Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(157,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.n (of order \(5\), degree \(4\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} + 9 x^{10} - 15 x^{9} + 29 x^{8} - 26 x^{7} + 43 x^{6} + 24 x^{5} + 16 x^{4} - 17 x^{3} + 14 x^{2} - 5 x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 235.2 | ||
Root | \(0.275227 - 0.199964i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 429.235 |
Dual form | 429.2.n.a.157.2 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.275227 | + | 0.199964i | 0.194615 | + | 0.141396i | 0.680825 | − | 0.732446i | \(-0.261621\pi\) |
−0.486211 | + | 0.873842i | \(0.661621\pi\) | |||||||
\(3\) | 0.309017 | − | 0.951057i | 0.178411 | − | 0.549093i | ||||
\(4\) | −0.582270 | − | 1.79204i | −0.291135 | − | 0.896021i | ||||
\(5\) | 3.18709 | − | 2.31555i | 1.42531 | − | 1.03555i | 0.434443 | − | 0.900700i | \(-0.356945\pi\) |
0.990866 | − | 0.134848i | \(-0.0430546\pi\) | |||||||
\(6\) | 0.275227 | − | 0.199964i | 0.112361 | − | 0.0816349i | ||||
\(7\) | −0.203890 | − | 0.627508i | −0.0770631 | − | 0.237176i | 0.905103 | − | 0.425193i | \(-0.139794\pi\) |
−0.982166 | + | 0.188017i | \(0.939794\pi\) | |||||||
\(8\) | 0.408342 | − | 1.25675i | 0.144371 | − | 0.444327i | ||||
\(9\) | −0.809017 | − | 0.587785i | −0.269672 | − | 0.195928i | ||||
\(10\) | 1.34020 | 0.423808 | ||||||||
\(11\) | −0.0920501 | + | 3.31535i | −0.0277541 | + | 0.999615i | ||||
\(12\) | −1.88426 | −0.543940 | ||||||||
\(13\) | −0.809017 | − | 0.587785i | −0.224381 | − | 0.163022i | ||||
\(14\) | 0.0693631 | − | 0.213478i | 0.0185381 | − | 0.0570543i | ||||
\(15\) | −1.21736 | − | 3.74665i | −0.314321 | − | 0.967380i | ||||
\(16\) | −2.68511 | + | 1.95085i | −0.671278 | + | 0.487712i | ||||
\(17\) | −0.812211 | + | 0.590106i | −0.196990 | + | 0.143122i | −0.681908 | − | 0.731438i | \(-0.738850\pi\) |
0.484918 | + | 0.874560i | \(0.338850\pi\) | |||||||
\(18\) | −0.105127 | − | 0.323548i | −0.0247787 | − | 0.0762611i | ||||
\(19\) | −1.57486 | + | 4.84691i | −0.361297 | + | 1.11196i | 0.590971 | + | 0.806693i | \(0.298745\pi\) |
−0.952268 | + | 0.305264i | \(0.901255\pi\) | |||||||
\(20\) | −6.00532 | − | 4.36312i | −1.34283 | − | 0.975623i | ||||
\(21\) | −0.659801 | −0.143980 | ||||||||
\(22\) | −0.688284 | + | 0.894065i | −0.146743 | + | 0.190615i | ||||
\(23\) | 3.10400 | 0.647228 | 0.323614 | − | 0.946189i | \(-0.395102\pi\) | ||||
0.323614 | + | 0.946189i | \(0.395102\pi\) | |||||||
\(24\) | −1.06905 | − | 0.776713i | −0.218220 | − | 0.158546i | ||||
\(25\) | 3.25065 | − | 10.0045i | 0.650130 | − | 2.00089i | ||||
\(26\) | −0.105127 | − | 0.323548i | −0.0206171 | − | 0.0634531i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | −1.00580 | + | 0.730758i | −0.190079 | + | 0.138100i | ||||
\(29\) | −0.247787 | − | 0.762610i | −0.0460129 | − | 0.141613i | 0.925411 | − | 0.378966i | \(-0.123720\pi\) |
−0.971424 | + | 0.237353i | \(0.923720\pi\) | |||||||
\(30\) | 0.414144 | − | 1.27460i | 0.0756120 | − | 0.232710i | ||||
\(31\) | 4.03228 | + | 2.92962i | 0.724218 | + | 0.526176i | 0.887729 | − | 0.460366i | \(-0.152282\pi\) |
−0.163511 | + | 0.986542i | \(0.552282\pi\) | |||||||
\(32\) | −3.77196 | −0.666795 | ||||||||
\(33\) | 3.12464 | + | 1.11204i | 0.543930 | + | 0.193582i | ||||
\(34\) | −0.341542 | −0.0585740 | ||||||||
\(35\) | −2.10284 | − | 1.52781i | −0.355445 | − | 0.258246i | ||||
\(36\) | −0.582270 | + | 1.79204i | −0.0970450 | + | 0.298674i | ||||
\(37\) | 0.206975 | + | 0.637002i | 0.0340264 | + | 0.104723i | 0.966627 | − | 0.256187i | \(-0.0824663\pi\) |
−0.932601 | + | 0.360910i | \(0.882466\pi\) | |||||||
\(38\) | −1.40265 | + | 1.01908i | −0.227540 | + | 0.165317i | ||||
\(39\) | −0.809017 | + | 0.587785i | −0.129546 | + | 0.0941210i | ||||
\(40\) | −1.60865 | − | 4.95090i | −0.254349 | − | 0.782806i | ||||
\(41\) | −0.545701 | + | 1.67949i | −0.0852241 | + | 0.262293i | −0.984583 | − | 0.174918i | \(-0.944034\pi\) |
0.899359 | + | 0.437211i | \(0.144034\pi\) | |||||||
\(42\) | −0.181595 | − | 0.131936i | −0.0280207 | − | 0.0203582i | ||||
\(43\) | 11.9438 | 1.82142 | 0.910709 | − | 0.413049i | \(-0.135536\pi\) | ||||
0.910709 | + | 0.413049i | \(0.135536\pi\) | |||||||
\(44\) | 5.99484 | − | 1.76547i | 0.903756 | − | 0.266154i | ||||
\(45\) | −3.93946 | −0.587260 | ||||||||
\(46\) | 0.854303 | + | 0.620687i | 0.125960 | + | 0.0915153i | ||||
\(47\) | 1.78728 | − | 5.50070i | 0.260702 | − | 0.802359i | −0.731950 | − | 0.681358i | \(-0.761390\pi\) |
0.992652 | − | 0.121001i | \(-0.0386104\pi\) | |||||||
\(48\) | 1.02562 | + | 3.15654i | 0.148036 | + | 0.455607i | ||||
\(49\) | 5.31092 | − | 3.85861i | 0.758703 | − | 0.551230i | ||||
\(50\) | 2.89520 | − | 2.10348i | 0.409443 | − | 0.297478i | ||||
\(51\) | 0.310237 | + | 0.954811i | 0.0434419 | + | 0.133700i | ||||
\(52\) | −0.582270 | + | 1.79204i | −0.0807463 | + | 0.248512i | ||||
\(53\) | −9.61976 | − | 6.98917i | −1.32138 | − | 0.960036i | −0.999914 | − | 0.0131136i | \(-0.995826\pi\) |
−0.321462 | − | 0.946922i | \(-0.604174\pi\) | |||||||
\(54\) | −0.340199 | −0.0462952 | ||||||||
\(55\) | 7.38350 | + | 10.7794i | 0.995590 | + | 1.45350i | ||||
\(56\) | −0.871876 | −0.116509 | ||||||||
\(57\) | 4.12303 | + | 2.99555i | 0.546108 | + | 0.396771i | ||||
\(58\) | 0.0842969 | − | 0.259439i | 0.0110687 | − | 0.0340660i | ||||
\(59\) | −0.106583 | − | 0.328029i | −0.0138759 | − | 0.0427057i | 0.943879 | − | 0.330292i | \(-0.107147\pi\) |
−0.957755 | + | 0.287586i | \(0.907147\pi\) | |||||||
\(60\) | −6.00532 | + | 4.36312i | −0.775283 | + | 0.563276i | ||||
\(61\) | −3.47620 | + | 2.52561i | −0.445082 | + | 0.323371i | −0.787651 | − | 0.616122i | \(-0.788703\pi\) |
0.342569 | + | 0.939493i | \(0.388703\pi\) | |||||||
\(62\) | 0.523972 | + | 1.61262i | 0.0665445 | + | 0.204803i | ||||
\(63\) | −0.203890 | + | 0.627508i | −0.0256877 | + | 0.0790586i | ||||
\(64\) | 4.33208 | + | 3.14744i | 0.541510 | + | 0.393430i | ||||
\(65\) | −3.93946 | −0.488629 | ||||||||
\(66\) | 0.637615 | + | 0.930879i | 0.0784850 | + | 0.114583i | ||||
\(67\) | −2.12212 | −0.259259 | −0.129629 | − | 0.991563i | \(-0.541379\pi\) | ||||
−0.129629 | + | 0.991563i | \(0.541379\pi\) | |||||||
\(68\) | 1.53042 | + | 1.11192i | 0.185591 | + | 0.134840i | ||||
\(69\) | 0.959188 | − | 2.95208i | 0.115473 | − | 0.355388i | ||||
\(70\) | −0.273253 | − | 0.840986i | −0.0326600 | − | 0.100517i | ||||
\(71\) | −7.84151 | + | 5.69719i | −0.930616 | + | 0.676132i | −0.946144 | − | 0.323747i | \(-0.895057\pi\) |
0.0155275 | + | 0.999879i | \(0.495057\pi\) | |||||||
\(72\) | −1.06905 | + | 0.776713i | −0.125989 | + | 0.0915365i | ||||
\(73\) | 3.20186 | + | 9.85431i | 0.374749 | + | 1.15336i | 0.943648 | + | 0.330952i | \(0.107370\pi\) |
−0.568898 | + | 0.822408i | \(0.692630\pi\) | |||||||
\(74\) | −0.0704125 | + | 0.216708i | −0.00818529 | + | 0.0251917i | ||||
\(75\) | −8.51031 | − | 6.18310i | −0.982686 | − | 0.713963i | ||||
\(76\) | 9.60285 | 1.10152 | ||||||||
\(77\) | 2.09918 | − | 0.618203i | 0.239223 | − | 0.0704508i | ||||
\(78\) | −0.340199 | −0.0385199 | ||||||||
\(79\) | 5.15995 | + | 3.74892i | 0.580540 | + | 0.421787i | 0.838919 | − | 0.544257i | \(-0.183188\pi\) |
−0.258379 | + | 0.966044i | \(0.583188\pi\) | |||||||
\(80\) | −4.04039 | + | 12.4351i | −0.451730 | + | 1.39028i | ||||
\(81\) | 0.309017 | + | 0.951057i | 0.0343352 | + | 0.105673i | ||||
\(82\) | −0.486030 | + | 0.353121i | −0.0536730 | + | 0.0389957i | ||||
\(83\) | 6.22609 | − | 4.52352i | 0.683403 | − | 0.496521i | −0.191082 | − | 0.981574i | \(-0.561200\pi\) |
0.874485 | + | 0.485053i | \(0.161200\pi\) | |||||||
\(84\) | 0.384182 | + | 1.18239i | 0.0419177 | + | 0.129009i | ||||
\(85\) | −1.22216 | + | 3.76144i | −0.132562 | + | 0.407985i | ||||
\(86\) | 3.28726 | + | 2.38834i | 0.354475 | + | 0.257541i | ||||
\(87\) | −0.801856 | −0.0859680 | ||||||||
\(88\) | 4.12897 | + | 1.46948i | 0.440149 | + | 0.156647i | ||||
\(89\) | −4.75754 | −0.504299 | −0.252149 | − | 0.967688i | \(-0.581137\pi\) | ||||
−0.252149 | + | 0.967688i | \(0.581137\pi\) | |||||||
\(90\) | −1.08424 | − | 0.787749i | −0.114289 | − | 0.0830361i | ||||
\(91\) | −0.203890 | + | 0.627508i | −0.0213735 | + | 0.0657807i | ||||
\(92\) | −1.80736 | − | 5.56249i | −0.188431 | − | 0.579930i | ||||
\(93\) | 4.03228 | − | 2.92962i | 0.418128 | − | 0.303788i | ||||
\(94\) | 1.59185 | − | 1.15655i | 0.164187 | − | 0.119289i | ||||
\(95\) | 6.20408 | + | 19.0942i | 0.636525 | + | 1.95902i | ||||
\(96\) | −1.16560 | + | 3.58735i | −0.118964 | + | 0.366132i | ||||
\(97\) | 7.33533 | + | 5.32943i | 0.744790 | + | 0.541122i | 0.894208 | − | 0.447653i | \(-0.147740\pi\) |
−0.149418 | + | 0.988774i | \(0.547740\pi\) | |||||||
\(98\) | 2.23329 | 0.225596 | ||||||||
\(99\) | 2.02318 | − | 2.62807i | 0.203337 | − | 0.264131i | ||||
\(100\) | −19.8212 | −1.98212 | ||||||||
\(101\) | −15.2148 | − | 11.0542i | −1.51393 | − | 1.09994i | −0.964394 | − | 0.264469i | \(-0.914803\pi\) |
−0.549539 | − | 0.835468i | \(-0.685197\pi\) | |||||||
\(102\) | −0.105542 | + | 0.324826i | −0.0104502 | + | 0.0321625i | ||||
\(103\) | −5.91976 | − | 18.2192i | −0.583292 | − | 1.79519i | −0.606025 | − | 0.795446i | \(-0.707237\pi\) |
0.0227335 | − | 0.999742i | \(-0.492763\pi\) | |||||||
\(104\) | −1.06905 | + | 0.776713i | −0.104829 | + | 0.0761630i | ||||
\(105\) | −2.10284 | + | 1.52781i | −0.205217 | + | 0.149099i | ||||
\(106\) | −1.25003 | − | 3.84721i | −0.121414 | − | 0.373674i | ||||
\(107\) | −6.13770 | + | 18.8899i | −0.593354 | + | 1.82616i | −0.0305990 | + | 0.999532i | \(0.509741\pi\) |
−0.562755 | + | 0.826624i | \(0.690259\pi\) | |||||||
\(108\) | 1.52440 | + | 1.10754i | 0.146686 | + | 0.106573i | ||||
\(109\) | −2.61734 | −0.250696 | −0.125348 | − | 0.992113i | \(-0.540005\pi\) | ||||
−0.125348 | + | 0.992113i | \(0.540005\pi\) | |||||||
\(110\) | −0.123365 | + | 4.44322i | −0.0117624 | + | 0.423645i | ||||
\(111\) | 0.669784 | 0.0635731 | ||||||||
\(112\) | 1.77164 | + | 1.28717i | 0.167404 | + | 0.121626i | ||||
\(113\) | −2.94569 | + | 9.06589i | −0.277107 | + | 0.852847i | 0.711547 | + | 0.702638i | \(0.247995\pi\) |
−0.988654 | + | 0.150209i | \(0.952005\pi\) | |||||||
\(114\) | 0.535764 | + | 1.64891i | 0.0501789 | + | 0.154435i | ||||
\(115\) | 9.89271 | − | 7.18747i | 0.922500 | − | 0.670235i | ||||
\(116\) | −1.22235 | + | 0.888090i | −0.113492 | + | 0.0824571i | ||||
\(117\) | 0.309017 | + | 0.951057i | 0.0285686 | + | 0.0879252i | ||||
\(118\) | 0.0362594 | − | 0.111595i | 0.00333795 | − | 0.0102732i | ||||
\(119\) | 0.535898 | + | 0.389352i | 0.0491257 | + | 0.0356919i | ||||
\(120\) | −5.20569 | −0.475212 | ||||||||
\(121\) | −10.9831 | − | 0.610356i | −0.998459 | − | 0.0554869i | ||||
\(122\) | −1.46177 | −0.132343 | ||||||||
\(123\) | 1.42866 | + | 1.03798i | 0.128818 | + | 0.0935919i | ||||
\(124\) | 2.90213 | − | 8.93184i | 0.260619 | − | 0.802103i | ||||
\(125\) | −6.71899 | − | 20.6789i | −0.600965 | − | 1.84958i | ||||
\(126\) | −0.181595 | + | 0.131936i | −0.0161778 | + | 0.0117538i | ||||
\(127\) | −6.13021 | + | 4.45386i | −0.543968 | + | 0.395216i | −0.825557 | − | 0.564319i | \(-0.809139\pi\) |
0.281589 | + | 0.959535i | \(0.409139\pi\) | |||||||
\(128\) | 2.89413 | + | 8.90721i | 0.255807 | + | 0.787294i | ||||
\(129\) | 3.69085 | − | 11.3593i | 0.324961 | − | 1.00013i | ||||
\(130\) | −1.08424 | − | 0.787749i | −0.0950945 | − | 0.0690902i | ||||
\(131\) | 19.9723 | 1.74499 | 0.872496 | − | 0.488622i | \(-0.162500\pi\) | ||||
0.872496 | + | 0.488622i | \(0.162500\pi\) | |||||||
\(132\) | 0.173447 | − | 6.24699i | 0.0150966 | − | 0.543731i | ||||
\(133\) | 3.36257 | 0.291572 | ||||||||
\(134\) | −0.584065 | − | 0.424348i | −0.0504555 | − | 0.0366581i | ||||
\(135\) | −1.21736 | + | 3.74665i | −0.104774 | + | 0.322460i | ||||
\(136\) | 0.409954 | + | 1.26171i | 0.0351533 | + | 0.108191i | ||||
\(137\) | 9.58097 | − | 6.96098i | 0.818557 | − | 0.594717i | −0.0977417 | − | 0.995212i | \(-0.531162\pi\) |
0.916299 | + | 0.400495i | \(0.131162\pi\) | |||||||
\(138\) | 0.854303 | − | 0.620687i | 0.0727231 | − | 0.0528364i | ||||
\(139\) | 0.728026 | + | 2.24063i | 0.0617503 | + | 0.190048i | 0.977173 | − | 0.212447i | \(-0.0681432\pi\) |
−0.915422 | + | 0.402495i | \(0.868143\pi\) | |||||||
\(140\) | −1.51347 | + | 4.65798i | −0.127912 | + | 0.393671i | ||||
\(141\) | −4.67917 | − | 3.39962i | −0.394057 | − | 0.286299i | ||||
\(142\) | −3.29743 | −0.276714 | ||||||||
\(143\) | 2.02318 | − | 2.62807i | 0.169187 | − | 0.219770i | ||||
\(144\) | 3.31898 | 0.276582 | ||||||||
\(145\) | −2.55558 | − | 1.85674i | −0.212230 | − | 0.154194i | ||||
\(146\) | −1.08927 | + | 3.35243i | −0.0901485 | + | 0.277449i | ||||
\(147\) | −2.02859 | − | 6.24337i | −0.167315 | − | 0.514944i | ||||
\(148\) | 1.02102 | − | 0.741815i | 0.0839273 | − | 0.0609768i | ||||
\(149\) | 13.1351 | − | 9.54324i | 1.07607 | − | 0.781813i | 0.0990791 | − | 0.995080i | \(-0.468410\pi\) |
0.976994 | + | 0.213267i | \(0.0684103\pi\) | |||||||
\(150\) | −1.10587 | − | 3.40351i | −0.0902937 | − | 0.277895i | ||||
\(151\) | −2.52549 | + | 7.77264i | −0.205521 | + | 0.632529i | 0.794171 | + | 0.607695i | \(0.207906\pi\) |
−0.999692 | + | 0.0248338i | \(0.992094\pi\) | |||||||
\(152\) | 5.44826 | + | 3.95839i | 0.441912 | + | 0.321068i | ||||
\(153\) | 1.00395 | 0.0811644 | ||||||||
\(154\) | 0.701367 | + | 0.249613i | 0.0565178 | + | 0.0201144i | ||||
\(155\) | 19.6349 | 1.57711 | ||||||||
\(156\) | 1.52440 | + | 1.10754i | 0.122050 | + | 0.0886744i | ||||
\(157\) | −7.61129 | + | 23.4251i | −0.607447 | + | 1.86953i | −0.128444 | + | 0.991717i | \(0.540998\pi\) |
−0.479003 | + | 0.877813i | \(0.659002\pi\) | |||||||
\(158\) | 0.670507 | + | 2.06361i | 0.0533426 | + | 0.164172i | ||||
\(159\) | −9.61976 | + | 6.98917i | −0.762897 | + | 0.554277i | ||||
\(160\) | −12.0216 | + | 8.73418i | −0.950388 | + | 0.690497i | ||||
\(161\) | −0.632873 | − | 1.94778i | −0.0498774 | − | 0.153507i | ||||
\(162\) | −0.105127 | + | 0.323548i | −0.00825958 | + | 0.0254204i | ||||
\(163\) | 17.5727 | + | 12.7673i | 1.37640 | + | 1.00001i | 0.997206 | + | 0.0746980i | \(0.0237993\pi\) |
0.379196 | + | 0.925317i | \(0.376201\pi\) | |||||||
\(164\) | 3.32747 | 0.259832 | ||||||||
\(165\) | 12.5335 | − | 3.69109i | 0.975731 | − | 0.287351i | ||||
\(166\) | 2.61813 | 0.203206 | ||||||||
\(167\) | −13.5302 | − | 9.83028i | −1.04700 | − | 0.760690i | −0.0753602 | − | 0.997156i | \(-0.524011\pi\) |
−0.971640 | + | 0.236466i | \(0.924011\pi\) | |||||||
\(168\) | −0.269425 | + | 0.829203i | −0.0207866 | + | 0.0639744i | ||||
\(169\) | 0.309017 | + | 0.951057i | 0.0237705 | + | 0.0731582i | ||||
\(170\) | −1.08852 | + | 0.790859i | −0.0834860 | + | 0.0606561i | ||||
\(171\) | 4.12303 | − | 2.99555i | 0.315296 | − | 0.229076i | ||||
\(172\) | −6.95454 | − | 21.4039i | −0.530278 | − | 1.63203i | ||||
\(173\) | −2.95988 | + | 9.10959i | −0.225036 | + | 0.692589i | 0.773252 | + | 0.634099i | \(0.218629\pi\) |
−0.998288 | + | 0.0584904i | \(0.981371\pi\) | |||||||
\(174\) | −0.220692 | − | 0.160342i | −0.0167306 | − | 0.0121555i | ||||
\(175\) | −6.94066 | −0.524664 | ||||||||
\(176\) | −6.22058 | − | 9.08166i | −0.468894 | − | 0.684556i | ||||
\(177\) | −0.344910 | −0.0259250 | ||||||||
\(178\) | −1.30940 | − | 0.951337i | −0.0981439 | − | 0.0713057i | ||||
\(179\) | −0.259669 | + | 0.799178i | −0.0194086 | + | 0.0597334i | −0.960292 | − | 0.278998i | \(-0.909998\pi\) |
0.940883 | + | 0.338731i | \(0.109998\pi\) | |||||||
\(180\) | 2.29383 | + | 7.05967i | 0.170972 | + | 0.526197i | ||||
\(181\) | 2.63862 | − | 1.91707i | 0.196127 | − | 0.142495i | −0.485387 | − | 0.874299i | \(-0.661321\pi\) |
0.681515 | + | 0.731804i | \(0.261321\pi\) | |||||||
\(182\) | −0.181595 | + | 0.131936i | −0.0134607 | + | 0.00977978i | ||||
\(183\) | 1.32779 | + | 4.08652i | 0.0981530 | + | 0.302084i | ||||
\(184\) | 1.26749 | − | 3.90094i | 0.0934408 | − | 0.287581i | ||||
\(185\) | 2.13466 | + | 1.55092i | 0.156943 | + | 0.114026i | ||||
\(186\) | 1.69561 | 0.124328 | ||||||||
\(187\) | −1.88164 | − | 2.74708i | −0.137599 | − | 0.200886i | ||||
\(188\) | −10.8982 | −0.794830 | ||||||||
\(189\) | 0.533790 | + | 0.387821i | 0.0388275 | + | 0.0282099i | ||||
\(190\) | −2.11062 | + | 6.49582i | −0.153120 | + | 0.471256i | ||||
\(191\) | 1.18850 | + | 3.65781i | 0.0859965 | + | 0.264670i | 0.984803 | − | 0.173676i | \(-0.0555645\pi\) |
−0.898806 | + | 0.438346i | \(0.855565\pi\) | |||||||
\(192\) | 4.33208 | − | 3.14744i | 0.312641 | − | 0.227147i | ||||
\(193\) | 17.0295 | − | 12.3727i | 1.22581 | − | 0.890603i | 0.229241 | − | 0.973370i | \(-0.426376\pi\) |
0.996569 | + | 0.0827667i | \(0.0263756\pi\) | |||||||
\(194\) | 0.953185 | + | 2.93360i | 0.0684347 | + | 0.210620i | ||||
\(195\) | −1.21736 | + | 3.74665i | −0.0871769 | + | 0.268303i | ||||
\(196\) | −10.0072 | − | 7.27065i | −0.714799 | − | 0.519332i | ||||
\(197\) | −10.2644 | −0.731305 | −0.365653 | − | 0.930751i | \(-0.619154\pi\) | ||||
−0.365653 | + | 0.930751i | \(0.619154\pi\) | |||||||
\(198\) | 1.08235 | − | 0.318751i | 0.0769194 | − | 0.0226526i | ||||
\(199\) | −9.31129 | −0.660060 | −0.330030 | − | 0.943970i | \(-0.607059\pi\) | ||||
−0.330030 | + | 0.943970i | \(0.607059\pi\) | |||||||
\(200\) | −11.2457 | − | 8.17049i | −0.795192 | − | 0.577741i | ||||
\(201\) | −0.655772 | + | 2.01826i | −0.0462546 | + | 0.142357i | ||||
\(202\) | −1.97708 | − | 6.08484i | −0.139107 | − | 0.428128i | ||||
\(203\) | −0.428023 | + | 0.310977i | −0.0300413 | + | 0.0218263i | ||||
\(204\) | 1.53042 | − | 1.11192i | 0.107151 | − | 0.0778496i | ||||
\(205\) | 2.14976 | + | 6.61629i | 0.150146 | + | 0.462102i | ||||
\(206\) | 2.01390 | − | 6.19814i | 0.140315 | − | 0.431845i | ||||
\(207\) | −2.51119 | − | 1.82448i | −0.174539 | − | 0.126810i | ||||
\(208\) | 3.31898 | 0.230130 | ||||||||
\(209\) | −15.9242 | − | 5.66735i | −1.10150 | − | 0.392019i | ||||
\(210\) | −0.884265 | −0.0610201 | ||||||||
\(211\) | −10.1240 | − | 7.35554i | −0.696967 | − | 0.506376i | 0.181976 | − | 0.983303i | \(-0.441751\pi\) |
−0.878943 | + | 0.476927i | \(0.841751\pi\) | |||||||
\(212\) | −6.92359 | + | 21.3086i | −0.475514 | + | 1.46348i | ||||
\(213\) | 2.99519 | + | 9.21825i | 0.205227 | + | 0.631624i | ||||
\(214\) | −5.46656 | + | 3.97169i | −0.373686 | + | 0.271499i | ||||
\(215\) | 38.0660 | − | 27.6566i | 2.59608 | − | 1.88616i | ||||
\(216\) | 0.408342 | + | 1.25675i | 0.0277842 | + | 0.0855108i | ||||
\(217\) | 1.01622 | − | 3.12761i | 0.0689856 | − | 0.212316i | ||||
\(218\) | −0.720363 | − | 0.523374i | −0.0487891 | − | 0.0354474i | ||||
\(219\) | 10.3614 | 0.700161 | ||||||||
\(220\) | 15.0180 | − | 19.5081i | 1.01252 | − | 1.31523i | ||||
\(221\) | 1.00395 | 0.0675328 | ||||||||
\(222\) | 0.184342 | + | 0.133933i | 0.0123723 | + | 0.00898897i | ||||
\(223\) | −1.55273 | + | 4.77881i | −0.103978 | + | 0.320013i | −0.989489 | − | 0.144606i | \(-0.953809\pi\) |
0.885511 | + | 0.464619i | \(0.153809\pi\) | |||||||
\(224\) | 0.769064 | + | 2.36694i | 0.0513852 | + | 0.158148i | ||||
\(225\) | −8.51031 | + | 6.18310i | −0.567354 | + | 0.412207i | ||||
\(226\) | −2.62358 | + | 1.90614i | −0.174518 | + | 0.126795i | ||||
\(227\) | −1.40258 | − | 4.31670i | −0.0930925 | − | 0.286509i | 0.893659 | − | 0.448746i | \(-0.148129\pi\) |
−0.986752 | + | 0.162237i | \(0.948129\pi\) | |||||||
\(228\) | 2.96744 | − | 9.13286i | 0.196524 | − | 0.604838i | ||||
\(229\) | 2.54757 | + | 1.85092i | 0.168348 | + | 0.122312i | 0.668769 | − | 0.743470i | \(-0.266821\pi\) |
−0.500421 | + | 0.865782i | \(0.666821\pi\) | |||||||
\(230\) | 4.15997 | 0.274300 | ||||||||
\(231\) | 0.0607347 | − | 2.18747i | 0.00399605 | − | 0.143925i | ||||
\(232\) | −1.05959 | −0.0695655 | ||||||||
\(233\) | 1.46099 | + | 1.06147i | 0.0957130 | + | 0.0695395i | 0.634612 | − | 0.772831i | \(-0.281160\pi\) |
−0.538899 | + | 0.842370i | \(0.681160\pi\) | |||||||
\(234\) | −0.105127 | + | 0.323548i | −0.00687238 | + | 0.0211510i | ||||
\(235\) | −7.04093 | − | 21.6698i | −0.459300 | − | 1.41358i | ||||
\(236\) | −0.525781 | + | 0.382002i | −0.0342254 | + | 0.0248662i | ||||
\(237\) | 5.15995 | − | 3.74892i | 0.335175 | − | 0.243519i | ||||
\(238\) | 0.0696369 | + | 0.214320i | 0.00451389 | + | 0.0138923i | ||||
\(239\) | 4.35768 | − | 13.4116i | 0.281875 | − | 0.867522i | −0.705443 | − | 0.708767i | \(-0.749252\pi\) |
0.987318 | − | 0.158756i | \(-0.0507482\pi\) | |||||||
\(240\) | 10.5779 | + | 7.68529i | 0.682800 | + | 0.496083i | ||||
\(241\) | −8.19384 | −0.527811 | −0.263906 | − | 0.964548i | \(-0.585011\pi\) | ||||
−0.263906 | + | 0.964548i | \(0.585011\pi\) | |||||||
\(242\) | −2.90078 | − | 2.36420i | −0.186469 | − | 0.151977i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 6.55008 | + | 4.75891i | 0.419326 | + | 0.304658i | ||||
\(245\) | 7.99155 | − | 24.5955i | 0.510561 | − | 1.57135i | ||||
\(246\) | 0.185647 | + | 0.571362i | 0.0118364 | + | 0.0364287i | ||||
\(247\) | 4.12303 | − | 2.99555i | 0.262342 | − | 0.190602i | ||||
\(248\) | 5.32834 | − | 3.87127i | 0.338350 | − | 0.245826i | ||||
\(249\) | −2.37816 | − | 7.31921i | −0.150710 | − | 0.463836i | ||||
\(250\) | 2.28579 | − | 7.03495i | 0.144566 | − | 0.444929i | ||||
\(251\) | −3.99311 | − | 2.90116i | −0.252043 | − | 0.183120i | 0.454589 | − | 0.890701i | \(-0.349786\pi\) |
−0.706632 | + | 0.707582i | \(0.749786\pi\) | |||||||
\(252\) | 1.24324 | 0.0783168 | ||||||||
\(253\) | −0.285723 | + | 10.2908i | −0.0179633 | + | 0.646979i | ||||
\(254\) | −2.57781 | −0.161746 | ||||||||
\(255\) | 3.19967 | + | 2.32470i | 0.200371 | + | 0.145578i | ||||
\(256\) | 2.32484 | − | 7.15511i | 0.145302 | − | 0.447195i | ||||
\(257\) | −3.08169 | − | 9.48446i | −0.192230 | − | 0.591624i | −0.999998 | − | 0.00212277i | \(-0.999324\pi\) |
0.807767 | − | 0.589501i | \(-0.200676\pi\) | |||||||
\(258\) | 3.28726 | − | 2.38834i | 0.204656 | − | 0.148691i | ||||
\(259\) | 0.357524 | − | 0.259757i | 0.0222155 | − | 0.0161405i | ||||
\(260\) | 2.29383 | + | 7.05967i | 0.142257 | + | 0.437822i | ||||
\(261\) | −0.247787 | + | 0.762610i | −0.0153376 | + | 0.0472044i | ||||
\(262\) | 5.49692 | + | 3.99375i | 0.339601 | + | 0.246735i | ||||
\(263\) | −20.3964 | −1.25769 | −0.628847 | − | 0.777529i | \(-0.716473\pi\) | ||||
−0.628847 | + | 0.777529i | \(0.716473\pi\) | |||||||
\(264\) | 2.67348 | − | 3.47279i | 0.164541 | − | 0.213735i | ||||
\(265\) | −46.8428 | −2.87753 | ||||||||
\(266\) | 0.925469 | + | 0.672393i | 0.0567442 | + | 0.0412270i | ||||
\(267\) | −1.47016 | + | 4.52469i | −0.0899725 | + | 0.276907i | ||||
\(268\) | 1.23565 | + | 3.80293i | 0.0754792 | + | 0.232301i | ||||
\(269\) | 11.7201 | − | 8.51518i | 0.714590 | − | 0.519180i | −0.170061 | − | 0.985433i | \(-0.554397\pi\) |
0.884651 | + | 0.466254i | \(0.154397\pi\) | |||||||
\(270\) | −1.08424 | + | 0.787749i | −0.0659850 | + | 0.0479409i | ||||
\(271\) | −6.73152 | − | 20.7175i | −0.408911 | − | 1.25850i | −0.917585 | − | 0.397539i | \(-0.869864\pi\) |
0.508675 | − | 0.860959i | \(-0.330136\pi\) | |||||||
\(272\) | 1.02967 | − | 3.16900i | 0.0624330 | − | 0.192149i | ||||
\(273\) | 0.533790 | + | 0.387821i | 0.0323065 | + | 0.0234720i | ||||
\(274\) | 4.02888 | 0.243394 | ||||||||
\(275\) | 32.8691 | + | 11.6979i | 1.98208 | + | 0.705412i | ||||
\(276\) | −5.84875 | −0.352053 | ||||||||
\(277\) | −10.5400 | − | 7.65777i | −0.633288 | − | 0.460111i | 0.224250 | − | 0.974532i | \(-0.428007\pi\) |
−0.857538 | + | 0.514421i | \(0.828007\pi\) | |||||||
\(278\) | −0.247674 | + | 0.762261i | −0.0148545 | + | 0.0457174i | ||||
\(279\) | −1.54019 | − | 4.74023i | −0.0922089 | − | 0.283790i | ||||
\(280\) | −2.77875 | + | 2.01888i | −0.166062 | + | 0.120651i | ||||
\(281\) | −24.2018 | + | 17.5836i | −1.44376 | + | 1.04895i | −0.456519 | + | 0.889714i | \(0.650904\pi\) |
−0.987240 | + | 0.159239i | \(0.949096\pi\) | |||||||
\(282\) | −0.608032 | − | 1.87133i | −0.0362078 | − | 0.111436i | ||||
\(283\) | −5.92466 | + | 18.2342i | −0.352184 | + | 1.08391i | 0.605440 | + | 0.795891i | \(0.292997\pi\) |
−0.957624 | + | 0.288021i | \(0.907003\pi\) | |||||||
\(284\) | 14.7755 | + | 10.7350i | 0.876764 | + | 0.637006i | ||||
\(285\) | 20.0768 | 1.18925 | ||||||||
\(286\) | 1.08235 | − | 0.318751i | 0.0640008 | − | 0.0188481i | ||||
\(287\) | 1.16516 | 0.0687772 | ||||||||
\(288\) | 3.05158 | + | 2.21710i | 0.179816 | + | 0.130644i | ||||
\(289\) | −4.94183 | + | 15.2094i | −0.290696 | + | 0.894669i | ||||
\(290\) | −0.332084 | − | 1.02205i | −0.0195006 | − | 0.0600168i | ||||
\(291\) | 7.33533 | − | 5.32943i | 0.430005 | − | 0.312417i | ||||
\(292\) | 15.7950 | − | 11.4757i | 0.924332 | − | 0.671566i | ||||
\(293\) | −3.67687 | − | 11.3162i | −0.214805 | − | 0.661101i | −0.999167 | − | 0.0407987i | \(-0.987010\pi\) |
0.784362 | − | 0.620303i | \(-0.212990\pi\) | |||||||
\(294\) | 0.690125 | − | 2.12399i | 0.0402489 | − | 0.123873i | ||||
\(295\) | −1.09926 | − | 0.798657i | −0.0640013 | − | 0.0464996i | ||||
\(296\) | 0.885068 | 0.0514435 | ||||||||
\(297\) | −1.87424 | − | 2.73628i | −0.108755 | − | 0.158775i | ||||
\(298\) | 5.52345 | 0.319965 | ||||||||
\(299\) | −2.51119 | − | 1.82448i | −0.145226 | − | 0.105513i | ||||
\(300\) | −6.12508 | + | 18.8511i | −0.353632 | + | 1.08837i | ||||
\(301\) | −2.43523 | − | 7.49485i | −0.140364 | − | 0.431996i | ||||
\(302\) | −2.24933 | + | 1.63423i | −0.129434 | + | 0.0940396i | ||||
\(303\) | −15.2148 | + | 11.0542i | −0.874070 | + | 0.635049i | ||||
\(304\) | −5.22692 | − | 16.0868i | −0.299784 | − | 0.922641i | ||||
\(305\) | −5.23077 | + | 16.0987i | −0.299513 | + | 0.921806i | ||||
\(306\) | 0.276313 | + | 0.200753i | 0.0157958 | + | 0.0114763i | ||||
\(307\) | 24.3043 | 1.38712 | 0.693560 | − | 0.720398i | \(-0.256041\pi\) | ||||
0.693560 | + | 0.720398i | \(0.256041\pi\) | |||||||
\(308\) | −2.33013 | − | 3.40185i | −0.132772 | − | 0.193838i | ||||
\(309\) | −19.1568 | −1.08979 | ||||||||
\(310\) | 5.40405 | + | 3.92628i | 0.306930 | + | 0.222997i | ||||
\(311\) | −4.53712 | + | 13.9638i | −0.257276 | + | 0.791815i | 0.736096 | + | 0.676877i | \(0.236667\pi\) |
−0.993373 | + | 0.114938i | \(0.963333\pi\) | |||||||
\(312\) | 0.408342 | + | 1.25675i | 0.0231178 | + | 0.0711493i | ||||
\(313\) | −5.90356 | + | 4.28919i | −0.333689 | + | 0.242439i | −0.741994 | − | 0.670406i | \(-0.766120\pi\) |
0.408305 | + | 0.912845i | \(0.366120\pi\) | |||||||
\(314\) | −6.77901 | + | 4.92524i | −0.382562 | + | 0.277947i | ||||
\(315\) | 0.803215 | + | 2.47204i | 0.0452560 | + | 0.139284i | ||||
\(316\) | 3.71375 | − | 11.4297i | 0.208914 | − | 0.642973i | ||||
\(317\) | 4.48152 | + | 3.25601i | 0.251707 | + | 0.182876i | 0.706483 | − | 0.707730i | \(-0.250281\pi\) |
−0.454776 | + | 0.890606i | \(0.650281\pi\) | |||||||
\(318\) | −4.04520 | −0.226843 | ||||||||
\(319\) | 2.55113 | − | 0.751302i | 0.142836 | − | 0.0420648i | ||||
\(320\) | 21.0948 | 1.17924 | ||||||||
\(321\) | 16.0687 | + | 11.6746i | 0.896868 | + | 0.651613i | ||||
\(322\) | 0.215303 | − | 0.662634i | 0.0119984 | − | 0.0369271i | ||||
\(323\) | −1.58107 | − | 4.86604i | −0.0879732 | − | 0.270754i | ||||
\(324\) | 1.52440 | − | 1.10754i | 0.0846890 | − | 0.0615302i | ||||
\(325\) | −8.51031 | + | 6.18310i | −0.472067 | + | 0.342977i | ||||
\(326\) | 2.28348 | + | 7.02782i | 0.126470 | + | 0.389235i | ||||
\(327\) | −0.808804 | + | 2.48924i | −0.0447270 | + | 0.137655i | ||||
\(328\) | 1.88787 | + | 1.37162i | 0.104240 | + | 0.0757348i | ||||
\(329\) | −3.81614 | −0.210391 | ||||||||
\(330\) | 4.18764 | + | 1.49036i | 0.230522 | + | 0.0820416i | ||||
\(331\) | −26.0563 | −1.43218 | −0.716091 | − | 0.698007i | \(-0.754071\pi\) | ||||
−0.716091 | + | 0.698007i | \(0.754071\pi\) | |||||||
\(332\) | −11.7316 | − | 8.52351i | −0.643856 | − | 0.467789i | ||||
\(333\) | 0.206975 | − | 0.637002i | 0.0113421 | − | 0.0349075i | ||||
\(334\) | −1.75818 | − | 5.41111i | −0.0962031 | − | 0.296083i | ||||
\(335\) | −6.76339 | + | 4.91389i | −0.369524 | + | 0.268475i | ||||
\(336\) | 1.77164 | − | 1.28717i | 0.0966509 | − | 0.0702210i | ||||
\(337\) | −4.31503 | − | 13.2803i | −0.235055 | − | 0.723424i | −0.997114 | − | 0.0759172i | \(-0.975812\pi\) |
0.762059 | − | 0.647507i | \(-0.224188\pi\) | |||||||
\(338\) | −0.105127 | + | 0.323548i | −0.00571817 | + | 0.0175987i | ||||
\(339\) | 7.71191 | + | 5.60303i | 0.418853 | + | 0.304315i | ||||
\(340\) | 7.45228 | 0.404157 | ||||||||
\(341\) | −10.0839 | + | 13.0987i | −0.546073 | + | 0.709336i | ||||
\(342\) | 1.73377 | 0.0937515 | ||||||||
\(343\) | −7.24069 | − | 5.26067i | −0.390960 | − | 0.284049i | ||||
\(344\) | 4.87717 | − | 15.0104i | 0.262959 | − | 0.809306i | ||||
\(345\) | −3.77868 | − | 11.6296i | −0.203437 | − | 0.626115i | ||||
\(346\) | −2.63623 | + | 1.91533i | −0.141724 | + | 0.102969i | ||||
\(347\) | −20.2001 | + | 14.6763i | −1.08440 | + | 0.787863i | −0.978445 | − | 0.206508i | \(-0.933790\pi\) |
−0.105955 | + | 0.994371i | \(0.533790\pi\) | |||||||
\(348\) | 0.466896 | + | 1.43696i | 0.0250283 | + | 0.0770291i | ||||
\(349\) | −9.31548 | + | 28.6701i | −0.498646 | + | 1.53468i | 0.312550 | + | 0.949901i | \(0.398817\pi\) |
−0.811196 | + | 0.584774i | \(0.801183\pi\) | |||||||
\(350\) | −1.91025 | − | 1.38788i | −0.102107 | − | 0.0741854i | ||||
\(351\) | 1.00000 | 0.0533761 | ||||||||
\(352\) | 0.347209 | − | 12.5054i | 0.0185063 | − | 0.666538i | ||||
\(353\) | 26.6798 | 1.42002 | 0.710011 | − | 0.704191i | \(-0.248690\pi\) | ||||
0.710011 | + | 0.704191i | \(0.248690\pi\) | |||||||
\(354\) | −0.0949284 | − | 0.0689695i | −0.00504539 | − | 0.00366569i | ||||
\(355\) | −11.7994 | + | 36.3149i | −0.626248 | + | 1.92739i | ||||
\(356\) | 2.77017 | + | 8.52572i | 0.146819 | + | 0.451862i | ||||
\(357\) | 0.535898 | − | 0.389352i | 0.0283627 | − | 0.0206067i | ||||
\(358\) | −0.231275 | + | 0.168031i | −0.0122232 | + | 0.00888071i | ||||
\(359\) | 4.51067 | + | 13.8824i | 0.238064 | + | 0.732686i | 0.996700 | + | 0.0811716i | \(0.0258662\pi\) |
−0.758636 | + | 0.651515i | \(0.774134\pi\) | |||||||
\(360\) | −1.60865 | + | 4.95090i | −0.0847831 | + | 0.260935i | ||||
\(361\) | −5.64102 | − | 4.09844i | −0.296896 | − | 0.215707i | ||||
\(362\) | 1.10957 | 0.0583175 | ||||||||
\(363\) | −3.97443 | + | 10.2569i | −0.208604 | + | 0.538347i | ||||
\(364\) | 1.24324 | 0.0651635 | ||||||||
\(365\) | 33.0228 | + | 23.9925i | 1.72849 | + | 1.25582i | ||||
\(366\) | −0.451713 | + | 1.39023i | −0.0236114 | + | 0.0726684i | ||||
\(367\) | 6.78242 | + | 20.8741i | 0.354039 | + | 1.08962i | 0.956564 | + | 0.291521i | \(0.0941614\pi\) |
−0.602525 | + | 0.798100i | \(0.705839\pi\) | |||||||
\(368\) | −8.33458 | + | 6.05543i | −0.434470 | + | 0.315661i | ||||
\(369\) | 1.42866 | − | 1.03798i | 0.0743732 | − | 0.0540353i | ||||
\(370\) | 0.277387 | + | 0.853710i | 0.0144207 | + | 0.0443823i | ||||
\(371\) | −2.42439 | + | 7.46150i | −0.125868 | + | 0.387382i | ||||
\(372\) | −7.59788 | − | 5.52018i | −0.393932 | − | 0.286208i | ||||
\(373\) | 8.28362 | 0.428909 | 0.214455 | − | 0.976734i | \(-0.431203\pi\) | ||||
0.214455 | + | 0.976734i | \(0.431203\pi\) | |||||||
\(374\) | 0.0314390 | − | 1.13233i | 0.00162567 | − | 0.0585514i | ||||
\(375\) | −21.7431 | −1.12281 | ||||||||
\(376\) | −6.18316 | − | 4.49233i | −0.318872 | − | 0.231674i | ||||
\(377\) | −0.247787 | + | 0.762610i | −0.0127617 | + | 0.0392764i | ||||
\(378\) | 0.0693631 | + | 0.213478i | 0.00356765 | + | 0.0109801i | ||||
\(379\) | −15.9486 | + | 11.5873i | −0.819222 | + | 0.595200i | −0.916490 | − | 0.400058i | \(-0.868990\pi\) |
0.0972673 | + | 0.995258i | \(0.468990\pi\) | |||||||
\(380\) | 30.6051 | − | 22.2359i | 1.57001 | − | 1.14068i | ||||
\(381\) | 2.34153 | + | 7.20649i | 0.119960 | + | 0.369200i | ||||
\(382\) | −0.404325 | + | 1.24438i | −0.0206871 | + | 0.0636682i | ||||
\(383\) | 7.88111 | + | 5.72596i | 0.402706 | + | 0.292583i | 0.770642 | − | 0.637268i | \(-0.219936\pi\) |
−0.367936 | + | 0.929851i | \(0.619936\pi\) | |||||||
\(384\) | 9.36560 | 0.477936 | ||||||||
\(385\) | 5.25877 | − | 6.83102i | 0.268012 | − | 0.348141i | ||||
\(386\) | 7.16106 | 0.364488 | ||||||||
\(387\) | −9.66277 | − | 7.02041i | −0.491186 | − | 0.356868i | ||||
\(388\) | 5.27942 | − | 16.2484i | 0.268022 | − | 0.824887i | ||||
\(389\) | −5.07773 | − | 15.6276i | −0.257451 | − | 0.792353i | −0.993337 | − | 0.115247i | \(-0.963234\pi\) |
0.735886 | − | 0.677106i | \(-0.236766\pi\) | |||||||
\(390\) | −1.08424 | + | 0.787749i | −0.0549028 | + | 0.0398892i | ||||
\(391\) | −2.52110 | + | 1.83169i | −0.127497 | + | 0.0926323i | ||||
\(392\) | −2.68063 | − | 8.25012i | −0.135392 | − | 0.416694i | ||||
\(393\) | 6.17179 | − | 18.9948i | 0.311326 | − | 0.958162i | ||||
\(394\) | −2.82503 | − | 2.05250i | −0.142323 | − | 0.103404i | ||||
\(395\) | 25.1260 | 1.26423 | ||||||||
\(396\) | −5.88764 | − | 2.09538i | −0.295865 | − | 0.105297i | ||||
\(397\) | 18.1880 | 0.912832 | 0.456416 | − | 0.889767i | \(-0.349133\pi\) | ||||
0.456416 | + | 0.889767i | \(0.349133\pi\) | |||||||
\(398\) | −2.56272 | − | 1.86192i | −0.128457 | − | 0.0933298i | ||||
\(399\) | 1.03909 | − | 3.19799i | 0.0520196 | − | 0.160100i | ||||
\(400\) | 10.7888 | + | 33.2047i | 0.539442 | + | 1.66023i | ||||
\(401\) | −0.433267 | + | 0.314787i | −0.0216363 | + | 0.0157197i | −0.598551 | − | 0.801085i | \(-0.704257\pi\) |
0.576915 | + | 0.816805i | \(0.304257\pi\) | |||||||
\(402\) | −0.584065 | + | 0.424348i | −0.0291305 | + | 0.0211646i | ||||
\(403\) | −1.54019 | − | 4.74023i | −0.0767225 | − | 0.236128i | ||||
\(404\) | −10.9505 | + | 33.7022i | −0.544808 | + | 1.67675i | ||||
\(405\) | 3.18709 | + | 2.31555i | 0.158368 | + | 0.115061i | ||||
\(406\) | −0.179987 | −0.00893263 | ||||||||
\(407\) | −2.13094 | + | 0.627557i | −0.105627 | + | 0.0311068i | ||||
\(408\) | 1.32664 | 0.0656784 | ||||||||
\(409\) | −14.8912 | − | 10.8191i | −0.736325 | − | 0.534971i | 0.155233 | − | 0.987878i | \(-0.450387\pi\) |
−0.891558 | + | 0.452907i | \(0.850387\pi\) | |||||||
\(410\) | −0.731348 | + | 2.25086i | −0.0361187 | + | 0.111162i | ||||
\(411\) | −3.65960 | − | 11.2631i | −0.180515 | − | 0.555568i | ||||
\(412\) | −29.2026 | + | 21.2169i | −1.43871 | + | 1.04528i | ||||
\(413\) | −0.184110 | + | 0.133763i | −0.00905944 | + | 0.00658207i | ||||
\(414\) | −0.326315 | − | 1.00429i | −0.0160375 | − | 0.0493583i | ||||
\(415\) | 9.36864 | − | 28.8337i | 0.459889 | − | 1.41539i | ||||
\(416\) | 3.05158 | + | 2.21710i | 0.149616 | + | 0.108702i | ||||
\(417\) | 2.35594 | 0.115371 | ||||||||
\(418\) | −3.24950 | − | 4.74407i | −0.158938 | − | 0.232040i | ||||
\(419\) | −29.9674 | −1.46400 | −0.732001 | − | 0.681304i | \(-0.761413\pi\) | ||||
−0.732001 | + | 0.681304i | \(0.761413\pi\) | |||||||
\(420\) | 3.96231 | + | 2.87879i | 0.193341 | + | 0.140471i | ||||
\(421\) | 10.3326 | − | 31.8004i | 0.503579 | − | 1.54986i | −0.299567 | − | 0.954075i | \(-0.596842\pi\) |
0.803146 | − | 0.595782i | \(-0.203158\pi\) | |||||||
\(422\) | −1.31556 | − | 4.04888i | −0.0640405 | − | 0.197096i | ||||
\(423\) | −4.67917 | + | 3.39962i | −0.227509 | + | 0.165295i | ||||
\(424\) | −12.7118 | + | 9.23564i | −0.617338 | + | 0.448523i | ||||
\(425\) | 3.26348 | + | 10.0440i | 0.158302 | + | 0.487204i | ||||
\(426\) | −1.01896 | + | 3.13604i | −0.0493688 | + | 0.151942i | ||||
\(427\) | 2.29360 | + | 1.66640i | 0.110995 | + | 0.0806426i | ||||
\(428\) | 37.4253 | 1.80902 | ||||||||
\(429\) | −1.87424 | − | 2.73628i | −0.0904893 | − | 0.132109i | ||||
\(430\) | 16.0071 | 0.771932 | ||||||||
\(431\) | −20.7326 | − | 15.0631i | −0.998652 | − | 0.725563i | −0.0368535 | − | 0.999321i | \(-0.511733\pi\) |
−0.961799 | + | 0.273757i | \(0.911733\pi\) | |||||||
\(432\) | 1.02562 | − | 3.15654i | 0.0493453 | − | 0.151869i | ||||
\(433\) | −2.13509 | − | 6.57112i | −0.102606 | − | 0.315788i | 0.886555 | − | 0.462623i | \(-0.153091\pi\) |
−0.989161 | + | 0.146835i | \(0.953091\pi\) | |||||||
\(434\) | 0.905100 | − | 0.657593i | 0.0434462 | − | 0.0315655i | ||||
\(435\) | −2.55558 | + | 1.85674i | −0.122531 | + | 0.0890239i | ||||
\(436\) | 1.52400 | + | 4.69039i | 0.0729864 | + | 0.224629i | ||||
\(437\) | −4.88835 | + | 15.0448i | −0.233841 | + | 0.719690i | ||||
\(438\) | 2.85174 | + | 2.07191i | 0.136262 | + | 0.0989998i | ||||
\(439\) | 26.9412 | 1.28583 | 0.642916 | − | 0.765936i | \(-0.277724\pi\) | ||||
0.642916 | + | 0.765936i | \(0.277724\pi\) | |||||||
\(440\) | 16.5620 | − | 4.87749i | 0.789564 | − | 0.232525i | ||||
\(441\) | −6.56466 | −0.312603 | ||||||||
\(442\) | 0.276313 | + | 0.200753i | 0.0131429 | + | 0.00954886i | ||||
\(443\) | 3.95952 | − | 12.1862i | 0.188123 | − | 0.578982i | −0.811866 | − | 0.583844i | \(-0.801548\pi\) |
0.999988 | + | 0.00486252i | \(0.00154779\pi\) | |||||||
\(444\) | −0.389995 | − | 1.20028i | −0.0185083 | − | 0.0569628i | ||||
\(445\) | −15.1627 | + | 11.0164i | −0.718781 | + | 0.522225i | ||||
\(446\) | −1.38294 | + | 1.00477i | −0.0654842 | + | 0.0475770i | ||||
\(447\) | −5.01718 | − | 15.4413i | −0.237304 | − | 0.730348i | ||||
\(448\) | 1.09178 | − | 3.36015i | 0.0515817 | − | 0.158752i | ||||
\(449\) | −15.5283 | − | 11.2819i | −0.732824 | − | 0.532428i | 0.157631 | − | 0.987498i | \(-0.449614\pi\) |
−0.890456 | + | 0.455070i | \(0.849614\pi\) | |||||||
\(450\) | −3.57866 | −0.168700 | ||||||||
\(451\) | −5.51787 | − | 1.96378i | −0.259827 | − | 0.0924710i | ||||
\(452\) | 17.9616 | 0.844845 | ||||||||
\(453\) | 6.61181 | + | 4.80376i | 0.310650 | + | 0.225700i | ||||
\(454\) | 0.477156 | − | 1.46854i | 0.0223940 | − | 0.0689218i | ||||
\(455\) | 0.803215 | + | 2.47204i | 0.0376553 | + | 0.115891i | ||||
\(456\) | 5.44826 | − | 3.95839i | 0.255138 | − | 0.185369i | ||||
\(457\) | 1.34891 | − | 0.980037i | 0.0630991 | − | 0.0458442i | −0.555789 | − | 0.831324i | \(-0.687584\pi\) |
0.618888 | + | 0.785479i | \(0.287584\pi\) | |||||||
\(458\) | 0.331043 | + | 1.01885i | 0.0154686 | + | 0.0476075i | ||||
\(459\) | 0.310237 | − | 0.954811i | 0.0144806 | − | 0.0445668i | ||||
\(460\) | −18.6405 | − | 13.5431i | −0.869117 | − | 0.631450i | ||||
\(461\) | −18.7395 | −0.872787 | −0.436394 | − | 0.899756i | \(-0.643745\pi\) | ||||
−0.436394 | + | 0.899756i | \(0.643745\pi\) | |||||||
\(462\) | 0.454131 | − | 0.589905i | 0.0211281 | − | 0.0274449i | ||||
\(463\) | 11.4490 | 0.532080 | 0.266040 | − | 0.963962i | \(-0.414285\pi\) | ||||
0.266040 | + | 0.963962i | \(0.414285\pi\) | |||||||
\(464\) | 2.15307 | + | 1.56430i | 0.0999539 | + | 0.0726208i | ||||
\(465\) | 6.06752 | − | 18.6739i | 0.281375 | − | 0.865982i | ||||
\(466\) | 0.189848 | + | 0.584293i | 0.00879455 | + | 0.0270668i | ||||
\(467\) | −11.1486 | + | 8.09994i | −0.515896 | + | 0.374820i | −0.815056 | − | 0.579383i | \(-0.803294\pi\) |
0.299160 | + | 0.954203i | \(0.403294\pi\) | |||||||
\(468\) | 1.52440 | − | 1.10754i | 0.0704655 | − | 0.0511962i | ||||
\(469\) | 0.432679 | + | 1.33165i | 0.0199793 | + | 0.0614899i | ||||
\(470\) | 2.39532 | − | 7.37203i | 0.110488 | − | 0.340046i | ||||
\(471\) | 19.9266 | + | 14.4775i | 0.918170 | + | 0.667090i | ||||
\(472\) | −0.455772 | −0.0209786 | ||||||||
\(473\) | −1.09943 | + | 39.5980i | −0.0505519 | + | 1.82072i | ||||
\(474\) | 2.16981 | 0.0996625 | ||||||||
\(475\) | 43.3714 | + | 31.5112i | 1.99002 | + | 1.44583i | ||||
\(476\) | 0.385699 | − | 1.18706i | 0.0176785 | − | 0.0544088i | ||||
\(477\) | 3.67442 | + | 11.3087i | 0.168240 | + | 0.517790i | ||||
\(478\) | 3.88118 | − | 2.81984i | 0.177521 | − | 0.128977i | ||||
\(479\) | −12.3069 | + | 8.94147i | −0.562315 | + | 0.408546i | −0.832306 | − | 0.554317i | \(-0.812980\pi\) |
0.269990 | + | 0.962863i | \(0.412980\pi\) | |||||||
\(480\) | 4.59183 | + | 14.1322i | 0.209587 | + | 0.645044i | ||||
\(481\) | 0.206975 | − | 0.637002i | 0.00943723 | − | 0.0290448i | ||||
\(482\) | −2.25516 | − | 1.63847i | −0.102720 | − | 0.0746303i | ||||
\(483\) | −2.04802 | −0.0931881 | ||||||||
\(484\) | 5.30132 | + | 20.0375i | 0.240969 | + | 0.910795i | ||||
\(485\) | 35.7189 | 1.62191 | ||||||||
\(486\) | 0.275227 | + | 0.199964i | 0.0124845 | + | 0.00907055i | ||||
\(487\) | −6.43804 | + | 19.8143i | −0.291736 | + | 0.897870i | 0.692563 | + | 0.721358i | \(0.256482\pi\) |
−0.984298 | + | 0.176512i | \(0.943518\pi\) | |||||||
\(488\) | 1.75457 | + | 5.40002i | 0.0794257 | + | 0.244447i | ||||
\(489\) | 17.5727 | − | 12.7673i | 0.794666 | − | 0.577359i | ||||
\(490\) | 7.11769 | − | 5.17131i | 0.321545 | − | 0.233616i | ||||
\(491\) | 9.26355 | + | 28.5103i | 0.418058 | + | 1.28665i | 0.909487 | + | 0.415732i | \(0.136475\pi\) |
−0.491429 | + | 0.870918i | \(0.663525\pi\) | |||||||
\(492\) | 1.02824 | − | 3.16461i | 0.0463568 | − | 0.142672i | ||||
\(493\) | 0.651276 | + | 0.473180i | 0.0293320 | + | 0.0213109i | ||||
\(494\) | 1.73377 | 0.0780060 | ||||||||
\(495\) | 0.362627 | − | 13.0607i | 0.0162989 | − | 0.587033i | ||||
\(496\) | −16.5424 | −0.742774 | ||||||||
\(497\) | 5.17384 | + | 3.75901i | 0.232078 | + | 0.168615i | ||||
\(498\) | 0.809046 | − | 2.48999i | 0.0362542 | − | 0.111579i | ||||
\(499\) | 7.49341 | + | 23.0624i | 0.335451 | + | 1.03241i | 0.966499 | + | 0.256669i | \(0.0826251\pi\) |
−0.631048 | + | 0.775744i | \(0.717375\pi\) | |||||||
\(500\) | −33.1453 | + | 24.0814i | −1.48230 | + | 1.07695i | ||||
\(501\) | −13.5302 | + | 9.83028i | −0.604486 | + | 0.439185i | ||||
\(502\) | −0.518882 | − | 1.59696i | −0.0231588 | − | 0.0712756i | ||||
\(503\) | −9.17099 | + | 28.2254i | −0.408914 | + | 1.25851i | 0.508668 | + | 0.860963i | \(0.330138\pi\) |
−0.917582 | + | 0.397546i | \(0.869862\pi\) | |||||||
\(504\) | 0.705363 | + | 0.512476i | 0.0314193 | + | 0.0228275i | ||||
\(505\) | −74.0877 | −3.29686 | ||||||||
\(506\) | −2.13643 | + | 2.77518i | −0.0949760 | + | 0.123372i | ||||
\(507\) | 1.00000 | 0.0444116 | ||||||||
\(508\) | 11.5509 | + | 8.39224i | 0.512490 | + | 0.372346i | ||||
\(509\) | 9.22302 | − | 28.3855i | 0.408803 | − | 1.25817i | −0.508875 | − | 0.860841i | \(-0.669938\pi\) |
0.917678 | − | 0.397326i | \(-0.130062\pi\) | |||||||
\(510\) | 0.415779 | + | 1.27964i | 0.0184110 | + | 0.0566633i | ||||
\(511\) | 5.53083 | − | 4.01839i | 0.244670 | − | 0.177763i | ||||
\(512\) | 17.2245 | − | 12.5143i | 0.761222 | − | 0.553060i | ||||
\(513\) | −1.57486 | − | 4.84691i | −0.0695316 | − | 0.213996i | ||||
\(514\) | 1.04839 | − | 3.22660i | 0.0462423 | − | 0.142319i | ||||
\(515\) | −61.0543 | − | 44.3585i | −2.69037 | − | 1.95467i | ||||
\(516\) | −22.5053 | −0.990743 | ||||||||
\(517\) | 18.0722 | + | 6.43181i | 0.794814 | + | 0.282871i | ||||
\(518\) | 0.150342 | 0.00660565 | ||||||||
\(519\) | 7.74908 | + | 5.63003i | 0.340147 | + | 0.247131i | ||||
\(520\) | −1.60865 | + | 4.95090i | −0.0705438 | + | 0.217111i | ||||
\(521\) | −6.36929 | − | 19.6027i | −0.279044 | − | 0.858808i | −0.988121 | − | 0.153678i | \(-0.950888\pi\) |
0.709077 | − | 0.705131i | \(-0.249112\pi\) | |||||||
\(522\) | −0.220692 | + | 0.160342i | −0.00965943 | + | 0.00701799i | ||||
\(523\) | 30.1568 | − | 21.9102i | 1.31867 | − | 0.958067i | 0.318718 | − | 0.947850i | \(-0.396748\pi\) |
0.999948 | − | 0.0102173i | \(-0.00325232\pi\) | |||||||
\(524\) | −11.6293 | − | 35.7913i | −0.508028 | − | 1.56355i | ||||
\(525\) | −2.14478 | + | 6.60096i | −0.0936059 | + | 0.288089i | ||||
\(526\) | −5.61362 | − | 4.07853i | −0.244766 | − | 0.177833i | ||||
\(527\) | −5.00385 | −0.217971 | ||||||||
\(528\) | −10.5594 | + | 3.10973i | −0.459540 | + | 0.135334i | ||||
\(529\) | −13.3652 | −0.581096 | ||||||||
\(530\) | −12.8924 | − | 9.36688i | −0.560010 | − | 0.406871i | ||||
\(531\) | −0.106583 | + | 0.328029i | −0.00462531 | + | 0.0142352i | ||||
\(532\) | −1.95792 | − | 6.02587i | −0.0848867 | − | 0.261255i | ||||
\(533\) | 1.42866 | − | 1.03798i | 0.0618823 | − | 0.0449601i | ||||
\(534\) | −1.30940 | + | 0.951337i | −0.0566634 | + | 0.0411684i | ||||
\(535\) | 24.1792 | + | 74.4159i | 1.04536 | + | 3.21728i | ||||
\(536\) | −0.866552 | + | 2.66697i | −0.0374293 | + | 0.115196i | ||||
\(537\) | 0.679822 | + | 0.493919i | 0.0293365 | + | 0.0213142i | ||||
\(538\) | 4.92843 | 0.212479 | ||||||||
\(539\) | 12.3038 | + | 17.9627i | 0.529961 | + | 0.773710i | ||||
\(540\) | 7.42298 | 0.319434 | ||||||||
\(541\) | 11.0229 | + | 8.00863i | 0.473913 | + | 0.344318i | 0.798964 | − | 0.601378i | \(-0.205382\pi\) |
−0.325051 | + | 0.945696i | \(0.605382\pi\) | |||||||
\(542\) | 2.29006 | − | 7.04807i | 0.0983663 | − | 0.302740i | ||||
\(543\) | −1.00787 | − | 3.10189i | −0.0432516 | − | 0.133115i | ||||
\(544\) | 3.06363 | − | 2.22585i | 0.131352 | − | 0.0954327i | ||||
\(545\) | −8.34171 | + | 6.06060i | −0.357319 | + | 0.259608i | ||||
\(546\) | 0.0693631 | + | 0.213478i | 0.00296847 | + | 0.00913600i | ||||
\(547\) | 5.04386 | − | 15.5234i | 0.215660 | − | 0.663732i | −0.783446 | − | 0.621459i | \(-0.786540\pi\) |
0.999106 | − | 0.0422730i | \(-0.0134599\pi\) | |||||||
\(548\) | −18.0531 | − | 13.1163i | −0.771189 | − | 0.560302i | ||||
\(549\) | 4.29682 | 0.183384 | ||||||||
\(550\) | 6.70728 | + | 9.79221i | 0.285999 | + | 0.417541i | ||||
\(551\) | 4.08653 | 0.174092 | ||||||||
\(552\) | −3.31834 | − | 2.41091i | −0.141238 | − | 0.102615i | ||||
\(553\) | 1.30042 | − | 4.00228i | 0.0552994 | − | 0.170194i | ||||
\(554\) | −1.36962 | − | 4.21524i | −0.0581894 | − | 0.179089i | ||||
\(555\) | 2.13466 | − | 1.55092i | 0.0906113 | − | 0.0658329i | ||||
\(556\) | 3.59140 | − | 2.60931i | 0.152309 | − | 0.110659i | ||||
\(557\) | −5.34308 | − | 16.4443i | −0.226394 | − | 0.696768i | −0.998147 | − | 0.0608464i | \(-0.980620\pi\) |
0.771753 | − | 0.635922i | \(-0.219380\pi\) | |||||||
\(558\) | 0.523972 | − | 1.61262i | 0.0221815 | − | 0.0682677i | ||||
\(559\) | −9.66277 | − | 7.02041i | −0.408691 | − | 0.296932i | ||||
\(560\) | 8.62689 | 0.364553 | ||||||||
\(561\) | −3.19409 | + | 0.940653i | −0.134854 | + | 0.0397144i | ||||
\(562\) | −10.1771 | −0.429294 | ||||||||
\(563\) | 0.465126 | + | 0.337934i | 0.0196027 | + | 0.0142422i | 0.597543 | − | 0.801837i | \(-0.296144\pi\) |
−0.577941 | + | 0.816079i | \(0.696144\pi\) | |||||||
\(564\) | −3.36772 | + | 10.3648i | −0.141806 | + | 0.436435i | ||||
\(565\) | 11.6044 | + | 35.7147i | 0.488201 | + | 1.50253i | ||||
\(566\) | −5.27681 | + | 3.83383i | −0.221801 | + | 0.161148i | ||||
\(567\) | 0.533790 | − | 0.387821i | 0.0224171 | − | 0.0162870i | ||||
\(568\) | 3.95791 | + | 12.1812i | 0.166070 | + | 0.511112i | ||||
\(569\) | 11.8375 | − | 36.4320i | 0.496253 | − | 1.52731i | −0.318742 | − | 0.947841i | \(-0.603260\pi\) |
0.814995 | − | 0.579468i | \(-0.196740\pi\) | |||||||
\(570\) | 5.52567 | + | 4.01464i | 0.231445 | + | 0.168155i | ||||
\(571\) | −20.0309 | −0.838267 | −0.419133 | − | 0.907925i | \(-0.637666\pi\) | ||||
−0.419133 | + | 0.907925i | \(0.637666\pi\) | |||||||
\(572\) | −5.88764 | − | 2.09538i | −0.246175 | − | 0.0876124i | ||||
\(573\) | 3.84605 | 0.160671 | ||||||||
\(574\) | 0.320683 | + | 0.232990i | 0.0133850 | + | 0.00972480i | ||||
\(575\) | 10.0900 | − | 31.0538i | 0.420782 | − | 1.29503i | ||||
\(576\) | −1.65471 | − | 5.09267i | −0.0689462 | − | 0.212195i | ||||
\(577\) | 23.0579 | − | 16.7525i | 0.959911 | − | 0.697416i | 0.00678098 | − | 0.999977i | \(-0.497842\pi\) |
0.953130 | + | 0.302561i | \(0.0978415\pi\) | |||||||
\(578\) | −4.40145 | + | 3.19784i | −0.183076 | + | 0.133013i | ||||
\(579\) | −6.50469 | − | 20.0194i | −0.270326 | − | 0.831977i | ||||
\(580\) | −1.83932 | + | 5.66084i | −0.0763735 | + | 0.235054i | ||||
\(581\) | −4.10798 | − | 2.98462i | −0.170428 | − | 0.123823i | ||||
\(582\) | 3.08457 | 0.127860 | ||||||||
\(583\) | 24.0570 | − | 31.2495i | 0.996340 | − | 1.29422i | ||||
\(584\) | 13.6918 | 0.566572 | ||||||||
\(585\) | 3.18709 | + | 2.31555i | 0.131770 | + | 0.0957364i | ||||
\(586\) | 1.25087 | − | 3.84977i | 0.0516728 | − | 0.159033i | ||||
\(587\) | −5.76814 | − | 17.7525i | −0.238076 | − | 0.732724i | −0.996698 | − | 0.0811929i | \(-0.974127\pi\) |
0.758622 | − | 0.651531i | \(-0.225873\pi\) | |||||||
\(588\) | −10.0072 | + | 7.27065i | −0.412689 | + | 0.299836i | ||||
\(589\) | −20.5499 | + | 14.9303i | −0.846742 | + | 0.615194i | ||||
\(590\) | −0.142842 | − | 0.439624i | −0.00588073 | − | 0.0180990i | ||||
\(591\) | −3.17186 | + | 9.76199i | −0.130473 | + | 0.401554i | ||||
\(592\) | −1.79845 | − | 1.30665i | −0.0739157 | − | 0.0537029i | ||||
\(593\) | 29.4986 | 1.21136 | 0.605681 | − | 0.795708i | \(-0.292901\pi\) | ||||
0.605681 | + | 0.795708i | \(0.292901\pi\) | |||||||
\(594\) | 0.0313153 | − | 1.12788i | 0.00128488 | − | 0.0462774i | ||||
\(595\) | 2.60952 | 0.106980 | ||||||||
\(596\) | −24.7501 | − | 17.9820i | −1.01380 | − | 0.736571i | ||||
\(597\) | −2.87735 | + | 8.85557i | −0.117762 | + | 0.362434i | ||||
\(598\) | −0.326315 | − | 1.00429i | −0.0133440 | − | 0.0410686i | ||||
\(599\) | 9.53109 | − | 6.92474i | 0.389430 | − | 0.282937i | −0.375792 | − | 0.926704i | \(-0.622629\pi\) |
0.765222 | + | 0.643767i | \(0.222629\pi\) | |||||||
\(600\) | −11.2457 | + | 8.17049i | −0.459104 | + | 0.333559i | ||||
\(601\) | −14.4309 | − | 44.4138i | −0.588650 | − | 1.81168i | −0.584092 | − | 0.811687i | \(-0.698549\pi\) |
−0.00455763 | − | 0.999990i | \(-0.501451\pi\) | |||||||
\(602\) | 0.828461 | − | 2.54974i | 0.0337656 | − | 0.103920i | ||||
\(603\) | 1.71683 | + | 1.24735i | 0.0699149 | + | 0.0507961i | ||||
\(604\) | 15.3994 | 0.626594 | ||||||||
\(605\) | −36.4173 | + | 23.4866i | −1.48057 | + | 0.954866i | ||||
\(606\) | −6.39798 | −0.259900 | ||||||||
\(607\) | 3.41290 | + | 2.47962i | 0.138525 | + | 0.100645i | 0.654890 | − | 0.755724i | \(-0.272715\pi\) |
−0.516364 | + | 0.856369i | \(0.672715\pi\) | |||||||
\(608\) | 5.94029 | − | 18.2823i | 0.240911 | − | 0.741447i | ||||
\(609\) | 0.163490 | + | 0.503171i | 0.00662496 | + | 0.0203895i | ||||
\(610\) | −4.65880 | + | 3.38481i | −0.188629 | + | 0.137047i | ||||
\(611\) | −4.67917 | + | 3.39962i | −0.189299 | + | 0.137534i | ||||
\(612\) | −0.584568 | − | 1.79912i | −0.0236298 | − | 0.0727250i | ||||
\(613\) | 9.91019 | − | 30.5004i | 0.400269 | − | 1.23190i | −0.524513 | − | 0.851402i | \(-0.675753\pi\) |
0.924782 | − | 0.380498i | \(-0.124247\pi\) | |||||||
\(614\) | 6.68920 | + | 4.85999i | 0.269954 | + | 0.196133i | ||||
\(615\) | 6.95678 | 0.280525 | ||||||||
\(616\) | 0.0802562 | − | 2.89057i | 0.00323362 | − | 0.116464i | ||||
\(617\) | −15.7235 | −0.633006 | −0.316503 | − | 0.948591i | \(-0.602509\pi\) | ||||
−0.316503 | + | 0.948591i | \(0.602509\pi\) | |||||||
\(618\) | −5.27245 | − | 3.83066i | −0.212089 | − | 0.154092i | ||||
\(619\) | −11.4230 | + | 35.1565i | −0.459131 | + | 1.41306i | 0.407085 | + | 0.913390i | \(0.366545\pi\) |
−0.866216 | + | 0.499670i | \(0.833455\pi\) | |||||||
\(620\) | −11.4328 | − | 35.1866i | −0.459153 | − | 1.41313i | ||||
\(621\) | −2.51119 | + | 1.82448i | −0.100770 | + | 0.0732140i | ||||
\(622\) | −4.04099 | + | 2.93595i | −0.162029 | + | 0.117721i | ||||
\(623\) | 0.970015 | + | 2.98540i | 0.0388628 | + | 0.119607i | ||||
\(624\) | 1.02562 | − | 3.15654i | 0.0410577 | − | 0.126363i | ||||
\(625\) | −26.7457 | − | 19.4319i | −1.06983 | − | 0.777275i | ||||
\(626\) | −2.48250 | −0.0992207 | ||||||||
\(627\) | −10.3108 | + | 13.3935i | −0.411775 | + | 0.534886i | ||||
\(628\) | 46.4107 | 1.85199 | ||||||||
\(629\) | −0.544006 | − | 0.395243i | −0.0216909 | − | 0.0157594i | ||||
\(630\) | −0.273253 | + | 0.840986i | −0.0108867 | + | 0.0335057i | ||||
\(631\) | −9.64700 | − | 29.6904i | −0.384041 | − | 1.18196i | −0.937174 | − | 0.348863i | \(-0.886568\pi\) |
0.553133 | − | 0.833093i | \(-0.313432\pi\) | |||||||
\(632\) | 6.81847 | − | 4.95391i | 0.271224 | − | 0.197056i | ||||
\(633\) | −10.1240 | + | 7.35554i | −0.402394 | + | 0.292356i | ||||
\(634\) | 0.582348 | + | 1.79228i | 0.0231280 | + | 0.0711807i | ||||
\(635\) | −9.22436 | + | 28.3897i | −0.366057 | + | 1.12661i | ||||
\(636\) | 18.1262 | + | 13.1694i | 0.718750 | + | 0.522202i | ||||
\(637\) | −6.56466 | −0.260101 | ||||||||
\(638\) | 0.852371 | + | 0.303355i | 0.0337457 | + | 0.0120099i | ||||
\(639\) | 9.69264 | 0.383435 | ||||||||
\(640\) | 29.8490 | + | 21.6866i | 1.17988 | + | 0.857236i | ||||
\(641\) | 11.2858 | − | 34.7342i | 0.445763 | − | 1.37192i | −0.435882 | − | 0.900004i | \(-0.643563\pi\) |
0.881645 | − | 0.471914i | \(-0.156437\pi\) | |||||||
\(642\) | 2.08804 | + | 6.42632i | 0.0824083 | + | 0.253627i | ||||
\(643\) | 29.4235 | − | 21.3774i | 1.16035 | − | 0.843043i | 0.170527 | − | 0.985353i | \(-0.445453\pi\) |
0.989822 | + | 0.142310i | \(0.0454529\pi\) | |||||||
\(644\) | −3.12201 | + | 2.26827i | −0.123024 | + | 0.0893824i | ||||
\(645\) | −14.5399 | − | 44.7493i | −0.572509 | − | 1.76200i | ||||
\(646\) | 0.537879 | − | 1.65542i | 0.0211626 | − | 0.0651317i | ||||
\(647\) | 6.77898 | + | 4.92521i | 0.266509 | + | 0.193630i | 0.713012 | − | 0.701152i | \(-0.247331\pi\) |
−0.446503 | + | 0.894782i | \(0.647331\pi\) | |||||||
\(648\) | 1.32142 | 0.0519104 | ||||||||
\(649\) | 1.09734 | − | 0.323165i | 0.0430744 | − | 0.0126853i | ||||
\(650\) | −3.57866 | −0.140367 | ||||||||
\(651\) | −2.66050 | − | 1.93297i | −0.104273 | − | 0.0757590i | ||||
\(652\) | 12.6475 | − | 38.9251i | 0.495315 | − | 1.52442i | ||||
\(653\) | 0.126996 | + | 0.390853i | 0.00496973 | + | 0.0152952i | 0.953511 | − | 0.301359i | \(-0.0974404\pi\) |
−0.948541 | + | 0.316655i | \(0.897440\pi\) | |||||||
\(654\) | −0.720363 | + | 0.523374i | −0.0281684 | + | 0.0204656i | ||||
\(655\) | 63.6536 | − | 46.2470i | 2.48715 | − | 1.80702i | ||||
\(656\) | −1.81117 | − | 5.57421i | −0.0707144 | − | 0.217636i | ||||
\(657\) | 3.20186 | − | 9.85431i | 0.124916 | − | 0.384453i | ||||
\(658\) | −1.05030 | − | 0.763090i | −0.0409451 | − | 0.0297484i | ||||
\(659\) | −47.2816 | −1.84183 | −0.920915 | − | 0.389764i | \(-0.872557\pi\) | ||||
−0.920915 | + | 0.389764i | \(0.872557\pi\) | |||||||
\(660\) | −13.9125 | − | 20.3113i | −0.541542 | − | 0.790618i | ||||
\(661\) | 17.5534 | 0.682749 | 0.341375 | − | 0.939927i | \(-0.389108\pi\) | ||||
0.341375 | + | 0.939927i | \(0.389108\pi\) | |||||||
\(662\) | −7.17138 | − | 5.21032i | −0.278724 | − | 0.202505i | ||||
\(663\) | 0.310237 | − | 0.954811i | 0.0120486 | − | 0.0370818i | ||||
\(664\) | −3.14255 | − | 9.67177i | −0.121955 | − | 0.375338i | ||||
\(665\) | 10.7168 | − | 7.78622i | 0.415580 | − | 0.301936i | ||||
\(666\) | 0.184342 | − | 0.133933i | 0.00714312 | − | 0.00518978i | ||||
\(667\) | −0.769130 | − | 2.36714i | −0.0297808 | − | 0.0916560i | ||||
\(668\) | −9.73804 | + | 29.9706i | −0.376776 | + | 1.15960i | ||||
\(669\) | 4.06510 | + | 2.95346i | 0.157166 | + | 0.114188i | ||||
\(670\) | −2.84407 | −0.109876 | ||||||||
\(671\) | −8.05328 | − | 11.7573i | −0.310893 | − | 0.453885i | ||||
\(672\) | 2.48874 | 0.0960053 | ||||||||
\(673\) | 2.76098 | + | 2.00597i | 0.106428 | + | 0.0773246i | 0.639726 | − | 0.768603i | \(-0.279048\pi\) |
−0.533298 | + | 0.845927i | \(0.679048\pi\) | |||||||
\(674\) | 1.46797 | − | 4.51795i | 0.0565441 | − | 0.174025i | ||||
\(675\) | 3.25065 | + | 10.0045i | 0.125118 | + | 0.385072i | ||||
\(676\) | 1.52440 | − | 1.10754i | 0.0586309 | − | 0.0425978i | ||||
\(677\) | −27.7761 | + | 20.1805i | −1.06752 | + | 0.775601i | −0.975465 | − | 0.220153i | \(-0.929344\pi\) |
−0.0920579 | + | 0.995754i | \(0.529344\pi\) | |||||||
\(678\) | 1.00212 | + | 3.08421i | 0.0384862 | + | 0.118448i | ||||
\(679\) | 1.84866 | − | 5.68960i | 0.0709451 | − | 0.218347i | ||||
\(680\) | 4.22812 | + | 3.07191i | 0.162141 | + | 0.117802i | ||||
\(681\) | −4.53884 | −0.173929 | ||||||||
\(682\) | −5.39463 | + | 1.58871i | −0.206571 | + | 0.0608348i | ||||
\(683\) | 2.04683 | 0.0783199 | 0.0391599 | − | 0.999233i | \(-0.487532\pi\) | ||||
0.0391599 | + | 0.999233i | \(0.487532\pi\) | |||||||
\(684\) | −7.76887 | − | 5.64442i | −0.297050 | − | 0.215820i | ||||
\(685\) | 14.4168 | − | 44.3705i | 0.550839 | − | 1.69531i | ||||
\(686\) | −0.940887 | − | 2.89575i | −0.0359232 | − | 0.110560i | ||||
\(687\) | 2.54757 | − | 1.85092i | 0.0971960 | − | 0.0706170i | ||||
\(688\) | −32.0706 | + | 23.3006i | −1.22268 | + | 0.888328i | ||||
\(689\) | 3.67442 | + | 11.3087i | 0.139984 | + | 0.430828i | ||||
\(690\) | 1.28550 | − | 3.95637i | 0.0489382 | − | 0.150616i | ||||
\(691\) | 33.7843 | + | 24.5457i | 1.28521 | + | 0.933763i | 0.999697 | − | 0.0246107i | \(-0.00783461\pi\) |
0.285517 | + | 0.958374i | \(0.407835\pi\) | |||||||
\(692\) | 18.0482 | 0.686090 | ||||||||
\(693\) | −2.06164 | − | 0.733727i | −0.0783152 | − | 0.0278720i | ||||
\(694\) | −8.49434 | −0.322441 | ||||||||
\(695\) | 7.50859 | + | 5.45531i | 0.284817 | + | 0.206932i | ||||
\(696\) | −0.327431 | + | 1.00773i | −0.0124113 | + | 0.0381979i | ||||
\(697\) | −0.547855 | − | 1.68612i | −0.0207515 | − | 0.0638665i | ||||
\(698\) | −8.29686 | + | 6.02802i | −0.314041 | + | 0.228164i | ||||
\(699\) | 1.46099 | − | 1.06147i | 0.0552599 | − | 0.0401487i | ||||
\(700\) | 4.04134 | + | 12.4380i | 0.152748 | + | 0.470110i | ||||
\(701\) | 12.7891 | − | 39.3607i | 0.483036 | − | 1.48663i | −0.351768 | − | 0.936087i | \(-0.614420\pi\) |
0.834805 | − | 0.550546i | \(-0.185580\pi\) | |||||||
\(702\) | 0.275227 | + | 0.199964i | 0.0103878 | + | 0.00754715i | ||||
\(703\) | −3.41345 | −0.128741 | ||||||||
\(704\) | −10.8336 | + | 14.0726i | −0.408308 | + | 0.530382i | ||||
\(705\) | −22.7849 | −0.858130 | ||||||||
\(706\) | 7.34299 | + | 5.33500i | 0.276357 | + | 0.200785i | ||||
\(707\) | −3.83447 | + | 11.8013i | −0.144210 | + | 0.443833i | ||||
\(708\) | 0.200831 | + | 0.618093i | 0.00754768 | + | 0.0232294i | ||||
\(709\) | −21.1535 | + | 15.3689i | −0.794437 | + | 0.577192i | −0.909277 | − | 0.416192i | \(-0.863365\pi\) |
0.114840 | + | 0.993384i | \(0.463365\pi\) | |||||||
\(710\) | −10.5092 | + | 7.63537i | −0.394403 | + | 0.286550i | ||||
\(711\) | −1.97093 | − | 6.06588i | −0.0739155 | − | 0.227488i | ||||
\(712\) | −1.94271 | + | 5.97903i | −0.0728060 | + | 0.224074i | ||||
\(713\) | 12.5162 | + | 9.09353i | 0.468734 | + | 0.340556i | ||||
\(714\) | 0.225350 | 0.00843350 | ||||||||
\(715\) | 0.362627 | − | 13.0607i | 0.0135615 | − | 0.488441i | ||||
\(716\) | 1.58336 | 0.0591729 | ||||||||
\(717\) | −11.4086 | − | 8.28881i | −0.426061 | − | 0.309551i | ||||
\(718\) | −1.53453 | + | 4.72279i | −0.0572680 | + | 0.176253i | ||||
\(719\) | −4.91562 | − | 15.1287i | −0.183322 | − | 0.564206i | 0.816594 | − | 0.577213i | \(-0.195860\pi\) |
−0.999915 | + | 0.0130068i | \(0.995860\pi\) | |||||||
\(720\) | 10.5779 | − | 7.68529i | 0.394215 | − | 0.286414i | ||||
\(721\) | −10.2257 | + | 7.42940i | −0.380825 | + | 0.276685i | ||||
\(722\) | −0.733019 | − | 2.25600i | −0.0272801 | − | 0.0839596i | ||||
\(723\) | −2.53203 | + | 7.79280i | −0.0941674 | + | 0.289817i | ||||
\(724\) | −4.97187 | − | 3.61227i | −0.184778 | − | 0.134249i | ||||
\(725\) | −8.43498 | −0.313267 | ||||||||
\(726\) | −3.14488 | + | 2.02823i | −0.116717 | + | 0.0752746i | ||||
\(727\) | −14.9983 | −0.556256 | −0.278128 | − | 0.960544i | \(-0.589714\pi\) | ||||
−0.278128 | + | 0.960544i | \(0.589714\pi\) | |||||||
\(728\) | 0.705363 | + | 0.512476i | 0.0261425 | + | 0.0189936i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 4.29113 | + | 13.2067i | 0.158822 | + | 0.488803i | ||||
\(731\) | −9.70091 | + | 7.04813i | −0.358801 | + | 0.260684i | ||||
\(732\) | 6.55008 | − | 4.75891i | 0.242098 | − | 0.175894i | ||||
\(733\) | 3.00726 | + | 9.25541i | 0.111076 | + | 0.341856i | 0.991108 | − | 0.133057i | \(-0.0424794\pi\) |
−0.880033 | + | 0.474913i | \(0.842479\pi\) | |||||||
\(734\) | −2.30737 | + | 7.10136i | −0.0851666 | + | 0.262116i | ||||
\(735\) | −20.9222 | − | 15.2008i | −0.771725 | − | 0.560691i | ||||
\(736\) | −11.7081 | −0.431568 | ||||||||
\(737\) | 0.195342 | − | 7.03557i | 0.00719550 | − | 0.259159i | ||||
\(738\) | 0.600766 | 0.0221145 | ||||||||
\(739\) | 4.76042 | + | 3.45865i | 0.175115 | + | 0.127228i | 0.671890 | − | 0.740651i | \(-0.265483\pi\) |
−0.496775 | + | 0.867879i | \(0.665483\pi\) | |||||||
\(740\) | 1.53637 | − | 4.72846i | 0.0564780 | − | 0.173821i | ||||
\(741\) | −1.57486 | − | 4.84691i | −0.0578538 | − | 0.178056i | ||||
\(742\) | −2.15929 | + | 1.56881i | −0.0792699 | + | 0.0575930i | ||||
\(743\) | −15.4545 | + | 11.2284i | −0.566971 | + | 0.411929i | −0.834004 | − | 0.551759i | \(-0.813957\pi\) |
0.267033 | + | 0.963688i | \(0.413957\pi\) | |||||||
\(744\) | −2.03525 | − | 6.26384i | −0.0746157 | − | 0.229644i | ||||
\(745\) | 19.7650 | − | 60.8303i | 0.724132 | − | 2.22865i | ||||
\(746\) | 2.27987 | + | 1.65642i | 0.0834721 | + | 0.0606460i | ||||
\(747\) | −7.69588 | −0.281577 | ||||||||
\(748\) | −3.82726 | + | 4.97152i | −0.139939 | + | 0.181777i | ||||
\(749\) | 13.1050 | 0.478846 | ||||||||
\(750\) | −5.98429 | − | 4.34784i | −0.218515 | − | 0.158761i | ||||
\(751\) | −9.54262 | + | 29.3692i | −0.348215 | + | 1.07170i | 0.611625 | + | 0.791148i | \(0.290516\pi\) |
−0.959840 | + | 0.280548i | \(0.909484\pi\) | |||||||
\(752\) | 5.93197 | + | 18.2567i | 0.216317 | + | 0.665754i | ||||
\(753\) | −3.99311 | + | 2.90116i | −0.145517 | + | 0.105724i | ||||
\(754\) | −0.220692 | + | 0.160342i | −0.00803713 | + | 0.00583932i | ||||
\(755\) | 9.94904 | + | 30.6200i | 0.362083 | + | 1.11438i | ||||
\(756\) | 0.384182 | − | 1.18239i | 0.0139726 | − | 0.0430032i | ||||
\(757\) | 2.86630 | + | 2.08249i | 0.104178 | + | 0.0756895i | 0.638654 | − | 0.769494i | \(-0.279491\pi\) |
−0.534477 | + | 0.845183i | \(0.679491\pi\) | |||||||
\(758\) | −6.70651 | −0.243591 | ||||||||
\(759\) | 9.69886 | + | 3.45178i | 0.352046 | + | 0.125292i | ||||
\(760\) | 26.5300 | 0.962342 | ||||||||
\(761\) | 36.8615 | + | 26.7814i | 1.33623 | + | 0.970826i | 0.999574 | + | 0.0291972i | \(0.00929509\pi\) |
0.336653 | + | 0.941629i | \(0.390705\pi\) | |||||||
\(762\) | −0.796586 | + | 2.45164i | −0.0288573 | + | 0.0888136i | ||||
\(763\) | 0.533650 | + | 1.64240i | 0.0193194 | + | 0.0594590i | ||||
\(764\) | 5.86293 | − | 4.25967i | 0.212113 | − | 0.154109i | ||||
\(765\) | 3.19967 | − | 2.32470i | 0.115684 | − | 0.0840496i | ||||
\(766\) | 1.02411 | + | 3.15188i | 0.0370025 | + | 0.113882i | ||||
\(767\) | −0.106583 | + | 0.328029i | −0.00384849 | + | 0.0118444i | ||||
\(768\) | −6.08650 | − | 4.42210i | −0.219628 | − | 0.159569i | ||||
\(769\) | 27.0550 | 0.975629 | 0.487815 | − | 0.872947i | \(-0.337794\pi\) | ||||
0.487815 | + | 0.872947i | \(0.337794\pi\) | |||||||
\(770\) | 2.81331 | − | 0.828515i | 0.101385 | − | 0.0298576i | ||||
\(771\) | −9.97255 | −0.359152 | ||||||||
\(772\) | −32.0881 | − | 23.3134i | −1.15488 | − | 0.839066i | ||||
\(773\) | 8.51708 | − | 26.2129i | 0.306338 | − | 0.942811i | −0.672837 | − | 0.739791i | \(-0.734924\pi\) |
0.979175 | − | 0.203020i | \(-0.0650757\pi\) | |||||||
\(774\) | −1.25562 | − | 3.86441i | −0.0451324 | − | 0.138903i | ||||
\(775\) | 42.4168 | − | 30.8176i | 1.52366 | − | 1.10700i | ||||
\(776\) | 9.69307 | − | 7.04243i | 0.347961 | − | 0.252809i | ||||
\(777\) | −0.136562 | − | 0.420295i | −0.00489914 | − | 0.0150780i | ||||
\(778\) | 1.72744 | − | 5.31651i | 0.0619316 | − | 0.190606i | ||||
\(779\) | −7.28095 | − | 5.28992i | −0.260867 | − | 0.189531i | ||||
\(780\) | 7.42298 | 0.265785 | ||||||||
\(781\) | −18.1664 | − | 26.5218i | −0.650043 | − | 0.949023i | ||||
\(782\) | −1.06014 | −0.0379107 | ||||||||
\(783\) | 0.648715 | + | 0.471319i | 0.0231832 | + | 0.0168436i | ||||
\(784\) | −6.73286 | + | 20.7216i | −0.240459 | + | 0.740058i | ||||
\(785\) | 29.9843 | + | 92.2823i | 1.07019 | + | 3.29370i | ||||
\(786\) | 5.49692 | − | 3.99375i | 0.196069 | − | 0.142452i | ||||
\(787\) | 28.6431 | − | 20.8105i | 1.02102 | − | 0.741813i | 0.0545264 | − | 0.998512i | \(-0.482635\pi\) |
0.966491 | + | 0.256700i | \(0.0826351\pi\) | |||||||
\(788\) | 5.97663 | + | 18.3942i | 0.212908 | + | 0.655265i | ||||
\(789\) | −6.30282 | + | 19.3981i | −0.224386 | + | 0.690590i | ||||
\(790\) | 6.91536 | + | 5.02430i | 0.246037 | + | 0.178757i | ||||
\(791\) | 6.28952 | 0.223629 | ||||||||
\(792\) | −2.47667 | − | 3.61578i | −0.0880045 | − | 0.128481i | ||||
\(793\) | 4.29682 | 0.152584 | ||||||||
\(794\) | 5.00583 | + | 3.63695i | 0.177650 | + | 0.129071i | ||||
\(795\) | −14.4752 | + | 44.5502i | −0.513384 | + | 1.58003i | ||||
\(796\) | 5.42169 | + | 16.6862i | 0.192167 | + | 0.591428i | ||||
\(797\) | 25.9464 | − | 18.8512i | 0.919070 | − | 0.667743i | −0.0242225 | − | 0.999707i | \(-0.507711\pi\) |
0.943292 | + | 0.331963i | \(0.107711\pi\) | |||||||
\(798\) | 0.925469 | − | 0.672393i | 0.0327613 | − | 0.0238024i | ||||
\(799\) | 1.79434 | + | 5.52241i | 0.0634792 | + | 0.195369i | ||||
\(800\) | −12.2613 | + | 37.7364i | −0.433503 | + | 1.33418i | ||||
\(801\) | 3.84893 | + | 2.79641i | 0.135995 | + | 0.0988064i | ||||
\(802\) | −0.182193 | −0.00643345 | ||||||||
\(803\) | −32.9652 | + | 9.70818i | −1.16332 | + | 0.342594i | ||||
\(804\) | 3.99864 | 0.141021 | ||||||||
\(805\) | −6.52722 | − | 4.74230i | −0.230054 | − | 0.167144i | ||||
\(806\) | 0.523972 | − | 1.61262i | 0.0184561 | − | 0.0568021i | ||||
\(807\) | −4.47670 | − | 13.7779i | −0.157587 | − | 0.485003i | ||||
\(808\) | −20.1052 | + | 14.6073i | −0.707300 | + | 0.513883i | ||||
\(809\) | −2.90853 | + | 2.11317i | −0.102259 | + | 0.0742952i | −0.637740 | − | 0.770252i | \(-0.720130\pi\) |
0.535481 | + | 0.844547i | \(0.320130\pi\) | |||||||
\(810\) | 0.414144 | + | 1.27460i | 0.0145515 | + | 0.0447851i | ||||
\(811\) | 2.38932 | − | 7.35357i | 0.0839004 | − | 0.258219i | −0.900302 | − | 0.435266i | \(-0.856654\pi\) |
0.984202 | + | 0.177047i | \(0.0566544\pi\) | |||||||
\(812\) | 0.806508 | + | 0.585962i | 0.0283029 | + | 0.0205633i | ||||
\(813\) | −21.7837 | −0.763986 | ||||||||
\(814\) | −0.711979 | − | 0.253390i | −0.0249549 | − | 0.00888131i | ||||
\(815\) | 85.5693 | 2.99736 | ||||||||
\(816\) | −2.69571 | − | 1.95855i | −0.0943689 | − | 0.0685630i | ||||
\(817\) | −18.8098 | + | 57.8907i | −0.658072 | + | 2.02534i | ||||
\(818\) | −1.93503 | − | 5.95542i | −0.0676569 | − | 0.208226i | ||||
\(819\) | 0.533790 | − | 0.387821i | 0.0186521 | − | 0.0135516i | ||||
\(820\) | 10.6049 | − | 7.70494i | 0.370340 | − | 0.269068i | ||||
\(821\) | −7.94062 | − | 24.4387i | −0.277130 | − | 0.852918i | −0.988648 | − | 0.150250i | \(-0.951992\pi\) |
0.711518 | − | 0.702668i | \(-0.248008\pi\) | |||||||
\(822\) | 1.24499 | − | 3.83169i | 0.0434241 | − | 0.133646i | ||||
\(823\) | −11.5438 | − | 8.38708i | −0.402392 | − | 0.292355i | 0.368122 | − | 0.929777i | \(-0.380001\pi\) |
−0.770515 | + | 0.637422i | \(0.780001\pi\) | |||||||
\(824\) | −25.3142 | −0.881861 | ||||||||
\(825\) | 21.2825 | − | 27.6455i | 0.740962 | − | 0.962492i | ||||
\(826\) | −0.0774197 | −0.00269378 | ||||||||
\(827\) | −3.82042 | − | 2.77570i | −0.132849 | − | 0.0965205i | 0.519376 | − | 0.854546i | \(-0.326164\pi\) |
−0.652225 | + | 0.758025i | \(0.726164\pi\) | |||||||
\(828\) | −1.80736 | + | 5.56249i | −0.0628102 | + | 0.193310i | ||||
\(829\) | 13.8510 | + | 42.6289i | 0.481064 | + | 1.48056i | 0.837601 | + | 0.546283i | \(0.183958\pi\) |
−0.356536 | + | 0.934281i | \(0.616042\pi\) | |||||||
\(830\) | 8.34420 | − | 6.06242i | 0.289632 | − | 0.210430i | ||||
\(831\) | −10.5400 | + | 7.65777i | −0.365629 | + | 0.265645i | ||||
\(832\) | −1.65471 | − | 5.09267i | −0.0573667 | − | 0.176557i | ||||
\(833\) | −2.03660 | + | 6.26801i | −0.0705640 | + | 0.217174i | ||||
\(834\) | 0.648418 | + | 0.471103i | 0.0224529 | + | 0.0163130i | ||||
\(835\) | −65.8845 | −2.28003 | ||||||||
\(836\) | −0.883943 | + | 31.8368i | −0.0305718 | + | 1.10110i | ||||
\(837\) | −4.98417 | −0.172278 | ||||||||
\(838\) | −8.24782 | − | 5.99239i | −0.284916 | − | 0.207004i | ||||
\(839\) | 1.59373 | − | 4.90500i | 0.0550217 | − | 0.169339i | −0.919769 | − | 0.392460i | \(-0.871624\pi\) |
0.974791 | + | 0.223120i | \(0.0716243\pi\) | |||||||
\(840\) | 1.06139 | + | 3.26661i | 0.0366213 | + | 0.112709i | ||||
\(841\) | 22.9413 | − | 16.6678i | 0.791080 | − | 0.574753i | ||||
\(842\) | 9.20274 | − | 6.68618i | 0.317147 | − | 0.230421i | ||||
\(843\) | 9.24427 | + | 28.4509i | 0.318390 | + | 0.979902i | ||||
\(844\) | −7.28652 | + | 22.4256i | −0.250812 | + | 0.771921i | ||||
\(845\) | 3.18709 | + | 2.31555i | 0.109639 | + | 0.0796575i | ||||
\(846\) | −1.96763 | −0.0676486 | ||||||||
\(847\) | 1.85633 | + | 7.01640i | 0.0637842 | + | 0.241086i | ||||
\(848\) | 39.4650 | 1.35523 | ||||||||
\(849\) | 15.5110 | + | 11.2694i | 0.532335 | + | 0.386764i | ||||
\(850\) | −1.11023 | + | 3.41695i | −0.0380807 | + | 0.117200i | ||||
\(851\) | 0.642448 | + | 1.97725i | 0.0220229 | + | 0.0677794i | ||||
\(852\) | 14.7755 | − | 10.7350i | 0.506200 | − | 0.367776i | ||||
\(853\) | 15.3270 | − | 11.1357i | 0.524788 | − | 0.381281i | −0.293617 | − | 0.955923i | \(-0.594859\pi\) |
0.818405 | + | 0.574643i | \(0.194859\pi\) | |||||||
\(854\) | 0.298040 | + | 0.917274i | 0.0101987 | + | 0.0313885i | ||||
\(855\) | 6.20408 | − | 19.0942i | 0.212175 | − | 0.653007i | ||||
\(856\) | 21.2336 | + | 15.4271i | 0.725748 | + | 0.527287i | ||||
\(857\) | −34.9448 | −1.19369 | −0.596846 | − | 0.802356i | \(-0.703580\pi\) | ||||
−0.596846 | + | 0.802356i | \(0.703580\pi\) | |||||||
\(858\) | 0.0313153 | − | 1.12788i | 0.00106909 | − | 0.0385051i | ||||
\(859\) | −43.3058 | −1.47757 | −0.738787 | − | 0.673938i | \(-0.764601\pi\) | ||||
−0.738787 | + | 0.673938i | \(0.764601\pi\) | |||||||
\(860\) | −71.7265 | − | 52.1124i | −2.44585 | − | 1.77702i | ||||
\(861\) | 0.360054 | − | 1.10813i | 0.0122706 | − | 0.0377650i | ||||
\(862\) | −2.69408 | − | 8.29153i | −0.0917608 | − | 0.282411i | ||||
\(863\) | 23.6969 | − | 17.2168i | 0.806653 | − | 0.586068i | −0.106205 | − | 0.994344i | \(-0.533870\pi\) |
0.912858 | + | 0.408276i | \(0.133870\pi\) | |||||||
\(864\) | 3.05158 | − | 2.21710i | 0.103817 | − | 0.0754274i | ||||
\(865\) | 11.6603 | + | 35.8868i | 0.396463 | + | 1.22019i | ||||
\(866\) | 0.726354 | − | 2.23549i | 0.0246825 | − | 0.0759650i | ||||
\(867\) | 12.9379 | + | 9.39991i | 0.439393 | + | 0.319238i | ||||
\(868\) | −6.19652 | −0.210324 | ||||||||
\(869\) | −12.9040 | + | 16.7619i | −0.437737 | + | 0.568610i | ||||
\(870\) | −1.07465 | −0.0364339 | ||||||||
\(871\) | 1.71683 | + | 1.24735i | 0.0581727 | + | 0.0422649i | ||||
\(872\) | −1.06877 | + | 3.28934i | −0.0361932 | + | 0.111391i | ||||
\(873\) | −2.80185 | − | 8.62320i | −0.0948282 | − | 0.291851i | ||||
\(874\) | −4.35382 | + | 3.16323i | −0.147270 | + | 0.106998i | ||||
\(875\) | −11.6063 | + | 8.43244i | −0.392363 | + | 0.285069i | ||||
\(876\) | −6.03315 | − | 18.5681i | −0.203841 | − | 0.627359i | ||||
\(877\) | −3.16523 | + | 9.74156i | −0.106882 | + | 0.328949i | −0.990168 | − | 0.139886i | \(-0.955326\pi\) |
0.883286 | + | 0.468835i | \(0.155326\pi\) | |||||||
\(878\) | 7.41493 | + | 5.38726i | 0.250242 | + | 0.181811i | ||||
\(879\) | −11.8986 | −0.401330 | ||||||||
\(880\) | −40.8546 | − | 14.5400i | −1.37721 | − | 0.490142i | ||||
\(881\) | −40.9069 | −1.37819 | −0.689094 | − | 0.724672i | \(-0.741991\pi\) | ||||
−0.689094 | + | 0.724672i | \(0.741991\pi\) | |||||||
\(882\) | −1.80677 | − | 1.31270i | −0.0608371 | − | 0.0442008i | ||||
\(883\) | −9.59469 | + | 29.5294i | −0.322887 | + | 0.993744i | 0.649498 | + | 0.760363i | \(0.274979\pi\) |
−0.972385 | + | 0.233381i | \(0.925021\pi\) | |||||||
\(884\) | −0.584568 | − | 1.79912i | −0.0196612 | − | 0.0605108i | ||||
\(885\) | −1.09926 | + | 0.798657i | −0.0369511 | + | 0.0268466i | ||||
\(886\) | 3.52656 | − | 2.56219i | 0.118477 | − | 0.0860786i | ||||
\(887\) | 1.62682 | + | 5.00683i | 0.0546232 | + | 0.168113i | 0.974646 | − | 0.223751i | \(-0.0718303\pi\) |
−0.920023 | + | 0.391864i | \(0.871830\pi\) | |||||||
\(888\) | 0.273501 | − | 0.841749i | 0.00917809 | − | 0.0282473i | ||||
\(889\) | 4.04472 | + | 2.93866i | 0.135655 | + | 0.0985595i | ||||
\(890\) | −6.37606 | −0.213726 | ||||||||
\(891\) | −3.18153 | + | 0.936954i | −0.106585 | + | 0.0313891i | ||||
\(892\) | 9.46793 | 0.317010 | ||||||||
\(893\) | 23.8467 | + | 17.3256i | 0.797998 | + | 0.579779i | ||||
\(894\) | 1.70684 | − | 5.25311i | 0.0570852 | − | 0.175690i | ||||
\(895\) | 1.02295 | + | 3.14833i | 0.0341936 | + | 0.105237i | ||||
\(896\) | 4.99927 | − | 3.63218i | 0.167014 | − | 0.121343i | ||||
\(897\) | −2.51119 | + | 1.82448i | −0.0838461 | + | 0.0609177i | ||||
\(898\) | −2.01781 | − | 6.21019i | −0.0673353 | − | 0.207237i | ||||
\(899\) | 1.23501 | − | 3.80098i | 0.0411900 | − | 0.126770i | ||||
\(900\) | 16.0357 | + | 11.6506i | 0.534522 | + | 0.388353i | ||||
\(901\) | 11.9376 | 0.397700 | ||||||||
\(902\) | −1.12598 | − | 1.64386i | −0.0374910 | − | 0.0547346i | ||||
\(903\) | −7.88056 | −0.262248 | ||||||||
\(904\) | 10.1907 | + | 7.40397i | 0.338937 | + | 0.246252i | ||||
\(905\) | 3.97044 | − | 12.2198i | 0.131982 | − | 0.406199i | ||||
\(906\) | 0.859167 | + | 2.64425i | 0.0285439 | + | 0.0878492i | ||||
\(907\) | 18.1418 | − | 13.1808i | 0.602387 | − | 0.437660i | −0.244338 | − | 0.969690i | \(-0.578571\pi\) |
0.846725 | + | 0.532030i | \(0.178571\pi\) | |||||||
\(908\) | −6.91902 | + | 5.02696i | −0.229616 | + | 0.166826i | ||||
\(909\) | 5.81155 | + | 17.8861i | 0.192757 | + | 0.593245i | ||||
\(910\) | −0.273253 | + | 0.840986i | −0.00905824 | + | 0.0278784i | ||||
\(911\) | −20.5237 | − | 14.9114i | −0.679982 | − | 0.494036i | 0.193370 | − | 0.981126i | \(-0.438058\pi\) |
−0.873352 | + | 0.487090i | \(0.838058\pi\) | |||||||
\(912\) | −16.9147 | −0.560100 | ||||||||
\(913\) | 14.4239 | + | 21.0581i | 0.477363 | + | 0.696920i | ||||
\(914\) | 0.567227 | 0.0187622 | ||||||||
\(915\) | 13.6943 | + | 9.94952i | 0.452721 | + | 0.328921i | ||||
\(916\) | 1.83355 | − | 5.64310i | 0.0605823 | − | 0.186453i | ||||
\(917\) | −4.07216 | − | 12.5328i | −0.134474 | − | 0.413870i | ||||
\(918\) | 0.276313 | − | 0.200753i | 0.00911970 | − | 0.00662585i | ||||
\(919\) | 23.1138 | − | 16.7932i | 0.762455 | − | 0.553956i | −0.137207 | − | 0.990542i | \(-0.543813\pi\) |
0.899662 | + | 0.436586i | \(0.143813\pi\) | |||||||
\(920\) | −4.99323 | − | 15.3676i | −0.164622 | − | 0.506654i | ||||
\(921\) | 7.51045 | − | 23.1148i | 0.247478 | − | 0.761658i | ||||
\(922\) | −5.15762 | − | 3.74723i | −0.169857 | − | 0.123409i | ||||
\(923\) | 9.69264 | 0.319037 | ||||||||
\(924\) | −3.95540 | + | 1.16486i | −0.130123 | + | 0.0383210i | ||||
\(925\) | 7.04567 | 0.231660 | ||||||||
\(926\) | 3.15107 | + | 2.28939i | 0.103551 | + | 0.0752340i | ||||
\(927\) | −5.91976 | + | 18.2192i | −0.194431 | + | 0.598396i | ||||
\(928\) | 0.934643 | + | 2.87653i | 0.0306811 | + | 0.0944269i | ||||
\(929\) | 41.7745 | − | 30.3510i | 1.37058 | − | 0.995783i | 0.372886 | − | 0.927877i | \(-0.378368\pi\) |
0.997692 | − | 0.0679061i | \(-0.0216318\pi\) | |||||||
\(930\) | 5.40405 | − | 3.92628i | 0.177206 | − | 0.128748i | ||||
\(931\) | 10.3384 | + | 31.8183i | 0.338827 | + | 1.04280i | ||||
\(932\) | 1.05151 | − | 3.23623i | 0.0344435 | − | 0.106006i | ||||
\(933\) | 11.8783 | + | 8.63011i | 0.388879 | + | 0.282537i | ||||
\(934\) | −4.68809 | −0.153399 | ||||||||
\(935\) | −12.3580 | − | 4.39814i | −0.404149 | − | 0.143835i | ||||
\(936\) | 1.32142 | 0.0431921 | ||||||||
\(937\) | 0.162230 | + | 0.117867i | 0.00529983 | + | 0.00385055i | 0.590432 | − | 0.807087i | \(-0.298957\pi\) |
−0.585132 | + | 0.810938i | \(0.698957\pi\) | |||||||
\(938\) | −0.147197 | + | 0.453026i | −0.00480615 | + | 0.0147918i | ||||
\(939\) | 2.25496 | + | 6.94005i | 0.0735878 | + | 0.226480i | ||||
\(940\) | −34.7334 | + | 25.2353i | −1.13288 | + | 0.823084i | ||||
\(941\) | 0.626931 | − | 0.455492i | 0.0204374 | − | 0.0148486i | −0.577520 | − | 0.816377i | \(-0.695979\pi\) |
0.597957 | + | 0.801528i | \(0.295979\pi\) | |||||||
\(942\) | 2.58935 | + | 7.96921i | 0.0843657 | + | 0.259651i | ||||
\(943\) | −1.69385 | + | 5.21314i | −0.0551594 | + | 0.169763i | ||||
\(944\) | 0.926122 | + | 0.672867i | 0.0301427 | + | 0.0219000i | ||||
\(945\) | 2.59926 | 0.0845539 | ||||||||
\(946\) | −8.22076 | + | 10.6786i | −0.267280 | + | 0.347190i | ||||
\(947\) | −4.68762 | −0.152327 | −0.0761637 | − | 0.997095i | \(-0.524267\pi\) | ||||
−0.0761637 | + | 0.997095i | \(0.524267\pi\) | |||||||
\(948\) | −9.72271 | − | 7.06396i | −0.315779 | − | 0.229427i | ||||
\(949\) | 3.20186 | − | 9.85431i | 0.103937 | − | 0.319884i | ||||
\(950\) | 5.63587 | + | 17.3454i | 0.182852 | + | 0.562760i | ||||
\(951\) | 4.48152 | − | 3.25601i | 0.145323 | − | 0.105583i | ||||
\(952\) | 0.708147 | − | 0.514499i | 0.0229512 | − | 0.0166750i | ||||
\(953\) | −4.15847 | − | 12.7984i | −0.134706 | − | 0.414582i | 0.860838 | − | 0.508879i | \(-0.169940\pi\) |
−0.995544 | + | 0.0942965i | \(0.969940\pi\) | |||||||
\(954\) | −1.25003 | + | 3.84721i | −0.0404714 | + | 0.124558i | ||||
\(955\) | 12.2577 | + | 8.90574i | 0.396650 | + | 0.288183i | ||||
\(956\) | −26.5715 | −0.859382 | ||||||||
\(957\) | 0.0738109 | − | 2.65843i | 0.00238597 | − | 0.0859348i | ||||
\(958\) | −5.17515 | −0.167202 | ||||||||
\(959\) | −6.32153 | − | 4.59286i | −0.204133 | − | 0.148311i | ||||
\(960\) | 6.51865 | − | 20.0623i | 0.210389 | − | 0.647510i | ||||
\(961\) | −1.90294 | − | 5.85666i | −0.0613853 | − | 0.188924i | ||||
\(962\) | 0.184342 | − | 0.133933i | 0.00594344 | − | 0.00431816i | ||||
\(963\) | 16.0687 | − | 11.6746i | 0.517807 | − | 0.376209i | ||||
\(964\) | 4.77102 | + | 14.6837i | 0.153664 | + | 0.472930i | ||||
\(965\) | 25.6249 | − | 78.8654i | 0.824896 | − | 2.53877i | ||||
\(966\) | −0.563670 | − | 0.409530i | −0.0181358 | − | 0.0131764i | ||||
\(967\) | −21.8025 | −0.701120 | −0.350560 | − | 0.936540i | \(-0.614009\pi\) | ||||
−0.350560 | + | 0.936540i | \(0.614009\pi\) | |||||||
\(968\) | −5.25191 | + | 13.5537i | −0.168803 | + | 0.435632i | ||||
\(969\) | −5.11646 | −0.164364 | ||||||||
\(970\) | 9.83080 | + | 7.14250i | 0.315648 | + | 0.229332i | ||||
\(971\) | −8.74469 | + | 26.9134i | −0.280630 | + | 0.863692i | 0.707044 | + | 0.707170i | \(0.250028\pi\) |
−0.987674 | + | 0.156522i | \(0.949972\pi\) | |||||||
\(972\) | −0.582270 | − | 1.79204i | −0.0186763 | − | 0.0574798i | ||||
\(973\) | 1.25758 | − | 0.913684i | 0.0403161 | − | 0.0292914i | ||||
\(974\) | −5.73406 | + | 4.16604i | −0.183731 | + | 0.133488i | ||||
\(975\) | 3.25065 | + | 10.0045i | 0.104104 | + | 0.320399i | ||||
\(976\) | 4.40691 | − | 13.5631i | 0.141062 | − | 0.434144i | ||||
\(977\) | 38.5788 | + | 28.0292i | 1.23425 | + | 0.896732i | 0.997201 | − | 0.0747664i | \(-0.0238211\pi\) |
0.237045 | + | 0.971499i | \(0.423821\pi\) | |||||||
\(978\) | 7.38949 | 0.236290 | ||||||||
\(979\) | 0.437932 | − | 15.7729i | 0.0139964 | − | 0.504104i | ||||
\(980\) | −48.7294 | −1.55660 | ||||||||
\(981\) | 2.11748 | + | 1.53844i | 0.0676058 | + | 0.0491185i | ||||
\(982\) | −3.15145 | + | 9.69916i | −0.100567 | + | 0.309513i | ||||
\(983\) | 7.01481 | + | 21.5894i | 0.223738 | + | 0.688594i | 0.998417 | + | 0.0562399i | \(0.0179112\pi\) |
−0.774680 | + | 0.632354i | \(0.782089\pi\) | |||||||
\(984\) | 1.88787 | − | 1.37162i | 0.0601830 | − | 0.0437255i | ||||
\(985\) | −32.7134 | + | 23.7677i | −1.04234 | + | 0.757301i | ||||
\(986\) | 0.0846297 | + | 0.260463i | 0.00269516 | + | 0.00829484i | ||||
\(987\) | −1.17925 | + | 3.62937i | −0.0375360 | + | 0.115524i | ||||
\(988\) | −7.76887 | − | 5.64442i | −0.247161 | − | 0.179573i | ||||
\(989\) | 37.0736 | 1.17887 | ||||||||
\(990\) | 2.71147 | − | 3.52213i | 0.0861761 | − | 0.111941i | ||||
\(991\) | −5.00165 | −0.158883 | −0.0794413 | − | 0.996840i | \(-0.525314\pi\) | ||||
−0.0794413 | + | 0.996840i | \(0.525314\pi\) | |||||||
\(992\) | −15.2096 | − | 11.0504i | −0.482905 | − | 0.350851i | ||||
\(993\) | −8.05183 | + | 24.7810i | −0.255517 | + | 0.786401i | ||||
\(994\) | 0.672311 | + | 2.06916i | 0.0213244 | + | 0.0656298i | ||||
\(995\) | −29.6759 | + | 21.5608i | −0.940789 | + | 0.683524i | ||||
\(996\) | −11.7316 | + | 8.52351i | −0.371730 | + | 0.270078i | ||||
\(997\) | 12.6302 | + | 38.8719i | 0.400004 | + | 1.23108i | 0.924996 | + | 0.379978i | \(0.124068\pi\) |
−0.524992 | + | 0.851107i | \(0.675932\pi\) | |||||||
\(998\) | −2.54925 | + | 7.84579i | −0.0806951 | + | 0.248354i | ||||
\(999\) | −0.541867 | − | 0.393689i | −0.0171439 | − | 0.0124558i |
(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 | 429.2.n.a.235.2 | yes | 12 | |
11.3 | even | 5 | inner | 429.2.n.a.157.2 | ✓ | 12 | |
11.5 | even | 5 | 4719.2.a.bg.1.3 | 6 | |||
11.6 | odd | 10 | 4719.2.a.bh.1.4 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.n.a.157.2 | ✓ | 12 | 11.3 | even | 5 | inner | |
429.2.n.a.235.2 | yes | 12 | 1.1 | even | 1 | trivial | |
4719.2.a.bg.1.3 | 6 | 11.5 | even | 5 | |||
4719.2.a.bh.1.4 | 6 | 11.6 | odd | 10 |