\(237\) | 10755.2 | − | 6911.96i | 2.94779 | − | 1.89443i | ||||
\(238\) | 176.411 | + | 386.286i | 0.0480463 | + | 0.105207i | ||||
\(239\) | 130.373 | + | 150.459i | 0.0352851 | + | 0.0407212i | 0.773118 | − | 0.634262i | \(-0.218696\pi\) |
−0.737833 | + | 0.674984i | \(0.764151\pi\) | |||||||
\(240\) | −3600.14 | − | 2313.67i | −0.968283 | − | 0.622278i | ||||
\(241\) | 604.092 | − | 4201.56i | 0.161465 | − | 1.12301i | −0.734410 | − | 0.678706i | \(-0.762541\pi\) |
0.895875 | − | 0.444306i | \(-0.146550\pi\) | |||||||
\(242\) | −356.524 | + | 2479.68i | −0.0947033 | + | 0.658676i | ||||
\(243\) | 5293.37 | + | 3401.84i | 1.39741 | + | 0.898059i | ||||
\(244\) | −106.182 | − | 122.540i | −0.0278589 | − | 0.0321509i | ||||
\(245\) | −2422.29 | − | 5304.08i | −0.631651 | − | 1.38312i | ||||
\(246\) | −936.059 | + | 601.569i | −0.242605 | + | 0.155913i | ||||
\(247\) | 93.4012 | + | 27.4251i | 0.0240606 | + | 0.00706484i | ||||
\(248\) | −50.4427 | + | 58.2140i | −0.0129158 | + | 0.0149056i | ||||
\(249\) | −9788.44 | + | 2874.15i | −2.49123 | + | 0.731492i | ||||
\(250\) | −883.626 | + | 1934.87i | −0.223542 | + | 0.489488i | ||||
\(251\) | 748.446 | + | 5205.55i | 0.188213 | + | 1.30905i | 0.836631 | + | 0.547766i | \(0.184522\pi\) |
−0.648418 | + | 0.761284i | \(0.724569\pi\) | |||||||
\(252\) | 683.857 | 0.170948 | ||||||||
\(253\) | 1225.79 | + | 718.654i | 0.304604 | + | 0.178582i | ||||
\(254\) | −4187.90 | −1.03454 | ||||||||
\(255\) | −1491.12 | − | 10370.9i | −0.366186 | − | 2.54688i | ||||
\(256\) | −1716.66 | + | 3758.95i | −0.419105 | + | 0.917713i | ||||
\(257\) | −130.268 | + | 38.2502i | −0.0316183 | + | 0.00928397i | −0.297503 | − | 0.954721i | \(-0.596154\pi\) |
0.265885 | + | 0.964005i | \(0.414336\pi\) | |||||||
\(258\) | 3170.97 | − | 3659.50i | 0.765179 | − | 0.883063i | ||||
\(259\) | 399.987 | + | 117.447i | 0.0959612 | + | 0.0281768i | ||||
\(260\) | −122.053 | + | 78.4390i | −0.0291132 | + | 0.0187099i | ||||
\(261\) | −5004.75 | − | 10958.9i | −1.18692 | − | 2.59899i | ||||
\(262\) | 1496.43 | + | 1726.97i | 0.352861 | + | 0.407223i | ||||
\(263\) | 367.771 | + | 236.352i | 0.0862271 | + | 0.0554148i | 0.583044 | − | 0.812441i | \(-0.301862\pi\) |
−0.496817 | + | 0.867855i | \(0.665498\pi\) | |||||||
\(264\) | −428.396 | + | 2979.56i | −0.0998711 | + | 0.694619i | ||||
\(265\) | −472.188 | + | 3284.14i | −0.109458 | + | 0.761294i | ||||
\(266\) | −226.154 | − | 145.340i | −0.0521292 | − | 0.0335014i | ||||
\(267\) | 8300.47 | + | 9579.25i | 1.90255 | + | 2.19566i | ||||
\(268\) | 688.572 | + | 1507.76i | 0.156945 | + | 0.343661i | ||||
\(269\) | 1962.02 | − | 1260.92i | 0.444709 | − | 0.285797i | −0.299060 | − | 0.954234i | \(-0.596673\pi\) |
0.743768 | + | 0.668438i | \(0.233037\pi\) | |||||||
\(270\) | 12853.4 | + | 3774.10i | 2.89716 | + | 0.850684i | ||||
\(271\) | −739.214 | + | 853.098i | −0.165698 | + | 0.191225i | −0.832526 | − | 0.553986i | \(-0.813106\pi\) |
0.666828 | + | 0.745211i | \(0.267651\pi\) | |||||||
\(272\) | 1538.22 | − | 451.662i | 0.342898 | − | 0.100684i | ||||
\(273\) | −30.7034 | + | 67.2310i | −0.00680679 | + | 0.0149048i | ||||
\(274\) | 322.557 | + | 2243.43i | 0.0711181 | + | 0.494637i | ||||
\(275\) | 2338.11 | 0.512704 | ||||||||
\(276\) | −3069.09 | − | 1799.33i | −0.669338 | − | 0.392417i | ||||
\(277\) | 1526.61 | 0.331137 | 0.165568 | − | 0.986198i | \(-0.447054\pi\) | ||||
0.165568 | + | 0.986198i | \(0.447054\pi\) | |||||||
\(278\) | 334.025 | + | 2323.19i | 0.0720629 | + | 0.501208i | ||||
\(279\) | 84.0469 | − | 184.037i | 0.0180350 | − | 0.0394911i | ||||
\(280\) | 1295.34 | − | 380.346i | 0.276469 | − | 0.0811787i | ||||
\(281\) | 5843.07 | − | 6743.26i | 1.24046 | − | 1.43156i | 0.377713 | − | 0.925923i | \(-0.376710\pi\) |
0.862744 | − | 0.505641i | \(-0.168744\pi\) | |||||||
\(282\) | −2528.50 | − | 742.433i | −0.533935 | − | 0.156777i | ||||
\(283\) | −5099.81 | + | 3277.45i | −1.07121 | + | 0.688425i | −0.952511 | − | 0.304505i | \(-0.901509\pi\) |
−0.118699 | + | 0.992930i | \(0.537872\pi\) | |||||||
\(284\) | 1395.13 | + | 3054.91i | 0.291499 | + | 0.638294i | ||||
\(285\) | 4343.54 | + | 5012.71i | 0.902769 | + | 1.04185i | ||||
\(286\) | −57.1942 | − | 36.7565i | −0.0118250 | − | 0.00759949i | ||||
\(287\) | 24.3021 | − | 169.025i | 0.00499828 | − | 0.0347638i | ||||
\(288\) | 1286.32 | − | 8946.58i | 0.263185 | − | 1.83049i | ||||
\(289\) | −831.112 | − | 534.123i | −0.169166 | − | 0.108716i | ||||
\(290\) | −4622.45 | − | 5334.60i | −0.935999 | − | 1.08020i | ||||
\(291\) | −4471.53 | − | 9791.27i | −0.900775 | − | 1.97242i | ||||
\(292\) | 668.376 | − | 429.539i | 0.133951 | − | 0.0860852i | ||||
\(293\) | −3878.81 | − | 1138.92i | −0.773388 | − | 0.227087i | −0.128855 | − | 0.991663i | \(-0.541130\pi\) |
−0.644533 | + | 0.764576i | \(0.722948\pi\) | |||||||
\(294\) | −4480.09 | + | 5170.30i | −0.888722 | + | 1.02564i | ||||
\(295\) | 8458.20 | − | 2483.55i | 1.66934 | − | 0.490163i | ||||
\(296\) | 1343.85 | − | 2942.63i | 0.263885 | − | 0.577827i | ||||
\(297\) | −652.376 | − | 4537.37i | −0.127457 | − | 0.886482i | ||||
\(298\) | −3483.10 | −0.677082 | ||||||||
\(299\) | 221.577 | − | 155.568i | 0.0428567 | − | 0.0300894i | ||||
\(300\) | −5854.07 | −1.12662 | ||||||||
\(301\) | 105.757 | + | 735.559i | 0.0202517 | + | 0.140854i | ||||
\(302\) | −209.760 | + | 459.310i | −0.0399680 | + | 0.0875177i | ||||
\(303\) | −6050.45 | + | 1776.57i | −1.14716 | + | 0.336837i | ||||
\(304\) | −664.598 | + | 766.987i | −0.125386 | + | 0.144703i | ||||
\(305\) | 806.693 | + | 236.866i | 0.151446 | + | 0.0444686i | ||||
\(306\) | −7281.59 | + | 4679.59i | −1.36033 | + | 0.874230i | ||||
\(307\) | 3589.74 | + | 7860.44i | 0.667353 | + | 1.46130i | 0.875508 | + | 0.483203i | \(0.160527\pi\) |
−0.208155 | + | 0.978096i | \(0.566746\pi\) | |||||||
\(308\) | −89.7861 | − | 103.619i | −0.0166105 | − | 0.0191696i | ||||
\(309\) | 8611.48 | + | 5534.27i | 1.58541 | + | 1.01888i | ||||
\(310\) | 16.8699 | − | 117.333i | 0.00309080 | − | 0.0214970i | ||||
\(311\) | −312.970 | + | 2176.75i | −0.0570640 | + | 0.396889i | 0.941193 | + | 0.337870i | \(0.109706\pi\) |
−0.998257 | + | 0.0590190i | \(0.981203\pi\) | |||||||
\(312\) | 482.499 | + | 310.084i | 0.0875518 | + | 0.0562661i | ||||
\(313\) | −1418.31 | − | 1636.82i | −0.256127 | − | 0.295586i | 0.613094 | − | 0.790010i | \(-0.289925\pi\) |
−0.869221 | + | 0.494424i | \(0.835379\pi\) | |||||||
\(314\) | 1812.47 | + | 3968.77i | 0.325745 | + | 0.713282i | ||||
\(315\) | −2983.04 | + | 1917.08i | −0.533572 | + | 0.342906i | ||||
\(316\) | 4335.76 | + | 1273.09i | 0.771852 | + | 0.226636i | ||||
\(317\) | 2986.27 | − | 3446.34i | 0.529104 | − | 0.610618i | −0.426783 | − | 0.904354i | \(-0.640353\pi\) |
0.955887 | + | 0.293736i | \(0.0948986\pi\) | |||||||
\(318\) | 3735.08 | − | 1096.72i | 0.658657 | − | 0.193399i | ||||
\(319\) | −1003.41 | + | 2197.15i | −0.176113 | + | 0.385633i | ||||
\(320\) | −1263.71 | − | 8789.27i | −0.220760 | − | 1.53542i | ||||
\(321\) | −6716.42 | −1.16783 | ||||||||
\(322\) | −708.167 | + | 239.823i | −0.122561 | + | 0.0415056i | ||||
\(323\) | −2484.73 | −0.428031 | ||||||||
\(324\) | 799.804 | + | 5562.76i | 0.137141 | + | 0.953834i | ||||
\(325\) | 185.064 | − | 405.234i | 0.0315862 | − | 0.0691640i | ||||
\(326\) | 3380.56 | − | 992.622i | 0.574331 | − | 0.168639i | ||||
\(327\) | −9166.03 | + | 10578.2i | −1.55010 | + | 1.78891i | ||||
\(328\) | −1271.46 | − | 373.333i | −0.214038 | − | 0.0628472i | ||||
\(329\) | 340.224 | − | 218.648i | 0.0570126 | − | 0.0366398i | ||||
\(330\) | −1924.38 | − | 4213.81i | −0.321012 | − | 0.702917i | ||||
\(331\) | 3079.80 | + | 3554.28i | 0.511423 | + | 0.590214i | 0.951462 | − | 0.307765i | \(-0.0995810\pi\) |
−0.440039 | + | 0.897978i | \(0.645036\pi\) | |||||||
\(332\) | −3033.40 | − | 1949.45i | −0.501444 | − | 0.322258i | ||||
\(333\) | −1209.23 | + | 8410.40i | −0.198996 | + | 1.38405i | ||||
\(334\) | 580.399 | − | 4036.76i | 0.0950839 | − | 0.661323i | ||||
\(335\) | −7230.37 | − | 4646.68i | −1.17922 | − | 0.757836i | ||||
\(336\) | −504.606 | − | 582.346i | −0.0819301 | − | 0.0945524i | ||||
\(337\) | −1984.64 | − | 4345.75i | −0.320802 | − | 0.702457i | 0.678687 | − | 0.734427i | \(-0.262549\pi\) |
−0.999489 | + | 0.0319700i | \(0.989822\pi\) | |||||||
\(338\) | 3963.29 | − | 2547.05i | 0.637794 | − | 0.409885i | ||||
\(339\) | −11938.6 | − | 3505.49i | −1.91273 | − | 0.561628i | ||||
\(340\) | 2425.16 | − | 2798.79i | 0.386832 | − | 0.446428i | ||||
\(341\) | −38.9203 | + | 11.4280i | −0.00618079 | + | 0.00181484i | ||||
\(342\) | 2276.22 | − | 4984.24i | 0.359895 | − | 0.788060i | ||||
\(343\) | −303.296 | − | 2109.47i | −0.0477447 | − | 0.332072i | ||||
\(344\) | 5766.69 | 0.903835 | ||||||||
\(345\) | 18431.7 | − | 754.852i | 2.87632 | − | 0.117797i | ||||
\(346\) | 8209.44 | 1.27556 | ||||||||
\(347\) | −291.617 | − | 2028.24i | −0.0451147 | − | 0.313780i | −0.999866 | − | 0.0163740i | \(-0.994788\pi\) |
0.954751 | − | 0.297406i | \(-0.0961213\pi\) | |||||||
\(348\) | 2512.28 | − | 5501.13i | 0.386990 | − | 0.847390i | ||||
\(349\) | 7432.43 | − | 2182.36i | 1.13997 | − | 0.334725i | 0.343350 | − | 0.939207i | \(-0.388438\pi\) |
0.796618 | + | 0.604482i | \(0.206620\pi\) | |||||||
\(350\) | −805.665 | + | 929.788i | −0.123042 | + | 0.141998i | ||||
\(351\) | −838.038 | − | 246.070i | −0.127439 | − | 0.0374195i | ||||
\(352\) | −1524.48 | + | 979.724i | −0.230838 | + | 0.148351i | ||||
\(353\) | 3156.52 | + | 6911.81i | 0.475934 | + | 1.04215i | 0.983562 | + | 0.180573i | \(0.0577952\pi\) |
−0.507628 | + | 0.861576i | \(0.669478\pi\) | |||||||
\(354\) | −6772.97 | − | 7816.42i | −1.01689 | − | 1.17355i | ||||
\(355\) | −14649.6 | − | 9414.74i | −2.19020 | − | 1.40756i | ||||
\(356\) | −637.579 | + | 4434.46i | −0.0949203 | + | 0.660186i | ||||
\(357\) | 268.487 | − | 1867.37i | 0.0398034 | − | 0.276839i | ||||
\(358\) | 1068.08 | + | 686.410i | 0.157680 | + | 0.101335i | ||||
\(359\) | 2552.09 | + | 2945.27i | 0.375193 | + | 0.432996i | 0.911673 | − | 0.410917i | \(-0.134792\pi\) |
−0.536479 | + | 0.843913i | \(0.680246\pi\) | |||||||
\(360\) | 11430.9 | + | 25030.2i | 1.67350 | + | 3.66446i | ||||
\(361\) | −4446.91 | + | 2857.86i | −0.648333 | + | 0.416658i | ||||
\(362\) | −5222.61 | − | 1533.50i | −0.758272 | − | 0.222649i | ||||
\(363\) | 7288.14 | − | 8410.96i | 1.05380 | − | 1.21615i | ||||
\(364\) | −25.0655 | + | 7.35989i | −0.00360931 | + | 0.00105979i | ||||
\(365\) | −1711.37 | + | 3747.37i | −0.245416 | + | 0.537387i | ||||
\(366\) | −140.382 | − | 976.376i | −0.0200488 | − | 0.139443i | ||||
\(367\) | 1565.60 | 0.222680 | 0.111340 | − | 0.993782i | \(-0.464486\pi\) | ||||
0.111340 | + | 0.993782i | \(0.464486\pi\) | |||||||
\(368\) | 515.681 | + | 2775.07i | 0.0730482 | + | 0.393099i | ||||
\(369\) | 3480.56 | 0.491032 | ||||||||
\(370\) | 708.490 | + | 4927.66i | 0.0995477 | + | 0.692369i | ||||
\(371\) | −248.175 | + | 543.427i | −0.0347294 | + | 0.0760467i | ||||
\(372\) | 97.4469 | − | 28.6130i | 0.0135817 | − | 0.00398794i | ||||
\(373\) | −7950.99 | + | 9175.94i | −1.10372 | + | 1.27376i | −0.144990 | + | 0.989433i | \(0.546315\pi\) |
−0.958728 | + | 0.284326i | \(0.908230\pi\) | |||||||
\(374\) | 1665.08 | + | 488.912i | 0.230212 | + | 0.0675964i | ||||
\(375\) | 7949.55 | − | 5108.87i | 1.09470 | − | 0.703522i | ||||
\(376\) | −1303.72 | − | 2854.76i | −0.178815 | − | 0.391550i | ||||
\(377\) | 301.382 | + | 347.814i | 0.0411723 | + | 0.0475154i | ||||
\(378\) | 2029.15 | + | 1304.06i | 0.276107 | + | 0.177443i | ||||
\(379\) | 1927.68 | − | 13407.3i | 0.261262 | − | 1.81712i | −0.262140 | − | 0.965030i | \(-0.584428\pi\) |
0.523402 | − | 0.852086i | \(-0.324663\pi\) | |||||||
\(380\) | −333.638 | + | 2320.51i | −0.0450402 | + | 0.313262i | ||||
\(381\) | 15651.4 | + | 10058.5i | 2.10458 | + | 1.35253i | ||||
\(382\) | −457.438 | − | 527.912i | −0.0612685 | − | 0.0707076i | ||||
\(383\) | 2113.58 | + | 4628.09i | 0.281981 | + | 0.617453i | 0.996630 | − | 0.0820310i | \(-0.0261406\pi\) |
−0.714649 | + | 0.699484i | \(0.753413\pi\) | |||||||
\(384\) | 279.541 | − | 179.650i | 0.0371492 | − | 0.0238743i | ||||
\(385\) | 682.132 | + | 200.292i | 0.0902979 | + | 0.0265138i | ||||
\(386\) | 3821.66 | − | 4410.43i | 0.503931 | − | 0.581567i | ||||
\(387\) | −14533.1 | + | 4267.31i | −1.90894 | + | 0.560515i | ||||
\(388\) | 1580.47 | − | 3460.75i | 0.206794 | − | 0.452816i | ||||
\(389\) | −230.610 | − | 1603.93i | −0.0300575 | − | 0.209055i | 0.969258 | − | 0.246046i | \(-0.0791316\pi\) |
−0.999316 | + | 0.0369917i | \(0.988222\pi\) | |||||||
\(390\) | −882.640 | −0.114601 | ||||||||
\(391\) | −4307.97 | + | 5403.48i | −0.557195 | + | 0.698889i | ||||
\(392\) | −8147.45 | −1.04977 | ||||||||
\(393\) | −1444.73 | − | 10048.3i | −0.185437 | − | 1.28975i | ||||
\(394\) | 2397.18 | − | 5249.09i | 0.306518 | − | 0.671181i | ||||
\(395\) | −22481.8 | + | 6601.26i | −2.86375 | + | 0.840874i | ||||
\(396\) | 1830.06 | − | 2112.00i | 0.232232 | − | 0.268010i | ||||
\(397\) | −284.562 | − | 83.5549i | −0.0359742 | − | 0.0105630i | 0.263696 | − | 0.964606i | \(-0.415058\pi\) |
−0.299670 | + | 0.954043i | \(0.596877\pi\) | |||||||
\(398\) | 1997.21 | − | 1283.53i | 0.251535 | − | 0.161652i | ||||
\(399\) | 496.122 | + | 1086.36i | 0.0622485 | + | 0.136305i | ||||
\(400\) | 3041.50 | + | 3510.08i | 0.380188 | + | 0.438760i | ||||
\(401\) | 5311.42 | + | 3413.44i | 0.661446 | + | 0.425085i | 0.827833 | − | 0.560975i | \(-0.189574\pi\) |
−0.166387 | + | 0.986061i | \(0.553210\pi\) | |||||||
\(402\) | −1435.09 | + | 9981.24i | −0.178049 | + | 1.23836i | ||||
\(403\) | −1.09991 | + | 7.65006i | −0.000135957 | + | 0.000945600i | ||||
\(404\) | −1875.01 | − | 1205.00i | −0.230904 | − | 0.148393i | ||||
\(405\) | −19083.1 | − | 22023.1i | −2.34135 | − | 2.70206i | ||||
\(406\) | −527.979 | − | 1156.11i | −0.0645398 | − | 0.141323i | ||||
\(407\) | 1433.12 | − | 921.008i | 0.174538 | − | 0.112169i | ||||
\(408\) | −14046.9 | − | 4124.54i | −1.70447 | − | 0.500479i | ||||
\(409\) | 2354.99 | − | 2717.80i | 0.284710 | − | 0.328573i | −0.595322 | − | 0.803487i | \(-0.702975\pi\) |
0.880032 | + | 0.474914i | \(0.157521\pi\) | |||||||
\(410\) | 1956.66 | − | 574.527i | 0.235689 | − | 0.0692046i | ||||
\(411\) | 4182.80 | − | 9159.06i | 0.502001 | − | 1.09923i | ||||
\(412\) | 514.911 | + | 3581.28i | 0.0615724 | + | 0.428245i | ||||
\(413\) | 1587.26 | 0.189113 | ||||||||
\(414\) | −6892.61 | − | 13591.6i | −0.818245 | − | 1.61350i | ||||
\(415\) | 18696.9 | 2.21155 | ||||||||
\(416\) | 49.1382 | + | 341.764i | 0.00579134 | + | 0.0402797i | ||||
\(417\) | 4331.52 | − | 9484.71i | 0.508670 | − | 1.11383i | ||||
\(418\) | −1054.07 | + | 309.503i | −0.123340 | + | 0.0362160i | ||||
\(419\) | 1809.19 | − | 2087.91i | 0.210942 | − | 0.243440i | −0.640412 | − | 0.768031i | \(-0.721237\pi\) |
0.851354 | + | 0.524592i | \(0.175782\pi\) | |||||||
\(420\) | −1707.89 | − | 501.483i | −0.198421 | − | 0.0582616i | ||||
\(421\) | −10089.9 | + | 6484.41i | −1.16806 | + | 0.750667i | −0.973154 | − | 0.230155i | \(-0.926077\pi\) |
−0.194906 | + | 0.980822i | \(0.562440\pi\) | |||||||
\(422\) | 2700.83 | + | 5913.99i | 0.311551 | + | 0.682201i | ||||
\(423\) | 5398.12 | + | 6229.76i | 0.620486 | + | 0.716079i | ||||
\(424\) | 3900.04 | + | 2506.40i | 0.446704 | + | 0.287079i | ||||
\(425\) | −1618.30 | + | 11255.5i | −0.184704 | + | 1.28464i | ||||
\(426\) | −2907.66 | + | 20223.2i | −0.330696 | + | 2.30004i | ||||
\(427\) | 127.352 | + | 81.8440i | 0.0144332 | + | 0.00927566i | ||||
\(428\) | −1554.59 | − | 1794.10i | −0.175570 | − | 0.202619i | ||||
\(429\) | 125.469 | + | 274.739i | 0.0141205 | + | 0.0309196i | ||||
\(430\) | −7465.65 | + | 4797.88i | −0.837269 | + | 0.538080i | ||||
\(431\) | 9117.97 | + | 2677.28i | 1.01902 | + | 0.299211i | 0.748238 | − | 0.663430i | \(-0.230900\pi\) |
0.270780 | + | 0.962641i | \(0.412718\pi\) | |||||||
\(432\) | 5963.08 | − | 6881.76i | 0.664117 | − | 0.766432i | ||||
\(433\) | −14722.0 | + | 4322.78i | −1.63394 | + | 0.479768i | −0.964716 | − | 0.263294i | \(-0.915191\pi\) |
−0.669223 | + | 0.743062i | \(0.733373\pi\) | |||||||
\(434\) | 8.86659 | − | 19.4151i | 0.000980668 | − | 0.00214736i | ||||
\(435\) | 4462.76 | + | 31039.2i | 0.491892 | + | 3.42118i | ||||
\(436\) | −4947.24 | −0.543417 | ||||||||
\(437\) | 444.874 | − | 4352.02i | 0.0486985 | − | 0.476397i | ||||
\(438\) | 4833.42 | 0.527282 | ||||||||
\(439\) | −1252.64 | − | 8712.29i | −0.136185 | − | 0.947186i | −0.937262 | − | 0.348625i | \(-0.886649\pi\) |
0.801077 | − | 0.598561i | \(-0.204261\pi\) | |||||||
\(440\) | 2291.79 | − | 5018.32i | 0.248311 | − | 0.543725i | ||||
\(441\) | 20533.0 | − | 6029.05i | 2.21715 | − | 0.651014i | ||||
\(442\) | 216.529 | − | 249.888i | 0.0233015 | − | 0.0268913i | ||||
\(443\) | 3406.02 | + | 1000.10i | 0.365293 | + | 0.107260i | 0.459228 | − | 0.888319i | \(-0.348126\pi\) |
−0.0939343 | + | 0.995578i | \(0.529944\pi\) | |||||||
\(444\) | −3588.17 | + | 2305.98i | −0.383530 | + | 0.246480i | ||||
\(445\) | −9650.13 | − | 21130.8i | −1.02800 | − | 2.25101i | ||||
\(446\) | −1859.97 | − | 2146.52i | −0.197472 | − | 0.227894i | ||||
\(447\) | 13017.3 | + | 8365.73i | 1.37740 | + | 0.885203i | ||||
\(448\) | 227.540 | − | 1582.57i | 0.0239961 | − | 0.166896i | ||||
\(449\) | −1216.53 | + | 8461.18i | −0.127866 | + | 0.889327i | 0.820386 | + | 0.571809i | \(0.193758\pi\) |
−0.948252 | + | 0.317518i | \(0.897151\pi\) | |||||||
\(450\) | −21095.5 | − | 13557.2i | −2.20989 | − | 1.42021i | ||||
\(451\) | −456.976 | − | 527.378i | −0.0477121 | − | 0.0550627i | ||||
\(452\) | −1826.94 | − | 4000.44i | −0.190115 | − | 0.416294i | ||||
\(453\) | 1887.11 | − | 1212.77i | 0.195726 | − | 0.125786i | ||||
\(454\) | 3331.03 | + | 978.079i | 0.344346 | + | 0.101109i | ||||
\(455\) | 88.7054 | − | 102.371i | 0.00913972 | − | 0.0105478i | ||||
\(456\) | 8892.30 | − | 2611.02i | 0.913202 | − | 0.268140i | ||||
\(457\) | −2535.54 | + | 5552.07i | −0.259536 | + | 0.568304i | −0.993879 | − | 0.110474i | \(-0.964763\pi\) |
0.734343 | + | 0.678778i | \(0.237490\pi\) | |||||||
\(458\) | −1037.11 | − | 7213.27i | −0.105810 | − | 0.735926i | ||||
\(459\) | 22294.1 | 2.26711 | ||||||||
\(460\) | 4467.88 | + | 4748.79i | 0.452861 | + | 0.481334i | ||||
\(461\) | −3590.11 | −0.362707 | −0.181354 | − | 0.983418i | \(-0.558048\pi\) | ||||
−0.181354 | + | 0.983418i | \(0.558048\pi\) | |||||||
\(462\) | −118.705 | − | 825.615i | −0.0119539 | − | 0.0831409i | ||||
\(463\) | −2515.63 | + | 5508.46i | −0.252508 | + | 0.552915i | −0.992857 | − | 0.119307i | \(-0.961933\pi\) |
0.740350 | + | 0.672222i | \(0.234660\pi\) | |||||||
\(464\) | −4603.73 | + | 1351.78i | −0.460610 | + | 0.135247i | ||||
\(465\) | −344.859 | + | 397.989i | −0.0343924 | + | 0.0396909i | ||||
\(466\) | −11479.7 | − | 3370.75i | −1.14118 | − | 0.335080i | ||||
\(467\) | 7236.33 | − | 4650.51i | 0.717039 | − | 0.460813i | −0.130567 | − | 0.991440i | \(-0.541680\pi\) |
0.847606 | + | 0.530626i | \(0.178043\pi\) | |||||||
\(468\) | −221.194 | − | 484.347i | −0.0218476 | − | 0.0478396i | ||||
\(469\) | −1013.43 | − | 1169.56i | −0.0997780 | − | 0.115150i | ||||
\(470\) | 4062.98 | + | 2611.12i | 0.398747 | + | 0.256259i | ||||
\(471\) | 2758.48 | − | 19185.6i | 0.269860 | − | 1.87692i | ||||
\(472\) | 1752.93 | − | 12191.9i | 0.170943 | − | 1.18893i | ||||
\(473\) | 2554.69 | + | 1641.80i | 0.248340 | + | 0.159598i | ||||
\(474\) | 18002.5 | + | 20776.0i | 1.74448 | + | 2.01323i | ||||
\(475\) | −2990.37 | − | 6547.99i | −0.288858 | − | 0.632510i | ||||
\(476\) | 560.958 | − | 360.506i | 0.0540157 | − | 0.0347138i | ||||
\(477\) | −11683.5 | − | 3430.59i | −1.12149 | − | 0.329300i | ||||
\(478\) | −280.336 | + | 323.525i | −0.0268249 | + | 0.0309575i | ||||
\(479\) | 6822.50 | − | 2003.27i | 0.650789 | − | 0.191089i | 0.0603580 | − | 0.998177i | \(-0.480776\pi\) |
0.590431 | + | 0.807088i | \(0.298958\pi\) | |||||||
\(480\) | −9773.18 | + | 21400.3i | −0.929338 | + | 2.03497i | ||||
\(481\) | −46.1933 | − | 321.281i | −0.00437886 | − | 0.0304557i | ||||
\(482\) | 9127.34 | 0.862529 | ||||||||
\(483\) | 3222.63 | + | 804.596i | 0.303592 | + | 0.0757979i | ||||
\(484\) | 3933.67 | 0.369428 | ||||||||
\(485\) | 2807.51 | + | 19526.6i | 0.262850 | + | 1.82816i | ||||
\(486\) | −5620.55 | + | 12307.3i | −0.524595 | + | 1.14870i | ||||
\(487\) | 4375.75 | − | 1284.84i | 0.407155 | − | 0.119551i | −0.0717408 | − | 0.997423i | \(-0.522855\pi\) |
0.478896 | + | 0.877872i | \(0.341037\pi\) | |||||||
\(488\) | 769.295 | − | 887.814i | 0.0713614 | − | 0.0823554i | ||||
\(489\) | −15018.2 | − | 4409.75i | −1.38885 | − | 0.407803i | ||||
\(490\) | 10547.8 | − | 6778.66i | 0.972452 | − | 0.624957i | ||||
\(491\) | −4224.36 | − | 9250.05i | −0.388274 | − | 0.850201i | −0.998326 | − | 0.0578400i | \(-0.981579\pi\) |
0.610052 | − | 0.792361i | \(-0.291149\pi\) | |||||||
\(492\) | 1144.16 | + | 1320.43i | 0.104843 | + | 0.120995i | ||||
\(493\) | −9882.45 | − | 6351.06i | −0.902805 | − | 0.580198i | ||||
\(494\) | −29.7887 | + | 207.185i | −0.00271307 | + | 0.0188698i | ||||
\(495\) | −2062.21 | + | 14343.0i | −0.187251 | + | 1.30236i | ||||
\(496\) | −67.7852 | − | 43.5629i | −0.00613638 | − | 0.00394361i | ||||
\(497\) | −2053.33 | − | 2369.67i | −0.185321 | − | 0.213872i | ||||
\(498\) | −9112.66 | − | 19953.9i | −0.819976 | − | 1.79550i | ||||
\(499\) | 4867.21 | − | 3127.96i | 0.436646 | − | 0.280615i | −0.303794 | − | 0.952738i | \(-0.598254\pi\) |
0.740440 | + | 0.672123i | \(0.234617\pi\) | |||||||
\(500\) | 3204.71 | + | 940.987i | 0.286638 | + | 0.0841644i | ||||
\(501\) | −11864.7 | + | 13692.5i | −1.05803 | + | 1.22103i | ||||
\(502\) | −10850.3 | + | 3185.94i | −0.964689 | + | 0.283258i | ||||
\(503\) | 6659.26 | − | 14581.7i | 0.590301 | − | 1.29258i | −0.344958 | − | 0.938618i | \(-0.612107\pi\) |
0.935260 | − | 0.353962i | \(-0.115166\pi\) | |||||||
\(504\) | 705.115 | + | 4904.18i | 0.0623180 | + | 0.433432i | ||||
\(505\) | 11557.0 | 1.01837 | ||||||||
\(506\) | −1154.45 | + | 2828.86i | −0.101426 | + | 0.248534i | ||||
\(507\) | −20929.5 | −1.83335 | ||||||||
\(508\) | 935.851 | + | 6508.99i | 0.0817356 | + | 0.568484i | ||||
\(509\) | −2268.25 | + | 4966.77i | −0.197521 | + | 0.432511i | −0.982312 | − | 0.187249i | \(-0.940043\pi\) |
0.784791 | + | 0.619760i | \(0.212770\pi\) | |||||||
\(510\) | 21616.9 | − | 6347.31i | 1.87689 | − | 0.551105i | ||||
\(511\) | −485.759 | + | 560.595i | −0.0420523 | + | 0.0485309i | ||||
\(512\) | −8258.77 | − | 2424.99i | −0.712870 | − | 0.209317i | ||||
\(513\) | −11872.7 | + | 7630.15i | −1.02182 | + | 0.656685i | ||||
\(514\) | −121.275 | − | 265.554i | −0.0104070 | − | 0.0227881i | ||||
\(515\) | −12285.6 | − | 14178.4i | −1.05120 | − | 1.21315i | ||||
\(516\) | −6396.33 | − | 4110.67i | −0.545703 | − | 0.350702i | ||||
\(517\) | 235.201 | − | 1635.86i | 0.0200080 | − | 0.139158i | ||||
\(518\) | −127.569 | + | 887.262i | −0.0108206 | + | 0.0752588i | ||||
\(519\) | −30681.1 | − | 19717.5i | −2.59489 | − | 1.66764i | ||||
\(520\) | −688.361 | − | 794.411i | −0.0580512 | − | 0.0669946i | ||||
\(521\) | 7492.94 | + | 16407.3i | 0.630080 | + | 1.37968i | 0.907956 | + | 0.419066i | \(0.137642\pi\) |
−0.277876 | + | 0.960617i | \(0.589630\pi\) | |||||||
\(522\) | 21793.0 | − | 14005.5i | 1.82731 | − | 1.17434i | ||||
\(523\) | 15099.2 | + | 4433.52i | 1.26241 | + | 0.370677i | 0.843391 | − | 0.537300i | \(-0.180556\pi\) |
0.419019 | + | 0.907977i | \(0.362374\pi\) | |||||||
\(524\) | 2349.72 | − | 2711.72i | 0.195893 | − | 0.226072i | ||||
\(525\) | 5244.18 | − | 1539.83i | 0.435952 | − | 0.128007i | ||||
\(526\) | −390.502 | + | 855.081i | −0.0323702 | + | 0.0708808i | ||||
\(527\) | −28.0755 | − | 195.269i | −0.00232066 | − | 0.0161405i | ||||
\(528\) | −3148.87 | −0.259539 | ||||||||
\(529\) | −8692.91 | − | 8512.89i | −0.714466 | − | 0.699670i | ||||
\(530\) | −7134.37 | −0.584712 | ||||||||
\(531\) | 4604.20 | + | 32022.9i | 0.376281 | + | 2.61709i | ||||
\(532\) | −175.355 | + | 383.975i | −0.0142906 | + | 0.0312921i | ||||
\(533\) | −127.573 | + | 37.4590i | −0.0103674 | + | 0.00304414i | ||||
\(534\) | −17848.2 | + | 20597.9i | −1.44638 | + | 1.66921i | ||||
\(535\) | 11810.7 | + | 3467.94i | 0.954434 | + | 0.280247i | ||||
\(536\) | −10102.7 | + | 6492.62i | −0.814124 | + | 0.523206i | ||||
\(537\) | −2343.08 | − | 5130.62i | −0.188289 | − | 0.412296i | ||||
\(538\) | 3284.11 | + | 3790.06i | 0.263174 | + | 0.303720i | ||||
\(539\) | −3609.38 | − | 2319.61i | −0.288436 | − | 0.185367i | ||||
\(540\) | 2993.55 | − | 20820.6i | 0.238559 | − | 1.65922i | ||||
\(541\) | −2149.18 | + | 14947.9i | −0.170796 | + | 1.18791i | 0.706412 | + | 0.707801i | \(0.250313\pi\) |
−0.877208 | + | 0.480111i | \(0.840596\pi\) | |||||||
\(542\) | −2041.92 | − | 1312.26i | −0.161823 | − | 0.103997i | ||||
\(543\) | 15835.2 | + | 18274.8i | 1.25148 | + | 1.44429i | ||||
\(544\) | −3661.17 | − | 8016.85i | −0.288550 | − | 0.631837i | ||||
\(545\) | 21580.3 | − | 13868.8i | 1.69614 | − | 1.09004i | ||||
\(546\) | −152.488 | − | 44.7746i | −0.0119522 | − | 0.00350948i | ||||
\(547\) | −9131.83 | + | 10538.7i | −0.713800 | + | 0.823769i | −0.990547 | − | 0.137173i | \(-0.956198\pi\) |
0.276747 | + | 0.960943i | \(0.410744\pi\) | |||||||
\(548\) | 3414.74 | − | 1002.66i | 0.266187 | − | 0.0781596i | ||||
\(549\) | −1281.79 | + | 2806.72i | −0.0996455 | + | 0.218193i | ||||
\(550\) | 715.495 | + | 4976.38i | 0.0554706 | + | 0.385806i | ||||
\(551\) | 7436.54 | 0.574968 | ||||||||
\(552\) | 9739.16 | − | 23864.8i | 0.750953 | − | 1.84013i | ||||
\(553\) | −4218.92 | −0.324424 | ||||||||
\(554\) | 467.163 | + | 3249.19i | 0.0358265 | + | 0.249179i | ||||
\(555\) | 9187.46 | − | 20117.7i | 0.702677 | − | 1.53865i | ||||
\(556\) | 3536.15 | − | 1038.31i | 0.269723 | − | 0.0791979i | ||||
\(557\) | 11907.5 | − | 13741.9i | 0.905809 | − | 1.04536i | −0.0929562 | − | 0.995670i | \(-0.529632\pi\) |
0.998765 | − | 0.0496886i | \(-0.0158229\pi\) | |||||||
\(558\) | 417.419 | + | 122.565i | 0.0316680 | + | 0.00929857i | ||||
\(559\) | 486.758 | − | 312.820i | 0.0368294 | − | 0.0236688i | ||||
\(560\) | 586.655 | + | 1284.60i | 0.0442691 | + | 0.0969359i | ||||
\(561\) | −5048.62 | − | 5826.41i | −0.379951 | − | 0.438487i | ||||
\(562\) | 16140.3 | + | 10372.7i | 1.21145 | + | 0.778552i | ||||
\(563\) | 132.648 | − | 922.584i | 0.00992971 | − | 0.0690626i | −0.984254 | − | 0.176760i | \(-0.943439\pi\) |
0.994184 | + | 0.107697i | \(0.0343476\pi\) | |||||||
\(564\) | −588.885 | + | 4095.79i | −0.0439655 | + | 0.305787i | ||||
\(565\) | 19183.8 | + | 12328.7i | 1.42844 | + | 0.918005i | ||||
\(566\) | −8536.26 | − | 9851.36i | −0.633932 | − | 0.731597i | ||||
\(567\) | −2179.68 | − | 4772.84i | −0.161443 | − | 0.353511i | ||||
\(568\) | −20469.3 | + | 13154.8i | −1.51210 | + | 0.971769i | ||||
\(569\) | 1833.64 | + | 538.406i | 0.135097 | + | 0.0396681i | 0.348582 | − | 0.937278i | \(-0.386663\pi\) |
−0.213485 | + | 0.976946i | \(0.568481\pi\) | |||||||
\(570\) | −9339.75 | + | 10778.6i | −0.686314 | + | 0.792049i | ||||
\(571\) | 9154.86 | − | 2688.11i | 0.670961 | − | 0.197012i | 0.0715302 | − | 0.997438i | \(-0.477212\pi\) |
0.599431 | + | 0.800426i | \(0.295394\pi\) | |||||||
\(572\) | −44.3473 | + | 97.1071i | −0.00324170 | + | 0.00709834i | ||||
\(573\) | 441.635 | + | 3071.64i | 0.0321982 | + | 0.223943i | ||||
\(574\) | 367.185 | 0.0267003 | ||||||||
\(575\) | −19424.4 | − | 4849.68i | −1.40879 | − | 0.351732i | ||||
\(576\) | 32588.4 | 2.35738 | ||||||||
\(577\) | −2330.77 | − | 16210.8i | −0.168165 | − | 1.16961i | −0.882674 | − | 0.469985i | \(-0.844259\pi\) |
0.714510 | − | 0.699626i | \(-0.246650\pi\) | |||||||
\(578\) | 882.482 | − | 1932.37i | 0.0635059 | − | 0.139058i | ||||
\(579\) | −24875.7 | + | 7304.15i | −1.78549 | + | 0.524266i | ||||
\(580\) | −7258.26 | + | 8376.48i | −0.519626 | + | 0.599680i | ||||
\(581\) | 3230.15 | + | 948.456i | 0.230652 | + | 0.0677256i | ||||
\(582\) | 19471.1 | − | 12513.3i | 1.38678 | − | 0.891228i | ||||
\(583\) | 1014.16 | + | 2220.71i | 0.0720453 | + | 0.157757i | ||||
\(584\) | 3769.53 | + | 4350.26i | 0.267096 | + | 0.308245i | ||||
\(585\) | 2322.65 | + | 1492.68i | 0.164154 | + | 0.105495i | ||||
\(586\) | 1237.08 | − | 8604.09i | 0.0872071 | − | 0.606539i | ||||
\(587\) | 3090.16 | − | 21492.5i | 0.217282 | − | 1.51123i | −0.530728 | − | 0.847542i | \(-0.678081\pi\) |
0.748010 | − | 0.663687i | \(-0.231009\pi\) | |||||||
\(588\) | 9037.02 | + | 5807.74i | 0.633810 | + | 0.407325i | ||||
\(589\) | 81.7824 | + | 94.3819i | 0.00572119 | + | 0.00660261i | ||||
\(590\) | 7874.26 | + | 17242.2i | 0.549454 | + | 1.20314i | ||||
\(591\) | −21566.3 | + | 13859.8i | −1.50104 | + | 0.964663i | ||||
\(592\) | 3246.91 | + | 953.379i | 0.225417 | + | 0.0661885i | ||||
\(593\) | 1863.56 | − | 2150.67i | 0.129051 | − | 0.148933i | −0.687546 | − | 0.726141i | \(-0.741312\pi\) |
0.816598 | + | 0.577207i | \(0.195858\pi\) | |||||||
\(594\) | 9457.59 | − | 2777.00i | 0.653282 | − | 0.191821i | ||||
\(595\) | −1436.32 | + | 3145.11i | −0.0989639 | + | 0.216701i | ||||
\(596\) | 778.352 | + | 5413.56i | 0.0534942 | + | 0.372060i | ||||
\(597\) | −10546.9 | −0.723044 | ||||||||
\(598\) | 398.913 | + | 423.993i | 0.0272789 | + | 0.0289939i | ||||
\(599\) | −17924.9 | −1.22269 | −0.611344 | − | 0.791365i | \(-0.709371\pi\) | ||||
−0.611344 | + | 0.791365i | \(0.709371\pi\) | |||||||
\(600\) | −6036.03 | − | 41981.5i | −0.410700 | − | 2.85648i | ||||
\(601\) | −5440.61 | + | 11913.3i | −0.369263 | + | 0.808574i | 0.630220 | + | 0.776417i | \(0.282965\pi\) |
−0.999483 | + | 0.0321568i | \(0.989762\pi\) | |||||||
\(602\) | −1533.18 | + | 450.183i | −0.103800 | + | 0.0304785i | ||||
\(603\) | 20656.2 | − | 23838.5i | 1.39500 | − | 1.60992i | ||||
\(604\) | 760.751 | + | 223.377i | 0.0512492 | + | 0.0150481i | ||||
\(605\) | −17159.0 | + | 11027.4i | −1.15308 | + | 0.741038i | ||||
\(606\) | −5632.74 | − | 12334.0i | −0.377581 | − | 0.826788i | ||||
\(607\) | 6012.78 | + | 6939.12i | 0.402061 | + | 0.464004i | 0.920289 | − | 0.391239i | \(-0.127953\pi\) |
−0.518228 | + | 0.855243i | \(0.673408\pi\) | |||||||
\(608\) | 4693.52 | + | 3016.34i | 0.313071 | + | 0.201199i | ||||
\(609\) | −803.553 | + | 5588.83i | −0.0534673 | + | 0.371874i | ||||
\(610\) | −257.281 | + | 1789.43i | −0.0170771 | + | 0.118774i | ||||
\(611\) | −264.905 | − | 170.244i | −0.0175399 | − | 0.0112722i | ||||
\(612\) | 8900.38 | + | 10271.6i | 0.587870 | + | 0.678438i | ||||
\(613\) | 4564.31 | + | 9994.43i | 0.300735 | + | 0.658518i | 0.998317 | − | 0.0579868i | \(-0.0184681\pi\) |
−0.697582 | + | 0.716505i | \(0.745741\pi\) | |||||||
\(614\) | −15631.4 | + | 10045.7i | −1.02742 | + | 0.660280i | ||||
\(615\) | −8692.50 | − | 2552.35i | −0.569944 | − | 0.167351i | ||||
\(616\) | 650.509 | − | 750.727i | 0.0425483 | − | 0.0491033i | ||||
\(617\) | −20025.5 | + | 5880.01i | −1.30664 | + | 0.383664i | −0.859653 | − | 0.510878i | \(-0.829320\pi\) |
−0.446985 | + | 0.894541i | \(0.647502\pi\) | |||||||
\(618\) | −9143.75 | + | 20022.0i | −0.595171 | + | 1.30324i | ||||
\(619\) | 817.955 | + | 5689.00i | 0.0531121 | + | 0.369403i | 0.998992 | + | 0.0448862i | \(0.0142925\pi\) |
−0.945880 | + | 0.324517i | \(0.894798\pi\) | |||||||
\(620\) | −186.133 | −0.0120569 | ||||||||
\(621\) | −3991.62 | + | 39048.3i | −0.257936 | + | 2.52328i | ||||
\(622\) | −4728.72 | −0.304830 | ||||||||
\(623\) | −595.268 | − | 4140.18i | −0.0382807 | − | 0.266248i | ||||
\(624\) | −249.236 | + | 545.751i | −0.0159895 | + | 0.0350120i | ||||
\(625\) | 5151.86 | − | 1512.72i | 0.329719 | − | 0.0968142i | ||||
\(626\) | 3049.74 | − | 3519.59i | 0.194716 | − | 0.224714i | ||||
\(627\) | 4682.73 | + | 1374.97i | 0.298262 | + | 0.0875775i | ||||
\(628\) | 5763.37 | − | 3703.90i | 0.366216 | − | 0.235353i | ||||
\(629\) | 3441.75 | + | 7536.39i | 0.218174 | + | 0.477735i | ||||
\(630\) | −4993.12 | − | 5762.37i | −0.315763 | − | 0.364410i | ||||
\(631\) | −6631.34 | − | 4261.70i | −0.418367 | − | 0.268868i | 0.314477 | − | 0.949265i | \(-0.398171\pi\) |
−0.732844 | + | 0.680397i | \(0.761807\pi\) | |||||||
\(632\) | −4659.26 | + | 32405.9i | −0.293252 | + | 2.03961i | ||||
\(633\) | 4110.50 | − | 28589.2i | 0.258101 | − | 1.79513i | ||||
\(634\) | 8248.95 | + | 5301.28i | 0.516732 | + | 0.332083i | ||||
\(635\) | −22329.2 | − | 25769.2i | −1.39544 | − | 1.61043i | ||||
\(636\) | −2539.22 | − | 5560.12i | −0.158312 | − | 0.346656i | ||||
\(637\) | −687.713 | + | 441.966i | −0.0427758 | + | 0.0274903i | ||||
\(638\) | −4983.42 | − | 1463.26i | −0.309240 | − | 0.0908012i | ||||
\(639\) | 41851.9 | − | 48299.7i | 2.59098 | − | 2.99015i | ||||
\(640\) | −584.330 | + | 171.575i | −0.0360901 | + | 0.0105970i | ||||
\(641\) | 6315.38 | − | 13828.8i | 0.389146 | − | 0.852111i | −0.609111 | − | 0.793085i | \(-0.708473\pi\) |
0.998256 | − | 0.0590254i | \(-0.0187993\pi\) | |||||||
\(642\) | −2055.32 | − | 14295.0i | −0.126350 | − | 0.878786i | ||||
\(643\) | 5844.75 | 0.358468 | 0.179234 | − | 0.983807i | \(-0.442638\pi\) | ||||
0.179234 | + | 0.983807i | \(0.442638\pi\) | |||||||
\(644\) | 530.992 | + | 1047.07i | 0.0324907 | + | 0.0640687i | ||||
\(645\) | 39424.9 | 2.40675 | ||||||||
\(646\) | −760.362 | − | 5288.44i | −0.0463097 | − | 0.322091i | ||||
\(647\) | −9001.19 | + | 19709.9i | −0.546945 | + | 1.19764i | 0.411249 | + | 0.911523i | \(0.365093\pi\) |
−0.958194 | + | 0.286120i | \(0.907635\pi\) | |||||||
\(648\) | −39067.8 | + | 11471.3i | −2.36841 | + | 0.695427i | ||||
\(649\) | 4247.63 | − | 4902.03i | 0.256909 | − | 0.296489i | ||||
\(650\) | 919.121 | + | 269.878i | 0.0554629 | + | 0.0162854i | ||||
\(651\) | −79.7684 | + | 51.2640i | −0.00480241 | + | 0.00308632i | ||||
\(652\) | −2298.21 | − | 5032.37i | −0.138044 | − | 0.302275i | ||||
\(653\) | −10467.9 | − | 12080.6i | −0.627322 | − | 0.723968i | 0.349758 | − | 0.936840i | \(-0.386264\pi\) |
−0.977080 | + | 0.212872i | \(0.931718\pi\) | |||||||
\(654\) | −25319.2 | − | 16271.7i | −1.51385 | − | 0.972894i | ||||
\(655\) | −2647.79 | + | 18415.8i | −0.157951 | + | 1.09857i | ||||
\(656\) | 197.273 | − | 1372.07i | 0.0117412 | − | 0.0816619i | ||||
\(657\) | −12719.0 | − | 8174.04i | −0.755278 | − | 0.485387i | ||||
\(658\) | 569.479 | + | 657.214i | 0.0337395 | + | 0.0389375i | ||||
\(659\) | 9143.17 | + | 20020.7i | 0.540466 | + | 1.18346i | 0.961094 | + | 0.276223i | \(0.0890827\pi\) |
−0.420627 | + | 0.907234i | \(0.638190\pi\) | |||||||
\(660\) | −6119.23 | + | 3932.59i | −0.360895 | + | 0.231933i | ||||
\(661\) | −23767.3 | − | 6978.70i | −1.39855 | − | 0.410650i | −0.506362 | − | 0.862321i | \(-0.669010\pi\) |
−0.892185 | + | 0.451671i | \(0.850828\pi\) | |||||||
\(662\) | −6622.37 | + | 7642.62i | −0.388800 | + | 0.448699i | ||||
\(663\) | −1409.42 | + | 413.842i | −0.0825599 | + | 0.0242418i | ||||
\(664\) | 10852.5 | − | 23763.6i | 0.634273 | − | 1.38886i | ||||
\(665\) | −311.497 | − | 2166.51i | −0.0181644 | − | 0.126336i | ||||
\(666\) | −18270.5 | −1.06302 | ||||||||
\(667\) | 12893.3 | − | 16172.0i | 0.748472 | − | 0.938807i | ||||
\(668\) | −6403.78 | −0.370913 | ||||||||
\(669\) | 1795.72 | + | 12489.5i | 0.103776 | + | 0.721781i | ||||
\(670\) | 7677.27 | − | 16810.9i | 0.442685 | − | 0.969345i | ||||
\(671\) | 593.568 | − | 174.287i | 0.0341497 | − | 0.0100272i | ||||
\(672\) | −2774.05 | + | 3201.42i | −0.159243 | + | 0.183776i | ||||
\(673\) | 32523.7 | + | 9549.81i | 1.86285 | + | 0.546981i | 0.999071 | + | 0.0431030i | \(0.0137244\pi\) |
0.863775 | + | 0.503878i | \(0.168094\pi\) | |||||||
\(674\) | 8642.06 | − | 5553.91i | 0.493887 | − | 0.317402i | ||||
\(675\) | 26830.9 | + | 58751.5i | 1.52996 | + | 3.35014i | ||||
\(676\) | −4844.38 | − | 5590.71i | −0.275624 | − | 0.318088i | ||||
\(677\) | 24305.1 | + | 15620.0i | 1.37980 | + | 0.886742i | 0.999277 | − | 0.0380305i | \(-0.0121084\pi\) |
0.380521 | + | 0.924772i | \(0.375745\pi\) | |||||||
\(678\) | 3807.61 | − | 26482.5i | 0.215679 | − | 1.50008i | ||||
\(679\) | −505.513 | + | 3515.92i | −0.0285711 | + | 0.198717i | ||||
\(680\) | 22571.6 | + | 14505.9i | 1.27292 | + | 0.818053i | ||||
\(681\) | −10099.9 | − | 11655.9i | −0.568322 | − | 0.655879i | ||||
\(682\) | −36.2332 | − | 79.3397i | −0.00203437 | − | 0.00445466i | ||||
\(683\) | 23137.8 | − | 14869.8i | 1.29626 | − | 0.833055i | 0.303459 | − | 0.952844i | \(-0.401858\pi\) |
0.992799 | + | 0.119790i | \(0.0382221\pi\) | |||||||
\(684\) | −8255.34 | − | 2423.99i | −0.461478 | − | 0.135502i | ||||
\(685\) | −12084.6 | + | 13946.3i | −0.674056 | + | 0.777902i | ||||
\(686\) | 4396.93 | − | 1291.05i | 0.244716 | − | 0.0718552i | ||||
\(687\) | −13448.9 | + | 29449.0i | −0.746882 | + | 1.63544i | ||||
\(688\) | 858.491 | + | 5970.94i | 0.0475722 | + | 0.330872i | ||||
\(689\) | 465.158 | 0.0257200 | ||||||||
\(690\) | 7246.98 | + | 38998.7i | 0.399837 | + | 2.15167i | ||||
\(691\) | −640.983 | −0.0352882 | −0.0176441 | − | 0.999844i | \(-0.505617\pi\) | ||||
−0.0176441 | + | 0.999844i | \(0.505617\pi\) | |||||||
\(692\) | −1834.53 | − | 12759.4i | −0.100778 | − | 0.700925i | ||||
\(693\) | −1083.87 | + | 2373.34i | −0.0594123 | + | 0.130095i | ||||
\(694\) | 4227.61 | − | 1241.34i | 0.231236 | − | 0.0678971i | ||||
\(695\) | −12514.2 | + | 14442.2i | −0.683010 | + | 0.788236i | ||||
\(696\) | 42040.9 | + | 12344.3i | 2.28959 | + | 0.672285i | ||||
\(697\) | 2855.05 | − | 1834.83i | 0.155155 | − | 0.0997119i | ||||
\(698\) | 6919.31 | + | 15151.2i | 0.375214 | + | 0.821605i | ||||
\(699\) | 34807.2 | + | 40169.6i | 1.88344 | + | 2.17361i | ||||
\(700\) | 1625.15 | + | 1044.42i | 0.0877497 | + | 0.0563933i | ||||
\(701\) | 4044.96 | − | 28133.3i | 0.217940 | − | 1.51581i | −0.527683 | − | 0.849441i | \(-0.676939\pi\) |
0.745624 | − | 0.666367i | \(-0.232152\pi\) | |||||||
\(702\) | 267.278 | − | 1858.96i | 0.0143700 | − | 0.0999457i | ||||
\(703\) | −4412.23 | − | 2835.57i | −0.236715 | − | 0.152127i | ||||
\(704\) | −4278.65 | − | 4937.83i | −0.229059 | − | 0.264349i | ||||
\(705\) | −8913.11 | − | 19517.0i | −0.476152 | − | 1.04263i | ||||
\(706\) | −13745.0 | + | 8833.37i | −0.732719 | + | 0.470890i | ||||
\(707\) | 1996.62 | + | 586.262i | 0.106210 | + | 0.0311862i | ||||
\(708\) | −10635.0 | + | 12273.5i | −0.564533 | + | 0.651506i | ||||
\(709\) | 3400.02 | − | 998.336i | 0.180099 | − | 0.0528819i | −0.190439 | − | 0.981699i | \(-0.560991\pi\) |
0.370539 | + | 0.928817i | \(0.379173\pi\) | |||||||
\(710\) | 15555.1 | − | 34060.9i | 0.822214 | − | 1.80040i | ||||
\(711\) | −12237.9 | − | 85116.5i | −0.645510 | − | 4.48962i | ||||
\(712\) | −32458.5 | −1.70847 | ||||||||
\(713\) | 347.042 | − | 14.2127i | 0.0182284 | − | 0.000746522i | ||||
\(714\) | 4056.62 | 0.212626 | ||||||||
\(715\) | −78.7775 | − | 547.909i | −0.00412043 | − | 0.0286582i | ||||
\(716\) | 828.166 | − | 1813.43i | 0.0432263 | − | 0.0946523i | ||||
\(717\) | 1824.74 | − | 535.793i | 0.0950436 | − | 0.0279073i | ||||
\(718\) | −5487.67 | + | 6333.11i | −0.285234 | + | 0.329178i | ||||
\(719\) | −5950.56 | − | 1747.24i | −0.308649 | − | 0.0906274i | 0.123740 | − | 0.992315i | \(-0.460511\pi\) |
−0.432389 | + | 0.901687i | \(0.642329\pi\) | |||||||
\(720\) | −24215.0 | + | 15562.0i | −1.25339 | + | 0.805503i | ||||
\(721\) | −1403.27 | − | 3072.74i | −0.0724834 | − | 0.158717i | ||||
\(722\) | −7443.41 | − | 8590.15i | −0.383677 | − | 0.442787i | ||||
\(723\) | −34111.5 | − | 21922.1i | −1.75466 | − | 1.12765i | ||||
\(724\) | −1216.34 | + | 8459.86i | −0.0624379 | + | 0.434265i | ||||
\(725\) | 4843.40 | − | 33686.6i | 0.248109 | − | 1.72564i | ||||
\(726\) | 20131.9 | + | 12938.0i | 1.02916 | + | 0.661398i | ||||
\(727\) | 15616.2 | + | 18022.0i | 0.796659 | + | 0.919394i | 0.998193 | − | 0.0600877i | \(-0.0191380\pi\) |
−0.201534 | + | 0.979482i | \(0.564593\pi\) | |||||||
\(728\) | −78.6250 | − | 172.165i | −0.00400280 | − | 0.00876490i | ||||
\(729\) | 12758.3 | − | 8199.26i | 0.648188 | − | 0.416565i | ||||
\(730\) | −8499.50 | − | 2495.68i | −0.430932 | − | 0.126533i | ||||
\(731\) | −9671.72 | + | 11161.8i | −0.489359 | + | 0.564750i | ||||
\(732\) | −1486.15 | + | 436.373i | −0.0750405 | + | 0.0220339i | ||||
\(733\) | 947.184 | − | 2074.04i | 0.0477286 | − | 0.104511i | −0.884266 | − | 0.466984i | \(-0.845340\pi\) |
0.931994 | + | 0.362473i | \(0.118068\pi\) | |||||||
\(734\) | 479.096 | + | 3332.18i | 0.0240923 | + | 0.167566i | ||||
\(735\) | −55701.2 | −2.79534 | ||||||||
\(736\) | 14697.1 | − | 4977.20i | 0.736061 | − | 0.249269i | ||||
\(737\) | −6324.06 | −0.316078 | ||||||||
\(738\) | 1065.10 | + | 7407.94i | 0.0531259 | + | 0.369499i | ||||
\(739\) | 11302.5 | − | 24749.0i | 0.562610 | − | 1.23194i | −0.388029 | − | 0.921647i | \(-0.626844\pi\) |
0.950640 | − | 0.310297i | \(-0.100429\pi\) | |||||||
\(740\) | 7500.42 | − | 2202.32i | 0.372596 | − | 0.109404i | ||||
\(741\) | 608.948 | − | 702.763i | 0.0301893 | − | 0.0348403i | ||||
\(742\) | −1232.56 | − | 361.913i | −0.0609821 | − | 0.0179060i | ||||
\(743\) | 13979.6 | − | 8984.11i | 0.690256 | − | 0.443601i | −0.147921 | − | 0.988999i | \(-0.547258\pi\) |
0.838177 | + | 0.545399i | \(0.183622\pi\) | |||||||
\(744\) | 305.670 | + | 669.323i | 0.0150624 | + | 0.0329819i | ||||
\(745\) | −18571.3 | − | 21432.4i | −0.913286 | − | 1.05399i | ||||
\(746\) | −21962.9 | − | 14114.7i | −1.07791 | − | 0.692730i | ||||
\(747\) | −9765.32 | + | 67919.3i | −0.478306 | + | 3.32669i | ||||
\(748\) | 387.797 | − | 2697.19i | 0.0189562 | − | 0.131843i | ||||
\(749\) | 1864.55 | + | 1198.27i | 0.0909599 | + | 0.0584564i | ||||
\(750\) | 13306.3 | + | 15356.2i | 0.647834 | + | 0.747641i | ||||
\(751\) | 7504.55 | + | 16432.7i | 0.364641 | + | 0.798451i | 0.999663 | + | 0.0259577i | \(0.00826354\pi\) |
−0.635023 | + | 0.772494i | \(0.719009\pi\) | |||||||
\(752\) | 2761.78 | − | 1774.89i | 0.133925 | − | 0.0860685i | ||||
\(753\) | 48202.8 | + | 14153.6i | 2.33281 | + | 0.684976i | ||||
\(754\) | −648.050 | + | 747.890i | −0.0313005 | + | 0.0361227i | ||||
\(755\) | −3944.65 | + | 1158.26i | −0.190147 | + | 0.0558321i | ||||
\(756\) | 1573.37 | − | 3445.20i | 0.0756916 | − | 0.165741i | ||||
\(757\) | −1134.84 | − | 7892.97i | −0.0544866 | − | 0.378963i | −0.998759 | − | 0.0497986i | \(-0.984142\pi\) |
0.944273 | − | 0.329164i | \(-0.106767\pi\) | |||||||
\(758\) | 29125.6 | 1.39563 | ||||||||
\(759\) | 11108.9 | − | 7799.50i | 0.531262 | − | 0.372996i | ||||
\(760\) | −16985.2 | −0.810679 | ||||||||
\(761\) | 1757.42 | + | 12223.1i | 0.0837139 | + | 0.582243i | 0.987899 | + | 0.155101i | \(0.0495704\pi\) |
−0.904185 | + | 0.427142i | \(0.859520\pi\) | |||||||
\(762\) | −16618.8 | + | 36390.1i | −0.790073 | + | 1.73002i | ||||
\(763\) | 4431.83 | − | 1301.30i | 0.210279 | − | 0.0617435i | ||||
\(764\) | −718.278 | + | 828.937i | −0.0340136 | + | 0.0392538i | ||||
\(765\) | −67618.9 | − | 19854.7i | −3.19577 | − | 0.938363i | ||||
\(766\) | −9203.52 | + | 5914.74i | −0.434121 | + | 0.278993i | ||||
\(767\) | −513.399 | − | 1124.19i | −0.0241692 | − | 0.0529231i | ||||
\(768\) | 25850.6 | + | 29833.2i | 1.21459 | + | 1.40171i | ||||
\(769\) | 48.9228 | + | 31.4408i | 0.00229415 | + | 0.00147436i | 0.541787 | − | 0.840516i | \(-0.317748\pi\) |
−0.539493 | + | 0.841990i | \(0.681384\pi\) | |||||||
\(770\) | −217.554 | + | 1513.12i | −0.0101820 | + | 0.0708172i | ||||
\(771\) | −184.573 | + | 1283.73i | −0.00862156 | + | 0.0599643i | ||||
\(772\) | −7708.86 | − | 4954.18i | −0.359389 | − | 0.230965i | ||||
\(773\) | 5121.57 | + | 5910.60i | 0.238305 | + | 0.275019i | 0.862287 | − | 0.506420i | \(-0.169031\pi\) |
−0.623982 | + | 0.781439i | \(0.714486\pi\) | |||||||
\(774\) | −13529.8 | − | 29626.1i | −0.628317 | − | 1.37582i | ||||
\(775\) | 480.802 | − | 308.993i | 0.0222851 | − | 0.0143217i | ||||
\(776\) | 26447.8 | + | 7765.78i | 1.22348 | + | 0.359246i | ||||
\(777\) | 2607.79 | − | 3009.56i | 0.120404 | − | 0.138954i | ||||
\(778\) | 3343.19 | − | 981.648i | 0.154060 | − | 0.0452362i | ||||
\(779\) | −892.490 | + | 1954.28i | −0.0410485 | + | 0.0898836i | ||||
\(780\) | 197.240 | + | 1371.83i | 0.00905424 | + | 0.0629737i | ||||
\(781\) | −12813.3 | −0.587063 | ||||||||
\(782\) | −12818.9 | − | 7515.43i | −0.586194 | − | 0.343672i | ||||
\(783\) | −66724.0 | −3.04537 | ||||||||
\(784\) | −1212.91 | − | 8436.01i | −0.0552530 | − | 0.384293i | ||||
\(785\) | −14757.0 | + | 32313.4i | −0.670956 | + | 1.46919i | ||||
\(786\) | 20944.4 | − | 6149.84i | 0.950462 | − | 0.279081i | ||||
\(787\) | −5646.95 | + | 6516.93i | −0.255771 | + | 0.295176i | −0.869084 | − | 0.494664i | \(-0.835291\pi\) |
0.613313 | + | 0.789840i | \(0.289837\pi\) | |||||||
\(788\) | −8694.01 | − | 2552.79i | −0.393035 | − | 0.115405i | ||||
\(789\) | 3513.16 | − | 2257.77i | 0.158519 | − | 0.101874i | ||||
\(790\) | −20929.7 | − | 45829.6i | −0.942589 | − | 2.06398i | ||||
\(791\) | 2688.86 | + | 3103.12i | 0.120866 | + | 0.139487i | ||||
\(792\) | 17032.8 | + | 10946.3i | 0.764186 | + | 0.491113i | ||||
\(793\) | 16.7746 | − | 116.670i | 0.000751179 | − | 0.00522456i | ||||
\(794\) | 90.7562 | − | 631.223i | 0.00405644 | − | 0.0282132i | ||||
\(795\) | 26663.2 | + | 17135.4i | 1.18949 | + | 0.764440i | ||||
\(796\) | −2441.21 | − | 2817.31i | −0.108702 | − | 0.125448i | ||||
\(797\) | 6895.62 | + | 15099.3i | 0.306468 | + | 0.671072i | 0.998720 | − | 0.0505843i | \(-0.0161083\pi\) |
−0.692251 | + | 0.721656i | \(0.743381\pi\) | |||||||
\(798\) | −2160.35 | + | 1388.37i | −0.0958341 | + | 0.0615888i | ||||
\(799\) | 7712.11 | + | 2264.48i | 0.341470 | + | 0.100265i | ||||
\(800\) | 16720.5 | − | 19296.5i | 0.738949 | − | 0.852793i | ||||
\(801\) | 81801.2 | − | 24019.0i | 3.60837 | − | 1.05951i | ||||
\(802\) | −5639.72 | + | 12349.3i | −0.248311 | + | 0.543725i | ||||
\(803\) | 431.392 | + | 3000.40i | 0.0189583 | + | 0.131858i | ||||
\(804\) | 15833.9 | 0.694550 | ||||||||
\(805\) | −5251.51 | − | 3078.84i | −0.229927 | − | 0.134801i | ||||
\(806\) | −16.6188 | −0.000726268 | ||||||||
\(807\) | −3170.65 | − | 22052.3i | −0.138305 | − | 0.961932i | ||||
\(808\) | 6708.15 | − | 14688.8i | 0.292069 | − | 0.639542i | ||||
\(809\) | −14982.8 | + | 4399.35i | −0.651135 | + | 0.191190i | −0.590586 | − | 0.806975i | \(-0.701103\pi\) |
−0.0605488 | + | 0.998165i | \(0.519285\pi\) | |||||||
\(810\) | 41033.6 | − | 47355.4i | 1.77997 | − | 2.05419i | ||||
\(811\) | −22925.2 | − | 6731.45i | −0.992617 | − | 0.291459i | −0.255194 | − | 0.966890i | \(-0.582139\pi\) |
−0.737423 | + | 0.675431i | \(0.763958\pi\) | |||||||
\(812\) | −1678.89 | + | 1078.96i | −0.0725584 | + | 0.0466305i | ||||
\(813\) | 4479.44 | + | 9808.61i | 0.193236 | + | 0.423128i | ||||
\(814\) | 2398.80 | + | 2768.37i | 0.103290 | + | 0.119203i | ||||
\(815\) | 24132.4 | + | 15509.0i | 1.03720 | + | 0.666571i | ||||
\(816\) | 2179.45 | − | 15158.4i | 0.0935001 | − | 0.650308i | ||||
\(817\) | 1330.57 | − | 9254.33i | 0.0569778 | − | 0.396289i | ||||
\(818\) | 6505.15 | + | 4180.61i | 0.278053 | + | 0.178694i | ||||
\(819\) | 325.550 | + | 375.704i | 0.0138897 | + | 0.0160295i | ||||
\(820\) | −1330.20 | − | 2912.72i | −0.0566494 | − | 0.124045i | ||||
\(821\) | −30710.1 | + | 19736.2i | −1.30547 | + | 0.838975i | −0.993796 | − | 0.111214i | \(-0.964526\pi\) |
−0.311674 | + | 0.950189i | \(0.600890\pi\) | |||||||
\(822\) | 20773.9 | + | 6099.77i | 0.881476 | + | 0.258825i | ||||
\(823\) | −26229.3 | + | 30270.2i | −1.11093 | + | 1.28208i | −0.155187 | + | 0.987885i | \(0.549598\pi\) |
−0.955744 | + | 0.294198i | \(0.904947\pi\) | |||||||
\(824\) | −25151.7 | + | 7385.21i | −1.06335 | + | 0.312228i | ||||
\(825\) | 9278.30 | − | 20316.6i | 0.391550 | − | 0.857375i | ||||
\(826\) | 485.723 | + | 3378.28i | 0.0204606 | + | 0.142307i | ||||
\(827\) | 10952.2 | 0.460513 | 0.230257 | − | 0.973130i | \(-0.426043\pi\) | ||||
0.230257 | + | 0.973130i | \(0.426043\pi\) | |||||||
\(828\) | −19584.3 | + | 13750.0i | −0.821982 | + | 0.577108i | ||||
\(829\) | −26816.7 | −1.12350 | −0.561752 | − | 0.827306i | \(-0.689872\pi\) | ||||
−0.561752 | + | 0.827306i | \(0.689872\pi\) | |||||||
\(830\) | 5721.51 | + | 39793.9i | 0.239273 | + | 1.66418i | ||||
\(831\) | 6058.01 | − | 13265.2i | 0.252888 | − | 0.553748i | ||||
\(832\) | −1194.47 | + | 350.727i | −0.0497725 | + | 0.0146145i | ||||
\(833\) | 13664.6 | − | 15769.8i | 0.568369 | − | 0.655933i | ||||
\(834\) | 21512.5 | + | 6316.64i | 0.893186 | + | 0.262263i | ||||
\(835\) | 27933.8 | − | 17952.0i | 1.15771 | − | 0.744016i | ||||
\(836\) | 716.588 | + | 1569.11i | 0.0296456 | + | 0.0649148i | ||||
\(837\) | −733.788 | − | 846.837i | −0.0303028 | − | 0.0349713i | ||||
\(838\) | 4997.49 | + | 3211.69i | 0.206009 | + | 0.132394i | ||||
\(839\) | −4027.67 | + | 28013.1i | −0.165734 | + | 1.15270i | 0.721847 | + | 0.692052i | \(0.243293\pi\) |
−0.887581 | + | 0.460652i | \(0.847616\pi\) | |||||||
\(840\) | 1835.33 | − | 12765.0i | 0.0753866 | − | 0.524325i | ||||
\(841\) | 9059.80 | + | 5822.38i | 0.371471 | + | 0.238730i | ||||
\(842\) | −16888.9 | − | 19490.8i | −0.691247 | − | 0.797742i | ||||
\(843\) | −35407.5 | − | 77531.6i | −1.44662 | − | 3.16765i | ||||
\(844\) | 8588.20 | − | 5519.30i | 0.350258 | − | 0.225097i | ||||
\(845\) | 36804.2 | + | 10806.7i | 1.49835 | + | 0.439954i | ||||
\(846\) | −11607.4 | + | 13395.6i | −0.471713 | + | 0.544386i | ||||
\(847\) | −3523.85 | + | 1034.70i | −0.142953 | + | 0.0419748i | ||||
\(848\) | −2014.57 | + | 4411.29i | −0.0815809 | + | 0.178637i | ||||
\(849\) | 8241.35 | + | 57319.8i | 0.333148 | + | 2.31709i | ||||
\(850\) | −24451.2 | −0.986668 | ||||||||
\(851\) | −13816.2 | + | 4678.91i | −0.556539 | + | 0.188474i | ||||
\(852\) | 32081.4 | 1.29001 | ||||||||
\(853\) | −490.038 | − | 3408.29i | −0.0196701 | − | 0.136808i | 0.977620 | − | 0.210379i | \(-0.0674697\pi\) |
−0.997290 | + | 0.0735704i | \(0.976561\pi\) | |||||||
\(854\) | −135.223 | + | 296.097i | −0.00541832 | + | 0.0118645i | ||||
\(855\) | 42805.7 | − | 12568.9i | 1.71219 | − | 0.502745i | ||||
\(856\) | 11263.2 | − | 12998.4i | 0.449728 | − | 0.519014i | ||||
\(857\) | 18114.5 | + | 5318.89i | 0.722029 | + | 0.212007i | 0.622044 | − | 0.782982i | \(-0.286302\pi\) |
0.0999851 | + | 0.994989i | \(0.468120\pi\) | |||||||
\(858\) | −546.352 | + | 351.119i | −0.0217391 | + | 0.0139709i | ||||
\(859\) | 3165.96 | + | 6932.49i | 0.125752 | + | 0.275359i | 0.962028 | − | 0.272949i | \(-0.0879992\pi\) |
−0.836276 | + | 0.548309i | \(0.815272\pi\) | |||||||
\(860\) | 9125.36 | + | 10531.2i | 0.361828 | + | 0.417572i | ||||
\(861\) | −1372.28 | − | 881.908i | −0.0543171 | − | 0.0349075i | ||||
\(862\) | −2908.02 | + | 20225.7i | −0.114904 | + | 0.799178i | ||||
\(863\) | −5129.34 | + | 35675.4i | −0.202323 | + | 1.40719i | 0.595043 | + | 0.803694i | \(0.297135\pi\) |
−0.797367 | + | 0.603495i | \(0.793774\pi\) | |||||||
\(864\) | −42112.4 | − | 27064.0i | −1.65821 | − | 1.06567i | ||||
\(865\) | 43771.3 | + | 50514.8i | 1.72054 | + | 1.98561i | ||||
\(866\) | −13705.6 | − | 30011.1i | −0.537802 | − | 1.17762i | ||||
\(867\) | −7939.26 | + | 5102.25i | −0.310994 | + | 0.199863i | ||||
\(868\) | −32.1571 | − | 9.44216i | −0.00125747 | − | 0.000369226i | ||||
\(869\) | −11290.2 | + | 13029.5i | −0.440728 | + | 0.508627i | ||||
\(870\) | −64697.3 | + | 18996.8i | −2.52120 | + | 0.740291i | ||||
\(871\) | −500.555 | + | 1096.06i | −0.0194726 | + | 0.0426391i | ||||
\(872\) | −5101.02 | − | 35478.4i | −0.198099 | − | 1.37781i | ||||
\(873\) | −72399.9 | −2.80683 | ||||||||
\(874\) | 9398.87 | − | 384.920i | 0.363754 | − | 0.0148972i | ||||
\(875\) | −3118.35 | −0.120479 | ||||||||
\(876\) | −1080.10 | − | 7512.27i | −0.0416590 | − | 0.289745i | ||||
\(877\) | 15673.0 | − | 34319.1i | 0.603466 | − | 1.32141i | −0.323489 | − | 0.946232i | \(-0.604856\pi\) |
0.926955 | − | 0.375174i | \(-0.122417\pi\) | |||||||
\(878\) | 18159.7 | − | 5332.16i | 0.698018 | − | 0.204957i | ||||
\(879\) | −25288.7 | + | 29184.7i | −0.970383 | + | 1.11988i | ||||
\(880\) | 5537.24 | + | 1625.88i | 0.212114 | + | 0.0622823i | ||||
\(881\) | −17369.5 | + | 11162.7i | −0.664236 | + | 0.426878i | −0.828843 | − | 0.559481i | \(-0.811001\pi\) |
0.164608 | + | 0.986359i | \(0.447364\pi\) | |||||||
\(882\) | 19115.5 | + | 41857.0i | 0.729763 | + | 1.59796i | ||||
\(883\) | −24576.7 | − | 28363.0i | −0.936661 | − | 1.08096i | −0.996569 | − | 0.0827605i | \(-0.973626\pi\) |
0.0599085 | − | 0.998204i | \(-0.480919\pi\) | |||||||
\(884\) | −436.772 | − | 280.697i | −0.0166179 | − | 0.0106797i | ||||
\(885\) | 11984.1 | − | 83351.6i | 0.455190 | − | 3.16591i | ||||
\(886\) | −1086.29 | + | 7555.33i | −0.0411904 | + | 0.286486i | ||||
\(887\) | −1991.40 | − | 1279.80i | −0.0753830 | − | 0.0484457i | 0.502406 | − | 0.864632i | \(-0.332448\pi\) |
−0.577789 | + | 0.816186i | \(0.696085\pi\) | |||||||
\(888\) | −20236.7 | − | 23354.4i | −0.764751 | − | 0.882570i | ||||
\(889\) | −2550.45 | − | 5584.71i | −0.0962197 | − | 0.210692i | ||||
\(890\) | 42021.2 | − | 27005.4i | 1.58265 | − | 1.01710i | ||||
\(891\) | −20573.3 | − | 6040.86i | −0.773548 | − | 0.227134i | ||||
\(892\) | −2920.57 | + | 3370.51i | −0.109628 | + | 0.126517i | ||||
\(893\) | −4882.10 | + | 1433.51i | −0.182949 | + | 0.0537186i | ||||
\(894\) | −13821.9 | + | 30265.8i | −0.517085 | + | 1.13226i | ||||
\(895\) | 1471.13 | + | 10232.0i | 0.0549436 | + | 0.382141i | ||||
\(896\) | −109.655 | −0.00408851 | ||||||||
\(897\) | −472.500 | − | 2542.70i | −0.0175879 | − | 0.0946468i | ||||
\(898\) | −18380.8 | −0.683047 | ||||||||
\(899\) | 84.0270 | + | 584.421i | 0.00311731 | + | 0.0216813i | ||||
\(900\) | −16357.0 | + | 35816.9i | −0.605816 | + | 1.32655i | ||||
\(901\) | −11392.3 | + | 3345.08i | −0.421235 | + | 0.123686i | ||||
\(902\) | 982.617 | − | 1134.00i | 0.0362723 | − | 0.0418604i | ||||
\(903\) | 6811.20 | + | 1999.95i | 0.251010 | + | 0.0737033i | ||||
\(904\) | 26804.8 | − | 17226.4i | 0.986189 | − | 0.633785i | ||||
\(905\) | −18410.1 | − | 40312.4i | −0.676211 | − | 1.48070i | ||||
\(906\) | 3158.71 | + | 3645.35i | 0.115829 | + | 0.133674i | ||||
\(907\) | −1291.15 | − | 829.774i | −0.0472680 | − | 0.0303773i | 0.516793 | − | 0.856110i | \(-0.327126\pi\) |
−0.564061 | + | 0.825733i | \(0.690762\pi\) | |||||||
\(908\) | 775.796 | − | 5395.78i | 0.0283543 | − | 0.197208i | ||||
\(909\) | −6036.16 | + | 41982.4i | −0.220250 | + | 1.53187i | ||||
\(910\) | 245.030 | + | 157.471i | 0.00892600 | + | 0.00573639i | ||||
\(911\) | −26063.1 | − | 30078.4i | −0.947870 | − | 1.09390i | −0.995474 | − | 0.0950340i | \(-0.969704\pi\) |
0.0476040 | − | 0.998866i | \(-0.484841\pi\) | |||||||
\(912\) | 4027.29 | + | 8818.54i | 0.146225 | + | 0.320188i | ||||
\(913\) | 11573.3 | − | 7437.72i | 0.419519 | − | 0.269608i | ||||
\(914\) | −12592.8 | − | 3697.58i | −0.455725 | − | 0.133813i | ||||
\(915\) | 5259.40 | − | 6069.67i | 0.190022 | − | 0.219297i | ||||
\(916\) | −10979.4 | + | 3223.83i | −0.396036 | + | 0.116287i | ||||
\(917\) | −1391.64 | + | 3047.26i | −0.0501155 | + | 0.109738i | ||||
\(918\) | 6822.32 | + | 47450.3i | 0.245283 | + | 1.70598i | ||||
\(919\) | 52801.4 | 1.89527 | 0.947637 | − | 0.319350i | \(-0.103465\pi\) | ||||
0.947637 | + | 0.319350i | \(0.103465\pi\) | |||||||
\(920\) | −29448.5 | + | 36937.1i | −1.05531 | + | 1.32368i | ||||
\(921\) | 82547.1 | 2.95333 | ||||||||
\(922\) | −1098.62 | − | 7641.09i | −0.0392421 | − | 0.272935i | ||||
\(923\) | −1014.19 | + | 2220.76i | −0.0361672 | + | 0.0791952i | ||||
\(924\) | −1256.67 | + | 368.993i | −0.0447419 | + | 0.0131374i | ||||
\(925\) | −15718.4 | + | 18140.0i | −0.558723 | + | 0.644801i | ||||
\(926\) | −12493.9 | − | 3668.53i | −0.443385 | − | 0.130189i | ||||
\(927\) | 57921.9 | − | 37224.1i | 2.05222 | − | 1.31888i | ||||
\(928\) | 10957.5 | + | 23993.6i | 0.387605 | + | 0.848737i | ||||
\(929\) | −30504.0 | − | 35203.5i | −1.07729 | − | 1.24326i | −0.968451 | − | 0.249202i | \(-0.919832\pi\) |
−0.108841 | − | 0.994059i | \(-0.534714\pi\) | |||||||
\(930\) | −952.600 | − | 612.199i | −0.0335882 | − | 0.0215858i | ||||
\(931\) | −1879.89 | + | 13074.9i | −0.0661772 | + | 0.460273i | ||||
\(932\) | −2673.62 | + | 18595.5i | −0.0939672 | + | 0.653556i | ||||
\(933\) | 17672.6 | + | 11357.5i | 0.620123 | + | 0.398529i | ||||
\(934\) | 12112.4 | + | 13978.5i | 0.424337 | + | 0.489711i | ||||
\(935\) | 5869.52 | + | 12852.5i | 0.205298 | + | 0.449541i | ||||
\(936\) | 3245.35 | − | 2085.66i | 0.113331 | − | 0.0728332i | ||||
\(937\) | −29682.7 | − | 8715.62i | −1.03489 | − | 0.303871i | −0.280191 | − | 0.959944i | \(-0.590398\pi\) |
−0.754697 | + | 0.656073i | \(0.772216\pi\) | |||||||
\(938\) | 2179.14 | − | 2514.86i | 0.0758544 | − | 0.0875406i | ||||
\(939\) | −19851.1 | + | 5828.82i | −0.689901 | + | 0.202573i | ||||
\(940\) | 3150.36 | − | 6898.32i | 0.109312 | − | 0.239360i | ||||
\(941\) | −4128.33 | − | 28713.2i | −0.143018 | − | 0.994710i | −0.927303 | − | 0.374310i | \(-0.877879\pi\) |
0.784286 | − | 0.620400i | \(-0.213030\pi\) | |||||||
\(942\) | 41678.3 | 1.44156 | ||||||||
\(943\) | 2702.54 | + | 5329.16i | 0.0933264 | + | 0.184031i | ||||
\(944\) | 12884.6 | 0.444236 | ||||||||
\(945\) | 2794.89 | + | 19438.9i | 0.0962093 | + | 0.669151i | ||||
\(946\) | −2712.59 | + | 5939.75i | −0.0932284 | + | 0.204142i | ||||
\(947\) | −2293.00 | + | 673.285i | −0.0786826 | + | 0.0231033i | −0.320837 | − | 0.947134i | \(-0.603964\pi\) |
0.242154 | + | 0.970238i | \(0.422146\pi\) | |||||||
\(948\) | 28267.8 | − | 32622.8i | 0.968456 | − | 1.11766i | ||||
\(949\) | 554.164 | + | 162.717i | 0.0189557 | + | 0.00556589i | ||||
\(950\) | 13021.5 | − | 8368.39i | 0.444708 | − | 0.285796i | ||||
\(951\) | −18096.0 | − | 39624.8i | −0.617039 | − | 1.35113i | ||||
\(952\) | 3163.71 | + | 3651.11i | 0.107706 | + | 0.124300i | ||||
\(953\) | −38733.8 | − | 24892.7i | −1.31659 | − | 0.846122i | −0.321678 | − | 0.946849i | \(-0.604247\pi\) |
−0.994914 | + | 0.100727i | \(0.967883\pi\) | |||||||
\(954\) | 3726.26 | − | 25916.7i | 0.126459 | − | 0.879543i | ||||
\(955\) | 809.395 | − | 5629.47i | 0.0274256 | − | 0.190749i | ||||
\(956\) | 565.480 | + | 363.412i | 0.0191307 | + | 0.0122945i | ||||
\(957\) | 15110.0 | + | 17437.9i | 0.510383 | + | 0.589013i | ||||
\(958\) | 6351.48 | + | 13907.8i | 0.214204 | + | 0.469041i | ||||
\(959\) | −2795.25 | + | 1796.40i | −0.0941224 | + | 0.0604888i | ||||
\(960\) | −81387.7 | − | 23897.6i | −2.73622 | − | 0.803428i | ||||
\(961\) | 19502.5 | − | 22507.0i | 0.654643 | − | 0.755498i | ||||
\(962\) | 669.671 | − | 196.633i | 0.0224439 | − | 0.00659013i | ||||
\(963\) | −18766.5 | + | 41093.0i | −0.627979 | + | 1.37508i | ||||
\(964\) | −2039.65 | − | 14186.0i | −0.0681458 | − | 0.473964i | ||||
\(965\) | 47514.9 | 1.58504 | ||||||||
\(966\) | −726.310 | + | 7105.18i | −0.0241911 | + | 0.236652i | ||||
\(967\) | 8457.00 | 0.281240 | 0.140620 | − | 0.990064i | \(-0.455090\pi\) | ||||
0.140620 | + | 0.990064i | \(0.455090\pi\) | |||||||
\(968\) | 4055.95 | + | 28209.7i | 0.134673 | + | 0.936669i | ||||
\(969\) | −9860.12 | + | 21590.7i | −0.326886 | + | 0.715781i | ||||
\(970\) | −40700.9 | + | 11950.9i | −1.34724 | + | 0.395586i | ||||
\(971\) | 13958.8 | − | 16109.4i | 0.461339 | − | 0.532414i | −0.476643 | − | 0.879097i | \(-0.658147\pi\) |
0.937982 | + | 0.346683i | \(0.112692\pi\) | |||||||
\(972\) | 20384.4 | + | 5985.41i | 0.672665 | + | 0.197512i | ||||
\(973\) | −2894.63 | + | 1860.27i | −0.0953727 | + | 0.0612923i | ||||
\(974\) | 4073.66 | + | 8920.06i | 0.134013 | + | 0.293447i | ||||
\(975\) | −2786.82 | − | 3216.16i | −0.0915382 | − | 0.105641i | ||||
\(976\) | 1033.78 | + | 664.372i | 0.0339043 | + | 0.0217890i | ||||
\(977\) | 3703.98 | − | 25761.7i | 0.121290 | − | 0.843594i | −0.834807 | − | 0.550543i | \(-0.814421\pi\) |
0.956097 | − | 0.293050i | \(-0.0946703\pi\) | |||||||
\(978\) | 4789.81 | − | 33313.8i | 0.156606 | − | 1.08922i | ||||
\(979\) | −14379.4 | − | 9241.05i | −0.469424 | − | 0.301681i | ||||
\(980\) | −12892.7 | − | 14879.0i | −0.420248 | − | 0.484992i | ||||
\(981\) | 39109.2 | + | 85637.2i | 1.27285 | + | 2.78714i | ||||
\(982\) | 18394.9 | − | 11821.7i | 0.597763 | − | 0.384159i | ||||
\(983\) | 33824.5 | + | 9931.77i | 1.09749 | + | 0.322253i | 0.779855 | − | 0.625960i | \(-0.215293\pi\) |
0.317636 | + | 0.948213i | \(0.397111\pi\) | |||||||
\(984\) | −8289.52 | + | 9566.61i | −0.268557 | + | 0.309931i | ||||
\(985\) | 45080.3 | − | 13236.8i | 1.45825 | − | 0.428181i | ||||
\(986\) | 10493.3 | − | 22977.1i | 0.338919 | − | 0.742128i | ||||
\(987\) | −549.805 | − | 3823.98i | −0.0177310 | − | 0.123322i | ||||
\(988\) | 328.671 | 0.0105834 | ||||||||
\(989\) | −17818.2 | − | 18938.5i | −0.572888 | − | 0.608907i | ||||
\(990\) | −31158.3 | −1.00028 | ||||||||
\(991\) | −5390.55 | − | 37492.1i | −0.172792 | − | 1.20179i | −0.872952 | − | 0.487806i | \(-0.837797\pi\) |
0.700161 | − | 0.713985i | \(-0.253112\pi\) | |||||||
\(992\) | −184.014 | + | 402.935i | −0.00588957 | + | 0.0128964i | ||||
\(993\) | 43105.8 | − | 12657.0i | 1.37756 | − | 0.404490i | ||||
\(994\) | 4415.20 | − | 5095.41i | 0.140887 | − | 0.162592i | ||||
\(995\) | 18546.6 | + | 5445.78i | 0.590922 | + | 0.173510i | ||||
\(996\) | −28976.8 | + | 18622.2i | −0.921852 | + | 0.592438i | ||||
\(997\) | 14313.7 | + | 31342.7i | 0.454685 | + | 0.995621i | 0.988667 | + | 0.150125i | \(0.0479678\pi\) |
−0.533982 | + | 0.845496i | \(0.679305\pi\) | |||||||
\(998\) | 8146.91 | + | 9402.04i | 0.258403 | + | 0.298213i | ||||
\(999\) | 39588.5 | + | 25442.0i | 1.25378 | + | 0.805755i |
(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 | 23.4.c.a.3.4 | ✓ | 50 | |
3.2 | odd | 2 | 207.4.i.a.118.2 | 50 | |||
23.8 | even | 11 | inner | 23.4.c.a.8.4 | yes | 50 | |
23.10 | odd | 22 | 529.4.a.m.1.9 | 25 | |||
23.13 | even | 11 | 529.4.a.n.1.9 | 25 | |||
69.8 | odd | 22 | 207.4.i.a.100.2 | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.4.c.a.3.4 | ✓ | 50 | 1.1 | even | 1 | trivial | |
23.4.c.a.8.4 | yes | 50 | 23.8 | even | 11 | inner | |
207.4.i.a.100.2 | 50 | 69.8 | odd | 22 | |||
207.4.i.a.118.2 | 50 | 3.2 | odd | 2 | |||
529.4.a.m.1.9 | 25 | 23.10 | odd | 22 | |||
529.4.a.n.1.9 | 25 | 23.13 | even | 11 |