Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [57,2,Mod(2,57)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(57, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("57.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 57 = 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 57.j (of order \(18\), 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: | \(0.455147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 14.3 | ||
Character | \(\chi\) | \(=\) | 57.14 |
Dual form | 57.2.j.b.53.3 |
$q$-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 \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(40\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.886259 | − | 0.322572i | 0.626679 | − | 0.228093i | −0.00910593 | − | 0.999959i | \(-0.502899\pi\) |
0.635785 | + | 0.771866i | \(0.280676\pi\) | |||||||
\(3\) | −0.292097 | − | 1.70724i | −0.168642 | − | 0.985677i | ||||
\(4\) | −0.850687 | + | 0.713811i | −0.425344 | + | 0.356906i | ||||
\(5\) | 0.485824 | − | 0.578982i | 0.217267 | − | 0.258929i | −0.646392 | − | 0.763006i | \(-0.723723\pi\) |
0.863659 | + | 0.504077i | \(0.168167\pi\) | |||||||
\(6\) | −0.809582 | − | 1.41884i | −0.330511 | − | 0.579238i | ||||
\(7\) | 1.38278 | + | 2.39504i | 0.522640 | + | 0.905239i | 0.999653 | + | 0.0263430i | \(0.00838621\pi\) |
−0.477013 | + | 0.878896i | \(0.658280\pi\) | |||||||
\(8\) | −1.46681 | + | 2.54059i | −0.518596 | + | 0.898234i | ||||
\(9\) | −2.82936 | + | 0.997362i | −0.943119 | + | 0.332454i | ||||
\(10\) | 0.243802 | − | 0.669841i | 0.0770971 | − | 0.211822i | ||||
\(11\) | −2.28018 | − | 1.31646i | −0.687501 | − | 0.396929i | 0.115174 | − | 0.993345i | \(-0.463257\pi\) |
−0.802675 | + | 0.596417i | \(0.796591\pi\) | |||||||
\(12\) | 1.46713 | + | 1.24383i | 0.423525 | + | 0.359062i | ||||
\(13\) | 1.90254 | − | 0.335470i | 0.527670 | − | 0.0930425i | 0.0965347 | − | 0.995330i | \(-0.469224\pi\) |
0.431136 | + | 0.902287i | \(0.358113\pi\) | |||||||
\(14\) | 1.99807 | + | 1.67658i | 0.534006 | + | 0.448085i | ||||
\(15\) | −1.13037 | − | 0.660300i | −0.291861 | − | 0.170489i | ||||
\(16\) | −0.0947805 | + | 0.537527i | −0.0236951 | + | 0.134382i | ||||
\(17\) | 0.220652 | + | 0.606237i | 0.0535160 | + | 0.147034i | 0.963570 | − | 0.267455i | \(-0.0861826\pi\) |
−0.910054 | + | 0.414489i | \(0.863960\pi\) | |||||||
\(18\) | −2.18582 | + | 1.79659i | −0.515203 | + | 0.423461i | ||||
\(19\) | −1.94082 | − | 3.90298i | −0.445254 | − | 0.895404i | ||||
\(20\) | 0.839319i | 0.187678i | ||||||||
\(21\) | 3.68501 | − | 3.06032i | 0.804135 | − | 0.667816i | ||||
\(22\) | −2.44549 | − | 0.431205i | −0.521379 | − | 0.0919332i | ||||
\(23\) | −5.61638 | − | 6.69334i | −1.17110 | − | 1.39566i | −0.901553 | − | 0.432668i | \(-0.857572\pi\) |
−0.269542 | − | 0.962989i | \(-0.586872\pi\) | |||||||
\(24\) | 4.76586 | + | 1.76210i | 0.972826 | + | 0.359688i | ||||
\(25\) | 0.769045 | + | 4.36147i | 0.153809 | + | 0.872294i | ||||
\(26\) | 1.57793 | − | 0.911019i | 0.309458 | − | 0.178666i | ||||
\(27\) | 2.52919 | + | 4.53908i | 0.486742 | + | 0.873546i | ||||
\(28\) | −2.88591 | − | 1.05039i | −0.545387 | − | 0.198504i | ||||
\(29\) | 8.33804 | + | 3.03480i | 1.54834 | + | 0.563548i | 0.968026 | − | 0.250849i | \(-0.0807096\pi\) |
0.580309 | + | 0.814397i | \(0.302932\pi\) | |||||||
\(30\) | −1.21480 | − | 0.220571i | −0.221790 | − | 0.0402706i | ||||
\(31\) | 2.10245 | − | 1.21385i | 0.377611 | − | 0.218014i | −0.299167 | − | 0.954201i | \(-0.596709\pi\) |
0.676778 | + | 0.736187i | \(0.263375\pi\) | |||||||
\(32\) | −0.929445 | − | 5.27114i | −0.164304 | − | 0.931815i | ||||
\(33\) | −1.58149 | + | 4.27736i | −0.275302 | + | 0.744593i | ||||
\(34\) | 0.391110 | + | 0.466106i | 0.0670747 | + | 0.0799366i | ||||
\(35\) | 2.05847 | + | 0.362964i | 0.347945 | + | 0.0613521i | ||||
\(36\) | 1.69497 | − | 2.86807i | 0.282495 | − | 0.478012i | ||||
\(37\) | − | 6.09943i | − | 1.00274i | −0.865233 | − | 0.501370i | \(-0.832829\pi\) | ||
0.865233 | − | 0.501370i | \(-0.167171\pi\) | |||||||
\(38\) | −2.97906 | − | 2.83300i | −0.483267 | − | 0.459573i | ||||
\(39\) | −1.12846 | − | 3.15011i | −0.180698 | − | 0.504422i | ||||
\(40\) | 0.758345 | + | 2.08354i | 0.119905 | + | 0.329436i | ||||
\(41\) | −0.930968 | + | 5.27978i | −0.145393 | + | 0.824564i | 0.821658 | + | 0.569981i | \(0.193049\pi\) |
−0.967051 | + | 0.254583i | \(0.918062\pi\) | |||||||
\(42\) | 2.27870 | − | 3.90091i | 0.351611 | − | 0.601924i | ||||
\(43\) | −1.12968 | − | 0.947914i | −0.172275 | − | 0.144556i | 0.552574 | − | 0.833464i | \(-0.313646\pi\) |
−0.724848 | + | 0.688908i | \(0.758090\pi\) | |||||||
\(44\) | 2.87943 | − | 0.507721i | 0.434090 | − | 0.0765418i | ||||
\(45\) | −0.797115 | + | 2.12269i | −0.118827 | + | 0.316432i | ||||
\(46\) | −7.13664 | − | 4.12034i | −1.05224 | − | 0.607511i | ||||
\(47\) | −3.48030 | + | 9.56204i | −0.507653 | + | 1.39477i | 0.375998 | + | 0.926621i | \(0.377300\pi\) |
−0.883651 | + | 0.468146i | \(0.844922\pi\) | |||||||
\(48\) | 0.945374 | + | 0.00480320i | 0.136453 | + | 0.000693282i | ||||
\(49\) | −0.324139 | + | 0.561425i | −0.0463055 | + | 0.0802035i | ||||
\(50\) | 2.08846 | + | 3.61732i | 0.295353 | + | 0.511566i | ||||
\(51\) | 0.970541 | − | 0.553787i | 0.135903 | − | 0.0775457i | ||||
\(52\) | −1.37901 | + | 1.64344i | −0.191234 | + | 0.227904i | ||||
\(53\) | −4.16382 | + | 3.49386i | −0.571945 | + | 0.479919i | −0.882291 | − | 0.470705i | \(-0.844000\pi\) |
0.310346 | + | 0.950624i | \(0.399555\pi\) | |||||||
\(54\) | 3.70569 | + | 3.20695i | 0.504281 | + | 0.436411i | ||||
\(55\) | −1.86998 | + | 0.680616i | −0.252148 | + | 0.0917742i | ||||
\(56\) | −8.11308 | −1.08416 | ||||||||
\(57\) | −6.09642 | + | 4.45349i | −0.807491 | + | 0.589880i | ||||
\(58\) | 8.36860 | 1.09885 | ||||||||
\(59\) | 7.06560 | − | 2.57167i | 0.919863 | − | 0.334803i | 0.161679 | − | 0.986843i | \(-0.448309\pi\) |
0.758184 | + | 0.652041i | \(0.226087\pi\) | |||||||
\(60\) | 1.43292 | − | 0.245163i | 0.184989 | − | 0.0316504i | ||||
\(61\) | −1.37444 | + | 1.15329i | −0.175979 | + | 0.147664i | −0.726523 | − | 0.687142i | \(-0.758865\pi\) |
0.550544 | + | 0.834806i | \(0.314420\pi\) | |||||||
\(62\) | 1.47176 | − | 1.75398i | 0.186914 | − | 0.222755i | ||||
\(63\) | −6.30109 | − | 5.39729i | −0.793863 | − | 0.679995i | ||||
\(64\) | −3.06987 | − | 5.31717i | −0.383734 | − | 0.664646i | ||||
\(65\) | 0.730070 | − | 1.26452i | 0.0905540 | − | 0.156844i | ||||
\(66\) | −0.0218522 | + | 4.30099i | −0.00268982 | + | 0.529415i | ||||
\(67\) | −3.35090 | + | 9.20653i | −0.409378 | + | 1.12476i | 0.548141 | + | 0.836386i | \(0.315336\pi\) |
−0.957519 | + | 0.288371i | \(0.906886\pi\) | |||||||
\(68\) | −0.620444 | − | 0.358214i | −0.0752399 | − | 0.0434398i | ||||
\(69\) | −9.78662 | + | 11.5436i | −1.17817 | + | 1.38969i | ||||
\(70\) | 1.94142 | − | 0.342325i | 0.232044 | − | 0.0409156i | ||||
\(71\) | −2.08521 | − | 1.74970i | −0.247469 | − | 0.207651i | 0.510613 | − | 0.859811i | \(-0.329419\pi\) |
−0.758082 | + | 0.652160i | \(0.773863\pi\) | |||||||
\(72\) | 1.61624 | − | 8.65118i | 0.190476 | − | 1.01955i | ||||
\(73\) | 0.952144 | − | 5.39988i | 0.111440 | − | 0.632008i | −0.877011 | − | 0.480470i | \(-0.840466\pi\) |
0.988451 | − | 0.151538i | \(-0.0484226\pi\) | |||||||
\(74\) | −1.96750 | − | 5.40567i | −0.228718 | − | 0.628397i | ||||
\(75\) | 7.22146 | − | 2.58692i | 0.833862 | − | 0.298712i | ||||
\(76\) | 4.43702 | + | 1.93484i | 0.508961 | + | 0.221941i | ||||
\(77\) | − | 7.28150i | − | 0.829804i | ||||||
\(78\) | −2.01624 | − | 2.42781i | −0.228294 | − | 0.274895i | ||||
\(79\) | 9.22088 | + | 1.62589i | 1.03743 | + | 0.182927i | 0.666323 | − | 0.745663i | \(-0.267867\pi\) |
0.371107 | + | 0.928590i | \(0.378978\pi\) | |||||||
\(80\) | 0.265172 | + | 0.316020i | 0.0296471 | + | 0.0353321i | ||||
\(81\) | 7.01054 | − | 5.64379i | 0.778949 | − | 0.627088i | ||||
\(82\) | 0.878031 | + | 4.97956i | 0.0969622 | + | 0.549900i | ||||
\(83\) | 7.02840 | − | 4.05785i | 0.771467 | − | 0.445406i | −0.0619310 | − | 0.998080i | \(-0.519726\pi\) |
0.833398 | + | 0.552674i | \(0.186393\pi\) | |||||||
\(84\) | −0.950298 | + | 5.23377i | −0.103686 | + | 0.571051i | ||||
\(85\) | 0.458198 | + | 0.166771i | 0.0496986 | + | 0.0180888i | ||||
\(86\) | −1.30696 | − | 0.475694i | −0.140933 | − | 0.0512954i | ||||
\(87\) | 2.74562 | − | 15.1215i | 0.294361 | − | 1.62120i | ||||
\(88\) | 6.68919 | − | 3.86200i | 0.713070 | − | 0.411691i | ||||
\(89\) | 0.233188 | + | 1.32248i | 0.0247179 | + | 0.140182i | 0.994669 | − | 0.103117i | \(-0.0328815\pi\) |
−0.969951 | + | 0.243299i | \(0.921770\pi\) | |||||||
\(90\) | −0.0217297 | + | 2.13838i | −0.00229051 | + | 0.225405i | ||||
\(91\) | 3.43425 | + | 4.09278i | 0.360008 | + | 0.429040i | ||||
\(92\) | 9.55556 | + | 1.68490i | 0.996236 | + | 0.175663i | ||||
\(93\) | −2.68646 | − | 3.23483i | −0.278573 | − | 0.335436i | ||||
\(94\) | 9.59708i | 0.989863i | ||||||||
\(95\) | −3.20265 | − | 0.772462i | −0.328585 | − | 0.0792529i | ||||
\(96\) | −8.72763 | + | 3.12647i | −0.890760 | + | 0.319094i | ||||
\(97\) | 4.64863 | + | 12.7720i | 0.471997 | + | 1.29680i | 0.916145 | + | 0.400847i | \(0.131284\pi\) |
−0.444148 | + | 0.895953i | \(0.646494\pi\) | |||||||
\(98\) | −0.106171 | + | 0.602125i | −0.0107249 | + | 0.0608239i | ||||
\(99\) | 7.76444 | + | 1.45058i | 0.780356 | + | 0.145789i | ||||
\(100\) | −3.76748 | − | 3.16129i | −0.376748 | − | 0.316129i | ||||
\(101\) | −2.06421 | + | 0.363975i | −0.205396 | + | 0.0362169i | −0.275400 | − | 0.961330i | \(-0.588810\pi\) |
0.0700033 | + | 0.997547i | \(0.477699\pi\) | |||||||
\(102\) | 0.681515 | − | 0.803868i | 0.0674800 | − | 0.0795948i | ||||
\(103\) | −10.4189 | − | 6.01535i | −1.02660 | − | 0.592710i | −0.110594 | − | 0.993866i | \(-0.535275\pi\) |
−0.916010 | + | 0.401155i | \(0.868609\pi\) | |||||||
\(104\) | −1.93838 | + | 5.32565i | −0.190074 | + | 0.522223i | ||||
\(105\) | 0.0183940 | − | 3.62033i | 0.00179507 | − | 0.353308i | ||||
\(106\) | −2.56320 | + | 4.43960i | −0.248960 | + | 0.431212i | ||||
\(107\) | −3.41283 | − | 5.91119i | −0.329930 | − | 0.571456i | 0.652567 | − | 0.757731i | \(-0.273692\pi\) |
−0.982498 | + | 0.186275i | \(0.940359\pi\) | |||||||
\(108\) | −5.39159 | − | 2.05597i | −0.518806 | − | 0.197836i | ||||
\(109\) | 7.55399 | − | 9.00250i | 0.723541 | − | 0.862283i | −0.271429 | − | 0.962459i | \(-0.587496\pi\) |
0.994970 | + | 0.100176i | \(0.0319405\pi\) | |||||||
\(110\) | −1.43774 | + | 1.20640i | −0.137083 | + | 0.115026i | ||||
\(111\) | −10.4132 | + | 1.78163i | −0.988379 | + | 0.169105i | ||||
\(112\) | −1.41846 | + | 0.516276i | −0.134032 | + | 0.0487835i | ||||
\(113\) | 1.98486 | 0.186720 | 0.0933599 | − | 0.995632i | \(-0.470239\pi\) | ||||
0.0933599 | + | 0.995632i | \(0.470239\pi\) | |||||||
\(114\) | −3.96644 | + | 5.91348i | −0.371491 | + | 0.553848i | ||||
\(115\) | −6.60389 | −0.615816 | ||||||||
\(116\) | −9.25934 | + | 3.37012i | −0.859708 | + | 0.312908i | ||||
\(117\) | −5.04839 | + | 2.84669i | −0.466724 | + | 0.263176i | ||||
\(118\) | 5.43240 | − | 4.55833i | 0.500093 | − | 0.419628i | ||||
\(119\) | −1.14685 | + | 1.36676i | −0.105131 | + | 0.125291i | ||||
\(120\) | 3.33559 | − | 1.90328i | 0.304497 | − | 0.173744i | ||||
\(121\) | −2.03385 | − | 3.52273i | −0.184895 | − | 0.320248i | ||||
\(122\) | −0.846091 | + | 1.46547i | −0.0766015 | + | 0.132678i | ||||
\(123\) | 9.28581 | + | 0.0471788i | 0.837273 | + | 0.00425397i | ||||
\(124\) | −0.922067 | + | 2.53336i | −0.0828041 | + | 0.227502i | ||||
\(125\) | 6.17158 | + | 3.56316i | 0.552003 | + | 0.318699i | ||||
\(126\) | −7.32541 | − | 2.75084i | −0.652599 | − | 0.245065i | ||||
\(127\) | −11.1687 | + | 1.96935i | −0.991065 | + | 0.174751i | −0.645596 | − | 0.763679i | \(-0.723391\pi\) |
−0.345468 | + | 0.938430i | \(0.612280\pi\) | |||||||
\(128\) | 3.76458 | + | 3.15885i | 0.332745 | + | 0.279206i | ||||
\(129\) | −1.28834 | + | 2.20552i | −0.113432 | + | 0.194185i | ||||
\(130\) | 0.239133 | − | 1.35619i | 0.0209733 | − | 0.118946i | ||||
\(131\) | 6.23539 | + | 17.1316i | 0.544789 | + | 1.49679i | 0.840658 | + | 0.541566i | \(0.182168\pi\) |
−0.295869 | + | 0.955228i | \(0.595609\pi\) | |||||||
\(132\) | −1.70788 | − | 4.76758i | −0.148652 | − | 0.414965i | ||||
\(133\) | 6.66407 | − | 10.0453i | 0.577848 | − | 0.871035i | ||||
\(134\) | 9.24028i | 0.798238i | ||||||||
\(135\) | 3.85679 | + | 0.740837i | 0.331939 | + | 0.0637611i | ||||
\(136\) | −1.86385 | − | 0.328648i | −0.159824 | − | 0.0281813i | ||||
\(137\) | −5.03788 | − | 6.00391i | −0.430415 | − | 0.512949i | 0.506627 | − | 0.862165i | \(-0.330892\pi\) |
−0.937042 | + | 0.349217i | \(0.886448\pi\) | |||||||
\(138\) | −4.94983 | + | 13.3875i | −0.421358 | + | 1.13962i | ||||
\(139\) | −0.0146771 | − | 0.0832380i | −0.00124490 | − | 0.00706015i | 0.984179 | − | 0.177177i | \(-0.0566966\pi\) |
−0.985424 | + | 0.170117i | \(0.945585\pi\) | |||||||
\(140\) | −2.01020 | + | 1.16059i | −0.169893 | + | 0.0980878i | ||||
\(141\) | 17.3413 | + | 3.14867i | 1.46040 | + | 0.265166i | ||||
\(142\) | −2.41244 | − | 0.878056i | −0.202447 | − | 0.0736849i | ||||
\(143\) | −4.77978 | − | 1.73970i | −0.399705 | − | 0.145481i | ||||
\(144\) | −0.267941 | − | 1.61539i | −0.0223284 | − | 0.134615i | ||||
\(145\) | 5.80791 | − | 3.35320i | 0.482321 | − | 0.278468i | ||||
\(146\) | −0.898002 | − | 5.09282i | −0.0743192 | − | 0.421485i | ||||
\(147\) | 1.05317 | + | 0.389393i | 0.0868639 | + | 0.0321166i | ||||
\(148\) | 4.35384 | + | 5.18871i | 0.357884 | + | 0.426509i | ||||
\(149\) | −11.7508 | − | 2.07199i | −0.962664 | − | 0.169744i | −0.329838 | − | 0.944038i | \(-0.606994\pi\) |
−0.632826 | + | 0.774294i | \(0.718105\pi\) | |||||||
\(150\) | 5.56561 | − | 4.62212i | 0.454430 | − | 0.377394i | ||||
\(151\) | − | 2.63924i | − | 0.214778i | −0.994217 | − | 0.107389i | \(-0.965751\pi\) | ||
0.994217 | − | 0.107389i | \(-0.0342491\pi\) | |||||||
\(152\) | 12.7627 | + | 0.794111i | 1.03519 | + | 0.0644109i | ||||
\(153\) | −1.22894 | − | 1.49519i | −0.0993540 | − | 0.120879i | ||||
\(154\) | −2.34881 | − | 6.45329i | −0.189272 | − | 0.520021i | ||||
\(155\) | 0.318623 | − | 1.80700i | 0.0255924 | − | 0.145142i | ||||
\(156\) | 3.20855 | + | 1.87426i | 0.256890 | + | 0.150061i | ||||
\(157\) | −10.0279 | − | 8.41440i | −0.800313 | − | 0.671543i | 0.147962 | − | 0.988993i | \(-0.452729\pi\) |
−0.948275 | + | 0.317451i | \(0.897173\pi\) | |||||||
\(158\) | 8.69655 | − | 1.53344i | 0.691861 | − | 0.121994i | ||||
\(159\) | 7.18111 | + | 6.08811i | 0.569499 | + | 0.482818i | ||||
\(160\) | −3.50345 | − | 2.02272i | −0.276972 | − | 0.159910i | ||||
\(161\) | 8.26461 | − | 22.7068i | 0.651342 | − | 1.78955i | ||||
\(162\) | 4.39262 | − | 7.26326i | 0.345117 | − | 0.570656i | ||||
\(163\) | −10.9580 | + | 18.9799i | −0.858299 | + | 1.48662i | 0.0152513 | + | 0.999884i | \(0.495145\pi\) |
−0.873550 | + | 0.486734i | \(0.838188\pi\) | |||||||
\(164\) | −2.97681 | − | 5.15598i | −0.232450 | − | 0.402614i | ||||
\(165\) | 1.70819 | + | 2.99370i | 0.132983 | + | 0.233059i | ||||
\(166\) | 4.92003 | − | 5.86346i | 0.381868 | − | 0.455093i | ||||
\(167\) | −0.977437 | + | 0.820167i | −0.0756363 | + | 0.0634664i | −0.679822 | − | 0.733377i | \(-0.737943\pi\) |
0.604186 | + | 0.796844i | \(0.293499\pi\) | |||||||
\(168\) | 2.36981 | + | 13.8510i | 0.182835 | + | 1.06863i | ||||
\(169\) | −8.70887 | + | 3.16977i | −0.669913 | + | 0.243829i | ||||
\(170\) | 0.459878 | 0.0352710 | ||||||||
\(171\) | 9.38395 | + | 9.10723i | 0.717608 | + | 0.696447i | ||||
\(172\) | 1.63764 | 0.124869 | ||||||||
\(173\) | −2.84010 | + | 1.03371i | −0.215929 | + | 0.0785917i | −0.447720 | − | 0.894174i | \(-0.647764\pi\) |
0.231791 | + | 0.972766i | \(0.425542\pi\) | |||||||
\(174\) | −2.44445 | − | 14.2872i | −0.185313 | − | 1.08311i | ||||
\(175\) | −9.38247 | + | 7.87283i | −0.709248 | + | 0.595130i | ||||
\(176\) | 0.923751 | − | 1.10088i | 0.0696304 | − | 0.0829822i | ||||
\(177\) | −6.45431 | − | 11.3115i | −0.485135 | − | 0.850226i | ||||
\(178\) | 0.633259 | + | 1.09684i | 0.0474647 | + | 0.0822113i | ||||
\(179\) | 6.00020 | − | 10.3927i | 0.448476 | − | 0.776784i | −0.549811 | − | 0.835289i | \(-0.685300\pi\) |
0.998287 | + | 0.0585055i | \(0.0186335\pi\) | |||||||
\(180\) | −0.837106 | − | 2.37474i | −0.0623942 | − | 0.177002i | ||||
\(181\) | 2.65765 | − | 7.30183i | 0.197542 | − | 0.542741i | −0.800885 | − | 0.598818i | \(-0.795637\pi\) |
0.998426 | + | 0.0560773i | \(0.0178593\pi\) | |||||||
\(182\) | 4.36385 | + | 2.51947i | 0.323470 | + | 0.186756i | ||||
\(183\) | 2.37042 | + | 2.00963i | 0.175227 | + | 0.148556i | ||||
\(184\) | 25.2432 | − | 4.45105i | 1.86095 | − | 0.328136i | ||||
\(185\) | −3.53146 | − | 2.96325i | −0.259638 | − | 0.217863i | ||||
\(186\) | −3.42436 | − | 2.00032i | −0.251086 | − | 0.146671i | ||||
\(187\) | 0.294962 | − | 1.67281i | 0.0215697 | − | 0.122328i | ||||
\(188\) | −3.86485 | − | 10.6186i | −0.281873 | − | 0.774439i | ||||
\(189\) | −7.37396 | + | 12.3340i | −0.536377 | + | 0.897168i | ||||
\(190\) | −3.08755 | + | 0.348484i | −0.223994 | + | 0.0252817i | ||||
\(191\) | 1.07540i | 0.0778132i | 0.999243 | + | 0.0389066i | \(0.0123875\pi\) | ||||
−0.999243 | + | 0.0389066i | \(0.987613\pi\) | |||||||
\(192\) | −8.18100 | + | 6.79414i | −0.590413 | + | 0.490325i | ||||
\(193\) | −1.90955 | − | 0.336705i | −0.137452 | − | 0.0242366i | 0.104499 | − | 0.994525i | \(-0.466676\pi\) |
−0.241951 | + | 0.970288i | \(0.577787\pi\) | |||||||
\(194\) | 8.23978 | + | 9.81978i | 0.591581 | + | 0.705019i | ||||
\(195\) | −2.37209 | − | 0.877045i | −0.169869 | − | 0.0628065i | ||||
\(196\) | −0.125011 | − | 0.708971i | −0.00892933 | − | 0.0506408i | ||||
\(197\) | −13.7608 | + | 7.94478i | −0.980414 | + | 0.566042i | −0.902395 | − | 0.430910i | \(-0.858193\pi\) |
−0.0780187 | + | 0.996952i | \(0.524859\pi\) | |||||||
\(198\) | 7.34922 | − | 1.21900i | 0.522286 | − | 0.0866306i | ||||
\(199\) | −2.60596 | − | 0.948493i | −0.184732 | − | 0.0672369i | 0.247998 | − | 0.968761i | \(-0.420227\pi\) |
−0.432730 | + | 0.901524i | \(0.642450\pi\) | |||||||
\(200\) | −12.2088 | − | 4.44362i | −0.863289 | − | 0.314212i | ||||
\(201\) | 16.6966 | + | 3.03161i | 1.17769 | + | 0.213833i | ||||
\(202\) | −1.71201 | + | 0.988431i | −0.120457 | + | 0.0695458i | ||||
\(203\) | 4.26118 | + | 24.1664i | 0.299076 | + | 1.69615i | ||||
\(204\) | −0.430328 | + | 1.16388i | −0.0301290 | + | 0.0814881i | ||||
\(205\) | 2.60462 | + | 3.10406i | 0.181914 | + | 0.216797i | ||||
\(206\) | −11.1742 | − | 1.97032i | −0.778545 | − | 0.137278i | ||||
\(207\) | 22.5664 | + | 13.3363i | 1.56847 | + | 0.926936i | ||||
\(208\) | 1.05446i | 0.0731139i | ||||||||
\(209\) | −0.712715 | + | 11.4545i | −0.0492996 | + | 0.792325i | ||||
\(210\) | −1.15151 | − | 3.21448i | −0.0794621 | − | 0.221820i | ||||
\(211\) | −4.07334 | − | 11.1914i | −0.280420 | − | 0.770449i | −0.997313 | − | 0.0732647i | \(-0.976658\pi\) |
0.716892 | − | 0.697184i | \(-0.245564\pi\) | |||||||
\(212\) | 1.04815 | − | 5.94436i | 0.0719874 | − | 0.408261i | ||||
\(213\) | −2.37808 | + | 4.07105i | −0.162943 | + | 0.278943i | ||||
\(214\) | −4.93143 | − | 4.13796i | −0.337105 | − | 0.282865i | ||||
\(215\) | −1.09765 | + | 0.193546i | −0.0748592 | + | 0.0131997i | ||||
\(216\) | −15.2418 | − | 0.232334i | −1.03707 | − | 0.0158083i | ||||
\(217\) | 5.81444 | + | 3.35697i | 0.394710 | + | 0.227886i | ||||
\(218\) | 3.79084 | − | 10.4152i | 0.256748 | − | 0.705409i | ||||
\(219\) | −9.49702 | − | 0.0482519i | −0.641749 | − | 0.00326056i | ||||
\(220\) | 1.10493 | − | 1.91380i | 0.0744946 | − | 0.129028i | ||||
\(221\) | 0.623174 | + | 1.07937i | 0.0419192 | + | 0.0726062i | ||||
\(222\) | −8.65410 | + | 4.93799i | −0.580825 | + | 0.331416i | ||||
\(223\) | 4.22862 | − | 5.03948i | 0.283170 | − | 0.337468i | −0.605645 | − | 0.795735i | \(-0.707085\pi\) |
0.888815 | + | 0.458266i | \(0.151529\pi\) | |||||||
\(224\) | 11.3394 | − | 9.51487i | 0.757644 | − | 0.635739i | ||||
\(225\) | −6.52587 | − | 11.5731i | −0.435058 | − | 0.771543i | ||||
\(226\) | 1.75910 | − | 0.640260i | 0.117013 | − | 0.0425894i | ||||
\(227\) | 18.9131 | 1.25531 | 0.627655 | − | 0.778492i | \(-0.284015\pi\) | ||||
0.627655 | + | 0.778492i | \(0.284015\pi\) | |||||||
\(228\) | 2.00720 | − | 8.14023i | 0.132930 | − | 0.539100i | ||||
\(229\) | 9.56916 | 0.632348 | 0.316174 | − | 0.948701i | \(-0.397602\pi\) | ||||
0.316174 | + | 0.948701i | \(0.397602\pi\) | |||||||
\(230\) | −5.85276 | + | 2.13023i | −0.385919 | + | 0.140463i | ||||
\(231\) | −12.4313 | + | 2.12691i | −0.817919 | + | 0.139940i | ||||
\(232\) | −19.9405 | + | 16.7321i | −1.30916 | + | 1.09851i | ||||
\(233\) | −10.9126 | + | 13.0052i | −0.714910 | + | 0.851997i | −0.994126 | − | 0.108232i | \(-0.965481\pi\) |
0.279216 | + | 0.960228i | \(0.409926\pi\) | |||||||
\(234\) | −3.55592 | + | 4.15137i | −0.232458 | + | 0.271384i | ||||
\(235\) | 3.84544 | + | 6.66050i | 0.250849 | + | 0.434483i | ||||
\(236\) | −4.17493 | + | 7.23119i | −0.271765 | + | 0.470710i | ||||
\(237\) | 0.0823954 | − | 16.2172i | 0.00535215 | − | 1.05342i | ||||
\(238\) | −0.575525 | + | 1.58124i | −0.0373058 | + | 0.102497i | ||||
\(239\) | −15.3984 | − | 8.89028i | −0.996041 | − | 0.575064i | −0.0889661 | − | 0.996035i | \(-0.528356\pi\) |
−0.907074 | + | 0.420970i | \(0.861690\pi\) | |||||||
\(240\) | 0.462066 | − | 0.545021i | 0.0298262 | − | 0.0351810i | ||||
\(241\) | −6.54342 | + | 1.15378i | −0.421499 | + | 0.0743216i | −0.380375 | − | 0.924832i | \(-0.624205\pi\) |
−0.0411240 | + | 0.999154i | \(0.513094\pi\) | |||||||
\(242\) | −2.93885 | − | 2.46598i | −0.188916 | − | 0.158519i | ||||
\(243\) | −11.6831 | − | 10.3202i | −0.749470 | − | 0.662038i | ||||
\(244\) | 0.345986 | − | 1.96218i | 0.0221495 | − | 0.125616i | ||||
\(245\) | 0.167581 | + | 0.460424i | 0.0107063 | + | 0.0294154i | ||||
\(246\) | 8.24485 | − | 2.95353i | 0.525672 | − | 0.188310i | ||||
\(247\) | −5.00182 | − | 6.77450i | −0.318258 | − | 0.431051i | ||||
\(248\) | 7.12195i | 0.452244i | ||||||||
\(249\) | −8.98070 | − | 10.8139i | −0.569129 | − | 0.685303i | ||||
\(250\) | 6.61899 | + | 1.16711i | 0.418622 | + | 0.0738143i | ||||
\(251\) | 18.5555 | + | 22.1135i | 1.17121 | + | 1.39579i | 0.901459 | + | 0.432864i | \(0.142497\pi\) |
0.269751 | + | 0.962930i | \(0.413059\pi\) | |||||||
\(252\) | 9.21290 | + | 0.0936191i | 0.580358 | + | 0.00589745i | ||||
\(253\) | 3.99483 | + | 22.6558i | 0.251153 | + | 1.42436i | ||||
\(254\) | −9.26313 | + | 5.34807i | −0.581220 | + | 0.335568i | ||||
\(255\) | 0.150879 | − | 0.830969i | 0.00944844 | − | 0.0520373i | ||||
\(256\) | 15.8943 | + | 5.78504i | 0.993392 | + | 0.361565i | ||||
\(257\) | 6.67388 | + | 2.42909i | 0.416305 | + | 0.151523i | 0.541676 | − | 0.840587i | \(-0.317790\pi\) |
−0.125371 | + | 0.992110i | \(0.540012\pi\) | |||||||
\(258\) | −0.430366 | + | 2.37025i | −0.0267934 | + | 0.147565i | ||||
\(259\) | 14.6084 | − | 8.43415i | 0.907720 | − | 0.524073i | ||||
\(260\) | 0.281566 | + | 1.59684i | 0.0174620 | + | 0.0990319i | ||||
\(261\) | −26.6181 | − | 0.270486i | −1.64762 | − | 0.0167427i | ||||
\(262\) | 11.0523 | + | 13.1717i | 0.682816 | + | 0.813748i | ||||
\(263\) | 1.50286 | + | 0.264995i | 0.0926703 | + | 0.0163403i | 0.219791 | − | 0.975547i | \(-0.429462\pi\) |
−0.127121 | + | 0.991887i | \(0.540574\pi\) | |||||||
\(264\) | −8.54727 | − | 10.2920i | −0.526048 | − | 0.633428i | ||||
\(265\) | 4.10818i | 0.252364i | ||||||||
\(266\) | 2.66577 | − | 11.0523i | 0.163449 | − | 0.677663i | ||||
\(267\) | 2.18967 | − | 0.784401i | 0.134006 | − | 0.0480045i | ||||
\(268\) | −3.72116 | − | 10.2238i | −0.227306 | − | 0.624518i | ||||
\(269\) | 2.20000 | − | 12.4768i | 0.134136 | − | 0.760726i | −0.841321 | − | 0.540536i | \(-0.818221\pi\) |
0.975457 | − | 0.220189i | \(-0.0706675\pi\) | |||||||
\(270\) | 3.65708 | − | 0.587517i | 0.222563 | − | 0.0357552i | ||||
\(271\) | 17.4285 | + | 14.6242i | 1.05871 | + | 0.888359i | 0.993982 | − | 0.109544i | \(-0.0349391\pi\) |
0.0647232 | + | 0.997903i | \(0.479384\pi\) | |||||||
\(272\) | −0.346782 | + | 0.0611470i | −0.0210267 | + | 0.00370758i | ||||
\(273\) | 5.98424 | − | 7.05860i | 0.362183 | − | 0.427206i | ||||
\(274\) | −6.40155 | − | 3.69594i | −0.386732 | − | 0.223280i | ||||
\(275\) | 3.98816 | − | 10.9574i | 0.240495 | − | 0.660754i | ||||
\(276\) | 0.0853859 | − | 16.8058i | 0.00513963 | − | 1.01159i | ||||
\(277\) | 1.84387 | − | 3.19367i | 0.110787 | − | 0.191889i | −0.805301 | − | 0.592867i | \(-0.797996\pi\) |
0.916088 | + | 0.400978i | \(0.131329\pi\) | |||||||
\(278\) | −0.0398579 | − | 0.0690360i | −0.00239052 | − | 0.00414050i | ||||
\(279\) | −4.73794 | + | 5.53132i | −0.283653 | + | 0.331152i | ||||
\(280\) | −3.94153 | + | 4.69733i | −0.235551 | + | 0.280719i | ||||
\(281\) | 7.23561 | − | 6.07140i | 0.431640 | − | 0.362189i | −0.400930 | − | 0.916109i | \(-0.631313\pi\) |
0.832570 | + | 0.553919i | \(0.186868\pi\) | |||||||
\(282\) | 16.3846 | − | 2.80328i | 0.975686 | − | 0.166933i | ||||
\(283\) | −15.5216 | + | 5.64941i | −0.922665 | + | 0.335823i | −0.759298 | − | 0.650743i | \(-0.774458\pi\) |
−0.163367 | + | 0.986565i | \(0.552235\pi\) | |||||||
\(284\) | 3.02282 | 0.179371 | ||||||||
\(285\) | −0.383295 | + | 5.69334i | −0.0227044 | + | 0.337244i | ||||
\(286\) | −4.79730 | −0.283670 | ||||||||
\(287\) | −13.9326 | + | 5.07105i | −0.822416 | + | 0.299335i | ||||
\(288\) | 7.88697 | + | 13.9870i | 0.464744 | + | 0.824189i | ||||
\(289\) | 12.7039 | − | 10.6599i | 0.747289 | − | 0.627050i | ||||
\(290\) | 4.06567 | − | 4.84527i | 0.238744 | − | 0.284524i | ||||
\(291\) | 20.4471 | − | 11.6670i | 1.19863 | − | 0.683932i | ||||
\(292\) | 3.04452 | + | 5.27326i | 0.178167 | + | 0.308594i | ||||
\(293\) | 12.9655 | − | 22.4569i | 0.757453 | − | 1.31195i | −0.186692 | − | 0.982418i | \(-0.559777\pi\) |
0.944145 | − | 0.329529i | \(-0.106890\pi\) | |||||||
\(294\) | 1.05899 | + | 0.00538043i | 0.0617614 | + | 0.000313793i | ||||
\(295\) | 1.94369 | − | 5.34024i | 0.113166 | − | 0.310921i | ||||
\(296\) | 15.4962 | + | 8.94671i | 0.900696 | + | 0.520017i | ||||
\(297\) | 0.208520 | − | 13.6795i | 0.0120996 | − | 0.793765i | ||||
\(298\) | −11.0826 | + | 1.95417i | −0.641999 | + | 0.113202i | ||||
\(299\) | −12.9308 | − | 10.8502i | −0.747808 | − | 0.627485i | ||||
\(300\) | −4.29663 | + | 7.35542i | −0.248066 | + | 0.424665i | ||||
\(301\) | 0.708196 | − | 4.01638i | 0.0408197 | − | 0.231500i | ||||
\(302\) | −0.851345 | − | 2.33905i | −0.0489894 | − | 0.134597i | ||||
\(303\) | 1.22434 | + | 3.41779i | 0.0703367 | + | 0.196347i | ||||
\(304\) | 2.28191 | − | 0.673314i | 0.130876 | − | 0.0386172i | ||||
\(305\) | 1.35608i | 0.0776487i | ||||||||
\(306\) | −1.57147 | − | 0.928704i | −0.0898347 | − | 0.0530905i | ||||
\(307\) | 11.7253 | + | 2.06749i | 0.669199 | + | 0.117998i | 0.497917 | − | 0.867224i | \(-0.334098\pi\) |
0.171281 | + | 0.985222i | \(0.445209\pi\) | |||||||
\(308\) | 5.19761 | + | 6.19428i | 0.296162 | + | 0.352952i | ||||
\(309\) | −7.22634 | + | 19.5447i | −0.411092 | + | 1.11186i | ||||
\(310\) | −0.300505 | − | 1.70425i | −0.0170675 | − | 0.0967948i | ||||
\(311\) | 11.8340 | − | 6.83236i | 0.671045 | − | 0.387428i | −0.125428 | − | 0.992103i | \(-0.540030\pi\) |
0.796472 | + | 0.604675i | \(0.206697\pi\) | |||||||
\(312\) | 9.65838 | + | 1.75368i | 0.546798 | + | 0.0992823i | ||||
\(313\) | −0.501783 | − | 0.182634i | −0.0283624 | − | 0.0103231i | 0.327800 | − | 0.944747i | \(-0.393693\pi\) |
−0.356162 | + | 0.934424i | \(0.615915\pi\) | |||||||
\(314\) | −11.6016 | − | 4.22262i | −0.654714 | − | 0.238296i | ||||
\(315\) | −6.18616 | + | 1.02609i | −0.348551 | + | 0.0578134i | ||||
\(316\) | −9.00467 | + | 5.19885i | −0.506552 | + | 0.292458i | ||||
\(317\) | −1.24799 | − | 7.07772i | −0.0700943 | − | 0.397525i | −0.999588 | − | 0.0286876i | \(-0.990867\pi\) |
0.929494 | − | 0.368837i | \(-0.120244\pi\) | |||||||
\(318\) | 8.32817 | + | 3.07921i | 0.467021 | + | 0.172674i | ||||
\(319\) | −15.0170 | − | 17.8966i | −0.840793 | − | 1.00202i | ||||
\(320\) | −4.56996 | − | 0.805808i | −0.255469 | − | 0.0450460i | ||||
\(321\) | −9.09496 | + | 7.55316i | −0.507631 | + | 0.421577i | ||||
\(322\) | − | 22.7900i | − | 1.27004i | ||||||
\(323\) | 1.93788 | − | 2.03779i | 0.107827 | − | 0.113386i | ||||
\(324\) | −1.93517 | + | 9.80530i | −0.107510 | + | 0.544739i | ||||
\(325\) | 2.92628 | + | 8.03990i | 0.162321 | + | 0.445973i | ||||
\(326\) | −3.58928 | + | 20.3558i | −0.198792 | + | 1.12740i | ||||
\(327\) | −17.5759 | − | 10.2669i | −0.971952 | − | 0.567761i | ||||
\(328\) | −12.0482 | − | 10.1096i | −0.665251 | − | 0.558212i | ||||
\(329\) | −27.7139 | + | 4.88671i | −1.52792 | + | 0.269413i | ||||
\(330\) | 2.47958 | + | 2.10218i | 0.136497 | + | 0.115721i | ||||
\(331\) | 10.8346 | + | 6.25537i | 0.595524 | + | 0.343826i | 0.767279 | − | 0.641314i | \(-0.221610\pi\) |
−0.171755 | + | 0.985140i | \(0.554944\pi\) | |||||||
\(332\) | −3.08243 | + | 8.46890i | −0.169170 | + | 0.464791i | ||||
\(333\) | 6.08334 | + | 17.2575i | 0.333365 | + | 0.945704i | ||||
\(334\) | −0.601699 | + | 1.04217i | −0.0329235 | + | 0.0570252i | ||||
\(335\) | 3.70247 | + | 6.41287i | 0.202288 | + | 0.350373i | ||||
\(336\) | 1.29574 | + | 2.27085i | 0.0706882 | + | 0.123885i | ||||
\(337\) | −10.1355 | + | 12.0790i | −0.552114 | + | 0.657984i | −0.967858 | − | 0.251498i | \(-0.919077\pi\) |
0.415744 | + | 0.909482i | \(0.363521\pi\) | |||||||
\(338\) | −6.69584 | + | 5.61847i | −0.364205 | + | 0.305605i | ||||
\(339\) | −0.579772 | − | 3.38864i | −0.0314889 | − | 0.184046i | ||||
\(340\) | −0.508826 | + | 0.185198i | −0.0275950 | + | 0.0100437i | ||||
\(341\) | −6.39196 | −0.346144 | ||||||||
\(342\) | 11.2543 | + | 5.04436i | 0.608565 | + | 0.272768i | ||||
\(343\) | 17.5660 | 0.948476 | ||||||||
\(344\) | 4.06529 | − | 1.47964i | 0.219186 | − | 0.0797770i | ||||
\(345\) | 1.92898 | + | 11.2745i | 0.103853 | + | 0.606996i | ||||
\(346\) | −2.18362 | + | 1.83227i | −0.117392 | + | 0.0985036i | ||||
\(347\) | −6.99541 | + | 8.33680i | −0.375533 | + | 0.447543i | −0.920399 | − | 0.390980i | \(-0.872136\pi\) |
0.544866 | + | 0.838523i | \(0.316581\pi\) | |||||||
\(348\) | 8.45825 | + | 14.8235i | 0.453410 | + | 0.794625i | ||||
\(349\) | −15.3337 | − | 26.5588i | −0.820796 | − | 1.42166i | −0.905090 | − | 0.425219i | \(-0.860197\pi\) |
0.0842943 | − | 0.996441i | \(-0.473136\pi\) | |||||||
\(350\) | −5.77575 | + | 10.0039i | −0.308727 | + | 0.534730i | ||||
\(351\) | 6.33461 | + | 7.78732i | 0.338116 | + | 0.415656i | ||||
\(352\) | −4.81997 | + | 13.2427i | −0.256905 | + | 0.705841i | ||||
\(353\) | 9.45086 | + | 5.45646i | 0.503018 | + | 0.290418i | 0.729959 | − | 0.683491i | \(-0.239539\pi\) |
−0.226941 | + | 0.973909i | \(0.572872\pi\) | |||||||
\(354\) | −9.36896 | − | 7.94296i | −0.497955 | − | 0.422163i | ||||
\(355\) | −2.02609 | + | 0.357255i | −0.107534 | + | 0.0189611i | ||||
\(356\) | −1.14237 | − | 0.958561i | −0.0605454 | − | 0.0508036i | ||||
\(357\) | 2.66838 | + | 1.55872i | 0.141226 | + | 0.0824962i | ||||
\(358\) | 1.96535 | − | 11.1461i | 0.103872 | − | 0.589089i | ||||
\(359\) | −0.231280 | − | 0.635437i | −0.0122065 | − | 0.0335371i | 0.933440 | − | 0.358734i | \(-0.116792\pi\) |
−0.945646 | + | 0.325197i | \(0.894569\pi\) | |||||||
\(360\) | −4.22367 | − | 5.13873i | −0.222607 | − | 0.270835i | ||||
\(361\) | −11.4665 | + | 15.1499i | −0.603498 | + | 0.797364i | ||||
\(362\) | − | 7.32860i | − | 0.385183i | ||||||
\(363\) | −5.42007 | + | 4.50125i | −0.284480 | + | 0.236254i | ||||
\(364\) | −5.84295 | − | 1.03027i | −0.306254 | − | 0.0540008i | ||||
\(365\) | −2.66386 | − | 3.17466i | −0.139433 | − | 0.166170i | ||||
\(366\) | 2.74906 | + | 1.01642i | 0.143696 | + | 0.0531293i | ||||
\(367\) | −0.213597 | − | 1.21137i | −0.0111497 | − | 0.0632330i | 0.978725 | − | 0.205175i | \(-0.0657764\pi\) |
−0.989875 | + | 0.141942i | \(0.954665\pi\) | |||||||
\(368\) | 4.13017 | − | 2.38455i | 0.215300 | − | 0.124303i | ||||
\(369\) | −2.63181 | − | 15.8669i | −0.137007 | − | 0.825999i | ||||
\(370\) | −4.08565 | − | 1.48706i | −0.212403 | − | 0.0773083i | ||||
\(371\) | −14.1256 | − | 5.14128i | −0.733363 | − | 0.266922i | ||||
\(372\) | 4.59439 | + | 0.834206i | 0.238208 | + | 0.0432516i | ||||
\(373\) | 5.13058 | − | 2.96214i | 0.265652 | − | 0.153374i | −0.361258 | − | 0.932466i | \(-0.617653\pi\) |
0.626910 | + | 0.779092i | \(0.284319\pi\) | |||||||
\(374\) | −0.278189 | − | 1.57769i | −0.0143848 | − | 0.0815803i | ||||
\(375\) | 4.28048 | − | 11.5772i | 0.221043 | − | 0.597843i | ||||
\(376\) | −19.1883 | − | 22.8677i | −0.989560 | − | 1.17931i | ||||
\(377\) | 16.8816 | + | 2.97667i | 0.869445 | + | 0.153307i | ||||
\(378\) | −2.55663 | + | 13.3098i | −0.131499 | + | 0.684581i | ||||
\(379\) | 10.4298i | 0.535745i | 0.963454 | + | 0.267872i | \(0.0863205\pi\) | ||||
−0.963454 | + | 0.267872i | \(0.913679\pi\) | |||||||
\(380\) | 3.27585 | − | 1.62896i | 0.168047 | − | 0.0835641i | ||||
\(381\) | 6.62451 | + | 18.4925i | 0.339384 | + | 0.947399i | ||||
\(382\) | 0.346894 | + | 0.953083i | 0.0177486 | + | 0.0487640i | ||||
\(383\) | 2.22181 | − | 12.6005i | 0.113529 | − | 0.643855i | −0.873939 | − | 0.486036i | \(-0.838442\pi\) |
0.987468 | − | 0.157820i | \(-0.0504464\pi\) | |||||||
\(384\) | 4.29331 | − | 7.34974i | 0.219092 | − | 0.375065i | ||||
\(385\) | −4.21586 | − | 3.53753i | −0.214860 | − | 0.180289i | ||||
\(386\) | −1.80097 | + | 0.317559i | −0.0916668 | + | 0.0161633i | ||||
\(387\) | 4.14168 | + | 1.55529i | 0.210534 | + | 0.0790598i | ||||
\(388\) | −13.0713 | − | 7.54673i | −0.663596 | − | 0.383127i | ||||
\(389\) | −5.42537 | + | 14.9061i | −0.275077 | + | 0.755768i | 0.722825 | + | 0.691031i | \(0.242843\pi\) |
−0.997902 | + | 0.0647371i | \(0.979379\pi\) | |||||||
\(390\) | −2.38520 | − | 0.0121186i | −0.120779 | − | 0.000613647i | ||||
\(391\) | 2.81848 | − | 4.88175i | 0.142537 | − | 0.246881i | ||||
\(392\) | −0.950900 | − | 1.64701i | −0.0480277 | − | 0.0831864i | ||||
\(393\) | 27.4265 | − | 15.6494i | 1.38348 | − | 0.789409i | ||||
\(394\) | −9.63283 | + | 11.4800i | −0.485295 | + | 0.578352i | ||||
\(395\) | 5.42109 | − | 4.54883i | 0.272765 | − | 0.228877i | ||||
\(396\) | −7.64055 | + | 4.30836i | −0.383952 | + | 0.216503i | ||||
\(397\) | 17.4496 | − | 6.35113i | 0.875770 | − | 0.318754i | 0.135269 | − | 0.990809i | \(-0.456810\pi\) |
0.740501 | + | 0.672055i | \(0.234588\pi\) | |||||||
\(398\) | −2.61552 | −0.131104 | ||||||||
\(399\) | −19.0963 | − | 8.44299i | −0.956010 | − | 0.422678i | ||||
\(400\) | −2.41730 | −0.120865 | ||||||||
\(401\) | 30.7150 | − | 11.1794i | 1.53384 | − | 0.558271i | 0.569279 | − | 0.822144i | \(-0.307222\pi\) |
0.964557 | + | 0.263874i | \(0.0850002\pi\) | |||||||
\(402\) | 15.7754 | − | 2.69906i | 0.786806 | − | 0.134617i | ||||
\(403\) | 3.59279 | − | 3.01471i | 0.178970 | − | 0.150173i | ||||
\(404\) | 1.49618 | − | 1.78308i | 0.0744379 | − | 0.0887117i | ||||
\(405\) | 0.138232 | − | 6.80087i | 0.00686878 | − | 0.337938i | ||||
\(406\) | 11.5719 | + | 20.0431i | 0.574304 | + | 0.994723i | ||||
\(407\) | −8.02968 | + | 13.9078i | −0.398017 | + | 0.689385i | ||||
\(408\) | −0.0166549 | + | 3.27805i | −0.000824540 | + | 0.162288i | ||||
\(409\) | 6.25333 | − | 17.1809i | 0.309207 | − | 0.849540i | −0.683605 | − | 0.729853i | \(-0.739589\pi\) |
0.992812 | − | 0.119687i | \(-0.0381891\pi\) | |||||||
\(410\) | 3.30965 | + | 1.91082i | 0.163452 | + | 0.0943689i | ||||
\(411\) | −8.77858 | + | 10.3546i | −0.433016 | + | 0.510755i | ||||
\(412\) | 13.1570 | − | 2.31994i | 0.648201 | − | 0.114295i | ||||
\(413\) | 15.9294 | + | 13.3663i | 0.783834 | + | 0.657715i | ||||
\(414\) | 24.3016 | + | 4.54011i | 1.19436 | + | 0.223134i | ||||
\(415\) | 1.06514 | − | 6.04072i | 0.0522857 | − | 0.296527i | ||||
\(416\) | −3.53662 | − | 9.71678i | −0.173397 | − | 0.476404i | ||||
\(417\) | −0.137820 | + | 0.0493710i | −0.00674909 | + | 0.00241771i | ||||
\(418\) | 3.06325 | + | 10.3816i | 0.149829 | + | 0.507779i | ||||
\(419\) | − | 23.0832i | − | 1.12769i | −0.825882 | − | 0.563843i | \(-0.809322\pi\) | ||
0.825882 | − | 0.563843i | \(-0.190678\pi\) | |||||||
\(420\) | 2.56859 | + | 3.09290i | 0.125334 | + | 0.150918i | ||||
\(421\) | −11.4247 | − | 2.01448i | −0.556804 | − | 0.0981796i | −0.111837 | − | 0.993727i | \(-0.535674\pi\) |
−0.444967 | + | 0.895547i | \(0.646785\pi\) | |||||||
\(422\) | −7.22007 | − | 8.60454i | −0.351467 | − | 0.418863i | ||||
\(423\) | 0.310193 | − | 30.5255i | 0.0150821 | − | 1.48420i | ||||
\(424\) | −2.76893 | − | 15.7034i | −0.134471 | − | 0.762624i | ||||
\(425\) | −2.47439 | + | 1.42859i | −0.120026 | + | 0.0692968i | ||||
\(426\) | −0.794389 | + | 4.37510i | −0.0384883 | + | 0.211974i | ||||
\(427\) | −4.66273 | − | 1.69709i | −0.225645 | − | 0.0821282i | ||||
\(428\) | 7.12272 | + | 2.59246i | 0.344290 | + | 0.125311i | ||||
\(429\) | −1.57393 | + | 8.66840i | −0.0759898 | + | 0.418514i | ||||
\(430\) | −0.910371 | + | 0.525603i | −0.0439020 | + | 0.0253468i | ||||
\(431\) | −1.52061 | − | 8.62379i | −0.0732450 | − | 0.415393i | −0.999279 | − | 0.0379542i | \(-0.987916\pi\) |
0.926034 | − | 0.377439i | \(-0.123195\pi\) | |||||||
\(432\) | −2.67959 | + | 0.929290i | −0.128922 | + | 0.0447105i | ||||
\(433\) | 22.4687 | + | 26.7771i | 1.07977 | + | 1.28683i | 0.955633 | + | 0.294561i | \(0.0951734\pi\) |
0.124142 | + | 0.992264i | \(0.460382\pi\) | |||||||
\(434\) | 6.23596 | + | 1.09957i | 0.299335 | + | 0.0527809i | ||||
\(435\) | −7.42121 | − | 8.93606i | −0.355820 | − | 0.428451i | ||||
\(436\) | 13.0504i | 0.625002i | ||||||||
\(437\) | −15.2236 | + | 34.9111i | −0.728243 | + | 1.67003i | ||||
\(438\) | −8.43238 | + | 3.02071i | −0.402915 | + | 0.144335i | ||||
\(439\) | 7.13625 | + | 19.6067i | 0.340595 | + | 0.935777i | 0.985222 | + | 0.171280i | \(0.0547902\pi\) |
−0.644628 | + | 0.764497i | \(0.722988\pi\) | |||||||
\(440\) | 1.01374 | − | 5.74918i | 0.0483279 | − | 0.274081i | ||||
\(441\) | 0.357161 | − | 1.91176i | 0.0170077 | − | 0.0910360i | ||||
\(442\) | 0.900467 | + | 0.755582i | 0.0428309 | + | 0.0359394i | ||||
\(443\) | 3.66884 | − | 0.646915i | 0.174312 | − | 0.0307359i | −0.0858110 | − | 0.996311i | \(-0.527348\pi\) |
0.260123 | + | 0.965576i | \(0.416237\pi\) | |||||||
\(444\) | 7.58664 | − | 8.94868i | 0.360046 | − | 0.424685i | ||||
\(445\) | 0.878979 | + | 0.507479i | 0.0416676 | + | 0.0240568i | ||||
\(446\) | 2.12206 | − | 5.83032i | 0.100483 | − | 0.276073i | ||||
\(447\) | −0.105002 | + | 20.6667i | −0.00496643 | + | 0.977502i | ||||
\(448\) | 8.48988 | − | 14.7049i | 0.401109 | − | 0.694742i | ||||
\(449\) | 3.50765 | + | 6.07543i | 0.165536 | + | 0.286717i | 0.936846 | − | 0.349743i | \(-0.113731\pi\) |
−0.771309 | + | 0.636461i | \(0.780398\pi\) | |||||||
\(450\) | −9.51678 | − | 8.15174i | −0.448625 | − | 0.384277i | ||||
\(451\) | 9.07342 | − | 10.8133i | 0.427251 | − | 0.509178i | ||||
\(452\) | −1.68849 | + | 1.41681i | −0.0794201 | + | 0.0666414i | ||||
\(453\) | −4.50583 | + | 0.770915i | −0.211702 | + | 0.0362208i | ||||
\(454\) | 16.7619 | − | 6.10085i | 0.786677 | − | 0.286327i | ||||
\(455\) | 4.03809 | 0.189309 | ||||||||
\(456\) | −2.37220 | − | 22.0209i | −0.111089 | − | 1.03123i | ||||
\(457\) | −30.3503 | −1.41973 | −0.709864 | − | 0.704339i | \(-0.751243\pi\) | ||||
−0.709864 | + | 0.704339i | \(0.751243\pi\) | |||||||
\(458\) | 8.48075 | − | 3.08674i | 0.396280 | − | 0.144234i | ||||
\(459\) | −2.19368 | + | 2.53484i | −0.102392 | + | 0.118316i | ||||
\(460\) | 5.61785 | − | 4.71393i | 0.261933 | − | 0.219788i | ||||
\(461\) | 12.4414 | − | 14.8271i | 0.579453 | − | 0.690565i | −0.394089 | − | 0.919072i | \(-0.628940\pi\) |
0.973542 | + | 0.228507i | \(0.0733843\pi\) | |||||||
\(462\) | −10.3313 | + | 5.89497i | −0.480654 | + | 0.274259i | ||||
\(463\) | −6.55643 | − | 11.3561i | −0.304703 | − | 0.527761i | 0.672492 | − | 0.740104i | \(-0.265224\pi\) |
−0.977195 | + | 0.212343i | \(0.931891\pi\) | |||||||
\(464\) | −2.42157 | + | 4.19428i | −0.112418 | + | 0.194715i | ||||
\(465\) | −3.17806 | − | 0.0161469i | −0.147379 | − | 0.000748793i | ||||
\(466\) | −5.47631 | + | 15.0460i | −0.253685 | + | 0.696995i | ||||
\(467\) | −31.3996 | − | 18.1286i | −1.45300 | − | 0.838891i | −0.454351 | − | 0.890823i | \(-0.650129\pi\) |
−0.998651 | + | 0.0519317i | \(0.983462\pi\) | |||||||
\(468\) | 2.26260 | − | 6.02524i | 0.104589 | − | 0.278517i | ||||
\(469\) | −26.6836 | + | 4.70503i | −1.23213 | + | 0.217258i | ||||
\(470\) | 5.55654 | + | 4.66249i | 0.256304 | + | 0.215065i | ||||
\(471\) | −11.4363 | + | 19.5779i | −0.526957 | + | 0.902101i | ||||
\(472\) | −3.83034 | + | 21.7229i | −0.176306 | + | 0.999880i | ||||
\(473\) | 1.32798 | + | 3.64860i | 0.0610607 | + | 0.167763i | ||||
\(474\) | −5.15819 | − | 14.3992i | −0.236924 | − | 0.661378i | ||||
\(475\) | 15.5302 | − | 11.4664i | 0.712572 | − | 0.526114i | ||||
\(476\) | − | 1.98132i | − | 0.0908135i | ||||||
\(477\) | 8.29630 | − | 14.0382i | 0.379861 | − | 0.642766i | ||||
\(478\) | −16.5147 | − | 2.91199i | −0.755366 | − | 0.133191i | ||||
\(479\) | 7.11537 | + | 8.47977i | 0.325110 | + | 0.387451i | 0.903699 | − | 0.428169i | \(-0.140841\pi\) |
−0.578589 | + | 0.815619i | \(0.696397\pi\) | |||||||
\(480\) | −2.42992 | + | 6.57206i | −0.110910 | + | 0.299972i | ||||
\(481\) | −2.04617 | − | 11.6044i | −0.0932975 | − | 0.529117i | ||||
\(482\) | −5.42698 | + | 3.13327i | −0.247192 | + | 0.142717i | ||||
\(483\) | −41.1801 | − | 7.47709i | −1.87376 | − | 0.340219i | ||||
\(484\) | 4.24473 | + | 1.54495i | 0.192942 | + | 0.0702252i | ||||
\(485\) | 9.65318 | + | 3.51347i | 0.438328 | + | 0.159538i | ||||
\(486\) | −13.6832 | − | 5.37770i | −0.620684 | − | 0.243937i | ||||
\(487\) | −16.7012 | + | 9.64242i | −0.756802 | + | 0.436940i | −0.828146 | − | 0.560512i | \(-0.810604\pi\) |
0.0713444 | + | 0.997452i | \(0.477271\pi\) | |||||||
\(488\) | −0.914001 | − | 5.18356i | −0.0413749 | − | 0.234649i | ||||
\(489\) | 35.6041 | + | 13.1641i | 1.61007 | + | 0.595299i | ||||
\(490\) | 0.297040 | + | 0.353998i | 0.0134189 | + | 0.0159920i | ||||
\(491\) | −20.1391 | − | 3.55106i | −0.908864 | − | 0.160257i | −0.300377 | − | 0.953821i | \(-0.597112\pi\) |
−0.608488 | + | 0.793563i | \(0.708224\pi\) | |||||||
\(492\) | −7.93299 | + | 6.58818i | −0.357647 | + | 0.297018i | ||||
\(493\) | 5.72446i | 0.257817i | ||||||||
\(494\) | −6.61816 | − | 4.39051i | −0.297765 | − | 0.197538i | ||||
\(495\) | 4.61201 | − | 3.79075i | 0.207295 | − | 0.170382i | ||||
\(496\) | 0.453206 | + | 1.24517i | 0.0203495 | + | 0.0559099i | ||||
\(497\) | 1.30722 | − | 7.41360i | 0.0586368 | − | 0.332546i | ||||
\(498\) | −11.4475 | − | 6.68698i | −0.512974 | − | 0.299651i | ||||
\(499\) | 26.4116 | + | 22.1619i | 1.18234 | + | 0.992104i | 0.999961 | + | 0.00887695i | \(0.00282566\pi\) |
0.182383 | + | 0.983227i | \(0.441619\pi\) | |||||||
\(500\) | −7.79351 | + | 1.37421i | −0.348536 | + | 0.0614564i | ||||
\(501\) | 1.68573 | + | 1.42915i | 0.0753129 | + | 0.0638499i | ||||
\(502\) | 23.5781 | + | 13.6128i | 1.05234 | + | 0.607571i | ||||
\(503\) | −14.2850 | + | 39.2477i | −0.636936 | + | 1.74997i | 0.0242047 | + | 0.999707i | \(0.492295\pi\) |
−0.661141 | + | 0.750262i | \(0.729928\pi\) | |||||||
\(504\) | 22.9548 | − | 8.09168i | 1.02249 | − | 0.360432i | ||||
\(505\) | −0.792106 | + | 1.37197i | −0.0352482 | + | 0.0610517i | ||||
\(506\) | 10.8486 | + | 18.7903i | 0.482277 | + | 0.835329i | ||||
\(507\) | 7.95541 | + | 13.9423i | 0.353312 | + | 0.619199i | ||||
\(508\) | 8.09535 | − | 9.64767i | 0.359173 | − | 0.428046i | ||||
\(509\) | −2.29929 | + | 1.92934i | −0.101914 | + | 0.0855163i | −0.692321 | − | 0.721590i | \(-0.743412\pi\) |
0.590407 | + | 0.807106i | \(0.298967\pi\) | |||||||
\(510\) | −0.134329 | − | 0.785123i | −0.00594819 | − | 0.0347658i | ||||
\(511\) | 14.2495 | − | 5.18640i | 0.630361 | − | 0.229433i | ||||
\(512\) | 6.12392 | 0.270642 | ||||||||
\(513\) | 12.8072 | − | 18.6809i | 0.565453 | − | 0.824781i | ||||
\(514\) | 6.69834 | 0.295451 | ||||||||
\(515\) | −8.54453 | + | 3.10996i | −0.376517 | + | 0.137041i | ||||
\(516\) | −0.478349 | − | 2.79584i | −0.0210581 | − | 0.123080i | ||||
\(517\) | 20.5238 | − | 17.2215i | 0.902635 | − | 0.757401i | ||||
\(518\) | 10.2262 | − | 12.1871i | 0.449313 | − | 0.535470i | ||||
\(519\) | 2.59438 | + | 4.54680i | 0.113881 | + | 0.199582i | ||||
\(520\) | 2.14175 | + | 3.70962i | 0.0939219 | + | 0.162677i | ||||
\(521\) | −15.2958 | + | 26.4931i | −0.670121 | + | 1.16068i | 0.307748 | + | 0.951468i | \(0.400425\pi\) |
−0.977869 | + | 0.209216i | \(0.932909\pi\) | |||||||
\(522\) | −23.6778 | + | 8.34653i | −1.03635 | + | 0.365317i | ||||
\(523\) | 6.27523 | − | 17.2410i | 0.274397 | − | 0.753898i | −0.723576 | − | 0.690245i | \(-0.757503\pi\) |
0.997972 | − | 0.0636530i | \(-0.0202751\pi\) | |||||||
\(524\) | −17.5331 | − | 10.1227i | −0.765937 | − | 0.442214i | ||||
\(525\) | 16.1814 | + | 13.7185i | 0.706216 | + | 0.598726i | ||||
\(526\) | 1.41740 | − | 0.249926i | 0.0618016 | − | 0.0108973i | ||||
\(527\) | 1.19979 | + | 1.00674i | 0.0522637 | + | 0.0438545i | ||||
\(528\) | −2.14930 | − | 1.25550i | −0.0935363 | − | 0.0546387i | ||||
\(529\) | −9.26316 | + | 52.5340i | −0.402746 | + | 2.28409i | ||||
\(530\) | 1.32518 | + | 3.64091i | 0.0575623 | + | 0.158151i | ||||
\(531\) | −17.4262 | + | 14.3231i | −0.756234 | + | 0.621571i | ||||
\(532\) | 1.50139 | + | 13.3023i | 0.0650936 | + | 0.576726i | ||||
\(533\) | 10.3573i | 0.448626i | ||||||||
\(534\) | 1.68759 | − | 1.40151i | 0.0730293 | − | 0.0606492i | ||||
\(535\) | −5.08051 | − | 0.895830i | −0.219649 | − | 0.0387301i | ||||
\(536\) | −18.4749 | − | 22.0175i | −0.797994 | − | 0.951012i | ||||
\(537\) | −19.4954 | − | 7.20814i | −0.841290 | − | 0.311054i | ||||
\(538\) | −2.07490 | − | 11.7674i | −0.0894554 | − | 0.507327i | ||||
\(539\) | 1.47819 | − | 0.853434i | 0.0636702 | − | 0.0367600i | ||||
\(540\) | −3.80973 | + | 2.12280i | −0.163945 | + | 0.0913506i | ||||
\(541\) | −11.3765 | − | 4.14071i | −0.489114 | − | 0.178023i | 0.0856773 | − | 0.996323i | \(-0.472695\pi\) |
−0.574791 | + | 0.818300i | \(0.694917\pi\) | |||||||
\(542\) | 20.1635 | + | 7.33892i | 0.866097 | + | 0.315234i | ||||
\(543\) | −13.2423 | − | 2.40441i | −0.568281 | − | 0.103183i | ||||
\(544\) | 2.99048 | − | 1.72655i | 0.128216 | − | 0.0740253i | ||||
\(545\) | −1.54238 | − | 8.74726i | −0.0660682 | − | 0.374691i | ||||
\(546\) | 3.02668 | − | 8.18609i | 0.129530 | − | 0.350332i | ||||
\(547\) | −14.0778 | − | 16.7773i | −0.601923 | − | 0.717344i | 0.375927 | − | 0.926649i | \(-0.377324\pi\) |
−0.977850 | + | 0.209305i | \(0.932880\pi\) | |||||||
\(548\) | 8.57132 | + | 1.51135i | 0.366148 | + | 0.0645618i | ||||
\(549\) | 2.73854 | − | 4.63390i | 0.116878 | − | 0.197770i | ||||
\(550\) | − | 10.9975i | − | 0.468936i | ||||||
\(551\) | −4.33785 | − | 38.4332i | −0.184799 | − | 1.63731i | ||||
\(552\) | −14.9725 | − | 41.7961i | −0.637272 | − | 1.77896i | ||||
\(553\) | 8.85635 | + | 24.3326i | 0.376610 | + | 1.03473i | ||||
\(554\) | 0.603955 | − | 3.42520i | 0.0256596 | − | 0.145523i | ||||
\(555\) | −4.02746 | + | 6.89463i | −0.170956 | + | 0.292661i | ||||
\(556\) | 0.0719018 | + | 0.0603328i | 0.00304932 | + | 0.00255868i | ||||
\(557\) | 26.7456 | − | 4.71596i | 1.13325 | − | 0.199822i | 0.424596 | − | 0.905383i | \(-0.360416\pi\) |
0.708649 | + | 0.705561i | \(0.249305\pi\) | |||||||
\(558\) | −2.41479 | + | 6.43051i | −0.102226 | + | 0.272225i | ||||
\(559\) | −2.46726 | − | 1.42447i | −0.104354 | − | 0.0602488i | ||||
\(560\) | −0.390206 | + | 1.07208i | −0.0164892 | + | 0.0453037i | ||||
\(561\) | −2.94205 | − | 0.0149478i | −0.124214 | − | 0.000631096i | ||||
\(562\) | 4.45416 | − | 7.71484i | 0.187887 | − | 0.325431i | ||||
\(563\) | −0.218964 | − | 0.379256i | −0.00922822 | − | 0.0159837i | 0.861374 | − | 0.507971i | \(-0.169604\pi\) |
−0.870603 | + | 0.491987i | \(0.836271\pi\) | |||||||
\(564\) | −16.9996 | + | 9.69989i | −0.715811 | + | 0.408439i | ||||
\(565\) | 0.964292 | − | 1.14920i | 0.0405681 | − | 0.0483472i | ||||
\(566\) | −11.9338 | + | 10.0137i | −0.501617 | + | 0.420906i | ||||
\(567\) | 23.2111 | + | 8.98641i | 0.974774 | + | 0.377394i | ||||
\(568\) | 7.50388 | − | 2.73119i | 0.314856 | − | 0.114598i | ||||
\(569\) | −32.6261 | −1.36776 | −0.683878 | − | 0.729596i | \(-0.739708\pi\) | ||||
−0.683878 | + | 0.729596i | \(0.739708\pi\) | |||||||
\(570\) | 1.49681 | + | 5.16941i | 0.0626945 | + | 0.216523i | ||||
\(571\) | −22.3986 | −0.937353 | −0.468676 | − | 0.883370i | \(-0.655269\pi\) | ||||
−0.468676 | + | 0.883370i | \(0.655269\pi\) | |||||||
\(572\) | 5.30791 | − | 1.93192i | 0.221935 | − | 0.0807777i | ||||
\(573\) | 1.83597 | − | 0.314122i | 0.0766988 | − | 0.0131226i | ||||
\(574\) | −10.7121 | + | 8.98853i | −0.447115 | + | 0.375174i | ||||
\(575\) | 24.8735 | − | 29.6431i | 1.03730 | − | 1.23620i | ||||
\(576\) | 13.9889 | + | 11.9824i | 0.582871 | + | 0.499267i | ||||
\(577\) | 11.7982 | + | 20.4351i | 0.491165 | + | 0.850723i | 0.999948 | − | 0.0101715i | \(-0.00323775\pi\) |
−0.508783 | + | 0.860895i | \(0.669904\pi\) | |||||||
\(578\) | 7.82039 | − | 13.5453i | 0.325285 | − | 0.563411i | ||||
\(579\) | −0.0170632 | + | 3.35842i | −0.000709124 | + | 0.139571i | ||||
\(580\) | −2.54717 | + | 6.99828i | −0.105765 | + | 0.290588i | ||||
\(581\) | 19.4374 | + | 11.2222i | 0.806399 | + | 0.465575i | ||||
\(582\) | 14.3579 | − | 16.9356i | 0.595156 | − | 0.702005i | ||||
\(583\) | 14.0938 | − | 2.48512i | 0.583706 | − | 0.102923i | ||||
\(584\) | 12.3223 | + | 10.3396i | 0.509899 | + | 0.427856i | ||||
\(585\) | −0.804447 | + | 4.30592i | −0.0332598 | + | 0.178028i | ||||
\(586\) | 4.24683 | − | 24.0849i | 0.175435 | − | 0.994940i | ||||
\(587\) | −5.00085 | − | 13.7397i | −0.206407 | − | 0.567099i | 0.792688 | − | 0.609627i | \(-0.208681\pi\) |
−0.999095 | + | 0.0425285i | \(0.986459\pi\) | |||||||
\(588\) | −1.17387 | + | 0.420512i | −0.0484096 | + | 0.0173416i | ||||
\(589\) | −8.81810 | − | 5.84996i | −0.363343 | − | 0.241043i | ||||
\(590\) | − | 5.35981i | − | 0.220660i | ||||||
\(591\) | 17.5832 | + | 21.1723i | 0.723274 | + | 0.870913i | ||||
\(592\) | 3.27861 | + | 0.578107i | 0.134750 | + | 0.0237601i | ||||
\(593\) | −25.5787 | − | 30.4835i | −1.05039 | − | 1.25181i | −0.966861 | − | 0.255302i | \(-0.917825\pi\) |
−0.0835298 | − | 0.996505i | \(-0.526619\pi\) | |||||||
\(594\) | −4.22782 | − | 12.1908i | −0.173469 | − | 0.500196i | ||||
\(595\) | 0.234164 | + | 1.32801i | 0.00959978 | + | 0.0544431i | ||||
\(596\) | 11.4753 | − | 6.62525i | 0.470045 | − | 0.271381i | ||||
\(597\) | −0.858114 | + | 4.72607i | −0.0351203 | + | 0.193425i | ||||
\(598\) | −14.9600 | − | 5.44500i | −0.611761 | − | 0.222663i | ||||
\(599\) | 38.7502 | + | 14.1039i | 1.58329 | + | 0.576270i | 0.975916 | − | 0.218146i | \(-0.0700008\pi\) |
0.607374 | + | 0.794416i | \(0.292223\pi\) | |||||||
\(600\) | −4.02020 | + | 22.1413i | −0.164124 | + | 0.903914i | ||||
\(601\) | −33.4472 | + | 19.3108i | −1.36434 | + | 0.787703i | −0.990198 | − | 0.139669i | \(-0.955396\pi\) |
−0.374143 | + | 0.927371i | \(0.622063\pi\) | |||||||
\(602\) | −0.667926 | − | 3.78800i | −0.0272226 | − | 0.154387i | ||||
\(603\) | 0.298660 | − | 29.3907i | 0.0121624 | − | 1.19688i | ||||
\(604\) | 1.88392 | + | 2.24517i | 0.0766556 | + | 0.0913546i | ||||
\(605\) | −3.02769 | − | 0.533863i | −0.123093 | − | 0.0217046i | ||||
\(606\) | 2.18757 | + | 2.63410i | 0.0888638 | + | 0.107003i | ||||
\(607\) | − | 14.1262i | − | 0.573366i | −0.958026 | − | 0.286683i | \(-0.907447\pi\) | ||
0.958026 | − | 0.286683i | \(-0.0925526\pi\) | |||||||
\(608\) | −18.7693 | + | 13.8579i | −0.761194 | + | 0.562013i | ||||
\(609\) | 40.0132 | − | 14.3338i | 1.62142 | − | 0.580835i | ||||
\(610\) | 0.437432 | + | 1.20183i | 0.0177111 | + | 0.0486608i | ||||
\(611\) | −3.41364 | + | 19.3597i | −0.138101 | + | 0.783210i | ||||
\(612\) | 2.11273 | + | 0.394707i | 0.0854020 | + | 0.0159551i | ||||
\(613\) | −3.94393 | − | 3.30935i | −0.159294 | − | 0.133663i | 0.559657 | − | 0.828724i | \(-0.310933\pi\) |
−0.718951 | + | 0.695061i | \(0.755377\pi\) | |||||||
\(614\) | 11.0586 | − | 1.94992i | 0.446287 | − | 0.0786925i | ||||
\(615\) | 4.53858 | − | 5.35340i | 0.183013 | − | 0.215870i | ||||
\(616\) | 18.4993 | + | 10.6806i | 0.745358 | + | 0.430333i | ||||
\(617\) | 0.607820 | − | 1.66997i | 0.0244699 | − | 0.0672305i | −0.926856 | − | 0.375416i | \(-0.877500\pi\) |
0.951326 | + | 0.308186i | \(0.0997219\pi\) | |||||||
\(618\) | −0.0998499 | + | 19.6526i | −0.00401655 | + | 0.790545i | ||||
\(619\) | 11.8880 | − | 20.5906i | 0.477819 | − | 0.827606i | −0.521858 | − | 0.853032i | \(-0.674761\pi\) |
0.999677 | + | 0.0254261i | \(0.00809425\pi\) | |||||||
\(620\) | 1.01881 | + | 1.76463i | 0.0409163 | + | 0.0708692i | ||||
\(621\) | 16.1767 | − | 42.4219i | 0.649148 | − | 1.70233i | ||||
\(622\) | 8.28406 | − | 9.87256i | 0.332161 | − | 0.395853i | ||||
\(623\) | −2.84493 | + | 2.38718i | −0.113980 | + | 0.0956405i | ||||
\(624\) | 1.80023 | − | 0.308006i | 0.0720667 | − | 0.0123301i | ||||
\(625\) | −15.7470 | + | 5.73145i | −0.629881 | + | 0.229258i | ||||
\(626\) | −0.503622 | −0.0201288 | ||||||||
\(627\) | 19.7638 | − | 2.12905i | 0.789291 | − | 0.0850262i | ||||
\(628\) | 14.5369 | 0.580085 | ||||||||
\(629\) | 3.69770 | − | 1.34585i | 0.147437 | − | 0.0536627i | ||||
\(630\) | −5.15155 | + | 2.90486i | −0.205243 | + | 0.115732i | ||||
\(631\) | 21.9849 | − | 18.4475i | 0.875205 | − | 0.734385i | −0.0899821 | − | 0.995943i | \(-0.528681\pi\) |
0.965188 | + | 0.261559i | \(0.0842365\pi\) | |||||||
\(632\) | −17.6560 | + | 21.0416i | −0.702318 | + | 0.836990i | ||||
\(633\) | −17.9167 | + | 10.2232i | −0.712123 | + | 0.406334i | ||||
\(634\) | −3.38912 | − | 5.87013i | −0.134599 | − | 0.233132i | ||||
\(635\) | −4.28582 | + | 7.42326i | −0.170078 | + | 0.294583i | ||||
\(636\) | −10.4546 | − | 0.0531173i | −0.414553 | − | 0.00210624i | ||||
\(637\) | −0.428347 | + | 1.17687i | −0.0169717 | + | 0.0466294i | ||||
\(638\) | −19.0819 | − | 11.0170i | −0.755461 | − | 0.436166i | ||||
\(639\) | 7.64489 | + | 2.87082i | 0.302427 | + | 0.113568i | ||||
\(640\) | 3.65784 | − | 0.644976i | 0.144589 | − | 0.0254949i | ||||
\(641\) | 23.9818 | + | 20.1231i | 0.947225 | + | 0.794816i | 0.978828 | − | 0.204685i | \(-0.0656169\pi\) |
−0.0316033 | + | 0.999500i | \(0.510061\pi\) | |||||||
\(642\) | −5.62405 | + | 9.62783i | −0.221963 | + | 0.379980i | ||||
\(643\) | −2.95925 | + | 16.7827i | −0.116701 | + | 0.661846i | 0.869192 | + | 0.494474i | \(0.164639\pi\) |
−0.985894 | + | 0.167372i | \(0.946472\pi\) | |||||||
\(644\) | 9.17779 | + | 25.2158i | 0.361656 | + | 0.993640i | ||||
\(645\) | 0.651050 | + | 1.81742i | 0.0256351 | + | 0.0715610i | ||||
\(646\) | 1.06013 | − | 2.43112i | 0.0417103 | − | 0.0956511i | ||||
\(647\) | 3.40639i | 0.133919i | 0.997756 | + | 0.0669596i | \(0.0213299\pi\) | ||||
−0.997756 | + | 0.0669596i | \(0.978670\pi\) | |||||||
\(648\) | 4.05543 | + | 26.0893i | 0.159312 | + | 1.02488i | ||||
\(649\) | −19.4964 | − | 3.43774i | −0.765299 | − | 0.134943i | ||||
\(650\) | 5.18689 | + | 6.18149i | 0.203446 | + | 0.242458i | ||||
\(651\) | 4.03278 | − | 10.9072i | 0.158057 | − | 0.427488i | ||||
\(652\) | −4.22619 | − | 23.9679i | −0.165510 | − | 0.938655i | ||||
\(653\) | −4.29421 | + | 2.47926i | −0.168045 | + | 0.0970211i | −0.581664 | − | 0.813429i | \(-0.697598\pi\) |
0.413618 | + | 0.910450i | \(0.364265\pi\) | |||||||
\(654\) | −18.8886 | − | 3.42962i | −0.738605 | − | 0.134109i | ||||
\(655\) | 12.9482 | + | 4.71276i | 0.505928 | + | 0.184143i | ||||
\(656\) | −2.74979 | − | 1.00084i | −0.107361 | − | 0.0390763i | ||||
\(657\) | 2.69168 | + | 16.2278i | 0.105012 | + | 0.633107i | ||||
\(658\) | −22.9854 | + | 13.2706i | −0.896063 | + | 0.517342i | ||||
\(659\) | 2.99511 | + | 16.9861i | 0.116673 | + | 0.661686i | 0.985908 | + | 0.167287i | \(0.0535007\pi\) |
−0.869235 | + | 0.494399i | \(0.835388\pi\) | |||||||
\(660\) | −3.59007 | − | 1.32737i | −0.139743 | − | 0.0516680i | ||||
\(661\) | −15.2930 | − | 18.2255i | −0.594830 | − | 0.708891i | 0.381696 | − | 0.924288i | \(-0.375340\pi\) |
−0.976527 | + | 0.215397i | \(0.930896\pi\) | |||||||
\(662\) | 11.6201 | + | 2.04893i | 0.451627 | + | 0.0796340i | ||||
\(663\) | 1.66072 | − | 1.37919i | 0.0644969 | − | 0.0535633i | ||||
\(664\) | 23.8084i | 0.923943i | ||||||||
\(665\) | −2.57847 | − | 8.73861i | −0.0999889 | − | 0.338869i | ||||
\(666\) | 10.9582 | + | 13.3323i | 0.424621 | + | 0.516615i | ||||
\(667\) | −26.5166 | − | 72.8539i | −1.02673 | − | 2.82091i | ||||
\(668\) | 0.246049 | − | 1.39541i | 0.00951991 | − | 0.0539901i | ||||
\(669\) | −9.83878 | − | 5.74727i | −0.380389 | − | 0.222202i | ||||
\(670\) | 5.34996 | + | 4.48915i | 0.206687 | + | 0.173431i | ||||
\(671\) | 4.65225 | − | 0.820317i | 0.179598 | − | 0.0316680i | ||||
\(672\) | −19.5564 | − | 16.5798i | −0.754404 | − | 0.639580i | ||||
\(673\) | 9.66092 | + | 5.57774i | 0.372401 | + | 0.215006i | 0.674507 | − | 0.738268i | \(-0.264356\pi\) |
−0.302106 | + | 0.953274i | \(0.597690\pi\) | |||||||
\(674\) | −5.08631 | + | 13.9745i | −0.195917 | + | 0.538278i | ||||
\(675\) | −17.8520 | + | 14.5217i | −0.687123 | + | 0.558942i | ||||
\(676\) | 5.14591 | − | 8.91298i | 0.197920 | − | 0.342807i | ||||
\(677\) | −12.7624 | − | 22.1050i | −0.490497 | − | 0.849566i | 0.509443 | − | 0.860504i | \(-0.329851\pi\) |
−0.999940 | + | 0.0109384i | \(0.996518\pi\) | |||||||
\(678\) | −1.60691 | − | 2.81619i | −0.0617129 | − | 0.108155i | ||||
\(679\) | −24.1614 | + | 28.7945i | −0.927230 | + | 1.10503i | ||||
\(680\) | −1.09579 | + | 0.919473i | −0.0420215 | + | 0.0352602i | ||||
\(681\) | −5.52448 | − | 32.2893i | −0.211698 | − | 1.23733i | ||||
\(682\) | −5.66493 | + | 2.06187i | −0.216921 | + | 0.0789529i | ||||
\(683\) | −19.7577 | −0.756007 | −0.378004 | − | 0.925804i | \(-0.623389\pi\) | ||||
−0.378004 | + | 0.925804i | \(0.623389\pi\) | |||||||
\(684\) | −14.4836 | − | 1.04903i | −0.553796 | − | 0.0401108i | ||||
\(685\) | −5.92368 | −0.226332 | ||||||||
\(686\) | 15.5680 | − | 5.66630i | 0.594390 | − | 0.216340i | ||||
\(687\) | −2.79513 | − | 16.3369i | −0.106641 | − | 0.623291i | ||||
\(688\) | 0.616601 | − | 0.517389i | 0.0235077 | − | 0.0197253i | ||||
\(689\) | −6.74976 | + | 8.04406i | −0.257146 | + | 0.306454i | ||||
\(690\) | 5.34639 | + | 9.36985i | 0.203534 | + | 0.356704i | ||||
\(691\) | 6.70762 | + | 11.6179i | 0.255170 | + | 0.441967i | 0.964942 | − | 0.262465i | \(-0.0845353\pi\) |
−0.709772 | + | 0.704432i | \(0.751202\pi\) | |||||||
\(692\) | 1.67816 | − | 2.90666i | 0.0637941 | − | 0.110495i | ||||
\(693\) | 7.26229 | + | 20.6020i | 0.275872 | + | 0.782604i | ||||
\(694\) | −3.51052 | + | 9.64508i | −0.133258 | + | 0.366122i | ||||
\(695\) | −0.0553238 | − | 0.0319412i | −0.00209855 | − | 0.00121160i | ||||
\(696\) | 34.3903 | + | 29.1559i | 1.30356 | + | 1.10515i | ||||
\(697\) | −3.40622 | + | 0.600608i | −0.129020 | + | 0.0227497i | ||||
\(698\) | −22.1568 | − | 18.5917i | −0.838646 | − | 0.703708i | ||||
\(699\) | 25.3905 | + | 14.8317i | 0.960358 | + | 0.560988i | ||||
\(700\) | 2.36183 | − | 13.3946i | 0.0892690 | − | 0.506269i | ||||
\(701\) | −14.9221 | − | 40.9982i | −0.563601 | − | 1.54848i | −0.814318 | − | 0.580420i | \(-0.802889\pi\) |
0.250717 | − | 0.968060i | \(-0.419334\pi\) | |||||||
\(702\) | 8.12607 | + | 4.85821i | 0.306699 | + | 0.183361i | ||||
\(703\) | −23.8059 | + | 11.8379i | −0.897858 | + | 0.446474i | ||||
\(704\) | 16.1655i | 0.609260i | ||||||||
\(705\) | 10.2478 | − | 8.51061i | 0.385956 | − | 0.320528i | ||||
\(706\) | 10.1360 | + | 1.78725i | 0.381474 | + | 0.0672641i | ||||
\(707\) | −3.72607 | − | 4.44056i | −0.140133 | − | 0.167004i | ||||
\(708\) | 13.5649 | + | 5.01541i | 0.509800 | + | 0.188491i | ||||
\(709\) | −2.60312 | − | 14.7630i | −0.0977623 | − | 0.554438i | −0.993866 | − | 0.110593i | \(-0.964725\pi\) |
0.896104 | − | 0.443845i | \(-0.146386\pi\) | |||||||
\(710\) | −1.68040 | + | 0.970180i | −0.0630643 | + | 0.0364102i | ||||
\(711\) | −27.7108 | + | 4.59633i | −1.03924 | + | 0.172376i | ||||
\(712\) | −3.70191 | − | 1.34739i | −0.138735 | − | 0.0504954i | ||||
\(713\) | −19.9329 | − | 7.25497i | −0.746491 | − | 0.271701i | ||||
\(714\) | 2.86768 | + | 0.520685i | 0.107320 | + | 0.0194861i | ||||
\(715\) | −3.32938 | + | 1.92222i | −0.124512 | + | 0.0718870i | ||||
\(716\) | 2.31410 | + | 13.1239i | 0.0864820 | + | 0.490464i | ||||
\(717\) | −10.6800 | + | 28.8857i | −0.398853 | + | 1.07875i | ||||
\(718\) | −0.409948 | − | 0.488557i | −0.0152991 | − | 0.0182328i | ||||
\(719\) | 41.3087 | + | 7.28384i | 1.54056 | + | 0.271642i | 0.878474 | − | 0.477790i | \(-0.158562\pi\) |
0.662082 | + | 0.749432i | \(0.269673\pi\) | |||||||
\(720\) | −1.06545 | − | 0.629660i | −0.0397071 | − | 0.0234660i | ||||
\(721\) | − | 33.2715i | − | 1.23910i | ||||||
\(722\) | −5.27532 | + | 17.1255i | −0.196327 | + | 0.637345i | ||||
\(723\) | 3.88110 | + | 10.8342i | 0.144340 | + | 0.402928i | ||||
\(724\) | 2.95130 | + | 8.10864i | 0.109684 | + | 0.301355i | ||||
\(725\) | −6.82386 | + | 38.7000i | −0.253432 | + | 1.43728i | ||||
\(726\) | −3.35161 | + | 5.73763i | −0.124390 | + | 0.212943i | ||||
\(727\) | 11.3609 | + | 9.53290i | 0.421351 | + | 0.353556i | 0.828677 | − | 0.559727i | \(-0.189094\pi\) |
−0.407326 | + | 0.913283i | \(0.633539\pi\) | |||||||
\(728\) | −15.4355 | + | 2.72169i | −0.572077 | + | 0.100873i | ||||
\(729\) | −14.2064 | + | 22.9603i | −0.526164 | + | 0.850383i | ||||
\(730\) | −3.38493 | − | 1.95429i | −0.125282 | − | 0.0723314i | ||||
\(731\) | 0.325394 | − | 0.894013i | 0.0120351 | − | 0.0330663i | ||||
\(732\) | −3.45099 | − | 0.0175336i | −0.127552 | − | 0.000648059i | ||||
\(733\) | −0.804203 | + | 1.39292i | −0.0297039 | + | 0.0514487i | −0.880495 | − | 0.474055i | \(-0.842790\pi\) |
0.850791 | + | 0.525504i | \(0.176123\pi\) | |||||||
\(734\) | −0.580056 | − | 1.00469i | −0.0214103 | − | 0.0370836i | ||||
\(735\) | 0.737106 | − | 0.420590i | 0.0271886 | − | 0.0155137i | ||||
\(736\) | −30.0614 | + | 35.8258i | −1.10808 | + | 1.32056i | ||||
\(737\) | 19.7607 | − | 16.5812i | 0.727896 | − | 0.610778i | ||||
\(738\) | −7.45069 | − | 13.2132i | −0.274264 | − | 0.486386i | ||||
\(739\) | 1.21979 | − | 0.443965i | 0.0448705 | − | 0.0163315i | −0.319487 | − | 0.947591i | \(-0.603511\pi\) |
0.364358 | + | 0.931259i | \(0.381288\pi\) | |||||||
\(740\) | 5.11937 | 0.188192 | ||||||||
\(741\) | −10.1047 | + | 10.5181i | −0.371205 | + | 0.386393i | ||||
\(742\) | −14.1773 | −0.520466 | ||||||||
\(743\) | −8.68786 | + | 3.16212i | −0.318727 | + | 0.116007i | −0.496429 | − | 0.868077i | \(-0.665356\pi\) |
0.177703 | + | 0.984084i | \(0.443134\pi\) | |||||||
\(744\) | 12.1589 | − | 2.08030i | 0.445767 | − | 0.0762676i | ||||
\(745\) | −6.90847 | + | 5.79689i | −0.253107 | + | 0.212382i | ||||
\(746\) | 3.59152 | − | 4.28021i | 0.131495 | − | 0.156710i | ||||
\(747\) | −15.8387 | + | 18.4910i | −0.579508 | + | 0.676549i | ||||
\(748\) | 0.943151 | + | 1.63358i | 0.0344850 | + | 0.0597298i | ||||
\(749\) | 9.43835 | − | 16.3477i | 0.344870 | − | 0.597332i | ||||
\(750\) | 0.0591456 | − | 11.6411i | 0.00215969 | − | 0.425074i | ||||
\(751\) | 9.38727 | − | 25.7913i | 0.342546 | − | 0.941138i | −0.642107 | − | 0.766615i | \(-0.721939\pi\) |
0.984653 | − | 0.174523i | \(-0.0558383\pi\) | |||||||
\(752\) | −4.80999 | − | 2.77705i | −0.175402 | − | 0.101268i | ||||
\(753\) | 32.3332 | − | 38.1380i | 1.17829 | − | 1.38983i | ||||
\(754\) | 15.9216 | − | 2.80741i | 0.579831 | − | 0.102240i | ||||
\(755\) | −1.52807 | − | 1.28221i | −0.0556123 | − | 0.0466643i | ||||
\(756\) | −2.53123 | − | 15.7560i | −0.0920601 | − | 0.573041i | ||||
\(757\) | 3.02250 | − | 17.1414i | 0.109855 | − | 0.623016i | −0.879315 | − | 0.476240i | \(-0.841999\pi\) |
0.989170 | − | 0.146776i | \(-0.0468897\pi\) | |||||||
\(758\) | 3.36437 | + | 9.24353i | 0.122199 | + | 0.335740i | ||||
\(759\) | 37.5120 | − | 13.4378i | 1.36160 | − | 0.487762i | ||||
\(760\) | 6.66019 | − | 7.00357i | 0.241590 | − | 0.254046i | ||||
\(761\) | 8.35519i | 0.302875i | 0.988467 | + | 0.151438i | \(0.0483903\pi\) | ||||
−0.988467 | + | 0.151438i | \(0.951610\pi\) | |||||||
\(762\) | 11.8362 | + | 14.2523i | 0.428780 | + | 0.516305i | ||||
\(763\) | 32.0068 | + | 5.64366i | 1.15872 | + | 0.204314i | ||||
\(764\) | −0.767633 | − | 0.914829i | −0.0277720 | − | 0.0330974i | ||||
\(765\) | −1.46274 | − | 0.0148640i | −0.0528854 | − | 0.000537408i | ||||
\(766\) | −2.09547 | − | 11.8840i | −0.0757124 | − | 0.429386i | ||||
\(767\) | 12.5799 | − | 7.26301i | 0.454234 | − | 0.262252i | ||||
\(768\) | 5.23380 | − | 28.8252i | 0.188859 | − | 1.04014i | ||||
\(769\) | 31.8082 | + | 11.5772i | 1.14703 | + | 0.417486i | 0.844449 | − | 0.535636i | \(-0.179928\pi\) |
0.302585 | + | 0.953122i | \(0.402150\pi\) | |||||||
\(770\) | −4.87745 | − | 1.77525i | −0.175771 | − | 0.0639754i | ||||
\(771\) | 2.19763 | − | 12.1035i | 0.0791457 | − | 0.435896i | ||||
\(772\) | 1.86477 | − | 1.07663i | 0.0671146 | − | 0.0387487i | ||||
\(773\) | −7.25002 | − | 41.1169i | −0.260765 | − | 1.47887i | −0.780829 | − | 0.624744i | \(-0.785203\pi\) |
0.520064 | − | 0.854127i | \(-0.325908\pi\) | |||||||
\(774\) | 4.17229 | + | 0.0423978i | 0.149970 | + | 0.00152396i | ||||
\(775\) | 6.91105 | + | 8.23627i | 0.248252 | + | 0.295856i | ||||
\(776\) | −39.2671 | − | 6.92385i | −1.40961 | − | 0.248552i | ||||
\(777\) | −18.6662 | − | 22.4765i | −0.669647 | − | 0.806338i | ||||
\(778\) | 14.9607i | 0.536367i | ||||||||
\(779\) | 22.4137 | − | 6.61354i | 0.803055 | − | 0.236955i | ||||
\(780\) | 2.64395 | − | 0.947135i | 0.0946687 | − | 0.0339129i | ||||
\(781\) | 2.45124 | + | 6.73474i | 0.0877124 | + | 0.240988i | ||||
\(782\) | 0.923187 | − | 5.23566i | 0.0330131 | − | 0.187227i | ||||
\(783\) | 7.31329 | + | 45.5226i | 0.261356 | + | 1.62684i | ||||
\(784\) | −0.271059 | − | 0.227445i | −0.00968067 | − | 0.00812305i | ||||
\(785\) | −9.74359 | + | 1.71806i | −0.347763 | + | 0.0613201i | ||||
\(786\) | 19.2589 | − | 22.7164i | 0.686941 | − | 0.810269i | ||||
\(787\) | 26.7581 | + | 15.4488i | 0.953822 | + | 0.550689i | 0.894266 | − | 0.447536i | \(-0.147698\pi\) |
0.0595556 | + | 0.998225i | \(0.481032\pi\) | |||||||
\(788\) | 6.03503 | − | 16.5811i | 0.214989 | − | 0.590678i | ||||
\(789\) | 0.0134292 | − | 2.64315i | 0.000478090 | − | 0.0940986i | ||||
\(790\) | 3.33716 | − | 5.78013i | 0.118731 | − | 0.205648i | ||||
\(791\) | 2.74462 | + | 4.75381i | 0.0975873 | + | 0.169026i | ||||
\(792\) | −15.0743 | + | 17.5985i | −0.535642 | + | 0.625337i | ||||
\(793\) | −2.22804 | + | 2.65528i | −0.0791200 | + | 0.0942916i | ||||
\(794\) | 13.4162 | − | 11.2575i | 0.476122 | − | 0.399513i | ||||
\(795\) | 7.01366 | − | 1.19999i | 0.248749 | − | 0.0425592i | ||||
\(796\) | 2.89391 | − | 1.05330i | 0.102572 | − | 0.0373331i | ||||
\(797\) | 24.5528 | 0.869703 | 0.434852 | − | 0.900502i | \(-0.356801\pi\) | ||||
0.434852 | + | 0.900502i | \(0.356801\pi\) | |||||||
\(798\) | −19.6477 | − | 1.32275i | −0.695521 | − | 0.0468249i | ||||
\(799\) | −6.56479 | −0.232246 | ||||||||
\(800\) | 22.2752 | − | 8.10749i | 0.787546 | − | 0.286643i | ||||
\(801\) | −1.97876 | − | 3.50919i | −0.0699161 | − | 0.123991i | ||||
\(802\) | 23.6153 | − | 19.8156i | 0.833886 | − | 0.699714i | ||||
\(803\) | −9.27980 | + | 11.0592i | −0.327477 | + | 0.390272i | ||||
\(804\) | −16.3676 | + | 9.33926i | −0.577239 | + | 0.329370i | ||||
\(805\) | −9.13171 | − | 15.8166i | −0.321850 | − | 0.557461i | ||||
\(806\) | 2.21168 | − | 3.83075i | 0.0779032 | − | 0.134932i | ||||
\(807\) | −21.9436 | − | 0.111490i | −0.772451 | − | 0.00392462i | ||||
\(808\) | 2.10309 | − | 5.77818i | 0.0739863 | − | 0.203276i | ||||
\(809\) | 34.4237 | + | 19.8745i | 1.21027 | + | 0.698751i | 0.962819 | − | 0.270148i | \(-0.0870728\pi\) |
0.247454 | + | 0.968900i | \(0.420406\pi\) | |||||||
\(810\) | −2.07126 | − | 6.07192i | −0.0727766 | − | 0.213345i | ||||
\(811\) | −24.3550 | + | 4.29445i | −0.855221 | + | 0.150799i | −0.584035 | − | 0.811728i | \(-0.698527\pi\) |
−0.271186 | + | 0.962527i | \(0.587416\pi\) | |||||||
\(812\) | −20.8752 | − | 17.5163i | −0.732574 | − | 0.614703i | ||||
\(813\) | 19.8763 | − | 34.0264i | 0.697093 | − | 1.19336i | ||||
\(814\) | −2.63011 | + | 14.9161i | −0.0921852 | + | 0.522808i | ||||
\(815\) | 5.66533 | + | 15.5654i | 0.198448 | + | 0.545231i | ||||
\(816\) | 0.205687 | + | 0.574180i | 0.00720048 | + | 0.0201003i | ||||
\(817\) | −1.50719 | + | 6.24884i | −0.0527298 | + | 0.218619i | ||||
\(818\) | − | 17.2438i | − | 0.602917i | ||||||
\(819\) | −13.7987 | − | 8.15476i | −0.482166 | − | 0.284950i | ||||
\(820\) | −4.43143 | − | 0.781380i | −0.154752 | − | 0.0272870i | ||||
\(821\) | 0.437587 | + | 0.521496i | 0.0152719 | + | 0.0182003i | 0.773626 | − | 0.633642i | \(-0.218441\pi\) |
−0.758354 | + | 0.651842i | \(0.773996\pi\) | |||||||
\(822\) | −4.43999 | + | 12.0086i | −0.154862 | + | 0.418847i | ||||
\(823\) | 8.74011 | + | 49.5676i | 0.304661 | + | 1.72782i | 0.625096 | + | 0.780548i | \(0.285060\pi\) |
−0.320435 | + | 0.947270i | \(0.603829\pi\) | |||||||
\(824\) | 30.5651 | − | 17.6468i | 1.06479 | − | 0.614754i | ||||
\(825\) | −19.8718 | − | 3.60813i | −0.691848 | − | 0.125619i | ||||
\(826\) | 18.4292 | + | 6.70767i | 0.641233 | + | 0.233390i | ||||
\(827\) | −10.4120 | − | 3.78966i | −0.362061 | − | 0.131779i | 0.154583 | − | 0.987980i | \(-0.450597\pi\) |
−0.516644 | + | 0.856201i | \(0.672819\pi\) | |||||||
\(828\) | −28.7166 | + | 4.76316i | −0.997969 | + | 0.165531i | ||||
\(829\) | −15.6901 | + | 9.05871i | −0.544941 | + | 0.314622i | −0.747079 | − | 0.664735i | \(-0.768544\pi\) |
0.202138 | + | 0.979357i | \(0.435211\pi\) | |||||||
\(830\) | −1.00457 | − | 5.69722i | −0.0348693 | − | 0.197753i | ||||
\(831\) | −5.99096 | − | 2.21507i | −0.207824 | − | 0.0768398i | ||||
\(832\) | −7.62431 | − | 9.08629i | −0.264325 | − | 0.315011i | ||||
\(833\) | −0.411878 | − | 0.0726252i | −0.0142707 | − | 0.00251631i | ||||
\(834\) | −0.106219 | + | 0.0882124i | −0.00367806 | + | 0.00305455i | ||||
\(835\) | 0.964376i | 0.0333736i | ||||||||
\(836\) | −7.57006 | − | 10.2530i | −0.261816 | − | 0.354606i | ||||
\(837\) | 10.8273 | + | 6.47313i | 0.374245 | + | 0.223744i | ||||
\(838\) | −7.44597 | − | 20.4576i | −0.257217 | − | 0.706698i | ||||
\(839\) | 4.98678 | − | 28.2814i | 0.172163 | − | 0.976384i | −0.769205 | − | 0.639002i | \(-0.779348\pi\) |
0.941368 | − | 0.337382i | \(-0.109541\pi\) | |||||||
\(840\) | 9.17080 | + | 5.35707i | 0.316422 | + | 0.184836i | ||||
\(841\) | 38.0976 | + | 31.9677i | 1.31371 | + | 1.10233i | ||||
\(842\) | −10.7750 | + | 1.89993i | −0.371332 | + | 0.0654758i | ||||
\(843\) | −12.4789 | − | 10.5795i | −0.429795 | − | 0.364378i | ||||
\(844\) | 11.4537 | + | 6.61279i | 0.394253 | + | 0.227622i | ||||
\(845\) | −2.39574 | + | 6.58224i | −0.0824159 | + | 0.226436i | ||||
\(846\) | −9.57177 | − | 27.1536i | −0.329084 | − | 0.933560i | ||||
\(847\) | 5.62471 | − | 9.74228i | 0.193267 | − | 0.334749i | ||||
\(848\) | −1.48339 | − | 2.56931i | −0.0509400 | − | 0.0882306i | ||||
\(849\) | 14.1787 | + | 24.8490i | 0.486613 | + | 0.852816i | ||||
\(850\) | −1.73213 | + | 2.06427i | −0.0594115 | + | 0.0708039i | ||||
\(851\) | −40.8256 | + | 34.2567i | −1.39948 | + | 1.17430i | ||||
\(852\) | −0.882957 | − | 5.16068i | −0.0302496 | − | 0.176802i | ||||
\(853\) | −4.18389 | + | 1.52281i | −0.143254 | + | 0.0521401i | −0.412652 | − | 0.910889i | \(-0.635397\pi\) |
0.269398 | + | 0.963029i | \(0.413175\pi\) | |||||||
\(854\) | −4.67982 | −0.160140 | ||||||||
\(855\) | 9.83187 | − | 1.00863i | 0.336243 | − | 0.0344945i | ||||
\(856\) | 20.0239 | 0.684402 | ||||||||
\(857\) | −39.7782 | + | 14.4781i | −1.35880 | + | 0.494562i | −0.915683 | − | 0.401902i | \(-0.868349\pi\) |
−0.443116 | + | 0.896464i | \(0.646127\pi\) | |||||||
\(858\) | 1.40128 | + | 8.19015i | 0.0478388 | + | 0.279607i | ||||
\(859\) | −16.2198 | + | 13.6100i | −0.553411 | + | 0.464367i | −0.876094 | − | 0.482140i | \(-0.839860\pi\) |
0.322683 | + | 0.946507i | \(0.395415\pi\) | |||||||
\(860\) | 0.795603 | − | 0.948162i | 0.0271298 | − | 0.0323321i | ||||
\(861\) | 12.7272 | + | 22.3051i | 0.433742 | + | 0.760156i | ||||
\(862\) | −4.12944 | − | 7.15240i | −0.140649 | − | 0.243612i | ||||
\(863\) | −12.2868 | + | 21.2813i | −0.418246 | + | 0.724424i | −0.995763 | − | 0.0919547i | \(-0.970688\pi\) |
0.577517 | + | 0.816379i | \(0.304022\pi\) | |||||||
\(864\) | 21.5754 | − | 17.5505i | 0.734009 | − | 0.597081i | ||||
\(865\) | −0.781288 | + | 2.14657i | −0.0265646 | + | 0.0729856i | ||||
\(866\) | 28.5506 | + | 16.4837i | 0.970188 | + | 0.560138i | ||||
\(867\) | −21.9097 | − | 18.5750i | −0.744094 | − | 0.630839i | ||||
\(868\) | −7.34251 | + | 1.29468i | −0.249221 | + | 0.0439444i | ||||
\(869\) | −18.8849 | − | 15.8463i | −0.640625 | − | 0.537548i | ||||
\(870\) | −9.45963 | − | 5.52579i | −0.320711 | − | 0.187342i | ||||
\(871\) | −3.28673 | + | 18.6400i | −0.111366 | + | 0.631591i | ||||
\(872\) | 11.7914 | + | 32.3965i | 0.399306 | + | 1.09709i | ||||
\(873\) | −25.8910 | − | 31.5002i | −0.876276 | − | 1.06612i | ||||
\(874\) | −2.23070 | + | 35.8510i | −0.0754545 | + | 1.21268i | ||||
\(875\) | 19.7082i | 0.666260i | ||||||||
\(876\) | 8.11344 | − | 6.73803i | 0.274128 | − | 0.227657i | ||||
\(877\) | 51.5733 | + | 9.09377i | 1.74151 | + | 0.307075i | 0.951871 | − | 0.306499i | \(-0.0991577\pi\) |
0.789637 | + | 0.613574i | \(0.210269\pi\) | |||||||
\(878\) | 12.6491 | + | 15.0747i | 0.426888 | + | 0.508745i | ||||
\(879\) | −42.1266 | − | 15.5757i | −1.42090 | − | 0.525354i | ||||
\(880\) | −0.188612 | − | 1.06967i | −0.00635811 | − | 0.0360586i | ||||
\(881\) | −11.8654 | + | 6.85051i | −0.399756 | + | 0.230799i | −0.686379 | − | 0.727244i | \(-0.740801\pi\) |
0.286623 | + | 0.958044i | \(0.407467\pi\) | |||||||
\(882\) | −0.300141 | − | 1.80952i | −0.0101063 | − | 0.0609297i | ||||
\(883\) | −50.1392 | − | 18.2492i | −1.68732 | − | 0.614134i | −0.693036 | − | 0.720903i | \(-0.743727\pi\) |
−0.994284 | + | 0.106769i | \(0.965950\pi\) | |||||||
\(884\) | −1.30059 | − | 0.473377i | −0.0437436 | − | 0.0159214i | ||||
\(885\) | −9.68483 | − | 1.75848i | −0.325552 | − | 0.0591106i | ||||
\(886\) | 3.04286 | − | 1.75680i | 0.102227 | − | 0.0590208i | ||||
\(887\) | 5.01003 | + | 28.4133i | 0.168220 | + | 0.954025i | 0.945682 | + | 0.325094i | \(0.105396\pi\) |
−0.777461 | + | 0.628931i | \(0.783493\pi\) | |||||||
\(888\) | 10.7478 | − | 29.0690i | 0.360673 | − | 0.975492i | ||||
\(889\) | −20.1605 | − | 24.0264i | −0.676162 | − | 0.805819i | ||||
\(890\) | 0.942701 | + | 0.166224i | 0.0315994 | + | 0.00557183i | ||||
\(891\) | −23.4151 | + | 3.63975i | −0.784437 | + | 0.121936i | ||||
\(892\) | 7.30546i | 0.244605i | ||||||||
\(893\) | 44.0750 | − | 4.97463i | 1.47491 | − | 0.166470i | ||||
\(894\) | 6.57344 | + | 18.3499i | 0.219849 | + | 0.613713i | ||||
\(895\) | −3.10212 | − | 8.52301i | −0.103693 | − | 0.284893i | ||||
\(896\) | −2.36001 | + | 13.3843i | −0.0788425 | + | 0.447138i | ||||
\(897\) | −14.7469 | + | 25.2454i | −0.492386 | + | 0.842918i | ||||
\(898\) | 5.06845 | + | 4.25293i | 0.169136 | + | 0.141922i | ||||
\(899\) | 21.2141 | − | 3.74062i | 0.707530 | − | 0.124757i | ||||
\(900\) | 13.8125 | + | 5.18689i | 0.460417 | + | 0.172896i | ||||
\(901\) | −3.03686 | − | 1.75333i | −0.101173 | − | 0.0584120i | ||||
\(902\) | 4.55334 | − | 12.5102i | 0.151610 | − | 0.416544i | ||||
\(903\) | −7.06380 | − | 0.0358893i | −0.235069 | − | 0.00119432i | ||||
\(904\) | −2.91141 | + | 5.04271i | −0.0968321 | + | 0.167718i | ||||
\(905\) | −2.93648 | − | 5.08614i | −0.0976120 | − | 0.169069i | ||||
\(906\) | −3.74465 | + | 2.13668i | −0.124408 | + | 0.0709865i | ||||
\(907\) | −4.09841 | + | 4.88429i | −0.136085 | + | 0.162180i | −0.829783 | − | 0.558086i | \(-0.811536\pi\) |
0.693698 | + | 0.720266i | \(0.255980\pi\) | |||||||
\(908\) | −16.0892 | + | 13.5004i | −0.533938 | + | 0.448027i | ||||
\(909\) | 5.47736 | − | 3.08858i | 0.181673 | − | 0.102442i | ||||
\(910\) | 3.57879 | − | 1.30257i | 0.118636 | − | 0.0431799i | ||||
\(911\) | 20.6085 | 0.682792 | 0.341396 | − | 0.939920i | \(-0.389100\pi\) | ||||
0.341396 | + | 0.939920i | \(0.389100\pi\) | |||||||
\(912\) | −1.81605 | − | 3.69909i | −0.0601354 | − | 0.122489i | ||||
\(913\) | −21.3680 | −0.707178 | ||||||||
\(914\) | −26.8982 | + | 9.79015i | −0.889714 | + | 0.323829i | ||||
\(915\) | 2.31515 | − | 0.396106i | 0.0765365 | − | 0.0130949i | ||||
\(916\) | −8.14036 | + | 6.83058i | −0.268965 | + | 0.225689i | ||||
\(917\) | −32.4087 | + | 38.6232i | −1.07023 | + | 1.27545i | ||||
\(918\) | −1.12650 | + | 2.95415i | −0.0371801 | + | 0.0975014i | ||||
\(919\) | 19.9111 | + | 34.4870i | 0.656806 | + | 1.13762i | 0.981438 | + | 0.191781i | \(0.0614264\pi\) |
−0.324631 | + | 0.945841i | \(0.605240\pi\) | |||||||
\(920\) | 9.68666 | − | 16.7778i | 0.319360 | − | 0.553147i | ||||
\(921\) | 0.104774 | − | 20.6219i | 0.00345243 | − | 0.679513i | ||||
\(922\) | 6.24349 | − | 17.1539i | 0.205618 | − | 0.564932i | ||||
\(923\) | −4.55417 | − | 2.62935i | −0.149902 | − | 0.0865462i | ||||
\(924\) | 9.05693 | − | 10.6829i | 0.297951 | − | 0.351442i | ||||
\(925\) | 26.6025 | − | 4.69074i | 0.874685 | − | 0.154231i | ||||
\(926\) | −9.47384 | − | 7.94949i | −0.311330 | − | 0.261237i | ||||
\(927\) | 35.4783 | + | 6.62817i | 1.16526 | + | 0.217698i | ||||
\(928\) | 8.24711 | − | 46.7717i | 0.270725 | − | 1.53536i | ||||
\(929\) | 3.83622 | + | 10.5399i | 0.125862 | + | 0.345804i | 0.986580 | − | 0.163279i | \(-0.0522070\pi\) |
−0.860718 | + | 0.509083i | \(0.829985\pi\) | |||||||
\(930\) | −2.82179 | + | 1.01084i | −0.0925301 | + | 0.0331468i | ||||
\(931\) | 2.82032 | + | 0.175484i | 0.0924323 | + | 0.00575126i | ||||
\(932\) | − | 18.8529i | − | 0.617547i | ||||||
\(933\) | −15.1212 | − | 18.2078i | −0.495045 | − | 0.596097i | ||||
\(934\) | −33.6760 | − | 5.93798i | −1.10191 | − | 0.194297i | ||||
\(935\) | −0.825228 | − | 0.983469i | −0.0269879 | − | 0.0321629i | ||||
\(936\) | 0.172764 | − | 17.0014i | 0.00564697 | − | 0.555709i | ||||
\(937\) | −7.56135 | − | 42.8826i | −0.247019 | − | 1.40091i | −0.815757 | − | 0.578394i | \(-0.803680\pi\) |
0.568739 | − | 0.822518i | \(-0.307432\pi\) | |||||||
\(938\) | −22.1308 | + | 12.7772i | −0.722597 | + | 0.417191i | ||||
\(939\) | −0.165231 | + | 0.910012i | −0.00539212 | + | 0.0296971i | ||||
\(940\) | −8.02560 | − | 2.92108i | −0.261766 | − | 0.0952751i | ||||
\(941\) | −36.3696 | − | 13.2374i | −1.18561 | − | 0.431529i | −0.327433 | − | 0.944874i | \(-0.606184\pi\) |
−0.858182 | + | 0.513346i | \(0.828406\pi\) | |||||||
\(942\) | −3.82026 | + | 21.0401i | −0.124471 | + | 0.685523i | ||||
\(943\) | 40.5680 | − | 23.4220i | 1.32108 | − | 0.762724i | ||||
\(944\) | 0.712660 | + | 4.04169i | 0.0231951 | + | 0.131546i | ||||
\(945\) | 3.55874 | + | 10.2616i | 0.115766 | + | 0.333809i | ||||
\(946\) | 2.35387 | + | 2.80523i | 0.0765309 | + | 0.0912060i | ||||
\(947\) | 39.6810 | + | 6.99682i | 1.28946 | + | 0.227366i | 0.775991 | − | 0.630743i | \(-0.217250\pi\) |
0.513466 | + | 0.858110i | \(0.328361\pi\) | |||||||
\(948\) | 11.5059 | + | 13.8546i | 0.373695 | + | 0.449976i | ||||
\(949\) | − | 10.5929i | − | 0.343860i | ||||||
\(950\) | 10.0650 | − | 15.1718i | 0.326552 | − | 0.492237i | ||||
\(951\) | −11.7189 | + | 4.19801i | −0.380010 | + | 0.136130i | ||||
\(952\) | −1.79017 | − | 4.91845i | −0.0580197 | − | 0.159408i | ||||
\(953\) | −2.40512 | + | 13.6401i | −0.0779096 | + | 0.441847i | 0.920753 | + | 0.390146i | \(0.127575\pi\) |
−0.998663 | + | 0.0517013i | \(0.983536\pi\) | |||||||
\(954\) | 2.82433 | − | 15.1176i | 0.0914411 | − | 0.489452i | ||||
\(955\) | 0.622638 | + | 0.522455i | 0.0201481 | + | 0.0169063i | ||||
\(956\) | 19.4452 | − | 3.42872i | 0.628903 | − | 0.110893i | ||||
\(957\) | −26.1674 | + | 30.8653i | −0.845873 | + | 0.997734i | ||||
\(958\) | 9.04139 | + | 5.22005i | 0.292114 | + | 0.168652i | ||||
\(959\) | 7.41334 | − | 20.3680i | 0.239389 | − | 0.657716i | ||||
\(960\) | −0.0408360 | + | 8.03741i | −0.00131798 | + | 0.259406i | ||||
\(961\) | −12.5531 | + | 21.7427i | −0.404940 | + | 0.701376i | ||||
\(962\) | −5.55670 | − | 9.62449i | −0.179155 | − | 0.310306i | ||||
\(963\) | 15.5517 | + | 13.3210i | 0.501147 | + | 0.429265i | ||||
\(964\) | 4.74282 | − | 5.65227i | 0.152756 | − | 0.182047i | ||||
\(965\) | −1.12265 | + | 0.942016i | −0.0361394 | + | 0.0303246i | ||||
\(966\) | −38.9081 | + | 6.65691i | −1.25185 | + | 0.214183i | ||||
\(967\) | 7.29648 | − | 2.65570i | 0.234639 | − | 0.0854016i | −0.222025 | − | 0.975041i | \(-0.571267\pi\) |
0.456664 | + | 0.889639i | \(0.349044\pi\) | |||||||
\(968\) | 11.9331 | 0.383543 | ||||||||
\(969\) | −4.04506 | − | 2.71320i | −0.129946 | − | 0.0871606i | ||||
\(970\) | 9.68856 | 0.311081 | ||||||||
\(971\) | −19.9285 | + | 7.25337i | −0.639535 | + | 0.232772i | −0.641376 | − | 0.767227i | \(-0.721636\pi\) |
0.00184129 | + | 0.999998i | \(0.499414\pi\) | |||||||
\(972\) | 17.3053 | + | 0.439709i | 0.555067 | + | 0.0141037i | ||||
\(973\) | 0.179063 | − | 0.150252i | 0.00574050 | − | 0.00481685i | ||||
\(974\) | −11.6912 | + | 13.9330i | −0.374609 | + | 0.446442i | ||||
\(975\) | 12.8713 | − | 7.34431i | 0.412211 | − | 0.235206i | ||||
\(976\) | −0.489656 | − | 0.848109i | −0.0156735 | − | 0.0271473i | ||||
\(977\) | 29.9393 | − | 51.8564i | 0.957844 | − | 1.65903i | 0.230121 | − | 0.973162i | \(-0.426088\pi\) |
0.727722 | − | 0.685872i | \(-0.240579\pi\) | |||||||
\(978\) | 35.8007 | + | 0.181894i | 1.14478 | + | 0.00581634i | ||||
\(979\) | 1.20928 | − | 3.32247i | 0.0386488 | − | 0.106187i | ||||
\(980\) | −0.471215 | − | 0.272056i | −0.0150524 | − | 0.00869051i | ||||
\(981\) | −12.3942 | + | 33.0054i | −0.395716 | + | 1.05378i | ||||
\(982\) | −18.9939 | + | 3.34914i | −0.606120 | + | 0.106875i | ||||
\(983\) | −1.76552 | − | 1.48145i | −0.0563114 | − | 0.0472509i | 0.614198 | − | 0.789152i | \(-0.289480\pi\) |
−0.670509 | + | 0.741901i | \(0.733924\pi\) | |||||||
\(984\) | −13.7404 | + | 23.5222i | −0.438027 | + | 0.749861i | ||||
\(985\) | −2.08542 | + | 11.8270i | −0.0664470 | + | 0.376840i | ||||
\(986\) | 1.84655 | + | 5.07335i | 0.0588061 | + | 0.161568i | ||||
\(987\) | 16.4380 | + | 45.8870i | 0.523226 | + | 1.46060i | ||||
\(988\) | 9.09069 | + | 2.19263i | 0.289213 | + | 0.0697567i | ||||
\(989\) | 12.8852i | 0.409725i | ||||||||
\(990\) | 2.86465 | − | 4.84729i | 0.0910445 | − | 0.154057i | ||||
\(991\) | −47.0657 | − | 8.29896i | −1.49509 | − | 0.263625i | −0.634501 | − | 0.772922i | \(-0.718795\pi\) |
−0.860591 | + | 0.509297i | \(0.829906\pi\) | |||||||
\(992\) | −8.35249 | − | 9.95411i | −0.265192 | − | 0.316043i | ||||
\(993\) | 7.51467 | − | 20.3245i | 0.238471 | − | 0.644978i | ||||
\(994\) | −1.23289 | − | 6.99204i | −0.0391048 | − | 0.221774i | ||||
\(995\) | −1.81520 | + | 1.04801i | −0.0575457 | + | 0.0332240i | ||||
\(996\) | 15.3588 | + | 2.78871i | 0.486664 | + | 0.0883637i | ||||
\(997\) | 32.6262 | + | 11.8750i | 1.03328 | + | 0.376084i | 0.802329 | − | 0.596882i | \(-0.203594\pi\) |
0.230952 | + | 0.972965i | \(0.425816\pi\) | |||||||
\(998\) | 30.5563 | + | 11.1216i | 0.967243 | + | 0.352047i | ||||
\(999\) | 27.6858 | − | 15.4266i | 0.875940 | − | 0.488076i |
(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 | 57.2.j.b.14.3 | yes | 24 | |
3.2 | odd | 2 | inner | 57.2.j.b.14.2 | ✓ | 24 | |
4.3 | odd | 2 | 912.2.cc.e.641.1 | 24 | |||
12.11 | even | 2 | 912.2.cc.e.641.2 | 24 | |||
19.2 | odd | 18 | 1083.2.d.d.1082.13 | 24 | |||
19.15 | odd | 18 | inner | 57.2.j.b.53.2 | yes | 24 | |
19.17 | even | 9 | 1083.2.d.d.1082.11 | 24 | |||
57.2 | even | 18 | 1083.2.d.d.1082.12 | 24 | |||
57.17 | odd | 18 | 1083.2.d.d.1082.14 | 24 | |||
57.53 | even | 18 | inner | 57.2.j.b.53.3 | yes | 24 | |
76.15 | even | 18 | 912.2.cc.e.737.2 | 24 | |||
228.167 | odd | 18 | 912.2.cc.e.737.1 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
57.2.j.b.14.2 | ✓ | 24 | 3.2 | odd | 2 | inner | |
57.2.j.b.14.3 | yes | 24 | 1.1 | even | 1 | trivial | |
57.2.j.b.53.2 | yes | 24 | 19.15 | odd | 18 | inner | |
57.2.j.b.53.3 | yes | 24 | 57.53 | even | 18 | inner | |
912.2.cc.e.641.1 | 24 | 4.3 | odd | 2 | |||
912.2.cc.e.641.2 | 24 | 12.11 | even | 2 | |||
912.2.cc.e.737.1 | 24 | 228.167 | odd | 18 | |||
912.2.cc.e.737.2 | 24 | 76.15 | even | 18 | |||
1083.2.d.d.1082.11 | 24 | 19.17 | even | 9 | |||
1083.2.d.d.1082.12 | 24 | 57.2 | even | 18 | |||
1083.2.d.d.1082.13 | 24 | 19.2 | odd | 18 | |||
1083.2.d.d.1082.14 | 24 | 57.17 | odd | 18 |