Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(37,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 21, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.z (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 277.2 | ||
Character | \(\chi\) | \(=\) | 392.277 |
Dual form | 392.2.z.a.317.2 |
$q$-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 \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41374 | + | 0.0365148i | −0.999667 | + | 0.0258199i | ||||
\(3\) | −0.428172 | + | 1.38810i | −0.247205 | + | 0.801419i | 0.743895 | + | 0.668297i | \(0.232976\pi\) |
−0.991100 | + | 0.133122i | \(0.957500\pi\) | |||||||
\(4\) | 1.99733 | − | 0.103245i | 0.998667 | − | 0.0516226i | ||||
\(5\) | 1.89578 | + | 2.04316i | 0.847817 | + | 0.913730i | 0.997180 | − | 0.0750528i | \(-0.0239125\pi\) |
−0.149362 | + | 0.988783i | \(0.547722\pi\) | |||||||
\(6\) | 0.554638 | − | 1.97805i | 0.226430 | − | 0.807534i | ||||
\(7\) | 2.04312 | + | 1.68097i | 0.772227 | + | 0.635346i | ||||
\(8\) | −2.81994 | + | 0.218894i | −0.997001 | + | 0.0773908i | ||||
\(9\) | 0.735231 | + | 0.501272i | 0.245077 | + | 0.167091i | ||||
\(10\) | −2.75475 | − | 2.81928i | −0.871127 | − | 0.891535i | ||||
\(11\) | 1.25708 | + | 1.84380i | 0.379024 | + | 0.555926i | 0.967591 | − | 0.252523i | \(-0.0812602\pi\) |
−0.588567 | + | 0.808448i | \(0.700308\pi\) | |||||||
\(12\) | −0.711887 | + | 2.81670i | −0.205504 | + | 0.813112i | ||||
\(13\) | 1.37674 | − | 2.85883i | 0.381839 | − | 0.792897i | −0.618138 | − | 0.786070i | \(-0.712113\pi\) |
0.999977 | − | 0.00682699i | \(-0.00217312\pi\) | |||||||
\(14\) | −2.94983 | − | 2.30185i | −0.788374 | − | 0.615196i | ||||
\(15\) | −3.64783 | + | 1.75670i | −0.941865 | + | 0.453578i | ||||
\(16\) | 3.97868 | − | 0.412430i | 0.994670 | − | 0.103107i | ||||
\(17\) | −1.80893 | − | 4.60907i | −0.438730 | − | 1.11786i | −0.963758 | − | 0.266780i | \(-0.914040\pi\) |
0.525028 | − | 0.851085i | \(-0.324055\pi\) | |||||||
\(18\) | −1.05773 | − | 0.681822i | −0.249310 | − | 0.160707i | ||||
\(19\) | 3.05266 | − | 1.76245i | 0.700328 | − | 0.404334i | −0.107142 | − | 0.994244i | \(-0.534170\pi\) |
0.807469 | + | 0.589909i | \(0.200837\pi\) | |||||||
\(20\) | 3.99745 | + | 3.88515i | 0.893856 | + | 0.868745i | ||||
\(21\) | −3.20816 | + | 2.11631i | −0.700077 | + | 0.461817i | ||||
\(22\) | −1.84451 | − | 2.56075i | −0.393251 | − | 0.545954i | ||||
\(23\) | −0.243450 | + | 0.620301i | −0.0507629 | + | 0.129342i | −0.954006 | − | 0.299787i | \(-0.903084\pi\) |
0.903243 | + | 0.429129i | \(0.141179\pi\) | |||||||
\(24\) | 0.903573 | − | 4.00808i | 0.184441 | − | 0.818147i | ||||
\(25\) | −0.206889 | + | 2.76074i | −0.0413778 | + | 0.552148i | ||||
\(26\) | −1.84197 | + | 4.09192i | −0.361239 | + | 0.802492i | ||||
\(27\) | −4.41777 | + | 3.52305i | −0.850199 | + | 0.678011i | ||||
\(28\) | 4.25435 | + | 3.14651i | 0.803996 | + | 0.594635i | ||||
\(29\) | −1.79670 | − | 1.43282i | −0.333639 | − | 0.266068i | 0.442312 | − | 0.896861i | \(-0.354158\pi\) |
−0.775951 | + | 0.630793i | \(0.782730\pi\) | |||||||
\(30\) | 5.09294 | − | 2.61672i | 0.929840 | − | 0.477746i | ||||
\(31\) | −2.45168 | + | 4.24643i | −0.440334 | + | 0.762682i | −0.997714 | − | 0.0675761i | \(-0.978473\pi\) |
0.557380 | + | 0.830258i | \(0.311807\pi\) | |||||||
\(32\) | −5.60977 | + | 0.728350i | −0.991676 | + | 0.128755i | ||||
\(33\) | −3.09762 | + | 0.955488i | −0.539226 | + | 0.166329i | ||||
\(34\) | 2.72566 | + | 6.44999i | 0.467446 | + | 1.10616i | ||||
\(35\) | 0.438812 | + | 7.36117i | 0.0741728 | + | 1.24426i | ||||
\(36\) | 1.52025 | + | 0.925298i | 0.253376 | + | 0.154216i | ||||
\(37\) | 1.04306 | − | 6.92023i | 0.171477 | − | 1.13768i | −0.723093 | − | 0.690751i | \(-0.757280\pi\) |
0.894570 | − | 0.446927i | \(-0.147482\pi\) | |||||||
\(38\) | −4.25131 | + | 2.60312i | −0.689654 | + | 0.422282i | ||||
\(39\) | 3.37886 | + | 3.13512i | 0.541050 | + | 0.502021i | ||||
\(40\) | −5.79322 | − | 5.34663i | −0.915989 | − | 0.845376i | ||||
\(41\) | 2.32176 | + | 10.1723i | 0.362598 | + | 1.58865i | 0.746574 | + | 0.665303i | \(0.231698\pi\) |
−0.383976 | + | 0.923343i | \(0.625445\pi\) | |||||||
\(42\) | 4.45823 | − | 3.10906i | 0.687920 | − | 0.479739i | ||||
\(43\) | −4.45981 | − | 1.01792i | −0.680115 | − | 0.155232i | −0.131512 | − | 0.991315i | \(-0.541983\pi\) |
−0.548603 | + | 0.836083i | \(0.684840\pi\) | |||||||
\(44\) | 2.70117 | + | 3.55289i | 0.407217 | + | 0.535618i | ||||
\(45\) | 0.369654 | + | 2.45250i | 0.0551048 | + | 0.365596i | ||||
\(46\) | 0.321526 | − | 0.885836i | 0.0474064 | − | 0.130609i | ||||
\(47\) | 0.0584488 | + | 0.779945i | 0.00852564 | + | 0.113767i | 0.999843 | − | 0.0177251i | \(-0.00564236\pi\) |
−0.991317 | + | 0.131492i | \(0.958023\pi\) | |||||||
\(48\) | −1.13106 | + | 5.69939i | −0.163255 | + | 0.822636i | ||||
\(49\) | 1.34869 | + | 6.86885i | 0.192670 | + | 0.981264i | ||||
\(50\) | 0.191680 | − | 3.91053i | 0.0271076 | − | 0.553032i | ||||
\(51\) | 7.17238 | − | 0.537496i | 1.00433 | − | 0.0752644i | ||||
\(52\) | 2.45465 | − | 5.85218i | 0.340399 | − | 0.811551i | ||||
\(53\) | −1.63915 | − | 10.8751i | −0.225155 | − | 1.49380i | −0.760592 | − | 0.649230i | \(-0.775091\pi\) |
0.535438 | − | 0.844575i | \(-0.320147\pi\) | |||||||
\(54\) | 6.11694 | − | 5.14200i | 0.832410 | − | 0.699737i | ||||
\(55\) | −1.38403 | + | 6.06384i | −0.186623 | + | 0.817649i | ||||
\(56\) | −6.12944 | − | 4.29301i | −0.819081 | − | 0.573678i | ||||
\(57\) | 1.13940 | + | 4.99202i | 0.150917 | + | 0.661209i | ||||
\(58\) | 2.59239 | + | 1.96003i | 0.340397 | + | 0.257365i | ||||
\(59\) | −8.20806 | + | 8.84619i | −1.06860 | + | 1.15168i | −0.0806744 | + | 0.996741i | \(0.525707\pi\) |
−0.987925 | + | 0.154935i | \(0.950483\pi\) | |||||||
\(60\) | −7.10456 | + | 3.88534i | −0.917194 | + | 0.501595i | ||||
\(61\) | 0.970946 | − | 6.44181i | 0.124317 | − | 0.824789i | −0.836572 | − | 0.547856i | \(-0.815444\pi\) |
0.960889 | − | 0.276932i | \(-0.0893178\pi\) | |||||||
\(62\) | 3.31098 | − | 6.09288i | 0.420495 | − | 0.773797i | ||||
\(63\) | 0.659544 | + | 2.26006i | 0.0830947 | + | 0.284741i | ||||
\(64\) | 7.90417 | − | 1.23454i | 0.988021 | − | 0.154317i | ||||
\(65\) | 8.45104 | − | 2.60680i | 1.04822 | − | 0.323334i | ||||
\(66\) | 4.34434 | − | 1.46392i | 0.534751 | − | 0.180196i | ||||
\(67\) | 4.99064 | + | 2.88135i | 0.609704 | + | 0.352013i | 0.772850 | − | 0.634589i | \(-0.218831\pi\) |
−0.163146 | + | 0.986602i | \(0.552164\pi\) | |||||||
\(68\) | −4.08890 | − | 9.01910i | −0.495852 | − | 1.09373i | ||||
\(69\) | −0.756801 | − | 0.603528i | −0.0911081 | − | 0.0726563i | ||||
\(70\) | −0.889159 | − | 10.3908i | −0.106275 | − | 1.24193i | ||||
\(71\) | −10.3511 | − | 12.9799i | −1.22845 | − | 1.54043i | −0.748496 | − | 0.663139i | \(-0.769224\pi\) |
−0.479956 | − | 0.877292i | \(-0.659348\pi\) | |||||||
\(72\) | −2.18304 | − | 1.25262i | −0.257273 | − | 0.147623i | ||||
\(73\) | 0.749744 | − | 10.0046i | 0.0877509 | − | 1.17095i | −0.763362 | − | 0.645971i | \(-0.776453\pi\) |
0.851113 | − | 0.524983i | \(-0.175928\pi\) | |||||||
\(74\) | −1.22192 | + | 9.82150i | −0.142045 | + | 1.14173i | ||||
\(75\) | −3.74359 | − | 1.46925i | −0.432273 | − | 0.169655i | ||||
\(76\) | 5.91521 | − | 3.83538i | 0.678521 | − | 0.439948i | ||||
\(77\) | −0.530999 | + | 5.88021i | −0.0605129 | + | 0.670112i | ||||
\(78\) | −4.89131 | − | 4.30887i | −0.553832 | − | 0.487884i | ||||
\(79\) | −4.74193 | − | 8.21326i | −0.533508 | − | 0.924064i | −0.999234 | − | 0.0391345i | \(-0.987540\pi\) |
0.465726 | − | 0.884929i | \(-0.345793\pi\) | |||||||
\(80\) | 8.38535 | + | 7.34721i | 0.937511 | + | 0.821443i | ||||
\(81\) | −2.02348 | − | 5.15574i | −0.224831 | − | 0.572860i | ||||
\(82\) | −3.65381 | − | 14.2962i | −0.403496 | − | 1.57875i | ||||
\(83\) | 2.11083 | + | 4.38318i | 0.231694 | + | 0.481117i | 0.984107 | − | 0.177574i | \(-0.0568249\pi\) |
−0.752414 | + | 0.658691i | \(0.771111\pi\) | |||||||
\(84\) | −6.18926 | + | 4.55820i | −0.675303 | + | 0.497341i | ||||
\(85\) | 5.98776 | − | 12.4337i | 0.649464 | − | 1.34863i | ||||
\(86\) | 6.34219 | + | 1.27623i | 0.683896 | + | 0.137620i | ||||
\(87\) | 2.75819 | − | 1.88050i | 0.295709 | − | 0.201611i | ||||
\(88\) | −3.94849 | − | 4.92424i | −0.420910 | − | 0.524925i | ||||
\(89\) | 8.79264 | + | 5.99472i | 0.932018 | + | 0.635439i | 0.931180 | − | 0.364560i | \(-0.118781\pi\) |
0.000838422 | 1.00000i | \(0.499733\pi\) | ||||||||
\(90\) | −0.612148 | − | 3.45370i | −0.0645261 | − | 0.364052i | ||||
\(91\) | 7.61845 | − | 3.52668i | 0.798631 | − | 0.369697i | ||||
\(92\) | −0.422208 | + | 1.26408i | −0.0440183 | + | 0.131790i | ||||
\(93\) | −4.84473 | − | 5.22137i | −0.502375 | − | 0.541431i | ||||
\(94\) | −0.111111 | − | 1.10051i | −0.0114602 | − | 0.113509i | ||||
\(95\) | 9.38813 | + | 2.89586i | 0.963202 | + | 0.297108i | ||||
\(96\) | 1.39092 | − | 8.09877i | 0.141960 | − | 0.826577i | ||||
\(97\) | −11.9549 | −1.21383 | −0.606916 | − | 0.794766i | \(-0.707594\pi\) | ||||
−0.606916 | + | 0.794766i | \(0.707594\pi\) | |||||||
\(98\) | −2.15751 | − | 9.66153i | −0.217942 | − | 0.975962i | ||||
\(99\) | 1.98575i | 0.199576i | ||||||||
\(100\) | −0.128193 | + | 5.53548i | −0.0128193 | + | 0.553548i | ||||
\(101\) | −1.79256 | + | 5.81134i | −0.178367 | + | 0.578250i | 0.821600 | + | 0.570065i | \(0.193082\pi\) |
−0.999966 | + | 0.00818575i | \(0.997394\pi\) | |||||||
\(102\) | −10.1203 | + | 1.02178i | −1.00206 | + | 0.101171i | ||||
\(103\) | 6.37207 | − | 5.91242i | 0.627859 | − | 0.582568i | −0.300716 | − | 0.953714i | \(-0.597226\pi\) |
0.928575 | + | 0.371146i | \(0.121035\pi\) | |||||||
\(104\) | −3.25655 | + | 8.36310i | −0.319331 | + | 0.820070i | ||||
\(105\) | −10.4059 | − | 2.54273i | −1.01551 | − | 0.248145i | ||||
\(106\) | 2.71444 | + | 15.3147i | 0.263650 | + | 1.48749i | ||||
\(107\) | 6.27498 | − | 9.20371i | 0.606625 | − | 0.889756i | −0.392930 | − | 0.919568i | \(-0.628539\pi\) |
0.999556 | + | 0.0298123i | \(0.00949095\pi\) | |||||||
\(108\) | −8.46001 | + | 7.49282i | −0.814065 | + | 0.720997i | ||||
\(109\) | −0.125779 | − | 0.184484i | −0.0120474 | − | 0.0176704i | 0.820168 | − | 0.572123i | \(-0.193880\pi\) |
−0.832215 | + | 0.554453i | \(0.812928\pi\) | |||||||
\(110\) | 1.73525 | − | 8.62325i | 0.165449 | − | 0.822195i | ||||
\(111\) | 9.15935 | + | 4.41091i | 0.869367 | + | 0.418665i | ||||
\(112\) | 8.82221 | + | 5.84539i | 0.833620 | + | 0.552338i | ||||
\(113\) | −13.7278 | + | 6.61094i | −1.29140 | + | 0.621905i | −0.948294 | − | 0.317393i | \(-0.897193\pi\) |
−0.343104 | + | 0.939297i | \(0.611478\pi\) | |||||||
\(114\) | −1.79309 | − | 7.01582i | −0.167939 | − | 0.657092i | ||||
\(115\) | −1.72890 | + | 0.678545i | −0.161221 | + | 0.0632746i | ||||
\(116\) | −3.73654 | − | 2.67632i | −0.346929 | − | 0.248490i | ||||
\(117\) | 2.44527 | − | 1.41178i | 0.226066 | − | 0.130519i | ||||
\(118\) | 11.2811 | − | 12.8059i | 1.03851 | − | 1.17888i | ||||
\(119\) | 4.05185 | − | 12.4577i | 0.371432 | − | 1.14199i | ||||
\(120\) | 9.90214 | − | 5.75229i | 0.903937 | − | 0.525110i | ||||
\(121\) | 2.19941 | − | 5.60401i | 0.199947 | − | 0.509456i | ||||
\(122\) | −1.13745 | + | 9.14251i | −0.102980 | + | 0.827724i | ||||
\(123\) | −15.1143 | − | 1.13266i | −1.36281 | − | 0.102128i | ||||
\(124\) | −4.45840 | + | 8.73466i | −0.400376 | + | 0.784396i | ||||
\(125\) | 4.86275 | − | 3.87791i | 0.434937 | − | 0.346851i | ||||
\(126\) | −1.01495 | − | 3.17106i | −0.0904190 | − | 0.282500i | ||||
\(127\) | −2.35121 | + | 2.94833i | −0.208636 | + | 0.261622i | −0.875129 | − | 0.483890i | \(-0.839223\pi\) |
0.666492 | + | 0.745512i | \(0.267795\pi\) | |||||||
\(128\) | −11.1294 | + | 2.03394i | −0.983707 | + | 0.179777i | ||||
\(129\) | 3.32254 | − | 5.75481i | 0.292533 | − | 0.506683i | ||||
\(130\) | −11.8524 | + | 3.99393i | −1.03953 | + | 0.350291i | ||||
\(131\) | −0.962328 | − | 3.11979i | −0.0840790 | − | 0.272578i | 0.903764 | − | 0.428031i | \(-0.140792\pi\) |
−0.987843 | + | 0.155453i | \(0.950316\pi\) | |||||||
\(132\) | −6.08832 | + | 2.22824i | −0.529921 | + | 0.193944i | ||||
\(133\) | 9.19958 | + | 1.53052i | 0.797704 | + | 0.132713i | ||||
\(134\) | −7.16069 | − | 3.89125i | −0.618589 | − | 0.336153i | ||||
\(135\) | −15.5733 | − | 2.34729i | −1.34033 | − | 0.202023i | ||||
\(136\) | 6.10998 | + | 12.6014i | 0.523926 | + | 1.08056i | ||||
\(137\) | −7.00435 | − | 6.49909i | −0.598422 | − | 0.555254i | 0.321722 | − | 0.946834i | \(-0.395738\pi\) |
−0.920144 | + | 0.391580i | \(0.871929\pi\) | |||||||
\(138\) | 1.09196 | + | 0.825599i | 0.0929537 | + | 0.0702796i | ||||
\(139\) | 11.8162 | − | 2.69697i | 1.00224 | − | 0.228754i | 0.310243 | − | 0.950657i | \(-0.399589\pi\) |
0.691994 | + | 0.721903i | \(0.256732\pi\) | |||||||
\(140\) | 1.63646 | + | 14.6574i | 0.138306 | + | 1.23878i | ||||
\(141\) | −1.10767 | − | 0.252818i | −0.0932824 | − | 0.0212911i | ||||
\(142\) | 15.1078 | + | 17.9723i | 1.26782 | + | 1.50820i | ||||
\(143\) | 7.00177 | − | 1.05535i | 0.585518 | − | 0.0882526i | ||||
\(144\) | 3.13199 | + | 1.69117i | 0.260999 | + | 0.140931i | ||||
\(145\) | −0.478659 | − | 6.38726i | −0.0397504 | − | 0.530433i | ||||
\(146\) | −0.694627 | + | 14.1714i | −0.0574877 | + | 1.17283i | ||||
\(147\) | −10.1121 | − | 1.06893i | −0.834032 | − | 0.0881639i | ||||
\(148\) | 1.36885 | − | 13.9297i | 0.112519 | − | 1.14501i | ||||
\(149\) | 15.7445 | − | 1.17989i | 1.28984 | − | 0.0966601i | 0.587921 | − | 0.808918i | \(-0.299947\pi\) |
0.701918 | + | 0.712258i | \(0.252327\pi\) | |||||||
\(150\) | 5.34613 | + | 1.94045i | 0.436509 | + | 0.158437i | ||||
\(151\) | 11.0105 | − | 1.65956i | 0.896021 | − | 0.135053i | 0.315143 | − | 0.949044i | \(-0.397947\pi\) |
0.580878 | + | 0.813991i | \(0.302709\pi\) | |||||||
\(152\) | −8.22253 | + | 5.63823i | −0.666935 | + | 0.457321i | ||||
\(153\) | 0.980420 | − | 4.29550i | 0.0792622 | − | 0.347271i | ||||
\(154\) | 0.535980 | − | 8.33249i | 0.0431905 | − | 0.671451i | ||||
\(155\) | −13.3240 | + | 3.04111i | −1.07021 | + | 0.244268i | ||||
\(156\) | 7.07239 | + | 5.91303i | 0.566244 | + | 0.473421i | ||||
\(157\) | −11.2773 | + | 12.1540i | −0.900024 | + | 0.969996i | −0.999687 | − | 0.0250257i | \(-0.992033\pi\) |
0.0996624 | + | 0.995021i | \(0.468224\pi\) | |||||||
\(158\) | 7.00377 | + | 11.4383i | 0.557190 | + | 0.909981i | ||||
\(159\) | 15.7975 | + | 2.38109i | 1.25282 | + | 0.188833i | ||||
\(160\) | −12.1230 | − | 10.0809i | −0.958408 | − | 0.796963i | ||||
\(161\) | −1.54011 | + | 0.858118i | −0.121377 | + | 0.0676292i | ||||
\(162\) | 3.04894 | + | 7.21500i | 0.239547 | + | 0.566864i | ||||
\(163\) | 5.74398 | + | 18.6215i | 0.449903 | + | 1.45855i | 0.842428 | + | 0.538808i | \(0.181125\pi\) |
−0.392526 | + | 0.919741i | \(0.628399\pi\) | |||||||
\(164\) | 5.68757 | + | 20.0778i | 0.444125 | + | 1.56781i | ||||
\(165\) | −7.82461 | − | 4.51754i | −0.609145 | − | 0.351690i | ||||
\(166\) | −3.14422 | − | 6.11961i | −0.244039 | − | 0.474974i | ||||
\(167\) | −4.06350 | + | 5.09547i | −0.314443 | + | 0.394299i | −0.913788 | − | 0.406192i | \(-0.866856\pi\) |
0.599345 | + | 0.800491i | \(0.295428\pi\) | |||||||
\(168\) | 8.58357 | − | 6.67012i | 0.662237 | − | 0.514611i | ||||
\(169\) | 1.82787 | + | 2.29208i | 0.140605 | + | 0.176314i | ||||
\(170\) | −8.01113 | + | 17.7967i | −0.614426 | + | 1.36494i | ||||
\(171\) | 3.12788 | + | 0.234402i | 0.239195 | + | 0.0179252i | ||||
\(172\) | −9.01283 | − | 1.57268i | −0.687222 | − | 0.119916i | ||||
\(173\) | −0.153219 | − | 0.0601339i | −0.0116490 | − | 0.00457190i | 0.359509 | − | 0.933141i | \(-0.382944\pi\) |
−0.371158 | + | 0.928570i | \(0.621039\pi\) | |||||||
\(174\) | −3.83070 | + | 2.75926i | −0.290405 | + | 0.209179i | ||||
\(175\) | −5.06342 | + | 5.29275i | −0.382758 | + | 0.400095i | ||||
\(176\) | 5.76195 | + | 6.81742i | 0.434324 | + | 0.513883i | ||||
\(177\) | −8.76492 | − | 15.1813i | −0.658812 | − | 1.14110i | ||||
\(178\) | −12.6494 | − | 8.15393i | −0.948114 | − | 0.611163i | ||||
\(179\) | 4.28305 | − | 1.68097i | 0.320130 | − | 0.125642i | −0.199834 | − | 0.979830i | \(-0.564040\pi\) |
0.519965 | + | 0.854188i | \(0.325945\pi\) | |||||||
\(180\) | 0.991531 | + | 4.86029i | 0.0739043 | + | 0.362264i | ||||
\(181\) | −2.94035 | − | 6.10569i | −0.218554 | − | 0.453833i | 0.762648 | − | 0.646813i | \(-0.223899\pi\) |
−0.981203 | + | 0.192981i | \(0.938184\pi\) | |||||||
\(182\) | −10.6417 | + | 5.26400i | −0.788819 | + | 0.390194i | ||||
\(183\) | 8.52613 | + | 4.10597i | 0.630269 | + | 0.303522i | ||||
\(184\) | 0.550736 | − | 1.80250i | 0.0406008 | − | 0.132882i | ||||
\(185\) | 16.1165 | − | 10.9881i | 1.18491 | − | 0.807859i | ||||
\(186\) | 7.03985 | + | 7.20477i | 0.516187 | + | 0.528279i | ||||
\(187\) | 6.22423 | − | 9.12927i | 0.455161 | − | 0.667598i | ||||
\(188\) | 0.197267 | + | 1.55178i | 0.0143872 | + | 0.113175i | ||||
\(189\) | −14.9482 | − | 0.228105i | −1.08732 | − | 0.0165922i | ||||
\(190\) | −13.3781 | − | 3.75119i | −0.970552 | − | 0.272140i | ||||
\(191\) | −10.1772 | + | 9.44311i | −0.736400 | + | 0.683279i | −0.956347 | − | 0.292232i | \(-0.905602\pi\) |
0.219947 | + | 0.975512i | \(0.429411\pi\) | |||||||
\(192\) | −1.67068 | + | 11.5004i | −0.120571 | + | 0.829967i | ||||
\(193\) | 16.3548 | + | 5.04480i | 1.17725 | + | 0.363133i | 0.820818 | − | 0.571190i | \(-0.193518\pi\) |
0.356429 | + | 0.934322i | \(0.383994\pi\) | |||||||
\(194\) | 16.9011 | − | 0.436530i | 1.21343 | − | 0.0313410i | ||||
\(195\) | 12.8470i | 0.919995i | ||||||||
\(196\) | 3.40296 | + | 13.5801i | 0.243068 | + | 0.970009i | ||||
\(197\) | 3.37141i | 0.240203i | 0.992762 | + | 0.120102i | \(0.0383220\pi\) | ||||
−0.992762 | + | 0.120102i | \(0.961678\pi\) | |||||||
\(198\) | −0.0725095 | − | 2.80735i | −0.00515303 | − | 0.199509i | ||||
\(199\) | −5.37162 | − | 1.65693i | −0.380784 | − | 0.117456i | 0.0984533 | − | 0.995142i | \(-0.468611\pi\) |
−0.479237 | + | 0.877685i | \(0.659087\pi\) | |||||||
\(200\) | −0.0208951 | − | 7.83042i | −0.00147750 | − | 0.553694i | ||||
\(201\) | −6.13644 | + | 5.69379i | −0.432831 | + | 0.401609i | ||||
\(202\) | 2.32202 | − | 8.28120i | 0.163377 | − | 0.582663i | ||||
\(203\) | −1.26235 | − | 5.94762i | −0.0885996 | − | 0.417441i | ||||
\(204\) | 14.2701 | − | 1.81407i | 0.999110 | − | 0.127010i | ||||
\(205\) | −16.3821 | + | 24.0281i | −1.14418 | + | 1.67820i | ||||
\(206\) | −8.79257 | + | 8.59131i | −0.612608 | + | 0.598585i | ||||
\(207\) | −0.489932 | + | 0.334030i | −0.0340526 | + | 0.0232167i | ||||
\(208\) | 4.29854 | − | 11.9422i | 0.298050 | − | 0.828041i | ||||
\(209\) | 7.08704 | + | 3.41294i | 0.490221 | + | 0.236078i | ||||
\(210\) | 14.8041 | + | 3.21479i | 1.02158 | + | 0.221842i | ||||
\(211\) | −0.991009 | − | 2.05785i | −0.0682239 | − | 0.141668i | 0.864068 | − | 0.503375i | \(-0.167909\pi\) |
−0.932292 | + | 0.361707i | \(0.882194\pi\) | |||||||
\(212\) | −4.39673 | − | 21.5519i | −0.301969 | − | 1.48019i | ||||
\(213\) | 22.4494 | − | 8.81076i | 1.53821 | − | 0.603703i | ||||
\(214\) | −8.53513 | + | 13.2408i | −0.583450 | + | 0.905122i | ||||
\(215\) | −6.37503 | − | 11.0419i | −0.434773 | − | 0.753049i | ||||
\(216\) | 11.6867 | − | 10.9018i | 0.795178 | − | 0.741776i | ||||
\(217\) | −12.1472 | + | 4.55478i | −0.824605 | + | 0.309199i | ||||
\(218\) | 0.184556 | + | 0.256220i | 0.0124997 | + | 0.0173534i | ||||
\(219\) | 13.5664 | + | 5.32442i | 0.916732 | + | 0.359791i | ||||
\(220\) | −2.13831 | + | 12.2544i | −0.144165 | + | 0.826192i | ||||
\(221\) | −15.6670 | − | 1.17408i | −1.05388 | − | 0.0789771i | ||||
\(222\) | −13.1100 | − | 5.90143i | −0.879887 | − | 0.396078i | ||||
\(223\) | −5.81544 | − | 7.29233i | −0.389431 | − | 0.488331i | 0.548012 | − | 0.836471i | \(-0.315385\pi\) |
−0.937443 | + | 0.348140i | \(0.886813\pi\) | |||||||
\(224\) | −12.6858 | − | 7.94174i | −0.847604 | − | 0.530630i | ||||
\(225\) | −1.53599 | + | 1.92607i | −0.102399 | + | 0.128405i | ||||
\(226\) | 19.1661 | − | 9.84743i | 1.27491 | − | 0.655041i | ||||
\(227\) | 1.00390 | + | 0.579601i | 0.0666311 | + | 0.0384695i | 0.532945 | − | 0.846150i | \(-0.321085\pi\) |
−0.466314 | + | 0.884619i | \(0.654418\pi\) | |||||||
\(228\) | 2.79115 | + | 9.85309i | 0.184849 | + | 0.652537i | ||||
\(229\) | 5.67665 | + | 18.4033i | 0.375124 | + | 1.21612i | 0.924706 | + | 0.380682i | \(0.124311\pi\) |
−0.549582 | + | 0.835440i | \(0.685213\pi\) | |||||||
\(230\) | 2.41945 | − | 1.02242i | 0.159534 | − | 0.0674162i | ||||
\(231\) | −7.93495 | − | 3.25482i | −0.522081 | − | 0.214151i | ||||
\(232\) | 5.38023 | + | 3.64719i | 0.353229 | + | 0.239449i | ||||
\(233\) | 12.5060 | + | 1.88497i | 0.819293 | + | 0.123489i | 0.545298 | − | 0.838243i | \(-0.316417\pi\) |
0.273995 | + | 0.961731i | \(0.411655\pi\) | |||||||
\(234\) | −3.40543 | + | 2.08518i | −0.222620 | + | 0.136312i | ||||
\(235\) | −1.48275 | + | 1.59802i | −0.0967238 | + | 0.104244i | ||||
\(236\) | −15.4809 | + | 18.5162i | −1.00772 | + | 1.20530i | ||||
\(237\) | 13.4312 | − | 3.06558i | 0.872448 | − | 0.199131i | ||||
\(238\) | −5.27338 | + | 17.7599i | −0.341822 | + | 1.15120i | ||||
\(239\) | 5.07404 | − | 22.2308i | 0.328212 | − | 1.43799i | −0.494323 | − | 0.869278i | \(-0.664584\pi\) |
0.822536 | − | 0.568714i | \(-0.192559\pi\) | |||||||
\(240\) | −13.7890 | + | 8.49382i | −0.890078 | + | 0.548274i | ||||
\(241\) | −7.32249 | + | 1.10369i | −0.471683 | + | 0.0710948i | −0.380583 | − | 0.924747i | \(-0.624277\pi\) |
−0.0911004 | + | 0.995842i | \(0.529038\pi\) | |||||||
\(242\) | −2.90477 | + | 8.00294i | −0.186726 | + | 0.514449i | ||||
\(243\) | −8.88113 | + | 0.665549i | −0.569725 | + | 0.0426950i | ||||
\(244\) | 1.27422 | − | 12.9667i | 0.0815734 | − | 0.830107i | ||||
\(245\) | −11.4773 | + | 15.7774i | −0.733261 | + | 1.00798i | ||||
\(246\) | 21.4090 | + | 1.04939i | 1.36499 | + | 0.0669067i | ||||
\(247\) | −0.835837 | − | 11.1535i | −0.0531830 | − | 0.709678i | ||||
\(248\) | 5.98408 | − | 12.5114i | 0.379989 | − | 0.794472i | ||||
\(249\) | −6.98808 | + | 1.05328i | −0.442852 | + | 0.0667491i | ||||
\(250\) | −6.73307 | + | 5.65993i | −0.425837 | + | 0.357965i | ||||
\(251\) | −2.37730 | − | 0.542604i | −0.150054 | − | 0.0342489i | 0.146834 | − | 0.989161i | \(-0.453092\pi\) |
−0.296888 | + | 0.954912i | \(0.595949\pi\) | |||||||
\(252\) | 1.55067 | + | 4.44600i | 0.0976829 | + | 0.280071i | ||||
\(253\) | −1.44975 | + | 0.330895i | −0.0911447 | + | 0.0208032i | ||||
\(254\) | 3.21635 | − | 4.25403i | 0.201812 | − | 0.266922i | ||||
\(255\) | 14.6954 | + | 13.6354i | 0.920263 | + | 0.853879i | ||||
\(256\) | 15.6598 | − | 3.28185i | 0.978738 | − | 0.205116i | ||||
\(257\) | 22.1357 | + | 3.33642i | 1.38079 | + | 0.208120i | 0.797094 | − | 0.603856i | \(-0.206370\pi\) |
0.583692 | + | 0.811975i | \(0.301608\pi\) | |||||||
\(258\) | −4.48708 | + | 8.25714i | −0.279353 | + | 0.514067i | ||||
\(259\) | 13.7638 | − | 12.3855i | 0.855239 | − | 0.769599i | ||||
\(260\) | 16.6104 | − | 6.07918i | 1.03013 | − | 0.377015i | ||||
\(261\) | −0.602757 | − | 1.95409i | −0.0373097 | − | 0.120955i | ||||
\(262\) | 1.47440 | + | 4.37544i | 0.0910889 | + | 0.270316i | ||||
\(263\) | 14.4589 | − | 25.0435i | 0.891573 | − | 1.54425i | 0.0535827 | − | 0.998563i | \(-0.482936\pi\) |
0.837990 | − | 0.545686i | \(-0.183731\pi\) | |||||||
\(264\) | 8.52595 | − | 3.37247i | 0.524736 | − | 0.207561i | ||||
\(265\) | 19.1120 | − | 23.9657i | 1.17404 | − | 1.47220i | ||||
\(266\) | −13.0617 | − | 1.82783i | −0.800865 | − | 0.112072i | ||||
\(267\) | −12.0860 | + | 9.63828i | −0.739652 | + | 0.589853i | ||||
\(268\) | 10.2655 | + | 5.23975i | 0.627063 | + | 0.320069i | ||||
\(269\) | 25.1073 | + | 1.88153i | 1.53082 | + | 0.114719i | 0.813310 | − | 0.581830i | \(-0.197663\pi\) |
0.717509 | + | 0.696549i | \(0.245282\pi\) | |||||||
\(270\) | 22.1023 | + | 2.74981i | 1.34510 | + | 0.167348i | ||||
\(271\) | −10.0326 | + | 25.5628i | −0.609440 | + | 1.55283i | 0.208805 | + | 0.977957i | \(0.433042\pi\) |
−0.818245 | + | 0.574870i | \(0.805053\pi\) | |||||||
\(272\) | −9.09807 | − | 17.5920i | −0.551651 | − | 1.06667i | ||||
\(273\) | 1.63337 | + | 12.0852i | 0.0988563 | + | 0.731428i | ||||
\(274\) | 10.1397 | + | 8.93227i | 0.612559 | + | 0.539618i | ||||
\(275\) | −5.35032 | + | 3.08901i | −0.322636 | + | 0.186274i | ||||
\(276\) | −1.57389 | − | 1.12731i | −0.0947373 | − | 0.0678562i | ||||
\(277\) | −14.8275 | + | 5.81935i | −0.890895 | + | 0.349651i | −0.766244 | − | 0.642550i | \(-0.777877\pi\) |
−0.124652 | + | 0.992201i | \(0.539781\pi\) | |||||||
\(278\) | −16.6066 | + | 4.24429i | −0.995997 | + | 0.254556i | ||||
\(279\) | −3.93117 | + | 1.89315i | −0.235353 | + | 0.113340i | ||||
\(280\) | −2.84874 | − | 20.6620i | −0.170245 | − | 1.23479i | ||||
\(281\) | −17.9802 | − | 8.65881i | −1.07261 | − | 0.516541i | −0.187662 | − | 0.982234i | \(-0.560091\pi\) |
−0.884947 | + | 0.465692i | \(0.845805\pi\) | |||||||
\(282\) | 1.57519 | + | 0.316973i | 0.0938010 | + | 0.0188755i | ||||
\(283\) | −15.3697 | − | 22.5432i | −0.913633 | − | 1.34005i | −0.940278 | − | 0.340409i | \(-0.889435\pi\) |
0.0266444 | − | 0.999645i | \(-0.491518\pi\) | |||||||
\(284\) | −22.0148 | − | 24.8565i | −1.30634 | − | 1.47496i | ||||
\(285\) | −8.03946 | + | 11.7917i | −0.476217 | + | 0.698482i | ||||
\(286\) | −9.86017 | + | 1.74766i | −0.583044 | + | 0.103341i | ||||
\(287\) | −12.3557 | + | 24.6860i | −0.729332 | + | 1.45717i | ||||
\(288\) | −4.48958 | − | 2.27651i | −0.264551 | − | 0.134145i | ||||
\(289\) | −5.50947 | + | 5.11204i | −0.324086 | + | 0.300708i | ||||
\(290\) | 0.909930 | + | 9.01245i | 0.0534329 | + | 0.529230i | ||||
\(291\) | 5.11873 | − | 16.5945i | 0.300065 | − | 0.972788i | ||||
\(292\) | 0.464559 | − | 20.0600i | 0.0271862 | − | 1.17392i | ||||
\(293\) | 3.88232i | 0.226807i | 0.993549 | + | 0.113404i | \(0.0361753\pi\) | ||||
−0.993549 | + | 0.113404i | \(0.963825\pi\) | |||||||
\(294\) | 14.3349 | + | 1.14195i | 0.836030 | + | 0.0665999i | ||||
\(295\) | −33.6349 | −1.95830 | ||||||||
\(296\) | −1.42656 | + | 19.7430i | −0.0829173 | + | 1.14754i | ||||
\(297\) | −12.0493 | − | 3.71671i | −0.699170 | − | 0.215665i | ||||
\(298\) | −22.2156 | + | 2.24296i | −1.28691 | + | 0.129931i | ||||
\(299\) | 1.43817 | + | 1.54998i | 0.0831714 | + | 0.0896375i | ||||
\(300\) | −7.62890 | − | 2.54808i | −0.440455 | − | 0.147113i | ||||
\(301\) | −7.40084 | − | 9.57654i | −0.426577 | − | 0.551983i | ||||
\(302\) | −15.5054 | + | 2.74824i | −0.892236 | + | 0.158144i | ||||
\(303\) | −7.29919 | − | 4.97650i | −0.419328 | − | 0.285893i | ||||
\(304\) | 11.4187 | − | 8.27124i | 0.654905 | − | 0.474388i | ||||
\(305\) | 15.0024 | − | 10.2284i | 0.859032 | − | 0.585678i | ||||
\(306\) | −1.22921 | + | 6.10853i | −0.0702693 | + | 0.349201i | ||||
\(307\) | −4.25707 | + | 8.83991i | −0.242964 | + | 0.504520i | −0.986415 | − | 0.164270i | \(-0.947473\pi\) |
0.743451 | + | 0.668790i | \(0.233187\pi\) | |||||||
\(308\) | −0.453478 | + | 11.7996i | −0.0258393 | + | 0.672343i | ||||
\(309\) | 5.47868 | + | 11.3766i | 0.311671 | + | 0.647192i | ||||
\(310\) | 18.7256 | − | 4.78587i | 1.06354 | − | 0.271819i | ||||
\(311\) | −8.34429 | − | 21.2609i | −0.473161 | − | 1.20560i | −0.945919 | − | 0.324403i | \(-0.894837\pi\) |
0.472758 | − | 0.881192i | \(-0.343259\pi\) | |||||||
\(312\) | −10.2144 | − | 8.10125i | −0.578279 | − | 0.458643i | ||||
\(313\) | 14.0998 | + | 24.4215i | 0.796966 | + | 1.38038i | 0.921584 | + | 0.388180i | \(0.126896\pi\) |
−0.124618 | + | 0.992205i | \(0.539771\pi\) | |||||||
\(314\) | 15.4994 | − | 17.5944i | 0.874679 | − | 0.992911i | ||||
\(315\) | −3.36732 | + | 5.63212i | −0.189727 | + | 0.317334i | ||||
\(316\) | −10.3192 | − | 15.9150i | −0.580500 | − | 0.895291i | ||||
\(317\) | −13.4441 | − | 5.27640i | −0.755093 | − | 0.296352i | −0.0436038 | − | 0.999049i | \(-0.513884\pi\) |
−0.711490 | + | 0.702697i | \(0.751979\pi\) | |||||||
\(318\) | −22.4205 | − | 2.78940i | −1.25728 | − | 0.156422i | ||||
\(319\) | 0.383235 | − | 5.11392i | 0.0214571 | − | 0.286324i | ||||
\(320\) | 17.5069 | + | 13.8091i | 0.978666 | + | 0.771952i | ||||
\(321\) | 10.0889 | + | 12.6511i | 0.563106 | + | 0.706113i | ||||
\(322\) | 2.14598 | − | 1.26939i | 0.119591 | − | 0.0707406i | ||||
\(323\) | −13.6453 | − | 10.8818i | −0.759245 | − | 0.605478i | ||||
\(324\) | −4.57387 | − | 10.0888i | −0.254104 | − | 0.560490i | ||||
\(325\) | 7.60765 | + | 4.39228i | 0.421997 | + | 0.243640i | ||||
\(326\) | −8.80046 | − | 26.1163i | −0.487412 | − | 1.44645i | ||||
\(327\) | 0.309937 | − | 0.0956029i | 0.0171396 | − | 0.00528685i | ||||
\(328\) | −8.77389 | − | 28.1771i | −0.484457 | − | 1.55582i | ||||
\(329\) | −1.19165 | + | 1.69177i | −0.0656975 | + | 0.0932705i | ||||
\(330\) | 11.2269 | + | 6.10092i | 0.618022 | + | 0.335845i | ||||
\(331\) | 4.28142 | − | 28.4054i | 0.235328 | − | 1.56130i | −0.489271 | − | 0.872132i | \(-0.662737\pi\) |
0.724600 | − | 0.689170i | \(-0.242025\pi\) | |||||||
\(332\) | 4.66857 | + | 8.53674i | 0.256221 | + | 0.468514i | ||||
\(333\) | 4.23580 | − | 4.56511i | 0.232121 | − | 0.250166i | ||||
\(334\) | 5.55868 | − | 7.35206i | 0.304158 | − | 0.402287i | ||||
\(335\) | 3.57408 | + | 15.6591i | 0.195273 | + | 0.855547i | ||||
\(336\) | −11.8914 | + | 9.74326i | −0.648729 | + | 0.531538i | ||||
\(337\) | 2.26638 | − | 9.92967i | 0.123458 | − | 0.540904i | −0.874936 | − | 0.484239i | \(-0.839096\pi\) |
0.998393 | − | 0.0566642i | \(-0.0180465\pi\) | |||||||
\(338\) | −2.66783 | − | 3.17366i | −0.145111 | − | 0.172624i | ||||
\(339\) | −3.29880 | − | 21.8861i | −0.179166 | − | 1.18869i | ||||
\(340\) | 10.6758 | − | 25.4525i | 0.578978 | − | 1.38035i | ||||
\(341\) | −10.9115 | + | 0.817705i | −0.590891 | + | 0.0442812i | ||||
\(342\) | −4.43057 | − | 0.217170i | −0.239578 | − | 0.0117432i | ||||
\(343\) | −8.79078 | + | 16.3010i | −0.474657 | + | 0.880171i | ||||
\(344\) | 12.7992 | + | 1.89426i | 0.690089 | + | 0.102132i | ||||
\(345\) | −0.201619 | − | 2.69042i | −0.0108548 | − | 0.144847i | ||||
\(346\) | 0.218808 | + | 0.0794191i | 0.0117632 | + | 0.00426960i | ||||
\(347\) | 4.88493 | + | 32.4094i | 0.262237 | + | 1.73983i | 0.601264 | + | 0.799050i | \(0.294664\pi\) |
−0.339027 | + | 0.940777i | \(0.610098\pi\) | |||||||
\(348\) | 5.31487 | − | 4.04076i | 0.284907 | − | 0.216607i | ||||
\(349\) | 9.04626 | + | 2.06475i | 0.484235 | + | 0.110524i | 0.457667 | − | 0.889123i | \(-0.348685\pi\) |
0.0265679 | + | 0.999647i | \(0.491542\pi\) | |||||||
\(350\) | 6.96510 | − | 7.66748i | 0.372300 | − | 0.409844i | ||||
\(351\) | 3.98969 | + | 17.4800i | 0.212954 | + | 0.933012i | ||||
\(352\) | −8.39485 | − | 9.42768i | −0.447447 | − | 0.502497i | ||||
\(353\) | 10.6287 | + | 9.86196i | 0.565707 | + | 0.524899i | 0.910353 | − | 0.413833i | \(-0.135810\pi\) |
−0.344646 | + | 0.938733i | \(0.612001\pi\) | |||||||
\(354\) | 12.9457 | + | 21.1424i | 0.688055 | + | 1.12370i | ||||
\(355\) | 6.89661 | − | 45.7560i | 0.366034 | − | 2.42848i | ||||
\(356\) | 18.1808 | + | 11.0657i | 0.963578 | + | 0.586479i | ||||
\(357\) | 15.5576 | + | 10.9584i | 0.823393 | + | 0.579979i | ||||
\(358\) | −5.99375 | + | 2.53286i | −0.316780 | + | 0.133866i | ||||
\(359\) | 25.7569 | − | 7.94495i | 1.35940 | − | 0.419318i | 0.472518 | − | 0.881321i | \(-0.343345\pi\) |
0.886879 | + | 0.462003i | \(0.152869\pi\) | |||||||
\(360\) | −1.57924 | − | 6.83498i | −0.0832333 | − | 0.360235i | ||||
\(361\) | −3.28752 | + | 5.69416i | −0.173028 | + | 0.299693i | ||||
\(362\) | 4.37984 | + | 8.52451i | 0.230199 | + | 0.448038i | ||||
\(363\) | 6.83719 | + | 5.45248i | 0.358860 | + | 0.286181i | ||||
\(364\) | 14.8525 | − | 7.83052i | 0.778481 | − | 0.410431i | ||||
\(365\) | 21.8624 | − | 17.4347i | 1.14433 | − | 0.912575i | ||||
\(366\) | −12.2037 | − | 5.49345i | −0.637896 | − | 0.287147i | ||||
\(367\) | 0.570974 | − | 7.61912i | 0.0298046 | − | 0.397715i | −0.962273 | − | 0.272087i | \(-0.912286\pi\) |
0.992077 | − | 0.125628i | \(-0.0400947\pi\) | |||||||
\(368\) | −0.712780 | + | 2.56839i | −0.0371562 | + | 0.133886i | ||||
\(369\) | −3.39206 | + | 8.64282i | −0.176583 | + | 0.449927i | ||||
\(370\) | −22.3834 | + | 16.1228i | −1.16366 | + | 0.838184i | ||||
\(371\) | 14.9316 | − | 24.9744i | 0.775212 | − | 1.29661i | ||||
\(372\) | −10.2156 | − | 9.92863i | −0.529655 | − | 0.514775i | ||||
\(373\) | −16.8598 | + | 9.73399i | −0.872965 | + | 0.504007i | −0.868332 | − | 0.495983i | \(-0.834808\pi\) |
−0.00463272 | + | 0.999989i | \(0.501475\pi\) | |||||||
\(374\) | −8.46610 | + | 13.1337i | −0.437772 | + | 0.679128i | ||||
\(375\) | 3.30083 | + | 8.41038i | 0.170454 | + | 0.434310i | ||||
\(376\) | −0.335548 | − | 2.18661i | −0.0173046 | − | 0.112766i | ||||
\(377\) | −6.56978 | + | 3.16384i | −0.338361 | + | 0.162946i | ||||
\(378\) | 21.1412 | − | 0.223348i | 1.08739 | − | 0.0114878i | ||||
\(379\) | 6.61634 | − | 13.7390i | 0.339859 | − | 0.705724i | −0.659066 | − | 0.752085i | \(-0.729048\pi\) |
0.998925 | + | 0.0463614i | \(0.0147626\pi\) | |||||||
\(380\) | 19.0502 | + | 4.81471i | 0.977255 | + | 0.246989i | ||||
\(381\) | −3.08585 | − | 4.52611i | −0.158093 | − | 0.231879i | ||||
\(382\) | 14.0432 | − | 13.7217i | 0.718512 | − | 0.702065i | ||||
\(383\) | −1.06225 | − | 0.724230i | −0.0542784 | − | 0.0370064i | 0.535877 | − | 0.844296i | \(-0.319981\pi\) |
−0.590155 | + | 0.807290i | \(0.700933\pi\) | |||||||
\(384\) | 1.94198 | − | 16.3195i | 0.0991011 | − | 0.832803i | ||||
\(385\) | −13.0209 | + | 10.0627i | −0.663605 | + | 0.512840i | ||||
\(386\) | −23.3057 | − | 6.53485i | −1.18623 | − | 0.332615i | ||||
\(387\) | −2.76873 | − | 2.98399i | −0.140743 | − | 0.151685i | ||||
\(388\) | −23.8778 | + | 1.23428i | −1.21221 | + | 0.0626611i | ||||
\(389\) | 10.1719 | − | 32.9766i | 0.515738 | − | 1.67198i | −0.204991 | − | 0.978764i | \(-0.565716\pi\) |
0.720729 | − | 0.693217i | \(-0.243807\pi\) | |||||||
\(390\) | −0.469107 | − | 18.1624i | −0.0237542 | − | 0.919689i | ||||
\(391\) | 3.29940 | 0.166858 | ||||||||
\(392\) | −5.30678 | − | 19.0745i | −0.268033 | − | 0.963410i | ||||
\(393\) | 4.74262 | 0.239233 | ||||||||
\(394\) | −0.123107 | − | 4.76631i | −0.00620202 | − | 0.240123i | ||||
\(395\) | 7.79138 | − | 25.2590i | 0.392027 | − | 1.27092i | ||||
\(396\) | 0.205019 | + | 3.96621i | 0.0103026 | + | 0.199310i | ||||
\(397\) | 24.9031 | + | 26.8392i | 1.24985 | + | 1.34702i | 0.914321 | + | 0.404989i | \(0.132725\pi\) |
0.335529 | + | 0.942030i | \(0.391085\pi\) | |||||||
\(398\) | 7.65459 | + | 2.14632i | 0.383690 | + | 0.107585i | ||||
\(399\) | −6.06350 | + | 12.1146i | −0.303555 | + | 0.606488i | ||||
\(400\) | 0.315467 | + | 11.0694i | 0.0157733 | + | 0.553472i | ||||
\(401\) | −20.9676 | − | 14.2955i | −1.04707 | − | 0.713882i | −0.0877351 | − | 0.996144i | \(-0.527963\pi\) |
−0.959337 | + | 0.282262i | \(0.908915\pi\) | |||||||
\(402\) | 8.46744 | − | 8.27362i | 0.422318 | − | 0.412651i | ||||
\(403\) | 8.76450 | + | 12.8552i | 0.436591 | + | 0.640361i | ||||
\(404\) | −2.98035 | + | 11.7923i | −0.148278 | + | 0.586687i | ||||
\(405\) | 6.69795 | − | 13.9084i | 0.332824 | − | 0.691116i | ||||
\(406\) | 2.00181 | + | 8.36231i | 0.0993483 | + | 0.415014i | ||||
\(407\) | 14.0707 | − | 6.77609i | 0.697458 | − | 0.335878i | ||||
\(408\) | −20.1081 | + | 3.08570i | −0.995497 | + | 0.152765i | ||||
\(409\) | 4.87909 | + | 12.4317i | 0.241256 | + | 0.614709i | 0.999297 | − | 0.0374975i | \(-0.0119386\pi\) |
−0.758041 | + | 0.652207i | \(0.773843\pi\) | |||||||
\(410\) | 22.2827 | − | 34.5678i | 1.10046 | − | 1.70718i | ||||
\(411\) | 12.0204 | − | 6.94000i | 0.592924 | − | 0.342325i | ||||
\(412\) | 12.1167 | − | 12.4670i | 0.596948 | − | 0.614203i | ||||
\(413\) | −31.6402 | + | 4.27634i | −1.55691 | + | 0.210425i | ||||
\(414\) | 0.680440 | − | 0.490122i | 0.0334418 | − | 0.0240882i | ||||
\(415\) | −4.95389 | + | 12.6223i | −0.243177 | + | 0.619604i | ||||
\(416\) | −5.64096 | + | 17.0401i | −0.276571 | + | 0.835461i | ||||
\(417\) | −1.31570 | + | 17.5568i | −0.0644302 | + | 0.859761i | ||||
\(418\) | −10.1439 | − | 4.56623i | −0.496153 | − | 0.223342i | ||||
\(419\) | −19.2262 | + | 15.3324i | −0.939261 | + | 0.749036i | −0.968104 | − | 0.250548i | \(-0.919389\pi\) |
0.0288431 | + | 0.999584i | \(0.490818\pi\) | |||||||
\(420\) | −21.0466 | − | 4.00432i | −1.02697 | − | 0.195391i | ||||
\(421\) | 14.3441 | + | 11.4391i | 0.699090 | + | 0.557506i | 0.907251 | − | 0.420589i | \(-0.138177\pi\) |
−0.208161 | + | 0.978094i | \(0.566748\pi\) | |||||||
\(422\) | 1.47617 | + | 2.87308i | 0.0718590 | + | 0.139860i | ||||
\(423\) | −0.347991 | + | 0.602739i | −0.0169199 | + | 0.0293062i | ||||
\(424\) | 7.00280 | + | 30.3083i | 0.340086 | + | 1.47190i | ||||
\(425\) | 13.0987 | − | 4.04042i | 0.635380 | − | 0.195989i | ||||
\(426\) | −31.4160 | + | 13.2759i | −1.52211 | + | 0.643218i | ||||
\(427\) | 12.8122 | − | 11.5293i | 0.620027 | − | 0.557940i | ||||
\(428\) | 11.5830 | − | 19.0307i | 0.559885 | − | 0.919885i | ||||
\(429\) | −1.53303 | + | 10.1710i | −0.0740156 | + | 0.491061i | ||||
\(430\) | 9.41584 | + | 15.3776i | 0.454072 | + | 0.741573i | ||||
\(431\) | −7.37491 | − | 6.84292i | −0.355237 | − | 0.329612i | 0.482286 | − | 0.876014i | \(-0.339807\pi\) |
−0.837523 | + | 0.546402i | \(0.815997\pi\) | |||||||
\(432\) | −16.1239 | + | 15.8391i | −0.775760 | + | 0.762060i | ||||
\(433\) | 5.96014 | + | 26.1131i | 0.286426 | + | 1.25491i | 0.889391 | + | 0.457147i | \(0.151129\pi\) |
−0.602965 | + | 0.797768i | \(0.706014\pi\) | |||||||
\(434\) | 17.0067 | − | 6.88284i | 0.816347 | − | 0.330387i | ||||
\(435\) | 9.07109 | + | 2.07042i | 0.434925 | + | 0.0992689i | ||||
\(436\) | −0.270270 | − | 0.355490i | −0.0129436 | − | 0.0170249i | ||||
\(437\) | 0.350081 | + | 2.32264i | 0.0167467 | + | 0.111107i | ||||
\(438\) | −19.3738 | − | 7.03198i | −0.925716 | − | 0.336001i | ||||
\(439\) | 0.552727 | + | 7.37563i | 0.0263802 | + | 0.352020i | 0.994738 | + | 0.102453i | \(0.0326691\pi\) |
−0.968358 | + | 0.249567i | \(0.919712\pi\) | |||||||
\(440\) | 2.57555 | − | 17.4027i | 0.122785 | − | 0.829639i | ||||
\(441\) | −2.45156 | + | 5.72625i | −0.116741 | + | 0.272678i | ||||
\(442\) | 22.1919 | + | 1.08777i | 1.05556 | + | 0.0517398i | ||||
\(443\) | −5.63364 | + | 0.422183i | −0.267662 | + | 0.0200585i | −0.207885 | − | 0.978153i | \(-0.566658\pi\) |
−0.0597771 | + | 0.998212i | \(0.519039\pi\) | |||||||
\(444\) | 18.7497 | + | 7.86440i | 0.889820 | + | 0.373228i | ||||
\(445\) | 4.42070 | + | 29.3294i | 0.209561 | + | 1.39035i | ||||
\(446\) | 8.48781 | + | 10.0971i | 0.401909 | + | 0.478113i | ||||
\(447\) | −5.10354 | + | 22.3601i | −0.241389 | + | 1.05760i | ||||
\(448\) | 18.2244 | + | 10.7643i | 0.861022 | + | 0.508568i | ||||
\(449\) | −1.04504 | − | 4.57860i | −0.0493183 | − | 0.216077i | 0.944264 | − | 0.329189i | \(-0.106775\pi\) |
−0.993582 | + | 0.113112i | \(0.963918\pi\) | |||||||
\(450\) | 2.10117 | − | 2.77906i | 0.0990500 | − | 0.131006i | ||||
\(451\) | −15.8370 | + | 17.0682i | −0.745736 | + | 0.803712i | ||||
\(452\) | −26.7363 | + | 14.6216i | −1.25757 | + | 0.687741i | ||||
\(453\) | −2.41074 | + | 15.9942i | −0.113267 | + | 0.751474i | ||||
\(454\) | −1.44042 | − | 0.782749i | −0.0676021 | − | 0.0367362i | ||||
\(455\) | 21.6485 | + | 8.87993i | 1.01490 | + | 0.416297i | ||||
\(456\) | −4.30576 | − | 13.8278i | −0.201636 | − | 0.647546i | ||||
\(457\) | −34.5795 | + | 10.6663i | −1.61756 | + | 0.498951i | −0.965759 | − | 0.259440i | \(-0.916462\pi\) |
−0.651800 | + | 0.758391i | \(0.725986\pi\) | |||||||
\(458\) | −8.69731 | − | 25.8102i | −0.406399 | − | 1.20603i | ||||
\(459\) | 24.2294 | + | 13.9889i | 1.13093 | + | 0.652944i | ||||
\(460\) | −3.38314 | + | 1.53378i | −0.157740 | + | 0.0715129i | ||||
\(461\) | −9.68799 | − | 7.72592i | −0.451215 | − | 0.359832i | 0.371360 | − | 0.928489i | \(-0.378892\pi\) |
−0.822575 | + | 0.568657i | \(0.807463\pi\) | |||||||
\(462\) | 11.3368 | + | 4.31173i | 0.527437 | + | 0.200600i | ||||
\(463\) | 24.8060 | + | 31.1058i | 1.15283 | + | 1.44561i | 0.874436 | + | 0.485142i | \(0.161232\pi\) |
0.278398 | + | 0.960466i | \(0.410197\pi\) | |||||||
\(464\) | −7.73943 | − | 4.95972i | −0.359294 | − | 0.230249i | ||||
\(465\) | 1.48359 | − | 19.7971i | 0.0687998 | − | 0.918069i | ||||
\(466\) | −17.7490 | − | 2.20821i | −0.822208 | − | 0.102293i | ||||
\(467\) | −25.6306 | − | 10.0593i | −1.18604 | − | 0.465487i | −0.311410 | − | 0.950276i | \(-0.600801\pi\) |
−0.874631 | + | 0.484789i | \(0.838897\pi\) | |||||||
\(468\) | 4.73827 | − | 3.07226i | 0.219026 | − | 0.142015i | ||||
\(469\) | 5.35303 | + | 14.2761i | 0.247180 | + | 0.659207i | ||||
\(470\) | 2.03787 | − | 2.31333i | 0.0940000 | − | 0.106706i | ||||
\(471\) | −12.0424 | − | 20.8580i | −0.554882 | − | 0.961084i | ||||
\(472\) | 21.2099 | − | 26.7425i | 0.976265 | − | 1.23092i | ||||
\(473\) | −3.72949 | − | 9.50260i | −0.171482 | − | 0.436930i | ||||
\(474\) | −18.8763 | + | 4.82437i | −0.867016 | + | 0.221591i | ||||
\(475\) | 4.23411 | + | 8.79222i | 0.194274 | + | 0.403415i | ||||
\(476\) | 6.80670 | − | 25.3004i | 0.311985 | − | 1.15964i | ||||
\(477\) | 4.24621 | − | 8.81734i | 0.194420 | − | 0.403718i | ||||
\(478\) | −6.36163 | + | 31.6139i | −0.290974 | + | 1.44599i | ||||
\(479\) | −0.490320 | + | 0.334295i | −0.0224033 | + | 0.0152743i | −0.574470 | − | 0.818526i | \(-0.694792\pi\) |
0.552067 | + | 0.833800i | \(0.313839\pi\) | |||||||
\(480\) | 19.1840 | − | 12.5116i | 0.875625 | − | 0.571073i | ||||
\(481\) | −18.3477 | − | 12.5093i | −0.836585 | − | 0.570374i | ||||
\(482\) | 10.3118 | − | 1.82771i | 0.469690 | − | 0.0832499i | ||||
\(483\) | −0.531723 | − | 2.50524i | −0.0241942 | − | 0.113992i | ||||
\(484\) | 3.81437 | − | 11.4202i | 0.173381 | − | 0.519098i | ||||
\(485\) | −22.6637 | − | 24.4257i | −1.02911 | − | 1.10911i | ||||
\(486\) | 12.5313 | − | 1.26521i | 0.568433 | − | 0.0573910i | ||||
\(487\) | −27.2601 | − | 8.40862i | −1.23527 | − | 0.381031i | −0.392726 | − | 0.919655i | \(-0.628468\pi\) |
−0.842546 | + | 0.538625i | \(0.818944\pi\) | |||||||
\(488\) | −1.32794 | + | 18.3781i | −0.0601130 | + | 0.831936i | ||||
\(489\) | −28.3079 | −1.28013 | ||||||||
\(490\) | 15.6499 | − | 22.7243i | 0.706990 | − | 1.02658i | ||||
\(491\) | 37.2357i | 1.68042i | 0.542259 | + | 0.840212i | \(0.317569\pi\) | ||||
−0.542259 | + | 0.840212i | \(0.682431\pi\) | |||||||
\(492\) | −30.3052 | − | 0.701820i | −1.36626 | − | 0.0316405i | ||||
\(493\) | −3.35387 | + | 10.8730i | −0.151051 | + | 0.489695i | ||||
\(494\) | 1.58892 | + | 15.7376i | 0.0714891 | + | 0.708068i | ||||
\(495\) | −4.05722 | + | 3.76455i | −0.182358 | + | 0.169204i | ||||
\(496\) | −8.00309 | + | 17.9063i | −0.359349 | + | 0.804019i | ||||
\(497\) | 0.670199 | − | 43.9194i | 0.0300625 | − | 1.97006i | ||||
\(498\) | 9.84088 | − | 1.74424i | 0.440981 | − | 0.0781613i | ||||
\(499\) | 1.02253 | − | 1.49978i | 0.0457748 | − | 0.0671393i | −0.802669 | − | 0.596425i | \(-0.796587\pi\) |
0.848444 | + | 0.529285i | \(0.177540\pi\) | |||||||
\(500\) | 9.31215 | − | 8.24754i | 0.416452 | − | 0.368841i | ||||
\(501\) | −5.33314 | − | 7.82227i | −0.238267 | − | 0.349473i | ||||
\(502\) | 3.38071 | + | 0.680296i | 0.150888 | + | 0.0303631i | ||||
\(503\) | 13.0759 | + | 6.29704i | 0.583027 | + | 0.280771i | 0.702058 | − | 0.712119i | \(-0.252265\pi\) |
−0.119031 | + | 0.992891i | \(0.537979\pi\) | |||||||
\(504\) | −2.35459 | − | 6.22887i | −0.104882 | − | 0.277456i | ||||
\(505\) | −15.2718 | + | 7.35452i | −0.679587 | + | 0.327272i | ||||
\(506\) | 2.03748 | − | 0.520737i | 0.0905772 | − | 0.0231496i | ||||
\(507\) | −3.96427 | + | 1.55586i | −0.176059 | + | 0.0690982i | ||||
\(508\) | −4.39176 | + | 6.13155i | −0.194853 | + | 0.272043i | ||||
\(509\) | 15.2653 | − | 8.81344i | 0.676624 | − | 0.390649i | −0.121958 | − | 0.992535i | \(-0.538917\pi\) |
0.798582 | + | 0.601886i | \(0.205584\pi\) | |||||||
\(510\) | −21.2734 | − | 18.7403i | −0.942003 | − | 0.829834i | ||||
\(511\) | 18.3493 | − | 19.1804i | 0.811725 | − | 0.848491i | ||||
\(512\) | −22.0191 | + | 5.21151i | −0.973115 | + | 0.230318i | ||||
\(513\) | −7.27671 | + | 18.5408i | −0.321275 | + | 0.818595i | ||||
\(514\) | −31.4160 | − | 3.90855i | −1.38570 | − | 0.172399i | ||||
\(515\) | 24.1601 | + | 1.81055i | 1.06462 | + | 0.0797822i | ||||
\(516\) | 6.04207 | − | 11.8373i | 0.265987 | − | 0.521109i | ||||
\(517\) | −1.36459 | + | 1.08822i | −0.0600144 | + | 0.0478599i | ||||
\(518\) | −19.0062 | + | 18.0125i | −0.835083 | + | 0.791424i | ||||
\(519\) | 0.149076 | − | 0.186935i | 0.00654370 | − | 0.00820554i | ||||
\(520\) | −23.2609 | + | 9.20092i | −1.02006 | + | 0.403487i | ||||
\(521\) | −5.16064 | + | 8.93849i | −0.226092 | + | 0.391602i | −0.956646 | − | 0.291252i | \(-0.905928\pi\) |
0.730555 | + | 0.682854i | \(0.239262\pi\) | |||||||
\(522\) | 0.923496 | + | 2.74057i | 0.0404203 | + | 0.119951i | ||||
\(523\) | −0.750469 | − | 2.43296i | −0.0328157 | − | 0.106386i | 0.937683 | − | 0.347491i | \(-0.112966\pi\) |
−0.970499 | + | 0.241105i | \(0.922490\pi\) | |||||||
\(524\) | −2.24419 | − | 6.13191i | −0.0980381 | − | 0.267874i | ||||
\(525\) | −5.17885 | − | 9.29472i | −0.226024 | − | 0.405655i | ||||
\(526\) | −19.5267 | + | 35.9330i | −0.851403 | + | 1.56675i | ||||
\(527\) | 24.0070 | + | 3.61848i | 1.04576 | + | 0.157623i | ||||
\(528\) | −11.9304 | + | 5.07913i | −0.519202 | + | 0.221041i | ||||
\(529\) | 16.5347 | + | 15.3419i | 0.718899 | + | 0.667041i | ||||
\(530\) | −26.1444 | + | 34.5792i | −1.13564 | + | 1.50203i | ||||
\(531\) | −10.4692 | + | 2.38952i | −0.454323 | + | 0.103696i | ||||
\(532\) | 18.5326 | + | 2.10714i | 0.803492 | + | 0.0913561i | ||||
\(533\) | 32.2773 | + | 7.36709i | 1.39809 | + | 0.319104i | ||||
\(534\) | 16.7346 | − | 14.0674i | 0.724176 | − | 0.608754i | ||||
\(535\) | 30.7006 | − | 4.62738i | 1.32730 | − | 0.200059i | ||||
\(536\) | −14.7040 | − | 7.03282i | −0.635118 | − | 0.303771i | ||||
\(537\) | 0.499476 | + | 6.66504i | 0.0215540 | + | 0.287618i | ||||
\(538\) | −35.5639 | − | 1.74321i | −1.53327 | − | 0.0751552i | ||||
\(539\) | −10.9693 | + | 11.1214i | −0.472483 | + | 0.479032i | ||||
\(540\) | −31.3473 | − | 3.08046i | −1.34897 | − | 0.132562i | ||||
\(541\) | −43.3942 | + | 3.25194i | −1.86566 | + | 0.139812i | −0.959245 | − | 0.282574i | \(-0.908812\pi\) |
−0.906416 | + | 0.422386i | \(0.861193\pi\) | |||||||
\(542\) | 13.2501 | − | 36.5055i | 0.569143 | − | 1.56804i | ||||
\(543\) | 9.73427 | − | 1.46721i | 0.417738 | − | 0.0629638i | ||||
\(544\) | 13.5047 | + | 24.5383i | 0.579009 | + | 1.05207i | ||||
\(545\) | 0.138482 | − | 0.606728i | 0.00593190 | − | 0.0259894i | ||||
\(546\) | −2.75046 | − | 17.0257i | −0.117709 | − | 0.728632i | ||||
\(547\) | −2.63312 | + | 0.600992i | −0.112584 | + | 0.0256966i | −0.278442 | − | 0.960453i | \(-0.589818\pi\) |
0.165858 | + | 0.986150i | \(0.446961\pi\) | |||||||
\(548\) | −14.6610 | − | 12.2577i | −0.626288 | − | 0.523622i | ||||
\(549\) | 3.94297 | − | 4.24951i | 0.168282 | − | 0.181365i | ||||
\(550\) | 7.45118 | − | 4.56243i | 0.317719 | − | 0.194543i | ||||
\(551\) | −8.00999 | − | 1.20731i | −0.341237 | − | 0.0514332i | ||||
\(552\) | 2.26624 | + | 1.53626i | 0.0964578 | + | 0.0653874i | ||||
\(553\) | 4.11790 | − | 24.7517i | 0.175111 | − | 1.05255i | ||||
\(554\) | 20.7497 | − | 8.76848i | 0.881570 | − | 0.372537i | ||||
\(555\) | 8.35188 | + | 27.0761i | 0.354517 | + | 1.14932i | ||||
\(556\) | 23.3225 | − | 6.60672i | 0.989093 | − | 0.280187i | ||||
\(557\) | 22.8351 | + | 13.1839i | 0.967554 | + | 0.558618i | 0.898490 | − | 0.438994i | \(-0.144665\pi\) |
0.0690645 | + | 0.997612i | \(0.477999\pi\) | |||||||
\(558\) | 5.48853 | − | 2.81997i | 0.232348 | − | 0.119379i | ||||
\(559\) | −9.05007 | + | 11.3484i | −0.382777 | + | 0.479987i | ||||
\(560\) | 4.78186 | + | 29.1068i | 0.202070 | + | 1.22999i | ||||
\(561\) | 10.0073 | + | 12.5487i | 0.422508 | + | 0.529808i | ||||
\(562\) | 25.7355 | + | 11.5848i | 1.08559 | + | 0.488674i | ||||
\(563\) | −14.1970 | − | 1.06392i | −0.598331 | − | 0.0448387i | −0.227878 | − | 0.973690i | \(-0.573179\pi\) |
−0.370453 | + | 0.928851i | \(0.620798\pi\) | |||||||
\(564\) | −2.23848 | − | 0.390600i | −0.0942571 | − | 0.0164472i | ||||
\(565\) | −39.5320 | − | 15.5152i | −1.66312 | − | 0.652727i | ||||
\(566\) | 22.5519 | + | 31.3090i | 0.947929 | + | 1.31602i | ||||
\(567\) | 4.53242 | − | 13.9352i | 0.190344 | − | 0.585224i | ||||
\(568\) | 32.0308 | + | 34.3368i | 1.34398 | + | 1.44074i | ||||
\(569\) | 2.54615 | + | 4.41006i | 0.106740 | + | 0.184879i | 0.914448 | − | 0.404704i | \(-0.132625\pi\) |
−0.807708 | + | 0.589583i | \(0.799292\pi\) | |||||||
\(570\) | 10.9352 | − | 16.9640i | 0.458023 | − | 0.710545i | ||||
\(571\) | −11.3395 | + | 4.45041i | −0.474542 | + | 0.186244i | −0.590545 | − | 0.807005i | \(-0.701087\pi\) |
0.116003 | + | 0.993249i | \(0.462992\pi\) | |||||||
\(572\) | 13.8759 | − | 2.83078i | 0.580181 | − | 0.118361i | ||||
\(573\) | −8.75035 | − | 18.1703i | −0.365551 | − | 0.759075i | ||||
\(574\) | 16.5663 | − | 35.3509i | 0.691465 | − | 1.47552i | ||||
\(575\) | −1.66212 | − | 0.800436i | −0.0693153 | − | 0.0333805i | ||||
\(576\) | 6.43023 | + | 3.05447i | 0.267926 | + | 0.127269i | ||||
\(577\) | −17.1479 | + | 11.6912i | −0.713875 | + | 0.486712i | −0.864980 | − | 0.501806i | \(-0.832669\pi\) |
0.151105 | + | 0.988518i | \(0.451717\pi\) | |||||||
\(578\) | 7.60230 | − | 7.42828i | 0.316214 | − | 0.308976i | ||||
\(579\) | −14.0054 | + | 20.5421i | −0.582043 | + | 0.853700i | ||||
\(580\) | −1.61549 | − | 12.7081i | −0.0670797 | − | 0.527673i | ||||
\(581\) | −3.05531 | + | 12.5036i | −0.126756 | + | 0.518737i | ||||
\(582\) | −6.63062 | + | 23.6473i | −0.274848 | + | 0.980211i | ||||
\(583\) | 17.9909 | − | 16.6931i | 0.745105 | − | 0.691357i | ||||
\(584\) | 0.0757215 | + | 28.3766i | 0.00313338 | + | 1.17423i | ||||
\(585\) | 7.52019 | + | 2.31967i | 0.310921 | + | 0.0959066i | ||||
\(586\) | −0.141762 | − | 5.48859i | −0.00585614 | − | 0.226732i | ||||
\(587\) | − | 19.9117i | − | 0.821844i | −0.911670 | − | 0.410922i | \(-0.865207\pi\) | ||
0.911670 | − | 0.410922i | \(-0.134793\pi\) | |||||||
\(588\) | −20.3076 | − | 1.09099i | −0.837471 | − | 0.0449915i | ||||
\(589\) | 17.2839i | 0.712169i | ||||||||
\(590\) | 47.5510 | − | 1.22817i | 1.95764 | − | 0.0505630i | ||||
\(591\) | −4.67985 | − | 1.44354i | −0.192503 | − | 0.0593794i | ||||
\(592\) | 1.29588 | − | 27.9636i | 0.0532604 | − | 1.14930i | ||||
\(593\) | 30.9162 | − | 28.6860i | 1.26958 | − | 1.17799i | 0.294616 | − | 0.955616i | \(-0.404808\pi\) |
0.974960 | − | 0.222379i | \(-0.0713821\pi\) | |||||||
\(594\) | 17.1703 | + | 4.81449i | 0.704505 | + | 0.197541i | ||||
\(595\) | 33.1344 | − | 15.3383i | 1.35838 | − | 0.628811i | ||||
\(596\) | 31.3252 | − | 3.98217i | 1.28313 | − | 0.163116i | ||||
\(597\) | 4.59995 | − | 6.74689i | 0.188263 | − | 0.276132i | ||||
\(598\) | −2.08980 | − | 2.13875i | −0.0854581 | − | 0.0874601i | ||||
\(599\) | −29.6016 | + | 20.1820i | −1.20949 | + | 0.824615i | −0.988582 | − | 0.150681i | \(-0.951853\pi\) |
−0.220905 | + | 0.975295i | \(0.570901\pi\) | |||||||
\(600\) | 10.8783 | + | 3.32376i | 0.444106 | + | 0.135692i | ||||
\(601\) | 4.67069 | + | 2.24929i | 0.190522 | + | 0.0917503i | 0.526712 | − | 0.850044i | \(-0.323424\pi\) |
−0.336191 | + | 0.941794i | \(0.609139\pi\) | |||||||
\(602\) | 10.8126 | + | 13.2685i | 0.440687 | + | 0.540785i | ||||
\(603\) | 2.22493 | + | 4.62012i | 0.0906063 | + | 0.188146i | ||||
\(604\) | 21.8203 | − | 4.45148i | 0.887855 | − | 0.181128i | ||||
\(605\) | 15.6195 | − | 6.13020i | 0.635023 | − | 0.249228i | ||||
\(606\) | 10.5009 | + | 6.76896i | 0.426569 | + | 0.274970i | ||||
\(607\) | 6.99096 | + | 12.1087i | 0.283754 | + | 0.491477i | 0.972306 | − | 0.233710i | \(-0.0750866\pi\) |
−0.688552 | + | 0.725187i | \(0.741753\pi\) | |||||||
\(608\) | −15.8410 | + | 12.1104i | −0.642438 | + | 0.491140i | ||||
\(609\) | 8.79638 | + | 0.794337i | 0.356447 | + | 0.0321881i | ||||
\(610\) | −20.8360 | + | 15.0082i | −0.843624 | + | 0.607663i | ||||
\(611\) | 2.31020 | + | 0.906687i | 0.0934607 | + | 0.0366806i | ||||
\(612\) | 1.51474 | − | 8.68077i | 0.0612296 | − | 0.350899i | ||||
\(613\) | −21.5255 | − | 1.61311i | −0.869407 | − | 0.0651531i | −0.367448 | − | 0.930044i | \(-0.619768\pi\) |
−0.501960 | + | 0.864891i | \(0.667387\pi\) | |||||||
\(614\) | 5.69562 | − | 12.6528i | 0.229856 | − | 0.510625i | ||||
\(615\) | −26.3391 | − | 33.0281i | −1.06209 | − | 1.33182i | ||||
\(616\) | 0.210242 | − | 16.6981i | 0.00847089 | − | 0.672786i | ||||
\(617\) | 20.0244 | − | 25.1098i | 0.806151 | − | 1.01088i | −0.193406 | − | 0.981119i | \(-0.561953\pi\) |
0.999557 | − | 0.0297630i | \(-0.00947526\pi\) | |||||||
\(618\) | −8.16085 | − | 15.8835i | −0.328278 | − | 0.638929i | ||||
\(619\) | −12.3160 | − | 7.11067i | −0.495023 | − | 0.285802i | 0.231633 | − | 0.972803i | \(-0.425593\pi\) |
−0.726656 | + | 0.687001i | \(0.758927\pi\) | |||||||
\(620\) | −26.2985 | + | 7.44975i | −1.05617 | + | 0.299189i | ||||
\(621\) | −1.10985 | − | 3.59803i | −0.0445366 | − | 0.144384i | ||||
\(622\) | 12.5730 | + | 29.7527i | 0.504132 | + | 1.19298i | ||||
\(623\) | 7.88750 | + | 27.0281i | 0.316006 | + | 1.08286i | ||||
\(624\) | 14.7364 | + | 11.0801i | 0.589928 | + | 0.443559i | ||||
\(625\) | 30.8297 | + | 4.64683i | 1.23319 | + | 0.185873i | ||||
\(626\) | −20.8252 | − | 34.0109i | −0.832341 | − | 1.35935i | ||||
\(627\) | −7.77196 | + | 8.37618i | −0.310382 | + | 0.334512i | ||||
\(628\) | −21.2696 | + | 25.4399i | −0.848751 | + | 1.01516i | ||||
\(629\) | −33.7827 | + | 7.71067i | −1.34700 | + | 0.307445i | ||||
\(630\) | 4.55486 | − | 8.08533i | 0.181470 | − | 0.322127i | ||||
\(631\) | 0.638375 | − | 2.79690i | 0.0254133 | − | 0.111343i | −0.960630 | − | 0.277829i | \(-0.910385\pi\) |
0.986044 | + | 0.166486i | \(0.0532422\pi\) | |||||||
\(632\) | 15.1698 | + | 22.1229i | 0.603422 | + | 0.880004i | ||||
\(633\) | 3.28082 | − | 0.494504i | 0.130401 | − | 0.0196548i | ||||
\(634\) | 19.1991 | + | 6.96857i | 0.762494 | + | 0.276757i | ||||
\(635\) | −10.4813 | + | 0.785464i | −0.415937 | + | 0.0311702i | ||||
\(636\) | 31.7987 | + | 3.12481i | 1.26090 | + | 0.123907i | ||||
\(637\) | 21.4937 | + | 5.60094i | 0.851610 | + | 0.221917i | ||||
\(638\) | −0.355062 | + | 7.24375i | −0.0140570 | + | 0.286783i | ||||
\(639\) | −1.10401 | − | 14.7320i | −0.0436739 | − | 0.582787i | ||||
\(640\) | −25.2545 | − | 18.8832i | −0.998271 | − | 0.746425i | ||||
\(641\) | −19.4689 | + | 2.93446i | −0.768975 | + | 0.115904i | −0.521802 | − | 0.853067i | \(-0.674740\pi\) |
−0.247174 | + | 0.968971i | \(0.579502\pi\) | |||||||
\(642\) | −14.7250 | − | 17.5169i | −0.581150 | − | 0.691338i | ||||
\(643\) | −33.2971 | − | 7.59986i | −1.31311 | − | 0.299709i | −0.492059 | − | 0.870562i | \(-0.663755\pi\) |
−0.821052 | + | 0.570853i | \(0.806613\pi\) | |||||||
\(644\) | −2.98751 | + | 1.87296i | −0.117724 | + | 0.0738048i | ||||
\(645\) | 18.0568 | − | 4.12135i | 0.710986 | − | 0.162278i | ||||
\(646\) | 19.6883 | + | 14.8858i | 0.774626 | + | 0.585673i | ||||
\(647\) | −31.3117 | − | 29.0530i | −1.23099 | − | 1.14219i | −0.984933 | − | 0.172938i | \(-0.944674\pi\) |
−0.246058 | − | 0.969255i | \(-0.579135\pi\) | |||||||
\(648\) | 6.83466 | + | 14.0960i | 0.268491 | + | 0.553742i | ||||
\(649\) | −26.6288 | − | 4.01364i | −1.04527 | − | 0.157549i | ||||
\(650\) | −10.9156 | − | 5.93176i | −0.428147 | − | 0.232663i | ||||
\(651\) | −1.12140 | − | 18.8117i | −0.0439511 | − | 0.737290i | ||||
\(652\) | 13.3952 | + | 36.6003i | 0.524597 | + | 1.43338i | ||||
\(653\) | 3.45998 | + | 11.2170i | 0.135399 | + | 0.438954i | 0.997726 | − | 0.0673983i | \(-0.0214698\pi\) |
−0.862327 | + | 0.506352i | \(0.830994\pi\) | |||||||
\(654\) | −0.434680 | + | 0.146475i | −0.0169973 | + | 0.00572763i | ||||
\(655\) | 4.54988 | − | 7.88062i | 0.177779 | − | 0.307921i | ||||
\(656\) | 13.4329 | + | 39.5148i | 0.524467 | + | 1.54279i | ||||
\(657\) | 5.56628 | − | 6.97989i | 0.217161 | − | 0.272312i | ||||
\(658\) | 1.62290 | − | 2.43524i | 0.0632674 | − | 0.0949357i | ||||
\(659\) | −6.52427 | + | 5.20293i | −0.254149 | + | 0.202677i | −0.742274 | − | 0.670097i | \(-0.766253\pi\) |
0.488124 | + | 0.872774i | \(0.337681\pi\) | |||||||
\(660\) | −16.0948 | − | 8.21518i | −0.626488 | − | 0.319775i | ||||
\(661\) | −25.9002 | − | 1.94095i | −1.00740 | − | 0.0754942i | −0.439204 | − | 0.898387i | \(-0.644740\pi\) |
−0.568196 | + | 0.822893i | \(0.692359\pi\) | |||||||
\(662\) | −5.01561 | + | 40.3142i | −0.194937 | + | 1.56686i | ||||
\(663\) | 8.33789 | − | 21.2446i | 0.323817 | − | 0.825072i | ||||
\(664\) | −6.91187 | − | 11.8983i | −0.268233 | − | 0.461743i | ||||
\(665\) | 14.3133 | + | 21.6977i | 0.555044 | + | 0.841402i | ||||
\(666\) | −5.82164 | + | 6.60856i | −0.225584 | + | 0.256076i | ||||
\(667\) | 1.32619 | − | 0.765675i | 0.0513502 | − | 0.0296470i | ||||
\(668\) | −7.59009 | + | 10.5969i | −0.293669 | + | 0.410006i | ||||
\(669\) | 12.6125 | − | 4.95003i | 0.487627 | − | 0.191379i | ||||
\(670\) | −5.62462 | − | 22.0074i | −0.217298 | − | 0.850220i | ||||
\(671\) | 13.0979 | − | 6.30763i | 0.505640 | − | 0.243504i | ||||
\(672\) | 16.4556 | − | 14.2087i | 0.634788 | − | 0.548111i | ||||
\(673\) | −4.35372 | − | 2.09664i | −0.167824 | − | 0.0808196i | 0.348086 | − | 0.937463i | \(-0.386832\pi\) |
−0.515910 | + | 0.856643i | \(0.672546\pi\) | |||||||
\(674\) | −2.84150 | + | 14.1207i | −0.109450 | + | 0.543911i | ||||
\(675\) | −8.81224 | − | 12.9252i | −0.339183 | − | 0.497491i | ||||
\(676\) | 3.88751 | + | 4.38932i | 0.149520 | + | 0.168820i | ||||
\(677\) | 3.69222 | − | 5.41549i | 0.141903 | − | 0.208134i | −0.748707 | − | 0.662901i | \(-0.769325\pi\) |
0.890611 | + | 0.454767i | \(0.150277\pi\) | |||||||
\(678\) | 5.46281 | + | 30.8208i | 0.209798 | + | 1.18367i | ||||
\(679\) | −24.4252 | − | 20.0957i | −0.937354 | − | 0.771204i | ||||
\(680\) | −14.1635 | + | 36.3731i | −0.543145 | + | 1.39484i | ||||
\(681\) | −1.23438 | + | 1.14534i | −0.0473017 | + | 0.0438896i | ||||
\(682\) | 15.3962 | − | 1.55446i | 0.589551 | − | 0.0595232i | ||||
\(683\) | 0.241057 | − | 0.781488i | 0.00922380 | − | 0.0299028i | −0.950844 | − | 0.309671i | \(-0.899781\pi\) |
0.960068 | + | 0.279768i | \(0.0902574\pi\) | |||||||
\(684\) | 6.27161 | + | 0.145241i | 0.239801 | + | 0.00555342i | ||||
\(685\) | − | 26.6318i | − | 1.01755i | ||||||
\(686\) | 11.8327 | − | 23.3664i | 0.451773 | − | 0.892133i | ||||
\(687\) | −27.9761 | −1.06735 | ||||||||
\(688\) | −18.1640 | − | 2.21063i | −0.692496 | − | 0.0842795i | ||||
\(689\) | −33.3466 | − | 10.2861i | −1.27041 | − | 0.391868i | ||||
\(690\) | 0.383278 | + | 3.79620i | 0.0145911 | + | 0.144519i | ||||
\(691\) | 13.2302 | + | 14.2587i | 0.503300 | + | 0.542428i | 0.932684 | − | 0.360694i | \(-0.117460\pi\) |
−0.429385 | + | 0.903122i | \(0.641270\pi\) | |||||||
\(692\) | −0.312237 | − | 0.104288i | −0.0118695 | − | 0.00396445i | ||||
\(693\) | −3.33799 | + | 4.05714i | −0.126800 | + | 0.154118i | ||||
\(694\) | −8.08945 | − | 45.6401i | −0.307071 | − | 1.73248i | ||||
\(695\) | 27.9112 | + | 19.0296i | 1.05873 | + | 0.721833i | ||||
\(696\) | −7.36631 | + | 5.90666i | −0.279219 | + | 0.223892i | ||||
\(697\) | 42.6850 | − | 29.1021i | 1.61681 | − | 1.10232i | ||||
\(698\) | −12.8645 | − | 2.58870i | −0.486928 | − | 0.0979838i | ||||
\(699\) | −7.97122 | + | 16.5524i | −0.301499 | + | 0.626070i | ||||
\(700\) | −9.56688 | + | 11.0942i | −0.361594 | + | 0.419320i | ||||
\(701\) | −6.17679 | − | 12.8262i | −0.233294 | − | 0.484441i | 0.751151 | − | 0.660130i | \(-0.229499\pi\) |
−0.984446 | + | 0.175689i | \(0.943785\pi\) | |||||||
\(702\) | −6.27867 | − | 24.5665i | −0.236973 | − | 0.927202i | ||||
\(703\) | −9.01247 | − | 22.9634i | −0.339912 | − | 0.866081i | ||||
\(704\) | 12.2124 | + | 13.0218i | 0.460272 | + | 0.490776i | ||||
\(705\) | −1.58334 | − | 2.74243i | −0.0596321 | − | 0.103286i | ||||
\(706\) | −15.3863 | − | 13.5542i | −0.579071 | − | 0.510118i | ||||
\(707\) | −13.4311 | + | 8.86004i | −0.505129 | + | 0.333216i | ||||
\(708\) | −19.0739 | − | 29.4172i | −0.716840 | − | 1.10556i | ||||
\(709\) | 0.999002 | + | 0.392080i | 0.0375183 | + | 0.0147249i | 0.384026 | − | 0.923322i | \(-0.374537\pi\) |
−0.346508 | + | 0.938047i | \(0.612633\pi\) | |||||||
\(710\) | −8.07926 | + | 64.9391i | −0.303209 | + | 2.43712i | ||||
\(711\) | 0.630665 | − | 8.41564i | 0.0236518 | − | 0.315611i | ||||
\(712\) | −26.1070 | − | 14.9801i | −0.978400 | − | 0.561404i | ||||
\(713\) | −2.03721 | − | 2.55457i | −0.0762939 | − | 0.0956696i | ||||
\(714\) | −22.3945 | − | 14.9242i | −0.838094 | − | 0.558525i | ||||
\(715\) | 15.4300 | + | 12.3051i | 0.577051 | + | 0.460183i | ||||
\(716\) | 8.38113 | − | 3.79967i | 0.313218 | − | 0.142000i | ||||
\(717\) | 28.6860 | + | 16.5619i | 1.07130 | + | 0.618514i | ||||
\(718\) | −36.1235 | + | 12.1726i | −1.34812 | + | 0.454278i | ||||
\(719\) | −7.47016 | + | 2.30424i | −0.278590 | + | 0.0859336i | −0.430902 | − | 0.902399i | \(-0.641804\pi\) |
0.152312 | + | 0.988333i | \(0.451328\pi\) | |||||||
\(720\) | 2.48222 | + | 9.60524i | 0.0925068 | + | 0.357966i | ||||
\(721\) | 22.9575 | − | 1.36854i | 0.854982 | − | 0.0509670i | ||||
\(722\) | 4.43979 | − | 8.17012i | 0.165232 | − | 0.304060i | ||||
\(723\) | 1.60325 | − | 10.6369i | 0.0596257 | − | 0.395591i | ||||
\(724\) | −6.50324 | − | 11.8915i | −0.241691 | − | 0.441945i | ||||
\(725\) | 4.32736 | − | 4.66379i | 0.160714 | − | 0.173209i | ||||
\(726\) | −9.86513 | − | 7.45874i | −0.366129 | − | 0.276820i | ||||
\(727\) | −1.62864 | − | 7.13554i | −0.0604029 | − | 0.264643i | 0.935705 | − | 0.352783i | \(-0.114765\pi\) |
−0.996108 | + | 0.0881406i | \(0.971908\pi\) | |||||||
\(728\) | −20.7116 | + | 11.6127i | −0.767624 | + | 0.430394i | ||||
\(729\) | 6.57617 | − | 28.8121i | 0.243562 | − | 1.06711i | ||||
\(730\) | −30.2712 | + | 25.4465i | −1.12039 | + | 0.941817i | ||||
\(731\) | 3.37580 | + | 22.3970i | 0.124858 | + | 0.828381i | ||||
\(732\) | 17.4534 | + | 7.32070i | 0.645098 | + | 0.270581i | ||||
\(733\) | 15.4752 | − | 1.15971i | 0.571589 | − | 0.0428347i | 0.214199 | − | 0.976790i | \(-0.431286\pi\) |
0.357390 | + | 0.933955i | \(0.383667\pi\) | |||||||
\(734\) | −0.529000 | + | 10.7923i | −0.0195257 | + | 0.398352i | ||||
\(735\) | −16.9863 | − | 22.6871i | −0.626549 | − | 0.836827i | ||||
\(736\) | 0.913903 | − | 3.65706i | 0.0336869 | − | 0.134801i | ||||
\(737\) | 0.961012 | + | 12.8238i | 0.0353993 | + | 0.472371i | ||||
\(738\) | 4.47990 | − | 12.3426i | 0.164907 | − | 0.454337i | ||||
\(739\) | −1.53018 | − | 10.1521i | −0.0562888 | − | 0.373452i | −0.999185 | − | 0.0403649i | \(-0.987148\pi\) |
0.942896 | − | 0.333087i | \(-0.108090\pi\) | |||||||
\(740\) | 31.0556 | − | 23.6108i | 1.14163 | − | 0.867950i | ||||
\(741\) | 15.8400 | + | 3.61537i | 0.581896 | + | 0.132814i | ||||
\(742\) | −20.1976 | + | 35.8526i | −0.741476 | + | 1.31619i | ||||
\(743\) | −1.20942 | − | 5.29883i | −0.0443694 | − | 0.194395i | 0.947886 | − | 0.318610i | \(-0.103216\pi\) |
−0.992255 | + | 0.124215i | \(0.960359\pi\) | |||||||
\(744\) | 14.8048 | + | 13.6635i | 0.542770 | + | 0.500928i | ||||
\(745\) | 32.2587 | + | 29.9317i | 1.18187 | + | 1.09661i | ||||
\(746\) | 23.4799 | − | 14.3770i | 0.859661 | − | 0.526379i | ||||
\(747\) | −0.645219 | + | 4.28075i | −0.0236073 | + | 0.156624i | ||||
\(748\) | 11.4893 | − | 18.8768i | 0.420091 | − | 0.690205i | ||||
\(749\) | 28.2917 | − | 8.25625i | 1.03376 | − | 0.301677i | ||||
\(750\) | −4.97363 | − | 11.7696i | −0.181611 | − | 0.429764i | ||||
\(751\) | 11.1589 | − | 3.44206i | 0.407194 | − | 0.125603i | −0.0843903 | − | 0.996433i | \(-0.526894\pi\) |
0.491584 | + | 0.870830i | \(0.336418\pi\) | |||||||
\(752\) | 0.554222 | + | 3.07905i | 0.0202104 | + | 0.112281i | ||||
\(753\) | 1.77108 | − | 3.06760i | 0.0645418 | − | 0.111790i | ||||
\(754\) | 9.17244 | − | 4.71275i | 0.334041 | − | 0.171628i | ||||
\(755\) | 24.2642 | + | 19.3501i | 0.883065 | + | 0.704221i | ||||
\(756\) | −29.8800 | + | 1.08772i | −1.08673 | + | 0.0395601i | ||||
\(757\) | −11.6910 | + | 9.32329i | −0.424918 | + | 0.338861i | −0.812486 | − | 0.582980i | \(-0.801887\pi\) |
0.387568 | + | 0.921841i | \(0.373315\pi\) | |||||||
\(758\) | −8.85212 | + | 19.6650i | −0.321524 | + | 0.714263i | ||||
\(759\) | 0.161425 | − | 2.15407i | 0.00585936 | − | 0.0781878i | ||||
\(760\) | −27.1079 | − | 6.11114i | −0.983307 | − | 0.221674i | ||||
\(761\) | 5.37135 | − | 13.6860i | 0.194711 | − | 0.496116i | −0.799858 | − | 0.600189i | \(-0.795092\pi\) |
0.994570 | + | 0.104073i | \(0.0331874\pi\) | |||||||
\(762\) | 4.52786 | + | 6.28607i | 0.164027 | + | 0.227720i | ||||
\(763\) | 0.0531299 | − | 0.588354i | 0.00192343 | − | 0.0212998i | ||||
\(764\) | −19.3524 | + | 19.9118i | −0.700145 | + | 0.720383i | ||||
\(765\) | 10.6351 | − | 6.14015i | 0.384511 | − | 0.221998i | ||||
\(766\) | 1.52819 | + | 0.985086i | 0.0552158 | + | 0.0355926i | ||||
\(767\) | 13.9894 | + | 35.6444i | 0.505127 | + | 1.28704i | ||||
\(768\) | −2.14955 | + | 23.1425i | −0.0775651 | + | 0.835084i | ||||
\(769\) | −9.70393 | + | 4.67317i | −0.349933 | + | 0.168519i | −0.600590 | − | 0.799557i | \(-0.705068\pi\) |
0.250657 | + | 0.968076i | \(0.419353\pi\) | |||||||
\(770\) | 18.0407 | − | 14.7015i | 0.650143 | − | 0.529804i | ||||
\(771\) | −14.1091 | + | 29.2979i | −0.508128 | + | 1.05514i | ||||
\(772\) | 33.1869 | + | 8.38759i | 1.19442 | + | 0.301876i | ||||
\(773\) | −11.0146 | − | 16.1555i | −0.396168 | − | 0.581071i | 0.575388 | − | 0.817880i | \(-0.304851\pi\) |
−0.971556 | + | 0.236809i | \(0.923899\pi\) | |||||||
\(774\) | 4.02324 | + | 4.11749i | 0.144612 | + | 0.148000i | ||||
\(775\) | −11.2161 | − | 7.64699i | −0.402893 | − | 0.274688i | ||||
\(776\) | 33.7120 | − | 2.61685i | 1.21019 | − | 0.0939394i | ||||
\(777\) | 11.2991 | + | 24.4086i | 0.405351 | + | 0.875653i | ||||
\(778\) | −13.1764 | + | 46.9919i | −0.472396 | + | 1.68474i | ||||
\(779\) | 25.0157 | + | 26.9605i | 0.896281 | + | 0.965962i | ||||
\(780\) | 1.32639 | + | 25.6598i | 0.0474925 | + | 0.918769i | ||||
\(781\) | 10.9201 | − | 35.4021i | 0.390752 | − | 1.26679i | ||||
\(782\) | −4.66450 | + | 0.120477i | −0.166802 | + | 0.00430825i | ||||
\(783\) | 12.9853 | 0.464057 | ||||||||
\(784\) | 8.19892 | + | 26.7727i | 0.292819 | + | 0.956168i | ||||
\(785\) | −46.2118 | −1.64937 | ||||||||
\(786\) | −6.70484 | + | 0.173176i | −0.239154 | + | 0.00617698i | ||||
\(787\) | −8.59420 | + | 27.8617i | −0.306350 | + | 0.993162i | 0.663236 | + | 0.748410i | \(0.269183\pi\) |
−0.969586 | + | 0.244752i | \(0.921294\pi\) | |||||||
\(788\) | 0.348082 | + | 6.73383i | 0.0123999 | + | 0.239883i | ||||
\(789\) | 28.5720 | + | 30.7933i | 1.01719 | + | 1.09627i | ||||
\(790\) | −10.0927 | + | 35.9943i | −0.359081 | + | 1.28062i | ||||
\(791\) | −39.1602 | − | 9.56897i | −1.39238 | − | 0.340233i | ||||
\(792\) | −0.434670 | − | 5.59972i | −0.0154453 | − | 0.198977i | ||||
\(793\) | −17.0793 | − | 11.6445i | −0.606503 | − | 0.413507i | ||||
\(794\) | −36.1866 | − | 37.0343i | −1.28421 | − | 1.31430i | ||||
\(795\) | 25.0836 | + | 36.7908i | 0.889622 | + | 1.30484i | ||||
\(796\) | −10.9000 | − | 2.75484i | −0.386340 | − | 0.0976427i | ||||
\(797\) | 22.7614 | − | 47.2646i | 0.806252 | − | 1.67420i | 0.0699452 | − | 0.997551i | \(-0.477718\pi\) |
0.736307 | − | 0.676648i | \(-0.236568\pi\) | |||||||
\(798\) | 8.12987 | − | 17.3483i | 0.287794 | − | 0.614124i | ||||
\(799\) | 3.48910 | − | 1.68026i | 0.123435 | − | 0.0594433i | ||||
\(800\) | −0.850187 | − | 15.6378i | −0.0300586 | − | 0.552880i | ||||
\(801\) | 3.45964 | + | 8.81501i | 0.122240 | + | 0.311463i | ||||
\(802\) | 30.1648 | + | 19.4445i | 1.06516 | + | 0.686609i | ||||
\(803\) | 19.3890 | − | 11.1942i | 0.684223 | − | 0.395036i | ||||
\(804\) | −11.6687 | + | 12.0059i | −0.411522 | + | 0.423417i | ||||
\(805\) | −4.67297 | − | 1.51988i | −0.164701 | − | 0.0535688i | ||||
\(806\) | −12.8602 | − | 17.8539i | −0.452980 | − | 0.628875i | ||||
\(807\) | −13.3620 | + | 34.0458i | −0.470364 | + | 1.19847i | ||||
\(808\) | 3.78286 | − | 16.7800i | 0.133080 | − | 0.590320i | ||||
\(809\) | −0.824346 | + | 11.0001i | −0.0289825 | + | 0.386744i | 0.963784 | + | 0.266684i | \(0.0859279\pi\) |
−0.992767 | + | 0.120060i | \(0.961691\pi\) | |||||||
\(810\) | −8.96131 | + | 19.9075i | −0.314868 | + | 0.699479i | ||||
\(811\) | 33.3929 | − | 26.6300i | 1.17258 | − | 0.935105i | 0.173819 | − | 0.984778i | \(-0.444389\pi\) |
0.998766 | + | 0.0496729i | \(0.0158179\pi\) | |||||||
\(812\) | −3.13540 | − | 11.7491i | −0.110031 | − | 0.412311i | ||||
\(813\) | −31.1879 | − | 24.8715i | −1.09381 | − | 0.872283i | ||||
\(814\) | −19.6449 | + | 10.0934i | −0.688554 | + | 0.353775i | ||||
\(815\) | −27.1575 | + | 47.0381i | −0.951284 | + | 1.64767i | ||||
\(816\) | 28.3149 | − | 5.09663i | 0.991221 | − | 0.178418i | ||||
\(817\) | −15.4083 | + | 4.75284i | −0.539069 | + | 0.166281i | ||||
\(818\) | −7.35172 | − | 17.3971i | −0.257047 | − | 0.608275i | ||||
\(819\) | 7.36915 | + | 1.22599i | 0.257499 | + | 0.0428396i | ||||
\(820\) | −30.2397 | + | 49.6836i | −1.05602 | + | 1.73503i | ||||
\(821\) | −0.196620 | + | 1.30449i | −0.00686210 | + | 0.0455271i | −0.992000 | − | 0.126239i | \(-0.959709\pi\) |
0.985138 | + | 0.171766i | \(0.0549474\pi\) | |||||||
\(822\) | −16.7404 | + | 10.2503i | −0.583888 | + | 0.357520i | ||||
\(823\) | −2.79894 | − | 2.59704i | −0.0975650 | − | 0.0905271i | 0.629882 | − | 0.776690i | \(-0.283103\pi\) |
−0.727447 | + | 0.686163i | \(0.759294\pi\) | |||||||
\(824\) | −16.6747 | + | 18.0675i | −0.580890 | + | 0.629411i | ||||
\(825\) | −1.99699 | − | 8.74939i | −0.0695263 | − | 0.304615i | ||||
\(826\) | 44.5750 | − | 7.20098i | 1.55096 | − | 0.250554i | ||||
\(827\) | 3.03074 | + | 0.691748i | 0.105389 | + | 0.0240544i | 0.274890 | − | 0.961476i | \(-0.411358\pi\) |
−0.169501 | + | 0.985530i | \(0.554216\pi\) | |||||||
\(828\) | −0.944070 | + | 0.717752i | −0.0328087 | + | 0.0249436i | ||||
\(829\) | 1.71257 | + | 11.3621i | 0.0594799 | + | 0.394624i | 0.998685 | + | 0.0512668i | \(0.0163259\pi\) |
−0.939205 | + | 0.343357i | \(0.888436\pi\) | |||||||
\(830\) | 6.54262 | − | 18.0256i | 0.227098 | − | 0.625676i | ||||
\(831\) | −1.72913 | − | 23.0736i | −0.0599829 | − | 0.800416i | ||||
\(832\) | 7.35265 | − | 24.2963i | 0.254907 | − | 0.842323i | ||||
\(833\) | 29.2193 | − | 18.6415i | 1.01239 | − | 0.645888i | ||||
\(834\) | 1.21898 | − | 24.8689i | 0.0422098 | − | 0.861138i | ||||
\(835\) | −18.1144 | + | 1.35748i | −0.626873 | + | 0.0469777i | ||||
\(836\) | 14.5075 | + | 6.08507i | 0.501754 | + | 0.210457i | ||||
\(837\) | −4.12945 | − | 27.3971i | −0.142735 | − | 0.946983i | ||||
\(838\) | 26.6210 | − | 22.3781i | 0.919608 | − | 0.773038i | ||||
\(839\) | 3.67262 | − | 16.0908i | 0.126793 | − | 0.555517i | −0.871127 | − | 0.491057i | \(-0.836611\pi\) |
0.997920 | − | 0.0644593i | \(-0.0205323\pi\) | |||||||
\(840\) | 29.9007 | + | 4.89256i | 1.03167 | + | 0.168809i | ||||
\(841\) | −5.27795 | − | 23.1242i | −0.181998 | − | 0.797387i | ||||
\(842\) | −20.6966 | − | 15.6481i | −0.713252 | − | 0.539269i | ||||
\(843\) | 19.7179 | − | 21.2508i | 0.679120 | − | 0.731917i | ||||
\(844\) | −2.19184 | − | 4.00790i | −0.0754462 | − | 0.137958i | ||||
\(845\) | −1.21785 | + | 8.07990i | −0.0418953 | + | 0.277957i | ||||
\(846\) | 0.469961 | − | 0.864824i | 0.0161576 | − | 0.0297333i | ||||
\(847\) | 13.9138 | − | 7.75254i | 0.478085 | − | 0.266380i | ||||
\(848\) | −11.0069 | − | 42.5924i | −0.377977 | − | 1.46263i | ||||
\(849\) | 37.8730 | − | 11.6823i | 1.29980 | − | 0.400935i | ||||
\(850\) | −18.3707 | + | 6.19040i | −0.630108 | + | 0.212329i | ||||
\(851\) | 4.03869 | + | 2.33174i | 0.138445 | + | 0.0799310i | ||||
\(852\) | 43.9293 | − | 19.9158i | 1.50499 | − | 0.682304i | ||||
\(853\) | −36.7526 | − | 29.3092i | −1.25838 | − | 1.00353i | −0.999290 | − | 0.0376757i | \(-0.988005\pi\) |
−0.259094 | − | 0.965852i | \(-0.583424\pi\) | |||||||
\(854\) | −17.6922 | + | 16.7672i | −0.605415 | + | 0.573763i | ||||
\(855\) | 5.45083 | + | 6.83513i | 0.186415 | + | 0.233756i | ||||
\(856\) | −15.6805 | + | 27.3275i | −0.535947 | + | 0.934035i | ||||
\(857\) | −0.901437 | + | 12.0288i | −0.0307925 | + | 0.410897i | 0.960414 | + | 0.278576i | \(0.0898623\pi\) |
−0.991207 | + | 0.132322i | \(0.957757\pi\) | |||||||
\(858\) | 1.79592 | − | 14.4352i | 0.0613118 | − | 0.492809i | ||||
\(859\) | −13.3846 | − | 5.25307i | −0.456677 | − | 0.179232i | 0.125841 | − | 0.992050i | \(-0.459837\pi\) |
−0.582518 | + | 0.812818i | \(0.697932\pi\) | |||||||
\(860\) | −13.8731 | − | 21.3961i | −0.473068 | − | 0.729601i | ||||
\(861\) | −28.9763 | − | 27.7207i | −0.987510 | − | 0.944721i | ||||
\(862\) | 10.6761 | + | 9.40482i | 0.363629 | + | 0.320330i | ||||
\(863\) | 28.6591 | + | 49.6391i | 0.975568 | + | 1.68973i | 0.678046 | + | 0.735019i | \(0.262827\pi\) |
0.297522 | + | 0.954715i | \(0.403840\pi\) | |||||||
\(864\) | 22.2166 | − | 22.9812i | 0.755825 | − | 0.781836i | ||||
\(865\) | −0.167605 | − | 0.427051i | −0.00569875 | − | 0.0145202i | ||||
\(866\) | −9.37962 | − | 36.6995i | −0.318732 | − | 1.24710i | ||||
\(867\) | −4.73701 | − | 9.83651i | −0.160877 | − | 0.334065i | ||||
\(868\) | −23.7917 | + | 10.3516i | −0.807544 | + | 0.351355i | ||||
\(869\) | 9.18260 | − | 19.0679i | 0.311498 | − | 0.646833i | ||||
\(870\) | −12.8998 | − | 2.59581i | −0.437343 | − | 0.0880060i | ||||
\(871\) | 15.1081 | − | 10.3005i | 0.511918 | − | 0.349020i | ||||
\(872\) | 0.395072 | + | 0.492702i | 0.0133788 | + | 0.0166850i | ||||
\(873\) | −8.78958 | − | 5.99263i | −0.297482 | − | 0.202820i | ||||
\(874\) | −0.579735 | − | 3.27083i | −0.0196098 | − | 0.110637i | ||||
\(875\) | 16.4538 | + | 0.251081i | 0.556241 | + | 0.00848809i | ||||
\(876\) | 27.6463 | + | 9.23397i | 0.934083 | + | 0.311987i | ||||
\(877\) | −30.4975 | − | 32.8685i | −1.02983 | − | 1.10989i | −0.993872 | − | 0.110537i | \(-0.964743\pi\) |
−0.0359560 | − | 0.999353i | \(-0.511448\pi\) | |||||||
\(878\) | −1.05073 | − | 10.4071i | −0.0354606 | − | 0.351221i | ||||
\(879\) | −5.38903 | − | 1.66230i | −0.181768 | − | 0.0560679i | ||||
\(880\) | −3.00572 | + | 24.6969i | −0.101323 | + | 0.832533i | ||||
\(881\) | −41.6033 | −1.40165 | −0.700825 | − | 0.713333i | \(-0.747185\pi\) | ||||
−0.700825 | + | 0.713333i | \(0.747185\pi\) | |||||||
\(882\) | 3.25678 | − | 8.18496i | 0.109662 | − | 0.275602i | ||||
\(883\) | − | 22.7238i | − | 0.764716i | −0.924014 | − | 0.382358i | \(-0.875112\pi\) | ||
0.924014 | − | 0.382358i | \(-0.124888\pi\) | |||||||
\(884\) | −31.4134 | − | 0.727486i | −1.05655 | − | 0.0244680i | ||||
\(885\) | 14.4015 | − | 46.6885i | 0.484101 | − | 1.56942i | ||||
\(886\) | 7.94910 | − | 0.802569i | 0.267055 | − | 0.0269628i | ||||
\(887\) | 18.5941 | − | 17.2528i | 0.624328 | − | 0.579291i | −0.303255 | − | 0.952909i | \(-0.598073\pi\) |
0.927583 | + | 0.373618i | \(0.121883\pi\) | |||||||
\(888\) | −26.7944 | − | 10.4336i | −0.899160 | − | 0.350128i | ||||
\(889\) | −9.75986 | + | 2.07148i | −0.327335 | + | 0.0694751i | ||||
\(890\) | −7.32069 | − | 41.3029i | −0.245390 | − | 1.38447i | ||||
\(891\) | 6.96246 | − | 10.2121i | 0.233251 | − | 0.342117i | ||||
\(892\) | −12.3683 | − | 13.9648i | −0.414120 | − | 0.467576i | ||||
\(893\) | 1.55304 | + | 2.27789i | 0.0519705 | + | 0.0762268i | ||||
\(894\) | 6.39862 | − | 31.7978i | 0.214002 | − | 1.06348i | ||||
\(895\) | 11.5542 | + | 5.56422i | 0.386215 | + | 0.185991i | ||||
\(896\) | −26.1577 | − | 14.5526i | −0.873866 | − | 0.486167i | ||||
\(897\) | −2.76730 | + | 1.33266i | −0.0923975 | + | 0.0444963i | ||||
\(898\) | 1.64460 | + | 6.43480i | 0.0548809 | + | 0.214732i | ||||
\(899\) | 10.4893 | − | 4.11675i | 0.349838 | − | 0.137301i | ||||
\(900\) | −2.86903 | + | 4.00559i | −0.0956344 | + | 0.133520i | ||||
\(901\) | −47.1589 | + | 27.2272i | −1.57109 | + | 0.907069i | ||||
\(902\) | 21.7662 | − | 24.7084i | 0.724735 | − | 0.822699i | ||||
\(903\) | 16.4620 | − | 6.17269i | 0.547821 | − | 0.205414i | ||||
\(904\) | 37.2644 | − | 21.6474i | 1.23940 | − | 0.719982i | ||||
\(905\) | 6.90068 | − | 17.5826i | 0.229386 | − | 0.584467i | ||||
\(906\) | 2.82414 | − | 22.6997i | 0.0938258 | − | 0.754148i | ||||
\(907\) | −26.3703 | − | 1.97618i | −0.875613 | − | 0.0656181i | −0.370664 | − | 0.928767i | \(-0.620870\pi\) |
−0.504949 | + | 0.863149i | \(0.668489\pi\) | |||||||
\(908\) | 2.06496 | + | 1.05401i | 0.0685281 | + | 0.0349785i | ||||
\(909\) | −4.23101 | + | 3.37412i | −0.140334 | + | 0.111912i | ||||
\(910\) | −30.9296 | − | 11.7634i | −1.02531 | − | 0.389954i | ||||
\(911\) | −12.3907 | + | 15.5374i | −0.410522 | + | 0.514778i | −0.943510 | − | 0.331345i | \(-0.892498\pi\) |
0.532988 | + | 0.846123i | \(0.321069\pi\) | |||||||
\(912\) | 6.59215 | + | 19.3917i | 0.218288 | + | 0.642124i | ||||
\(913\) | −5.42821 | + | 9.40194i | −0.179648 | + | 0.311159i | ||||
\(914\) | 48.4970 | − | 16.3421i | 1.60414 | − | 0.540550i | ||||
\(915\) | 7.77448 | + | 25.2043i | 0.257016 | + | 0.833227i | ||||
\(916\) | 13.2382 | + | 36.1713i | 0.437403 | + | 1.19513i | ||||
\(917\) | 3.27812 | − | 7.99176i | 0.108253 | − | 0.263911i | ||||
\(918\) | −34.7650 | − | 18.8919i | −1.14741 | − | 0.623526i | ||||
\(919\) | −36.0590 | − | 5.43502i | −1.18948 | − | 0.179285i | −0.475668 | − | 0.879625i | \(-0.657793\pi\) |
−0.713809 | + | 0.700340i | \(0.753032\pi\) | |||||||
\(920\) | 4.72688 | − | 2.29190i | 0.155841 | − | 0.0755619i | ||||
\(921\) | −10.4479 | − | 9.69423i | −0.344270 | − | 0.319436i | ||||
\(922\) | 13.9784 | + | 10.5687i | 0.460355 | + | 0.348062i | ||||
\(923\) | −51.3582 | + | 11.7222i | −1.69047 | + | 0.385840i | ||||
\(924\) | −16.1848 | − | 5.68171i | −0.532440 | − | 0.186915i | ||||
\(925\) | 18.8891 | + | 4.31132i | 0.621071 | + | 0.141755i | ||||
\(926\) | −36.2051 | − | 43.0697i | −1.18977 | − | 1.41536i | ||||
\(927\) | 7.64867 | − | 1.15285i | 0.251215 | − | 0.0378646i | ||||
\(928\) | 11.1227 | + | 6.72916i | 0.365119 | + | 0.220896i | ||||
\(929\) | −1.58805 | − | 21.1911i | −0.0521022 | − | 0.695256i | −0.960701 | − | 0.277586i | \(-0.910466\pi\) |
0.908599 | − | 0.417670i | \(-0.137153\pi\) | |||||||
\(930\) | −1.37452 | + | 28.0422i | −0.0450724 | + | 0.919540i | ||||
\(931\) | 16.2231 | + | 18.5912i | 0.531691 | + | 0.609303i | ||||
\(932\) | 25.1732 | + | 2.47374i | 0.824575 | + | 0.0810299i | ||||
\(933\) | 33.0850 | − | 2.47938i | 1.08315 | − | 0.0811712i | ||||
\(934\) | 36.6023 | + | 13.2853i | 1.19766 | + | 0.434708i | ||||
\(935\) | 30.4523 | − | 4.58995i | 0.995898 | − | 0.150107i | ||||
\(936\) | −6.58650 | + | 4.51639i | −0.215287 | + | 0.147623i | ||||
\(937\) | 11.5868 | − | 50.7650i | 0.378524 | − | 1.65842i | −0.323471 | − | 0.946238i | \(-0.604850\pi\) |
0.701995 | − | 0.712182i | \(-0.252293\pi\) | |||||||
\(938\) | −8.08909 | − | 19.9872i | −0.264118 | − | 0.652605i | ||||
\(939\) | −39.9366 | + | 9.11526i | −1.30328 | + | 0.297465i | ||||
\(940\) | −2.79655 | + | 3.34487i | −0.0912136 | + | 0.109098i | ||||
\(941\) | −1.11550 | + | 1.20222i | −0.0363642 | + | 0.0391913i | −0.750972 | − | 0.660334i | \(-0.770415\pi\) |
0.714608 | + | 0.699525i | \(0.246605\pi\) | |||||||
\(942\) | 17.7864 | + | 29.0481i | 0.579512 | + | 0.946437i | ||||
\(943\) | −6.87512 | − | 1.03626i | −0.223885 | − | 0.0337452i | ||||
\(944\) | −29.0088 | + | 38.5814i | −0.944157 | + | 1.25572i | ||||
\(945\) | −27.8723 | − | 30.9740i | −0.906687 | − | 1.00758i | ||||
\(946\) | 5.61953 | + | 13.2980i | 0.182707 | + | 0.432357i | ||||
\(947\) | −12.8740 | − | 41.7363i | −0.418347 | − | 1.35625i | −0.882424 | − | 0.470454i | \(-0.844090\pi\) |
0.464077 | − | 0.885795i | \(-0.346386\pi\) | |||||||
\(948\) | 26.5100 | − | 7.50968i | 0.861005 | − | 0.243903i | ||||
\(949\) | −27.5694 | − | 15.9172i | −0.894939 | − | 0.516693i | ||||
\(950\) | −6.30699 | − | 12.2753i | −0.204626 | − | 0.398264i | ||||
\(951\) | 13.0805 | − | 16.4025i | 0.424165 | − | 0.531886i | ||||
\(952\) | −8.69908 | + | 36.0168i | −0.281939 | + | 1.16731i | ||||
\(953\) | 30.1458 | + | 37.8017i | 0.976519 | + | 1.22452i | 0.974470 | + | 0.224518i | \(0.0720808\pi\) |
0.00204901 | + | 0.999998i | \(0.499348\pi\) | |||||||
\(954\) | −5.68108 | + | 12.6205i | −0.183932 | + | 0.408604i | ||||
\(955\) | −38.5876 | − | 2.89174i | −1.24867 | − | 0.0935745i | ||||
\(956\) | 7.83932 | − | 44.9262i | 0.253542 | − | 1.45302i | ||||
\(957\) | 6.93453 | + | 2.72160i | 0.224162 | + | 0.0879769i | ||||
\(958\) | 0.680980 | − | 0.490511i | 0.0220015 | − | 0.0158477i | ||||
\(959\) | −3.38598 | − | 25.0525i | −0.109339 | − | 0.808988i | ||||
\(960\) | −26.6643 | + | 18.3886i | −0.860588 | + | 0.593491i | ||||
\(961\) | 3.47854 | + | 6.02502i | 0.112211 | + | 0.194355i | ||||
\(962\) | 26.3957 | + | 17.0149i | 0.851033 | + | 0.548583i | ||||
\(963\) | 9.22712 | − | 3.62138i | 0.297340 | − | 0.116697i | ||||
\(964\) | −14.5115 | + | 2.96044i | −0.467384 | + | 0.0953495i | ||||
\(965\) | 20.6978 | + | 42.9794i | 0.666286 | + | 1.38356i | ||||
\(966\) | 0.843198 | + | 3.52235i | 0.0271295 | + | 0.113330i | ||||
\(967\) | 43.0701 | + | 20.7415i | 1.38504 | + | 0.667000i | 0.970068 | − | 0.242834i | \(-0.0780770\pi\) |
0.414972 | + | 0.909834i | \(0.363791\pi\) | |||||||
\(968\) | −4.97554 | + | 16.2844i | −0.159920 | + | 0.523402i | ||||
\(969\) | 20.9475 | − | 14.2818i | 0.672931 | − | 0.458796i | ||||
\(970\) | 32.9326 | + | 33.7041i | 1.05740 | + | 1.08217i | ||||
\(971\) | −13.1865 | + | 19.3410i | −0.423174 | + | 0.620683i | −0.977328 | − | 0.211732i | \(-0.932090\pi\) |
0.554153 | + | 0.832415i | \(0.313042\pi\) | |||||||
\(972\) | −17.6699 | + | 2.24626i | −0.566761 | + | 0.0720487i | ||||
\(973\) | 28.6755 | + | 14.3524i | 0.919293 | + | 0.460118i | ||||
\(974\) | 38.8458 | + | 10.8922i | 1.24470 | + | 0.349009i | ||||
\(975\) | −9.35430 | + | 8.67952i | −0.299577 | + | 0.277967i | ||||
\(976\) | 1.20629 | − | 26.0303i | 0.0386125 | − | 0.833211i | ||||
\(977\) | −19.9882 | − | 6.16555i | −0.639479 | − | 0.197253i | −0.0419747 | − | 0.999119i | \(-0.513365\pi\) |
−0.597505 | + | 0.801865i | \(0.703841\pi\) | |||||||
\(978\) | 40.0201 | − | 1.03366i | 1.27970 | − | 0.0330527i | ||||
\(979\) | 23.7477i | 0.758979i | ||||||||
\(980\) | −21.2951 | + | 32.6977i | −0.680249 | + | 1.04449i | ||||
\(981\) | − | 0.198688i | − | 0.00634361i | ||||||
\(982\) | −1.35966 | − | 52.6417i | −0.0433883 | − | 1.67986i | ||||
\(983\) | −27.9550 | − | 8.62297i | −0.891626 | − | 0.275030i | −0.185102 | − | 0.982719i | \(-0.559262\pi\) |
−0.706524 | + | 0.707689i | \(0.749738\pi\) | |||||||
\(984\) | 42.8693 | − | 0.114394i | 1.36662 | − | 0.00364676i | ||||
\(985\) | −6.88834 | + | 6.39145i | −0.219481 | + | 0.203648i | ||||
\(986\) | 4.34449 | − | 15.4941i | 0.138357 | − | 0.493432i | ||||
\(987\) | −1.83812 | − | 2.37849i | −0.0585080 | − | 0.0757082i | ||||
\(988\) | −2.82099 | − | 22.1909i | −0.0897475 | − | 0.705986i | ||||
\(989\) | 1.71716 | − | 2.51861i | 0.0546026 | − | 0.0800872i | ||||
\(990\) | 5.59840 | − | 5.47025i | 0.177929 | − | 0.173856i | ||||
\(991\) | −44.7666 | + | 30.5213i | −1.42206 | + | 0.969542i | −0.424102 | + | 0.905614i | \(0.639410\pi\) |
−0.997955 | + | 0.0639274i | \(0.979637\pi\) | |||||||
\(992\) | 10.6605 | − | 25.6072i | 0.338470 | − | 0.813029i | ||||
\(993\) | 37.5963 | + | 18.1054i | 1.19308 | + | 0.574558i | ||||
\(994\) | 0.656223 | + | 62.1152i | 0.0208141 | + | 1.97018i | ||||
\(995\) | −6.79803 | − | 14.1163i | −0.215512 | − | 0.447515i | ||||
\(996\) | −13.8488 | + | 2.82524i | −0.438815 | + | 0.0895213i | ||||
\(997\) | −4.32037 | + | 1.69562i | −0.136828 | + | 0.0537009i | −0.432767 | − | 0.901506i | \(-0.642463\pi\) |
0.295939 | + | 0.955207i | \(0.404367\pi\) | |||||||
\(998\) | −1.39083 | + | 2.15764i | −0.0440260 | + | 0.0682988i | ||||
\(999\) | 19.7723 | + | 34.2467i | 0.625569 | + | 1.08352i |
(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 | 392.2.z.a.277.2 | ✓ | 648 | |
8.5 | even | 2 | inner | 392.2.z.a.277.54 | yes | 648 | |
49.23 | even | 21 | inner | 392.2.z.a.317.54 | yes | 648 | |
392.317 | even | 42 | inner | 392.2.z.a.317.2 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
392.2.z.a.277.2 | ✓ | 648 | 1.1 | even | 1 | trivial | |
392.2.z.a.277.54 | yes | 648 | 8.5 | even | 2 | inner | |
392.2.z.a.317.2 | yes | 648 | 392.317 | even | 42 | inner | |
392.2.z.a.317.54 | yes | 648 | 49.23 | even | 21 | inner |