Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(257,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.257");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.cc (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + 162 x^{7} + 270 x^{6} + 2916 x^{5} - 4374 x^{4} - 729 x^{3} + 19683 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 497.2 | ||
Root | \(-1.73189 - 0.0237018i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.497 |
Dual form | 912.2.cc.c.545.2 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(1\) | \(-1\) | \(1\) |
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 | 0 | ||||||||
\(3\) | 0.324081 | + | 1.70146i | 0.187108 | + | 0.982339i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.22841 | + | 0.392929i | 0.996575 | + | 0.175723i | 0.648067 | − | 0.761583i | \(-0.275577\pi\) |
0.348508 | + | 0.937306i | \(0.386689\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.16829 | + | 2.02354i | 0.441572 | + | 0.764826i | 0.997806 | − | 0.0661999i | \(-0.0210875\pi\) |
−0.556234 | + | 0.831026i | \(0.687754\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.78994 | + | 1.10282i | −0.929981 | + | 0.367608i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.52163 | − | 1.45586i | −0.760299 | − | 0.438959i | 0.0691039 | − | 0.997609i | \(-0.477986\pi\) |
−0.829403 | + | 0.558650i | \(0.811319\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.451929 | + | 1.24167i | −0.125343 | + | 0.344376i | −0.986453 | − | 0.164041i | \(-0.947547\pi\) |
0.861111 | + | 0.508417i | \(0.169769\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.0536321 | + | 3.91889i | 0.0138478 | + | 1.01185i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.72112 | + | 4.43466i | −0.902504 | + | 1.07556i | 0.0942898 | + | 0.995545i | \(0.469942\pi\) |
−0.996793 | + | 0.0800172i | \(0.974502\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.79800 | + | 3.97079i | 0.412489 | + | 0.910962i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.06435 | + | 2.64359i | −0.668697 | + | 0.576879i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 8.06194 | − | 1.42154i | 1.68103 | − | 0.296411i | 0.750023 | − | 0.661412i | \(-0.230042\pi\) |
0.931007 | + | 0.365001i | \(0.118931\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.112953 | + | 0.0411116i | 0.0225906 | + | 0.00822231i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.78058 | − | 4.38958i | −0.535123 | − | 0.844774i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.64718 | − | 1.38215i | 0.305875 | − | 0.256659i | −0.476910 | − | 0.878952i | \(-0.658243\pi\) |
0.782784 | + | 0.622293i | \(0.213799\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.27928 | + | 3.04799i | −0.948186 | + | 0.547436i | −0.892517 | − | 0.451014i | \(-0.851063\pi\) |
−0.0556692 | + | 0.998449i | \(0.517729\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.65988 | − | 4.76227i | 0.288948 | − | 0.829005i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.80832 | + | 4.96833i | 0.305662 | + | 0.839801i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.98954i | 0.491477i | 0.969336 | + | 0.245738i | \(0.0790304\pi\) | ||||
−0.969336 | + | 0.245738i | \(0.920970\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.25911 | − | 0.366540i | −0.361747 | − | 0.0586934i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.52555 | − | 3.10304i | 1.33147 | − | 0.484614i | 0.424352 | − | 0.905497i | \(-0.360502\pi\) |
0.907115 | + | 0.420883i | \(0.138280\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.0666074 | − | 0.377749i | 0.0101575 | − | 0.0576062i | −0.979308 | − | 0.202377i | \(-0.935133\pi\) |
0.989465 | + | 0.144771i | \(0.0462445\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −6.65047 | + | 1.36129i | −0.991393 | + | 0.202929i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −6.57494 | − | 7.83571i | −0.959054 | − | 1.14296i | −0.989661 | − | 0.143424i | \(-0.954189\pi\) |
0.0306076 | − | 0.999531i | \(-0.490256\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.770194 | − | 1.33401i | 0.110028 | − | 0.190574i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −8.75134 | − | 4.89415i | −1.22543 | − | 0.685318i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.494197 | − | 2.80273i | −0.0678832 | − | 0.384985i | −0.999754 | − | 0.0221937i | \(-0.992935\pi\) |
0.931870 | − | 0.362791i | \(-0.118176\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.04717 | − | 4.23508i | −0.680560 | − | 0.571058i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −6.17345 | + | 4.34609i | −0.817694 | + | 0.575653i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.53779 | + | 2.12946i | 0.330392 | + | 0.277232i | 0.792860 | − | 0.609404i | \(-0.208591\pi\) |
−0.462468 | + | 0.886636i | \(0.653036\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.01879 | + | 5.77787i | 0.130443 | + | 0.739780i | 0.977925 | + | 0.208956i | \(0.0670064\pi\) |
−0.847482 | + | 0.530824i | \(0.821882\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.49107 | − | 4.35714i | −0.691810 | − | 0.548948i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.49497 | + | 2.58936i | −0.185428 | + | 0.321171i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10.4361 | + | 12.4373i | 1.27497 | + | 1.51945i | 0.735668 | + | 0.677342i | \(0.236868\pi\) |
0.539305 | + | 0.842111i | \(0.318687\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 5.03141 | + | 13.2564i | 0.605711 | + | 1.59588i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.29622 | + | 13.0225i | −0.272511 | + | 1.54549i | 0.474247 | + | 0.880392i | \(0.342720\pi\) |
−0.746758 | + | 0.665095i | \(0.768391\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.84733 | − | 2.12826i | 0.684379 | − | 0.249093i | 0.0236522 | − | 0.999720i | \(-0.492471\pi\) |
0.660726 | + | 0.750627i | \(0.270248\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.0333438 | + | 0.205509i | −0.00385021 | + | 0.0237301i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | − | 6.80348i | − | 0.775329i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.77569 | − | 4.87866i | −0.199781 | − | 0.548893i | 0.798832 | − | 0.601554i | \(-0.205452\pi\) |
−0.998612 | + | 0.0526618i | \(0.983229\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.56756 | − | 6.15363i | 0.729729 | − | 0.683736i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.62533 | − | 0.938386i | 0.178403 | − | 0.103001i | −0.408139 | − | 0.912920i | \(-0.633822\pi\) |
0.586542 | + | 0.809919i | \(0.300489\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −10.0347 | + | 8.42009i | −1.08841 | + | 0.913288i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 2.88550 | + | 2.35469i | 0.309358 | + | 0.252450i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.82289 | − | 2.11936i | −0.617225 | − | 0.224651i | 0.0144367 | − | 0.999896i | \(-0.495405\pi\) |
−0.631661 | + | 0.775244i | \(0.717627\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.04054 | + | 0.536130i | −0.318735 | + | 0.0562017i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −6.89696 | − | 7.99469i | −0.715181 | − | 0.829011i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.44644 | + | 9.55504i | 0.251000 | + | 0.980326i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.13336 | − | 7.30946i | 0.622748 | − | 0.742163i | −0.358792 | − | 0.933418i | \(-0.616811\pi\) |
0.981540 | + | 0.191255i | \(0.0612557\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 8.64076 | + | 1.28086i | 0.868429 | + | 0.128732i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −4.28105 | + | 11.7621i | −0.425980 | + | 1.17037i | 0.522251 | + | 0.852792i | \(0.325092\pi\) |
−0.948232 | + | 0.317580i | \(0.897130\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.59279 | − | 4.38370i | −0.748140 | − | 0.431939i | 0.0768818 | − | 0.997040i | \(-0.475504\pi\) |
−0.825021 | + | 0.565102i | \(0.808837\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −7.86738 | + | 4.68693i | −0.767777 | + | 0.457398i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.04583 | − | 7.00758i | −0.391125 | − | 0.677449i | 0.601473 | − | 0.798893i | \(-0.294581\pi\) |
−0.992598 | + | 0.121444i | \(0.961247\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.26213 | + | 1.28051i | 0.695586 | + | 0.122651i | 0.510252 | − | 0.860025i | \(-0.329552\pi\) |
0.185334 | + | 0.982676i | \(0.440663\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.08658 | + | 0.968852i | −0.482797 | + | 0.0919594i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −14.8779 | −1.39960 | −0.699799 | − | 0.714340i | \(-0.746727\pi\) | ||||
−0.699799 | + | 0.714340i | \(0.746727\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 18.5239 | 1.72736 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.108480 | − | 3.96257i | −0.0100290 | − | 0.366340i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −13.3210 | − | 2.34886i | −1.22114 | − | 0.215320i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.26093 | − | 2.18399i | −0.114630 | − | 0.198545i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 8.04268 | + | 13.5002i | 0.725184 | + | 1.21728i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.56260 | − | 5.52097i | −0.855305 | − | 0.493811i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.54056 | − | 6.98012i | 0.225438 | − | 0.619386i | −0.774475 | − | 0.632605i | \(-0.781986\pi\) |
0.999913 | + | 0.0132192i | \(0.00420794\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.664312 | − | 0.00909146i | 0.0584894 | − | 0.000800458i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 11.4406 | − | 13.6344i | 0.999574 | − | 1.19125i | 0.0180637 | − | 0.999837i | \(-0.494250\pi\) |
0.981510 | − | 0.191409i | \(-0.0613057\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.93447 | + | 8.27736i | −0.514584 | + | 0.717738i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.47148 | − | 10.8743i | −0.384843 | − | 0.935915i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 16.1747 | − | 2.85204i | 1.38190 | − | 0.243666i | 0.567215 | − | 0.823570i | \(-0.308021\pi\) |
0.814685 | + | 0.579904i | \(0.196910\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 18.1680 | + | 6.61260i | 1.54099 | + | 0.560873i | 0.966282 | − | 0.257487i | \(-0.0828944\pi\) |
0.574705 | + | 0.818360i | \(0.305117\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 11.2013 | − | 13.7264i | 0.943323 | − | 1.15597i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.94729 | − | 2.47307i | 0.246465 | − | 0.206809i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.21369 | − | 2.43277i | 0.349928 | − | 0.202031i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.51938 | + | 0.878126i | 0.207795 | + | 0.0724266i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.20295 | − | 6.05256i | −0.180473 | − | 0.495845i | 0.816161 | − | 0.577824i | \(-0.196098\pi\) |
−0.996634 | + | 0.0819794i | \(0.973876\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.02833i | 0.246442i | 0.992379 | + | 0.123221i | \(0.0393223\pi\) | ||||
−0.992379 | + | 0.123221i | \(0.960678\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 5.49107 | − | 16.4762i | 0.443926 | − | 1.33202i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −12.9620 | + | 4.71780i | −1.04114 | + | 0.378942i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.32082 | − | 18.8333i | 0.265030 | − | 1.50306i | −0.503918 | − | 0.863751i | \(-0.668109\pi\) |
0.768949 | − | 0.639311i | \(-0.220780\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.60858 | − | 1.74917i | 0.365484 | − | 0.138718i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 12.2952 | + | 14.6529i | 0.968999 | + | 1.15481i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.09435 | − | 5.35958i | 0.242368 | − | 0.419794i | −0.719020 | − | 0.694989i | \(-0.755409\pi\) |
0.961388 | + | 0.275195i | \(0.0887424\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 5.57013 | − | 9.96007i | 0.433634 | − | 0.775391i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.758731 | − | 4.30298i | −0.0587124 | − | 0.332975i | 0.941277 | − | 0.337636i | \(-0.109627\pi\) |
−0.999989 | + | 0.00466148i | \(0.998516\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 8.62108 | + | 7.23395i | 0.663160 | + | 0.556458i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −9.39540 | − | 9.09541i | −0.718484 | − | 0.695543i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 11.4117 | + | 9.57556i | 0.867616 | + | 0.728016i | 0.963595 | − | 0.267367i | \(-0.0861536\pi\) |
−0.0959786 | + | 0.995383i | \(0.530598\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.0487712 | + | 0.276595i | 0.00368676 | + | 0.0209086i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.80074 | + | 5.00807i | −0.210517 | + | 0.376429i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.68012 | + | 2.91005i | −0.125578 | + | 0.217507i | −0.921959 | − | 0.387288i | \(-0.873412\pi\) |
0.796381 | + | 0.604796i | \(0.206745\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.7706 | + | 15.2194i | 0.949231 | + | 1.13125i | 0.991232 | + | 0.132132i | \(0.0421822\pi\) |
−0.0420013 | + | 0.999118i | \(0.513373\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −9.50065 | + | 3.60593i | −0.702308 | + | 0.266558i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.17467 | + | 6.66191i | −0.0863638 | + | 0.489794i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 15.8395 | − | 5.76511i | 1.15830 | − | 0.421587i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 5.63396 | − | 10.7549i | 0.409810 | − | 0.782305i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 10.2346i | − | 0.740548i | −0.928923 | − | 0.370274i | \(-0.879264\pi\) | ||
0.928923 | − | 0.370274i | \(-0.120736\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.784644 | − | 2.15579i | −0.0564799 | − | 0.155177i | 0.908244 | − | 0.418441i | \(-0.137423\pi\) |
−0.964724 | + | 0.263264i | \(0.915201\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −4.89019 | − | 1.70447i | −0.350194 | − | 0.122060i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.46822 | − | 3.15708i | 0.389595 | − | 0.224933i | −0.292390 | − | 0.956299i | \(-0.594450\pi\) |
0.681984 | + | 0.731367i | \(0.261117\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.96251 | − | 6.68134i | 0.564447 | − | 0.473628i | −0.315351 | − | 0.948975i | \(-0.602122\pi\) |
0.879798 | + | 0.475348i | \(0.157678\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −17.7794 | + | 21.7873i | −1.25406 | + | 1.53676i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 4.72123 | + | 1.71839i | 0.331365 | + | 0.120607i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 20.2177 | − | 3.56492i | 1.41206 | − | 0.248985i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −20.9246 | + | 12.8569i | −1.45436 | + | 0.893616i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.24704 | − | 12.6305i | 0.0862598 | − | 0.873670i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.58388 | − | 4.27111i | 0.246725 | − | 0.294035i | −0.628442 | − | 0.777856i | \(-0.716307\pi\) |
0.875167 | + | 0.483821i | \(0.160752\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −22.9015 | + | 0.313418i | −1.56918 | + | 0.0214751i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.296857 | − | 0.815608i | 0.0202455 | − | 0.0556240i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −12.3355 | − | 7.12188i | −0.837386 | − | 0.483465i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 5.51615 | + | 9.25929i | 0.372747 | + | 0.625685i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.82468 | − | 6.62453i | −0.257276 | − | 0.445614i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.10735 | − | 0.900564i | −0.342014 | − | 0.0603062i | 3.40741e−6 | − | 1.00000i | \(-0.499999\pi\) |
−0.342017 | + | 0.939694i | \(0.611110\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.360471 | + | 0.00986833i | −0.0240314 | + | 0.000657889i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 17.0369 | 1.13078 | 0.565391 | − | 0.824823i | \(-0.308725\pi\) | ||||
0.565391 | + | 0.824823i | \(0.308725\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 24.5203 | 1.62035 | 0.810173 | − | 0.586191i | \(-0.199373\pi\) | ||||
0.810173 | + | 0.586191i | \(0.199373\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 11.5759 | − | 2.20488i | 0.761636 | − | 0.145070i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −22.4936 | − | 3.96623i | −1.47360 | − | 0.259836i | −0.621585 | − | 0.783346i | \(-0.713511\pi\) |
−0.852019 | + | 0.523510i | \(0.824622\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −11.5728 | − | 20.0447i | −0.754925 | − | 1.30757i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 7.72539 | − | 4.60235i | 0.501818 | − | 0.298955i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2.62883 | − | 1.51775i | −0.170045 | − | 0.0981753i | 0.412562 | − | 0.910929i | \(-0.364634\pi\) |
−0.582607 | + | 0.812754i | \(0.697967\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.35157 | + | 3.71341i | −0.0870624 | + | 0.239202i | −0.975582 | − | 0.219638i | \(-0.929512\pi\) |
0.888519 | + | 0.458840i | \(0.151735\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 12.5986 | + | 9.18018i | 0.808199 | + | 0.588909i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 2.24048 | − | 2.67010i | 0.143139 | − | 0.170586i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.74296 | + | 0.437996i | −0.365416 | + | 0.0278690i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 2.12337 | + | 2.46133i | 0.134563 | + | 0.155980i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −7.14276 | + | 1.25946i | −0.450847 | + | 0.0794965i | −0.394461 | − | 0.918913i | \(-0.629069\pi\) |
−0.0563857 | + | 0.998409i | \(0.517958\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −22.3988 | − | 8.15248i | −1.40820 | − | 0.512542i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −17.5785 | − | 14.3448i | −1.10081 | − | 0.898308i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 7.10091 | − | 5.95837i | 0.442942 | − | 0.371673i | −0.393867 | − | 0.919168i | \(-0.628863\pi\) |
0.836809 | + | 0.547495i | \(0.184418\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.04944 | + | 3.49265i | −0.375894 | + | 0.217023i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.07128 | + | 5.67268i | −0.190108 | + | 0.351130i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.21399 | − | 3.33541i | −0.0748578 | − | 0.205670i | 0.896620 | − | 0.442801i | \(-0.146015\pi\) |
−0.971478 | + | 0.237131i | \(0.923793\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 6.43982i | − | 0.395595i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.71892 | − | 10.5943i | 0.105196 | − | 0.648358i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −4.70855 | + | 1.71377i | −0.287086 | + | 0.104491i | −0.481549 | − | 0.876419i | \(-0.659926\pi\) |
0.194463 | + | 0.980910i | \(0.437703\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.60600 | − | 9.10806i | 0.0975574 | − | 0.553275i | −0.896376 | − | 0.443294i | \(-0.853810\pi\) |
0.993934 | − | 0.109981i | \(-0.0350791\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −1.89759 | − | 4.99962i | −0.114847 | − | 0.302591i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.224973 | − | 0.268112i | −0.0135664 | − | 0.0161678i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.80040 | − | 6.58248i | 0.228344 | − | 0.395503i | −0.728974 | − | 0.684542i | \(-0.760002\pi\) |
0.957317 | + | 0.289039i | \(0.0933356\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 11.3675 | − | 14.3258i | 0.680554 | − | 0.857665i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.50185 | + | 14.1887i | 0.149248 | + | 0.846425i | 0.963858 | + | 0.266417i | \(0.0858397\pi\) |
−0.814610 | + | 0.580009i | \(0.803049\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.59307 | − | 6.37134i | −0.451361 | − | 0.378737i | 0.388579 | − | 0.921415i | \(-0.372966\pi\) |
−0.839941 | + | 0.542678i | \(0.817410\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −15.4647 | + | 7.25913i | −0.916049 | + | 0.429994i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 16.2394 | + | 13.6265i | 0.958584 | + | 0.804348i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.86743 | − | 16.2620i | −0.168673 | − | 0.956589i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 14.4245 | + | 8.06682i | 0.845577 | + | 0.472886i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −4.11218 | + | 7.12251i | −0.240236 | + | 0.416102i | −0.960782 | − | 0.277306i | \(-0.910558\pi\) |
0.720545 | + | 0.693408i | \(0.243892\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.81851 | + | 5.74247i | 0.280544 | + | 0.334340i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.620963 | + | 15.1170i | 0.0360319 | + | 0.877178i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1.87835 | + | 10.6527i | −0.108628 | + | 0.616059i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.842207 | − | 0.306538i | 0.0485440 | − | 0.0176686i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −21.4001 | − | 3.47217i | −1.22941 | − | 0.199471i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 13.2758i | 0.760168i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.47152 | + | 9.53794i | 0.198130 | + | 0.544359i | 0.998476 | − | 0.0551795i | \(-0.0175731\pi\) |
−0.800346 | + | 0.599538i | \(0.795351\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.99801 | − | 14.3395i | 0.284327 | − | 0.815746i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −9.98316 | + | 5.76378i | −0.566093 | + | 0.326834i | −0.755587 | − | 0.655048i | \(-0.772648\pi\) |
0.189494 | + | 0.981882i | \(0.439315\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.29638 | − | 1.92690i | 0.129799 | − | 0.108915i | −0.575577 | − | 0.817748i | \(-0.695222\pi\) |
0.705376 | + | 0.708833i | \(0.250778\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −10.5243 | − | 11.8671i | −0.592977 | − | 0.668635i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −15.4509 | − | 5.62366i | −0.867808 | − | 0.315856i | −0.130529 | − | 0.991445i | \(-0.541667\pi\) |
−0.737279 | + | 0.675588i | \(0.763890\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.16581 | + | 1.08720i | −0.345219 | + | 0.0608714i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 10.6120 | − | 9.15485i | 0.592302 | − | 0.510974i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −24.2997 | − | 6.80228i | −1.35207 | − | 0.378489i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.102094 | + | 0.121670i | −0.00566313 | + | 0.00674906i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.174781 | + | 12.7712i | 0.00966540 | + | 0.706250i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 8.17442 | − | 22.4590i | 0.450670 | − | 1.23821i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.51206 | − | 0.872986i | −0.0831101 | − | 0.0479837i | 0.457869 | − | 0.889020i | \(-0.348613\pi\) |
−0.540979 | + | 0.841036i | \(0.681946\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.29693 | − | 8.34064i | −0.180671 | − | 0.457064i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 18.3689 | + | 31.8160i | 1.00360 | + | 1.73829i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −14.3139 | − | 2.52392i | −0.779727 | − | 0.137487i | −0.230402 | − | 0.973096i | \(-0.574004\pi\) |
−0.549325 | + | 0.835609i | \(0.685115\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −4.82166 | − | 25.3142i | −0.261876 | − | 1.37488i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 17.7498 | 0.961207 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.9553 | 1.07749 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 6.00323 | + | 31.5176i | 0.323203 | + | 1.69685i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 5.30901 | + | 0.936123i | 0.285003 | + | 0.0502537i | 0.314322 | − | 0.949316i | \(-0.398223\pi\) |
−0.0293192 | + | 0.999570i | \(0.509334\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.57657 | − | 2.73070i | −0.0843920 | − | 0.146171i | 0.820740 | − | 0.571302i | \(-0.193561\pi\) |
−0.905132 | + | 0.425131i | \(0.860228\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.70701 | − | 1.46877i | 0.357994 | − | 0.0783971i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 19.6094 | + | 11.3215i | 1.04370 | + | 0.602582i | 0.920880 | − | 0.389847i | \(-0.127472\pi\) |
0.122822 | + | 0.992429i | \(0.460805\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −10.2338 | + | 28.1172i | −0.543155 | + | 1.49231i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.320603 | − | 23.4265i | −0.0169681 | − | 1.23986i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 10.4708 | − | 12.4786i | 0.552628 | − | 0.658596i | −0.415341 | − | 0.909666i | \(-0.636338\pi\) |
0.967969 | + | 0.251069i | \(0.0807822\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.5344 | + | 14.2790i | −0.659705 | + | 0.751525i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.30734 | − | 2.85321i | 0.173590 | − | 0.149755i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 13.8665 | − | 2.44504i | 0.725806 | − | 0.127979i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −13.5022 | − | 4.91441i | −0.704811 | − | 0.256530i | −0.0353474 | − | 0.999375i | \(-0.511254\pi\) |
−0.669464 | + | 0.742845i | \(0.733476\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −20.3637 | + | 18.0595i | −1.06009 | + | 0.940139i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 5.09407 | − | 4.27443i | 0.264471 | − | 0.221918i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −31.7907 | + | 18.3543i | −1.64606 | + | 0.950352i | −0.667441 | + | 0.744663i | \(0.732610\pi\) |
−0.978617 | + | 0.205689i | \(0.934056\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 6.29466 | − | 18.0596i | 0.325055 | − | 0.932596i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.971760 | + | 2.66989i | 0.0500482 | + | 0.137506i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 26.0481i | 1.33800i | 0.743263 | + | 0.669000i | \(0.233277\pi\) | ||||
−0.743263 | + | 0.669000i | \(0.766723\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 12.6998 | + | 2.06053i | 0.650628 | + | 0.105564i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −2.22943 | + | 0.811445i | −0.113918 | + | 0.0414629i | −0.398350 | − | 0.917233i | \(-0.630417\pi\) |
0.284432 | + | 0.958696i | \(0.408195\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.67328 | − | 15.1609i | 0.136243 | − | 0.772673i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.230760 | + | 1.12735i | 0.0117302 | + | 0.0573067i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −15.0557 | − | 17.9426i | −0.763353 | − | 0.909728i | 0.234702 | − | 0.972067i | \(-0.424588\pi\) |
−0.998055 | + | 0.0623389i | \(0.980144\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −23.6954 | + | 41.0416i | −1.19833 | + | 2.07556i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 26.9062 | + | 15.0472i | 1.35724 | + | 0.759029i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −2.03999 | − | 11.5694i | −0.102643 | − | 0.582119i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.26511 | + | 4.41795i | 0.264248 | + | 0.221731i | 0.765279 | − | 0.643699i | \(-0.222601\pi\) |
−0.501031 | + | 0.865430i | \(0.667046\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −16.0069 | − | 7.41473i | −0.801345 | − | 0.371201i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −23.7988 | − | 19.9695i | −1.18845 | − | 0.997231i | −0.999885 | − | 0.0151712i | \(-0.995171\pi\) |
−0.188569 | − | 0.982060i | \(-0.560385\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.39873 | − | 7.93257i | −0.0696755 | − | 0.395150i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 17.0532 | − | 11.1322i | 0.847378 | − | 0.553164i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 4.35235 | − | 7.53850i | 0.215738 | − | 0.373670i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.64702 | − | 6.72985i | −0.279227 | − | 0.332770i | 0.608143 | − | 0.793827i | \(-0.291915\pi\) |
−0.887370 | + | 0.461057i | \(0.847470\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 10.0946 | + | 26.5964i | 0.497928 | + | 1.31190i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.34417 | + | 7.62314i | −0.0661420 | + | 0.375110i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.99063 | − | 1.45247i | 0.195892 | − | 0.0712989i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −5.36319 | + | 33.0551i | −0.262637 | + | 1.61872i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 0.268652i | − | 0.0131245i | −0.999978 | − | 0.00656225i | \(-0.997911\pi\) | ||
0.999978 | − | 0.00656225i | \(-0.00208885\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.44528 | + | 17.7083i | 0.314124 | + | 0.863048i | 0.991813 | + | 0.127699i | \(0.0407592\pi\) |
−0.677689 | + | 0.735348i | \(0.737019\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 26.9851 | + | 14.6102i | 1.31206 | + | 0.710372i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.602627 | + | 0.347927i | −0.0292317 | + | 0.0168769i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −10.5015 | + | 8.81180i | −0.508203 | + | 0.426433i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 5.16300 | + | 4.21323i | 0.249272 | + | 0.203417i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −8.09752 | − | 2.94726i | −0.390044 | − | 0.141964i | 0.139551 | − | 0.990215i | \(-0.455434\pi\) |
−0.529595 | + | 0.848250i | \(0.677656\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.52374 | − | 1.50296i | 0.409625 | − | 0.0722279i | 0.0349610 | − | 0.999389i | \(-0.488869\pi\) |
0.374664 | + | 0.927161i | \(0.377758\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 5.50485 | + | 6.38102i | 0.263937 | + | 0.305946i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 20.1400 | + | 29.4564i | 0.963426 | + | 1.40909i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 16.0959 | − | 19.1824i | 0.768216 | − | 0.915524i | −0.230122 | − | 0.973162i | \(-0.573912\pi\) |
0.998338 | + | 0.0576380i | \(0.0183569\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.677615 | + | 4.57121i | −0.0322674 | + | 0.217677i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 2.20842 | − | 6.06757i | 0.104925 | − | 0.288279i | −0.876110 | − | 0.482112i | \(-0.839870\pi\) |
0.981035 | + | 0.193833i | \(0.0620920\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.1430 | − | 7.01078i | −0.575634 | − | 0.332343i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 9.58426 | − | 5.70975i | 0.453320 | − | 0.270062i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −11.3528 | − | 19.6637i | −0.535774 | − | 0.927988i | −0.999125 | − | 0.0418133i | \(-0.986687\pi\) |
0.463351 | − | 0.886175i | \(-0.346647\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −26.0159 | − | 4.58730i | −1.22504 | − | 0.216007i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −5.15258 | + | 0.981423i | −0.242089 | + | 0.0461113i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −6.98624 | −0.327520 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.08970 | 0.425198 | 0.212599 | − | 0.977140i | \(-0.431807\pi\) | ||||
0.212599 | + | 0.977140i | \(0.431807\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 29.8131 | + | 4.00323i | 1.39156 | + | 0.186855i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −19.6634 | − | 3.46719i | −0.915818 | − | 0.161483i | −0.304174 | − | 0.952617i | \(-0.598380\pi\) |
−0.611644 | + | 0.791133i | \(0.709491\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.304139 | − | 0.526785i | −0.0141346 | − | 0.0244818i | 0.858872 | − | 0.512191i | \(-0.171166\pi\) |
−0.873006 | + | 0.487709i | \(0.837833\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −12.2279 | − | 20.5255i | −0.567055 | − | 0.951845i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 13.6575 | + | 7.88518i | 0.631995 | + | 0.364883i | 0.781524 | − | 0.623875i | \(-0.214442\pi\) |
−0.149529 | + | 0.988757i | \(0.547776\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −12.9749 | + | 35.6482i | −0.599124 | + | 1.64608i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 33.1204 | − | 0.453270i | 1.52611 | − | 0.0208856i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.717910 | + | 0.855572i | −0.0330095 | + | 0.0393392i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.0398441 | + | 0.522432i | 0.00182817 | + | 0.0239708i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.46970 | + | 7.27445i | 0.204653 | + | 0.333074i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −9.47350 | + | 1.67043i | −0.432855 | + | 0.0763241i | −0.385831 | − | 0.922570i | \(-0.626085\pi\) |
−0.0470248 | + | 0.998894i | \(0.514974\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.71200 | − | 1.35106i | −0.169253 | − | 0.0616030i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −20.9467 | + | 25.6686i | −0.953106 | + | 1.16796i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 16.5397 | − | 13.8785i | 0.751031 | − | 0.630190i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −28.7513 | + | 16.5996i | −1.30285 | + | 0.752198i | −0.980891 | − | 0.194557i | \(-0.937673\pi\) |
−0.321954 | + | 0.946755i | \(0.604340\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 10.1219 | + | 3.52798i | 0.457730 | + | 0.159541i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 3.75074 | + | 10.3051i | 0.169268 | + | 0.465061i | 0.995102 | − | 0.0988527i | \(-0.0315173\pi\) |
−0.825834 | + | 0.563914i | \(0.809295\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 12.4478i | 0.560623i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 18.7519 | + | 6.24949i | 0.842833 | + | 0.280894i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −29.0342 | + | 10.5676i | −1.30236 | + | 0.474021i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.30316 | − | 30.0757i | 0.237402 | − | 1.34637i | −0.600094 | − | 0.799930i | \(-0.704870\pi\) |
0.837496 | − | 0.546444i | \(-0.184019\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 7.07546 | − | 2.68547i | 0.316108 | − | 0.119978i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −10.7776 | − | 12.8442i | −0.480550 | − | 0.572697i | 0.470238 | − | 0.882540i | \(-0.344168\pi\) |
−0.950788 | + | 0.309843i | \(0.899724\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −14.1616 | + | 24.5286i | −0.630182 | + | 1.09151i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −9.51436 | + | 17.0128i | −0.422547 | + | 0.755566i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 7.27364 | + | 41.2508i | 0.322398 | + | 1.82841i | 0.527360 | + | 0.849642i | \(0.323182\pi\) |
−0.204962 | + | 0.978770i | \(0.565707\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 11.1380 | + | 9.34588i | 0.492716 | + | 0.413438i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 12.4306 | − | 18.9336i | 0.548825 | − | 0.835937i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −15.1974 | − | 12.7521i | −0.669676 | − | 0.561925i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.17184 | + | 29.3310i | 0.227457 | + | 1.28997i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −12.5941 | + | 22.5198i | −0.552821 | + | 0.988511i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 5.82256 | − | 10.0850i | 0.255091 | − | 0.441831i | −0.709829 | − | 0.704374i | \(-0.751228\pi\) |
0.964920 | + | 0.262543i | \(0.0845612\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.24233 | − | 1.48055i | −0.0543231 | − | 0.0647398i | 0.738199 | − | 0.674583i | \(-0.235677\pi\) |
−0.792522 | + | 0.609844i | \(0.791232\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.454810 | + | 0.172622i | −0.0198495 | + | 0.00753382i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 6.12802 | − | 34.7537i | 0.266941 | − | 1.51390i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 41.3611 | − | 15.0542i | 1.79831 | − | 0.654531i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −9.42870 | − | 3.14233i | −0.409171 | − | 0.136366i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 11.9882i | 0.519268i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.26229 | − | 17.2055i | −0.270742 | − | 0.743858i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −5.49583 | − | 1.91557i | −0.237163 | − | 0.0826627i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3.88428 | + | 2.24259i | −0.167308 | + | 0.0965953i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.95720 | + | 6.67688i | −0.342107 | + | 0.287062i | −0.797611 | − | 0.603172i | \(-0.793903\pi\) |
0.455505 | + | 0.890233i | \(0.349459\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −21.7565 | + | 26.6610i | −0.933662 | + | 1.14413i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 15.6798 | + | 5.70700i | 0.671651 | + | 0.244461i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −24.0156 | + | 4.23461i | −1.02683 | + | 0.181059i | −0.661600 | − | 0.749857i | \(-0.730122\pi\) |
−0.365235 | + | 0.930915i | \(0.619011\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −9.21434 | − | 14.9964i | −0.393258 | − | 0.640029i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 8.44988 | + | 4.05552i | 0.359977 | + | 0.172771i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 7.79765 | − | 9.29287i | 0.331590 | − | 0.395173i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −11.7157 | + | 0.160335i | −0.497303 | + | 0.00680585i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −6.96784 | + | 19.1440i | −0.295237 | + | 0.811156i | 0.700042 | + | 0.714101i | \(0.253164\pi\) |
−0.995279 | + | 0.0970547i | \(0.969058\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.438936 | + | 0.253420i | 0.0185650 | + | 0.0107185i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 14.9424 | + | 25.0820i | 0.630869 | + | 1.05896i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −0.391026 | − | 0.677277i | −0.0164798 | − | 0.0285438i | 0.857668 | − | 0.514204i | \(-0.171913\pi\) |
−0.874148 | + | 0.485660i | \(0.838579\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −33.1541 | − | 5.84597i | −1.39481 | − | 0.245942i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 20.1249 | + | 6.10050i | 0.845167 | + | 0.256197i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 12.5732 | 0.527098 | 0.263549 | − | 0.964646i | \(-0.415107\pi\) | ||||
0.263549 | + | 0.964646i | \(0.415107\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.14694 | 0.0898468 | 0.0449234 | − | 0.998990i | \(-0.485696\pi\) | ||||
0.0449234 | + | 0.998990i | \(0.485696\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 17.4137 | − | 3.31683i | 0.727469 | − | 0.138563i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.969062 | + | 0.170872i | 0.0404127 | + | 0.00712585i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −19.9348 | − | 34.5282i | −0.829898 | − | 1.43743i | −0.898117 | − | 0.439756i | \(-0.855065\pi\) |
0.0682191 | − | 0.997670i | \(-0.478268\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 3.41371 | − | 2.03369i | 0.141869 | − | 0.0845174i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 3.79772 | + | 2.19262i | 0.157556 | + | 0.0909650i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.83421 | + | 7.78693i | −0.117381 | + | 0.322502i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1.31527 | − | 8.87286i | 0.0543798 | − | 0.366848i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −28.9490 | + | 34.5001i | −1.19485 | + | 1.42397i | −0.314757 | + | 0.949172i | \(0.601923\pi\) |
−0.880095 | + | 0.474797i | \(0.842521\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −21.5951 | − | 15.4826i | −0.889810 | − | 0.637951i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 7.14380 | + | 8.28082i | 0.293856 | + | 0.340627i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 29.2417 | − | 5.15610i | 1.20081 | − | 0.211736i | 0.462763 | − | 0.886482i | \(-0.346858\pi\) |
0.738050 | + | 0.674746i | \(0.235747\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −28.7618 | − | 10.4684i | −1.17912 | − | 0.429164i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 13.9485 | + | 11.3826i | 0.570876 | + | 0.465859i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −23.2268 | + | 19.4896i | −0.949023 | + | 0.796325i | −0.979133 | − | 0.203222i | \(-0.934859\pi\) |
0.0301101 | + | 0.999547i | \(0.490414\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 19.5471 | − | 11.2855i | 0.797343 | − | 0.460346i | −0.0451983 | − | 0.998978i | \(-0.514392\pi\) |
0.842541 | + | 0.538632i | \(0.181059\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −42.8322 | − | 23.1901i | −1.74426 | − | 0.944373i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −1.95171 | − | 5.36229i | −0.0793484 | − | 0.218008i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 22.1708i | 0.899886i | 0.893057 | + | 0.449943i | \(0.148556\pi\) | ||||
−0.893057 | + | 0.449943i | \(0.851444\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −1.39371 | + | 8.58989i | −0.0564759 | + | 0.348080i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 12.7007 | − | 4.62269i | 0.513817 | − | 0.187014i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.39349 | + | 24.9167i | −0.177451 | + | 1.00638i | 0.757825 | + | 0.652458i | \(0.226262\pi\) |
−0.935276 | + | 0.353919i | \(0.884849\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 12.6177 | + | 33.2443i | 0.508797 | + | 1.34054i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −3.45217 | − | 4.11414i | −0.138979 | − | 0.165629i | 0.692065 | − | 0.721835i | \(-0.256701\pi\) |
−0.831045 | + | 0.556206i | \(0.812257\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.8898 | − | 18.8617i | 0.437699 | − | 0.758117i | −0.559813 | − | 0.828619i | \(-0.689127\pi\) |
0.997512 | + | 0.0705023i | \(0.0224602\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −28.6568 | − | 31.4358i | −1.14996 | − | 1.26148i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −2.51422 | − | 14.2589i | −0.100730 | − | 0.571269i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.6004 | − | 16.4467i | −0.784018 | − | 0.657869i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 21.8945 | − | 1.97151i | 0.874380 | − | 0.0787345i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −13.2576 | − | 11.1244i | −0.528614 | − | 0.443560i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.49759 | + | 14.1646i | 0.0994276 | + | 0.563882i | 0.993300 | + | 0.115561i | \(0.0368667\pi\) |
−0.893873 | + | 0.448321i | \(0.852022\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 8.42859 | + | 4.71366i | 0.335006 | + | 0.187351i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 8.40409 | − | 14.5563i | 0.333506 | − | 0.577650i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.30833 | + | 1.55920i | 0.0518378 | + | 0.0617779i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −7.95520 | − | 38.8644i | −0.314703 | − | 1.53745i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1.24354 | − | 7.05244i | 0.0491167 | − | 0.278555i | −0.950351 | − | 0.311180i | \(-0.899276\pi\) |
0.999468 | + | 0.0326255i | \(0.0103869\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −9.97359 | + | 3.63009i | −0.393320 | + | 0.143157i | −0.531106 | − | 0.847305i | \(-0.678224\pi\) |
0.137786 | + | 0.990462i | \(0.456001\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1.48393 | + | 0.240768i | 0.0584297 | + | 0.00948022i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 25.2527i | 0.992786i | 0.868098 | + | 0.496393i | \(0.165342\pi\) | ||||
−0.868098 | + | 0.496393i | \(0.834658\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.29916 | − | 9.06437i | −0.129503 | − | 0.355808i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 8.11992 | − | 23.2964i | 0.318245 | − | 0.913057i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 4.44155 | − | 2.56433i | 0.173811 | − | 0.100350i | −0.410570 | − | 0.911829i | \(-0.634670\pi\) |
0.584382 | + | 0.811479i | \(0.301337\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 30.8518 | − | 25.8877i | 1.20548 | − | 1.01152i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −13.9666 | + | 12.3863i | −0.544890 | + | 0.483235i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 39.0596 | + | 14.2165i | 1.52154 | + | 0.553797i | 0.961533 | − | 0.274688i | \(-0.0885747\pi\) |
0.560011 | + | 0.828485i | \(0.310797\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −46.7645 | + | 8.24585i | −1.81893 | + | 0.320726i | −0.976078 | − | 0.217421i | \(-0.930236\pi\) |
−0.842851 | + | 0.538147i | \(0.819125\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 10.0319 | − | 8.65443i | 0.389606 | − | 0.336110i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −16.4768 | + | 16.1135i | −0.638944 | + | 0.624856i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 11.3147 | − | 13.4844i | 0.438108 | − | 0.522116i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.122921 | − | 8.98182i | −0.00475240 | − | 0.347257i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 5.84276 | − | 16.0529i | 0.225557 | − | 0.619713i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −37.0622 | − | 21.3979i | −1.42864 | − | 0.824827i | −0.431629 | − | 0.902051i | \(-0.642061\pi\) |
−0.997014 | + | 0.0772240i | \(0.975394\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.133613 | − | 0.610130i | −0.00514275 | − | 0.0234839i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −16.0186 | − | 27.7451i | −0.615646 | − | 1.06633i | −0.990271 | − | 0.139153i | \(-0.955562\pi\) |
0.374625 | − | 0.927176i | \(-0.377771\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 21.9565 | + | 3.87153i | 0.842614 | + | 0.148576i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 5.52135 | + | 28.9877i | 0.211578 | + | 1.11081i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 8.09665 | 0.309810 | 0.154905 | − | 0.987929i | \(-0.450493\pi\) | ||||
0.154905 | + | 0.987929i | \(0.450493\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 37.1646 | 1.41998 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 7.94656 | + | 41.7203i | 0.303180 | + | 1.59173i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 3.70340 | + | 0.653009i | 0.141088 | + | 0.0248777i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −14.6326 | − | 25.3445i | −0.556652 | − | 0.964149i | −0.997773 | − | 0.0667014i | \(-0.978753\pi\) |
0.441121 | − | 0.897447i | \(-0.354581\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 7.50304 | + | 18.9813i | 0.285017 | + | 0.721041i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 37.8874 | + | 21.8743i | 1.43715 | + | 0.829740i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −17.9636 | + | 49.3547i | −0.680421 | + | 1.86944i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −0.541363 | − | 39.5574i | −0.0204762 | − | 1.49620i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −6.18601 | + | 7.37220i | −0.233642 | + | 0.278444i | −0.870108 | − | 0.492861i | \(-0.835951\pi\) |
0.636466 | + | 0.771305i | \(0.280396\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −11.8708 | + | 5.37519i | −0.447717 | + | 0.202729i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 30.3547 | − | 26.1867i | 1.14322 | − | 0.986250i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −28.8025 | + | 5.07867i | −1.08323 | + | 0.191003i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.54680 | + | 0.926959i | 0.0956471 | + | 0.0348127i | 0.389400 | − | 0.921069i | \(-0.372682\pi\) |
−0.293753 | + | 0.955881i | \(0.594904\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 10.3344 | + | 11.6529i | 0.387569 | + | 0.437019i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −38.2284 | + | 32.0774i | −1.43166 | + | 1.20131i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.53951 | − | 4.35294i | 0.281962 | − | 0.162791i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 1.73045 | − | 4.96472i | 0.0646247 | − | 0.185411i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −3.02583 | − | 8.31341i | −0.112845 | − | 0.310038i | 0.870396 | − | 0.492353i | \(-0.163863\pi\) |
−0.983240 | + | 0.182315i | \(0.941641\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 20.4857i | − | 0.762929i | ||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −6.75625 | − | 1.09620i | −0.251268 | − | 0.0407681i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.242877 | − | 0.0884000i | 0.00902023 | − | 0.00328309i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.48485 | − | 36.7774i | 0.240510 | − | 1.36400i | −0.590183 | − | 0.807269i | \(-0.700945\pi\) |
0.830693 | − | 0.556730i | \(-0.187944\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −11.5368 | + | 24.4111i | −0.427288 | + | 0.904116i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.42733 | + | 1.70103i | 0.0527918 | + | 0.0629149i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 17.5306 | − | 30.3638i | 0.647506 | − | 1.12151i | −0.336211 | − | 0.941787i | \(-0.609146\pi\) |
0.983717 | − | 0.179726i | \(-0.0575211\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 5.26917 | + | 2.94676i | 0.194356 | + | 0.108693i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −8.20902 | − | 46.5557i | −0.302383 | − | 1.71490i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −20.2995 | − | 17.0333i | −0.746731 | − | 0.626581i | 0.187905 | − | 0.982187i | \(-0.439830\pi\) |
−0.934636 | + | 0.355606i | \(0.884275\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2.60642 | − | 9.62949i | −0.0957492 | − | 0.353748i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −24.2865 | − | 20.3788i | −0.890984 | − | 0.747624i | 0.0774234 | − | 0.996998i | \(-0.475331\pi\) |
−0.968407 | + | 0.249374i | \(0.919775\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.53085 | − | 14.3532i | −0.0927233 | − | 0.525860i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −3.49971 | + | 4.41050i | −0.128048 | + | 0.161372i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 9.45341 | − | 16.3738i | 0.345420 | − | 0.598285i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.60959 | + | 1.91823i | 0.0587347 | + | 0.0699973i | 0.794612 | − | 0.607118i | \(-0.207674\pi\) |
−0.735877 | + | 0.677115i | \(0.763230\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −4.45776 | − | 11.7450i | −0.162450 | − | 0.428010i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −1.18992 | + | 6.74835i | −0.0433055 | + | 0.245598i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.22987 | + | 2.63146i | −0.262774 | + | 0.0956419i | −0.470048 | − | 0.882641i | \(-0.655763\pi\) |
0.207273 | + | 0.978283i | \(0.433541\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 6.61212 | − | 40.7527i | 0.240005 | − | 1.47923i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 26.1918i | − | 0.949453i | −0.880133 | − | 0.474727i | \(-0.842547\pi\) | ||
0.880133 | − | 0.474727i | \(-0.157453\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.89312 | + | 16.1912i | 0.213345 | + | 0.586161i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 18.7103 | − | 34.5581i | 0.676473 | − | 1.24945i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −3.79097 | + | 2.18872i | −0.136884 | + | 0.0790301i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 35.3779 | − | 29.6856i | 1.27576 | − | 1.07049i | 0.281948 | − | 0.959430i | \(-0.409020\pi\) |
0.993814 | − | 0.111061i | \(-0.0354249\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 12.4392 | + | 10.1509i | 0.447987 | + | 0.365577i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 6.91607 | + | 2.51724i | 0.248754 | + | 0.0905390i | 0.463388 | − | 0.886156i | \(-0.346634\pi\) |
−0.214634 | + | 0.976695i | \(0.568856\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.721618 | + | 0.127241i | −0.0259213 | + | 0.00457062i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −7.90312 | − | 9.16100i | −0.283523 | − | 0.328649i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 27.6505 | + | 28.2739i | 0.990681 | + | 1.01302i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 24.7492 | − | 29.4949i | 0.885596 | − | 1.05541i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −10.6472 | − | 3.38726i | −0.380500 | − | 0.121051i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 14.8003 | − | 40.6635i | 0.528245 | − | 1.45134i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −15.0496 | − | 8.68891i | −0.536462 | − | 0.309726i | 0.207182 | − | 0.978302i | \(-0.433571\pi\) |
−0.743644 | + | 0.668576i | \(0.766904\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 5.28164 | − | 3.14650i | 0.188031 | − | 0.112018i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −17.3818 | − | 30.1061i | −0.618024 | − | 1.07045i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.63460 | − | 1.34619i | −0.271113 | − | 0.0478045i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 10.9571 | − | 2.08702i | 0.388609 | − | 0.0740191i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 4.12081 | 0.145966 | 0.0729832 | − | 0.997333i | \(-0.476748\pi\) | ||||
0.0729832 | + | 0.997333i | \(0.476748\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 59.2148 | 2.09487 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 18.5828 | − | 0.508726i | 0.656591 | − | 0.0179749i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −17.8432 | − | 3.14625i | −0.629674 | − | 0.111029i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 21.6413 | + | 37.4838i | 0.762754 | + | 1.32113i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −4.44187 | − | 7.45602i | −0.156361 | − | 0.262464i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 31.6692 | + | 18.2842i | 1.11343 | + | 0.642839i | 0.939716 | − | 0.341957i | \(-0.111090\pi\) |
0.173714 | + | 0.984796i | \(0.444423\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −12.5283 | + | 34.4211i | −0.439927 | + | 1.20869i | 0.499613 | + | 0.866249i | \(0.333476\pi\) |
−0.939540 | + | 0.342440i | \(0.888747\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 16.0175 | − | 0.219208i | 0.561758 | − | 0.00768795i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 9.00142 | − | 10.7275i | 0.315306 | − | 0.375767i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.61972 | − | 0.414709i | 0.0566670 | − | 0.0145088i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 7.89168 | − | 4.84895i | 0.275758 | − | 0.169436i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −40.6182 | + | 7.16208i | −1.41758 | + | 0.249958i | −0.829349 | − | 0.558732i | \(-0.811288\pi\) |
−0.588235 | + | 0.808690i | \(0.700177\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −40.6757 | − | 14.8047i | −1.41787 | − | 0.516061i | −0.484438 | − | 0.874826i | \(-0.660976\pi\) |
−0.933428 | + | 0.358765i | \(0.883198\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.383273 | − | 0.469673i | 0.0133439 | − | 0.0163519i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 17.4100 | − | 14.6087i | 0.605405 | − | 0.507995i | −0.287773 | − | 0.957699i | \(-0.592915\pi\) |
0.893178 | + | 0.449704i | \(0.148470\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −6.17465 | + | 3.56494i | −0.214455 | + | 0.123815i | −0.603380 | − | 0.797454i | \(-0.706180\pi\) |
0.388925 | + | 0.921269i | \(0.372846\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 12.4315 | + | 4.33298i | 0.431243 | + | 0.150309i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 3.04991 | + | 8.37957i | 0.105673 | + | 0.290335i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 9.88693i | − | 0.342151i | ||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 28.0588 | + | 14.6986i | 0.969855 | + | 0.508058i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 1.63571 | − | 0.595349i | 0.0564710 | − | 0.0205537i | −0.313630 | − | 0.949545i | \(-0.601545\pi\) |
0.370101 | + | 0.928991i | \(0.379323\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.23292 | + | 24.0061i | −0.145963 | + | 0.827797i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −23.3307 | + | 8.85508i | −0.803551 | + | 0.304985i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 16.3689 | + | 19.5077i | 0.563107 | + | 0.671084i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.94626 | − | 5.10308i | 0.101235 | − | 0.175344i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 8.37983 | − | 14.9842i | 0.287595 | − | 0.514255i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 4.24974 | + | 24.1015i | 0.145679 | + | 0.826187i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −22.0984 | − | 18.5427i | −0.756634 | − | 0.634891i | 0.180614 | − | 0.983554i | \(-0.442191\pi\) |
−0.937248 | + | 0.348663i | \(0.886636\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −17.3629 | − | 23.9600i | −0.593800 | − | 0.819415i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 9.31787 | + | 7.81862i | 0.318292 | + | 0.267079i | 0.787909 | − | 0.615791i | \(-0.211164\pi\) |
−0.469617 | + | 0.882870i | \(0.655608\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −3.16859 | − | 17.9700i | −0.108111 | − | 0.613127i | −0.989932 | − | 0.141543i | \(-0.954794\pi\) |
0.881821 | − | 0.471584i | \(-0.156318\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −17.9221 | + | 32.0469i | −0.610783 | + | 1.09216i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −22.3079 | + | 38.6385i | −0.759371 | + | 1.31527i | 0.183800 | + | 0.982964i | \(0.441160\pi\) |
−0.943172 | + | 0.332306i | \(0.892173\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 21.6674 | + | 25.8223i | 0.736715 | + | 0.877983i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 26.7399 | − | 10.1490i | 0.908135 | − | 0.344679i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −2.62504 | + | 14.8873i | −0.0890483 | + | 0.505018i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −20.1593 | + | 7.33738i | −0.683072 | + | 0.248618i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −9.05069 | + | 27.1570i | −0.306320 | + | 0.919124i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | − | 25.8004i | − | 0.872212i | ||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.46003 | − | 4.01139i | −0.0493016 | − | 0.135455i | 0.912598 | − | 0.408858i | \(-0.134073\pi\) |
−0.961900 | + | 0.273403i | \(0.911851\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −13.4514 | − | 4.68845i | −0.453703 | − | 0.158138i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −9.81390 | + | 5.66606i | −0.330639 | + | 0.190894i | −0.656125 | − | 0.754653i | \(-0.727805\pi\) |
0.325486 | + | 0.945547i | \(0.394472\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −30.0308 | + | 25.1988i | −1.01062 | + | 0.848008i | −0.988420 | − | 0.151746i | \(-0.951511\pi\) |
−0.0221970 | + | 0.999754i | \(0.507066\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −8.20901 | + | 10.0595i | −0.275943 | + | 0.338147i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −38.4635 | − | 13.9996i | −1.29148 | − | 0.470059i | −0.397266 | − | 0.917704i | \(-0.630041\pi\) |
−0.894212 | + | 0.447644i | \(0.852263\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 17.0927 | − | 3.01390i | 0.573269 | − | 0.101083i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −25.5198 | + | 5.95568i | −0.854945 | + | 0.199523i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 19.2922 | − | 40.1963i | 0.645590 | − | 1.34512i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −4.88744 | + | 5.82462i | −0.163369 | + | 0.194696i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −18.7338 | + | 0.256382i | −0.625505 | + | 0.00856036i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −4.48316 | + | 12.3174i | −0.149522 | + | 0.410807i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14.2681 | + | 8.23770i | 0.475340 | + | 0.274438i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.794506 | + | 1.33364i | 0.0264395 | + | 0.0443808i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 22.4780 | + | 38.9330i | 0.747193 | + | 1.29418i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 21.5815 | + | 3.80540i | 0.716602 | + | 0.126356i | 0.520049 | − | 0.854137i | \(-0.325914\pi\) |
0.196554 | + | 0.980493i | \(0.437025\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −1.02761 | − | 37.5368i | −0.0340838 | − | 1.24502i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 41.3461 | 1.36986 | 0.684928 | − | 0.728610i | \(-0.259833\pi\) | ||||
0.684928 | + | 0.728610i | \(0.259833\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.46465 | −0.180853 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −22.5882 | + | 4.30242i | −0.746743 | + | 0.142234i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 40.9558 | + | 7.22161i | 1.35248 | + | 0.238479i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 15.0651 | + | 26.0936i | 0.496953 | + | 0.860748i | 0.999994 | − | 0.00351494i | \(-0.00111884\pi\) |
−0.503041 | + | 0.864263i | \(0.667786\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −15.1034 | + | 8.99773i | −0.497673 | + | 0.296485i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −15.1319 | − | 8.73639i | −0.498071 | − | 0.287562i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.122905 | + | 0.337677i | −0.00404108 | + | 0.0111028i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 26.0179 | + | 3.85677i | 0.854539 | + | 0.126673i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −3.69874 | + | 4.40799i | −0.121352 | + | 0.144621i | −0.823300 | − | 0.567607i | \(-0.807869\pi\) |
0.701948 | + | 0.712228i | \(0.252314\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.68190 | + | 0.659722i | 0.218991 | + | 0.0216215i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −13.0422 | − | 15.1180i | −0.426983 | − | 0.494942i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 37.5622 | − | 6.62323i | 1.22842 | − | 0.216603i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −19.6146 | − | 7.13914i | −0.640782 | − | 0.233226i | 0.00113542 | − | 0.999999i | \(-0.499639\pi\) |
−0.641917 | + | 0.766774i | \(0.721861\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 4.02275 | + | 3.28274i | 0.131278 | + | 0.107128i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 13.7670 | − | 11.5519i | 0.448792 | − | 0.376581i | −0.390196 | − | 0.920732i | \(-0.627593\pi\) |
0.838987 | + | 0.544151i | \(0.183148\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 64.3213 | − | 37.1359i | 2.09459 | − | 1.20931i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 16.7807 | − | 21.7526i | 0.545875 | − | 0.707612i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −3.35631 | − | 9.22139i | −0.109065 | − | 0.299655i | 0.873139 | − | 0.487472i | \(-0.162081\pi\) |
−0.982204 | + | 0.187817i | \(0.939859\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.22225i | 0.266906i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 4.56110 | − | 28.1116i | 0.147904 | − | 0.911581i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −9.56813 | + | 3.48251i | −0.309942 | + | 0.112810i | −0.492308 | − | 0.870421i | \(-0.663847\pi\) |
0.182366 | + | 0.983231i | \(0.441624\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.02146 | − | 22.8068i | 0.130131 | − | 0.738012i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −3.84805 | − | 10.1385i | −0.124390 | − | 0.327733i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 24.6680 | + | 29.3982i | 0.796571 | + | 0.949316i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.08051 | − | 5.33561i | 0.0993714 | − | 0.172116i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 19.0158 | + | 15.0889i | 0.612774 | + | 0.486234i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −0.901436 | − | 5.11230i | −0.0290183 | − | 0.164571i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −34.6570 | − | 29.0807i | −1.11449 | − | 0.935171i | −0.116180 | − | 0.993228i | \(-0.537065\pi\) |
−0.998313 | + | 0.0580574i | \(0.981509\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 3.69876 | − | 43.5494i | 0.118821 | − | 1.39901i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −11.6835 | − | 9.80361i | −0.374941 | − | 0.314613i | 0.435772 | − | 0.900057i | \(-0.356476\pi\) |
−0.810712 | + | 0.585444i | \(0.800920\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.84462 | + | 44.4890i | 0.251487 | + | 1.42625i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.240104 | − | 0.134277i | −0.00768949 | − | 0.00430031i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −29.3626 | + | 50.8576i | −0.939394 | + | 1.62708i | −0.172789 | + | 0.984959i | \(0.555278\pi\) |
−0.766605 | + | 0.642119i | \(0.778055\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 11.5977 | + | 13.8216i | 0.370663 | + | 0.441739i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −21.6731 | + | 4.43629i | −0.691969 | + | 0.141640i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −6.80396 | + | 38.5872i | −0.217013 | + | 1.23074i | 0.660367 | + | 0.750943i | \(0.270401\pi\) |
−0.877380 | + | 0.479797i | \(0.840710\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 13.4259 | − | 4.88664i | 0.427786 | − | 0.155701i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 40.8624 | + | 6.62991i | 1.30066 | + | 0.211033i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 3.14008i | − | 0.0998486i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 13.8647 | + | 38.0930i | 0.440428 | + | 1.21007i | 0.939212 | + | 0.343339i | \(0.111558\pi\) |
−0.498784 | + | 0.866726i | \(0.666220\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0.995324 | − | 2.85562i | 0.0315856 | − | 0.0906205i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 20.3690 | − | 11.7601i | 0.645742 | − | 0.372819i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 46.7056 | − | 39.1907i | 1.47918 | − | 1.24118i | 0.572131 | − | 0.820162i | \(-0.306117\pi\) |
0.907052 | − | 0.421019i | \(-0.138327\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 13.1228 | − | 8.31264i | 0.415187 | − | 0.263000i |
(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 | 912.2.cc.c.497.2 | 18 | ||
3.2 | odd | 2 | 912.2.cc.d.497.2 | 18 | |||
4.3 | odd | 2 | 114.2.l.b.41.2 | yes | 18 | ||
12.11 | even | 2 | 114.2.l.a.41.2 | ✓ | 18 | ||
19.13 | odd | 18 | 912.2.cc.d.545.2 | 18 | |||
57.32 | even | 18 | inner | 912.2.cc.c.545.2 | 18 | ||
76.51 | even | 18 | 114.2.l.a.89.2 | yes | 18 | ||
228.203 | odd | 18 | 114.2.l.b.89.2 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.l.a.41.2 | ✓ | 18 | 12.11 | even | 2 | ||
114.2.l.a.89.2 | yes | 18 | 76.51 | even | 18 | ||
114.2.l.b.41.2 | yes | 18 | 4.3 | odd | 2 | ||
114.2.l.b.89.2 | yes | 18 | 228.203 | odd | 18 | ||
912.2.cc.c.497.2 | 18 | 1.1 | even | 1 | trivial | ||
912.2.cc.c.545.2 | 18 | 57.32 | even | 18 | inner | ||
912.2.cc.d.497.2 | 18 | 3.2 | odd | 2 | |||
912.2.cc.d.545.2 | 18 | 19.13 | odd | 18 |