Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(62,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.62");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.w (of order \(14\), degree \(6\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 188.14 | ||
Character | \(\chi\) | \(=\) | 441.188 |
Dual form | 441.2.w.a.251.14 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.947442 | − | 0.755560i | 0.669943 | − | 0.534262i | −0.228394 | − | 0.973569i | \(-0.573347\pi\) |
0.898337 | + | 0.439307i | \(0.144776\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.118266 | + | 0.518156i | −0.0591329 | + | 0.259078i | ||||
\(5\) | 3.15639 | − | 1.52004i | 1.41158 | − | 0.679781i | 0.436106 | − | 0.899895i | \(-0.356357\pi\) |
0.975474 | + | 0.220114i | \(0.0706429\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.53392 | + | 2.15571i | 0.579769 | + | 0.814781i | ||||
\(8\) | 1.33103 | + | 2.76391i | 0.470590 | + | 0.977191i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.84202 | − | 3.82499i | 0.582497 | − | 1.20957i | ||||
\(11\) | −0.959544 | + | 0.765211i | −0.289313 | + | 0.230720i | −0.757381 | − | 0.652973i | \(-0.773522\pi\) |
0.468068 | + | 0.883692i | \(0.344950\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.81566 | + | 3.84036i | −1.33562 | + | 1.06512i | −0.343595 | + | 0.939118i | \(0.611645\pi\) |
−0.992029 | + | 0.126006i | \(0.959784\pi\) | |||||||
\(14\) | 3.08207 | + | 0.883437i | 0.823718 | + | 0.236108i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.39168 | + | 1.15177i | 0.597920 | + | 0.287943i | ||||
\(17\) | −0.101589 | − | 0.445092i | −0.0246391 | − | 0.107951i | 0.961113 | − | 0.276155i | \(-0.0890603\pi\) |
−0.985752 | + | 0.168204i | \(0.946203\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 8.04235i | − | 1.84504i | −0.385946 | − | 0.922521i | \(-0.626125\pi\) | ||
0.385946 | − | 0.922521i | \(-0.373875\pi\) | |||||||
\(20\) | 0.414324 | + | 1.81527i | 0.0926457 | + | 0.405907i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.330950 | + | 1.44999i | −0.0705588 | + | 0.309138i | ||||
\(23\) | −1.94273 | − | 0.443416i | −0.405088 | − | 0.0924587i | 0.0151218 | − | 0.999886i | \(-0.495186\pi\) |
−0.420210 | + | 0.907427i | \(0.638044\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.53483 | − | 5.68650i | 0.906967 | − | 1.13730i | ||||
\(26\) | −1.66094 | + | 7.27704i | −0.325737 | + | 1.42715i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.29840 | + | 0.539866i | −0.245375 | + | 0.102025i | ||||
\(29\) | 6.85693 | − | 1.56505i | 1.27330 | − | 0.290623i | 0.468127 | − | 0.883661i | \(-0.344929\pi\) |
0.805174 | + | 0.593039i | \(0.202072\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 6.87818i | − | 1.23536i | −0.786430 | − | 0.617679i | \(-0.788073\pi\) | ||
0.786430 | − | 0.617679i | \(-0.211927\pi\) | |||||||
\(32\) | −2.84538 | + | 0.649440i | −0.502998 | + | 0.114806i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.432544 | − | 0.344943i | −0.0741807 | − | 0.0591572i | ||||
\(35\) | 8.11842 | + | 4.47263i | 1.37226 | + | 0.756013i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.226997 | + | 0.994537i | 0.0373180 | + | 0.163501i | 0.990153 | − | 0.139987i | \(-0.0447060\pi\) |
−0.952835 | + | 0.303488i | \(0.901849\pi\) | |||||||
\(38\) | −6.07648 | − | 7.61967i | −0.985736 | − | 1.23607i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 8.40250 | + | 6.70077i | 1.32855 | + | 1.05948i | ||||
\(41\) | 5.35226 | − | 2.57751i | 0.835882 | − | 0.402540i | 0.0335644 | − | 0.999437i | \(-0.489314\pi\) |
0.802318 | + | 0.596897i | \(0.203600\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.06594 | − | 3.88435i | −1.23004 | − | 0.592358i | −0.297953 | − | 0.954581i | \(-0.596304\pi\) |
−0.932092 | + | 0.362223i | \(0.882018\pi\) | |||||||
\(44\) | −0.283018 | − | 0.587692i | −0.0426665 | − | 0.0885979i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.17566 | + | 1.04774i | −0.320783 | + | 0.154481i | ||||
\(47\) | −0.922167 | − | 1.15636i | −0.134512 | − | 0.168672i | 0.710014 | − | 0.704188i | \(-0.248689\pi\) |
−0.844525 | + | 0.535515i | \(0.820117\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.29415 | + | 6.61339i | −0.327736 | + | 0.944769i | ||||
\(50\) | − | 8.81397i | − | 1.24648i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.42038 | − | 2.94945i | −0.196971 | − | 0.409015i | ||||
\(53\) | −7.14540 | − | 1.63089i | −0.981496 | − | 0.224020i | −0.298474 | − | 0.954418i | \(-0.596478\pi\) |
−0.683022 | + | 0.730398i | \(0.739335\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.86555 | + | 3.87385i | −0.251550 | + | 0.522349i | ||||
\(56\) | −3.91649 | + | 7.10894i | −0.523363 | + | 0.949973i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.31406 | − | 6.66362i | 0.697770 | − | 0.874976i | ||||
\(59\) | 6.83339 | + | 3.29079i | 0.889631 | + | 0.428424i | 0.822133 | − | 0.569296i | \(-0.192784\pi\) |
0.0674982 | + | 0.997719i | \(0.478498\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.28213 | + | 1.43385i | −0.804344 | + | 0.183586i | −0.604878 | − | 0.796318i | \(-0.706778\pi\) |
−0.199466 | + | 0.979905i | \(0.563921\pi\) | |||||||
\(62\) | −5.19688 | − | 6.51668i | −0.660004 | − | 0.827619i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.51533 | + | 6.91601i | −0.689417 | + | 0.864501i | ||||
\(65\) | −9.36261 | + | 19.4417i | −1.16129 | + | 2.41144i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.41606 | 0.172999 | 0.0864996 | − | 0.996252i | \(-0.472432\pi\) | ||||
0.0864996 | + | 0.996252i | \(0.472432\pi\) | |||||||
\(68\) | 0.242642 | 0.0294247 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 11.0711 | − | 1.89639i | 1.32325 | − | 0.226662i | ||||
\(71\) | −14.0112 | − | 3.19797i | −1.66283 | − | 0.379529i | −0.715202 | − | 0.698918i | \(-0.753665\pi\) |
−0.947624 | + | 0.319388i | \(0.896523\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.23210 | − | 0.982563i | −0.144206 | − | 0.115000i | 0.548730 | − | 0.836000i | \(-0.315112\pi\) |
−0.692936 | + | 0.720999i | \(0.743683\pi\) | |||||||
\(74\) | 0.966498 | + | 0.770757i | 0.112353 | + | 0.0895987i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.16720 | + | 0.951136i | 0.478010 | + | 0.109103i | ||||
\(77\) | −3.12144 | − | 0.894721i | −0.355721 | − | 0.101963i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.59140 | −0.741591 | −0.370795 | − | 0.928715i | \(-0.620915\pi\) | ||||
−0.370795 | + | 0.928715i | \(0.620915\pi\) | |||||||
\(80\) | 9.29981 | 1.03975 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.12349 | − | 6.48600i | 0.344932 | − | 0.716259i | ||||
\(83\) | 3.24033 | − | 4.06324i | 0.355672 | − | 0.445999i | −0.571518 | − | 0.820589i | \(-0.693645\pi\) |
0.927190 | + | 0.374591i | \(0.122217\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.997213 | − | 1.25047i | −0.108163 | − | 0.135632i | ||||
\(86\) | −10.5769 | + | 2.41410i | −1.14053 | + | 0.260319i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.39216 | − | 1.63358i | −0.361605 | − | 0.174140i | ||||
\(89\) | 8.27979 | − | 10.3825i | 0.877656 | − | 1.10055i | −0.116564 | − | 0.993183i | \(-0.537188\pi\) |
0.994220 | − | 0.107362i | \(-0.0342405\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −15.6656 | − | 4.49033i | −1.64220 | − | 0.470715i | ||||
\(92\) | 0.459518 | − | 0.954199i | 0.0479081 | − | 0.0994821i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.74740 | − | 0.398833i | −0.180230 | − | 0.0411364i | ||||
\(95\) | −12.2247 | − | 25.3848i | −1.25423 | − | 2.60443i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 11.9798i | 1.21636i | 0.793798 | + | 0.608182i | \(0.208101\pi\) | ||||
−0.793798 | + | 0.608182i | \(0.791899\pi\) | |||||||
\(98\) | 2.82323 | + | 7.99917i | 0.285190 | + | 0.808038i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.41018 | + | 3.02227i | 0.241018 | + | 0.302227i | ||||
\(101\) | 6.88920 | − | 3.31766i | 0.685501 | − | 0.330120i | −0.0585104 | − | 0.998287i | \(-0.518635\pi\) |
0.744011 | + | 0.668167i | \(0.232921\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.15066 | + | 10.6955i | 0.507509 | + | 1.05385i | 0.984571 | + | 0.174984i | \(0.0559875\pi\) |
−0.477062 | + | 0.878870i | \(0.658298\pi\) | |||||||
\(104\) | −17.0242 | − | 8.19843i | −1.66936 | − | 0.803922i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −8.00209 | + | 3.85360i | −0.777232 | + | 0.374295i | ||||
\(107\) | −5.08805 | − | 4.05759i | −0.491881 | − | 0.392262i | 0.345898 | − | 0.938272i | \(-0.387574\pi\) |
−0.837778 | + | 0.546010i | \(0.816146\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.58122 | + | 8.25259i | 0.630366 | + | 0.790454i | 0.989762 | − | 0.142731i | \(-0.0455884\pi\) |
−0.359395 | + | 0.933185i | \(0.617017\pi\) | |||||||
\(110\) | 1.15943 | + | 5.07978i | 0.110547 | + | 0.484338i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.18577 | + | 6.92249i | 0.112045 | + | 0.654114i | ||||
\(113\) | 15.7697 | + | 12.5759i | 1.48348 | + | 1.18304i | 0.938831 | + | 0.344379i | \(0.111911\pi\) |
0.544654 | + | 0.838661i | \(0.316661\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.80603 | + | 1.55343i | −0.634666 | + | 0.144858i | ||||
\(116\) | 3.73806i | 0.347070i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 8.96063 | − | 2.04520i | 0.824892 | − | 0.188276i | ||||
\(119\) | 0.803659 | − | 0.901735i | 0.0736713 | − | 0.0826619i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.11255 | + | 9.25570i | −0.192050 | + | 0.841427i | ||||
\(122\) | −4.86859 | + | 6.10502i | −0.440781 | + | 0.552722i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.56397 | + | 0.813454i | 0.320054 | + | 0.0730503i | ||||
\(125\) | 1.77219 | − | 7.76447i | 0.158510 | − | 0.694476i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.06065 | − | 4.64701i | −0.0941174 | − | 0.412355i | 0.905819 | − | 0.423666i | \(-0.139257\pi\) |
−0.999936 | + | 0.0113103i | \(0.996400\pi\) | |||||||
\(128\) | 4.88257i | 0.431562i | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 5.81881 | + | 25.4939i | 0.510343 | + | 2.23596i | ||||
\(131\) | 10.8445 | + | 5.22244i | 0.947489 | + | 0.456287i | 0.842805 | − | 0.538219i | \(-0.180903\pi\) |
0.104684 | + | 0.994506i | \(0.466617\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 17.3370 | − | 12.3364i | 1.50331 | − | 1.06970i | ||||
\(134\) | 1.34163 | − | 1.06992i | 0.115900 | − | 0.0924268i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.09498 | − | 0.873216i | 0.0938936 | − | 0.0748776i | ||||
\(137\) | −5.84780 | + | 12.1431i | −0.499611 | + | 1.03745i | 0.486854 | + | 0.873483i | \(0.338144\pi\) |
−0.986465 | + | 0.163970i | \(0.947570\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.37251 | + | 2.85004i | 0.116415 | + | 0.241737i | 0.951032 | − | 0.309093i | \(-0.100025\pi\) |
−0.834617 | + | 0.550830i | \(0.814311\pi\) | |||||||
\(140\) | −3.27765 | + | 3.67765i | −0.277012 | + | 0.310818i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −15.6911 | + | 7.55643i | −1.31677 | + | 0.634121i | ||||
\(143\) | 1.68215 | − | 7.36999i | 0.140669 | − | 0.616310i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 19.2642 | − | 15.3627i | 1.59981 | − | 1.27580i | ||||
\(146\) | −1.90973 | −0.158050 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.542172 | −0.0445662 | ||||||||
\(149\) | 4.48031 | − | 3.57293i | 0.367041 | − | 0.292706i | −0.422549 | − | 0.906340i | \(-0.638865\pi\) |
0.789590 | + | 0.613634i | \(0.210293\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.58064 | + | 6.92523i | −0.128631 | + | 0.563567i | 0.869003 | + | 0.494807i | \(0.164761\pi\) |
−0.997633 | + | 0.0687598i | \(0.978096\pi\) | |||||||
\(152\) | 22.2284 | − | 10.7046i | 1.80296 | − | 0.868259i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.63340 | + | 1.51074i | −0.292788 | + | 0.121739i | ||||
\(155\) | −10.4551 | − | 21.7102i | −0.839773 | − | 1.74381i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.34877 | + | 9.03031i | −0.347069 | + | 0.720697i | −0.999303 | − | 0.0373208i | \(-0.988118\pi\) |
0.652234 | + | 0.758018i | \(0.273832\pi\) | |||||||
\(158\) | −6.24497 | + | 4.98020i | −0.496823 | + | 0.396203i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −7.99397 | + | 6.37498i | −0.631979 | + | 0.503986i | ||||
\(161\) | −2.02413 | − | 4.86813i | −0.159524 | − | 0.383663i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.55622 | − | 3.63888i | −0.591849 | − | 0.285019i | 0.113888 | − | 0.993494i | \(-0.463670\pi\) |
−0.705737 | + | 0.708474i | \(0.749384\pi\) | |||||||
\(164\) | 0.702565 | + | 3.07814i | 0.0548611 | + | 0.240362i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | − | 6.29795i | − | 0.488816i | ||||||
\(167\) | −2.03637 | − | 8.92191i | −0.157579 | − | 0.690398i | −0.990558 | − | 0.137094i | \(-0.956224\pi\) |
0.832979 | − | 0.553304i | \(-0.186633\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.54944 | − | 24.3137i | 0.426880 | − | 1.87028i | ||||
\(170\) | −1.88960 | − | 0.431290i | −0.144926 | − | 0.0330784i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.96663 | − | 3.72003i | 0.226203 | − | 0.283650i | ||||
\(173\) | 0.0716983 | − | 0.314131i | 0.00545112 | − | 0.0238829i | −0.972129 | − | 0.234446i | \(-0.924672\pi\) |
0.977580 | + | 0.210563i | \(0.0675296\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 19.2145 | + | 1.05311i | 1.45248 | + | 0.0796078i | ||||
\(176\) | −3.17627 | + | 0.724963i | −0.239420 | + | 0.0546461i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 16.0927i | − | 1.20620i | ||||||
\(179\) | −7.72502 | + | 1.76319i | −0.577395 | + | 0.131787i | −0.501238 | − | 0.865309i | \(-0.667122\pi\) |
−0.0761567 | + | 0.997096i | \(0.524265\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −17.3051 | − | 13.8004i | −1.28628 | − | 1.02577i | −0.997663 | − | 0.0683268i | \(-0.978234\pi\) |
−0.288615 | − | 0.957445i | \(-0.593195\pi\) | |||||||
\(182\) | −18.2349 | + | 7.58194i | −1.35166 | + | 0.562011i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.36027 | − | 5.95975i | −0.100281 | − | 0.439358i | ||||
\(185\) | 2.22822 | + | 2.79410i | 0.163822 | + | 0.205427i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.438069 | + | 0.349348i | 0.0320348 | + | 0.0255469i | ||||
\(188\) | 0.708236 | − | 0.341069i | 0.0516534 | − | 0.0248750i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −30.7619 | − | 14.8142i | −2.23170 | − | 1.07473i | ||||
\(191\) | 10.0965 | + | 20.9655i | 0.730555 | + | 1.51701i | 0.851500 | + | 0.524354i | \(0.175693\pi\) |
−0.120945 | + | 0.992659i | \(0.538593\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.10991 | + | 1.49765i | −0.223856 | + | 0.107803i | −0.542451 | − | 0.840088i | \(-0.682503\pi\) |
0.318595 | + | 0.947891i | \(0.396789\pi\) | |||||||
\(194\) | 9.05146 | + | 11.3502i | 0.649857 | + | 0.814894i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.15545 | − | 1.97087i | −0.225389 | − | 0.140776i | ||||
\(197\) | − | 2.77362i | − | 0.197612i | −0.995107 | − | 0.0988062i | \(-0.968498\pi\) | ||
0.995107 | − | 0.0988062i | \(-0.0315024\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.14907 | − | 2.38608i | −0.0814557 | − | 0.169145i | 0.856263 | − | 0.516540i | \(-0.172780\pi\) |
−0.937719 | + | 0.347396i | \(0.887066\pi\) | |||||||
\(200\) | 21.7530 | + | 4.96498i | 1.53817 | + | 0.351077i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.02043 | − | 8.34850i | 0.282876 | − | 0.587398i | ||||
\(203\) | 13.8918 | + | 12.3809i | 0.975014 | + | 0.868967i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 12.9759 | − | 16.2713i | 0.906276 | − | 1.13643i | ||||
\(206\) | 12.9610 | + | 6.24169i | 0.903036 | + | 0.434879i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −15.9407 | + | 3.63837i | −1.10529 | + | 0.252275i | ||||
\(209\) | 6.15410 | + | 7.71699i | 0.425688 | + | 0.533796i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.79124 | + | 3.50010i | −0.192157 | + | 0.240957i | −0.868571 | − | 0.495564i | \(-0.834961\pi\) |
0.676415 | + | 0.736521i | \(0.263533\pi\) | |||||||
\(212\) | 1.69011 | − | 3.50956i | 0.116077 | − | 0.241037i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.88639 | −0.539102 | ||||||||
\(215\) | −31.3636 | −2.13898 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 14.8273 | − | 10.5506i | 1.00655 | − | 0.716222i | ||||
\(218\) | 12.4707 | + | 2.84634i | 0.844619 | + | 0.192779i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.78663 | − | 1.42479i | −0.120454 | − | 0.0960592i | ||||
\(221\) | 2.19854 | + | 1.75327i | 0.147890 | + | 0.117938i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.45202 | + | 0.787902i | 0.231165 | + | 0.0527618i | 0.336534 | − | 0.941671i | \(-0.390745\pi\) |
−0.105369 | + | 0.994433i | \(0.533602\pi\) | |||||||
\(224\) | −5.76461 | − | 5.13762i | −0.385164 | − | 0.343272i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 24.4427 | 1.62590 | ||||||||
\(227\) | −14.9921 | −0.995061 | −0.497530 | − | 0.867447i | \(-0.665760\pi\) | ||||
−0.497530 | + | 0.867447i | \(0.665760\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.82346 | − | 10.0160i | 0.318743 | − | 0.661877i | −0.678617 | − | 0.734492i | \(-0.737420\pi\) |
0.997360 | + | 0.0726156i | \(0.0231346\pi\) | |||||||
\(230\) | −5.27461 | + | 6.61416i | −0.347798 | + | 0.436125i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 13.4524 | + | 16.8688i | 0.883196 | + | 1.10749i | ||||
\(233\) | 7.35458 | − | 1.67864i | 0.481815 | − | 0.109971i | 0.0252870 | − | 0.999680i | \(-0.491950\pi\) |
0.456528 | + | 0.889709i | \(0.349093\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.66843 | − | 2.24820i | −0.304535 | − | 0.146656i | ||||
\(236\) | −2.51330 | + | 3.15158i | −0.163602 | + | 0.205150i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.0801051 | − | 1.46155i | 0.00519244 | − | 0.0947385i | ||||
\(239\) | 1.14542 | − | 2.37849i | 0.0740912 | − | 0.153852i | −0.860633 | − | 0.509225i | \(-0.829932\pi\) |
0.934724 | + | 0.355373i | \(0.115646\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.91058 | − | 1.12081i | −0.316318 | − | 0.0721976i | 0.0614142 | − | 0.998112i | \(-0.480439\pi\) |
−0.377732 | + | 0.925915i | \(0.623296\pi\) | |||||||
\(242\) | 4.99172 | + | 10.3654i | 0.320880 | + | 0.666313i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 3.42470i | − | 0.219244i | ||||||
\(245\) | 2.81136 | + | 24.3616i | 0.179611 | + | 1.55641i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 30.8855 | + | 38.7292i | 1.96520 | + | 2.46428i | ||||
\(248\) | 19.0107 | − | 9.15506i | 1.20718 | − | 0.581347i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4.18748 | − | 8.69539i | −0.264839 | − | 0.549945i | ||||
\(251\) | −2.02229 | − | 0.973881i | −0.127646 | − | 0.0614708i | 0.368971 | − | 0.929441i | \(-0.379710\pi\) |
−0.496617 | + | 0.867970i | \(0.665424\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.20345 | − | 1.06112i | 0.138529 | − | 0.0667123i | ||||
\(254\) | −4.51600 | − | 3.60139i | −0.283359 | − | 0.225971i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −7.34159 | − | 9.20606i | −0.458849 | − | 0.575379i | ||||
\(257\) | 1.76621 | + | 7.73825i | 0.110173 | + | 0.482699i | 0.999668 | + | 0.0257548i | \(0.00819892\pi\) |
−0.889495 | + | 0.456944i | \(0.848944\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.79574 | + | 2.01488i | −0.111582 | + | 0.125199i | ||||
\(260\) | −8.96655 | − | 7.15058i | −0.556082 | − | 0.443460i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 14.2204 | − | 3.24572i | 0.878540 | − | 0.200521i | ||||
\(263\) | − | 20.6681i | − | 1.27445i | −0.770678 | − | 0.637225i | \(-0.780082\pi\) | ||
0.770678 | − | 0.637225i | \(-0.219918\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −25.0327 | + | 5.71355i | −1.53775 | + | 0.350980i | ||||
\(266\) | 7.10491 | − | 24.7871i | 0.435630 | − | 1.51980i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.167471 | + | 0.733740i | −0.0102299 | + | 0.0448203i | ||||
\(269\) | 5.27129 | − | 6.60999i | 0.321396 | − | 0.403018i | −0.594719 | − | 0.803934i | \(-0.702737\pi\) |
0.916115 | + | 0.400916i | \(0.131308\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.94561 | − | 2.04178i | −0.543407 | − | 0.124029i | −0.0579988 | − | 0.998317i | \(-0.518472\pi\) |
−0.485408 | + | 0.874287i | \(0.661329\pi\) | |||||||
\(272\) | 0.269676 | − | 1.18153i | 0.0163515 | − | 0.0716405i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.63438 | + | 15.9232i | 0.219561 | + | 0.961958i | ||||
\(275\) | 8.92655i | 0.538291i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.96408 | − | 8.60518i | −0.118010 | − | 0.517035i | −0.999033 | − | 0.0439623i | \(-0.986002\pi\) |
0.881023 | − | 0.473073i | \(-0.156855\pi\) | |||||||
\(278\) | 3.45375 | + | 1.66324i | 0.207142 | + | 0.0997544i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.55610 | + | 28.3918i | −0.0929949 | + | 1.69673i | ||||
\(281\) | 14.4181 | − | 11.4980i | 0.860110 | − | 0.685915i | −0.0906366 | − | 0.995884i | \(-0.528890\pi\) |
0.950747 | + | 0.309969i | \(0.100319\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.08371 | − | 2.45917i | 0.183307 | − | 0.146183i | −0.527537 | − | 0.849532i | \(-0.676884\pi\) |
0.710844 | + | 0.703349i | \(0.248313\pi\) | |||||||
\(284\) | 3.31410 | − | 6.88180i | 0.196656 | − | 0.408359i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.97473 | − | 8.25361i | −0.235031 | − | 0.488046i | ||||
\(287\) | 13.7663 | + | 7.58420i | 0.812600 | + | 0.447681i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 15.1287 | − | 7.28559i | 0.889923 | − | 0.428564i | ||||
\(290\) | 6.64429 | − | 29.1106i | 0.390166 | − | 1.70943i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.654836 | − | 0.522215i | 0.0383214 | − | 0.0305603i | ||||
\(293\) | 0.602753 | 0.0352132 | 0.0176066 | − | 0.999845i | \(-0.494395\pi\) | ||||
0.0176066 | + | 0.999845i | \(0.494395\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 26.5709 | 1.54702 | ||||||||
\(296\) | −2.44667 | + | 1.95116i | −0.142210 | + | 0.113409i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.54527 | − | 6.77029i | 0.0895153 | − | 0.392192i | ||||
\(299\) | 11.0584 | − | 5.32546i | 0.639525 | − | 0.307979i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.99901 | − | 23.3461i | −0.230499 | − | 1.34565i | ||||
\(302\) | 3.73486 | + | 7.75552i | 0.214917 | + | 0.446280i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 9.26296 | − | 19.2347i | 0.531267 | − | 1.10319i | ||||
\(305\) | −17.6493 | + | 14.0749i | −1.01060 | + | 0.805925i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.84674 | + | 2.27020i | −0.162472 | + | 0.129567i | −0.701351 | − | 0.712816i | \(-0.747419\pi\) |
0.538879 | + | 0.842383i | \(0.318848\pi\) | |||||||
\(308\) | 0.832765 | − | 1.51158i | 0.0474512 | − | 0.0861302i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −26.3090 | − | 12.6697i | −1.49425 | − | 0.719592i | ||||
\(311\) | 7.31324 | + | 32.0414i | 0.414696 | + | 1.81690i | 0.561186 | + | 0.827689i | \(0.310345\pi\) |
−0.146491 | + | 0.989212i | \(0.546798\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.97171i | 0.281018i | 0.990079 | + | 0.140509i | \(0.0448739\pi\) | ||||
−0.990079 | + | 0.140509i | \(0.955126\pi\) | |||||||
\(314\) | 2.70273 | + | 11.8414i | 0.152524 | + | 0.668252i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.779538 | − | 3.41538i | 0.0438524 | − | 0.192130i | ||||
\(317\) | −5.13426 | − | 1.17186i | −0.288369 | − | 0.0658183i | 0.0758895 | − | 0.997116i | \(-0.475820\pi\) |
−0.364258 | + | 0.931298i | \(0.618678\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.38194 | + | 6.74873i | −0.301331 | + | 0.377857i | ||||
\(320\) | −6.89595 | + | 30.2131i | −0.385495 | + | 1.68897i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −5.59591 | − | 3.08292i | −0.311848 | − | 0.171805i | ||||
\(323\) | −3.57959 | + | 0.817018i | −0.199174 | + | 0.0454601i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 44.7997i | 2.48504i | ||||||||
\(326\) | −9.90848 | + | 2.26155i | −0.548780 | + | 0.125255i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 14.2480 | + | 11.3624i | 0.786716 | + | 0.627385i | ||||
\(329\) | 1.07824 | − | 3.76169i | 0.0594454 | − | 0.207389i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.80413 | + | 29.8108i | 0.373989 | + | 1.63855i | 0.715456 | + | 0.698658i | \(0.246219\pi\) |
−0.341467 | + | 0.939894i | \(0.610924\pi\) | |||||||
\(332\) | 1.72217 | + | 2.15954i | 0.0945166 | + | 0.118520i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −8.67038 | − | 6.91440i | −0.474422 | − | 0.378339i | ||||
\(335\) | 4.46963 | − | 2.15246i | 0.244202 | − | 0.117602i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 24.4093 | + | 11.7549i | 1.32966 | + | 0.640330i | 0.957660 | − | 0.287903i | \(-0.0929581\pi\) |
0.371999 | + | 0.928233i | \(0.378672\pi\) | |||||||
\(338\) | −13.1127 | − | 27.2288i | −0.713236 | − | 1.48105i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.765873 | − | 0.368825i | 0.0415353 | − | 0.0200023i | ||||
\(341\) | 5.26326 | + | 6.59992i | 0.285021 | + | 0.357406i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.7756 | + | 5.19891i | −0.959791 | + | 0.280715i | ||||
\(344\) | − | 27.4637i | − | 1.48075i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.169415 | − | 0.351793i | −0.00910779 | − | 0.0189125i | ||||
\(347\) | −11.7839 | − | 2.68961i | −0.632596 | − | 0.144386i | −0.105813 | − | 0.994386i | \(-0.533745\pi\) |
−0.526782 | + | 0.850000i | \(0.676602\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.3760 | − | 21.5459i | 0.555413 | − | 1.15333i | −0.414539 | − | 0.910032i | \(-0.636057\pi\) |
0.969952 | − | 0.243296i | \(-0.0782285\pi\) | |||||||
\(350\) | 19.0004 | − | 13.5200i | 1.01561 | − | 0.722673i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.23331 | − | 2.80048i | 0.119036 | − | 0.149266i | ||||
\(353\) | −11.6343 | − | 5.60277i | −0.619230 | − | 0.298205i | 0.0978448 | − | 0.995202i | \(-0.468805\pi\) |
−0.717075 | + | 0.696996i | \(0.754519\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −49.0859 | + | 11.2035i | −2.60521 | + | 0.594622i | ||||
\(356\) | 4.40056 | + | 5.51812i | 0.233229 | + | 0.292460i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −5.98682 | + | 7.50723i | −0.316413 | + | 0.396770i | ||||
\(359\) | 11.4734 | − | 23.8248i | 0.605544 | − | 1.25742i | −0.342569 | − | 0.939493i | \(-0.611297\pi\) |
0.948113 | − | 0.317932i | \(-0.102989\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −45.6795 | −2.40418 | ||||||||
\(362\) | −26.8226 | −1.40976 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4.17940 | − | 7.58616i | 0.219060 | − | 0.397623i | ||||
\(365\) | −5.38251 | − | 1.22852i | −0.281733 | − | 0.0643038i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.33611 | + | 1.06551i | 0.0697442 | + | 0.0556191i | 0.657741 | − | 0.753244i | \(-0.271512\pi\) |
−0.587997 | + | 0.808863i | \(0.700083\pi\) | |||||||
\(368\) | −4.13568 | − | 3.29810i | −0.215587 | − | 0.171925i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 4.22222 | + | 0.963695i | 0.219503 | + | 0.0501001i | ||||
\(371\) | −7.44478 | − | 17.9051i | −0.386514 | − | 0.929584i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.0506 | −0.572178 | −0.286089 | − | 0.958203i | \(-0.592355\pi\) | ||||
−0.286089 | + | 0.958203i | \(0.592355\pi\) | |||||||
\(374\) | 0.678999 | 0.0351102 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.96865 | − | 4.08794i | 0.101525 | − | 0.210819i | ||||
\(377\) | −27.0103 | + | 33.8699i | −1.39110 | + | 1.74439i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.73260 | − | 7.18846i | −0.294464 | − | 0.369246i | 0.612488 | − | 0.790480i | \(-0.290169\pi\) |
−0.906952 | + | 0.421234i | \(0.861597\pi\) | |||||||
\(380\) | 14.5991 | − | 3.33214i | 0.748916 | − | 0.170935i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 25.4066 | + | 12.2352i | 1.29991 | + | 0.626005i | ||||
\(383\) | 1.52822 | − | 1.91633i | 0.0780883 | − | 0.0979196i | −0.741253 | − | 0.671226i | \(-0.765768\pi\) |
0.819341 | + | 0.573306i | \(0.194339\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −11.2125 | + | 1.92062i | −0.571441 | + | 0.0978836i | ||||
\(386\) | −1.81489 | + | 3.76866i | −0.0923755 | + | 0.191820i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −6.20741 | − | 1.41680i | −0.315133 | − | 0.0719272i | ||||
\(389\) | 11.6682 | + | 24.2293i | 0.591603 | + | 1.22848i | 0.954935 | + | 0.296816i | \(0.0959248\pi\) |
−0.363332 | + | 0.931660i | \(0.618361\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.909742i | 0.0460077i | ||||||||
\(392\) | −21.3324 | + | 2.46178i | −1.07745 | + | 0.124339i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.09564 | − | 2.62785i | −0.105577 | − | 0.132389i | ||||
\(395\) | −20.8050 | + | 10.0192i | −1.04681 | + | 0.504119i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.53457 | + | 11.4927i | 0.277772 | + | 0.576800i | 0.992449 | − | 0.122654i | \(-0.0391407\pi\) |
−0.714677 | + | 0.699454i | \(0.753426\pi\) | |||||||
\(398\) | −2.89151 | − | 1.39248i | −0.144938 | − | 0.0697985i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 17.3954 | − | 8.37719i | 0.869771 | − | 0.418860i | ||||
\(401\) | −28.1965 | − | 22.4860i | −1.40807 | − | 1.12290i | −0.975171 | − | 0.221451i | \(-0.928921\pi\) |
−0.432895 | − | 0.901444i | \(-0.642508\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 26.4147 | + | 33.1230i | 1.31581 | + | 1.64997i | ||||
\(404\) | 0.904312 | + | 3.96205i | 0.0449912 | + | 0.197119i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 22.5162 | + | 1.23407i | 1.11746 | + | 0.0612459i | ||||
\(407\) | −0.978843 | − | 0.780602i | −0.0485195 | − | 0.0386930i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 25.5082 | − | 5.82209i | 1.26130 | − | 0.287884i | 0.460956 | − | 0.887423i | \(-0.347507\pi\) |
0.800345 | + | 0.599539i | \(0.204649\pi\) | |||||||
\(410\) | − | 25.2202i | − | 1.24553i | ||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −6.15106 | + | 1.40394i | −0.303041 | + | 0.0691672i | ||||
\(413\) | 3.38793 | + | 19.7786i | 0.166709 | + | 0.973241i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.05146 | − | 17.7506i | 0.198878 | − | 0.871342i | ||||
\(416\) | 11.2083 | − | 14.0548i | 0.549533 | − | 0.689093i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 11.6613 | + | 2.66162i | 0.570373 | + | 0.130184i | ||||
\(419\) | 5.59073 | − | 24.4946i | 0.273125 | − | 1.19664i | −0.633176 | − | 0.774008i | \(-0.718249\pi\) |
0.906301 | − | 0.422632i | \(-0.138894\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.50256 | + | 37.2521i | 0.414389 | + | 1.81556i | 0.562753 | + | 0.826625i | \(0.309742\pi\) |
−0.148364 | + | 0.988933i | \(0.547401\pi\) | |||||||
\(422\) | 5.42509i | 0.264089i | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −5.00310 | − | 21.9200i | −0.242972 | − | 1.06453i | ||||
\(425\) | −2.99171 | − | 1.44073i | −0.145119 | − | 0.0698858i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.7273 | − | 11.3430i | −0.615916 | − | 0.548926i | ||||
\(428\) | 2.70421 | − | 2.15653i | 0.130713 | − | 0.104240i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −29.7152 | + | 23.6971i | −1.43299 | + | 1.14278i | ||||
\(431\) | −4.00001 | + | 8.30611i | −0.192674 | + | 0.400091i | −0.974817 | − | 0.223008i | \(-0.928412\pi\) |
0.782143 | + | 0.623099i | \(0.214127\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.6174 | + | 24.1238i | 0.558298 | + | 1.15932i | 0.968888 | + | 0.247498i | \(0.0796083\pi\) |
−0.410590 | + | 0.911820i | \(0.634677\pi\) | |||||||
\(434\) | 6.07644 | − | 21.1990i | 0.291678 | − | 1.01759i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.05446 | + | 2.43410i | −0.242065 | + | 0.116572i | ||||
\(437\) | −3.56611 | + | 15.6242i | −0.170590 | + | 0.747405i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.4707 | + | 8.35012i | −0.499740 | + | 0.398530i | −0.840660 | − | 0.541563i | \(-0.817833\pi\) |
0.340920 | + | 0.940092i | \(0.389261\pi\) | |||||||
\(440\) | −13.1901 | −0.628812 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.40769 | 0.162087 | ||||||||
\(443\) | 10.3485 | − | 8.25263i | 0.491671 | − | 0.392094i | −0.346030 | − | 0.938223i | \(-0.612471\pi\) |
0.837701 | + | 0.546129i | \(0.183899\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 10.3524 | − | 45.3569i | 0.490751 | − | 2.15012i | ||||
\(446\) | 3.86590 | − | 1.86172i | 0.183056 | − | 0.0881550i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −23.3690 | − | 1.28081i | −1.10408 | − | 0.0605126i | ||||
\(449\) | 14.2954 | + | 29.6847i | 0.674642 | + | 1.40091i | 0.903986 | + | 0.427562i | \(0.140628\pi\) |
−0.229344 | + | 0.973345i | \(0.573658\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.16339 | + | 6.56884i | −0.148958 | + | 0.309315i | ||||
\(452\) | −8.38129 | + | 6.68385i | −0.394223 | + | 0.314382i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −14.2042 | + | 11.3274i | −0.666634 | + | 0.531623i | ||||
\(455\) | −56.2721 | + | 9.63899i | −2.63808 | + | 0.451883i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 18.7239 | + | 9.01697i | 0.875869 | + | 0.421796i | 0.817114 | − | 0.576476i | \(-0.195573\pi\) |
0.0587548 | + | 0.998272i | \(0.481287\pi\) | |||||||
\(458\) | −2.99775 | − | 13.1340i | −0.140076 | − | 0.613712i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 3.71031i | − | 0.172994i | ||||||
\(461\) | −6.40585 | − | 28.0659i | −0.298350 | − | 1.30716i | −0.872583 | − | 0.488465i | \(-0.837557\pi\) |
0.574233 | − | 0.818692i | \(-0.305300\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.43641 | − | 6.29331i | 0.0667554 | − | 0.292475i | −0.930520 | − | 0.366241i | \(-0.880645\pi\) |
0.997276 | + | 0.0737660i | \(0.0235018\pi\) | |||||||
\(464\) | 18.2022 | + | 4.15453i | 0.845014 | + | 0.192869i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 5.69973 | − | 7.14724i | 0.264035 | − | 0.331090i | ||||
\(467\) | 4.54647 | − | 19.9194i | 0.210385 | − | 0.921759i | −0.753920 | − | 0.656966i | \(-0.771839\pi\) |
0.964305 | − | 0.264793i | \(-0.0853035\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.17213 | + | 3.05261i | 0.100300 | + | 0.140956i | ||||
\(470\) | −6.12171 | + | 1.39724i | −0.282374 | + | 0.0644499i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 23.2670i | 1.07095i | ||||||||
\(473\) | 10.7120 | − | 2.44494i | 0.492537 | − | 0.112418i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −45.7329 | − | 36.4707i | −2.09837 | − | 1.67339i | ||||
\(476\) | 0.372195 | + | 0.523065i | 0.0170595 | + | 0.0239747i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.711873 | − | 3.11892i | −0.0325603 | − | 0.142656i | ||||
\(479\) | −10.7585 | − | 13.4908i | −0.491570 | − | 0.616409i | 0.472735 | − | 0.881205i | \(-0.343267\pi\) |
−0.964305 | + | 0.264796i | \(0.914696\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.91252 | − | 3.91760i | −0.223992 | − | 0.178627i | ||||
\(482\) | −5.49933 | + | 2.64834i | −0.250488 | + | 0.120628i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.54606 | − | 2.18927i | −0.206639 | − | 0.0995121i | ||||
\(485\) | 18.2097 | + | 37.8129i | 0.826862 | + | 1.71700i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.7080 | + | 5.63827i | −0.530540 | + | 0.255495i | −0.679921 | − | 0.733285i | \(-0.737986\pi\) |
0.149381 | + | 0.988780i | \(0.452272\pi\) | |||||||
\(488\) | −12.3247 | − | 15.4547i | −0.557915 | − | 0.699603i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 21.0703 | + | 20.9571i | 0.951858 | + | 0.946744i | ||||
\(491\) | 23.6167i | 1.06581i | 0.846176 | + | 0.532903i | \(0.178899\pi\) | ||||
−0.846176 | + | 0.532903i | \(0.821101\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.39318 | − | 2.89298i | −0.0627459 | − | 0.130293i | ||||
\(494\) | 58.5245 | + | 13.3578i | 2.63314 | + | 0.600998i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 7.92209 | − | 16.4504i | 0.355713 | − | 0.738645i | ||||
\(497\) | −14.5983 | − | 35.1095i | −0.654822 | − | 1.57488i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.765079 | + | 0.959378i | −0.0342496 | + | 0.0429477i | −0.798661 | − | 0.601781i | \(-0.794458\pi\) |
0.764412 | + | 0.644728i | \(0.223030\pi\) | |||||||
\(500\) | 3.81362 | + | 1.83654i | 0.170550 | + | 0.0821327i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2.65182 | + | 0.605262i | −0.118357 | + | 0.0270142i | ||||
\(503\) | −0.0680914 | − | 0.0853839i | −0.00303605 | − | 0.00380708i | 0.780311 | − | 0.625391i | \(-0.215061\pi\) |
−0.783347 | + | 0.621584i | \(0.786489\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 16.7020 | − | 20.9437i | 0.743230 | − | 0.931982i | ||||
\(506\) | 1.28590 | − | 2.67019i | 0.0571650 | − | 0.118704i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.53332 | 0.112398 | ||||||||
\(509\) | −19.6325 | −0.870194 | −0.435097 | − | 0.900384i | \(-0.643286\pi\) | ||||
−0.435097 | + | 0.900384i | \(0.643286\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.228178 | − | 4.16322i | 0.0100940 | − | 0.184170i | ||||
\(512\) | −23.4318 | − | 5.34815i | −1.03555 | − | 0.236357i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 7.52009 | + | 5.99707i | 0.331697 | + | 0.264520i | ||||
\(515\) | 32.5150 | + | 25.9298i | 1.43278 | + | 1.14260i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.76972 | + | 0.403927i | 0.0778321 | + | 0.0177647i | ||||
\(518\) | −0.178991 | + | 3.26577i | −0.00786440 | + | 0.143490i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −66.1970 | −2.90293 | ||||||||
\(521\) | −34.5444 | −1.51342 | −0.756709 | − | 0.653752i | \(-0.773194\pi\) | ||||
−0.756709 | + | 0.653752i | \(0.773194\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.36808 | + | 2.84085i | −0.0598219 | + | 0.124222i | −0.928736 | − | 0.370741i | \(-0.879104\pi\) |
0.868914 | + | 0.494962i | \(0.164818\pi\) | |||||||
\(524\) | −3.98858 | + | 5.00152i | −0.174242 | + | 0.218492i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −15.6160 | − | 19.5818i | −0.680889 | − | 0.853808i | ||||
\(527\) | −3.06143 | + | 0.698751i | −0.133358 | + | 0.0304381i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.1447 | − | 8.25645i | −0.745421 | − | 0.358976i | ||||
\(530\) | −19.4001 | + | 24.3270i | −0.842687 | + | 1.05670i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 4.34180 | + | 10.4422i | 0.188241 | + | 0.452728i | ||||
\(533\) | −15.8761 | + | 32.9670i | −0.687670 | + | 1.42796i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −22.2276 | − | 5.07330i | −0.960981 | − | 0.219338i | ||||
\(536\) | 1.88482 | + | 3.91386i | 0.0814117 | + | 0.169053i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 10.2454i | − | 0.441709i | ||||||
\(539\) | −2.85929 | − | 8.10134i | −0.123159 | − | 0.348950i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.55764 | − | 6.96905i | −0.238941 | − | 0.299623i | 0.647873 | − | 0.761748i | \(-0.275659\pi\) |
−0.886815 | + | 0.462125i | \(0.847087\pi\) | |||||||
\(542\) | −10.0181 | + | 4.82448i | −0.430316 | + | 0.207229i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.578122 | + | 1.20048i | 0.0247868 | + | 0.0514703i | ||||
\(545\) | 33.3171 | + | 16.0447i | 1.42715 | + | 0.687279i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.85815 | − | 3.78428i | 0.335990 | − | 0.161804i | −0.258279 | − | 0.966070i | \(-0.583156\pi\) |
0.594270 | + | 0.804266i | \(0.297441\pi\) | |||||||
\(548\) | −5.60042 | − | 4.46619i | −0.239238 | − | 0.190786i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 6.74455 | + | 8.45740i | 0.287588 | + | 0.360625i | ||||
\(551\) | −12.5867 | − | 55.1459i | −0.536211 | − | 2.34929i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −10.1107 | − | 14.2091i | −0.429951 | − | 0.604234i | ||||
\(554\) | −8.36258 | − | 6.66894i | −0.355292 | − | 0.283336i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.63909 | + | 0.374111i | −0.0695129 | + | 0.0158659i | ||||
\(557\) | − | 37.9448i | − | 1.60777i | −0.594783 | − | 0.803886i | \(-0.702762\pi\) | ||
0.594783 | − | 0.803886i | \(-0.297238\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 53.7601 | − | 12.2704i | 2.27381 | − | 0.518983i | ||||
\(560\) | 14.2652 | + | 20.0477i | 0.602815 | + | 0.847169i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 4.97284 | − | 21.7874i | 0.209767 | − | 0.919048i | ||||
\(563\) | −19.0788 | + | 23.9240i | −0.804075 | + | 1.00828i | 0.195544 | + | 0.980695i | \(0.437353\pi\) |
−0.999620 | + | 0.0275835i | \(0.991219\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 68.8910 | + | 15.7239i | 2.89827 | + | 0.661510i | ||||
\(566\) | 1.06358 | − | 4.65985i | 0.0447056 | − | 0.195868i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.81045 | − | 42.9824i | −0.411637 | − | 1.80350i | ||||
\(569\) | 6.76360i | 0.283545i | 0.989899 | + | 0.141772i | \(0.0452801\pi\) | ||||
−0.989899 | + | 0.141772i | \(0.954720\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.05357 | + | 13.3785i | 0.127788 | + | 0.559875i | 0.997767 | + | 0.0667868i | \(0.0212747\pi\) |
−0.869980 | + | 0.493088i | \(0.835868\pi\) | |||||||
\(572\) | 3.61987 | + | 1.74324i | 0.151354 | + | 0.0728884i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 18.7731 | − | 3.21569i | 0.783575 | − | 0.134221i | ||||
\(575\) | −11.3315 | + | 9.03654i | −0.472555 | + | 0.376850i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −7.51312 | + | 5.99151i | −0.312775 | + | 0.249430i | −0.767277 | − | 0.641316i | \(-0.778389\pi\) |
0.454502 | + | 0.890746i | \(0.349817\pi\) | |||||||
\(578\) | 8.82886 | − | 18.3333i | 0.367232 | − | 0.762565i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 5.68199 | + | 11.7988i | 0.235932 | + | 0.489917i | ||||
\(581\) | 13.7296 | + | 0.752492i | 0.569599 | + | 0.0312186i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.10430 | − | 3.90283i | 0.335646 | − | 0.161639i | ||||
\(584\) | 1.07576 | − | 4.71323i | 0.0445154 | − | 0.195035i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.571074 | − | 0.455416i | 0.0235909 | − | 0.0188131i | ||||
\(587\) | 40.3617 | 1.66591 | 0.832953 | − | 0.553343i | \(-0.186648\pi\) | ||||
0.832953 | + | 0.553343i | \(0.186648\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −55.3168 | −2.27929 | ||||||||
\(590\) | 25.1744 | − | 20.0759i | 1.03642 | − | 0.826514i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.602577 | + | 2.64006i | −0.0247657 | + | 0.108506i | ||||
\(593\) | 24.5780 | − | 11.8361i | 1.00930 | − | 0.486052i | 0.145214 | − | 0.989400i | \(-0.453613\pi\) |
0.864083 | + | 0.503349i | \(0.167899\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.16599 | − | 4.06782i | 0.0478009 | − | 0.166764i | ||||
\(596\) | 1.32147 | + | 2.74406i | 0.0541294 | + | 0.112401i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 6.45352 | − | 13.4009i | 0.263904 | − | 0.548002i | ||||
\(599\) | −19.4803 | + | 15.5350i | −0.795945 | + | 0.634745i | −0.934642 | − | 0.355590i | \(-0.884280\pi\) |
0.138697 | + | 0.990335i | \(0.455709\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 21.3996 | − | 17.0656i | 0.872908 | − | 0.696121i | −0.0808401 | − | 0.996727i | \(-0.525760\pi\) |
0.953748 | + | 0.300606i | \(0.0971889\pi\) | |||||||
\(602\) | −21.4282 | − | 19.0976i | −0.873349 | − | 0.778360i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.40142 | − | 1.63804i | −0.138402 | − | 0.0666507i | ||||
\(605\) | 7.40097 | + | 32.4258i | 0.300892 | + | 1.31829i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 45.4228i | 1.84365i | 0.387601 | + | 0.921827i | \(0.373304\pi\) | ||||
−0.387601 | + | 0.921827i | \(0.626696\pi\) | |||||||
\(608\) | 5.22303 | + | 22.8836i | 0.211822 | + | 0.928052i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −6.08731 | + | 26.6703i | −0.246468 | + | 1.07985i | ||||
\(611\) | 8.88168 | + | 2.02719i | 0.359314 | + | 0.0820112i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −25.1836 | + | 31.5792i | −1.01716 | + | 1.27547i | −0.0563031 | + | 0.998414i | \(0.517931\pi\) |
−0.960853 | + | 0.277059i | \(0.910640\pi\) | |||||||
\(614\) | −0.981849 | + | 4.30176i | −0.0396242 | + | 0.173605i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.68180 | − | 9.81828i | −0.0677616 | − | 0.395590i | ||||
\(617\) | 7.28753 | − | 1.66333i | 0.293385 | − | 0.0669632i | −0.0732951 | − | 0.997310i | \(-0.523351\pi\) |
0.366680 | + | 0.930347i | \(0.380494\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 7.04484i | − | 0.283156i | −0.989927 | − | 0.141578i | \(-0.954782\pi\) | ||
0.989927 | − | 0.141578i | \(-0.0452176\pi\) | |||||||
\(620\) | 12.4858 | − | 2.84980i | 0.501441 | − | 0.114451i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 31.1381 | + | 24.8318i | 1.24852 | + | 0.995664i | ||||
\(623\) | 35.0823 | + | 1.92279i | 1.40554 | + | 0.0770351i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.88375 | + | 8.25327i | 0.0753502 | + | 0.330131i | ||||
\(626\) | 3.75643 | + | 4.71041i | 0.150137 | + | 0.188266i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.16480 | − | 3.32132i | −0.166194 | − | 0.132535i | ||||
\(629\) | 0.419600 | − | 0.202069i | 0.0167306 | − | 0.00805701i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 29.1127 | + | 14.0199i | 1.15896 | + | 0.558125i | 0.911713 | − | 0.410828i | \(-0.134760\pi\) |
0.247245 | + | 0.968953i | \(0.420475\pi\) | |||||||
\(632\) | −8.77335 | − | 18.2181i | −0.348985 | − | 0.724675i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.74983 | + | 2.76897i | −0.228355 | + | 0.109970i | ||||
\(635\) | −10.4115 | − | 13.0555i | −0.413166 | − | 0.518094i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −14.3499 | − | 40.6582i | −0.568565 | − | 1.61094i | ||||
\(638\) | 10.4604i | 0.414132i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 7.42169 | + | 15.4113i | 0.293368 | + | 0.609185i | ||||
\(641\) | 18.0881 | + | 4.12849i | 0.714437 | + | 0.163066i | 0.564264 | − | 0.825594i | \(-0.309160\pi\) |
0.150173 | + | 0.988660i | \(0.452017\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 20.8180 | − | 43.2289i | 0.820980 | − | 1.70478i | 0.118644 | − | 0.992937i | \(-0.462145\pi\) |
0.702336 | − | 0.711845i | \(-0.252140\pi\) | |||||||
\(644\) | 2.76184 | − | 0.473083i | 0.108832 | − | 0.0186421i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.77415 | + | 3.47867i | −0.109147 | + | 0.136867i | ||||
\(647\) | 11.5543 | + | 5.56424i | 0.454245 | + | 0.218753i | 0.646994 | − | 0.762495i | \(-0.276026\pi\) |
−0.192749 | + | 0.981248i | \(0.561740\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −9.07508 | + | 2.07133i | −0.356228 | + | 0.0813067i | ||||
\(650\) | 33.8488 | + | 42.4451i | 1.32766 | + | 1.66483i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.77915 | − | 3.48495i | 0.108840 | − | 0.136481i | ||||
\(653\) | −12.3764 | + | 25.6998i | −0.484326 | + | 1.00571i | 0.505420 | + | 0.862873i | \(0.331337\pi\) |
−0.989746 | + | 0.142839i | \(0.954377\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 42.1678 | 1.64763 | ||||||||
\(656\) | 15.7696 | 0.615699 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.82061 | − | 4.37866i | −0.0709749 | − | 0.170698i | ||||
\(659\) | 9.05005 | + | 2.06562i | 0.352540 | + | 0.0804650i | 0.395124 | − | 0.918628i | \(-0.370702\pi\) |
−0.0425836 | + | 0.999093i | \(0.513559\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 19.7343 | + | 15.7376i | 0.767574 | + | 0.612120i | 0.926988 | − | 0.375092i | \(-0.122389\pi\) |
−0.159413 | + | 0.987212i | \(0.550960\pi\) | |||||||
\(662\) | 28.9704 | + | 23.1031i | 1.12597 | + | 0.897928i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 15.5434 | + | 3.54768i | 0.603201 | + | 0.137677i | ||||
\(665\) | 35.9705 | − | 65.2912i | 1.39488 | − | 2.53188i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −14.0152 | −0.542669 | ||||||||
\(668\) | 4.86378 | 0.188185 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.60841 | − | 5.41641i | 0.100772 | − | 0.209254i | ||||
\(671\) | 4.93078 | − | 6.18300i | 0.190350 | − | 0.238692i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 16.1270 | + | 20.2226i | 0.621650 | + | 0.779525i | 0.988576 | − | 0.150726i | \(-0.0481610\pi\) |
−0.366926 | + | 0.930250i | \(0.619590\pi\) | |||||||
\(674\) | 32.0079 | − | 7.30560i | 1.23290 | − | 0.281401i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 11.9420 | + | 5.75096i | 0.459307 | + | 0.221191i | ||||
\(677\) | −4.15405 | + | 5.20902i | −0.159653 | + | 0.200199i | −0.855224 | − | 0.518259i | \(-0.826580\pi\) |
0.695570 | + | 0.718458i | \(0.255152\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −25.8249 | + | 18.3761i | −0.991070 | + | 0.705210i | ||||
\(680\) | 2.12886 | − | 4.42062i | 0.0816379 | − | 0.169523i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 9.97327 | + | 2.27633i | 0.381896 | + | 0.0871653i | ||||
\(683\) | −10.2335 | − | 21.2501i | −0.391574 | − | 0.813111i | −0.999813 | − | 0.0193570i | \(-0.993838\pi\) |
0.608239 | − | 0.793754i | \(-0.291876\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 47.2172i | 1.80408i | ||||||||
\(686\) | −12.9132 | + | 18.3562i | −0.493030 | + | 0.700843i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −14.8172 | − | 18.5802i | −0.564902 | − | 0.708365i | ||||
\(689\) | 40.6730 | − | 19.5871i | 1.54952 | − | 0.746209i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −14.9765 | − | 31.0991i | −0.569735 | − | 1.18307i | −0.964451 | − | 0.264263i | \(-0.914871\pi\) |
0.394716 | − | 0.918803i | \(-0.370843\pi\) | |||||||
\(692\) | 0.154289 | + | 0.0743019i | 0.00586520 | + | 0.00282453i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −13.1968 | + | 6.35523i | −0.500943 | + | 0.241241i | ||||
\(695\) | 8.66434 | + | 6.90958i | 0.328657 | + | 0.262095i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.69096 | − | 2.12040i | −0.0640498 | − | 0.0803160i | ||||
\(698\) | −6.44861 | − | 28.2532i | −0.244083 | − | 1.06940i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.81810 | + | 9.83159i | −0.106514 | + | 0.371599i | ||||
\(701\) | 11.8358 | + | 9.43876i | 0.447033 | + | 0.356497i | 0.820984 | − | 0.570952i | \(-0.193426\pi\) |
−0.373951 | + | 0.927449i | \(0.621997\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.99842 | − | 1.82559i | 0.301666 | − | 0.0688533i | ||||
\(704\) | − | 10.8566i | − | 0.409174i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −15.2560 | + | 3.48209i | −0.574168 | + | 0.131050i | ||||
\(707\) | 17.7194 | + | 9.76206i | 0.666408 | + | 0.367140i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.11533 | − | 4.88659i | 0.0418872 | − | 0.183520i | −0.949656 | − | 0.313293i | \(-0.898568\pi\) |
0.991544 | + | 0.129773i | \(0.0414249\pi\) | |||||||
\(710\) | −38.0411 | + | 47.7021i | −1.42766 | + | 1.79023i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 39.7170 | + | 9.06515i | 1.48846 | + | 0.339731i | ||||
\(713\) | −3.04990 | + | 13.3625i | −0.114220 | + | 0.500429i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.89313 | − | 25.8195i | −0.220391 | − | 0.965595i | ||||
\(716\) | − | 4.21129i | − | 0.157383i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −7.13067 | − | 31.2415i | −0.266114 | − | 1.16592i | ||||
\(719\) | −0.983816 | − | 0.473781i | −0.0366902 | − | 0.0176690i | 0.415449 | − | 0.909617i | \(-0.363625\pi\) |
−0.452139 | + | 0.891948i | \(0.649339\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −15.1555 | + | 27.5093i | −0.564422 | + | 1.02450i | ||||
\(722\) | −43.2787 | + | 34.5136i | −1.61066 | + | 1.28446i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 9.19734 | − | 7.33464i | 0.341817 | − | 0.272590i | ||||
\(725\) | 22.1954 | − | 46.0892i | 0.824316 | − | 1.71171i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.203786 | + | 0.423166i | 0.00755800 | + | 0.0156943i | 0.904714 | − | 0.426020i | \(-0.140085\pi\) |
−0.897156 | + | 0.441714i | \(0.854370\pi\) | |||||||
\(728\) | −8.44044 | − | 49.2750i | −0.312823 | − | 1.82625i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −6.02784 | + | 2.90285i | −0.223100 | + | 0.107439i | ||||
\(731\) | −0.909481 | + | 3.98470i | −0.0336384 | + | 0.147379i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 18.9851 | − | 15.1401i | 0.701231 | − | 0.559213i | −0.206663 | − | 0.978412i | \(-0.566261\pi\) |
0.907894 | + | 0.419199i | \(0.137689\pi\) | |||||||
\(734\) | 2.07094 | 0.0764398 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.81580 | 0.214373 | ||||||||
\(737\) | −1.35877 | + | 1.08358i | −0.0500510 | + | 0.0399143i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 3.50584 | − | 15.3601i | 0.128964 | − | 0.565030i | −0.868615 | − | 0.495488i | \(-0.834989\pi\) |
0.997579 | − | 0.0695415i | \(-0.0221536\pi\) | |||||||
\(740\) | −1.71130 | + | 0.824121i | −0.0629088 | + | 0.0302953i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −20.5819 | − | 11.3390i | −0.755584 | − | 0.416269i | ||||
\(743\) | 12.0733 | + | 25.0705i | 0.442928 | + | 0.919749i | 0.996229 | + | 0.0867673i | \(0.0276537\pi\) |
−0.553301 | + | 0.832981i | \(0.686632\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.71062 | − | 18.0878i | 0.319132 | − | 0.662685i | ||||
\(746\) | −10.4698 | + | 8.34939i | −0.383327 | + | 0.305693i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.232826 | + | 0.185672i | −0.00851295 | + | 0.00678885i | ||||
\(749\) | 0.942283 | − | 17.1924i | 0.0344303 | − | 0.628196i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −30.9414 | − | 14.9006i | −1.12907 | − | 0.543730i | −0.226384 | − | 0.974038i | \(-0.572691\pi\) |
−0.902682 | + | 0.430308i | \(0.858405\pi\) | |||||||
\(752\) | −0.873663 | − | 3.82777i | −0.0318592 | − | 0.139584i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 52.4976i | 1.91185i | ||||||||
\(755\) | 5.53750 | + | 24.2614i | 0.201530 | + | 0.882961i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.15791 | + | 13.8357i | −0.114776 | + | 0.502867i | 0.884560 | + | 0.466427i | \(0.154459\pi\) |
−0.999336 | + | 0.0364402i | \(0.988398\pi\) | |||||||
\(758\) | −10.8626 | − | 2.47932i | −0.394548 | − | 0.0900531i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 53.8900 | − | 67.5759i | 1.95479 | − | 2.45123i | ||||
\(761\) | −4.34948 | + | 19.0563i | −0.157669 | + | 0.690792i | 0.832860 | + | 0.553484i | \(0.186702\pi\) |
−0.990528 | + | 0.137308i | \(0.956155\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −7.69507 | + | 26.8460i | −0.278580 | + | 0.971891i | ||||
\(764\) | −12.0575 | + | 2.75205i | −0.436225 | + | 0.0995655i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 2.97027i | − | 0.107320i | ||||||
\(767\) | −45.5451 | + | 10.3954i | −1.64454 | + | 0.375355i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −14.6692 | − | 11.6983i | −0.528984 | − | 0.421851i | 0.322236 | − | 0.946659i | \(-0.395565\pi\) |
−0.851220 | + | 0.524809i | \(0.824137\pi\) | |||||||
\(770\) | −9.17204 | + | 10.2914i | −0.330538 | + | 0.370876i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.408222 | − | 1.78854i | −0.0146922 | − | 0.0643709i | ||||
\(773\) | −29.4407 | − | 36.9175i | −1.05891 | − | 1.32783i | −0.942344 | − | 0.334645i | \(-0.891383\pi\) |
−0.116564 | − | 0.993183i | \(-0.537188\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −39.1128 | − | 31.1914i | −1.40497 | − | 1.12043i | ||||
\(776\) | −33.1111 | + | 15.9455i | −1.18862 | + | 0.572409i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 29.3617 | + | 14.1398i | 1.05267 | + | 0.506938i | ||||
\(779\) | −20.7293 | − | 43.0448i | −0.742703 | − | 1.54224i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 15.8915 | − | 7.65295i | 0.568643 | − | 0.273844i | ||||
\(782\) | 0.687365 | + | 0.861929i | 0.0245801 | + | 0.0308225i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −13.1040 | + | 13.1748i | −0.467999 | + | 0.470527i | ||||
\(785\) | 35.1135i | 1.25325i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −20.5290 | − | 42.6290i | −0.731781 | − | 1.51956i | −0.850122 | − | 0.526585i | \(-0.823472\pi\) |
0.118342 | − | 0.992973i | \(-0.462242\pi\) | |||||||
\(788\) | 1.43717 | + | 0.328025i | 0.0511971 | + | 0.0116854i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −12.1415 | + | 25.2120i | −0.431975 | + | 0.897004i | ||||
\(791\) | −2.92046 | + | 53.2852i | −0.103840 | + | 1.89460i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 24.7461 | − | 31.0306i | 0.878759 | − | 1.10193i | ||||
\(794\) | 13.9271 | + | 6.70693i | 0.494254 | + | 0.238020i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.37226 | − | 0.313209i | 0.0486384 | − | 0.0111014i | ||||
\(797\) | −3.45337 | − | 4.33039i | −0.122325 | − | 0.153390i | 0.716898 | − | 0.697178i | \(-0.245561\pi\) |
−0.839223 | + | 0.543787i | \(0.816990\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.421005 | + | 0.527923i | −0.0148941 | + | 0.0186766i | ||||
\(800\) | −9.21030 | + | 19.1254i | −0.325633 | + | 0.676185i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −43.7041 | −1.54324 | ||||||||
\(803\) | 1.93412 | 0.0682535 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −13.7887 | − | 12.2890i | −0.485987 | − | 0.433129i | ||||
\(806\) | 50.0528 | + | 11.4242i | 1.76303 | + | 0.402401i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 18.3395 | + | 14.6252i | 0.645180 | + | 0.514514i | ||||
\(809\) | 10.1043 | + | 8.05787i | 0.355247 | + | 0.283300i | 0.784809 | − | 0.619737i | \(-0.212761\pi\) |
−0.429563 | + | 0.903037i | \(0.641332\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 48.0052 | + | 10.9569i | 1.68569 | + | 0.384748i | 0.954684 | − | 0.297623i | \(-0.0961937\pi\) |
0.731007 | + | 0.682370i | \(0.239051\pi\) | |||||||
\(812\) | −8.05816 | + | 5.73390i | −0.282786 | + | 0.201220i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.51719 | −0.0531775 | ||||||||
\(815\) | −29.3816 | −1.02919 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −31.2393 | + | 64.8691i | −1.09293 | + | 2.26948i | ||||
\(818\) | 19.7686 | − | 24.7891i | 0.691195 | − | 0.866731i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 6.89646 | + | 8.64788i | 0.240835 | + | 0.301997i | ||||
\(821\) | 28.7907 | − | 6.57129i | 1.00480 | − | 0.229340i | 0.311701 | − | 0.950180i | \(-0.399101\pi\) |
0.693101 | + | 0.720841i | \(0.256244\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −24.8559 | − | 11.9700i | −0.866422 | − | 0.417247i | −0.0527754 | − | 0.998606i | \(-0.516807\pi\) |
−0.813647 | + | 0.581359i | \(0.802521\pi\) | |||||||
\(824\) | −22.7056 | + | 28.4719i | −0.790987 | + | 0.991867i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 18.1538 | + | 16.1793i | 0.631651 | + | 0.562950i | ||||
\(827\) | 14.5476 | − | 30.2085i | 0.505871 | − | 1.05045i | −0.479105 | − | 0.877758i | \(-0.659039\pi\) |
0.984976 | − | 0.172694i | \(-0.0552472\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −3.86996 | − | 0.883292i | −0.134409 | − | 0.0306780i | 0.154787 | − | 0.987948i | \(-0.450531\pi\) |
−0.289196 | + | 0.957270i | \(0.593388\pi\) | |||||||
\(830\) | −9.57312 | − | 19.8788i | −0.332288 | − | 0.690003i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 54.4860i | − | 1.88896i | ||||||
\(833\) | 3.17663 | + | 0.349259i | 0.110064 | + | 0.0121011i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −19.9892 | − | 25.0657i | −0.691755 | − | 0.867434i | ||||
\(836\) | −4.72643 | + | 2.27613i | −0.163467 | + | 0.0787215i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −13.2102 | − | 27.4314i | −0.456340 | − | 0.947601i | ||||
\(839\) | −31.3761 | − | 15.1099i | −1.08322 | − | 0.521653i | −0.194878 | − | 0.980827i | \(-0.562431\pi\) |
−0.888346 | + | 0.459174i | \(0.848145\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 18.4401 | − | 8.88026i | 0.635864 | − | 0.306216i | ||||
\(842\) | 36.2019 | + | 28.8701i | 1.24760 | + | 0.994928i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.48349 | − | 1.86024i | −0.0510639 | − | 0.0640321i | ||||
\(845\) | −19.4415 | − | 85.1788i | −0.668808 | − | 2.93024i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −23.1931 | + | 9.64350i | −0.796924 | + | 0.331354i | ||||
\(848\) | −15.2111 | − | 12.1304i | −0.522351 | − | 0.416561i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −3.92303 | + | 0.895407i | −0.134559 | + | 0.0307122i | ||||
\(851\) | − | 2.03277i | − | 0.0696826i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −26.7011 | + | 6.09436i | −0.914230 | + | 0.208667i | −0.653660 | − | 0.756788i | \(-0.726767\pi\) |
−0.260570 | + | 0.965455i | \(0.583910\pi\) | |||||||
\(854\) | −20.6287 | − | 1.13062i | −0.705899 | − | 0.0386890i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.44246 | − | 19.4637i | 0.151840 | − | 0.665256i | ||||
\(857\) | −21.1265 | + | 26.4918i | −0.721667 | + | 0.904941i | −0.998431 | − | 0.0559966i | \(-0.982166\pi\) |
0.276764 | + | 0.960938i | \(0.410738\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 16.9809 | + | 3.87577i | 0.579379 | + | 0.132240i | 0.502160 | − | 0.864775i | \(-0.332539\pi\) |
0.0772191 | + | 0.997014i | \(0.475396\pi\) | |||||||
\(860\) | 3.70924 | − | 16.2513i | 0.126484 | − | 0.554163i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.48598 | + | 10.8918i | 0.0846730 | + | 0.370977i | ||||
\(863\) | 7.83227i | 0.266614i | 0.991075 | + | 0.133307i | \(0.0425596\pi\) | ||||
−0.991075 | + | 0.133307i | \(0.957440\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.251183 | − | 1.10050i | −0.00854047 | − | 0.0374182i | ||||
\(866\) | 29.2339 | + | 14.0783i | 0.993407 | + | 0.478399i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.71330 | + | 8.93066i | 0.126038 | + | 0.303126i | ||||
\(869\) | 6.32474 | − | 5.04381i | 0.214552 | − | 0.171100i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.81926 | + | 5.43818i | −0.231062 | + | 0.184266i | ||||
\(872\) | −14.0496 | + | 29.1744i | −0.475780 | + | 0.987968i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 8.42630 | + | 17.4974i | 0.285024 | + | 0.591858i | ||||
\(875\) | 19.4563 | − | 8.08979i | 0.657744 | − | 0.273485i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −15.3566 | + | 7.39537i | −0.518557 | + | 0.249724i | −0.674808 | − | 0.737994i | \(-0.735773\pi\) |
0.156251 | + | 0.987717i | \(0.450059\pi\) | |||||||
\(878\) | −3.61139 | + | 15.8225i | −0.121878 | + | 0.533984i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.92357 | + | 7.11631i | −0.300814 | + | 0.239891i | ||||
\(881\) | 19.0578 | 0.642072 | 0.321036 | − | 0.947067i | \(-0.395969\pi\) | ||||
0.321036 | + | 0.947067i | \(0.395969\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −29.0746 | −0.978438 | −0.489219 | − | 0.872161i | \(-0.662718\pi\) | ||||
−0.489219 | + | 0.872161i | \(0.662718\pi\) | |||||||
\(884\) | −1.16848 | + | 0.931833i | −0.0393003 | + | 0.0313409i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 3.56922 | − | 15.6378i | 0.119910 | − | 0.525361i | ||||
\(887\) | 3.47402 | − | 1.67300i | 0.116646 | − | 0.0561739i | −0.374651 | − | 0.927166i | \(-0.622237\pi\) |
0.491297 | + | 0.870992i | \(0.336523\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 8.39064 | − | 9.41461i | 0.281413 | − | 0.315756i | ||||
\(890\) | −24.4615 | − | 50.7949i | −0.819952 | − | 1.70265i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −0.816513 | + | 1.69551i | −0.0273389 | + | 0.0567697i | ||||
\(893\) | −9.29986 | + | 7.41639i | −0.311208 | + | 0.248180i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −21.7031 | + | 17.3076i | −0.725454 | + | 0.578530i | ||||
\(896\) | −10.5254 | + | 7.48949i | −0.351629 | + | 0.250206i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 35.9726 | + | 17.3235i | 1.20042 | + | 0.578093i | ||||
\(899\) | −10.7647 | − | 47.1632i | −0.359023 | − | 1.57298i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.34605i | 0.111473i | ||||||||
\(902\) | 1.96603 | + | 8.61373i | 0.0654616 | + | 0.286806i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −13.7688 | + | 60.3248i | −0.457942 | + | 2.00637i | ||||
\(905\) | −75.5987 | − | 17.2549i | −2.51298 | − | 0.573572i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 33.4297 | − | 41.9196i | 1.11002 | − | 1.39192i | 0.198774 | − | 0.980045i | \(-0.436304\pi\) |
0.911242 | − | 0.411871i | \(-0.135124\pi\) | |||||||
\(908\) | 1.77305 | − | 7.76826i | 0.0588409 | − | 0.257799i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −46.0317 | + | 51.6493i | −1.52594 | + | 1.71216i | ||||
\(911\) | −7.59821 | + | 1.73424i | −0.251740 | + | 0.0574580i | −0.346529 | − | 0.938039i | \(-0.612640\pi\) |
0.0947886 | + | 0.995497i | \(0.469782\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.37839i | 0.211094i | ||||||||
\(914\) | 24.5527 | − | 5.60400i | 0.812132 | − | 0.185364i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.61941 | + | 3.68386i | 0.152630 | + | 0.121718i | ||||
\(917\) | 5.37660 | + | 31.3884i | 0.177551 | + | 1.03654i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −6.02750 | − | 26.4082i | −0.198829 | − | 0.871127i | −0.971635 | − | 0.236485i | \(-0.924005\pi\) |
0.772806 | − | 0.634642i | \(-0.218852\pi\) | |||||||
\(920\) | −13.3526 | − | 16.7436i | −0.440222 | − | 0.552021i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −27.2746 | − | 21.7508i | −0.898241 | − | 0.716324i | ||||
\(923\) | 79.7547 | − | 38.4078i | 2.62516 | − | 1.26421i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.68483 | + | 3.21924i | 0.219796 | + | 0.105848i | ||||
\(926\) | −3.39406 | − | 7.04784i | −0.111536 | − | 0.231606i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −18.4942 | + | 8.90634i | −0.607102 | + | 0.292365i | ||||
\(929\) | 16.2963 | + | 20.4349i | 0.534664 | + | 0.670447i | 0.973650 | − | 0.228047i | \(-0.0732338\pi\) |
−0.438987 | + | 0.898494i | \(0.644662\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 53.1872 | + | 18.4504i | 1.74314 | + | 0.604687i | ||||
\(932\) | 4.00935i | 0.131331i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −10.7428 | − | 22.3076i | −0.351514 | − | 0.729927i | ||||
\(935\) | 1.91374 | + | 0.436799i | 0.0625860 | + | 0.0142848i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −11.4705 | + | 23.8187i | −0.374725 | + | 0.778124i | −0.999997 | − | 0.00228220i | \(-0.999274\pi\) |
0.625272 | + | 0.780407i | \(0.284988\pi\) | |||||||
\(938\) | 4.36439 | + | 1.25100i | 0.142503 | + | 0.0408465i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1.71703 | − | 2.15309i | 0.0560034 | − | 0.0702261i | ||||
\(941\) | −44.8904 | − | 21.6181i | −1.46338 | − | 0.704729i | −0.478523 | − | 0.878075i | \(-0.658828\pi\) |
−0.984861 | + | 0.173346i | \(0.944542\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −11.5409 | + | 2.63414i | −0.375824 | + | 0.0857794i | ||||
\(944\) | 12.5530 | + | 15.7410i | 0.408566 | + | 0.512326i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 8.30168 | − | 10.4100i | 0.269911 | − | 0.338457i | ||||
\(947\) | 18.8535 | − | 39.1498i | 0.612657 | − | 1.27220i | −0.331734 | − | 0.943373i | \(-0.607634\pi\) |
0.944392 | − | 0.328823i | \(-0.106652\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 9.70675 | 0.315095 | ||||||||
\(950\) | −70.8851 | −2.29982 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.56201 | + | 1.02101i | 0.115445 | + | 0.0330910i | ||||
\(953\) | 44.2539 | + | 10.1007i | 1.43353 | + | 0.327193i | 0.867600 | − | 0.497263i | \(-0.165662\pi\) |
0.565926 | + | 0.824456i | \(0.308519\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 63.7368 | + | 50.8284i | 2.06247 | + | 1.64477i | ||||
\(956\) | 1.09697 | + | 0.874803i | 0.0354785 | + | 0.0282931i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −20.3862 | − | 4.65301i | −0.658648 | − | 0.150332i | ||||
\(959\) | −35.1470 | + | 6.02042i | −1.13496 | + | 0.194410i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −16.3094 | −0.526109 | ||||||||
\(962\) | −7.61431 | −0.245495 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1.16151 | − | 2.41190i | 0.0374097 | − | 0.0776819i | ||||
\(965\) | −7.53959 | + | 9.45435i | −0.242708 | + | 0.304346i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −0.340770 | − | 0.427312i | −0.0109584 | − | 0.0137414i | 0.776322 | − | 0.630336i | \(-0.217083\pi\) |
−0.787280 | + | 0.616595i | \(0.788512\pi\) | |||||||
\(968\) | −28.3938 | + | 6.48070i | −0.912612 | + | 0.208298i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 45.8226 | + | 22.0670i | 1.47128 | + | 0.708529i | ||||
\(971\) | −10.2002 | + | 12.7907i | −0.327341 | + | 0.410472i | −0.918083 | − | 0.396388i | \(-0.870264\pi\) |
0.590742 | + | 0.806860i | \(0.298835\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.03854 | + | 7.33048i | −0.129469 | + | 0.235004i | ||||
\(974\) | −6.83260 | + | 14.1880i | −0.218930 | + | 0.454614i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −16.6763 | − | 3.80626i | −0.533795 | − | 0.121835i | ||||
\(977\) | −24.1115 | − | 50.0681i | −0.771396 | − | 1.60182i | −0.798357 | − | 0.602184i | \(-0.794297\pi\) |
0.0269607 | − | 0.999636i | \(-0.491417\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 16.2983i | 0.520895i | ||||||||
\(980\) | −12.9556 | − | 1.42443i | −0.413852 | − | 0.0455016i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 17.8438 | + | 22.3755i | 0.569419 | + | 0.714029i | ||||
\(983\) | −49.2295 | + | 23.7077i | −1.57018 | + | 0.756157i | −0.997954 | − | 0.0639412i | \(-0.979633\pi\) |
−0.572223 | + | 0.820098i | \(0.693919\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.21601 | − | 8.75463i | −0.134333 | − | 0.278946i | ||||
\(986\) | −3.50578 | − | 1.68829i | −0.111647 | − | 0.0537662i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −23.7205 | + | 11.4232i | −0.754650 | + | 0.363420i | ||||
\(989\) | 13.9476 | + | 11.1228i | 0.443507 | + | 0.353685i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 16.9954 | + | 21.3116i | 0.539877 | + | 0.676984i | 0.974696 | − | 0.223534i | \(-0.0717592\pi\) |
−0.434819 | + | 0.900518i | \(0.643188\pi\) | |||||||
\(992\) | 4.46697 | + | 19.5711i | 0.141826 | + | 0.621382i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −40.3584 | − | 22.2344i | −1.28009 | − | 0.705232i | ||||
\(995\) | −7.25386 | − | 5.78476i | −0.229963 | − | 0.183389i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −10.0827 | + | 2.30130i | −0.319321 | + | 0.0728830i | −0.379177 | − | 0.925324i | \(-0.623793\pi\) |
0.0598560 | + | 0.998207i | \(0.480936\pi\) | |||||||
\(998\) | 1.48702i | 0.0470707i | ||||||||
\(999\) | 0 | 0 |
(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 | 441.2.w.a.188.14 | yes | 120 | |
3.2 | odd | 2 | inner | 441.2.w.a.188.7 | ✓ | 120 | |
49.6 | odd | 14 | inner | 441.2.w.a.251.7 | yes | 120 | |
147.104 | even | 14 | inner | 441.2.w.a.251.14 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.w.a.188.7 | ✓ | 120 | 3.2 | odd | 2 | inner | |
441.2.w.a.188.14 | yes | 120 | 1.1 | even | 1 | trivial | |
441.2.w.a.251.7 | yes | 120 | 49.6 | odd | 14 | inner | |
441.2.w.a.251.14 | yes | 120 | 147.104 | even | 14 | inner |