Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(119,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.119");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.r (of order \(6\), degree \(2\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 119.13 | ||
Character | \(\chi\) | \(=\) | 930.119 |
Dual form | 930.2.r.b.719.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | −0.681795 | − | 1.59222i | −0.393635 | − | 0.919267i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 1.27870 | + | 1.83437i | 0.571853 | + | 0.820356i | ||||
\(6\) | −0.681795 | − | 1.59222i | −0.278342 | − | 0.650020i | ||||
\(7\) | 1.56394 | + | 0.902941i | 0.591113 | + | 0.341279i | 0.765538 | − | 0.643391i | \(-0.222473\pi\) |
−0.174424 | + | 0.984671i | \(0.555806\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −2.07031 | + | 2.17113i | −0.690103 | + | 0.723711i | ||||
\(10\) | 1.27870 | + | 1.83437i | 0.404361 | + | 0.580079i | ||||
\(11\) | 1.36676 | + | 2.36730i | 0.412095 | + | 0.713769i | 0.995119 | − | 0.0986861i | \(-0.0314640\pi\) |
−0.583024 | + | 0.812455i | \(0.698131\pi\) | |||||||
\(12\) | −0.681795 | − | 1.59222i | −0.196817 | − | 0.459633i | ||||
\(13\) | −1.89509 | − | 3.28240i | −0.525604 | − | 0.910373i | −0.999555 | − | 0.0298216i | \(-0.990506\pi\) |
0.473951 | − | 0.880551i | \(-0.342827\pi\) | |||||||
\(14\) | 1.56394 | + | 0.902941i | 0.417980 | + | 0.241321i | ||||
\(15\) | 2.04891 | − | 3.28664i | 0.529025 | − | 0.848606i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 5.50887 | + | 3.18055i | 1.33610 | + | 0.771397i | 0.986226 | − | 0.165401i | \(-0.0528918\pi\) |
0.349872 | + | 0.936798i | \(0.386225\pi\) | |||||||
\(18\) | −2.07031 | + | 2.17113i | −0.487977 | + | 0.511741i | ||||
\(19\) | 0.217690 | − | 0.377051i | 0.0499416 | − | 0.0865013i | −0.839974 | − | 0.542627i | \(-0.817430\pi\) |
0.889916 | + | 0.456125i | \(0.150763\pi\) | |||||||
\(20\) | 1.27870 | + | 1.83437i | 0.285926 | + | 0.410178i | ||||
\(21\) | 0.371391 | − | 3.10575i | 0.0810441 | − | 0.677730i | ||||
\(22\) | 1.36676 | + | 2.36730i | 0.291395 | + | 0.504711i | ||||
\(23\) | 2.68202i | 0.559240i | 0.960111 | + | 0.279620i | \(0.0902085\pi\) | ||||
−0.960111 | + | 0.279620i | \(0.909791\pi\) | |||||||
\(24\) | −0.681795 | − | 1.59222i | −0.139171 | − | 0.325010i | ||||
\(25\) | −1.72984 | + | 4.69123i | −0.345969 | + | 0.938246i | ||||
\(26\) | −1.89509 | − | 3.28240i | −0.371658 | − | 0.643731i | ||||
\(27\) | 4.86844 | + | 1.81611i | 0.936932 | + | 0.349511i | ||||
\(28\) | 1.56394 | + | 0.902941i | 0.295557 | + | 0.170640i | ||||
\(29\) | −3.54035 | −0.657426 | −0.328713 | − | 0.944430i | \(-0.606615\pi\) | ||||
−0.328713 | + | 0.944430i | \(0.606615\pi\) | |||||||
\(30\) | 2.04891 | − | 3.28664i | 0.374077 | − | 0.600055i | ||||
\(31\) | −0.925384 | + | 5.49032i | −0.166204 | + | 0.986091i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 2.83741 | − | 3.79020i | 0.493929 | − | 0.659789i | ||||
\(34\) | 5.50887 | + | 3.18055i | 0.944764 | + | 0.545460i | ||||
\(35\) | 0.343482 | + | 4.02344i | 0.0580591 | + | 0.680085i | ||||
\(36\) | −2.07031 | + | 2.17113i | −0.345052 | + | 0.361855i | ||||
\(37\) | 5.35919 | − | 9.28239i | 0.881045 | − | 1.52602i | 0.0308649 | − | 0.999524i | \(-0.490174\pi\) |
0.850180 | − | 0.526492i | \(-0.176493\pi\) | |||||||
\(38\) | 0.217690 | − | 0.377051i | 0.0353140 | − | 0.0611657i | ||||
\(39\) | −3.93422 | + | 5.25532i | −0.629979 | + | 0.841525i | ||||
\(40\) | 1.27870 | + | 1.83437i | 0.202181 | + | 0.290040i | ||||
\(41\) | 2.25018 | − | 1.29914i | 0.351420 | − | 0.202892i | −0.313891 | − | 0.949459i | \(-0.601633\pi\) |
0.665310 | + | 0.746567i | \(0.268299\pi\) | |||||||
\(42\) | 0.371391 | − | 3.10575i | 0.0573068 | − | 0.479228i | ||||
\(43\) | 0.848315 | − | 1.46932i | 0.129367 | − | 0.224070i | −0.794065 | − | 0.607833i | \(-0.792039\pi\) |
0.923431 | + | 0.383763i | \(0.125372\pi\) | |||||||
\(44\) | 1.36676 | + | 2.36730i | 0.206047 | + | 0.356884i | ||||
\(45\) | −6.62997 | − | 1.02149i | −0.988338 | − | 0.152274i | ||||
\(46\) | 2.68202i | 0.395443i | ||||||||
\(47\) | 1.54613 | 0.225526 | 0.112763 | − | 0.993622i | \(-0.464030\pi\) | ||||
0.112763 | + | 0.993622i | \(0.464030\pi\) | |||||||
\(48\) | −0.681795 | − | 1.59222i | −0.0984087 | − | 0.229817i | ||||
\(49\) | −1.86940 | − | 3.23789i | −0.267057 | − | 0.462556i | ||||
\(50\) | −1.72984 | + | 4.69123i | −0.244637 | + | 0.663440i | ||||
\(51\) | 1.30820 | − | 10.9398i | 0.183185 | − | 1.53188i | ||||
\(52\) | −1.89509 | − | 3.28240i | −0.262802 | − | 0.455186i | ||||
\(53\) | 8.31697 | − | 4.80180i | 1.14242 | − | 0.659578i | 0.195394 | − | 0.980725i | \(-0.437401\pi\) |
0.947030 | + | 0.321146i | \(0.104068\pi\) | |||||||
\(54\) | 4.86844 | + | 1.81611i | 0.662511 | + | 0.247142i | ||||
\(55\) | −2.59483 | + | 5.53423i | −0.349887 | + | 0.746235i | ||||
\(56\) | 1.56394 | + | 0.902941i | 0.208990 | + | 0.120661i | ||||
\(57\) | −0.748767 | − | 0.0895387i | −0.0991766 | − | 0.0118597i | ||||
\(58\) | −3.54035 | −0.464871 | ||||||||
\(59\) | −10.8827 | − | 6.28315i | −1.41681 | − | 0.817997i | −0.420794 | − | 0.907156i | \(-0.638249\pi\) |
−0.996017 | + | 0.0891593i | \(0.971582\pi\) | |||||||
\(60\) | 2.04891 | − | 3.28664i | 0.264513 | − | 0.424303i | ||||
\(61\) | − | 3.25814i | − | 0.417163i | −0.978005 | − | 0.208581i | \(-0.933115\pi\) | ||
0.978005 | − | 0.208581i | \(-0.0668846\pi\) | |||||||
\(62\) | −0.925384 | + | 5.49032i | −0.117524 | + | 0.697272i | ||||
\(63\) | −5.19824 | + | 1.52615i | −0.654917 | + | 0.192277i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 3.59788 | − | 7.67351i | 0.446262 | − | 0.951782i | ||||
\(66\) | 2.83741 | − | 3.79020i | 0.349261 | − | 0.466541i | ||||
\(67\) | 7.83494 | − | 4.52350i | 0.957190 | − | 0.552634i | 0.0618830 | − | 0.998083i | \(-0.480289\pi\) |
0.895307 | + | 0.445449i | \(0.146956\pi\) | |||||||
\(68\) | 5.50887 | + | 3.18055i | 0.668049 | + | 0.385698i | ||||
\(69\) | 4.27036 | − | 1.82859i | 0.514091 | − | 0.220136i | ||||
\(70\) | 0.343482 | + | 4.02344i | 0.0410540 | + | 0.480893i | ||||
\(71\) | −5.72140 | + | 3.30325i | −0.679005 | + | 0.392024i | −0.799480 | − | 0.600692i | \(-0.794892\pi\) |
0.120475 | + | 0.992716i | \(0.461558\pi\) | |||||||
\(72\) | −2.07031 | + | 2.17113i | −0.243988 | + | 0.255870i | ||||
\(73\) | −3.73631 | − | 6.47149i | −0.437302 | − | 0.757430i | 0.560178 | − | 0.828372i | \(-0.310733\pi\) |
−0.997480 | + | 0.0709422i | \(0.977399\pi\) | |||||||
\(74\) | 5.35919 | − | 9.28239i | 0.622993 | − | 1.07906i | ||||
\(75\) | 8.64886 | − | 0.444174i | 0.998684 | − | 0.0512888i | ||||
\(76\) | 0.217690 | − | 0.377051i | 0.0249708 | − | 0.0432507i | ||||
\(77\) | 4.93642i | 0.562558i | ||||||||
\(78\) | −3.93422 | + | 5.25532i | −0.445463 | + | 0.595048i | ||||
\(79\) | 0.884726 | + | 0.510797i | 0.0995395 | + | 0.0574692i | 0.548943 | − | 0.835860i | \(-0.315030\pi\) |
−0.449404 | + | 0.893329i | \(0.648364\pi\) | |||||||
\(80\) | 1.27870 | + | 1.83437i | 0.142963 | + | 0.205089i | ||||
\(81\) | −0.427634 | − | 8.98983i | −0.0475149 | − | 0.998871i | ||||
\(82\) | 2.25018 | − | 1.29914i | 0.248491 | − | 0.143466i | ||||
\(83\) | −1.00160 | + | 0.578276i | −0.109940 | + | 0.0634740i | −0.553962 | − | 0.832542i | \(-0.686885\pi\) |
0.444022 | + | 0.896016i | \(0.353551\pi\) | |||||||
\(84\) | 0.371391 | − | 3.10575i | 0.0405221 | − | 0.338865i | ||||
\(85\) | 1.20989 | + | 14.1723i | 0.131232 | + | 1.53720i | ||||
\(86\) | 0.848315 | − | 1.46932i | 0.0914761 | − | 0.158441i | ||||
\(87\) | 2.41379 | + | 5.63700i | 0.258786 | + | 0.604350i | ||||
\(88\) | 1.36676 | + | 2.36730i | 0.145697 | + | 0.252355i | ||||
\(89\) | 2.32751 | 0.246715 | 0.123358 | − | 0.992362i | \(-0.460634\pi\) | ||||
0.123358 | + | 0.992362i | \(0.460634\pi\) | |||||||
\(90\) | −6.62997 | − | 1.02149i | −0.698861 | − | 0.107674i | ||||
\(91\) | − | 6.84462i | − | 0.717511i | ||||||
\(92\) | 2.68202i | 0.279620i | ||||||||
\(93\) | 9.37271 | − | 2.26987i | 0.971905 | − | 0.235374i | ||||
\(94\) | 1.54613 | 0.159471 | ||||||||
\(95\) | 0.970012 | − | 0.0828103i | 0.0995211 | − | 0.00849616i | ||||
\(96\) | −0.681795 | − | 1.59222i | −0.0695855 | − | 0.162505i | ||||
\(97\) | 11.8138i | 1.19951i | 0.800183 | + | 0.599755i | \(0.204735\pi\) | ||||
−0.800183 | + | 0.599755i | \(0.795265\pi\) | |||||||
\(98\) | −1.86940 | − | 3.23789i | −0.188838 | − | 0.327076i | ||||
\(99\) | −7.96935 | − | 1.93363i | −0.800950 | − | 0.194337i | ||||
\(100\) | −1.72984 | + | 4.69123i | −0.172984 | + | 0.469123i | ||||
\(101\) | 15.5501i | 1.54729i | 0.633620 | + | 0.773645i | \(0.281568\pi\) | ||||
−0.633620 | + | 0.773645i | \(0.718432\pi\) | |||||||
\(102\) | 1.30820 | − | 10.9398i | 0.129531 | − | 1.08320i | ||||
\(103\) | −14.1597 | + | 8.17508i | −1.39519 | + | 0.805515i | −0.993884 | − | 0.110428i | \(-0.964778\pi\) |
−0.401308 | + | 0.915943i | \(0.631444\pi\) | |||||||
\(104\) | −1.89509 | − | 3.28240i | −0.185829 | − | 0.321865i | ||||
\(105\) | 6.17200 | − | 3.29006i | 0.602326 | − | 0.321077i | ||||
\(106\) | 8.31697 | − | 4.80180i | 0.807815 | − | 0.466392i | ||||
\(107\) | −2.70745 | + | 4.68944i | −0.261739 | + | 0.453345i | −0.966704 | − | 0.255897i | \(-0.917629\pi\) |
0.704965 | + | 0.709242i | \(0.250963\pi\) | |||||||
\(108\) | 4.86844 | + | 1.81611i | 0.468466 | + | 0.174756i | ||||
\(109\) | −3.08751 | −0.295730 | −0.147865 | − | 0.989008i | \(-0.547240\pi\) | ||||
−0.147865 | + | 0.989008i | \(0.547240\pi\) | |||||||
\(110\) | −2.59483 | + | 5.53423i | −0.247408 | + | 0.527668i | ||||
\(111\) | −18.4334 | − | 2.20430i | −1.74963 | − | 0.209223i | ||||
\(112\) | 1.56394 | + | 0.902941i | 0.147778 | + | 0.0853199i | ||||
\(113\) | −5.84956 | − | 10.1317i | −0.550280 | − | 0.953113i | −0.998254 | − | 0.0590664i | \(-0.981188\pi\) |
0.447974 | − | 0.894047i | \(-0.352146\pi\) | |||||||
\(114\) | −0.748767 | − | 0.0895387i | −0.0701284 | − | 0.00838607i | ||||
\(115\) | −4.91983 | + | 3.42951i | −0.458776 | + | 0.319803i | ||||
\(116\) | −3.54035 | −0.328713 | ||||||||
\(117\) | 11.0499 | + | 2.68108i | 1.02157 | + | 0.247866i | ||||
\(118\) | −10.8827 | − | 6.28315i | −1.00184 | − | 0.578411i | ||||
\(119\) | 5.74370 | + | 9.94837i | 0.526524 | + | 0.911966i | ||||
\(120\) | 2.04891 | − | 3.28664i | 0.187039 | − | 0.300028i | ||||
\(121\) | 1.76392 | − | 3.05519i | 0.160356 | − | 0.277745i | ||||
\(122\) | − | 3.25814i | − | 0.294979i | ||||||
\(123\) | −3.60268 | − | 2.69703i | −0.324843 | − | 0.243183i | ||||
\(124\) | −0.925384 | + | 5.49032i | −0.0831019 | + | 0.493046i | ||||
\(125\) | −10.8174 | + | 2.82551i | −0.967539 | + | 0.252721i | ||||
\(126\) | −5.19824 | + | 1.52615i | −0.463096 | + | 0.135960i | ||||
\(127\) | 2.92334 | − | 5.06337i | 0.259404 | − | 0.449301i | −0.706678 | − | 0.707535i | \(-0.749807\pi\) |
0.966082 | + | 0.258234i | \(0.0831405\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −2.91786 | − | 0.348923i | −0.256903 | − | 0.0307209i | ||||
\(130\) | 3.59788 | − | 7.67351i | 0.315555 | − | 0.673011i | ||||
\(131\) | −13.3521 | − | 7.70881i | −1.16657 | − | 0.673522i | −0.213704 | − | 0.976899i | \(-0.568553\pi\) |
−0.952871 | + | 0.303376i | \(0.901886\pi\) | |||||||
\(132\) | 2.83741 | − | 3.79020i | 0.246965 | − | 0.329895i | ||||
\(133\) | 0.680908 | − | 0.393123i | 0.0590423 | − | 0.0340881i | ||||
\(134\) | 7.83494 | − | 4.52350i | 0.676836 | − | 0.390771i | ||||
\(135\) | 2.89386 | + | 11.2528i | 0.249064 | + | 0.968487i | ||||
\(136\) | 5.50887 | + | 3.18055i | 0.472382 | + | 0.272730i | ||||
\(137\) | −5.75226 | + | 3.32107i | −0.491448 | + | 0.283738i | −0.725175 | − | 0.688564i | \(-0.758241\pi\) |
0.233727 | + | 0.972302i | \(0.424908\pi\) | |||||||
\(138\) | 4.27036 | − | 1.82859i | 0.363517 | − | 0.155660i | ||||
\(139\) | 10.0512i | 0.852531i | 0.904598 | + | 0.426266i | \(0.140171\pi\) | ||||
−0.904598 | + | 0.426266i | \(0.859829\pi\) | |||||||
\(140\) | 0.343482 | + | 4.02344i | 0.0290296 | + | 0.340043i | ||||
\(141\) | −1.05414 | − | 2.46177i | −0.0887748 | − | 0.207318i | ||||
\(142\) | −5.72140 | + | 3.30325i | −0.480129 | + | 0.277203i | ||||
\(143\) | 5.18028 | − | 8.97251i | 0.433197 | − | 0.750319i | ||||
\(144\) | −2.07031 | + | 2.17113i | −0.172526 | + | 0.180928i | ||||
\(145\) | −4.52705 | − | 6.49432i | −0.375951 | − | 0.539324i | ||||
\(146\) | −3.73631 | − | 6.47149i | −0.309220 | − | 0.535584i | ||||
\(147\) | −3.88088 | + | 5.18406i | −0.320089 | + | 0.427574i | ||||
\(148\) | 5.35919 | − | 9.28239i | 0.440523 | − | 0.763008i | ||||
\(149\) | 6.45518 | + | 3.72690i | 0.528829 | + | 0.305320i | 0.740540 | − | 0.672013i | \(-0.234570\pi\) |
−0.211710 | + | 0.977332i | \(0.567903\pi\) | |||||||
\(150\) | 8.64886 | − | 0.444174i | 0.706176 | − | 0.0362667i | ||||
\(151\) | − | 18.6368i | − | 1.51664i | −0.651880 | − | 0.758322i | \(-0.726019\pi\) | ||
0.651880 | − | 0.758322i | \(-0.273981\pi\) | |||||||
\(152\) | 0.217690 | − | 0.377051i | 0.0176570 | − | 0.0305828i | ||||
\(153\) | −18.3105 | + | 5.37577i | −1.48031 | + | 0.434605i | ||||
\(154\) | 4.93642i | 0.397788i | ||||||||
\(155\) | −11.2546 | + | 5.32299i | −0.903990 | + | 0.427553i | ||||
\(156\) | −3.93422 | + | 5.25532i | −0.314990 | + | 0.420762i | ||||
\(157\) | − | 11.8145i | − | 0.942901i | −0.881893 | − | 0.471450i | \(-0.843731\pi\) | ||
0.881893 | − | 0.471450i | \(-0.156269\pi\) | |||||||
\(158\) | 0.884726 | + | 0.510797i | 0.0703851 | + | 0.0406368i | ||||
\(159\) | −13.3160 | − | 9.96857i | −1.05603 | − | 0.790559i | ||||
\(160\) | 1.27870 | + | 1.83437i | 0.101090 | + | 0.145020i | ||||
\(161\) | −2.42171 | + | 4.19452i | −0.190857 | + | 0.330574i | ||||
\(162\) | −0.427634 | − | 8.98983i | −0.0335981 | − | 0.706308i | ||||
\(163\) | 20.5432i | 1.60906i | 0.593909 | + | 0.804532i | \(0.297584\pi\) | ||||
−0.593909 | + | 0.804532i | \(0.702416\pi\) | |||||||
\(164\) | 2.25018 | − | 1.29914i | 0.175710 | − | 0.101446i | ||||
\(165\) | 10.5808 | + | 0.358326i | 0.823717 | + | 0.0278956i | ||||
\(166\) | −1.00160 | + | 0.578276i | −0.0777395 | + | 0.0448829i | ||||
\(167\) | −9.55459 | − | 5.51635i | −0.739356 | − | 0.426868i | 0.0824789 | − | 0.996593i | \(-0.473716\pi\) |
−0.821835 | + | 0.569725i | \(0.807050\pi\) | |||||||
\(168\) | 0.371391 | − | 3.10575i | 0.0286534 | − | 0.239614i | ||||
\(169\) | −0.682746 | + | 1.18255i | −0.0525189 | + | 0.0909654i | ||||
\(170\) | 1.20989 | + | 14.1723i | 0.0927947 | + | 1.08697i | ||||
\(171\) | 0.367941 | + | 1.25325i | 0.0281371 | + | 0.0958381i | ||||
\(172\) | 0.848315 | − | 1.46932i | 0.0646834 | − | 0.112035i | ||||
\(173\) | −13.0225 | − | 22.5556i | −0.990079 | − | 1.71487i | −0.616727 | − | 0.787177i | \(-0.711542\pi\) |
−0.373351 | − | 0.927690i | \(-0.621791\pi\) | |||||||
\(174\) | 2.41379 | + | 5.63700i | 0.182989 | + | 0.427340i | ||||
\(175\) | −6.94127 | + | 5.77485i | −0.524711 | + | 0.436538i | ||||
\(176\) | 1.36676 | + | 2.36730i | 0.103024 | + | 0.178442i | ||||
\(177\) | −2.58434 | + | 21.6115i | −0.194251 | + | 1.62442i | ||||
\(178\) | 2.32751 | 0.174454 | ||||||||
\(179\) | 2.35224 | − | 4.07419i | 0.175814 | − | 0.304519i | −0.764628 | − | 0.644471i | \(-0.777078\pi\) |
0.940443 | + | 0.339952i | \(0.110411\pi\) | |||||||
\(180\) | −6.62997 | − | 1.02149i | −0.494169 | − | 0.0761372i | ||||
\(181\) | −2.33559 | + | 1.34845i | −0.173603 | + | 0.100230i | −0.584284 | − | 0.811549i | \(-0.698624\pi\) |
0.410681 | + | 0.911779i | \(0.365291\pi\) | |||||||
\(182\) | − | 6.84462i | − | 0.507357i | ||||||
\(183\) | −5.18767 | + | 2.22139i | −0.383484 | + | 0.164210i | ||||
\(184\) | 2.68202i | 0.197721i | ||||||||
\(185\) | 23.8802 | − | 2.03866i | 1.75570 | − | 0.149885i | ||||
\(186\) | 9.37271 | − | 2.26987i | 0.687240 | − | 0.166435i | ||||
\(187\) | 17.3882i | 1.27155i | ||||||||
\(188\) | 1.54613 | 0.112763 | ||||||||
\(189\) | 5.97410 | + | 7.23621i | 0.434552 | + | 0.526356i | ||||
\(190\) | 0.970012 | − | 0.0828103i | 0.0703721 | − | 0.00600769i | ||||
\(191\) | −14.5902 | + | 8.42368i | −1.05571 | + | 0.609516i | −0.924243 | − | 0.381804i | \(-0.875303\pi\) |
−0.131470 | + | 0.991320i | \(0.541970\pi\) | |||||||
\(192\) | −0.681795 | − | 1.59222i | −0.0492044 | − | 0.114908i | ||||
\(193\) | 14.2645 | + | 8.23560i | 1.02678 | + | 0.592811i | 0.916060 | − | 0.401041i | \(-0.131351\pi\) |
0.110719 | + | 0.993852i | \(0.464685\pi\) | |||||||
\(194\) | 11.8138i | 0.848182i | ||||||||
\(195\) | −14.6709 | − | 0.496838i | −1.05061 | − | 0.0355793i | ||||
\(196\) | −1.86940 | − | 3.23789i | −0.133528 | − | 0.231278i | ||||
\(197\) | −0.508531 | + | 0.293601i | −0.0362313 | + | 0.0209182i | −0.518006 | − | 0.855377i | \(-0.673326\pi\) |
0.481775 | + | 0.876295i | \(0.339992\pi\) | |||||||
\(198\) | −7.96935 | − | 1.93363i | −0.566357 | − | 0.137417i | ||||
\(199\) | 0.625276 | − | 0.361003i | 0.0443246 | − | 0.0255908i | −0.477674 | − | 0.878537i | \(-0.658520\pi\) |
0.521999 | + | 0.852946i | \(0.325187\pi\) | |||||||
\(200\) | −1.72984 | + | 4.69123i | −0.122318 | + | 0.331720i | ||||
\(201\) | −12.5442 | − | 9.39082i | −0.884801 | − | 0.662377i | ||||
\(202\) | 15.5501i | 1.09410i | ||||||||
\(203\) | −5.53689 | − | 3.19672i | −0.388613 | − | 0.224366i | ||||
\(204\) | 1.30820 | − | 10.9398i | 0.0915923 | − | 0.765940i | ||||
\(205\) | 5.26043 | + | 2.46646i | 0.367404 | + | 0.172265i | ||||
\(206\) | −14.1597 | + | 8.17508i | −0.986550 | + | 0.569585i | ||||
\(207\) | −5.82303 | − | 5.55262i | −0.404728 | − | 0.385934i | ||||
\(208\) | −1.89509 | − | 3.28240i | −0.131401 | − | 0.227593i | ||||
\(209\) | 1.19012 | 0.0823226 | ||||||||
\(210\) | 6.17200 | − | 3.29006i | 0.425909 | − | 0.227036i | ||||
\(211\) | −12.8281 | + | 22.2190i | −0.883124 | + | 1.52962i | −0.0352755 | + | 0.999378i | \(0.511231\pi\) |
−0.847849 | + | 0.530238i | \(0.822102\pi\) | |||||||
\(212\) | 8.31697 | − | 4.80180i | 0.571212 | − | 0.329789i | ||||
\(213\) | 9.16032 | + | 6.85757i | 0.627655 | + | 0.469873i | ||||
\(214\) | −2.70745 | + | 4.68944i | −0.185077 | + | 0.320564i | ||||
\(215\) | 3.78003 | − | 0.322703i | 0.257796 | − | 0.0220081i | ||||
\(216\) | 4.86844 | + | 1.81611i | 0.331256 | + | 0.123571i | ||||
\(217\) | −6.40468 | + | 7.75097i | −0.434778 | + | 0.526170i | ||||
\(218\) | −3.08751 | −0.209112 | ||||||||
\(219\) | −7.75661 | + | 10.3613i | −0.524143 | + | 0.700148i | ||||
\(220\) | −2.59483 | + | 5.53423i | −0.174944 | + | 0.373118i | ||||
\(221\) | − | 24.1097i | − | 1.62180i | ||||||
\(222\) | −18.4334 | − | 2.20430i | −1.23717 | − | 0.147943i | ||||
\(223\) | −2.25149 | + | 3.89969i | −0.150771 | + | 0.261143i | −0.931511 | − | 0.363713i | \(-0.881509\pi\) |
0.780740 | + | 0.624856i | \(0.214842\pi\) | |||||||
\(224\) | 1.56394 | + | 0.902941i | 0.104495 | + | 0.0603303i | ||||
\(225\) | −6.60397 | − | 13.4680i | −0.440265 | − | 0.897868i | ||||
\(226\) | −5.84956 | − | 10.1317i | −0.389107 | − | 0.673953i | ||||
\(227\) | −7.02539 | − | 12.1683i | −0.466292 | − | 0.807641i | 0.532967 | − | 0.846136i | \(-0.321077\pi\) |
−0.999259 | + | 0.0384951i | \(0.987744\pi\) | |||||||
\(228\) | −0.748767 | − | 0.0895387i | −0.0495883 | − | 0.00592985i | ||||
\(229\) | 18.8343 | + | 10.8740i | 1.24461 | + | 0.718574i | 0.970029 | − | 0.242990i | \(-0.0781283\pi\) |
0.274579 | + | 0.961565i | \(0.411462\pi\) | |||||||
\(230\) | −4.91983 | + | 3.42951i | −0.324404 | + | 0.226135i | ||||
\(231\) | 7.85986 | − | 3.36563i | 0.517141 | − | 0.221442i | ||||
\(232\) | −3.54035 | −0.232435 | ||||||||
\(233\) | 8.80114 | 0.576582 | 0.288291 | − | 0.957543i | \(-0.406913\pi\) | ||||
0.288291 | + | 0.957543i | \(0.406913\pi\) | |||||||
\(234\) | 11.0499 | + | 2.68108i | 0.722357 | + | 0.175268i | ||||
\(235\) | 1.97703 | + | 2.83617i | 0.128968 | + | 0.185011i | ||||
\(236\) | −10.8827 | − | 6.28315i | −0.708406 | − | 0.408998i | ||||
\(237\) | 0.210097 | − | 1.75694i | 0.0136473 | − | 0.114125i | ||||
\(238\) | 5.74370 | + | 9.94837i | 0.372308 | + | 0.644857i | ||||
\(239\) | 7.39846 | + | 12.8145i | 0.478567 | + | 0.828902i | 0.999698 | − | 0.0245746i | \(-0.00782311\pi\) |
−0.521131 | + | 0.853477i | \(0.674490\pi\) | |||||||
\(240\) | 2.04891 | − | 3.28664i | 0.132256 | − | 0.212152i | ||||
\(241\) | 7.91848 | + | 4.57174i | 0.510074 | + | 0.294491i | 0.732864 | − | 0.680375i | \(-0.238183\pi\) |
−0.222790 | + | 0.974866i | \(0.571516\pi\) | |||||||
\(242\) | 1.76392 | − | 3.05519i | 0.113389 | − | 0.196395i | ||||
\(243\) | −14.0222 | + | 6.81012i | −0.899525 | + | 0.436869i | ||||
\(244\) | − | 3.25814i | − | 0.208581i | ||||||
\(245\) | 3.54909 | − | 7.56947i | 0.226743 | − | 0.483595i | ||||
\(246\) | −3.60268 | − | 2.69703i | −0.229699 | − | 0.171956i | ||||
\(247\) | −1.65017 | −0.104998 | ||||||||
\(248\) | −0.925384 | + | 5.49032i | −0.0587619 | + | 0.348636i | ||||
\(249\) | 1.60363 | + | 1.20050i | 0.101626 | + | 0.0760789i | ||||
\(250\) | −10.8174 | + | 2.82551i | −0.684153 | + | 0.178701i | ||||
\(251\) | 11.7310 | − | 20.3187i | 0.740454 | − | 1.28250i | −0.211835 | − | 0.977305i | \(-0.567944\pi\) |
0.952289 | − | 0.305198i | \(-0.0987226\pi\) | |||||||
\(252\) | −5.19824 | + | 1.52615i | −0.327458 | + | 0.0961385i | ||||
\(253\) | −6.34916 | + | 3.66569i | −0.399168 | + | 0.230460i | ||||
\(254\) | 2.92334 | − | 5.06337i | 0.183426 | − | 0.317704i | ||||
\(255\) | 21.7405 | − | 11.5890i | 1.36144 | − | 0.725733i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −9.45976 | − | 16.3848i | −0.590084 | − | 1.02206i | −0.994221 | − | 0.107357i | \(-0.965761\pi\) |
0.404137 | − | 0.914699i | \(-0.367572\pi\) | |||||||
\(258\) | −2.91786 | − | 0.348923i | −0.181658 | − | 0.0217230i | ||||
\(259\) | 16.7629 | − | 9.67806i | 1.04160 | − | 0.601365i | ||||
\(260\) | 3.59788 | − | 7.67351i | 0.223131 | − | 0.475891i | ||||
\(261\) | 7.32962 | − | 7.68657i | 0.453692 | − | 0.475787i | ||||
\(262\) | −13.3521 | − | 7.70881i | −0.824893 | − | 0.476252i | ||||
\(263\) | 9.36711i | 0.577600i | 0.957389 | + | 0.288800i | \(0.0932563\pi\) | ||||
−0.957389 | + | 0.288800i | \(0.906744\pi\) | |||||||
\(264\) | 2.83741 | − | 3.79020i | 0.174630 | − | 0.233271i | ||||
\(265\) | 19.4432 | + | 9.11634i | 1.19439 | + | 0.560012i | ||||
\(266\) | 0.680908 | − | 0.393123i | 0.0417492 | − | 0.0241039i | ||||
\(267\) | −1.58688 | − | 3.70589i | −0.0971157 | − | 0.226797i | ||||
\(268\) | 7.83494 | − | 4.52350i | 0.478595 | − | 0.276317i | ||||
\(269\) | −4.99236 | − | 8.64703i | −0.304390 | − | 0.527219i | 0.672735 | − | 0.739883i | \(-0.265119\pi\) |
−0.977125 | + | 0.212664i | \(0.931786\pi\) | |||||||
\(270\) | 2.89386 | + | 11.2528i | 0.176115 | + | 0.684824i | ||||
\(271\) | − | 14.3826i | − | 0.873678i | −0.899540 | − | 0.436839i | \(-0.856098\pi\) | ||
0.899540 | − | 0.436839i | \(-0.143902\pi\) | |||||||
\(272\) | 5.50887 | + | 3.18055i | 0.334025 | + | 0.192849i | ||||
\(273\) | −10.8981 | + | 4.66663i | −0.659584 | + | 0.282437i | ||||
\(274\) | −5.75226 | + | 3.32107i | −0.347506 | + | 0.200633i | ||||
\(275\) | −13.4699 | + | 2.31674i | −0.812263 | + | 0.139705i | ||||
\(276\) | 4.27036 | − | 1.82859i | 0.257046 | − | 0.110068i | ||||
\(277\) | −10.7709 | −0.647163 | −0.323581 | − | 0.946200i | \(-0.604887\pi\) | ||||
−0.323581 | + | 0.946200i | \(0.604887\pi\) | |||||||
\(278\) | 10.0512i | 0.602831i | ||||||||
\(279\) | −10.0044 | − | 13.3758i | −0.598947 | − | 0.800788i | ||||
\(280\) | 0.343482 | + | 4.02344i | 0.0205270 | + | 0.240446i | ||||
\(281\) | − | 15.1194i | − | 0.901949i | −0.892537 | − | 0.450975i | \(-0.851076\pi\) | ||
0.892537 | − | 0.450975i | \(-0.148924\pi\) | |||||||
\(282\) | −1.05414 | − | 2.46177i | −0.0627732 | − | 0.146596i | ||||
\(283\) | − | 15.4123i | − | 0.916167i | −0.888909 | − | 0.458083i | \(-0.848536\pi\) | ||
0.888909 | − | 0.458083i | \(-0.151464\pi\) | |||||||
\(284\) | −5.72140 | + | 3.30325i | −0.339503 | + | 0.196012i | ||||
\(285\) | −0.793202 | − | 1.48801i | −0.0469852 | − | 0.0881421i | ||||
\(286\) | 5.18028 | − | 8.97251i | 0.306317 | − | 0.530556i | ||||
\(287\) | 4.69220 | 0.276972 | ||||||||
\(288\) | −2.07031 | + | 2.17113i | −0.121994 | + | 0.127935i | ||||
\(289\) | 11.7318 | + | 20.3201i | 0.690106 | + | 1.19530i | ||||
\(290\) | −4.52705 | − | 6.49432i | −0.265838 | − | 0.381360i | ||||
\(291\) | 18.8101 | − | 8.05460i | 1.10267 | − | 0.472169i | ||||
\(292\) | −3.73631 | − | 6.47149i | −0.218651 | − | 0.378715i | ||||
\(293\) | 16.8667 | − | 29.2139i | 0.985361 | − | 1.70670i | 0.345039 | − | 0.938588i | \(-0.387866\pi\) |
0.640322 | − | 0.768107i | \(-0.278801\pi\) | |||||||
\(294\) | −3.88088 | + | 5.18406i | −0.226337 | + | 0.302341i | ||||
\(295\) | −2.39014 | − | 27.9973i | −0.139159 | − | 1.63006i | ||||
\(296\) | 5.35919 | − | 9.28239i | 0.311497 | − | 0.539528i | ||||
\(297\) | 2.35471 | + | 14.0073i | 0.136634 | + | 0.812785i | ||||
\(298\) | 6.45518 | + | 3.72690i | 0.373939 | + | 0.215894i | ||||
\(299\) | 8.80346 | − | 5.08268i | 0.509117 | − | 0.293939i | ||||
\(300\) | 8.64886 | − | 0.444174i | 0.499342 | − | 0.0256444i | ||||
\(301\) | 2.65343 | − | 1.53196i | 0.152941 | − | 0.0883005i | ||||
\(302\) | − | 18.6368i | − | 1.07243i | ||||||
\(303\) | 24.7591 | − | 10.6020i | 1.42237 | − | 0.609067i | ||||
\(304\) | 0.217690 | − | 0.377051i | 0.0124854 | − | 0.0216253i | ||||
\(305\) | 5.97665 | − | 4.16620i | 0.342222 | − | 0.238556i | ||||
\(306\) | −18.3105 | + | 5.37577i | −1.04674 | + | 0.307312i | ||||
\(307\) | 10.3344 | + | 5.96659i | 0.589818 | + | 0.340532i | 0.765025 | − | 0.644000i | \(-0.222726\pi\) |
−0.175208 | + | 0.984532i | \(0.556060\pi\) | |||||||
\(308\) | 4.93642i | 0.281279i | ||||||||
\(309\) | 22.6705 | + | 16.9715i | 1.28968 | + | 0.965475i | ||||
\(310\) | −11.2546 | + | 5.32299i | −0.639218 | + | 0.302326i | ||||
\(311\) | 0.401203i | 0.0227501i | 0.999935 | + | 0.0113751i | \(0.00362088\pi\) | ||||
−0.999935 | + | 0.0113751i | \(0.996379\pi\) | |||||||
\(312\) | −3.93422 | + | 5.25532i | −0.222731 | + | 0.297524i | ||||
\(313\) | −10.0123 | + | 17.3418i | −0.565930 | + | 0.980219i | 0.431033 | + | 0.902336i | \(0.358149\pi\) |
−0.996963 | + | 0.0778829i | \(0.975184\pi\) | |||||||
\(314\) | − | 11.8145i | − | 0.666732i | ||||||
\(315\) | −9.44653 | − | 7.58402i | −0.532252 | − | 0.427311i | ||||
\(316\) | 0.884726 | + | 0.510797i | 0.0497697 | + | 0.0287346i | ||||
\(317\) | −14.0966 | + | 24.4161i | −0.791746 | + | 1.37134i | 0.133139 | + | 0.991097i | \(0.457494\pi\) |
−0.924885 | + | 0.380247i | \(0.875839\pi\) | |||||||
\(318\) | −13.3160 | − | 9.96857i | −0.746723 | − | 0.559010i | ||||
\(319\) | −4.83882 | − | 8.38108i | −0.270922 | − | 0.469250i | ||||
\(320\) | 1.27870 | + | 1.83437i | 0.0714816 | + | 0.102545i | ||||
\(321\) | 9.31253 | + | 1.11361i | 0.519775 | + | 0.0621555i | ||||
\(322\) | −2.42171 | + | 4.19452i | −0.134956 | + | 0.233751i | ||||
\(323\) | 2.39846 | − | 1.38475i | 0.133454 | − | 0.0770495i | ||||
\(324\) | −0.427634 | − | 8.98983i | −0.0237575 | − | 0.499435i | ||||
\(325\) | 18.6767 | − | 3.21228i | 1.03600 | − | 0.178185i | ||||
\(326\) | 20.5432i | 1.13778i | ||||||||
\(327\) | 2.10505 | + | 4.91598i | 0.116410 | + | 0.271855i | ||||
\(328\) | 2.25018 | − | 1.29914i | 0.124246 | − | 0.0717332i | ||||
\(329\) | 2.41805 | + | 1.39606i | 0.133311 | + | 0.0769673i | ||||
\(330\) | 10.5808 | + | 0.358326i | 0.582456 | + | 0.0197252i | ||||
\(331\) | 7.83238 | − | 4.52202i | 0.430506 | − | 0.248553i | −0.269056 | − | 0.963125i | \(-0.586712\pi\) |
0.699562 | + | 0.714572i | \(0.253378\pi\) | |||||||
\(332\) | −1.00160 | + | 0.578276i | −0.0549701 | + | 0.0317370i | ||||
\(333\) | 9.05811 | + | 30.8529i | 0.496382 | + | 1.69073i | ||||
\(334\) | −9.55459 | − | 5.51635i | −0.522804 | − | 0.301841i | ||||
\(335\) | 18.3163 | + | 8.58798i | 1.00073 | + | 0.469212i | ||||
\(336\) | 0.371391 | − | 3.10575i | 0.0202610 | − | 0.169433i | ||||
\(337\) | −24.7796 | −1.34983 | −0.674916 | − | 0.737894i | \(-0.735820\pi\) | ||||
−0.674916 | + | 0.737894i | \(0.735820\pi\) | |||||||
\(338\) | −0.682746 | + | 1.18255i | −0.0371365 | + | 0.0643222i | ||||
\(339\) | −12.1437 | + | 16.2215i | −0.659556 | + | 0.881033i | ||||
\(340\) | 1.20989 | + | 14.1723i | 0.0656158 | + | 0.768601i | ||||
\(341\) | −14.2620 | + | 5.31331i | −0.772333 | + | 0.287732i | ||||
\(342\) | 0.367941 | + | 1.25325i | 0.0198959 | + | 0.0677678i | ||||
\(343\) | − | 19.3930i | − | 1.04712i | ||||||
\(344\) | 0.848315 | − | 1.46932i | 0.0457381 | − | 0.0792207i | ||||
\(345\) | 8.81483 | + | 5.49521i | 0.474575 | + | 0.295852i | ||||
\(346\) | −13.0225 | − | 22.5556i | −0.700091 | − | 1.21259i | ||||
\(347\) | −1.62104 | − | 0.935905i | −0.0870217 | − | 0.0502420i | 0.455858 | − | 0.890053i | \(-0.349333\pi\) |
−0.542879 | + | 0.839811i | \(0.682666\pi\) | |||||||
\(348\) | 2.41379 | + | 5.63700i | 0.129393 | + | 0.302175i | ||||
\(349\) | 7.55278 | 0.404291 | 0.202146 | − | 0.979356i | \(-0.435209\pi\) | ||||
0.202146 | + | 0.979356i | \(0.435209\pi\) | |||||||
\(350\) | −6.94127 | + | 5.77485i | −0.371027 | + | 0.308679i | ||||
\(351\) | −3.26494 | − | 19.4219i | −0.174270 | − | 1.03666i | ||||
\(352\) | 1.36676 | + | 2.36730i | 0.0728487 | + | 0.126178i | ||||
\(353\) | −10.3150 | − | 5.95534i | −0.549010 | − | 0.316971i | 0.199713 | − | 0.979854i | \(-0.435999\pi\) |
−0.748722 | + | 0.662884i | \(0.769332\pi\) | |||||||
\(354\) | −2.58434 | + | 21.6115i | −0.137356 | + | 1.14864i | ||||
\(355\) | −13.3754 | − | 6.27130i | −0.709890 | − | 0.332846i | ||||
\(356\) | 2.32751 | 0.123358 | ||||||||
\(357\) | 11.9239 | − | 15.9280i | 0.631082 | − | 0.842997i | ||||
\(358\) | 2.35224 | − | 4.07419i | 0.124319 | − | 0.215328i | ||||
\(359\) | −30.4010 | + | 17.5520i | −1.60450 | + | 0.926361i | −0.613934 | + | 0.789357i | \(0.710414\pi\) |
−0.990570 | + | 0.137004i | \(0.956253\pi\) | |||||||
\(360\) | −6.62997 | − | 1.02149i | −0.349430 | − | 0.0538371i | ||||
\(361\) | 9.40522 | + | 16.2903i | 0.495012 | + | 0.857385i | ||||
\(362\) | −2.33559 | + | 1.34845i | −0.122756 | + | 0.0708732i | ||||
\(363\) | −6.06716 | − | 0.725521i | −0.318443 | − | 0.0380800i | ||||
\(364\) | − | 6.84462i | − | 0.358756i | ||||||
\(365\) | 7.09348 | − | 15.1289i | 0.371290 | − | 0.791882i | ||||
\(366\) | −5.18767 | + | 2.22139i | −0.271164 | + | 0.116114i | ||||
\(367\) | −10.3863 | − | 17.9896i | −0.542159 | − | 0.939047i | −0.998780 | − | 0.0493855i | \(-0.984274\pi\) |
0.456621 | − | 0.889661i | \(-0.349060\pi\) | |||||||
\(368\) | 2.68202i | 0.139810i | ||||||||
\(369\) | −1.83796 | + | 7.57508i | −0.0956805 | + | 0.394343i | ||||
\(370\) | 23.8802 | − | 2.03866i | 1.24147 | − | 0.105985i | ||||
\(371\) | 17.3430 | 0.900402 | ||||||||
\(372\) | 9.37271 | − | 2.26987i | 0.485952 | − | 0.117687i | ||||
\(373\) | − | 17.6858i | − | 0.915738i | −0.889020 | − | 0.457869i | \(-0.848613\pi\) | ||
0.889020 | − | 0.457869i | \(-0.151387\pi\) | |||||||
\(374\) | 17.3882i | 0.899124i | ||||||||
\(375\) | 11.8741 | + | 15.2973i | 0.613175 | + | 0.789947i | ||||
\(376\) | 1.54613 | 0.0797354 | ||||||||
\(377\) | 6.70929 | + | 11.6208i | 0.345546 | + | 0.598503i | ||||
\(378\) | 5.97410 | + | 7.23621i | 0.307275 | + | 0.372190i | ||||
\(379\) | 4.38746 | − | 7.59930i | 0.225369 | − | 0.390350i | −0.731061 | − | 0.682312i | \(-0.760975\pi\) |
0.956430 | + | 0.291962i | \(0.0943081\pi\) | |||||||
\(380\) | 0.970012 | − | 0.0828103i | 0.0497606 | − | 0.00424808i | ||||
\(381\) | −10.0551 | − | 1.20240i | −0.515138 | − | 0.0616011i | ||||
\(382\) | −14.5902 | + | 8.42368i | −0.746502 | + | 0.430993i | ||||
\(383\) | 32.0004 | − | 18.4754i | 1.63514 | − | 0.944050i | 0.652671 | − | 0.757642i | \(-0.273648\pi\) |
0.982472 | − | 0.186409i | \(-0.0596849\pi\) | |||||||
\(384\) | −0.681795 | − | 1.59222i | −0.0347927 | − | 0.0812525i | ||||
\(385\) | −9.05524 | + | 6.31221i | −0.461498 | + | 0.321700i | ||||
\(386\) | 14.2645 | + | 8.23560i | 0.726042 | + | 0.419181i | ||||
\(387\) | 1.43382 | + | 4.88376i | 0.0728854 | + | 0.248256i | ||||
\(388\) | 11.8138i | 0.599755i | ||||||||
\(389\) | 15.0730 | − | 26.1072i | 0.764232 | − | 1.32369i | −0.176420 | − | 0.984315i | \(-0.556452\pi\) |
0.940652 | − | 0.339374i | \(-0.110215\pi\) | |||||||
\(390\) | −14.6709 | − | 0.496838i | −0.742890 | − | 0.0251584i | ||||
\(391\) | −8.53031 | + | 14.7749i | −0.431396 | + | 0.747200i | ||||
\(392\) | −1.86940 | − | 3.23789i | −0.0944188 | − | 0.163538i | ||||
\(393\) | −3.17073 | + | 26.5152i | −0.159942 | + | 1.33752i | ||||
\(394\) | −0.508531 | + | 0.293601i | −0.0256194 | + | 0.0147914i | ||||
\(395\) | 0.194309 | + | 2.27607i | 0.00977677 | + | 0.114522i | ||||
\(396\) | −7.96935 | − | 1.93363i | −0.400475 | − | 0.0971684i | ||||
\(397\) | 18.5049 | + | 10.6838i | 0.928732 | + | 0.536204i | 0.886410 | − | 0.462900i | \(-0.153191\pi\) |
0.0423219 | + | 0.999104i | \(0.486525\pi\) | |||||||
\(398\) | 0.625276 | − | 0.361003i | 0.0313422 | − | 0.0180954i | ||||
\(399\) | −1.09018 | − | 0.816125i | −0.0545771 | − | 0.0408573i | ||||
\(400\) | −1.72984 | + | 4.69123i | −0.0864922 | + | 0.234562i | ||||
\(401\) | −10.2194 | −0.510331 | −0.255165 | − | 0.966897i | \(-0.582130\pi\) | ||||
−0.255165 | + | 0.966897i | \(0.582130\pi\) | |||||||
\(402\) | −12.5442 | − | 9.39082i | −0.625649 | − | 0.468371i | ||||
\(403\) | 19.7751 | − | 7.36719i | 0.985068 | − | 0.366986i | ||||
\(404\) | 15.5501i | 0.773645i | ||||||||
\(405\) | 15.9439 | − | 12.2798i | 0.792258 | − | 0.610186i | ||||
\(406\) | −5.53689 | − | 3.19672i | −0.274791 | − | 0.158651i | ||||
\(407\) | 29.2990 | 1.45230 | ||||||||
\(408\) | 1.30820 | − | 10.9398i | 0.0647656 | − | 0.541601i | ||||
\(409\) | −21.7788 | − | 12.5740i | −1.07689 | − | 0.621744i | −0.146836 | − | 0.989161i | \(-0.546909\pi\) |
−0.930056 | + | 0.367417i | \(0.880242\pi\) | |||||||
\(410\) | 5.26043 | + | 2.46646i | 0.259794 | + | 0.121810i | ||||
\(411\) | 9.20972 | + | 6.89455i | 0.454282 | + | 0.340083i | ||||
\(412\) | −14.1597 | + | 8.17508i | −0.697596 | + | 0.402757i | ||||
\(413\) | −11.3466 | − | 19.6529i | −0.558331 | − | 0.967058i | ||||
\(414\) | −5.82303 | − | 5.55262i | −0.286186 | − | 0.272896i | ||||
\(415\) | −2.34153 | − | 1.09787i | −0.114941 | − | 0.0538924i | ||||
\(416\) | −1.89509 | − | 3.28240i | −0.0929145 | − | 0.160933i | ||||
\(417\) | 16.0037 | − | 6.85286i | 0.783704 | − | 0.335586i | ||||
\(418\) | 1.19012 | 0.0582109 | ||||||||
\(419\) | 21.1866i | 1.03503i | 0.855673 | + | 0.517516i | \(0.173143\pi\) | ||||
−0.855673 | + | 0.517516i | \(0.826857\pi\) | |||||||
\(420\) | 6.17200 | − | 3.29006i | 0.301163 | − | 0.160539i | ||||
\(421\) | −3.99936 | − | 6.92709i | −0.194917 | − | 0.337606i | 0.751956 | − | 0.659213i | \(-0.229110\pi\) |
−0.946873 | + | 0.321607i | \(0.895777\pi\) | |||||||
\(422\) | −12.8281 | + | 22.2190i | −0.624463 | + | 1.08160i | ||||
\(423\) | −3.20096 | + | 3.35685i | −0.155636 | + | 0.163215i | ||||
\(424\) | 8.31697 | − | 4.80180i | 0.403908 | − | 0.233196i | ||||
\(425\) | −24.4502 | + | 20.3415i | −1.18601 | + | 0.986710i | ||||
\(426\) | 9.16032 | + | 6.85757i | 0.443819 | + | 0.332250i | ||||
\(427\) | 2.94191 | − | 5.09554i | 0.142369 | − | 0.246590i | ||||
\(428\) | −2.70745 | + | 4.68944i | −0.130870 | + | 0.226673i | ||||
\(429\) | −17.8181 | − | 2.13072i | −0.860265 | − | 0.102872i | ||||
\(430\) | 3.78003 | − | 0.322703i | 0.182289 | − | 0.0155621i | ||||
\(431\) | 20.4694 | + | 11.8180i | 0.985976 | + | 0.569253i | 0.904069 | − | 0.427387i | \(-0.140566\pi\) |
0.0819068 | + | 0.996640i | \(0.473899\pi\) | |||||||
\(432\) | 4.86844 | + | 1.81611i | 0.234233 | + | 0.0873778i | ||||
\(433\) | −10.0836 | −0.484588 | −0.242294 | − | 0.970203i | \(-0.577900\pi\) | ||||
−0.242294 | + | 0.970203i | \(0.577900\pi\) | |||||||
\(434\) | −6.40468 | + | 7.75097i | −0.307434 | + | 0.372058i | ||||
\(435\) | −7.25384 | + | 11.6358i | −0.347795 | + | 0.557896i | ||||
\(436\) | −3.08751 | −0.147865 | ||||||||
\(437\) | 1.01126 | + | 0.583850i | 0.0483750 | + | 0.0279293i | ||||
\(438\) | −7.75661 | + | 10.3613i | −0.370625 | + | 0.495080i | ||||
\(439\) | −19.2622 | − | 33.3630i | −0.919332 | − | 1.59233i | −0.800432 | − | 0.599424i | \(-0.795396\pi\) |
−0.118901 | − | 0.992906i | \(-0.537937\pi\) | |||||||
\(440\) | −2.59483 | + | 5.53423i | −0.123704 | + | 0.263834i | ||||
\(441\) | 10.9001 | + | 2.64473i | 0.519053 | + | 0.125939i | ||||
\(442\) | − | 24.1097i | − | 1.14678i | ||||||
\(443\) | 11.5516 | + | 20.0079i | 0.548831 | + | 0.950603i | 0.998355 | + | 0.0573347i | \(0.0182602\pi\) |
−0.449524 | + | 0.893268i | \(0.648406\pi\) | |||||||
\(444\) | −18.4334 | − | 2.20430i | −0.874813 | − | 0.104612i | ||||
\(445\) | 2.97619 | + | 4.26951i | 0.141085 | + | 0.202394i | ||||
\(446\) | −2.25149 | + | 3.89969i | −0.106611 | + | 0.184656i | ||||
\(447\) | 1.53292 | − | 12.8190i | 0.0725047 | − | 0.606320i | ||||
\(448\) | 1.56394 | + | 0.902941i | 0.0738892 | + | 0.0426599i | ||||
\(449\) | 15.1659 | 0.715722 | 0.357861 | − | 0.933775i | \(-0.383506\pi\) | ||||
0.357861 | + | 0.933775i | \(0.383506\pi\) | |||||||
\(450\) | −6.60397 | − | 13.4680i | −0.311314 | − | 0.634889i | ||||
\(451\) | 6.15094 | + | 3.55124i | 0.289636 | + | 0.167222i | ||||
\(452\) | −5.84956 | − | 10.1317i | −0.275140 | − | 0.476556i | ||||
\(453\) | −29.6739 | + | 12.7065i | −1.39420 | + | 0.597004i | ||||
\(454\) | −7.02539 | − | 12.1683i | −0.329718 | − | 0.571088i | ||||
\(455\) | 12.5556 | − | 8.75223i | 0.588615 | − | 0.410311i | ||||
\(456\) | −0.748767 | − | 0.0895387i | −0.0350642 | − | 0.00419304i | ||||
\(457\) | 39.7824 | 1.86094 | 0.930471 | − | 0.366366i | \(-0.119398\pi\) | ||||
0.930471 | + | 0.366366i | \(0.119398\pi\) | |||||||
\(458\) | 18.8343 | + | 10.8740i | 0.880070 | + | 0.508109i | ||||
\(459\) | 21.0434 | + | 25.4891i | 0.982222 | + | 1.18973i | ||||
\(460\) | −4.91983 | + | 3.42951i | −0.229388 | + | 0.159902i | ||||
\(461\) | −23.1667 | −1.07898 | −0.539490 | − | 0.841992i | \(-0.681383\pi\) | ||||
−0.539490 | + | 0.841992i | \(0.681383\pi\) | |||||||
\(462\) | 7.85986 | − | 3.36563i | 0.365674 | − | 0.156583i | ||||
\(463\) | 30.4160 | 1.41355 | 0.706775 | − | 0.707438i | \(-0.250149\pi\) | ||||
0.706775 | + | 0.707438i | \(0.250149\pi\) | |||||||
\(464\) | −3.54035 | −0.164357 | ||||||||
\(465\) | 16.1487 | + | 14.2906i | 0.748877 | + | 0.662709i | ||||
\(466\) | 8.80114 | 0.407705 | ||||||||
\(467\) | 7.94617 | 0.367705 | 0.183852 | − | 0.982954i | \(-0.441143\pi\) | ||||
0.183852 | + | 0.982954i | \(0.441143\pi\) | |||||||
\(468\) | 11.0499 | + | 2.68108i | 0.510784 | + | 0.123933i | ||||
\(469\) | 16.3378 | 0.754410 | ||||||||
\(470\) | 1.97703 | + | 2.83617i | 0.0911938 | + | 0.130823i | ||||
\(471\) | −18.8113 | + | 8.05508i | −0.866778 | + | 0.371159i | ||||
\(472\) | −10.8827 | − | 6.28315i | −0.500919 | − | 0.289206i | ||||
\(473\) | 4.63778 | 0.213245 | ||||||||
\(474\) | 0.210097 | − | 1.75694i | 0.00965009 | − | 0.0806987i | ||||
\(475\) | 1.39226 | + | 1.67347i | 0.0638813 | + | 0.0767842i | ||||
\(476\) | 5.74370 | + | 9.94837i | 0.263262 | + | 0.455983i | ||||
\(477\) | −6.79335 | + | 27.9985i | −0.311046 | + | 1.28196i | ||||
\(478\) | 7.39846 | + | 12.8145i | 0.338398 | + | 0.586122i | ||||
\(479\) | −24.5119 | − | 14.1519i | −1.11998 | − | 0.646618i | −0.178581 | − | 0.983925i | \(-0.557151\pi\) |
−0.941395 | + | 0.337307i | \(0.890484\pi\) | |||||||
\(480\) | 2.04891 | − | 3.28664i | 0.0935193 | − | 0.150014i | ||||
\(481\) | −40.6246 | −1.85232 | ||||||||
\(482\) | 7.91848 | + | 4.57174i | 0.360677 | + | 0.208237i | ||||
\(483\) | 8.32969 | + | 0.996078i | 0.379014 | + | 0.0453231i | ||||
\(484\) | 1.76392 | − | 3.05519i | 0.0801780 | − | 0.138872i | ||||
\(485\) | −21.6709 | + | 15.1063i | −0.984026 | + | 0.685944i | ||||
\(486\) | −14.0222 | + | 6.81012i | −0.636060 | + | 0.308913i | ||||
\(487\) | −0.193235 | − | 0.334692i | −0.00875630 | − | 0.0151664i | 0.861614 | − | 0.507564i | \(-0.169454\pi\) |
−0.870370 | + | 0.492398i | \(0.836121\pi\) | |||||||
\(488\) | − | 3.25814i | − | 0.147489i | ||||||
\(489\) | 32.7092 | − | 14.0062i | 1.47916 | − | 0.633384i | ||||
\(490\) | 3.54909 | − | 7.56947i | 0.160332 | − | 0.341954i | ||||
\(491\) | 10.1542 | + | 17.5877i | 0.458255 | + | 0.793721i | 0.998869 | − | 0.0475501i | \(-0.0151414\pi\) |
−0.540614 | + | 0.841271i | \(0.681808\pi\) | |||||||
\(492\) | −3.60268 | − | 2.69703i | −0.162422 | − | 0.121592i | ||||
\(493\) | −19.5033 | − | 11.2603i | −0.878386 | − | 0.507137i | ||||
\(494\) | −1.65017 | −0.0742447 | ||||||||
\(495\) | −6.64343 | − | 17.0913i | −0.298600 | − | 0.768196i | ||||
\(496\) | −0.925384 | + | 5.49032i | −0.0415509 | + | 0.246523i | ||||
\(497\) | −11.9306 | −0.535159 | ||||||||
\(498\) | 1.60363 | + | 1.20050i | 0.0718604 | + | 0.0537959i | ||||
\(499\) | −5.94228 | − | 3.43078i | −0.266013 | − | 0.153583i | 0.361061 | − | 0.932542i | \(-0.382414\pi\) |
−0.627074 | + | 0.778959i | \(0.715748\pi\) | |||||||
\(500\) | −10.8174 | + | 2.82551i | −0.483770 | + | 0.126361i | ||||
\(501\) | −2.26894 | + | 18.9740i | −0.101369 | + | 0.847696i | ||||
\(502\) | 11.7310 | − | 20.3187i | 0.523580 | − | 0.906867i | ||||
\(503\) | −10.3142 | + | 17.8646i | −0.459885 | + | 0.796545i | −0.998954 | − | 0.0457166i | \(-0.985443\pi\) |
0.539069 | + | 0.842262i | \(0.318776\pi\) | |||||||
\(504\) | −5.19824 | + | 1.52615i | −0.231548 | + | 0.0679802i | ||||
\(505\) | −28.5246 | + | 19.8839i | −1.26933 | + | 0.884822i | ||||
\(506\) | −6.34916 | + | 3.66569i | −0.282255 | + | 0.162960i | ||||
\(507\) | 2.34837 | + | 0.280822i | 0.104295 | + | 0.0124717i | ||||
\(508\) | 2.92334 | − | 5.06337i | 0.129702 | − | 0.224651i | ||||
\(509\) | −2.25242 | − | 3.90131i | −0.0998370 | − | 0.172923i | 0.811780 | − | 0.583963i | \(-0.198499\pi\) |
−0.911617 | + | 0.411041i | \(0.865165\pi\) | |||||||
\(510\) | 21.7405 | − | 11.5890i | 0.962685 | − | 0.513171i | ||||
\(511\) | − | 13.4947i | − | 0.596969i | ||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 1.74458 | − | 1.44030i | 0.0770251 | − | 0.0635907i | ||||
\(514\) | −9.45976 | − | 16.3848i | −0.417252 | − | 0.722702i | ||||
\(515\) | −33.1021 | − | 15.5206i | −1.45865 | − | 0.683919i | ||||
\(516\) | −2.91786 | − | 0.348923i | −0.128452 | − | 0.0153605i | ||||
\(517\) | 2.11319 | + | 3.66015i | 0.0929379 | + | 0.160973i | ||||
\(518\) | 16.7629 | − | 9.67806i | 0.736519 | − | 0.425229i | ||||
\(519\) | −27.0347 | + | 36.1128i | −1.18669 | + | 1.58518i | ||||
\(520\) | 3.59788 | − | 7.67351i | 0.157777 | − | 0.336506i | ||||
\(521\) | −4.65889 | − | 2.68981i | −0.204110 | − | 0.117843i | 0.394461 | − | 0.918913i | \(-0.370931\pi\) |
−0.598571 | + | 0.801070i | \(0.704265\pi\) | |||||||
\(522\) | 7.32962 | − | 7.68657i | 0.320809 | − | 0.336432i | ||||
\(523\) | 3.08855 | 0.135053 | 0.0675265 | − | 0.997717i | \(-0.478489\pi\) | ||||
0.0675265 | + | 0.997717i | \(0.478489\pi\) | |||||||
\(524\) | −13.3521 | − | 7.70881i | −0.583287 | − | 0.336761i | ||||
\(525\) | 13.9273 | + | 7.11474i | 0.607839 | + | 0.310513i | ||||
\(526\) | 9.36711i | 0.408425i | ||||||||
\(527\) | −22.5601 | + | 27.3023i | −0.982732 | + | 1.18931i | ||||
\(528\) | 2.83741 | − | 3.79020i | 0.123482 | − | 0.164947i | ||||
\(529\) | 15.8068 | 0.687250 | ||||||||
\(530\) | 19.4432 | + | 9.11634i | 0.844559 | + | 0.395989i | ||||
\(531\) | 36.1722 | − | 10.6198i | 1.56974 | − | 0.460860i | ||||
\(532\) | 0.680908 | − | 0.393123i | 0.0295211 | − | 0.0170440i | ||||
\(533\) | −8.52861 | − | 4.92399i | −0.369415 | − | 0.213282i | ||||
\(534\) | −1.58688 | − | 3.70589i | −0.0686711 | − | 0.160370i | ||||
\(535\) | −12.0642 | + | 1.02993i | −0.521581 | + | 0.0445276i | ||||
\(536\) | 7.83494 | − | 4.52350i | 0.338418 | − | 0.195386i | ||||
\(537\) | −8.09074 | − | 0.967504i | −0.349141 | − | 0.0417509i | ||||
\(538\) | −4.99236 | − | 8.64703i | −0.215236 | − | 0.372800i | ||||
\(539\) | 5.11005 | − | 8.85086i | 0.220105 | − | 0.381233i | ||||
\(540\) | 2.89386 | + | 11.2528i | 0.124532 | + | 0.484244i | ||||
\(541\) | 7.60401 | − | 13.1705i | 0.326922 | − | 0.566245i | −0.654978 | − | 0.755648i | \(-0.727322\pi\) |
0.981899 | + | 0.189403i | \(0.0606553\pi\) | |||||||
\(542\) | − | 14.3826i | − | 0.617784i | ||||||
\(543\) | 3.73943 | + | 2.79940i | 0.160474 | + | 0.120134i | ||||
\(544\) | 5.50887 | + | 3.18055i | 0.236191 | + | 0.136365i | ||||
\(545\) | −3.94800 | − | 5.66364i | −0.169114 | − | 0.242604i | ||||
\(546\) | −10.8981 | + | 4.66663i | −0.466397 | + | 0.199713i | ||||
\(547\) | −10.7704 | + | 6.21829i | −0.460509 | + | 0.265875i | −0.712258 | − | 0.701917i | \(-0.752328\pi\) |
0.251749 | + | 0.967792i | \(0.418994\pi\) | |||||||
\(548\) | −5.75226 | + | 3.32107i | −0.245724 | + | 0.141869i | ||||
\(549\) | 7.07386 | + | 6.74537i | 0.301905 | + | 0.287885i | ||||
\(550\) | −13.4699 | + | 2.31674i | −0.574356 | + | 0.0987860i | ||||
\(551\) | −0.770700 | + | 1.33489i | −0.0328329 | + | 0.0568683i | ||||
\(552\) | 4.27036 | − | 1.82859i | 0.181759 | − | 0.0778300i | ||||
\(553\) | 0.922439 | + | 1.59771i | 0.0392261 | + | 0.0679416i | ||||
\(554\) | −10.7709 | −0.457613 | ||||||||
\(555\) | −19.5274 | − | 36.6324i | −0.828891 | − | 1.55496i | ||||
\(556\) | 10.0512i | 0.426266i | ||||||||
\(557\) | − | 5.01476i | − | 0.212482i | −0.994340 | − | 0.106241i | \(-0.966118\pi\) | ||
0.994340 | − | 0.106241i | \(-0.0338815\pi\) | |||||||
\(558\) | −10.0044 | − | 13.3758i | −0.423520 | − | 0.566243i | ||||
\(559\) | −6.43054 | −0.271983 | ||||||||
\(560\) | 0.343482 | + | 4.02344i | 0.0145148 | + | 0.170021i | ||||
\(561\) | 27.6858 | − | 11.8552i | 1.16890 | − | 0.500528i | ||||
\(562\) | − | 15.1194i | − | 0.637774i | ||||||
\(563\) | −1.82585 | − | 3.16246i | −0.0769503 | − | 0.133282i | 0.824982 | − | 0.565158i | \(-0.191185\pi\) |
−0.901933 | + | 0.431877i | \(0.857852\pi\) | |||||||
\(564\) | −1.05414 | − | 2.46177i | −0.0443874 | − | 0.103659i | ||||
\(565\) | 11.1055 | − | 23.6857i | 0.467213 | − | 0.996466i | ||||
\(566\) | − | 15.4123i | − | 0.647828i | ||||||
\(567\) | 7.44849 | − | 14.4457i | 0.312807 | − | 0.606662i | ||||
\(568\) | −5.72140 | + | 3.30325i | −0.240065 | + | 0.138601i | ||||
\(569\) | 12.6503 | + | 21.9110i | 0.530328 | + | 0.918555i | 0.999374 | + | 0.0353813i | \(0.0112646\pi\) |
−0.469046 | + | 0.883174i | \(0.655402\pi\) | |||||||
\(570\) | −0.793202 | − | 1.48801i | −0.0332236 | − | 0.0623259i | ||||
\(571\) | −13.7614 | + | 7.94517i | −0.575898 | + | 0.332495i | −0.759502 | − | 0.650505i | \(-0.774557\pi\) |
0.183603 | + | 0.983000i | \(0.441224\pi\) | |||||||
\(572\) | 5.18028 | − | 8.97251i | 0.216599 | − | 0.375160i | ||||
\(573\) | 23.3599 | + | 17.4876i | 0.975874 | + | 0.730556i | ||||
\(574\) | 4.69220 | 0.195849 | ||||||||
\(575\) | −12.5820 | − | 4.63948i | −0.524705 | − | 0.193480i | ||||
\(576\) | −2.07031 | + | 2.17113i | −0.0862629 | + | 0.0904639i | ||||
\(577\) | 30.6800 | + | 17.7131i | 1.27723 | + | 0.737406i | 0.976337 | − | 0.216253i | \(-0.0693837\pi\) |
0.300888 | + | 0.953660i | \(0.402717\pi\) | |||||||
\(578\) | 11.7318 | + | 20.3201i | 0.487978 | + | 0.845204i | ||||
\(579\) | 3.38740 | − | 28.3271i | 0.140776 | − | 1.17724i | ||||
\(580\) | −4.52705 | − | 6.49432i | −0.187976 | − | 0.269662i | ||||
\(581\) | −2.08860 | −0.0866495 | ||||||||
\(582\) | 18.8101 | − | 8.05460i | 0.779706 | − | 0.333874i | ||||
\(583\) | 22.7347 | + | 13.1259i | 0.941573 | + | 0.543617i | ||||
\(584\) | −3.73631 | − | 6.47149i | −0.154610 | − | 0.267792i | ||||
\(585\) | 9.21148 | + | 23.6980i | 0.380848 | + | 0.979792i | ||||
\(586\) | 16.8667 | − | 29.2139i | 0.696755 | − | 1.20682i | ||||
\(587\) | 47.0276i | 1.94104i | 0.241024 | + | 0.970519i | \(0.422517\pi\) | ||||
−0.241024 | + | 0.970519i | \(0.577483\pi\) | |||||||
\(588\) | −3.88088 | + | 5.18406i | −0.160045 | + | 0.213787i | ||||
\(589\) | 1.86868 | + | 1.54411i | 0.0769977 | + | 0.0636238i | ||||
\(590\) | −2.39014 | − | 27.9973i | −0.0984004 | − | 1.15263i | ||||
\(591\) | 0.814190 | + | 0.609516i | 0.0334913 | + | 0.0250722i | ||||
\(592\) | 5.35919 | − | 9.28239i | 0.220261 | − | 0.381504i | ||||
\(593\) | 15.5928 | 0.640320 | 0.320160 | − | 0.947363i | \(-0.396263\pi\) | ||||
0.320160 | + | 0.947363i | \(0.396263\pi\) | |||||||
\(594\) | 2.35471 | + | 14.0073i | 0.0966151 | + | 0.574726i | ||||
\(595\) | −10.9045 | + | 23.2571i | −0.447043 | + | 0.953447i | ||||
\(596\) | 6.45518 | + | 3.72690i | 0.264415 | + | 0.152660i | ||||
\(597\) | −1.00111 | − | 0.749444i | −0.0409725 | − | 0.0306727i | ||||
\(598\) | 8.80346 | − | 5.08268i | 0.360000 | − | 0.207846i | ||||
\(599\) | 19.2164 | − | 11.0946i | 0.785162 | − | 0.453313i | −0.0530949 | − | 0.998589i | \(-0.516909\pi\) |
0.838256 | + | 0.545276i | \(0.183575\pi\) | |||||||
\(600\) | 8.64886 | − | 0.444174i | 0.353088 | − | 0.0181333i | ||||
\(601\) | 17.2042 | + | 9.93286i | 0.701775 | + | 0.405170i | 0.808008 | − | 0.589171i | \(-0.200546\pi\) |
−0.106233 | + | 0.994341i | \(0.533879\pi\) | |||||||
\(602\) | 2.65343 | − | 1.53196i | 0.108146 | − | 0.0624379i | ||||
\(603\) | −6.39962 | + | 26.3757i | −0.260613 | + | 1.07410i | ||||
\(604\) | − | 18.6368i | − | 0.758322i | ||||||
\(605\) | 7.85989 | − | 0.671002i | 0.319550 | − | 0.0272801i | ||||
\(606\) | 24.7591 | − | 10.6020i | 1.00577 | − | 0.430675i | ||||
\(607\) | 9.96246 | − | 5.75183i | 0.404364 | − | 0.233460i | −0.284001 | − | 0.958824i | \(-0.591662\pi\) |
0.688365 | + | 0.725364i | \(0.258329\pi\) | |||||||
\(608\) | 0.217690 | − | 0.377051i | 0.00882851 | − | 0.0152914i | ||||
\(609\) | −1.31485 | + | 10.9954i | −0.0532805 | + | 0.445558i | ||||
\(610\) | 5.97665 | − | 4.16620i | 0.241987 | − | 0.168684i | ||||
\(611\) | −2.93005 | − | 5.07500i | −0.118537 | − | 0.205312i | ||||
\(612\) | −18.3105 | + | 5.37577i | −0.740157 | + | 0.217303i | ||||
\(613\) | 6.19651 | − | 10.7327i | 0.250275 | − | 0.433488i | −0.713327 | − | 0.700832i | \(-0.752812\pi\) |
0.963601 | + | 0.267343i | \(0.0861458\pi\) | |||||||
\(614\) | 10.3344 | + | 5.96659i | 0.417064 | + | 0.240792i | ||||
\(615\) | 0.340598 | − | 10.0574i | 0.0137342 | − | 0.405552i | ||||
\(616\) | 4.93642i | 0.198894i | ||||||||
\(617\) | −2.85076 | + | 4.93766i | −0.114767 | + | 0.198783i | −0.917687 | − | 0.397305i | \(-0.869946\pi\) |
0.802919 | + | 0.596087i | \(0.203279\pi\) | |||||||
\(618\) | 22.6705 | + | 16.9715i | 0.911941 | + | 0.682694i | ||||
\(619\) | − | 31.2487i | − | 1.25599i | −0.778217 | − | 0.627995i | \(-0.783876\pi\) | ||
0.778217 | − | 0.627995i | \(-0.216124\pi\) | |||||||
\(620\) | −11.2546 | + | 5.32299i | −0.451995 | + | 0.213776i | ||||
\(621\) | −4.87086 | + | 13.0573i | −0.195461 | + | 0.523970i | ||||
\(622\) | 0.401203i | 0.0160868i | ||||||||
\(623\) | 3.64008 | + | 2.10160i | 0.145837 | + | 0.0841988i | ||||
\(624\) | −3.93422 | + | 5.25532i | −0.157495 | + | 0.210381i | ||||
\(625\) | −19.0153 | − | 16.2302i | −0.760611 | − | 0.649207i | ||||
\(626\) | −10.0123 | + | 17.3418i | −0.400173 | + | 0.693120i | ||||
\(627\) | −0.811421 | − | 1.89494i | −0.0324050 | − | 0.0756764i | ||||
\(628\) | − | 11.8145i | − | 0.471450i | ||||||
\(629\) | 59.0462 | − | 34.0903i | 2.35433 | − | 1.35927i | ||||
\(630\) | −9.44653 | − | 7.58402i | −0.376359 | − | 0.302154i | ||||
\(631\) | −16.5180 | + | 9.53670i | −0.657573 | + | 0.379650i | −0.791352 | − | 0.611361i | \(-0.790622\pi\) |
0.133779 | + | 0.991011i | \(0.457289\pi\) | |||||||
\(632\) | 0.884726 | + | 0.510797i | 0.0351925 | + | 0.0203184i | ||||
\(633\) | 44.1236 | + | 5.27637i | 1.75375 | + | 0.209717i | ||||
\(634\) | −14.0966 | + | 24.4161i | −0.559849 | + | 0.969687i | ||||
\(635\) | 13.0262 | − | 1.11205i | 0.516928 | − | 0.0441303i | ||||
\(636\) | −13.3160 | − | 9.96857i | −0.528013 | − | 0.395280i | ||||
\(637\) | −7.08536 | + | 12.2722i | −0.280732 | + | 0.486242i | ||||
\(638\) | −4.83882 | − | 8.38108i | −0.191571 | − | 0.331810i | ||||
\(639\) | 4.67327 | − | 19.2607i | 0.184872 | − | 0.761941i | ||||
\(640\) | 1.27870 | + | 1.83437i | 0.0505451 | + | 0.0725099i | ||||
\(641\) | −12.2113 | − | 21.1506i | −0.482318 | − | 0.835400i | 0.517475 | − | 0.855698i | \(-0.326872\pi\) |
−0.999794 | + | 0.0202979i | \(0.993539\pi\) | |||||||
\(642\) | 9.31253 | + | 1.11361i | 0.367536 | + | 0.0439506i | ||||
\(643\) | 26.0049 | 1.02553 | 0.512767 | − | 0.858528i | \(-0.328621\pi\) | ||||
0.512767 | + | 0.858528i | \(0.328621\pi\) | |||||||
\(644\) | −2.42171 | + | 4.19452i | −0.0954286 | + | 0.165287i | ||||
\(645\) | −3.09102 | − | 5.79861i | −0.121709 | − | 0.228320i | ||||
\(646\) | 2.39846 | − | 1.38475i | 0.0943660 | − | 0.0544822i | ||||
\(647\) | − | 40.9565i | − | 1.61016i | −0.593163 | − | 0.805082i | \(-0.702121\pi\) | ||
0.593163 | − | 0.805082i | \(-0.297879\pi\) | |||||||
\(648\) | −0.427634 | − | 8.98983i | −0.0167991 | − | 0.353154i | ||||
\(649\) | − | 34.3503i | − | 1.34837i | ||||||
\(650\) | 18.6767 | − | 3.21228i | 0.732560 | − | 0.125996i | ||||
\(651\) | 16.7079 | + | 4.91307i | 0.654834 | + | 0.192558i | ||||
\(652\) | 20.5432i | 0.804532i | ||||||||
\(653\) | 47.4222 | 1.85577 | 0.927886 | − | 0.372863i | \(-0.121624\pi\) | ||||
0.927886 | + | 0.372863i | \(0.121624\pi\) | |||||||
\(654\) | 2.10505 | + | 4.91598i | 0.0823140 | + | 0.192230i | ||||
\(655\) | −2.93247 | − | 34.3499i | −0.114581 | − | 1.34216i | ||||
\(656\) | 2.25018 | − | 1.29914i | 0.0878549 | − | 0.0507231i | ||||
\(657\) | 21.7858 | + | 5.28595i | 0.849944 | + | 0.206224i | ||||
\(658\) | 2.41805 | + | 1.39606i | 0.0942653 | + | 0.0544241i | ||||
\(659\) | 16.2173i | 0.631737i | 0.948803 | + | 0.315868i | \(0.102296\pi\) | ||||
−0.948803 | + | 0.315868i | \(0.897704\pi\) | |||||||
\(660\) | 10.5808 | + | 0.358326i | 0.411858 | + | 0.0139478i | ||||
\(661\) | 6.59103 | + | 11.4160i | 0.256361 | + | 0.444031i | 0.965264 | − | 0.261275i | \(-0.0841430\pi\) |
−0.708903 | + | 0.705306i | \(0.750810\pi\) | |||||||
\(662\) | 7.83238 | − | 4.52202i | 0.304414 | − | 0.175753i | ||||
\(663\) | −38.3879 | + | 16.4379i | −1.49086 | + | 0.638396i | ||||
\(664\) | −1.00160 | + | 0.578276i | −0.0388698 | + | 0.0224415i | ||||
\(665\) | 1.59181 | + | 0.746353i | 0.0617278 | + | 0.0289423i | ||||
\(666\) | 9.05811 | + | 30.8529i | 0.350995 | + | 1.19553i | ||||
\(667\) | − | 9.49530i | − | 0.367659i | ||||||
\(668\) | −9.55459 | − | 5.51635i | −0.369678 | − | 0.213434i | ||||
\(669\) | 7.74422 | + | 0.926066i | 0.299409 | + | 0.0358038i | ||||
\(670\) | 18.3163 | + | 8.58798i | 0.707622 | + | 0.331783i | ||||
\(671\) | 7.71302 | − | 4.45311i | 0.297758 | − | 0.171910i | ||||
\(672\) | 0.371391 | − | 3.10575i | 0.0143267 | − | 0.119807i | ||||
\(673\) | −9.84175 | − | 17.0464i | −0.379371 | − | 0.657091i | 0.611600 | − | 0.791168i | \(-0.290526\pi\) |
−0.990971 | + | 0.134077i | \(0.957193\pi\) | |||||||
\(674\) | −24.7796 | −0.954476 | ||||||||
\(675\) | −16.9415 | + | 19.6974i | −0.652077 | + | 0.758153i | ||||
\(676\) | −0.682746 | + | 1.18255i | −0.0262594 | + | 0.0454827i | ||||
\(677\) | −8.27505 | + | 4.77760i | −0.318036 | + | 0.183618i | −0.650517 | − | 0.759492i | \(-0.725448\pi\) |
0.332481 | + | 0.943110i | \(0.392114\pi\) | |||||||
\(678\) | −12.1437 | + | 16.2215i | −0.466376 | + | 0.622984i | ||||
\(679\) | −10.6672 | + | 18.4761i | −0.409368 | + | 0.709047i | ||||
\(680\) | 1.20989 | + | 14.1723i | 0.0463974 | + | 0.543483i | ||||
\(681\) | −14.5848 | + | 19.4823i | −0.558889 | + | 0.746562i | ||||
\(682\) | −14.2620 | + | 5.31331i | −0.546122 | + | 0.203457i | ||||
\(683\) | 4.31865 | 0.165249 | 0.0826244 | − | 0.996581i | \(-0.473670\pi\) | ||||
0.0826244 | + | 0.996581i | \(0.473670\pi\) | |||||||
\(684\) | 0.367941 | + | 1.25325i | 0.0140686 | + | 0.0479191i | ||||
\(685\) | −13.4475 | − | 6.30512i | −0.513802 | − | 0.240906i | ||||
\(686\) | − | 19.3930i | − | 0.740428i | ||||||
\(687\) | 4.47261 | − | 37.4022i | 0.170641 | − | 1.42698i | ||||
\(688\) | 0.848315 | − | 1.46932i | 0.0323417 | − | 0.0560175i | ||||
\(689\) | −31.5228 | − | 18.1997i | −1.20092 | − | 0.693354i | ||||
\(690\) | 8.81483 | + | 5.49521i | 0.335575 | + | 0.209199i | ||||
\(691\) | 1.62251 | + | 2.81027i | 0.0617232 | + | 0.106908i | 0.895236 | − | 0.445593i | \(-0.147007\pi\) |
−0.833513 | + | 0.552501i | \(0.813674\pi\) | |||||||
\(692\) | −13.0225 | − | 22.5556i | −0.495039 | − | 0.857433i | ||||
\(693\) | −10.7176 | − | 10.2199i | −0.407129 | − | 0.388223i | ||||
\(694\) | −1.62104 | − | 0.935905i | −0.0615337 | − | 0.0355265i | ||||
\(695\) | −18.4376 | + | 12.8525i | −0.699379 | + | 0.487522i | ||||
\(696\) | 2.41379 | + | 5.63700i | 0.0914946 | + | 0.213670i | ||||
\(697\) | 16.5280 | 0.626042 | ||||||||
\(698\) | 7.55278 | 0.285877 | ||||||||
\(699\) | −6.00058 | − | 14.0133i | −0.226963 | − | 0.530033i | ||||
\(700\) | −6.94127 | + | 5.77485i | −0.262355 | + | 0.218269i | ||||
\(701\) | 39.4575 | + | 22.7808i | 1.49029 | + | 0.860419i | 0.999938 | − | 0.0111057i | \(-0.00353513\pi\) |
0.490351 | + | 0.871525i | \(0.336868\pi\) | |||||||
\(702\) | −3.26494 | − | 19.4219i | −0.123227 | − | 0.733031i | ||||
\(703\) | −2.33329 | − | 4.04137i | −0.0880016 | − | 0.152423i | ||||
\(704\) | 1.36676 | + | 2.36730i | 0.0515118 | + | 0.0892211i | ||||
\(705\) | 3.16787 | − | 5.08156i | 0.119309 | − | 0.191383i | ||||
\(706\) | −10.3150 | − | 5.95534i | −0.388208 | − | 0.224132i | ||||
\(707\) | −14.0408 | + | 24.3193i | −0.528058 | + | 0.914623i | ||||
\(708\) | −2.58434 | + | 21.6115i | −0.0971254 | + | 0.812210i | ||||
\(709\) | − | 11.3089i | − | 0.424715i | −0.977192 | − | 0.212357i | \(-0.931886\pi\) | ||
0.977192 | − | 0.212357i | \(-0.0681141\pi\) | |||||||
\(710\) | −13.3754 | − | 6.27130i | −0.501968 | − | 0.235358i | ||||
\(711\) | −2.94067 | + | 0.863350i | −0.110284 | + | 0.0323782i | ||||
\(712\) | 2.32751 | 0.0872270 | ||||||||
\(713\) | −14.7252 | − | 2.48190i | −0.551462 | − | 0.0929479i | ||||
\(714\) | 11.9239 | − | 15.9280i | 0.446242 | − | 0.596089i | ||||
\(715\) | 23.0830 | − | 1.97060i | 0.863254 | − | 0.0736963i | ||||
\(716\) | 2.35224 | − | 4.07419i | 0.0879071 | − | 0.152260i | ||||
\(717\) | 15.3592 | − | 20.5168i | 0.573602 | − | 0.766215i | ||||
\(718\) | −30.4010 | + | 17.5520i | −1.13456 | + | 0.655036i | ||||
\(719\) | −9.66837 | + | 16.7461i | −0.360570 | + | 0.624525i | −0.988055 | − | 0.154104i | \(-0.950751\pi\) |
0.627485 | + | 0.778629i | \(0.284084\pi\) | |||||||
\(720\) | −6.62997 | − | 1.02149i | −0.247085 | − | 0.0380686i | ||||
\(721\) | −29.5264 | −1.09962 | ||||||||
\(722\) | 9.40522 | + | 16.2903i | 0.350026 | + | 0.606263i | ||||
\(723\) | 1.88041 | − | 15.7249i | 0.0699333 | − | 0.584816i | ||||
\(724\) | −2.33559 | + | 1.34845i | −0.0868016 | + | 0.0501149i | ||||
\(725\) | 6.12425 | − | 16.6086i | 0.227449 | − | 0.616828i | ||||
\(726\) | −6.06716 | − | 0.725521i | −0.225173 | − | 0.0269266i | ||||
\(727\) | −6.15704 | − | 3.55477i | −0.228352 | − | 0.131839i | 0.381460 | − | 0.924386i | \(-0.375422\pi\) |
−0.609812 | + | 0.792546i | \(0.708755\pi\) | |||||||
\(728\) | − | 6.84462i | − | 0.253679i | ||||||
\(729\) | 20.4035 | + | 17.6833i | 0.755684 | + | 0.654937i | ||||
\(730\) | 7.09348 | − | 15.1289i | 0.262542 | − | 0.559945i | ||||
\(731\) | 9.34652 | − | 5.39622i | 0.345694 | − | 0.199586i | ||||
\(732\) | −5.18767 | + | 2.22139i | −0.191742 | + | 0.0821049i | ||||
\(733\) | −38.5132 | + | 22.2356i | −1.42252 | + | 0.821290i | −0.996513 | − | 0.0834322i | \(-0.973412\pi\) |
−0.426002 | + | 0.904722i | \(0.640078\pi\) | |||||||
\(734\) | −10.3863 | − | 17.9896i | −0.383364 | − | 0.664006i | ||||
\(735\) | −14.4720 | − | 0.490102i | −0.533807 | − | 0.0180777i | ||||
\(736\) | 2.68202i | 0.0988607i | ||||||||
\(737\) | 21.4170 | + | 12.3651i | 0.788906 | + | 0.455475i | ||||
\(738\) | −1.83796 | + | 7.57508i | −0.0676564 | + | 0.278842i | ||||
\(739\) | 23.8106 | − | 13.7470i | 0.875886 | − | 0.505693i | 0.00658608 | − | 0.999978i | \(-0.497904\pi\) |
0.869300 | + | 0.494285i | \(0.164570\pi\) | |||||||
\(740\) | 23.8802 | − | 2.03866i | 0.877852 | − | 0.0749426i | ||||
\(741\) | 1.12508 | + | 2.62743i | 0.0413308 | + | 0.0965211i | ||||
\(742\) | 17.3430 | 0.636681 | ||||||||
\(743\) | 21.7557i | 0.798138i | 0.916921 | + | 0.399069i | \(0.130667\pi\) | ||||
−0.916921 | + | 0.399069i | \(0.869333\pi\) | |||||||
\(744\) | 9.37271 | − | 2.26987i | 0.343620 | − | 0.0832174i | ||||
\(745\) | 1.41773 | + | 16.6068i | 0.0519416 | + | 0.608426i | ||||
\(746\) | − | 17.6858i | − | 0.647524i | ||||||
\(747\) | 0.818116 | − | 3.37182i | 0.0299333 | − | 0.123369i | ||||
\(748\) | 17.3882i | 0.635777i | ||||||||
\(749\) | −8.46857 | + | 4.88933i | −0.309435 | + | 0.178652i | ||||
\(750\) | 11.8741 | + | 15.2973i | 0.433580 | + | 0.558577i | ||||
\(751\) | −6.82872 | + | 11.8277i | −0.249184 | + | 0.431599i | −0.963300 | − | 0.268429i | \(-0.913496\pi\) |
0.714116 | + | 0.700028i | \(0.246829\pi\) | |||||||
\(752\) | 1.54613 | 0.0563814 | ||||||||
\(753\) | −40.3499 | − | 4.82510i | −1.47043 | − | 0.175837i | ||||
\(754\) | 6.70929 | + | 11.6208i | 0.244338 | + | 0.423206i | ||||
\(755\) | 34.1869 | − | 23.8310i | 1.24419 | − | 0.867297i | ||||
\(756\) | 5.97410 | + | 7.23621i | 0.217276 | + | 0.263178i | ||||
\(757\) | −23.9396 | − | 41.4647i | −0.870101 | − | 1.50706i | −0.861892 | − | 0.507093i | \(-0.830720\pi\) |
−0.00820943 | − | 0.999966i | \(-0.502613\pi\) | |||||||
\(758\) | 4.38746 | − | 7.59930i | 0.159360 | − | 0.276019i | ||||
\(759\) | 10.1654 | + | 7.60999i | 0.368981 | + | 0.276225i | ||||
\(760\) | 0.970012 | − | 0.0828103i | 0.0351860 | − | 0.00300385i | ||||
\(761\) | −10.0986 | + | 17.4912i | −0.366073 | + | 0.634057i | −0.988948 | − | 0.148265i | \(-0.952631\pi\) |
0.622875 | + | 0.782321i | \(0.285965\pi\) | |||||||
\(762\) | −10.0551 | − | 1.20240i | −0.364258 | − | 0.0435585i | ||||
\(763\) | −4.82868 | − | 2.78784i | −0.174810 | − | 0.100926i | ||||
\(764\) | −14.5902 | + | 8.42368i | −0.527857 | + | 0.304758i | ||||
\(765\) | −33.2748 | − | 26.7142i | −1.20305 | − | 0.965854i | ||||
\(766\) | 32.0004 | − | 18.4754i | 1.15622 | − | 0.667544i | ||||
\(767\) | 47.6286i | 1.71977i | ||||||||
\(768\) | −0.681795 | − | 1.59222i | −0.0246022 | − | 0.0574542i | ||||
\(769\) | −9.43636 | + | 16.3443i | −0.340284 | + | 0.589389i | −0.984485 | − | 0.175467i | \(-0.943856\pi\) |
0.644201 | + | 0.764856i | \(0.277190\pi\) | |||||||
\(770\) | −9.05524 | + | 6.31221i | −0.326328 | + | 0.227476i | ||||
\(771\) | −19.6385 | + | 26.2331i | −0.707264 | + | 0.944761i | ||||
\(772\) | 14.2645 | + | 8.23560i | 0.513390 | + | 0.296406i | ||||
\(773\) | − | 41.2864i | − | 1.48497i | −0.669863 | − | 0.742485i | \(-0.733647\pi\) | ||
0.669863 | − | 0.742485i | \(-0.266353\pi\) | |||||||
\(774\) | 1.43382 | + | 4.88376i | 0.0515377 | + | 0.175543i | ||||
\(775\) | −24.1556 | − | 13.8386i | −0.867695 | − | 0.497097i | ||||
\(776\) | 11.8138i | 0.424091i | ||||||||
\(777\) | −26.8384 | − | 20.0917i | −0.962823 | − | 0.720786i | ||||
\(778\) | 15.0730 | − | 26.1072i | 0.540394 | − | 0.935989i | ||||
\(779\) | − | 1.13124i | − | 0.0405310i | ||||||
\(780\) | −14.6709 | − | 0.496838i | −0.525303 | − | 0.0177897i | ||||
\(781\) | −15.6396 | − | 9.02953i | −0.559629 | − | 0.323102i | ||||
\(782\) | −8.53031 | + | 14.7749i | −0.305043 | + | 0.528350i | ||||
\(783\) | −17.2360 | − | 6.42968i | −0.615964 | − | 0.229778i | ||||
\(784\) | −1.86940 | − | 3.23789i | −0.0667642 | − | 0.115639i | ||||
\(785\) | 21.6722 | − | 15.1072i | 0.773515 | − | 0.539201i | ||||
\(786\) | −3.17073 | + | 26.5152i | −0.113096 | + | 0.945766i | ||||
\(787\) | −27.0761 | + | 46.8971i | −0.965157 | + | 1.67170i | −0.255966 | + | 0.966686i | \(0.582393\pi\) |
−0.709192 | + | 0.705016i | \(0.750940\pi\) | |||||||
\(788\) | −0.508531 | + | 0.293601i | −0.0181157 | + | 0.0104591i | ||||
\(789\) | 14.9145 | − | 6.38645i | 0.530969 | − | 0.227364i | ||||
\(790\) | 0.194309 | + | 2.27607i | 0.00691322 | + | 0.0809791i | ||||
\(791\) | − | 21.1272i | − | 0.751197i | ||||||
\(792\) | −7.96935 | − | 1.93363i | −0.283179 | − | 0.0687084i | ||||
\(793\) | −10.6945 | + | 6.17448i | −0.379773 | + | 0.219262i | ||||
\(794\) | 18.5049 | + | 10.6838i | 0.656713 | + | 0.379153i | ||||
\(795\) | 1.25889 | − | 37.1733i | 0.0446484 | − | 1.31840i | ||||
\(796\) | 0.625276 | − | 0.361003i | 0.0221623 | − | 0.0127954i | ||||
\(797\) | −34.2218 | + | 19.7580i | −1.21220 | + | 0.699864i | −0.963238 | − | 0.268649i | \(-0.913423\pi\) |
−0.248962 | + | 0.968513i | \(0.580089\pi\) | |||||||
\(798\) | −1.09018 | − | 0.816125i | −0.0385918 | − | 0.0288905i | ||||
\(799\) | 8.51742 | + | 4.91753i | 0.301325 | + | 0.173970i | ||||
\(800\) | −1.72984 | + | 4.69123i | −0.0611592 | + | 0.165860i | ||||
\(801\) | −4.81866 | + | 5.05332i | −0.170259 | + | 0.178550i | ||||
\(802\) | −10.2194 | −0.360858 | ||||||||
\(803\) | 10.2133 | − | 17.6900i | 0.360420 | − | 0.624266i | ||||
\(804\) | −12.5442 | − | 9.39082i | −0.442401 | − | 0.331189i | ||||
\(805\) | −10.7909 | + | 0.921228i | −0.380331 | + | 0.0324690i | ||||
\(806\) | 19.7751 | − | 7.36719i | 0.696548 | − | 0.259498i | ||||
\(807\) | −10.3642 | + | 13.8444i | −0.364836 | + | 0.487347i | ||||
\(808\) | 15.5501i | 0.547049i | ||||||||
\(809\) | −15.4256 | + | 26.7179i | −0.542335 | + | 0.939352i | 0.456434 | + | 0.889757i | \(0.349126\pi\) |
−0.998769 | + | 0.0495948i | \(0.984207\pi\) | |||||||
\(810\) | 15.9439 | − | 12.2798i | 0.560211 | − | 0.431467i | ||||
\(811\) | 18.5015 | + | 32.0456i | 0.649676 | + | 1.12527i | 0.983200 | + | 0.182531i | \(0.0584289\pi\) |
−0.333524 | + | 0.942742i | \(0.608238\pi\) | |||||||
\(812\) | −5.53689 | − | 3.19672i | −0.194307 | − | 0.112183i | ||||
\(813\) | −22.9002 | + | 9.80597i | −0.803144 | + | 0.343910i | ||||
\(814\) | 29.2990 | 1.02693 | ||||||||
\(815\) | −37.6838 | + | 26.2686i | −1.32001 | + | 0.920148i | ||||
\(816\) | 1.30820 | − | 10.9398i | 0.0457962 | − | 0.382970i | ||||
\(817\) | −0.369340 | − | 0.639715i | −0.0129216 | − | 0.0223808i | ||||
\(818\) | −21.7788 | − | 12.5740i | −0.761478 | − | 0.439639i | ||||
\(819\) | 14.8606 | + | 14.1705i | 0.519271 | + | 0.495157i | ||||
\(820\) | 5.26043 | + | 2.46646i | 0.183702 | + | 0.0861324i | ||||
\(821\) | −27.5335 | −0.960924 | −0.480462 | − | 0.877016i | \(-0.659531\pi\) | ||||
−0.480462 | + | 0.877016i | \(0.659531\pi\) | |||||||
\(822\) | 9.20972 | + | 6.89455i | 0.321226 | + | 0.240475i | ||||
\(823\) | −27.1266 | + | 46.9846i | −0.945573 | + | 1.63778i | −0.190972 | + | 0.981596i | \(0.561164\pi\) |
−0.754601 | + | 0.656184i | \(0.772169\pi\) | |||||||
\(824\) | −14.1597 | + | 8.17508i | −0.493275 | + | 0.284792i | ||||
\(825\) | 12.8724 | + | 19.8674i | 0.448161 | + | 0.691694i | ||||
\(826\) | −11.3466 | − | 19.6529i | −0.394800 | − | 0.683813i | ||||
\(827\) | 28.8678 | − | 16.6668i | 1.00383 | − | 0.579562i | 0.0944515 | − | 0.995529i | \(-0.469890\pi\) |
0.909380 | + | 0.415967i | \(0.136557\pi\) | |||||||
\(828\) | −5.82303 | − | 5.55262i | −0.202364 | − | 0.192967i | ||||
\(829\) | 21.4599i | 0.745334i | 0.927965 | + | 0.372667i | \(0.121557\pi\) | ||||
−0.927965 | + | 0.372667i | \(0.878443\pi\) | |||||||
\(830\) | −2.34153 | − | 1.09787i | −0.0812755 | − | 0.0381077i | ||||
\(831\) | 7.34358 | + | 17.1497i | 0.254746 | + | 0.594915i | ||||
\(832\) | −1.89509 | − | 3.28240i | −0.0657005 | − | 0.113797i | ||||
\(833\) | − | 23.7828i | − | 0.824027i | ||||||
\(834\) | 16.0037 | − | 6.85286i | 0.554162 | − | 0.237295i | ||||
\(835\) | −2.09844 | − | 24.5804i | −0.0726196 | − | 0.850641i | ||||
\(836\) | 1.19012 | 0.0411613 | ||||||||
\(837\) | −14.4762 | + | 25.0487i | −0.500372 | + | 0.865811i | ||||
\(838\) | 21.1866i | 0.731878i | ||||||||
\(839\) | 10.3784i | 0.358302i | 0.983822 | + | 0.179151i | \(0.0573350\pi\) | ||||
−0.983822 | + | 0.179151i | \(0.942665\pi\) | |||||||
\(840\) | 6.17200 | − | 3.29006i | 0.212954 | − | 0.113518i | ||||
\(841\) | −16.4659 | −0.567791 | ||||||||
\(842\) | −3.99936 | − | 6.92709i | −0.137827 | − | 0.238723i | ||||
\(843\) | −24.0734 | + | 10.3084i | −0.829132 | + | 0.355039i | ||||
\(844\) | −12.8281 | + | 22.2190i | −0.441562 | + | 0.764808i | ||||
\(845\) | −3.04226 | + | 0.259719i | −0.104657 | + | 0.00893462i | ||||
\(846\) | −3.20096 | + | 3.35685i | −0.110051 | + | 0.115411i | ||||
\(847\) | 5.51732 | − | 3.18542i | 0.189577 | − | 0.109452i | ||||
\(848\) | 8.31697 | − | 4.80180i | 0.285606 | − | 0.164895i | ||||
\(849\) | −24.5397 | + | 10.5080i | −0.842202 | + | 0.360635i | ||||
\(850\) | −24.4502 | + | 20.3415i | −0.838634 | + | 0.697709i | ||||
\(851\) | 24.8956 | + | 14.3735i | 0.853409 | + | 0.492716i | ||||
\(852\) | 9.16032 | + | 6.85757i | 0.313827 | + | 0.234936i | ||||
\(853\) | − | 31.6014i | − | 1.08201i | −0.841019 | − | 0.541005i | \(-0.818044\pi\) | ||
0.841019 | − | 0.541005i | \(-0.181956\pi\) | |||||||
\(854\) | 2.94191 | − | 5.09554i | 0.100670 | − | 0.174366i | ||||
\(855\) | −1.82843 | + | 2.27747i | −0.0625311 | + | 0.0778878i | ||||
\(856\) | −2.70745 | + | 4.68944i | −0.0925387 | + | 0.160282i | ||||
\(857\) | 8.70164 | + | 15.0717i | 0.297242 | + | 0.514839i | 0.975504 | − | 0.219981i | \(-0.0705997\pi\) |
−0.678262 | + | 0.734821i | \(0.737266\pi\) | |||||||
\(858\) | −17.8181 | − | 2.13072i | −0.608299 | − | 0.0727414i | ||||
\(859\) | −14.3943 | + | 8.31055i | −0.491127 | + | 0.283552i | −0.725042 | − | 0.688705i | \(-0.758180\pi\) |
0.233915 | + | 0.972257i | \(0.424846\pi\) | |||||||
\(860\) | 3.78003 | − | 0.322703i | 0.128898 | − | 0.0110041i | ||||
\(861\) | −3.19912 | − | 7.47100i | −0.109026 | − | 0.254611i | ||||
\(862\) | 20.4694 | + | 11.8180i | 0.697190 | + | 0.402523i | ||||
\(863\) | −24.2209 | + | 13.9839i | −0.824488 | + | 0.476018i | −0.851962 | − | 0.523604i | \(-0.824587\pi\) |
0.0274739 | + | 0.999623i | \(0.491254\pi\) | |||||||
\(864\) | 4.86844 | + | 1.81611i | 0.165628 | + | 0.0617855i | ||||
\(865\) | 24.7234 | − | 52.7299i | 0.840622 | − | 1.79287i | ||||
\(866\) | −10.0836 | −0.342656 | ||||||||
\(867\) | 24.3553 | − | 32.5337i | 0.827148 | − | 1.10490i | ||||
\(868\) | −6.40468 | + | 7.75097i | −0.217389 | + | 0.263085i | ||||
\(869\) | 2.79255i | 0.0947309i | ||||||||
\(870\) | −7.25384 | + | 11.6358i | −0.245928 | + | 0.394492i | ||||
\(871\) | −29.6959 | − | 17.1449i | −1.00621 | − | 0.580933i | ||||
\(872\) | −3.08751 | −0.104556 | ||||||||
\(873\) | −25.6493 | − | 24.4582i | −0.868099 | − | 0.827786i | ||||
\(874\) | 1.01126 | + | 0.583850i | 0.0342063 | + | 0.0197490i | ||||
\(875\) | −19.4690 | − | 5.34856i | −0.658174 | − | 0.180814i | ||||
\(876\) | −7.75661 | + | 10.3613i | −0.262071 | + | 0.350074i | ||||
\(877\) | 38.0665 | − | 21.9777i | 1.28541 | − | 0.742134i | 0.307581 | − | 0.951522i | \(-0.400481\pi\) |
0.977833 | + | 0.209388i | \(0.0671472\pi\) | |||||||
\(878\) | −19.2622 | − | 33.3630i | −0.650066 | − | 1.12595i | ||||
\(879\) | −58.0145 | − | 6.93747i | −1.95678 | − | 0.233995i | ||||
\(880\) | −2.59483 | + | 5.53423i | −0.0874718 | + | 0.186559i | ||||
\(881\) | 13.9628 | + | 24.1844i | 0.470420 | + | 0.814792i | 0.999428 | − | 0.0338253i | \(-0.0107690\pi\) |
−0.529007 | + | 0.848617i | \(0.677436\pi\) | |||||||
\(882\) | 10.9001 | + | 2.64473i | 0.367026 | + | 0.0890526i | ||||
\(883\) | 24.3754 | 0.820297 | 0.410148 | − | 0.912019i | \(-0.365477\pi\) | ||||
0.410148 | + | 0.912019i | \(0.365477\pi\) | |||||||
\(884\) | − | 24.1097i | − | 0.810898i | ||||||
\(885\) | −42.9481 | + | 22.8940i | −1.44369 | + | 0.769574i | ||||
\(886\) | 11.5516 | + | 20.0079i | 0.388082 | + | 0.672178i | ||||
\(887\) | −4.78670 | + | 8.29081i | −0.160722 | + | 0.278378i | −0.935128 | − | 0.354311i | \(-0.884715\pi\) |
0.774406 | + | 0.632689i | \(0.218049\pi\) | |||||||
\(888\) | −18.4334 | − | 2.20430i | −0.618586 | − | 0.0739715i | ||||
\(889\) | 9.14384 | − | 5.27920i | 0.306674 | − | 0.177059i | ||||
\(890\) | 2.97619 | + | 4.26951i | 0.0997620 | + | 0.143114i | ||||
\(891\) | 20.6972 | − | 13.2993i | 0.693382 | − | 0.445544i | ||||
\(892\) | −2.25149 | + | 3.89969i | −0.0753855 | + | 0.130571i | ||||
\(893\) | 0.336577 | − | 0.582968i | 0.0112631 | − | 0.0195083i | ||||
\(894\) | 1.53292 | − | 12.8190i | 0.0512686 | − | 0.428733i | ||||
\(895\) | 10.4814 | − | 0.894800i | 0.350354 | − | 0.0299099i | ||||
\(896\) | 1.56394 | + | 0.902941i | 0.0522475 | + | 0.0301651i | ||||
\(897\) | −14.0949 | − | 10.5517i | −0.470614 | − | 0.352310i | ||||
\(898\) | 15.1659 | 0.506092 | ||||||||
\(899\) | 3.27618 | − | 19.4377i | 0.109267 | − | 0.648283i | ||||
\(900\) | −6.60397 | − | 13.4680i | −0.220132 | − | 0.448934i | ||||
\(901\) | 61.0895 | 2.03519 | ||||||||
\(902\) | 6.15094 | + | 3.55124i | 0.204804 | + | 0.118244i | ||||
\(903\) | −4.24830 | − | 3.18035i | −0.141375 | − | 0.105835i | ||||
\(904\) | −5.84956 | − | 10.1317i | −0.194553 | − | 0.336976i | ||||
\(905\) | −5.46009 | − | 2.56007i | −0.181500 | − | 0.0850997i | ||||
\(906\) | −29.6739 | + | 12.7065i | −0.985849 | + | 0.422146i | ||||
\(907\) | − | 51.8786i | − | 1.72260i | −0.508095 | − | 0.861301i | \(-0.669650\pi\) | ||
0.508095 | − | 0.861301i | \(-0.330350\pi\) | |||||||
\(908\) | −7.02539 | − | 12.1683i | −0.233146 | − | 0.403820i | ||||
\(909\) | −33.7613 | − | 32.1935i | −1.11979 | − | 1.06779i | ||||
\(910\) | 12.5556 | − | 8.75223i | 0.416214 | − | 0.290134i | ||||
\(911\) | 12.2756 | − | 21.2619i | 0.406708 | − | 0.704439i | −0.587810 | − | 0.808999i | \(-0.700010\pi\) |
0.994519 | + | 0.104559i | \(0.0333432\pi\) | |||||||
\(912\) | −0.748767 | − | 0.0895387i | −0.0247941 | − | 0.00296492i | ||||
\(913\) | −2.73791 | − | 1.58073i | −0.0906116 | − | 0.0523146i | ||||
\(914\) | 39.7824 | 1.31588 | ||||||||
\(915\) | −10.7083 | − | 6.67563i | −0.354007 | − | 0.220690i | ||||
\(916\) | 18.8343 | + | 10.8740i | 0.622304 | + | 0.359287i | ||||
\(917\) | −13.9212 | − | 24.1122i | −0.459719 | − | 0.796256i | ||||
\(918\) | 21.0434 | + | 25.4891i | 0.694536 | + | 0.841265i | ||||
\(919\) | −18.2267 | − | 31.5695i | −0.601243 | − | 1.04138i | −0.992633 | − | 0.121158i | \(-0.961339\pi\) |
0.391390 | − | 0.920225i | \(-0.371994\pi\) | |||||||
\(920\) | −4.91983 | + | 3.42951i | −0.162202 | + | 0.113067i | ||||
\(921\) | 2.45414 | − | 20.5227i | 0.0808665 | − | 0.676245i | ||||
\(922\) | −23.1667 | −0.762954 | ||||||||
\(923\) | 21.6852 | + | 12.5199i | 0.713776 | + | 0.412099i | ||||
\(924\) | 7.85986 | − | 3.36563i | 0.258570 | − | 0.110721i | ||||
\(925\) | 34.2753 | + | 41.1983i | 1.12696 | + | 1.35459i | ||||
\(926\) | 30.4160 | 0.999531 | ||||||||
\(927\) | 11.5657 | − | 47.6674i | 0.379867 | − | 1.56560i | ||||
\(928\) | −3.54035 | −0.116218 | ||||||||
\(929\) | −49.3802 | −1.62011 | −0.810056 | − | 0.586353i | \(-0.800563\pi\) | ||||
−0.810056 | + | 0.586353i | \(0.800563\pi\) | |||||||
\(930\) | 16.1487 | + | 14.2906i | 0.529536 | + | 0.468606i | ||||
\(931\) | −1.62780 | −0.0533489 | ||||||||
\(932\) | 8.80114 | 0.288291 | ||||||||
\(933\) | 0.638802 | − | 0.273538i | 0.0209135 | − | 0.00895525i | ||||
\(934\) | 7.94617 | 0.260007 | ||||||||
\(935\) | −31.8965 | + | 22.2344i | −1.04313 | + | 0.727142i | ||||
\(936\) | 11.0499 | + | 2.68108i | 0.361179 | + | 0.0876338i | ||||
\(937\) | 11.3636 | + | 6.56077i | 0.371232 | + | 0.214331i | 0.673997 | − | 0.738734i | \(-0.264576\pi\) |
−0.302764 | + | 0.953065i | \(0.597910\pi\) | |||||||
\(938\) | 16.3378 | 0.533449 | ||||||||
\(939\) | 34.4383 | + | 4.11819i | 1.12385 | + | 0.134392i | ||||
\(940\) | 1.97703 | + | 2.83617i | 0.0644838 | + | 0.0925057i | ||||
\(941\) | 18.2683 | + | 31.6415i | 0.595528 | + | 1.03148i | 0.993472 | + | 0.114075i | \(0.0363905\pi\) |
−0.397944 | + | 0.917410i | \(0.630276\pi\) | |||||||
\(942\) | −18.8113 | + | 8.05508i | −0.612904 | + | 0.262449i | ||||
\(943\) | 3.48433 | + | 6.03504i | 0.113466 | + | 0.196528i | ||||
\(944\) | −10.8827 | − | 6.28315i | −0.354203 | − | 0.204499i | ||||
\(945\) | −5.63480 | + | 20.2117i | −0.183300 | + | 0.657486i | ||||
\(946\) | 4.63778 | 0.150787 | ||||||||
\(947\) | −6.64300 | − | 3.83534i | −0.215868 | − | 0.124632i | 0.388167 | − | 0.921589i | \(-0.373108\pi\) |
−0.604036 | + | 0.796957i | \(0.706442\pi\) | |||||||
\(948\) | 0.210097 | − | 1.75694i | 0.00682364 | − | 0.0570626i | ||||
\(949\) | −14.1613 | + | 24.5281i | −0.459696 | + | 0.796216i | ||||
\(950\) | 1.39226 | + | 1.67347i | 0.0451709 | + | 0.0542946i | ||||
\(951\) | 48.4867 | + | 5.79812i | 1.57229 | + | 0.188017i | ||||
\(952\) | 5.74370 | + | 9.94837i | 0.186154 | + | 0.322429i | ||||
\(953\) | − | 35.0031i | − | 1.13386i | −0.823765 | − | 0.566931i | \(-0.808130\pi\) | ||
0.823765 | − | 0.566931i | \(-0.191870\pi\) | |||||||
\(954\) | −6.79335 | + | 27.9985i | −0.219943 | + | 0.906484i | ||||
\(955\) | −34.1088 | − | 15.9926i | −1.10373 | − | 0.517507i | ||||
\(956\) | 7.39846 | + | 12.8145i | 0.239283 | + | 0.414451i | ||||
\(957\) | −10.0454 | + | 13.4186i | −0.324722 | + | 0.433763i | ||||
\(958\) | −24.5119 | − | 14.1519i | −0.791942 | − | 0.457228i | ||||
\(959\) | −11.9949 | −0.387336 | ||||||||
\(960\) | 2.04891 | − | 3.28664i | 0.0661281 | − | 0.106076i | ||||
\(961\) | −29.2873 | − | 10.1613i | −0.944753 | − | 0.327784i | ||||
\(962\) | −40.6246 | −1.30979 | ||||||||
\(963\) | −4.57614 | − | 15.5868i | −0.147464 | − | 0.502278i | ||||
\(964\) | 7.91848 | + | 4.57174i | 0.255037 | + | 0.147246i | ||||
\(965\) | 3.13286 | + | 36.6972i | 0.100850 | + | 1.18133i | ||||
\(966\) | 8.32969 | + | 0.996078i | 0.268003 | + | 0.0320483i | ||||
\(967\) | −21.3722 | + | 37.0178i | −0.687285 | + | 1.19041i | 0.285428 | + | 0.958400i | \(0.407864\pi\) |
−0.972713 | + | 0.232012i | \(0.925469\pi\) | |||||||
\(968\) | 1.76392 | − | 3.05519i | 0.0566944 | − | 0.0981976i | ||||
\(969\) | −3.84008 | − | 2.87475i | −0.123361 | − | 0.0923502i | ||||
\(970\) | −21.6709 | + | 15.1063i | −0.695811 | + | 0.485035i | ||||
\(971\) | −35.6432 | + | 20.5786i | −1.14384 | + | 0.660398i | −0.947379 | − | 0.320113i | \(-0.896279\pi\) |
−0.196464 | + | 0.980511i | \(0.562946\pi\) | |||||||
\(972\) | −14.0222 | + | 6.81012i | −0.449763 | + | 0.218435i | ||||
\(973\) | −9.07563 | + | 15.7195i | −0.290951 | + | 0.503943i | ||||
\(974\) | −0.193235 | − | 0.334692i | −0.00619164 | − | 0.0107242i | ||||
\(975\) | −17.8483 | − | 27.5472i | −0.571604 | − | 0.882217i | ||||
\(976\) | − | 3.25814i | − | 0.104291i | ||||||
\(977\) | 16.9620 | 0.542662 | 0.271331 | − | 0.962486i | \(-0.412536\pi\) | ||||
0.271331 | + | 0.962486i | \(0.412536\pi\) | |||||||
\(978\) | 32.7092 | − | 14.0062i | 1.04592 | − | 0.447870i | ||||
\(979\) | 3.18115 | + | 5.50991i | 0.101670 | + | 0.176098i | ||||
\(980\) | 3.54909 | − | 7.56947i | 0.113372 | − | 0.241798i | ||||
\(981\) | 6.39210 | − | 6.70339i | 0.204084 | − | 0.214023i | ||||
\(982\) | 10.1542 | + | 17.5877i | 0.324035 | + | 0.561245i | ||||
\(983\) | −22.0203 | + | 12.7134i | −0.702338 | + | 0.405495i | −0.808218 | − | 0.588884i | \(-0.799568\pi\) |
0.105880 | + | 0.994379i | \(0.466234\pi\) | |||||||
\(984\) | −3.60268 | − | 2.69703i | −0.114849 | − | 0.0859782i | ||||
\(985\) | −1.18883 | − | 0.557408i | −0.0378794 | − | 0.0177605i | ||||
\(986\) | −19.5033 | − | 11.2603i | −0.621113 | − | 0.358600i | ||||
\(987\) | 0.574217 | − | 4.80188i | 0.0182775 | − | 0.152846i | ||||
\(988\) | −1.65017 | −0.0524990 | ||||||||
\(989\) | 3.94076 | + | 2.27520i | 0.125309 | + | 0.0723471i | ||||
\(990\) | −6.64343 | − | 17.0913i | −0.211142 | − | 0.543197i | ||||
\(991\) | − | 20.4866i | − | 0.650778i | −0.945580 | − | 0.325389i | \(-0.894505\pi\) | ||
0.945580 | − | 0.325389i | \(-0.105495\pi\) | |||||||
\(992\) | −0.925384 | + | 5.49032i | −0.0293810 | + | 0.174318i | ||||
\(993\) | −12.5401 | − | 9.38775i | −0.397949 | − | 0.297911i | ||||
\(994\) | −11.9306 | −0.378414 | ||||||||
\(995\) | 1.46175 | + | 0.685373i | 0.0463407 | + | 0.0217278i | ||||
\(996\) | 1.60363 | + | 1.20050i | 0.0508129 | + | 0.0380394i | ||||
\(997\) | 17.1606 | − | 9.90769i | 0.543482 | − | 0.313780i | −0.203007 | − | 0.979177i | \(-0.565071\pi\) |
0.746489 | + | 0.665398i | \(0.231738\pi\) | |||||||
\(998\) | −5.94228 | − | 3.43078i | −0.188100 | − | 0.108599i | ||||
\(999\) | 42.9488 | − | 35.4579i | 1.35884 | − | 1.12184i |
(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 | 930.2.r.b.119.13 | yes | 64 | |
3.2 | odd | 2 | 930.2.r.a.119.31 | yes | 64 | ||
5.4 | even | 2 | 930.2.r.a.119.20 | ✓ | 64 | ||
15.14 | odd | 2 | inner | 930.2.r.b.119.2 | yes | 64 | |
31.6 | odd | 6 | inner | 930.2.r.b.719.2 | yes | 64 | |
93.68 | even | 6 | 930.2.r.a.719.20 | yes | 64 | ||
155.99 | odd | 6 | 930.2.r.a.719.31 | yes | 64 | ||
465.254 | even | 6 | inner | 930.2.r.b.719.13 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.r.a.119.20 | ✓ | 64 | 5.4 | even | 2 | ||
930.2.r.a.119.31 | yes | 64 | 3.2 | odd | 2 | ||
930.2.r.a.719.20 | yes | 64 | 93.68 | even | 6 | ||
930.2.r.a.719.31 | yes | 64 | 155.99 | odd | 6 | ||
930.2.r.b.119.2 | yes | 64 | 15.14 | odd | 2 | inner | |
930.2.r.b.119.13 | yes | 64 | 1.1 | even | 1 | trivial | |
930.2.r.b.719.2 | yes | 64 | 31.6 | odd | 6 | inner | |
930.2.r.b.719.13 | yes | 64 | 465.254 | even | 6 | inner |