Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 145.26 | ||
Character | \(\chi\) | \(=\) | 483.145 |
Dual form | 483.2.bf.a.10.26 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{19}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.571977 | + | 1.65262i | 0.404449 | + | 1.16858i | 0.944944 | + | 0.327231i | \(0.106116\pi\) |
−0.540496 | + | 0.841347i | \(0.681763\pi\) | |||||||
\(3\) | −0.458227 | + | 0.888835i | −0.264557 | + | 0.513169i | ||||
\(4\) | −0.831885 | + | 0.654202i | −0.415943 | + | 0.327101i | ||||
\(5\) | −0.0705413 | − | 0.00673588i | −0.0315470 | − | 0.00301238i | 0.0792706 | − | 0.996853i | \(-0.474741\pi\) |
−0.110818 | + | 0.993841i | \(0.535347\pi\) | |||||||
\(6\) | −1.73100 | − | 0.248880i | −0.706678 | − | 0.101605i | ||||
\(7\) | 0.803186 | + | 2.52089i | 0.303576 | + | 0.952807i | ||||
\(8\) | 1.38541 | + | 0.890346i | 0.489815 | + | 0.314785i | ||||
\(9\) | −0.580057 | − | 0.814576i | −0.193352 | − | 0.271525i | ||||
\(10\) | −0.0292162 | − | 0.120431i | −0.00923896 | − | 0.0380835i | ||||
\(11\) | 4.41243 | + | 1.52716i | 1.33040 | + | 0.460455i | 0.897510 | − | 0.440994i | \(-0.145374\pi\) |
0.432886 | + | 0.901449i | \(0.357495\pi\) | |||||||
\(12\) | −0.200286 | − | 1.03918i | −0.0578175 | − | 0.299986i | ||||
\(13\) | 0.351518 | − | 1.19716i | 0.0974937 | − | 0.332033i | −0.896274 | − | 0.443500i | \(-0.853737\pi\) |
0.993768 | + | 0.111467i | \(0.0355549\pi\) | |||||||
\(14\) | −3.70667 | + | 2.76925i | −0.990649 | + | 0.740114i | ||||
\(15\) | 0.0383110 | − | 0.0596131i | 0.00989186 | − | 0.0153920i | ||||
\(16\) | −1.17799 | + | 4.85575i | −0.294498 | + | 1.21394i | ||||
\(17\) | −3.02630 | + | 1.21155i | −0.733985 | + | 0.293843i | −0.708382 | − | 0.705829i | \(-0.750575\pi\) |
−0.0256028 | + | 0.999672i | \(0.508151\pi\) | |||||||
\(18\) | 1.01440 | − | 1.42453i | 0.239097 | − | 0.335765i | ||||
\(19\) | −3.72189 | − | 1.49002i | −0.853861 | − | 0.341834i | −0.0968996 | − | 0.995294i | \(-0.530893\pi\) |
−0.756961 | + | 0.653460i | \(0.773317\pi\) | |||||||
\(20\) | 0.0630889 | − | 0.0405448i | 0.0141071 | − | 0.00906609i | ||||
\(21\) | −2.60870 | − | 0.441239i | −0.569265 | − | 0.0962863i | ||||
\(22\) | 8.16556i | 1.74090i | ||||||||
\(23\) | −1.12811 | − | 4.66126i | −0.235227 | − | 0.971940i | ||||
\(24\) | −1.42620 | + | 0.823417i | −0.291122 | + | 0.168079i | ||||
\(25\) | −4.90471 | − | 0.945306i | −0.980943 | − | 0.189061i | ||||
\(26\) | 2.17951 | − | 0.103823i | 0.427438 | − | 0.0203614i | ||||
\(27\) | 0.989821 | − | 0.142315i | 0.190491 | − | 0.0273885i | ||||
\(28\) | −2.31733 | − | 1.57165i | −0.437934 | − | 0.297013i | ||||
\(29\) | −0.615151 | + | 4.27847i | −0.114231 | + | 0.794491i | 0.849495 | + | 0.527597i | \(0.176907\pi\) |
−0.963726 | + | 0.266895i | \(0.914002\pi\) | |||||||
\(30\) | 0.120431 | + | 0.0292162i | 0.0219875 | + | 0.00533412i | ||||
\(31\) | −0.962215 | − | 0.0458359i | −0.172819 | − | 0.00823238i | −0.0390059 | − | 0.999239i | \(-0.512419\pi\) |
−0.133813 | + | 0.991007i | \(0.542722\pi\) | |||||||
\(32\) | −5.41974 | + | 0.517522i | −0.958084 | + | 0.0914859i | ||||
\(33\) | −3.37928 | + | 3.22214i | −0.588257 | + | 0.560902i | ||||
\(34\) | −3.73320 | − | 4.30834i | −0.640238 | − | 0.738874i | ||||
\(35\) | −0.0396774 | − | 0.183237i | −0.00670670 | − | 0.0309727i | ||||
\(36\) | 1.01544 | + | 0.298159i | 0.169240 | + | 0.0496932i | ||||
\(37\) | 2.76191 | − | 1.96675i | 0.454056 | − | 0.323332i | −0.330045 | − | 0.943965i | \(-0.607064\pi\) |
0.784101 | + | 0.620634i | \(0.213125\pi\) | |||||||
\(38\) | 0.333600 | − | 7.00313i | 0.0541171 | − | 1.13606i | ||||
\(39\) | 0.903005 | + | 0.861013i | 0.144597 | + | 0.137872i | ||||
\(40\) | −0.0917311 | − | 0.0721381i | −0.0145040 | − | 0.0114060i | ||||
\(41\) | 9.24386 | − | 4.22153i | 1.44365 | − | 0.659292i | 0.469033 | − | 0.883180i | \(-0.344602\pi\) |
0.974615 | + | 0.223889i | \(0.0718752\pi\) | |||||||
\(42\) | −0.762915 | − | 4.56356i | −0.117720 | − | 0.704173i | ||||
\(43\) | 5.80251 | + | 9.02888i | 0.884874 | + | 1.37689i | 0.925914 | + | 0.377734i | \(0.123296\pi\) |
−0.0410401 | + | 0.999157i | \(0.513067\pi\) | |||||||
\(44\) | −4.66970 | + | 1.61620i | −0.703984 | + | 0.243651i | ||||
\(45\) | 0.0354311 | + | 0.0613685i | 0.00528176 | + | 0.00914827i | ||||
\(46\) | 7.05804 | − | 4.53047i | 1.04065 | − | 0.667982i | ||||
\(47\) | 1.47775 | + | 0.853178i | 0.215552 | + | 0.124449i | 0.603889 | − | 0.797069i | \(-0.293617\pi\) |
−0.388337 | + | 0.921517i | \(0.626950\pi\) | |||||||
\(48\) | −3.77618 | − | 3.27208i | −0.545044 | − | 0.472284i | ||||
\(49\) | −5.70979 | + | 4.04949i | −0.815684 | + | 0.578498i | ||||
\(50\) | −1.24315 | − | 8.64631i | −0.175808 | − | 1.22277i | ||||
\(51\) | 0.309864 | − | 3.24504i | 0.0433897 | − | 0.454397i | ||||
\(52\) | 0.490762 | + | 1.22587i | 0.0680565 | + | 0.169997i | ||||
\(53\) | 8.16665 | − | 8.56494i | 1.12178 | − | 1.17648i | 0.139270 | − | 0.990254i | \(-0.455524\pi\) |
0.982506 | − | 0.186230i | \(-0.0596271\pi\) | |||||||
\(54\) | 0.801347 | + | 1.55440i | 0.109050 | + | 0.211527i | ||||
\(55\) | −0.300972 | − | 0.137449i | −0.0405830 | − | 0.0185336i | ||||
\(56\) | −1.13173 | + | 4.20757i | −0.151233 | + | 0.562260i | ||||
\(57\) | 3.02985 | − | 2.62538i | 0.401314 | − | 0.347740i | ||||
\(58\) | −7.42253 | + | 1.43057i | −0.974625 | + | 0.187844i | ||||
\(59\) | 6.83435 | − | 1.65800i | 0.889757 | − | 0.215853i | 0.235273 | − | 0.971929i | \(-0.424401\pi\) |
0.654483 | + | 0.756077i | \(0.272886\pi\) | |||||||
\(60\) | 0.00712863 | + | 0.0746544i | 0.000920302 | + | 0.00963784i | ||||
\(61\) | −12.6147 | + | 6.50333i | −1.61515 | + | 0.832666i | −0.616162 | + | 0.787619i | \(0.711313\pi\) |
−0.998985 | + | 0.0450469i | \(0.985656\pi\) | |||||||
\(62\) | −0.474615 | − | 1.61639i | −0.0602762 | − | 0.205282i | ||||
\(63\) | 1.58756 | − | 2.11652i | 0.200014 | − | 0.266656i | ||||
\(64\) | 0.196092 | + | 0.429381i | 0.0245115 | + | 0.0536726i | ||||
\(65\) | −0.0328605 | + | 0.0820816i | −0.00407585 | + | 0.0101810i | ||||
\(66\) | −7.25784 | − | 3.74167i | −0.893378 | − | 0.460568i | ||||
\(67\) | 1.66794 | − | 8.65410i | 0.203771 | − | 1.05727i | −0.725599 | − | 0.688118i | \(-0.758437\pi\) |
0.929370 | − | 0.369149i | \(-0.120351\pi\) | |||||||
\(68\) | 1.72494 | − | 2.98768i | 0.209179 | − | 0.362309i | ||||
\(69\) | 4.66003 | + | 1.13321i | 0.561001 | + | 0.136422i | ||||
\(70\) | 0.280127 | − | 0.170379i | 0.0334815 | − | 0.0203642i | ||||
\(71\) | 3.54828 | − | 4.09493i | 0.421103 | − | 0.485979i | −0.505069 | − | 0.863079i | \(-0.668533\pi\) |
0.926173 | + | 0.377099i | \(0.123079\pi\) | |||||||
\(72\) | −0.0783595 | − | 1.64497i | −0.00923476 | − | 0.193861i | ||||
\(73\) | −5.93209 | − | 7.54327i | −0.694299 | − | 0.882873i | 0.303245 | − | 0.952913i | \(-0.401930\pi\) |
−0.997544 | + | 0.0700394i | \(0.977687\pi\) | |||||||
\(74\) | 4.83004 | + | 3.43946i | 0.561481 | + | 0.399829i | ||||
\(75\) | 3.08769 | − | 3.92632i | 0.356536 | − | 0.453372i | ||||
\(76\) | 4.07096 | − | 1.19534i | 0.466971 | − | 0.137115i | ||||
\(77\) | −0.305796 | + | 12.3498i | −0.0348487 | + | 1.40739i | ||||
\(78\) | −0.906429 | + | 1.98480i | −0.102633 | + | 0.224735i | ||||
\(79\) | 1.78164 | + | 1.86853i | 0.200450 | + | 0.210226i | 0.816285 | − | 0.577649i | \(-0.196030\pi\) |
−0.615835 | + | 0.787875i | \(0.711181\pi\) | |||||||
\(80\) | 0.115805 | − | 0.334597i | 0.0129474 | − | 0.0374090i | ||||
\(81\) | −0.327068 | + | 0.945001i | −0.0363409 | + | 0.105000i | ||||
\(82\) | 12.2639 | + | 12.8620i | 1.35432 | + | 1.42037i | ||||
\(83\) | 6.10041 | − | 13.3580i | 0.669607 | − | 1.46624i | −0.203684 | − | 0.979037i | \(-0.565291\pi\) |
0.873291 | − | 0.487199i | \(-0.161981\pi\) | |||||||
\(84\) | 2.45880 | − | 1.33955i | 0.268277 | − | 0.146157i | ||||
\(85\) | 0.221640 | − | 0.0650794i | 0.0240402 | − | 0.00705885i | ||||
\(86\) | −11.6024 | + | 14.7536i | −1.25112 | + | 1.59093i | ||||
\(87\) | −3.52097 | − | 2.50727i | −0.377488 | − | 0.268808i | ||||
\(88\) | 4.75330 | + | 6.04432i | 0.506704 | + | 0.644326i | ||||
\(89\) | −0.172955 | − | 3.63078i | −0.0183332 | − | 0.384862i | −0.989323 | − | 0.145740i | \(-0.953444\pi\) |
0.970990 | − | 0.239121i | \(-0.0768594\pi\) | |||||||
\(90\) | −0.0811529 | + | 0.0936554i | −0.00855427 | + | 0.00987215i | ||||
\(91\) | 3.30025 | − | 0.0754034i | 0.345960 | − | 0.00790442i | ||||
\(92\) | 3.98787 | + | 3.13962i | 0.415764 | + | 0.327328i | ||||
\(93\) | 0.481653 | − | 0.834247i | 0.0499451 | − | 0.0865074i | ||||
\(94\) | −0.564740 | + | 2.93015i | −0.0582485 | + | 0.302222i | ||||
\(95\) | 0.252511 | + | 0.130178i | 0.0259070 | + | 0.0133560i | ||||
\(96\) | 2.02348 | − | 5.05440i | 0.206520 | − | 0.515863i | ||||
\(97\) | 1.10887 | + | 2.42809i | 0.112589 | + | 0.246535i | 0.957535 | − | 0.288315i | \(-0.0930952\pi\) |
−0.844947 | + | 0.534851i | \(0.820368\pi\) | |||||||
\(98\) | −9.95812 | − | 7.11989i | −1.00592 | − | 0.719217i | ||||
\(99\) | −1.31547 | − | 4.48009i | −0.132210 | − | 0.450266i | ||||
\(100\) | 4.69858 | − | 2.42229i | 0.469858 | − | 0.242229i | ||||
\(101\) | 0.974389 | + | 10.2043i | 0.0969554 | + | 1.01536i | 0.904763 | + | 0.425916i | \(0.140048\pi\) |
−0.807807 | + | 0.589447i | \(0.799346\pi\) | |||||||
\(102\) | 5.54006 | − | 1.34400i | 0.548547 | − | 0.133076i | ||||
\(103\) | 14.6043 | − | 2.81475i | 1.43900 | − | 0.277345i | 0.590715 | − | 0.806880i | \(-0.298846\pi\) |
0.848288 | + | 0.529535i | \(0.177634\pi\) | |||||||
\(104\) | 1.55288 | − | 1.34558i | 0.152273 | − | 0.131945i | ||||
\(105\) | 0.181049 | + | 0.0486975i | 0.0176686 | + | 0.00475239i | ||||
\(106\) | 18.8257 | + | 8.59742i | 1.82852 | + | 0.835055i | ||||
\(107\) | −2.15840 | − | 4.18671i | −0.208660 | − | 0.404745i | 0.761160 | − | 0.648564i | \(-0.224630\pi\) |
−0.969821 | + | 0.243819i | \(0.921600\pi\) | |||||||
\(108\) | −0.730315 | + | 0.765933i | −0.0702746 | + | 0.0737019i | ||||
\(109\) | −0.639600 | − | 1.59764i | −0.0612626 | − | 0.153026i | 0.894578 | − | 0.446911i | \(-0.147476\pi\) |
−0.955841 | + | 0.293885i | \(0.905052\pi\) | |||||||
\(110\) | 0.0550022 | − | 0.576009i | 0.00524425 | − | 0.0549203i | ||||
\(111\) | 0.482535 | + | 3.35610i | 0.0458002 | + | 0.318547i | ||||
\(112\) | −13.1870 | + | 0.930479i | −1.24605 | + | 0.0879220i | ||||
\(113\) | 13.3564 | + | 11.5734i | 1.25646 | + | 1.08873i | 0.992249 | + | 0.124265i | \(0.0396574\pi\) |
0.264212 | + | 0.964465i | \(0.414888\pi\) | |||||||
\(114\) | 6.07176 | + | 3.50553i | 0.568673 | + | 0.328323i | ||||
\(115\) | 0.0481808 | + | 0.336410i | 0.00449288 | + | 0.0313704i | ||||
\(116\) | −2.28725 | − | 3.96163i | −0.212365 | − | 0.367828i | ||||
\(117\) | −1.17908 | + | 0.408084i | −0.109006 | + | 0.0377273i | ||||
\(118\) | 6.64912 | + | 10.3462i | 0.612102 | + | 0.952449i | ||||
\(119\) | −5.48486 | − | 6.65587i | −0.502796 | − | 0.610143i | ||||
\(120\) | 0.106153 | − | 0.0484782i | 0.00969036 | − | 0.00442544i | ||||
\(121\) | 8.49071 | + | 6.67717i | 0.771883 | + | 0.607016i | ||||
\(122\) | −17.9628 | − | 17.1275i | −1.62628 | − | 1.55065i | ||||
\(123\) | −0.483537 | + | 10.1507i | −0.0435990 | + | 0.915256i | ||||
\(124\) | 0.830438 | − | 0.591352i | 0.0745755 | − | 0.0531050i | ||||
\(125\) | 0.679576 | + | 0.199542i | 0.0607832 | + | 0.0178475i | ||||
\(126\) | 4.40584 | + | 1.41304i | 0.392504 | + | 0.125884i | ||||
\(127\) | −9.28054 | − | 10.7103i | −0.823515 | − | 0.950387i | 0.175906 | − | 0.984407i | \(-0.443714\pi\) |
−0.999421 | + | 0.0340200i | \(0.989169\pi\) | |||||||
\(128\) | −8.47803 | + | 8.08378i | −0.749359 | + | 0.714512i | ||||
\(129\) | −10.6841 | + | 1.02020i | −0.940678 | + | 0.0898239i | ||||
\(130\) | −0.154445 | − | 0.00735713i | −0.0135457 | − | 0.000645263i | ||||
\(131\) | −17.7690 | − | 4.31071i | −1.55248 | − | 0.376628i | −0.634396 | − | 0.773008i | \(-0.718751\pi\) |
−0.918087 | + | 0.396380i | \(0.870266\pi\) | |||||||
\(132\) | 0.703246 | − | 4.89118i | 0.0612097 | − | 0.425723i | ||||
\(133\) | 0.766811 | − | 10.5793i | 0.0664909 | − | 0.917337i | ||||
\(134\) | 15.2560 | − | 2.19347i | 1.31791 | − | 0.189487i | ||||
\(135\) | −0.0707819 | + | 0.00337176i | −0.00609194 | + | 0.000290195i | ||||
\(136\) | −5.27135 | − | 1.01597i | −0.452014 | − | 0.0871186i | ||||
\(137\) | 5.71991 | − | 3.30239i | 0.488685 | − | 0.282142i | −0.235344 | − | 0.971912i | \(-0.575622\pi\) |
0.724029 | + | 0.689770i | \(0.242288\pi\) | |||||||
\(138\) | 0.792665 | + | 8.34942i | 0.0674761 | + | 0.710749i | ||||
\(139\) | 6.38369i | 0.541458i | 0.962656 | + | 0.270729i | \(0.0872647\pi\) | ||||
−0.962656 | + | 0.270729i | \(0.912735\pi\) | |||||||
\(140\) | 0.152881 | + | 0.126475i | 0.0129208 | + | 0.0106891i | ||||
\(141\) | −1.43548 | + | 0.922525i | −0.120889 | + | 0.0776906i | ||||
\(142\) | 8.79690 | + | 3.52175i | 0.738220 | + | 0.295539i | ||||
\(143\) | 3.37930 | − | 4.74556i | 0.282591 | − | 0.396844i | ||||
\(144\) | 4.63868 | − | 1.85705i | 0.386557 | − | 0.154754i | ||||
\(145\) | 0.0722128 | − | 0.297665i | 0.00599694 | − | 0.0247197i | ||||
\(146\) | 9.07313 | − | 14.1181i | 0.750898 | − | 1.16842i | ||||
\(147\) | −0.982952 | − | 6.93064i | −0.0810725 | − | 0.571630i | ||||
\(148\) | −1.01094 | + | 3.44296i | −0.0830991 | + | 0.283010i | ||||
\(149\) | 1.41381 | + | 7.33555i | 0.115824 | + | 0.600952i | 0.992737 | + | 0.120303i | \(0.0383866\pi\) |
−0.876913 | + | 0.480649i | \(0.840401\pi\) | |||||||
\(150\) | 8.25480 | + | 2.85701i | 0.674001 | + | 0.233274i | ||||
\(151\) | 2.78495 | + | 11.4797i | 0.226636 | + | 0.934206i | 0.965511 | + | 0.260363i | \(0.0838423\pi\) |
−0.738875 | + | 0.673843i | \(0.764643\pi\) | |||||||
\(152\) | −3.82970 | − | 5.37806i | −0.310629 | − | 0.436218i | ||||
\(153\) | 2.74232 | + | 1.76238i | 0.221704 | + | 0.142480i | ||||
\(154\) | −20.5845 | + | 6.55846i | −1.65874 | + | 0.528495i | ||||
\(155\) | 0.0675672 | + | 0.00971469i | 0.00542712 | + | 0.000780303i | ||||
\(156\) | −1.31447 | − | 0.125517i | −0.105242 | − | 0.0100494i | ||||
\(157\) | 2.41499 | − | 1.89917i | 0.192737 | − | 0.151570i | −0.517127 | − | 0.855909i | \(-0.672999\pi\) |
0.709865 | + | 0.704338i | \(0.248756\pi\) | |||||||
\(158\) | −2.06891 | + | 4.01313i | −0.164594 | + | 0.319268i | ||||
\(159\) | 3.87064 | + | 11.1835i | 0.306962 | + | 0.886909i | ||||
\(160\) | 0.385802 | 0.0305003 | ||||||||
\(161\) | 10.8445 | − | 6.58770i | 0.854663 | − | 0.519184i | ||||
\(162\) | −1.74880 | −0.137399 | ||||||||
\(163\) | −5.47480 | − | 15.8184i | −0.428819 | − | 1.23899i | −0.928028 | − | 0.372510i | \(-0.878497\pi\) |
0.499209 | − | 0.866482i | \(-0.333624\pi\) | |||||||
\(164\) | −4.92810 | + | 9.55918i | −0.384820 | + | 0.746446i | ||||
\(165\) | 0.260083 | − | 0.204531i | 0.0202474 | − | 0.0159227i | ||||
\(166\) | 25.5650 | + | 2.44117i | 1.98423 | + | 0.189471i | ||||
\(167\) | −12.8790 | − | 1.85173i | −0.996611 | − | 0.143291i | −0.375340 | − | 0.926887i | \(-0.622474\pi\) |
−0.621271 | + | 0.783596i | \(0.713383\pi\) | |||||||
\(168\) | −3.22125 | − | 2.93394i | −0.248525 | − | 0.226358i | ||||
\(169\) | 9.62666 | + | 6.18668i | 0.740513 | + | 0.475899i | ||||
\(170\) | 0.234324 | + | 0.329062i | 0.0179719 | + | 0.0252379i | ||||
\(171\) | 0.945174 | + | 3.89606i | 0.0722793 | + | 0.297939i | ||||
\(172\) | −10.7337 | − | 3.71498i | −0.818439 | − | 0.283265i | ||||
\(173\) | −2.74269 | − | 14.2304i | −0.208523 | − | 1.08192i | −0.923741 | − | 0.383017i | \(-0.874885\pi\) |
0.715218 | − | 0.698901i | \(-0.246327\pi\) | |||||||
\(174\) | 2.12965 | − | 7.25293i | 0.161449 | − | 0.549843i | ||||
\(175\) | −1.55638 | − | 13.1235i | −0.117651 | − | 0.992044i | ||||
\(176\) | −12.6133 | + | 19.6267i | −0.950763 | + | 1.47942i | ||||
\(177\) | −1.65800 | + | 6.83435i | −0.124623 | + | 0.513701i | ||||
\(178\) | 5.90136 | − | 2.36255i | 0.442326 | − | 0.177081i | ||||
\(179\) | −8.67661 | + | 12.1846i | −0.648520 | + | 0.910719i | −0.999672 | − | 0.0255994i | \(-0.991851\pi\) |
0.351152 | + | 0.936318i | \(0.385790\pi\) | |||||||
\(180\) | −0.0696220 | − | 0.0278724i | −0.00518932 | − | 0.00207749i | ||||
\(181\) | 6.71312 | − | 4.31426i | 0.498982 | − | 0.320676i | −0.266827 | − | 0.963744i | \(-0.585975\pi\) |
0.765809 | + | 0.643068i | \(0.222339\pi\) | |||||||
\(182\) | 2.01228 | + | 5.41093i | 0.149160 | + | 0.401085i | ||||
\(183\) | − | 14.1924i | − | 1.04913i | ||||||
\(184\) | 2.58724 | − | 7.46215i | 0.190734 | − | 0.550117i | ||||
\(185\) | −0.208077 | + | 0.120133i | −0.0152981 | + | 0.00883237i | ||||
\(186\) | 1.65419 | + | 0.318818i | 0.121291 | + | 0.0233769i | ||||
\(187\) | −15.2035 | + | 0.724234i | −1.11179 | + | 0.0529612i | ||||
\(188\) | −1.78747 | + | 0.256999i | −0.130364 | + | 0.0187436i | ||||
\(189\) | 1.15377 | + | 2.38093i | 0.0839245 | + | 0.173187i | ||||
\(190\) | −0.0707048 | + | 0.491763i | −0.00512947 | + | 0.0356762i | ||||
\(191\) | −7.47967 | − | 1.81455i | −0.541210 | − | 0.131296i | −0.0441702 | − | 0.999024i | \(-0.514064\pi\) |
−0.497039 | + | 0.867728i | \(0.665580\pi\) | |||||||
\(192\) | −0.471503 | − | 0.0224605i | −0.0340278 | − | 0.00162095i | ||||
\(193\) | −12.5844 | + | 1.20167i | −0.905847 | + | 0.0864979i | −0.537571 | − | 0.843219i | \(-0.680658\pi\) |
−0.368276 | + | 0.929717i | \(0.620052\pi\) | |||||||
\(194\) | −3.37846 | + | 3.22135i | −0.242559 | + | 0.231280i | ||||
\(195\) | −0.0578995 | − | 0.0668196i | −0.00414627 | − | 0.00478505i | ||||
\(196\) | 2.10070 | − | 7.10406i | 0.150050 | − | 0.507433i | ||||
\(197\) | 6.36623 | + | 1.86930i | 0.453575 | + | 0.133182i | 0.500537 | − | 0.865715i | \(-0.333136\pi\) |
−0.0469620 | + | 0.998897i | \(0.514954\pi\) | |||||||
\(198\) | 6.65147 | − | 4.73649i | 0.472699 | − | 0.336607i | ||||
\(199\) | 0.322390 | − | 6.76779i | 0.0228536 | − | 0.479756i | −0.958209 | − | 0.286067i | \(-0.907652\pi\) |
0.981063 | − | 0.193688i | \(-0.0620451\pi\) | |||||||
\(200\) | −5.95337 | − | 5.67652i | −0.420967 | − | 0.401391i | ||||
\(201\) | 6.92778 | + | 5.44806i | 0.488648 | + | 0.384277i | ||||
\(202\) | −16.3064 | + | 7.44690i | −1.14732 | + | 0.523962i | ||||
\(203\) | −11.2796 | + | 1.88567i | −0.791675 | + | 0.132348i | ||||
\(204\) | 1.86514 | + | 2.90222i | 0.130586 | + | 0.203196i | ||||
\(205\) | −0.680510 | + | 0.235527i | −0.0475289 | + | 0.0164499i | ||||
\(206\) | 13.0050 | + | 22.5253i | 0.906102 | + | 1.56942i | ||||
\(207\) | −3.14258 | + | 3.62273i | −0.218425 | + | 0.251797i | ||||
\(208\) | 5.39904 | + | 3.11714i | 0.374356 | + | 0.216134i | ||||
\(209\) | −14.1471 | − | 12.2585i | −0.978574 | − | 0.847939i | ||||
\(210\) | 0.0230774 | + | 0.327059i | 0.00159249 | + | 0.0225692i | ||||
\(211\) | −2.05769 | − | 14.3115i | −0.141657 | − | 0.985246i | −0.929356 | − | 0.369185i | \(-0.879637\pi\) |
0.787699 | − | 0.616061i | \(-0.211272\pi\) | |||||||
\(212\) | −1.19052 | + | 12.4677i | −0.0817652 | + | 0.856284i | ||||
\(213\) | 2.01381 | + | 5.03025i | 0.137984 | + | 0.344667i | ||||
\(214\) | 5.68448 | − | 5.96172i | 0.388583 | − | 0.407534i | ||||
\(215\) | −0.348499 | − | 0.675994i | −0.0237674 | − | 0.0461024i | ||||
\(216\) | 1.49801 | + | 0.684120i | 0.101927 | + | 0.0465485i | ||||
\(217\) | −0.657290 | − | 2.46245i | −0.0446197 | − | 0.167162i | ||||
\(218\) | 2.27446 | − | 1.97083i | 0.154046 | − | 0.133481i | ||||
\(219\) | 9.42297 | − | 1.81613i | 0.636745 | − | 0.122723i | ||||
\(220\) | 0.340293 | − | 0.0825543i | 0.0229426 | − | 0.00556581i | ||||
\(221\) | 0.386618 | + | 4.04885i | 0.0260068 | + | 0.272355i | ||||
\(222\) | −5.27036 | + | 2.71706i | −0.353724 | + | 0.182357i | ||||
\(223\) | −5.48632 | − | 18.6847i | −0.367391 | − | 1.25122i | −0.911184 | − | 0.412001i | \(-0.864830\pi\) |
0.543792 | − | 0.839220i | \(-0.316988\pi\) | |||||||
\(224\) | −5.65768 | − | 13.2469i | −0.378019 | − | 0.885096i | ||||
\(225\) | 2.07499 | + | 4.54359i | 0.138333 | + | 0.302906i | ||||
\(226\) | −11.4868 | + | 28.6927i | −0.764092 | + | 1.90861i | ||||
\(227\) | 19.1837 | + | 9.88986i | 1.27326 | + | 0.656413i | 0.956401 | − | 0.292058i | \(-0.0943399\pi\) |
0.316864 | + | 0.948471i | \(0.397370\pi\) | |||||||
\(228\) | −0.802960 | + | 4.16615i | −0.0531773 | + | 0.275910i | ||||
\(229\) | 1.03089 | − | 1.78555i | 0.0681231 | − | 0.117993i | −0.829952 | − | 0.557835i | \(-0.811632\pi\) |
0.898075 | + | 0.439842i | \(0.144966\pi\) | |||||||
\(230\) | −0.528400 | + | 0.272043i | −0.0348417 | + | 0.0179380i | ||||
\(231\) | −10.8368 | − | 5.93082i | −0.713012 | − | 0.390220i | ||||
\(232\) | −4.66155 | + | 5.37971i | −0.306046 | + | 0.353196i | ||||
\(233\) | 0.179306 | + | 3.76410i | 0.0117467 | + | 0.246594i | 0.997102 | + | 0.0760792i | \(0.0242402\pi\) |
−0.985355 | + | 0.170515i | \(0.945457\pi\) | |||||||
\(234\) | −1.34881 | − | 1.71516i | −0.0881747 | − | 0.112123i | ||||
\(235\) | −0.0984953 | − | 0.0701382i | −0.00642513 | − | 0.00457531i | ||||
\(236\) | −4.60073 | + | 5.85031i | −0.299482 | + | 0.380822i | ||||
\(237\) | −2.47721 | + | 0.727376i | −0.160912 | + | 0.0472481i | ||||
\(238\) | 7.86241 | − | 12.8714i | 0.509644 | − | 0.834328i | ||||
\(239\) | 6.26552 | − | 13.7196i | 0.405283 | − | 0.887446i | −0.591424 | − | 0.806361i | \(-0.701434\pi\) |
0.996707 | − | 0.0810852i | \(-0.0258386\pi\) | |||||||
\(240\) | 0.244336 | + | 0.256253i | 0.0157718 | + | 0.0165410i | ||||
\(241\) | −5.07453 | + | 14.6619i | −0.326879 | + | 0.944455i | 0.655113 | + | 0.755531i | \(0.272621\pi\) |
−0.981992 | + | 0.188924i | \(0.939500\pi\) | |||||||
\(242\) | −6.17833 | + | 17.8511i | −0.397158 | + | 1.14751i | ||||
\(243\) | −0.690079 | − | 0.723734i | −0.0442686 | − | 0.0464276i | ||||
\(244\) | 6.23949 | − | 13.6626i | 0.399443 | − | 0.874657i | ||||
\(245\) | 0.430053 | − | 0.247196i | 0.0274751 | − | 0.0157928i | ||||
\(246\) | −17.0518 | + | 5.00686i | −1.08718 | + | 0.319225i | ||||
\(247\) | −3.09211 | + | 3.93194i | −0.196746 | + | 0.250183i | ||||
\(248\) | −1.29225 | − | 0.920205i | −0.0820578 | − | 0.0584331i | ||||
\(249\) | 9.07773 | + | 11.5433i | 0.575278 | + | 0.731525i | ||||
\(250\) | 0.0589358 | + | 1.23721i | 0.00372742 | + | 0.0782483i | ||||
\(251\) | 3.00921 | − | 3.47281i | 0.189940 | − | 0.219202i | −0.652790 | − | 0.757539i | \(-0.726402\pi\) |
0.842730 | + | 0.538337i | \(0.180947\pi\) | |||||||
\(252\) | 0.0639575 | + | 2.79929i | 0.00402894 | + | 0.176338i | ||||
\(253\) | 2.14077 | − | 22.2903i | 0.134589 | − | 1.40138i | ||||
\(254\) | 12.3918 | − | 21.4633i | 0.777532 | − | 1.34672i | ||||
\(255\) | −0.0437165 | + | 0.226823i | −0.00273763 | + | 0.0142042i | ||||
\(256\) | −17.3695 | − | 8.95461i | −1.08560 | − | 0.559663i | ||||
\(257\) | 2.04082 | − | 5.09771i | 0.127303 | − | 0.317986i | −0.851001 | − | 0.525165i | \(-0.824004\pi\) |
0.978303 | + | 0.207178i | \(0.0664280\pi\) | |||||||
\(258\) | −7.79704 | − | 17.0731i | −0.485422 | − | 1.06293i | ||||
\(259\) | 7.17629 | + | 5.38282i | 0.445913 | + | 0.334472i | ||||
\(260\) | −0.0263618 | − | 0.0897799i | −0.00163489 | − | 0.00556791i | ||||
\(261\) | 3.84196 | − | 1.98067i | 0.237811 | − | 0.122600i | ||||
\(262\) | −3.03949 | − | 31.8310i | −0.187780 | − | 1.96652i | ||||
\(263\) | 2.85211 | − | 0.691915i | 0.175869 | − | 0.0426653i | −0.146857 | − | 0.989158i | \(-0.546916\pi\) |
0.322726 | + | 0.946492i | \(0.395401\pi\) | |||||||
\(264\) | −7.55049 | + | 1.45524i | −0.464701 | + | 0.0895637i | ||||
\(265\) | −0.633779 | + | 0.549173i | −0.0389327 | + | 0.0337354i | ||||
\(266\) | 17.9221 | − | 4.78384i | 1.09887 | − | 0.293316i | ||||
\(267\) | 3.30642 | + | 1.50999i | 0.202349 | + | 0.0924099i | ||||
\(268\) | 4.27399 | + | 8.29039i | 0.261076 | + | 0.506416i | ||||
\(269\) | −17.5234 | + | 18.3780i | −1.06842 | + | 1.12053i | −0.0760682 | + | 0.997103i | \(0.524237\pi\) |
−0.992354 | + | 0.123426i | \(0.960612\pi\) | |||||||
\(270\) | −0.0460579 | − | 0.115047i | −0.00280299 | − | 0.00700154i | ||||
\(271\) | 0.823903 | − | 8.62830i | 0.0500485 | − | 0.524132i | −0.935333 | − | 0.353769i | \(-0.884900\pi\) |
0.985381 | − | 0.170363i | \(-0.0544940\pi\) | |||||||
\(272\) | −2.31802 | − | 16.1222i | −0.140550 | − | 0.977549i | ||||
\(273\) | −1.44524 | + | 2.96793i | −0.0874699 | + | 0.179627i | ||||
\(274\) | 8.72925 | + | 7.56393i | 0.527353 | + | 0.456954i | ||||
\(275\) | −20.1981 | − | 11.6614i | −1.21799 | − | 0.703206i | ||||
\(276\) | −4.61795 | + | 2.10590i | −0.277968 | + | 0.126760i | ||||
\(277\) | −9.28139 | − | 16.0758i | −0.557665 | − | 0.965904i | −0.997691 | − | 0.0679188i | \(-0.978364\pi\) |
0.440026 | − | 0.897985i | \(-0.354969\pi\) | |||||||
\(278\) | −10.5498 | + | 3.65132i | −0.632735 | + | 0.218992i | ||||
\(279\) | 0.520802 | + | 0.810384i | 0.0311796 | + | 0.0485164i | ||||
\(280\) | 0.108175 | − | 0.289184i | 0.00646471 | − | 0.0172821i | ||||
\(281\) | −9.86995 | + | 4.50746i | −0.588792 | + | 0.268892i | −0.687453 | − | 0.726229i | \(-0.741271\pi\) |
0.0986612 | + | 0.995121i | \(0.468544\pi\) | |||||||
\(282\) | −2.34564 | − | 1.84463i | −0.139681 | − | 0.109846i | ||||
\(283\) | −17.4301 | − | 16.6196i | −1.03611 | − | 0.987932i | −0.0361782 | − | 0.999345i | \(-0.511518\pi\) |
−0.999935 | + | 0.0114136i | \(0.996367\pi\) | |||||||
\(284\) | −0.272849 | + | 5.72781i | −0.0161906 | + | 0.339883i | ||||
\(285\) | −0.231414 | + | 0.164789i | −0.0137078 | + | 0.00976127i | ||||
\(286\) | 9.77549 | + | 2.87034i | 0.578037 | + | 0.169727i | ||||
\(287\) | 18.0665 | + | 19.9121i | 1.06643 | + | 1.17537i | ||||
\(288\) | 3.56532 | + | 4.11460i | 0.210088 | + | 0.242455i | ||||
\(289\) | −4.61284 | + | 4.39834i | −0.271344 | + | 0.258726i | ||||
\(290\) | 0.533231 | − | 0.0509174i | 0.0313124 | − | 0.00298997i | ||||
\(291\) | −2.66629 | − | 0.127011i | −0.156300 | − | 0.00744551i | ||||
\(292\) | 9.86964 | + | 2.39435i | 0.577577 | + | 0.140119i | ||||
\(293\) | −2.06493 | + | 14.3619i | −0.120634 | + | 0.839030i | 0.836206 | + | 0.548416i | \(0.184769\pi\) |
−0.956840 | + | 0.290615i | \(0.906140\pi\) | |||||||
\(294\) | 10.8915 | − | 5.58861i | 0.635204 | − | 0.325935i | ||||
\(295\) | −0.493272 | + | 0.0709218i | −0.0287194 | + | 0.00412923i | ||||
\(296\) | 5.57746 | − | 0.265687i | 0.324183 | − | 0.0154427i | ||||
\(297\) | 4.58485 | + | 0.883658i | 0.266040 | + | 0.0512750i | ||||
\(298\) | −11.3142 | + | 6.53226i | −0.655414 | + | 0.378403i | ||||
\(299\) | −5.97684 | − | 0.287988i | −0.345649 | − | 0.0166548i | ||||
\(300\) | 5.28622i | 0.305200i | ||||||||
\(301\) | −18.1003 | + | 21.8794i | −1.04329 | + | 1.26111i | ||||
\(302\) | −17.3787 | + | 11.1686i | −1.00003 | + | 0.642680i | ||||
\(303\) | −9.51641 | − | 3.80979i | −0.546703 | − | 0.218867i | ||||
\(304\) | 11.6195 | − | 16.3174i | 0.666426 | − | 0.935865i | ||||
\(305\) | 0.933663 | − | 0.373782i | 0.0534614 | − | 0.0214027i | ||||
\(306\) | −1.34400 | + | 5.54006i | −0.0768316 | + | 0.316704i | ||||
\(307\) | −14.5583 | + | 22.6532i | −0.830889 | + | 1.29289i | 0.122903 | + | 0.992419i | \(0.460780\pi\) |
−0.953792 | + | 0.300469i | \(0.902857\pi\) | |||||||
\(308\) | −7.82490 | − | 10.4737i | −0.445865 | − | 0.596794i | ||||
\(309\) | −4.19023 | + | 14.2706i | −0.238374 | + | 0.811826i | ||||
\(310\) | 0.0225922 | + | 0.117219i | 0.00128315 | + | 0.00665761i | ||||
\(311\) | 0.277342 | + | 0.0959891i | 0.0157266 | + | 0.00544304i | 0.334920 | − | 0.942247i | \(-0.391291\pi\) |
−0.319193 | + | 0.947690i | \(0.603412\pi\) | |||||||
\(312\) | 0.484428 | + | 1.99684i | 0.0274253 | + | 0.113049i | ||||
\(313\) | 18.1767 | + | 25.5255i | 1.02741 | + | 1.44279i | 0.892020 | + | 0.451996i | \(0.149288\pi\) |
0.135385 | + | 0.990793i | \(0.456773\pi\) | |||||||
\(314\) | 4.51993 | + | 2.90478i | 0.255074 | + | 0.163926i | ||||
\(315\) | −0.126245 | + | 0.138608i | −0.00711313 | + | 0.00780969i | ||||
\(316\) | −2.70452 | − | 0.388851i | −0.152141 | − | 0.0218746i | ||||
\(317\) | −11.2029 | − | 1.06975i | −0.629220 | − | 0.0600832i | −0.224426 | − | 0.974491i | \(-0.572051\pi\) |
−0.404794 | + | 0.914408i | \(0.632657\pi\) | |||||||
\(318\) | −16.2681 | + | 12.7934i | −0.912272 | + | 0.717418i | ||||
\(319\) | −9.24819 | + | 17.9390i | −0.517799 | + | 1.00439i | ||||
\(320\) | −0.0109403 | − | 0.0316100i | −0.000611582 | − | 0.00176705i | ||||
\(321\) | 4.71033 | 0.262905 | ||||||||
\(322\) | 17.0897 | + | 14.1537i | 0.952374 | + | 0.788757i | ||||
\(323\) | 13.0688 | 0.727167 | ||||||||
\(324\) | −0.346138 | − | 1.00010i | −0.0192299 | − | 0.0555612i | ||||
\(325\) | −2.85578 | + | 5.53944i | −0.158410 | + | 0.307273i | ||||
\(326\) | 23.0103 | − | 18.0955i | 1.27442 | − | 1.00222i | ||||
\(327\) | 1.71312 | + | 0.163583i | 0.0947360 | + | 0.00904619i | ||||
\(328\) | 16.5651 | + | 2.38170i | 0.914655 | + | 0.131508i | ||||
\(329\) | −0.963863 | + | 4.41050i | −0.0531395 | + | 0.243159i | ||||
\(330\) | 0.486774 | + | 0.312831i | 0.0267960 | + | 0.0172208i | ||||
\(331\) | 1.20887 | + | 1.69762i | 0.0664455 | + | 0.0933097i | 0.846462 | − | 0.532450i | \(-0.178729\pi\) |
−0.780016 | + | 0.625760i | \(0.784789\pi\) | |||||||
\(332\) | 3.66401 | + | 15.1033i | 0.201089 | + | 0.828899i | ||||
\(333\) | −3.20413 | − | 1.10896i | −0.175585 | − | 0.0607707i | ||||
\(334\) | −4.30632 | − | 22.3433i | −0.235631 | − | 1.22257i | ||||
\(335\) | −0.175952 | + | 0.599237i | −0.00961327 | + | 0.0327398i | ||||
\(336\) | 5.21558 | − | 12.1474i | 0.284533 | − | 0.662696i | ||||
\(337\) | −2.56568 | + | 3.99227i | −0.139761 | + | 0.217473i | −0.904077 | − | 0.427369i | \(-0.859440\pi\) |
0.764316 | + | 0.644842i | \(0.223077\pi\) | |||||||
\(338\) | −4.71800 | + | 19.4478i | −0.256625 | + | 1.05782i | ||||
\(339\) | −16.4071 | + | 6.56839i | −0.891109 | + | 0.356746i | ||||
\(340\) | −0.141804 | + | 0.199136i | −0.00769040 | + | 0.0107997i | ||||
\(341\) | −4.17570 | − | 1.67170i | −0.226127 | − | 0.0905276i | ||||
\(342\) | −5.89809 | + | 3.79047i | −0.318932 | + | 0.204965i | ||||
\(343\) | −14.7943 | − | 11.1413i | −0.798819 | − | 0.601571i | ||||
\(344\) | 17.6749i | 0.952967i | ||||||||
\(345\) | −0.321091 | − | 0.111327i | −0.0172870 | − | 0.00599367i | ||||
\(346\) | 21.9487 | − | 12.6721i | 1.17997 | − | 0.681256i | ||||
\(347\) | 7.45738 | + | 1.43729i | 0.400333 | + | 0.0771579i | 0.385444 | − | 0.922731i | \(-0.374048\pi\) |
0.0148893 | + | 0.999889i | \(0.495260\pi\) | |||||||
\(348\) | 4.56931 | − | 0.217663i | 0.244941 | − | 0.0116680i | ||||
\(349\) | −8.76696 | + | 1.26050i | −0.469285 | + | 0.0674729i | −0.372901 | − | 0.927871i | \(-0.621637\pi\) |
−0.0963840 | + | 0.995344i | \(0.530728\pi\) | |||||||
\(350\) | 20.7979 | − | 10.0784i | 1.11170 | − | 0.538716i | ||||
\(351\) | 0.177567 | − | 1.23500i | 0.00947780 | − | 0.0659196i | ||||
\(352\) | −24.7045 | − | 5.99326i | −1.31676 | − | 0.319442i | ||||
\(353\) | 34.8138 | + | 1.65839i | 1.85295 | + | 0.0882670i | 0.944260 | − | 0.329200i | \(-0.106779\pi\) |
0.908692 | + | 0.417467i | \(0.137082\pi\) | |||||||
\(354\) | −12.2429 | + | 1.16906i | −0.650703 | + | 0.0621346i | ||||
\(355\) | −0.277883 | + | 0.264961i | −0.0147485 | + | 0.0140627i | ||||
\(356\) | 2.51914 | + | 2.90724i | 0.133514 | + | 0.154084i | ||||
\(357\) | 8.42928 | − | 1.82524i | 0.446125 | − | 0.0966019i | ||||
\(358\) | −25.0993 | − | 7.36982i | −1.32654 | − | 0.389507i | ||||
\(359\) | −17.4861 | + | 12.4518i | −0.922882 | + | 0.657181i | −0.939452 | − | 0.342681i | \(-0.888665\pi\) |
0.0165696 | + | 0.999863i | \(0.494725\pi\) | |||||||
\(360\) | −0.00555273 | + | 0.116566i | −0.000292655 | + | 0.00614357i | ||||
\(361\) | −2.11862 | − | 2.02010i | −0.111506 | − | 0.106321i | ||||
\(362\) | 10.9696 | + | 8.62657i | 0.576548 | + | 0.453402i | ||||
\(363\) | −9.82558 | + | 4.48719i | −0.515709 | + | 0.235516i | ||||
\(364\) | −2.69610 | + | 2.22176i | −0.141314 | + | 0.116452i | ||||
\(365\) | 0.367647 | + | 0.572070i | 0.0192435 | + | 0.0299435i | ||||
\(366\) | 23.4546 | − | 8.11772i | 1.22599 | − | 0.424320i | ||||
\(367\) | 16.0508 | + | 27.8008i | 0.837846 | + | 1.45119i | 0.891692 | + | 0.452642i | \(0.149518\pi\) |
−0.0538467 | + | 0.998549i | \(0.517148\pi\) | |||||||
\(368\) | 23.9628 | + | 0.0131049i | 1.24915 | + | 0.000683140i | ||||
\(369\) | −8.80072 | − | 5.08110i | −0.458147 | − | 0.264511i | ||||
\(370\) | −0.317550 | − | 0.275158i | −0.0165086 | − | 0.0143048i | ||||
\(371\) | 28.1506 | + | 13.7080i | 1.46151 | + | 0.711684i | ||||
\(372\) | 0.145086 | + | 1.00910i | 0.00752237 | + | 0.0523192i | ||||
\(373\) | 3.31656 | − | 34.7325i | 0.171725 | − | 1.79838i | −0.341243 | − | 0.939975i | \(-0.610848\pi\) |
0.512968 | − | 0.858408i | \(-0.328546\pi\) | |||||||
\(374\) | −9.89296 | − | 24.7114i | −0.511553 | − | 1.27780i | ||||
\(375\) | −0.488760 | + | 0.512596i | −0.0252394 | + | 0.0264704i | ||||
\(376\) | 1.28766 | + | 2.49770i | 0.0664058 | + | 0.128809i | ||||
\(377\) | 4.90578 | + | 2.24039i | 0.252661 | + | 0.115386i | ||||
\(378\) | −3.27483 | + | 3.26858i | −0.168439 | + | 0.168118i | ||||
\(379\) | 20.5322 | − | 17.7912i | 1.05467 | − | 0.913873i | 0.0582365 | − | 0.998303i | \(-0.481452\pi\) |
0.996429 | + | 0.0844295i | \(0.0269068\pi\) | |||||||
\(380\) | −0.295223 | + | 0.0568995i | −0.0151446 | + | 0.00291888i | ||||
\(381\) | 13.7723 | − | 3.34112i | 0.705576 | − | 0.171171i | ||||
\(382\) | −1.27944 | − | 13.3989i | −0.0654619 | − | 0.685548i | ||||
\(383\) | 1.05709 | − | 0.544966i | 0.0540146 | − | 0.0278465i | −0.431008 | − | 0.902348i | \(-0.641842\pi\) |
0.485022 | + | 0.874502i | \(0.338812\pi\) | |||||||
\(384\) | −3.30030 | − | 11.2398i | −0.168418 | − | 0.573577i | ||||
\(385\) | 0.104758 | − | 0.869114i | 0.00533898 | − | 0.0442941i | ||||
\(386\) | −9.18390 | − | 20.1099i | −0.467448 | − | 1.02357i | ||||
\(387\) | 3.98892 | − | 9.96385i | 0.202768 | − | 0.506491i | ||||
\(388\) | −2.51091 | − | 1.29447i | −0.127472 | − | 0.0657166i | ||||
\(389\) | −5.35536 | + | 27.7862i | −0.271527 | + | 1.40882i | 0.548336 | + | 0.836258i | \(0.315262\pi\) |
−0.819863 | + | 0.572559i | \(0.805951\pi\) | |||||||
\(390\) | 0.0773101 | − | 0.133905i | 0.00391475 | − | 0.00678054i | ||||
\(391\) | 9.06134 | + | 12.7396i | 0.458252 | + | 0.644270i | ||||
\(392\) | −11.5158 | + | 0.526496i | −0.581636 | + | 0.0265921i | ||||
\(393\) | 11.9737 | − | 13.8184i | 0.603995 | − | 0.697047i | ||||
\(394\) | 0.552107 | + | 11.5902i | 0.0278148 | + | 0.583903i | ||||
\(395\) | −0.113093 | − | 0.143810i | −0.00569034 | − | 0.00723585i | ||||
\(396\) | 4.02521 | + | 2.86634i | 0.202274 | + | 0.144039i | ||||
\(397\) | −11.0848 | + | 14.0954i | −0.556328 | + | 0.707429i | −0.980137 | − | 0.198323i | \(-0.936450\pi\) |
0.423809 | + | 0.905752i | \(0.360693\pi\) | |||||||
\(398\) | 11.3690 | − | 3.33823i | 0.569875 | − | 0.167330i | ||||
\(399\) | 9.05184 | + | 5.52926i | 0.453159 | + | 0.276809i | ||||
\(400\) | 10.3679 | − | 22.7025i | 0.518395 | − | 1.13513i | ||||
\(401\) | 9.57752 | + | 10.0446i | 0.478279 | + | 0.501604i | 0.918028 | − | 0.396516i | \(-0.129781\pi\) |
−0.439749 | + | 0.898121i | \(0.644933\pi\) | |||||||
\(402\) | −5.04104 | + | 14.5651i | −0.251424 | + | 0.726443i | ||||
\(403\) | −0.393109 | + | 1.13581i | −0.0195822 | + | 0.0565790i | ||||
\(404\) | −7.48623 | − | 7.85133i | −0.372454 | − | 0.390618i | ||||
\(405\) | 0.0294372 | − | 0.0644585i | 0.00146275 | − | 0.00320297i | ||||
\(406\) | −9.56799 | − | 17.5624i | −0.474851 | − | 0.871606i | ||||
\(407\) | 15.1903 | − | 4.46027i | 0.752954 | − | 0.221087i | ||||
\(408\) | 3.31850 | − | 4.21982i | 0.164290 | − | 0.208912i | ||||
\(409\) | −2.60287 | − | 1.85350i | −0.128704 | − | 0.0916496i | 0.513892 | − | 0.857855i | \(-0.328203\pi\) |
−0.642596 | + | 0.766205i | \(0.722143\pi\) | |||||||
\(410\) | −0.778472 | − | 0.989907i | −0.0384460 | − | 0.0488880i | ||||
\(411\) | 0.314268 | + | 6.59730i | 0.0155017 | + | 0.325421i | ||||
\(412\) | −10.3077 | + | 11.8957i | −0.507823 | + | 0.586059i | ||||
\(413\) | 9.66888 | + | 15.8970i | 0.475774 | + | 0.782239i | ||||
\(414\) | −7.78448 | − | 3.12137i | −0.382586 | − | 0.153407i | ||||
\(415\) | −0.520309 | + | 0.901202i | −0.0255410 | + | 0.0442383i | ||||
\(416\) | −1.28558 | + | 6.67023i | −0.0630308 | + | 0.327035i | ||||
\(417\) | −5.67405 | − | 2.92518i | −0.277859 | − | 0.143247i | ||||
\(418\) | 12.1669 | − | 30.3913i | 0.595100 | − | 1.48649i | ||||
\(419\) | 8.49681 | + | 18.6054i | 0.415096 | + | 0.908934i | 0.995514 | + | 0.0946149i | \(0.0301620\pi\) |
−0.580418 | + | 0.814319i | \(0.697111\pi\) | |||||||
\(420\) | −0.182470 | + | 0.0779318i | −0.00890362 | + | 0.00380268i | ||||
\(421\) | −9.51760 | − | 32.4140i | −0.463860 | − | 1.57976i | −0.776646 | − | 0.629937i | \(-0.783081\pi\) |
0.312787 | − | 0.949823i | \(-0.398738\pi\) | |||||||
\(422\) | 22.4745 | − | 11.5864i | 1.09404 | − | 0.564019i | ||||
\(423\) | −0.162199 | − | 1.69863i | −0.00788640 | − | 0.0825902i | ||||
\(424\) | 18.9399 | − | 4.59477i | 0.919802 | − | 0.223142i | ||||
\(425\) | 15.9884 | − | 3.08151i | 0.775552 | − | 0.149475i | ||||
\(426\) | −7.16123 | + | 6.20524i | −0.346963 | + | 0.300645i | ||||
\(427\) | −26.5261 | − | 26.5769i | −1.28369 | − | 1.28615i | ||||
\(428\) | 4.53450 | + | 2.07083i | 0.219183 | + | 0.100098i | ||||
\(429\) | 2.66954 | + | 5.17819i | 0.128887 | + | 0.250005i | ||||
\(430\) | 0.917827 | − | 0.962589i | 0.0442616 | − | 0.0464202i | ||||
\(431\) | 3.23976 | + | 8.09253i | 0.156054 | + | 0.389804i | 0.985705 | − | 0.168478i | \(-0.0538852\pi\) |
−0.829652 | + | 0.558281i | \(0.811461\pi\) | |||||||
\(432\) | −0.474957 | + | 4.97398i | −0.0228514 | + | 0.239310i | ||||
\(433\) | 0.839258 | + | 5.83717i | 0.0403322 | + | 0.280516i | 1.00000 | 0.000620667i | \(-0.000197565\pi\) | |
−0.959668 | + | 0.281137i | \(0.909288\pi\) | |||||||
\(434\) | 3.69354 | − | 2.49472i | 0.177296 | − | 0.119750i | ||||
\(435\) | 0.231486 | + | 0.200583i | 0.0110989 | + | 0.00961723i | ||||
\(436\) | 1.57725 | + | 0.910629i | 0.0755368 | + | 0.0436112i | ||||
\(437\) | −2.74667 | + | 19.0296i | −0.131391 | + | 0.910311i | ||||
\(438\) | 8.39109 | + | 14.5338i | 0.400942 | + | 0.694452i | ||||
\(439\) | −22.0330 | + | 7.62570i | −1.05158 | + | 0.363955i | −0.797557 | − | 0.603244i | \(-0.793875\pi\) |
−0.254021 | + | 0.967199i | \(0.581753\pi\) | |||||||
\(440\) | −0.294590 | − | 0.458392i | −0.0140440 | − | 0.0218530i | ||||
\(441\) | 6.61062 | + | 2.30212i | 0.314791 | + | 0.109625i | ||||
\(442\) | −6.47007 | + | 2.95478i | −0.307750 | + | 0.140545i | ||||
\(443\) | −22.2278 | − | 17.4801i | −1.05607 | − | 0.830506i | −0.0701229 | − | 0.997538i | \(-0.522339\pi\) |
−0.985951 | + | 0.167032i | \(0.946582\pi\) | |||||||
\(444\) | −2.59698 | − | 2.47622i | −0.123247 | − | 0.117516i | ||||
\(445\) | −0.0122560 | + | 0.257285i | −0.000580989 | + | 0.0121965i | ||||
\(446\) | 27.7406 | − | 19.7540i | 1.31356 | − | 0.935380i | ||||
\(447\) | −7.16794 | − | 2.10470i | −0.339032 | − | 0.0995488i | ||||
\(448\) | −0.924925 | + | 0.839198i | −0.0436986 | + | 0.0396484i | ||||
\(449\) | −17.3970 | − | 20.0772i | −0.821016 | − | 0.947503i | 0.178318 | − | 0.983973i | \(-0.442934\pi\) |
−0.999335 | + | 0.0364695i | \(0.988389\pi\) | |||||||
\(450\) | −6.32198 | + | 6.02800i | −0.298021 | + | 0.284162i | ||||
\(451\) | 47.2348 | − | 4.51037i | 2.22420 | − | 0.212385i | ||||
\(452\) | −18.6823 | − | 0.889947i | −0.878740 | − | 0.0418596i | ||||
\(453\) | −11.4797 | − | 2.78495i | −0.539364 | − | 0.130848i | ||||
\(454\) | −5.37156 | + | 37.3601i | −0.252100 | + | 1.75339i | ||||
\(455\) | −0.233312 | − | 0.0169110i | −0.0109378 | − | 0.000792801i | ||||
\(456\) | 6.53508 | − | 0.939602i | 0.306033 | − | 0.0440009i | ||||
\(457\) | −11.2020 | + | 0.533616i | −0.524006 | + | 0.0249615i | −0.307919 | − | 0.951413i | \(-0.599633\pi\) |
−0.216087 | + | 0.976374i | \(0.569330\pi\) | |||||||
\(458\) | 3.54048 | + | 0.682373i | 0.165436 | + | 0.0318852i | ||||
\(459\) | −2.82307 | + | 1.62990i | −0.131770 | + | 0.0760773i | ||||
\(460\) | −0.260161 | − | 0.248335i | −0.0121301 | − | 0.0115787i | ||||
\(461\) | − | 21.1426i | − | 0.984707i | −0.870395 | − | 0.492354i | \(-0.836137\pi\) | ||
0.870395 | − | 0.492354i | \(-0.163863\pi\) | |||||||
\(462\) | 3.60297 | − | 21.3015i | 0.167625 | − | 0.991034i | ||||
\(463\) | −8.88274 | + | 5.70859i | −0.412816 | + | 0.265301i | −0.730523 | − | 0.682888i | \(-0.760724\pi\) |
0.317707 | + | 0.948189i | \(0.397087\pi\) | |||||||
\(464\) | −20.0505 | − | 8.02702i | −0.930823 | − | 0.372645i | ||||
\(465\) | −0.0395958 | + | 0.0556046i | −0.00183621 | + | 0.00257860i | ||||
\(466\) | −6.11806 | + | 2.44930i | −0.283414 | + | 0.113462i | ||||
\(467\) | 6.51707 | − | 26.8637i | 0.301574 | − | 1.24311i | −0.596267 | − | 0.802786i | \(-0.703350\pi\) |
0.897841 | − | 0.440319i | \(-0.145135\pi\) | |||||||
\(468\) | 0.713890 | − | 1.11084i | 0.0329996 | − | 0.0513484i | ||||
\(469\) | 23.1557 | − | 2.74615i | 1.06923 | − | 0.126805i | ||||
\(470\) | 0.0595747 | − | 0.202893i | 0.00274797 | − | 0.00935874i | ||||
\(471\) | 0.581437 | + | 3.01678i | 0.0267912 | + | 0.139006i | ||||
\(472\) | 10.9445 | + | 3.78794i | 0.503763 | + | 0.174354i | ||||
\(473\) | 11.8146 | + | 48.7006i | 0.543237 | + | 2.23926i | ||||
\(474\) | −2.61898 | − | 3.67785i | −0.120294 | − | 0.168929i | ||||
\(475\) | 16.8463 | + | 10.8265i | 0.772961 | + | 0.496752i | ||||
\(476\) | 8.91706 | + | 1.94872i | 0.408713 | + | 0.0893193i | ||||
\(477\) | −11.7139 | − | 1.68421i | −0.536343 | − | 0.0771145i | ||||
\(478\) | 26.2570 | + | 2.50724i | 1.20097 | + | 0.114678i | ||||
\(479\) | 14.7426 | − | 11.5937i | 0.673608 | − | 0.529731i | −0.221736 | − | 0.975107i | \(-0.571172\pi\) |
0.895344 | + | 0.445376i | \(0.146930\pi\) | |||||||
\(480\) | −0.176785 | + | 0.342914i | −0.00806907 | + | 0.0156518i | ||||
\(481\) | −1.38365 | − | 3.99781i | −0.0630892 | − | 0.182284i | ||||
\(482\) | −27.1330 | −1.23588 | ||||||||
\(483\) | 0.886169 | + | 12.6576i | 0.0403221 | + | 0.575941i | ||||
\(484\) | −11.4315 | −0.519614 | ||||||||
\(485\) | −0.0618659 | − | 0.178750i | −0.00280919 | − | 0.00811662i | ||||
\(486\) | 0.801347 | − | 1.55440i | 0.0363498 | − | 0.0705089i | ||||
\(487\) | −5.83448 | + | 4.58829i | −0.264386 | + | 0.207915i | −0.741548 | − | 0.670900i | \(-0.765908\pi\) |
0.477162 | + | 0.878815i | \(0.341665\pi\) | |||||||
\(488\) | −23.2667 | − | 2.22170i | −1.05323 | − | 0.100572i | ||||
\(489\) | 16.5686 | + | 2.38221i | 0.749260 | + | 0.107727i | ||||
\(490\) | 0.654501 | + | 0.569323i | 0.0295673 | + | 0.0257194i | ||||
\(491\) | −18.1104 | − | 11.6389i | −0.817312 | − | 0.525254i | 0.0639109 | − | 0.997956i | \(-0.479643\pi\) |
−0.881223 | + | 0.472701i | \(0.843279\pi\) | |||||||
\(492\) | −6.23835 | − | 8.76054i | −0.281247 | − | 0.394955i | ||||
\(493\) | −3.32193 | − | 13.6932i | −0.149612 | − | 0.616711i | ||||
\(494\) | −8.26661 | − | 2.86110i | −0.371932 | − | 0.128727i | ||||
\(495\) | 0.0626179 | + | 0.324893i | 0.00281447 | + | 0.0146028i | ||||
\(496\) | 1.35605 | − | 4.61828i | 0.0608885 | − | 0.207367i | ||||
\(497\) | 13.1728 | + | 5.65584i | 0.590881 | + | 0.253699i | ||||
\(498\) | −13.8844 | + | 21.6045i | −0.622174 | + | 0.968121i | ||||
\(499\) | 2.94744 | − | 12.1495i | 0.131945 | − | 0.543886i | −0.867014 | − | 0.498283i | \(-0.833964\pi\) |
0.998960 | − | 0.0456028i | \(-0.0145209\pi\) | |||||||
\(500\) | −0.695870 | + | 0.278584i | −0.0311203 | + | 0.0124587i | ||||
\(501\) | 7.54740 | − | 10.5988i | 0.337193 | − | 0.473521i | ||||
\(502\) | 7.46043 | + | 2.98671i | 0.332975 | + | 0.133303i | ||||
\(503\) | −1.18444 | + | 0.761196i | −0.0528117 | + | 0.0339400i | −0.566780 | − | 0.823869i | \(-0.691811\pi\) |
0.513969 | + | 0.857809i | \(0.328175\pi\) | |||||||
\(504\) | 4.08385 | − | 1.51875i | 0.181909 | − | 0.0676506i | ||||
\(505\) | − | 0.726386i | − | 0.0323237i | ||||||
\(506\) | 38.0618 | − | 9.21165i | 1.69205 | − | 0.409508i | ||||
\(507\) | −9.91013 | + | 5.72162i | −0.440125 | + | 0.254106i | ||||
\(508\) | 14.7271 | + | 2.83841i | 0.653407 | + | 0.125934i | ||||
\(509\) | −3.09116 | + | 0.147250i | −0.137013 | + | 0.00652674i | −0.115976 | − | 0.993252i | \(-0.537000\pi\) |
−0.0210367 | + | 0.999779i | \(0.506697\pi\) | |||||||
\(510\) | −0.399856 | + | 0.0574906i | −0.0177059 | + | 0.00254573i | ||||
\(511\) | 14.2512 | − | 21.0128i | 0.630436 | − | 0.929552i | ||||
\(512\) | 1.52936 | − | 10.6369i | 0.0675888 | − | 0.470090i | ||||
\(513\) | −3.89606 | − | 0.945174i | −0.172015 | − | 0.0417305i | ||||
\(514\) | 9.59187 | + | 0.456917i | 0.423079 | + | 0.0201538i | ||||
\(515\) | −1.04917 | + | 0.100183i | −0.0462318 | + | 0.00441460i | ||||
\(516\) | 8.22049 | − | 7.83822i | 0.361887 | − | 0.345058i | ||||
\(517\) | 5.21751 | + | 6.02133i | 0.229466 | + | 0.264818i | ||||
\(518\) | −4.79108 | + | 14.9385i | −0.210508 | + | 0.656361i | ||||
\(519\) | 13.9053 | + | 4.08296i | 0.610374 | + | 0.179222i | ||||
\(520\) | −0.118606 | + | 0.0844591i | −0.00520122 | + | 0.00370378i | ||||
\(521\) | 0.134459 | − | 2.82264i | 0.00589076 | − | 0.123662i | −0.994006 | − | 0.109322i | \(-0.965132\pi\) |
0.999897 | − | 0.0143405i | \(-0.00456488\pi\) | |||||||
\(522\) | 5.47080 | + | 5.21640i | 0.239450 | + | 0.228315i | ||||
\(523\) | 1.50452 | + | 1.18317i | 0.0657879 | + | 0.0517362i | 0.650511 | − | 0.759496i | \(-0.274555\pi\) |
−0.584724 | + | 0.811233i | \(0.698797\pi\) | |||||||
\(524\) | 17.6018 | − | 8.03848i | 0.768939 | − | 0.351163i | ||||
\(525\) | 12.3778 | + | 4.63017i | 0.540212 | + | 0.202077i | ||||
\(526\) | 2.77481 | + | 4.31769i | 0.120988 | + | 0.188260i | ||||
\(527\) | 2.96748 | − | 1.02706i | 0.129266 | − | 0.0447392i | ||||
\(528\) | −11.6651 | − | 20.2046i | −0.507660 | − | 0.879293i | ||||
\(529\) | −20.4547 | + | 10.5168i | −0.889336 | + | 0.457254i | ||||
\(530\) | −1.27008 | − | 0.733281i | −0.0551687 | − | 0.0318517i | ||||
\(531\) | −5.31487 | − | 4.60537i | −0.230646 | − | 0.199856i | ||||
\(532\) | 6.28307 | + | 9.30237i | 0.272405 | + | 0.403309i | ||||
\(533\) | −1.80447 | − | 12.5503i | −0.0781601 | − | 0.543616i | ||||
\(534\) | −0.604243 | + | 6.32792i | −0.0261482 | + | 0.273836i | ||||
\(535\) | 0.124055 | + | 0.309875i | 0.00536337 | + | 0.0133971i | ||||
\(536\) | 10.0159 | − | 10.5044i | 0.432622 | − | 0.453721i | ||||
\(537\) | −6.85424 | − | 13.2954i | −0.295782 | − | 0.573738i | ||||
\(538\) | −40.3949 | − | 18.4477i | −1.74155 | − | 0.795338i | ||||
\(539\) | −31.3782 | + | 9.14833i | −1.35155 | + | 0.394047i | ||||
\(540\) | 0.0566766 | − | 0.0491106i | 0.00243897 | − | 0.00211338i | ||||
\(541\) | −22.0134 | + | 4.24273i | −0.946428 | + | 0.182409i | −0.639039 | − | 0.769175i | \(-0.720668\pi\) |
−0.307390 | + | 0.951584i | \(0.599455\pi\) | |||||||
\(542\) | 14.7305 | − | 3.57359i | 0.632731 | − | 0.153499i | ||||
\(543\) | 0.758538 | + | 7.94377i | 0.0325520 | + | 0.340900i | ||||
\(544\) | 15.7747 | − | 8.13245i | 0.676337 | − | 0.348676i | ||||
\(545\) | 0.0343567 | + | 0.117008i | 0.00147168 | + | 0.00501208i | ||||
\(546\) | −5.73150 | − | 0.690844i | −0.245286 | − | 0.0295654i | ||||
\(547\) | 4.95472 | + | 10.8493i | 0.211848 | + | 0.463883i | 0.985489 | − | 0.169742i | \(-0.0542934\pi\) |
−0.773640 | + | 0.633625i | \(0.781566\pi\) | |||||||
\(548\) | −2.59788 | + | 6.48918i | −0.110976 | + | 0.277204i | ||||
\(549\) | 12.6147 | + | 6.50333i | 0.538382 | + | 0.277555i | ||||
\(550\) | 7.71895 | − | 40.0497i | 0.329137 | − | 1.70773i | ||||
\(551\) | 8.66453 | − | 15.0074i | 0.369121 | − | 0.639337i | ||||
\(552\) | 5.44708 | + | 5.71899i | 0.231843 | + | 0.243416i | ||||
\(553\) | −3.27938 | + | 5.99210i | −0.139453 | + | 0.254810i | ||||
\(554\) | 21.2585 | − | 24.5336i | 0.903187 | − | 1.04233i | ||||
\(555\) | −0.0114323 | − | 0.239994i | −0.000485276 | − | 0.0101872i | ||||
\(556\) | −4.17622 | − | 5.31050i | −0.177111 | − | 0.225215i | ||||
\(557\) | −33.9519 | − | 24.1770i | −1.43859 | − | 1.02441i | −0.991526 | − | 0.129910i | \(-0.958531\pi\) |
−0.447061 | − | 0.894503i | \(-0.647529\pi\) | |||||||
\(558\) | −1.04137 | + | 1.32421i | −0.0440847 | + | 0.0560582i | ||||
\(559\) | 12.8487 | − | 3.77272i | 0.543443 | − | 0.159569i | ||||
\(560\) | 0.936494 | + | 0.0231887i | 0.0395741 | + | 0.000979900i | ||||
\(561\) | 6.32294 | − | 13.8453i | 0.266955 | − | 0.584549i | ||||
\(562\) | −13.0945 | − | 13.7331i | −0.552358 | − | 0.579296i | ||||
\(563\) | −5.04386 | + | 14.5733i | −0.212573 | + | 0.614190i | −0.999998 | − | 0.00222113i | \(-0.999293\pi\) |
0.787424 | + | 0.616412i | \(0.211414\pi\) | |||||||
\(564\) | 0.590635 | − | 1.70653i | 0.0248702 | − | 0.0718578i | ||||
\(565\) | −0.864219 | − | 0.906367i | −0.0363580 | − | 0.0381311i | ||||
\(566\) | 17.4962 | − | 38.3114i | 0.735421 | − | 1.61035i | ||||
\(567\) | −2.64494 | − | 0.0654918i | −0.111077 | − | 0.00275040i | ||||
\(568\) | 8.56172 | − | 2.51395i | 0.359242 | − | 0.105483i | ||||
\(569\) | −0.591014 | + | 0.751536i | −0.0247766 | + | 0.0315060i | −0.798284 | − | 0.602282i | \(-0.794258\pi\) |
0.773507 | + | 0.633788i | \(0.218501\pi\) | |||||||
\(570\) | −0.404697 | − | 0.288184i | −0.0169509 | − | 0.0120707i | ||||
\(571\) | −27.4839 | − | 34.9487i | −1.15017 | − | 1.46256i | −0.863374 | − | 0.504564i | \(-0.831653\pi\) |
−0.286793 | − | 0.957992i | \(-0.592589\pi\) | |||||||
\(572\) | 0.293366 | + | 6.15851i | 0.0122662 | + | 0.257500i | ||||
\(573\) | 5.04021 | − | 5.81672i | 0.210558 | − | 0.242997i | ||||
\(574\) | −22.5734 | + | 41.2464i | −0.942197 | + | 1.72159i | ||||
\(575\) | 1.12674 | + | 23.9286i | 0.0469884 | + | 0.997890i | ||||
\(576\) | 0.236019 | − | 0.408797i | 0.00983413 | − | 0.0170332i | ||||
\(577\) | −4.72210 | + | 24.5006i | −0.196584 | + | 1.01997i | 0.740814 | + | 0.671711i | \(0.234440\pi\) |
−0.937397 | + | 0.348262i | \(0.886772\pi\) | |||||||
\(578\) | −9.90721 | − | 5.10752i | −0.412086 | − | 0.212445i | ||||
\(579\) | 4.69843 | − | 11.7361i | 0.195260 | − | 0.487736i | ||||
\(580\) | 0.134660 | + | 0.294865i | 0.00559147 | + | 0.0122436i | ||||
\(581\) | 38.5739 | + | 4.64949i | 1.60032 | + | 0.192893i | ||||
\(582\) | −1.31515 | − | 4.47900i | −0.0545149 | − | 0.185661i | ||||
\(583\) | 49.1147 | − | 25.3204i | 2.03412 | − | 1.04866i | ||||
\(584\) | −1.50223 | − | 15.7321i | −0.0621629 | − | 0.650999i | ||||
\(585\) | 0.0859227 | − | 0.0208446i | 0.00355247 | − | 0.000861819i | ||||
\(586\) | −24.9158 | + | 4.80213i | −1.02926 | + | 0.198374i | ||||
\(587\) | −10.1989 | + | 8.83736i | −0.420952 | + | 0.364757i | −0.839428 | − | 0.543471i | \(-0.817110\pi\) |
0.418476 | + | 0.908228i | \(0.362564\pi\) | |||||||
\(588\) | 5.35174 | + | 5.12245i | 0.220702 | + | 0.211246i | ||||
\(589\) | 3.51296 | + | 1.60432i | 0.144749 | + | 0.0661047i | ||||
\(590\) | −0.399347 | − | 0.774625i | −0.0164409 | − | 0.0318908i | ||||
\(591\) | −4.57867 | + | 4.80197i | −0.188341 | + | 0.197527i | ||||
\(592\) | 6.29654 | + | 15.7280i | 0.258786 | + | 0.646417i | ||||
\(593\) | −3.34369 | + | 35.0167i | −0.137309 | + | 1.43797i | 0.619843 | + | 0.784726i | \(0.287196\pi\) |
−0.757152 | + | 0.653239i | \(0.773410\pi\) | |||||||
\(594\) | 1.16208 | + | 8.08244i | 0.0476807 | + | 0.331627i | ||||
\(595\) | 0.342076 | + | 0.506459i | 0.0140237 | + | 0.0207628i | ||||
\(596\) | −5.97506 | − | 5.17742i | −0.244748 | − | 0.212075i | ||||
\(597\) | 5.86772 | + | 3.38773i | 0.240150 | + | 0.138651i | ||||
\(598\) | −2.94268 | − | 10.0422i | −0.120335 | − | 0.410654i | ||||
\(599\) | 0.817928 | + | 1.41669i | 0.0334196 | + | 0.0578845i | 0.882251 | − | 0.470778i | \(-0.156027\pi\) |
−0.848832 | + | 0.528663i | \(0.822694\pi\) | |||||||
\(600\) | 7.77349 | − | 2.69043i | 0.317351 | − | 0.109836i | ||||
\(601\) | 18.3386 | + | 28.5354i | 0.748047 | + | 1.16398i | 0.981471 | + | 0.191609i | \(0.0613707\pi\) |
−0.233424 | + | 0.972375i | \(0.574993\pi\) | |||||||
\(602\) | −46.5112 | − | 17.3985i | −1.89566 | − | 0.709108i | ||||
\(603\) | −8.01692 | + | 3.66121i | −0.326474 | + | 0.149096i | ||||
\(604\) | −9.82681 | − | 7.72789i | −0.399847 | − | 0.314443i | ||||
\(605\) | −0.553970 | − | 0.528209i | −0.0225221 | − | 0.0214747i | ||||
\(606\) | 0.852973 | − | 17.9061i | 0.0346497 | − | 0.727386i | ||||
\(607\) | −27.7975 | + | 19.7945i | −1.12826 | + | 0.803434i | −0.982569 | − | 0.185896i | \(-0.940481\pi\) |
−0.145695 | + | 0.989330i | \(0.546542\pi\) | |||||||
\(608\) | 20.9428 | + | 6.14936i | 0.849343 | + | 0.249390i | ||||
\(609\) | 3.49257 | − | 10.8898i | 0.141526 | − | 0.441277i | ||||
\(610\) | 1.15175 | + | 1.32919i | 0.0466332 | + | 0.0538175i | ||||
\(611\) | 1.54085 | − | 1.46919i | 0.0623360 | − | 0.0594373i | ||||
\(612\) | −3.43425 | + | 0.327931i | −0.138821 | + | 0.0132558i | ||||
\(613\) | 9.43273 | + | 0.449336i | 0.380984 | + | 0.0181485i | 0.237201 | − | 0.971461i | \(-0.423770\pi\) |
0.143784 | + | 0.989609i | \(0.454073\pi\) | |||||||
\(614\) | −45.7642 | − | 11.1023i | −1.84689 | − | 0.448051i | ||||
\(615\) | 0.102483 | − | 0.712786i | 0.00413252 | − | 0.0287423i | ||||
\(616\) | −11.4193 | + | 16.8373i | −0.460096 | + | 0.678393i | ||||
\(617\) | −26.8615 | + | 3.86210i | −1.08140 | + | 0.155482i | −0.659906 | − | 0.751348i | \(-0.729404\pi\) |
−0.421496 | + | 0.906830i | \(0.638495\pi\) | |||||||
\(618\) | −25.9806 | + | 1.23761i | −1.04509 | + | 0.0497839i | ||||
\(619\) | 19.0869 | + | 3.67871i | 0.767169 | + | 0.147860i | 0.557798 | − | 0.829977i | \(-0.311646\pi\) |
0.209371 | + | 0.977836i | \(0.432858\pi\) | |||||||
\(620\) | −0.0625635 | + | 0.0361210i | −0.00251261 | + | 0.00145066i | ||||
\(621\) | −1.78000 | − | 4.45327i | −0.0714288 | − | 0.178704i | ||||
\(622\) | 0.513245i | 0.0205792i | ||||||||
\(623\) | 9.01388 | − | 3.35219i | 0.361133 | − | 0.134303i | ||||
\(624\) | −5.24460 | + | 3.37050i | −0.209952 | + | 0.134928i | ||||
\(625\) | 23.1393 | + | 9.26358i | 0.925572 | + | 0.370543i | ||||
\(626\) | −31.7874 | + | 44.6391i | −1.27048 | + | 1.78414i | ||||
\(627\) | 17.3784 | − | 6.95725i | 0.694025 | − | 0.277846i | ||||
\(628\) | −0.766556 | + | 3.15979i | −0.0305889 | + | 0.126089i | ||||
\(629\) | −5.97557 | + | 9.29816i | −0.238261 | + | 0.370742i | ||||
\(630\) | −0.301276 | − | 0.129355i | −0.0120031 | − | 0.00515362i | ||||
\(631\) | 1.31207 | − | 4.46851i | 0.0522328 | − | 0.177889i | −0.929245 | − | 0.369464i | \(-0.879541\pi\) |
0.981478 | + | 0.191575i | \(0.0613596\pi\) | |||||||
\(632\) | 0.804656 | + | 4.17495i | 0.0320075 | + | 0.166071i | ||||
\(633\) | 13.6635 | + | 4.72898i | 0.543074 | + | 0.187960i | ||||
\(634\) | −4.63993 | − | 19.1261i | −0.184275 | − | 0.759593i | ||||
\(635\) | 0.582518 | + | 0.818033i | 0.0231165 | + | 0.0324626i | ||||
\(636\) | −10.5362 | − | 6.77120i | −0.417787 | − | 0.268496i | ||||
\(637\) | 2.84080 | + | 8.25901i | 0.112556 | + | 0.327234i | ||||
\(638\) | −34.9361 | − | 5.02305i | −1.38313 | − | 0.198864i | ||||
\(639\) | −5.39384 | − | 0.515049i | −0.213377 | − | 0.0203750i | ||||
\(640\) | 0.652503 | − | 0.513134i | 0.0257924 | − | 0.0202834i | ||||
\(641\) | 16.2876 | − | 31.5935i | 0.643321 | − | 1.24787i | −0.311376 | − | 0.950287i | \(-0.600790\pi\) |
0.954696 | − | 0.297581i | \(-0.0961800\pi\) | |||||||
\(642\) | 2.69420 | + | 7.78439i | 0.106332 | + | 0.307225i | ||||
\(643\) | 33.2181 | 1.30999 | 0.654997 | − | 0.755632i | \(-0.272670\pi\) | ||||
0.654997 | + | 0.755632i | \(0.272670\pi\) | |||||||
\(644\) | −4.71165 | + | 12.5747i | −0.185665 | + | 0.495512i | ||||
\(645\) | 0.760539 | 0.0299462 | ||||||||
\(646\) | 7.47505 | + | 21.5977i | 0.294102 | + | 0.849751i | ||||
\(647\) | 11.9327 | − | 23.1462i | 0.469123 | − | 0.909972i | −0.528993 | − | 0.848626i | \(-0.677430\pi\) |
0.998117 | − | 0.0613461i | \(-0.0195393\pi\) | |||||||
\(648\) | −1.29450 | + | 1.01801i | −0.0508527 | + | 0.0399910i | ||||
\(649\) | 32.6881 | + | 3.12133i | 1.28312 | + | 0.122523i | ||||
\(650\) | −10.7880 | − | 1.55108i | −0.423141 | − | 0.0608385i | ||||
\(651\) | 2.48990 | + | 0.544139i | 0.0975870 | + | 0.0213265i | ||||
\(652\) | 14.9028 | + | 9.57746i | 0.583639 | + | 0.375082i | ||||
\(653\) | −3.15564 | − | 4.43147i | −0.123490 | − | 0.173417i | 0.748203 | − | 0.663470i | \(-0.230917\pi\) |
−0.871693 | + | 0.490053i | \(0.836977\pi\) | |||||||
\(654\) | 0.709526 | + | 2.92471i | 0.0277447 | + | 0.114365i | ||||
\(655\) | 1.22441 | + | 0.423773i | 0.0478417 | + | 0.0165582i | ||||
\(656\) | 9.60950 | + | 49.8588i | 0.375188 | + | 1.94666i | ||||
\(657\) | −2.70362 | + | 9.20767i | −0.105478 | + | 0.359225i | ||||
\(658\) | −7.84018 | + | 0.929806i | −0.305642 | + | 0.0362476i | ||||
\(659\) | −8.67396 | + | 13.4970i | −0.337890 | + | 0.525767i | −0.968069 | − | 0.250683i | \(-0.919345\pi\) |
0.630180 | + | 0.776449i | \(0.282981\pi\) | |||||||
\(660\) | −0.0825543 | + | 0.340293i | −0.00321342 | + | 0.0132459i | ||||
\(661\) | 5.05775 | − | 2.02482i | 0.196724 | − | 0.0787562i | −0.271209 | − | 0.962521i | \(-0.587423\pi\) |
0.467932 | + | 0.883764i | \(0.344999\pi\) | |||||||
\(662\) | −2.11407 | + | 2.96880i | −0.0821658 | + | 0.115386i | ||||
\(663\) | −3.77592 | − | 1.51165i | −0.146645 | − | 0.0587076i | ||||
\(664\) | 20.3448 | − | 13.0748i | 0.789532 | − | 0.507402i | ||||
\(665\) | −0.125352 | + | 0.741109i | −0.00486096 | + | 0.0287390i | ||||
\(666\) | − | 5.92951i | − | 0.229764i | ||||||
\(667\) | 20.6370 | − | 1.95921i | 0.799068 | − | 0.0758608i | ||||
\(668\) | 11.9253 | − | 6.88507i | 0.461404 | − | 0.266391i | ||||
\(669\) | 19.1216 | + | 3.68539i | 0.739284 | + | 0.142485i | ||||
\(670\) | −1.09095 | + | 0.0519684i | −0.0421471 | + | 0.00200771i | ||||
\(671\) | −65.5930 | + | 9.43085i | −2.53219 | + | 0.364074i | ||||
\(672\) | 14.3668 | + | 1.04134i | 0.554212 | + | 0.0401707i | ||||
\(673\) | −3.07202 | + | 21.3664i | −0.118418 | + | 0.823613i | 0.840881 | + | 0.541220i | \(0.182037\pi\) |
−0.959299 | + | 0.282393i | \(0.908872\pi\) | |||||||
\(674\) | −8.06521 | − | 1.95660i | −0.310660 | − | 0.0753654i | ||||
\(675\) | −4.98932 | − | 0.237671i | −0.192039 | − | 0.00914795i | ||||
\(676\) | −12.0556 | + | 1.15117i | −0.463678 | + | 0.0442758i | ||||
\(677\) | −15.9819 | + | 15.2387i | −0.614235 | + | 0.585672i | −0.931983 | − | 0.362503i | \(-0.881922\pi\) |
0.317747 | + | 0.948176i | \(0.397074\pi\) | |||||||
\(678\) | −20.2395 | − | 23.3576i | −0.777294 | − | 0.897045i | ||||
\(679\) | −5.23032 | + | 4.74555i | −0.200721 | + | 0.182118i | ||||
\(680\) | 0.365004 | + | 0.107175i | 0.0139973 | + | 0.00410997i | ||||
\(681\) | −17.5809 | + | 12.5193i | −0.673702 | + | 0.479741i | ||||
\(682\) | 0.374276 | − | 7.85702i | 0.0143318 | − | 0.300861i | ||||
\(683\) | −9.87837 | − | 9.41901i | −0.377985 | − | 0.360408i | 0.477142 | − | 0.878826i | \(-0.341673\pi\) |
−0.855127 | + | 0.518418i | \(0.826521\pi\) | |||||||
\(684\) | −3.33509 | − | 2.62274i | −0.127520 | − | 0.100283i | ||||
\(685\) | −0.425734 | + | 0.194426i | −0.0162665 | + | 0.00742865i | ||||
\(686\) | 9.95024 | − | 30.8219i | 0.379902 | − | 1.17679i | ||||
\(687\) | 1.11468 | + | 1.73448i | 0.0425278 | + | 0.0661745i | ||||
\(688\) | −50.6773 | + | 17.5396i | −1.93206 | + | 0.668691i | ||||
\(689\) | −7.38289 | − | 12.7875i | −0.281266 | − | 0.487166i | ||||
\(690\) | 0.000325023 | − | 0.594318i | 1.23734e−5 | − | 0.0226253i | ||||
\(691\) | 19.5292 | + | 11.2752i | 0.742925 | + | 0.428928i | 0.823132 | − | 0.567850i | \(-0.192225\pi\) |
−0.0802068 | + | 0.996778i | \(0.525558\pi\) | |||||||
\(692\) | 11.5912 | + | 10.0438i | 0.440630 | + | 0.381808i | ||||
\(693\) | 10.2373 | − | 6.91451i | 0.388881 | − | 0.262661i | ||||
\(694\) | 1.89015 | + | 13.1463i | 0.0717493 | + | 0.499027i | ||||
\(695\) | 0.0429998 | − | 0.450314i | 0.00163107 | − | 0.0170814i | ||||
\(696\) | −2.64564 | − | 6.60848i | −0.100283 | − | 0.250494i | ||||
\(697\) | −22.8601 | + | 23.9750i | −0.865888 | + | 0.908117i | ||||
\(698\) | −7.09762 | − | 13.7675i | −0.268649 | − | 0.521106i | ||||
\(699\) | −3.42783 | − | 1.56544i | −0.129652 | − | 0.0592103i | ||||
\(700\) | 9.88015 | + | 9.89906i | 0.373435 | + | 0.374149i | ||||
\(701\) | −27.1397 | + | 23.5167i | −1.02505 | + | 0.888214i | −0.993787 | − | 0.111297i | \(-0.964499\pi\) |
−0.0312664 | + | 0.999511i | \(0.509954\pi\) | |||||||
\(702\) | 2.14255 | − | 0.412943i | 0.0808655 | − | 0.0155855i | ||||
\(703\) | −13.2100 | + | 3.20472i | −0.498226 | + | 0.120868i | ||||
\(704\) | 0.209509 | + | 2.19407i | 0.00789616 | + | 0.0826923i | ||||
\(705\) | 0.107475 | − | 0.0554070i | 0.00404772 | − | 0.00208675i | ||||
\(706\) | 17.1720 | + | 58.4825i | 0.646277 | + | 2.20102i | ||||
\(707\) | −24.9412 | + | 10.6523i | −0.938012 | + | 0.400619i | ||||
\(708\) | −3.09178 | − | 6.77006i | −0.116196 | − | 0.254434i | ||||
\(709\) | −7.04033 | + | 17.5859i | −0.264405 | + | 0.660452i | −0.999853 | − | 0.0171287i | \(-0.994547\pi\) |
0.735448 | + | 0.677581i | \(0.236972\pi\) | |||||||
\(710\) | −0.596823 | − | 0.307684i | −0.0223984 | − | 0.0115472i | ||||
\(711\) | 0.488608 | − | 2.53514i | 0.0183242 | − | 0.0950751i | ||||
\(712\) | 2.99303 | − | 5.18409i | 0.112169 | − | 0.194282i | ||||
\(713\) | 0.871832 | + | 4.53684i | 0.0326504 | + | 0.169906i | ||||
\(714\) | 7.83778 | + | 12.8864i | 0.293322 | + | 0.482261i | ||||
\(715\) | −0.270346 | + | 0.311996i | −0.0101104 | + | 0.0116680i | ||||
\(716\) | −0.753239 | − | 15.8124i | −0.0281499 | − | 0.590938i | ||||
\(717\) | 9.32342 | + | 11.8557i | 0.348189 | + | 0.442759i | ||||
\(718\) | −30.5798 | − | 21.7757i | −1.14123 | − | 0.812664i | ||||
\(719\) | 1.02572 | − | 1.30431i | 0.0382530 | − | 0.0486427i | −0.766550 | − | 0.642184i | \(-0.778028\pi\) |
0.804803 | + | 0.593542i | \(0.202271\pi\) | |||||||
\(720\) | −0.339728 | + | 0.0997531i | −0.0126609 | + | 0.00371758i | ||||
\(721\) | 18.8256 | + | 34.5551i | 0.701103 | + | 1.28690i | ||||
\(722\) | 2.12666 | − | 4.65673i | 0.0791460 | − | 0.173305i | ||||
\(723\) | −10.7067 | − | 11.2289i | −0.398187 | − | 0.417607i | ||||
\(724\) | −2.76215 | + | 7.98070i | −0.102654 | + | 0.296600i | ||||
\(725\) | 7.06160 | − | 20.4031i | 0.262261 | − | 0.757754i | ||||
\(726\) | −13.0356 | − | 13.6714i | −0.483797 | − | 0.507392i | ||||
\(727\) | −14.1632 | + | 31.0130i | −0.525282 | + | 1.15021i | 0.442118 | + | 0.896957i | \(0.354227\pi\) |
−0.967401 | + | 0.253251i | \(0.918500\pi\) | |||||||
\(728\) | 4.63932 | + | 2.83390i | 0.171945 | + | 0.105031i | ||||
\(729\) | 0.959493 | − | 0.281733i | 0.0355368 | − | 0.0104345i | ||||
\(730\) | −0.735128 | + | 0.934792i | −0.0272083 | + | 0.0345982i | ||||
\(731\) | −28.4990 | − | 20.2941i | −1.05407 | − | 0.750603i | ||||
\(732\) | 9.28469 | + | 11.8064i | 0.343172 | + | 0.436379i | ||||
\(733\) | −0.140653 | − | 2.95266i | −0.00519512 | − | 0.109059i | −0.999975 | − | 0.00701857i | \(-0.997766\pi\) |
0.994780 | − | 0.102040i | \(-0.0325371\pi\) | |||||||
\(734\) | −36.7635 | + | 42.4273i | −1.35696 | + | 1.56602i | ||||
\(735\) | 0.0226548 | + | 0.495518i | 0.000835634 | + | 0.0182774i | ||||
\(736\) | 8.52638 | + | 24.6790i | 0.314286 | + | 0.909680i | ||||
\(737\) | 20.5758 | − | 35.6384i | 0.757920 | − | 1.31276i | ||||
\(738\) | 3.36331 | − | 17.4505i | 0.123805 | − | 0.642362i | ||||
\(739\) | −9.70815 | − | 5.00490i | −0.357120 | − | 0.184108i | 0.270325 | − | 0.962769i | \(-0.412869\pi\) |
−0.627445 | + | 0.778661i | \(0.715899\pi\) | |||||||
\(740\) | 0.0945047 | − | 0.236061i | 0.00347406 | − | 0.00867779i | ||||
\(741\) | −2.07796 | − | 4.55010i | −0.0763357 | − | 0.167152i | ||||
\(742\) | −6.55261 | + | 54.3629i | −0.240554 | + | 1.99573i | ||||
\(743\) | 10.0579 | + | 34.2542i | 0.368990 | + | 1.25666i | 0.909633 | + | 0.415412i | \(0.136363\pi\) |
−0.540644 | + | 0.841252i | \(0.681819\pi\) | |||||||
\(744\) | 1.41005 | − | 0.726933i | 0.0516951 | − | 0.0266507i | ||||
\(745\) | −0.0503207 | − | 0.526983i | −0.00184361 | − | 0.0193071i | ||||
\(746\) | 59.2966 | − | 14.3852i | 2.17100 | − | 0.526680i | ||||
\(747\) | −14.4197 | + | 2.77917i | −0.527590 | + | 0.101685i | ||||
\(748\) | 12.1738 | − | 10.5487i | 0.445118 | − | 0.385697i | ||||
\(749\) | 8.82065 | − | 8.80380i | 0.322300 | − | 0.321684i | ||||
\(750\) | −1.12669 | − | 0.514540i | −0.0411407 | − | 0.0187883i | ||||
\(751\) | 9.77387 | + | 18.9587i | 0.356654 | + | 0.691812i | 0.997093 | − | 0.0761973i | \(-0.0242779\pi\) |
−0.640439 | + | 0.768009i | \(0.721248\pi\) | |||||||
\(752\) | −5.88360 | + | 6.17054i | −0.214553 | + | 0.225016i | ||||
\(753\) | 1.70786 | + | 4.26603i | 0.0622379 | + | 0.155463i | ||||
\(754\) | −0.896525 | + | 9.38884i | −0.0326495 | + | 0.341921i | ||||
\(755\) | −0.119128 | − | 0.828553i | −0.00433551 | − | 0.0301541i | ||||
\(756\) | −2.51741 | − | 1.22586i | −0.0915574 | − | 0.0445841i | ||||
\(757\) | −34.0049 | − | 29.4654i | −1.23593 | − | 1.07094i | −0.994946 | − | 0.100410i | \(-0.967984\pi\) |
−0.240984 | − | 0.970529i | \(-0.577470\pi\) | |||||||
\(758\) | 41.1460 | + | 23.7557i | 1.49449 | + | 0.862845i | ||||
\(759\) | 18.8314 | + | 12.1168i | 0.683538 | + | 0.439811i | ||||
\(760\) | 0.233926 | + | 0.405172i | 0.00848539 | + | 0.0146971i | ||||
\(761\) | 46.6748 | − | 16.1543i | 1.69196 | − | 0.585593i | 0.700227 | − | 0.713920i | \(-0.253082\pi\) |
0.991732 | + | 0.128327i | \(0.0409608\pi\) | |||||||
\(762\) | 13.3990 | + | 20.8493i | 0.485396 | + | 0.755291i | ||||
\(763\) | 3.51377 | − | 2.89557i | 0.127207 | − | 0.104827i | ||||
\(764\) | 7.40930 | − | 3.38372i | 0.268059 | − | 0.122419i | ||||
\(765\) | −0.181576 | − | 0.142793i | −0.00656489 | − | 0.00516269i | ||||
\(766\) | 1.50525 | + | 1.43525i | 0.0543869 | + | 0.0518578i | ||||
\(767\) | 0.417511 | − | 8.76464i | 0.0150755 | − | 0.316473i | ||||
\(768\) | 15.9184 | − | 11.3354i | 0.574404 | − | 0.409031i | ||||
\(769\) | −38.7781 | − | 11.3863i | −1.39838 | − | 0.410600i | −0.506250 | − | 0.862387i | \(-0.668969\pi\) |
−0.892126 | + | 0.451787i | \(0.850787\pi\) | |||||||
\(770\) | 1.49623 | − | 0.323988i | 0.0539205 | − | 0.0116757i | ||||
\(771\) | 3.59587 | + | 4.14986i | 0.129502 | + | 0.149453i | ||||
\(772\) | 9.68266 | − | 9.23240i | 0.348487 | − | 0.332281i | ||||
\(773\) | −25.4283 | + | 2.42811i | −0.914594 | + | 0.0873331i | −0.541729 | − | 0.840553i | \(-0.682230\pi\) |
−0.372864 | + | 0.927886i | \(0.621624\pi\) | |||||||
\(774\) | 18.7480 | + | 0.893078i | 0.673883 | + | 0.0321010i | ||||
\(775\) | 4.67606 | + | 1.13440i | 0.167969 | + | 0.0407488i | ||||
\(776\) | −0.625604 | + | 4.35117i | −0.0224579 | + | 0.156198i | ||||
\(777\) | −8.07281 | + | 3.91199i | −0.289610 | + | 0.140342i | ||||
\(778\) | −48.9832 | + | 7.04272i | −1.75613 | + | 0.252494i | ||||
\(779\) | −40.6948 | + | 1.93853i | −1.45804 | + | 0.0694552i | ||||
\(780\) | 0.0918792 | + | 0.0177083i | 0.00328980 | + | 0.000634058i | ||||
\(781\) | 21.9101 | − | 12.6498i | 0.784006 | − | 0.452646i | ||||
\(782\) | −15.8708 | + | 22.2617i | −0.567540 | + | 0.796077i | ||||
\(783\) | 4.32246i | 0.154472i | ||||||||
\(784\) | −12.9372 | − | 32.4956i | −0.462044 | − | 1.16056i | ||||
\(785\) | −0.183149 | + | 0.117703i | −0.00653688 | + | 0.00420100i | ||||
\(786\) | 29.6853 | + | 11.8842i | 1.05884 | + | 0.423895i | ||||
\(787\) | 6.93131 | − | 9.73367i | 0.247075 | − | 0.346968i | −0.672350 | − | 0.740233i | \(-0.734715\pi\) |
0.919425 | + | 0.393265i | \(0.128655\pi\) | |||||||
\(788\) | −6.51887 | + | 2.60976i | −0.232225 | + | 0.0929690i | ||||
\(789\) | −0.691915 | + | 2.85211i | −0.0246328 | + | 0.101538i | ||||
\(790\) | 0.172976 | − | 0.269156i | 0.00615421 | − | 0.00957613i | ||||
\(791\) | −18.4475 | + | 42.9655i | −0.655919 | + | 1.52768i | ||||
\(792\) | 2.16637 | − | 7.37797i | 0.0769785 | − | 0.262165i | ||||
\(793\) | 3.35124 | + | 17.3879i | 0.119006 | + | 0.617462i | ||||
\(794\) | −29.6346 | − | 10.2566i | −1.05169 | − | 0.363994i | ||||
\(795\) | −0.197710 | − | 0.814971i | −0.00701204 | − | 0.0289040i | ||||
\(796\) | 4.15931 | + | 5.84093i | 0.147423 | + | 0.207026i | ||||
\(797\) | −12.4743 | − | 8.01677i | −0.441864 | − | 0.283968i | 0.300732 | − | 0.953709i | \(-0.402769\pi\) |
−0.742595 | + | 0.669740i | \(0.766405\pi\) | |||||||
\(798\) | −3.96032 | + | 18.1219i | −0.140194 | + | 0.641507i | ||||
\(799\) | −5.50577 | − | 0.791610i | −0.194780 | − | 0.0280051i | ||||
\(800\) | 27.0715 | + | 2.58501i | 0.957122 | + | 0.0913940i | ||||
\(801\) | −2.85722 | + | 2.24694i | −0.100955 | + | 0.0793918i | ||||
\(802\) | −11.1218 | + | 21.5733i | −0.392724 | + | 0.761779i | ||||
\(803\) | −14.6552 | − | 42.3434i | −0.517170 | − | 1.49426i | ||||
\(804\) | −9.32725 | −0.328947 | ||||||||
\(805\) | −0.809356 | + | 0.391658i | −0.0285261 | + | 0.0138041i | ||||
\(806\) | −2.10192 | −0.0740369 | ||||||||
\(807\) | −8.30535 | − | 23.9967i | −0.292362 | − | 0.844725i | ||||
\(808\) | −7.73540 | + | 15.0046i | −0.272131 | + | 0.527860i | ||||
\(809\) | −36.7091 | + | 28.8683i | −1.29062 | + | 1.01496i | −0.292343 | + | 0.956314i | \(0.594435\pi\) |
−0.998279 | + | 0.0586428i | \(0.981323\pi\) | |||||||
\(810\) | 0.123363 | + | 0.0117797i | 0.00433453 | + | 0.000413897i | ||||
\(811\) | 25.4180 | + | 3.65455i | 0.892546 | + | 0.128329i | 0.573302 | − | 0.819344i | \(-0.305662\pi\) |
0.319244 | + | 0.947673i | \(0.396571\pi\) | |||||||
\(812\) | 8.14975 | − | 8.94782i | 0.286000 | − | 0.314007i | ||||
\(813\) | 7.29160 | + | 4.68603i | 0.255728 | + | 0.164346i | ||||
\(814\) | 16.0596 | + | 22.5526i | 0.562889 | + | 0.790467i | ||||
\(815\) | 0.279649 | + | 1.15273i | 0.00979566 | + | 0.0403783i | ||||
\(816\) | 15.3921 | + | 5.32726i | 0.538832 | + | 0.186492i | ||||
\(817\) | −8.14309 | − | 42.2504i | −0.284891 | − | 1.47815i | ||||
\(818\) | 1.57434 | − | 5.36172i | 0.0550456 | − | 0.187468i | ||||
\(819\) | −1.97575 | − | 2.64457i | −0.0690384 | − | 0.0924086i | ||||
\(820\) | 0.412024 | − | 0.641122i | 0.0143885 | − | 0.0223889i | ||||
\(821\) | 0.923734 | − | 3.80768i | 0.0322385 | − | 0.132889i | −0.953418 | − | 0.301652i | \(-0.902462\pi\) |
0.985657 | + | 0.168763i | \(0.0539772\pi\) | |||||||
\(822\) | −10.7231 | + | 4.29287i | −0.374010 | + | 0.149731i | ||||
\(823\) | 8.08062 | − | 11.3476i | 0.281673 | − | 0.395554i | −0.649365 | − | 0.760477i | \(-0.724965\pi\) |
0.931038 | + | 0.364923i | \(0.118905\pi\) | |||||||
\(824\) | 22.7390 | + | 9.10330i | 0.792149 | + | 0.317129i | ||||
\(825\) | 19.6203 | − | 12.6092i | 0.683091 | − | 0.438996i | ||||
\(826\) | −20.7413 | + | 25.0717i | −0.721681 | + | 0.872355i | ||||
\(827\) | − | 33.5256i | − | 1.16580i | −0.812544 | − | 0.582899i | \(-0.801918\pi\) | ||
0.812544 | − | 0.582899i | \(-0.198082\pi\) | |||||||
\(828\) | 0.244273 | − | 5.06958i | 0.00848906 | − | 0.176180i | ||||
\(829\) | −23.6899 | + | 13.6774i | −0.822784 | + | 0.475035i | −0.851376 | − | 0.524557i | \(-0.824231\pi\) |
0.0285916 | + | 0.999591i | \(0.490898\pi\) | |||||||
\(830\) | −1.78695 | − | 0.344406i | −0.0620259 | − | 0.0119545i | ||||
\(831\) | 18.5418 | − | 0.883253i | 0.643206 | − | 0.0306397i | ||||
\(832\) | 0.582968 | − | 0.0838182i | 0.0202108 | − | 0.00290587i | ||||
\(833\) | 12.3734 | − | 19.1726i | 0.428712 | − | 0.664292i | ||||
\(834\) | 1.58878 | − | 11.0502i | 0.0550148 | − | 0.382636i | ||||
\(835\) | 0.896032 | + | 0.217375i | 0.0310085 | + | 0.00752257i | ||||
\(836\) | 19.7883 | + | 0.942633i | 0.684392 | + | 0.0326016i | ||||
\(837\) | −0.958944 | + | 0.0915680i | −0.0331459 | + | 0.00316505i | ||||
\(838\) | −25.8877 | + | 24.6838i | −0.894275 | + | 0.852689i | ||||
\(839\) | −5.85035 | − | 6.75166i | −0.201977 | − | 0.233093i | 0.645721 | − | 0.763574i | \(-0.276557\pi\) |
−0.847697 | + | 0.530480i | \(0.822012\pi\) | |||||||
\(840\) | 0.207469 | + | 0.228662i | 0.00715834 | + | 0.00788959i | ||||
\(841\) | 9.89843 | + | 2.90644i | 0.341325 | + | 0.100222i | ||||
\(842\) | 48.1241 | − | 34.2690i | 1.65847 | − | 1.18099i | ||||
\(843\) | 0.516287 | − | 10.8382i | 0.0177819 | − | 0.373287i | ||||
\(844\) | 11.0744 | + | 10.5594i | 0.381196 | + | 0.363470i | ||||
\(845\) | −0.637405 | − | 0.501261i | −0.0219274 | − | 0.0172439i | ||||
\(846\) | 2.71441 | − | 1.23963i | 0.0933234 | − | 0.0426194i | ||||
\(847\) | −10.0128 | + | 26.7672i | −0.344044 | + | 0.919731i | ||||
\(848\) | 31.9690 | + | 49.7447i | 1.09782 | + | 1.70824i | ||||
\(849\) | 22.7590 | − | 7.87697i | 0.781088 | − | 0.270337i | ||||
\(850\) | 14.2376 | + | 24.6602i | 0.488345 | + | 0.845838i | ||||
\(851\) | −12.2833 | − | 10.6553i | −0.421066 | − | 0.365259i | ||||
\(852\) | −4.96605 | − | 2.86715i | −0.170134 | − | 0.0982270i | ||||
\(853\) | −42.7847 | − | 37.0732i | −1.46492 | − | 1.26936i | −0.893777 | − | 0.448511i | \(-0.851955\pi\) |
−0.571144 | − | 0.820850i | \(-0.693500\pi\) | |||||||
\(854\) | 28.7492 | − | 59.0390i | 0.983776 | − | 2.02027i | ||||
\(855\) | −0.0404304 | − | 0.281200i | −0.00138269 | − | 0.00961683i | ||||
\(856\) | 0.737363 | − | 7.72202i | 0.0252026 | − | 0.263933i | ||||
\(857\) | −4.23853 | − | 10.5873i | −0.144785 | − | 0.361656i | 0.838194 | − | 0.545372i | \(-0.183612\pi\) |
−0.982979 | + | 0.183716i | \(0.941187\pi\) | |||||||
\(858\) | −7.03065 | + | 7.37354i | −0.240023 | + | 0.251728i | ||||
\(859\) | 7.31584 | + | 14.1908i | 0.249613 | + | 0.484182i | 0.980038 | − | 0.198811i | \(-0.0637081\pi\) |
−0.730425 | + | 0.682993i | \(0.760678\pi\) | |||||||
\(860\) | 0.732148 | + | 0.334361i | 0.0249660 | + | 0.0114016i | ||||
\(861\) | −25.9771 | + | 6.93394i | −0.885299 | + | 0.236308i | ||||
\(862\) | −11.5208 | + | 9.98283i | −0.392400 | + | 0.340017i | ||||
\(863\) | 32.7458 | − | 6.31123i | 1.11468 | − | 0.214837i | 0.401527 | − | 0.915847i | \(-0.368479\pi\) |
0.713151 | + | 0.701010i | \(0.247267\pi\) | |||||||
\(864\) | −5.29092 | + | 1.28356i | −0.180001 | + | 0.0436677i | ||||
\(865\) | 0.0976185 | + | 1.02231i | 0.00331913 | + | 0.0347595i | ||||
\(866\) | −9.16657 | + | 4.72570i | −0.311493 | + | 0.160586i | ||||
\(867\) | −1.79567 | − | 6.11549i | −0.0609842 | − | 0.207693i | ||||
\(868\) | 2.15773 | + | 1.61848i | 0.0732382 | + | 0.0549347i | ||||
\(869\) | 5.00782 | + | 10.9656i | 0.169879 | + | 0.371983i | ||||
\(870\) | −0.199083 | + | 0.497286i | −0.00674956 | + | 0.0168596i | ||||
\(871\) | −9.77405 | − | 5.03887i | −0.331181 | − | 0.170736i | ||||
\(872\) | 0.536350 | − | 2.78285i | 0.0181631 | − | 0.0942392i | ||||
\(873\) | 1.33466 | − | 2.31169i | 0.0451712 | − | 0.0782389i | ||||
\(874\) | −33.0198 | + | 6.34531i | −1.11691 | + | 0.214633i | ||||
\(875\) | 0.0428032 | + | 1.87341i | 0.00144701 | + | 0.0633327i | ||||
\(876\) | −6.65072 | + | 7.67533i | −0.224707 | + | 0.259326i | ||||
\(877\) | −0.171808 | − | 3.60670i | −0.00580155 | − | 0.121790i | −0.999910 | − | 0.0134014i | \(-0.995734\pi\) |
0.994109 | − | 0.108388i | \(-0.0345690\pi\) | |||||||
\(878\) | −25.2048 | − | 32.0504i | −0.850619 | − | 1.08165i | ||||
\(879\) | −11.8191 | − | 8.41638i | −0.398650 | − | 0.283877i | ||||
\(880\) | 1.02196 | − | 1.29953i | 0.0344503 | − | 0.0438071i | ||||
\(881\) | 8.70984 | − | 2.55744i | 0.293442 | − | 0.0861623i | −0.131698 | − | 0.991290i | \(-0.542043\pi\) |
0.425140 | + | 0.905128i | \(0.360225\pi\) | |||||||
\(882\) | −0.0234094 | + | 12.2416i | −0.000788235 | + | 0.412196i | ||||
\(883\) | 3.40809 | − | 7.46269i | 0.114692 | − | 0.251139i | −0.843577 | − | 0.537008i | \(-0.819555\pi\) |
0.958269 | + | 0.285868i | \(0.0922819\pi\) | |||||||
\(884\) | −2.97039 | − | 3.11525i | −0.0999049 | − | 0.104777i | ||||
\(885\) | 0.162993 | − | 0.470936i | 0.00547893 | − | 0.0158303i | ||||
\(886\) | 16.1742 | − | 46.7323i | 0.543383 | − | 1.57000i | ||||
\(887\) | −17.6785 | − | 18.5406i | −0.593585 | − | 0.622534i | 0.356587 | − | 0.934262i | \(-0.383941\pi\) |
−0.950171 | + | 0.311729i | \(0.899092\pi\) | |||||||
\(888\) | −2.31959 | + | 5.07919i | −0.0778403 | + | 0.170446i | ||||
\(889\) | 19.5455 | − | 31.9976i | 0.655537 | − | 1.07317i | ||||
\(890\) | −0.432204 | + | 0.126907i | −0.0144875 | + | 0.00425392i | ||||
\(891\) | −2.88633 | + | 3.67026i | −0.0966956 | + | 0.122958i | ||||
\(892\) | 16.7876 | + | 11.9544i | 0.562089 | + | 0.400262i | ||||
\(893\) | −4.22876 | − | 5.37731i | −0.141510 | − | 0.179945i | ||||
\(894\) | −0.621635 | − | 13.0497i | −0.0207906 | − | 0.436448i | ||||
\(895\) | 0.694133 | − | 0.801073i | 0.0232023 | − | 0.0267769i | ||||
\(896\) | −27.1878 | − | 14.8794i | −0.908280 | − | 0.497086i | ||||
\(897\) | 2.99472 | − | 5.18046i | 0.0999908 | − | 0.172971i | ||||
\(898\) | 23.2293 | − | 40.2344i | 0.775172 | − | 1.34264i | ||||
\(899\) | 0.788014 | − | 4.08861i | 0.0262818 | − | 0.136363i | ||||
\(900\) | −4.69858 | − | 2.42229i | −0.156619 | − | 0.0807429i | ||||
\(901\) | −14.3379 | + | 35.8143i | −0.477665 | + | 1.19315i | ||||
\(902\) | 34.4711 | + | 75.4812i | 1.14776 | + | 2.51325i | ||||
\(903\) | −11.1531 | − | 26.1139i | −0.371152 | − | 0.869017i | ||||
\(904\) | 8.19969 | + | 27.9256i | 0.272718 | + | 0.928791i | ||||
\(905\) | −0.502613 | + | 0.259115i | −0.0167074 | + | 0.00861327i | ||||
\(906\) | −1.96367 | − | 20.5645i | −0.0652387 | − | 0.683210i | ||||
\(907\) | 27.3205 | − | 6.62789i | 0.907163 | − | 0.220075i | 0.245077 | − | 0.969504i | \(-0.421187\pi\) |
0.662086 | + | 0.749428i | \(0.269671\pi\) | |||||||
\(908\) | −22.4286 | + | 4.32275i | −0.744318 | + | 0.143456i | ||||
\(909\) | 7.74695 | − | 6.71277i | 0.256950 | − | 0.222649i | ||||
\(910\) | −0.105502 | − | 0.395248i | −0.00349734 | − | 0.0131024i | ||||
\(911\) | −13.5948 | − | 6.20856i | −0.450417 | − | 0.205699i | 0.177273 | − | 0.984162i | \(-0.443272\pi\) |
−0.627691 | + | 0.778463i | \(0.716000\pi\) | |||||||
\(912\) | 9.17907 | + | 17.8049i | 0.303949 | + | 0.589579i | ||||
\(913\) | 47.3174 | − | 49.6251i | 1.56598 | − | 1.64235i | ||||
\(914\) | −7.28914 | − | 18.2074i | −0.241103 | − | 0.602247i | ||||
\(915\) | −0.0955983 | + | 1.00115i | −0.00316038 | + | 0.0330970i | ||||
\(916\) | 0.310530 | + | 2.15979i | 0.0102602 | + | 0.0713613i | ||||
\(917\) | −3.40496 | − | 48.2560i | −0.112442 | − | 1.59355i | ||||
\(918\) | −4.30834 | − | 3.73320i | −0.142196 | − | 0.123214i | ||||
\(919\) | 48.5294 | + | 28.0184i | 1.60084 | + | 0.924243i | 0.991320 | + | 0.131470i | \(0.0419696\pi\) |
0.609516 | + | 0.792774i | \(0.291364\pi\) | |||||||
\(920\) | −0.232772 | + | 0.508962i | −0.00767426 | + | 0.0167800i | ||||
\(921\) | −13.4640 | − | 23.3203i | −0.443653 | − | 0.768429i | ||||
\(922\) | 34.9406 | − | 12.0931i | 1.15071 | − | 0.398264i | ||||
\(923\) | −3.65501 | − | 5.68731i | −0.120306 | − | 0.187200i | ||||
\(924\) | 12.8950 | − | 2.15572i | 0.424213 | − | 0.0709180i | ||||
\(925\) | −15.4056 | + | 7.03549i | −0.506532 | + | 0.231325i | ||||
\(926\) | −14.5148 | − | 11.4146i | −0.476987 | − | 0.375107i | ||||
\(927\) | −10.7641 | − | 10.2636i | −0.353541 | − | 0.337100i | ||||
\(928\) | 1.11975 | − | 23.5065i | 0.0367577 | − | 0.771640i | ||||
\(929\) | 31.9809 | − | 22.7735i | 1.04926 | − | 0.747173i | 0.0808960 | − | 0.996723i | \(-0.474222\pi\) |
0.968362 | + | 0.249549i | \(0.0802824\pi\) | |||||||
\(930\) | −0.114541 | − | 0.0336323i | −0.00375595 | − | 0.00110285i | ||||
\(931\) | 27.2850 | − | 6.56406i | 0.894231 | − | 0.215128i | ||||
\(932\) | −2.61164 | − | 3.01400i | −0.0855472 | − | 0.0987268i | ||||
\(933\) | −0.212404 | + | 0.202527i | −0.00695380 | + | 0.00663044i | ||||
\(934\) | 48.1231 | − | 4.59520i | 1.57464 | − | 0.150360i | ||||
\(935\) | 1.07736 | + | 0.0513208i | 0.0352333 | + | 0.00167837i | ||||
\(936\) | −1.99684 | − | 0.484428i | −0.0652687 | − | 0.0158340i | ||||
\(937\) | 4.16903 | − | 28.9963i | 0.136196 | − | 0.947267i | −0.801050 | − | 0.598598i | \(-0.795725\pi\) |
0.937246 | − | 0.348669i | \(-0.113366\pi\) | |||||||
\(938\) | 17.7829 | + | 36.6968i | 0.580631 | + | 1.19819i | ||||
\(939\) | −31.0170 | + | 4.45958i | −1.01220 | + | 0.145533i | ||||
\(940\) | 0.127821 | − | 0.00608888i | 0.00416907 | − | 0.000198597i | ||||
\(941\) | −34.1765 | − | 6.58698i | −1.11412 | − | 0.214729i | −0.401212 | − | 0.915985i | \(-0.631411\pi\) |
−0.712910 | + | 0.701256i | \(0.752623\pi\) | |||||||
\(942\) | −4.65302 | + | 2.68642i | −0.151604 | + | 0.0875284i | ||||
\(943\) | −30.1057 | − | 38.3257i | −0.980378 | − | 1.24806i | ||||
\(944\) | 35.1390i | 1.14368i | ||||||||
\(945\) | −0.0653509 | − | 0.175725i | −0.00212586 | − | 0.00571635i | ||||
\(946\) | −73.7258 | + | 47.3807i | −2.39703 | + | 1.54048i | ||||
\(947\) | 18.0142 | + | 7.21178i | 0.585382 | + | 0.234352i | 0.645399 | − | 0.763846i | \(-0.276691\pi\) |
−0.0600170 | + | 0.998197i | \(0.519115\pi\) | |||||||
\(948\) | 1.58491 | − | 2.22569i | 0.0514754 | − | 0.0722871i | ||||
\(949\) | −11.1158 | + | 4.45008i | −0.360833 | + | 0.144456i | ||||
\(950\) | −8.25631 | + | 34.0330i | −0.267870 | + | 1.10418i | ||||
\(951\) | 6.08432 | − | 9.46738i | 0.197298 | − | 0.307001i | ||||
\(952\) | −1.67272 | − | 14.1045i | −0.0542133 | − | 0.457130i | ||||
\(953\) | −12.0822 | + | 41.1483i | −0.391382 | + | 1.33293i | 0.494565 | + | 0.869140i | \(0.335327\pi\) |
−0.885948 | + | 0.463785i | \(0.846491\pi\) | |||||||
\(954\) | −3.91674 | − | 20.3220i | −0.126809 | − | 0.657948i | ||||
\(955\) | 0.515403 | + | 0.178383i | 0.0166780 | + | 0.00577233i | ||||
\(956\) | 3.76318 | + | 15.5120i | 0.121710 | + | 0.501695i | ||||
\(957\) | −11.7070 | − | 16.4402i | −0.378435 | − | 0.531437i | ||||
\(958\) | 27.5925 | + | 17.7326i | 0.891472 | + | 0.572914i | ||||
\(959\) | 12.9191 | + | 11.7668i | 0.417180 | + | 0.379971i | ||||
\(960\) | 0.0331092 | + | 0.00476038i | 0.00106859 | + | 0.000153641i | ||||
\(961\) | −29.9359 | − | 2.85853i | −0.965673 | − | 0.0922106i | ||||
\(962\) | 5.81543 | − | 4.57331i | 0.187497 | − | 0.147449i | ||||
\(963\) | −2.15840 | + | 4.18671i | −0.0695535 | + | 0.134915i | ||||
\(964\) | −5.37041 | − | 15.5168i | −0.172969 | − | 0.499762i | ||||
\(965\) | 0.895816 | 0.0288373 | ||||||||
\(966\) | −20.4113 | + | 8.70435i | −0.656723 | + | 0.280058i | ||||
\(967\) | 53.3731 | 1.71636 | 0.858182 | − | 0.513346i | \(-0.171594\pi\) | ||||
0.858182 | + | 0.513346i | \(0.171594\pi\) | |||||||
\(968\) | 5.81809 | + | 16.8103i | 0.187000 | + | 0.540302i | ||||
\(969\) | −5.98847 | + | 11.6160i | −0.192377 | + | 0.373160i | ||||
\(970\) | 0.260020 | − | 0.204482i | 0.00834873 | − | 0.00656551i | ||||
\(971\) | 37.6661 | + | 3.59668i | 1.20876 | + | 0.115423i | 0.679913 | − | 0.733293i | \(-0.262017\pi\) |
0.528850 | + | 0.848715i | \(0.322623\pi\) | |||||||
\(972\) | 1.04753 | + | 0.150613i | 0.0335997 | + | 0.00483091i | ||||
\(973\) | −16.0926 | + | 5.12729i | −0.515905 | + | 0.164373i | ||||
\(974\) | −10.9199 | − | 7.01778i | −0.349896 | − | 0.224864i | ||||
\(975\) | −3.61506 | − | 5.07664i | −0.115775 | − | 0.162583i | ||||
\(976\) | −16.7185 | − | 68.9148i | −0.535147 | − | 2.20591i | ||||
\(977\) | 26.6427 | + | 9.22113i | 0.852376 | + | 0.295010i | 0.718105 | − | 0.695934i | \(-0.245010\pi\) |
0.134271 | + | 0.990945i | \(0.457131\pi\) | |||||||
\(978\) | 5.53999 | + | 28.7442i | 0.177149 | + | 0.919139i | ||||
\(979\) | 4.78161 | − | 16.2847i | 0.152821 | − | 0.520460i | ||||
\(980\) | −0.196039 | + | 0.486980i | −0.00626222 | + | 0.0155560i | ||||
\(981\) | −0.930398 | + | 1.44773i | −0.0297053 | + | 0.0462224i | ||||
\(982\) | 8.87586 | − | 36.5868i | 0.283240 | − | 1.16753i | ||||
\(983\) | −16.9272 | + | 6.77661i | −0.539892 | + | 0.216140i | −0.625550 | − | 0.780184i | \(-0.715125\pi\) |
0.0856572 | + | 0.996325i | \(0.472701\pi\) | |||||||
\(984\) | −9.70752 | + | 13.6323i | −0.309464 | + | 0.434582i | ||||
\(985\) | −0.436491 | − | 0.174745i | −0.0139078 | − | 0.00556783i | ||||
\(986\) | 20.7296 | − | 13.3221i | 0.660164 | − | 0.424262i | ||||
\(987\) | −3.47854 | − | 2.87772i | −0.110723 | − | 0.0915989i | ||||
\(988\) | − | 5.29379i | − | 0.168418i | ||||||
\(989\) | 35.5401 | − | 37.2326i | 1.13011 | − | 1.18393i | ||||
\(990\) | −0.501108 | + | 0.289315i | −0.0159262 | + | 0.00919502i | ||||
\(991\) | −23.1242 | − | 4.45683i | −0.734565 | − | 0.141576i | −0.191768 | − | 0.981440i | \(-0.561422\pi\) |
−0.542796 | + | 0.839864i | \(0.682634\pi\) | |||||||
\(992\) | 5.23867 | − | 0.249549i | 0.166328 | − | 0.00792318i | ||||
\(993\) | −2.06284 | + | 0.296592i | −0.0654623 | + | 0.00941206i | ||||
\(994\) | −1.81240 | + | 25.0046i | −0.0574858 | + | 0.793099i | ||||
\(995\) | −0.0683288 | + | 0.475237i | −0.00216617 | + | 0.0150660i | ||||
\(996\) | −15.1033 | − | 3.66401i | −0.478565 | − | 0.116099i | ||||
\(997\) | −26.6285 | − | 1.26847i | −0.843333 | − | 0.0401729i | −0.378532 | − | 0.925588i | \(-0.623571\pi\) |
−0.464801 | + | 0.885415i | \(0.653874\pi\) | |||||||
\(998\) | 21.7643 | − | 2.07824i | 0.688938 | − | 0.0657856i | ||||
\(999\) | 2.45390 | − | 2.33979i | 0.0776381 | − | 0.0740278i |
(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 | 483.2.bf.a.145.26 | yes | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.283.7 | yes | 640 | |
23.10 | odd | 22 | inner | 483.2.bf.a.355.7 | yes | 640 | |
161.10 | even | 66 | inner | 483.2.bf.a.10.26 | ✓ | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.10.26 | ✓ | 640 | 161.10 | even | 66 | inner | |
483.2.bf.a.145.26 | yes | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.283.7 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.355.7 | yes | 640 | 23.10 | odd | 22 | inner |