Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(85,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.q (of order \(11\), degree \(10\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 463.3 | ||
Character | \(\chi\) | \(=\) | 966.463 |
Dual form | 966.2.q.j.169.3 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | − | 0.989821i | −0.100632 | − | 0.699909i | ||||
\(3\) | −0.415415 | + | 0.909632i | −0.239840 | + | 0.525176i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | 0.0335087 | − | 0.0386712i | 0.0149856 | − | 0.0172943i | −0.748207 | − | 0.663465i | \(-0.769085\pi\) |
0.763193 | + | 0.646171i | \(0.223631\pi\) | |||||||
\(6\) | 0.959493 | + | 0.281733i | 0.391711 | + | 0.115017i | ||||
\(7\) | −0.841254 | + | 0.540641i | −0.317964 | + | 0.204343i | ||||
\(8\) | 0.415415 | + | 0.909632i | 0.146871 | + | 0.321603i | ||||
\(9\) | −0.654861 | − | 0.755750i | −0.218287 | − | 0.251917i | ||||
\(10\) | −0.0430463 | − | 0.0276642i | −0.0136124 | − | 0.00874819i | ||||
\(11\) | 0.0735080 | − | 0.511259i | 0.0221635 | − | 0.154151i | −0.975734 | − | 0.218958i | \(-0.929734\pi\) |
0.997898 | + | 0.0648075i | \(0.0206433\pi\) | |||||||
\(12\) | 0.142315 | − | 0.989821i | 0.0410828 | − | 0.285737i | ||||
\(13\) | −2.90851 | − | 1.86919i | −0.806676 | − | 0.518419i | 0.0711118 | − | 0.997468i | \(-0.477345\pi\) |
−0.877788 | + | 0.479049i | \(0.840982\pi\) | |||||||
\(14\) | 0.654861 | + | 0.755750i | 0.175019 | + | 0.201983i | ||||
\(15\) | 0.0212565 | + | 0.0465452i | 0.00548840 | + | 0.0120179i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | 2.55778 | + | 0.751031i | 0.620352 | + | 0.182152i | 0.576781 | − | 0.816899i | \(-0.304308\pi\) |
0.0435706 | + | 0.999050i | \(0.486127\pi\) | |||||||
\(18\) | −0.654861 | + | 0.755750i | −0.154352 | + | 0.178132i | ||||
\(19\) | −1.27742 | + | 0.375084i | −0.293060 | + | 0.0860501i | −0.424958 | − | 0.905213i | \(-0.639711\pi\) |
0.131898 | + | 0.991263i | \(0.457893\pi\) | |||||||
\(20\) | −0.0212565 | + | 0.0465452i | −0.00475309 | + | 0.0104078i | ||||
\(21\) | −0.142315 | − | 0.989821i | −0.0310556 | − | 0.215997i | ||||
\(22\) | −0.516517 | −0.110122 | ||||||||
\(23\) | −1.23319 | − | 4.63457i | −0.257139 | − | 0.966375i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 0.711202 | + | 4.94652i | 0.142240 | + | 0.989303i | ||||
\(26\) | −1.43624 | + | 3.14492i | −0.281669 | + | 0.616770i | ||||
\(27\) | 0.959493 | − | 0.281733i | 0.184655 | − | 0.0542195i | ||||
\(28\) | 0.654861 | − | 0.755750i | 0.123757 | − | 0.142823i | ||||
\(29\) | −6.48403 | − | 1.90388i | −1.20405 | − | 0.353542i | −0.382652 | − | 0.923893i | \(-0.624989\pi\) |
−0.821401 | + | 0.570351i | \(0.806807\pi\) | |||||||
\(30\) | 0.0430463 | − | 0.0276642i | 0.00785915 | − | 0.00505077i | ||||
\(31\) | −2.66153 | − | 5.82794i | −0.478025 | − | 1.04673i | −0.983002 | − | 0.183596i | \(-0.941226\pi\) |
0.504976 | − | 0.863133i | \(-0.331501\pi\) | |||||||
\(32\) | −0.654861 | − | 0.755750i | −0.115764 | − | 0.133599i | ||||
\(33\) | 0.434522 | + | 0.279250i | 0.0756405 | + | 0.0486112i | ||||
\(34\) | 0.379377 | − | 2.63863i | 0.0650626 | − | 0.452520i | ||||
\(35\) | −0.00728215 | + | 0.0506484i | −0.00123091 | + | 0.00856115i | ||||
\(36\) | 0.841254 | + | 0.540641i | 0.140209 | + | 0.0901068i | ||||
\(37\) | −4.42232 | − | 5.10363i | −0.727025 | − | 0.839031i | 0.265109 | − | 0.964219i | \(-0.414592\pi\) |
−0.992133 | + | 0.125188i | \(0.960047\pi\) | |||||||
\(38\) | 0.553061 | + | 1.21104i | 0.0897184 | + | 0.196456i | ||||
\(39\) | 2.90851 | − | 1.86919i | 0.465735 | − | 0.299310i | ||||
\(40\) | 0.0490966 | + | 0.0144160i | 0.00776285 | + | 0.00227938i | ||||
\(41\) | 0.924107 | − | 1.06648i | 0.144321 | − | 0.166556i | −0.678987 | − | 0.734151i | \(-0.737581\pi\) |
0.823308 | + | 0.567595i | \(0.192126\pi\) | |||||||
\(42\) | −0.959493 | + | 0.281733i | −0.148053 | + | 0.0434723i | ||||
\(43\) | 5.11759 | − | 11.2060i | 0.780425 | − | 1.70889i | 0.0782006 | − | 0.996938i | \(-0.475083\pi\) |
0.702225 | − | 0.711955i | \(-0.252190\pi\) | |||||||
\(44\) | 0.0735080 | + | 0.511259i | 0.0110818 | + | 0.0770753i | ||||
\(45\) | −0.0511693 | −0.00762786 | ||||||||
\(46\) | −4.41189 | + | 1.88021i | −0.650498 | + | 0.277222i | ||||
\(47\) | −6.09783 | −0.889460 | −0.444730 | − | 0.895665i | \(-0.646700\pi\) | ||||
−0.444730 | + | 0.895665i | \(0.646700\pi\) | |||||||
\(48\) | 0.142315 | + | 0.989821i | 0.0205414 | + | 0.142868i | ||||
\(49\) | 0.415415 | − | 0.909632i | 0.0593450 | − | 0.129947i | ||||
\(50\) | 4.79495 | − | 1.40793i | 0.678109 | − | 0.199111i | ||||
\(51\) | −1.74570 | + | 2.01465i | −0.244447 | + | 0.282107i | ||||
\(52\) | 3.31731 | + | 0.974050i | 0.460028 | + | 0.135076i | ||||
\(53\) | −9.23522 | + | 5.93512i | −1.26856 | + | 0.815251i | −0.989431 | − | 0.145004i | \(-0.953681\pi\) |
−0.279125 | + | 0.960255i | \(0.590044\pi\) | |||||||
\(54\) | −0.415415 | − | 0.909632i | −0.0565308 | − | 0.123785i | ||||
\(55\) | −0.0173078 | − | 0.0199743i | −0.00233379 | − | 0.00269333i | ||||
\(56\) | −0.841254 | − | 0.540641i | −0.112417 | − | 0.0722462i | ||||
\(57\) | 0.189470 | − | 1.31779i | 0.0250960 | − | 0.174546i | ||||
\(58\) | −0.961730 | + | 6.68898i | −0.126281 | + | 0.878306i | ||||
\(59\) | 6.76278 | + | 4.34617i | 0.880439 | + | 0.565823i | 0.900929 | − | 0.433967i | \(-0.142886\pi\) |
−0.0204904 | + | 0.999790i | \(0.506523\pi\) | |||||||
\(60\) | −0.0335087 | − | 0.0386712i | −0.00432596 | − | 0.00499242i | ||||
\(61\) | −5.30493 | − | 11.6162i | −0.679227 | − | 1.48730i | −0.863460 | − | 0.504417i | \(-0.831707\pi\) |
0.184233 | − | 0.982883i | \(-0.441020\pi\) | |||||||
\(62\) | −5.38985 | + | 3.46385i | −0.684511 | + | 0.439909i | ||||
\(63\) | 0.959493 | + | 0.281733i | 0.120885 | + | 0.0354950i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | −0.169744 | + | 0.0498414i | −0.0210542 | + | 0.00618207i | ||||
\(66\) | 0.214569 | − | 0.469840i | 0.0264116 | − | 0.0578333i | ||||
\(67\) | −1.24276 | − | 8.64357i | −0.151827 | − | 1.05598i | −0.913155 | − | 0.407613i | \(-0.866361\pi\) |
0.761328 | − | 0.648367i | \(-0.224548\pi\) | |||||||
\(68\) | −2.66576 | −0.323271 | ||||||||
\(69\) | 4.72804 | + | 0.803518i | 0.569189 | + | 0.0967321i | ||||
\(70\) | 0.0511693 | 0.00611590 | ||||||||
\(71\) | −0.357773 | − | 2.48837i | −0.0424599 | − | 0.295315i | −0.999976 | − | 0.00693504i | \(-0.997792\pi\) |
0.957516 | − | 0.288380i | \(-0.0931166\pi\) | |||||||
\(72\) | 0.415415 | − | 0.909632i | 0.0489571 | − | 0.107201i | ||||
\(73\) | −9.27120 | + | 2.72227i | −1.08511 | + | 0.318618i | −0.774922 | − | 0.632057i | \(-0.782211\pi\) |
−0.310190 | + | 0.950675i | \(0.600393\pi\) | |||||||
\(74\) | −4.42232 | + | 5.10363i | −0.514084 | + | 0.593285i | ||||
\(75\) | −4.79495 | − | 1.40793i | −0.553673 | − | 0.162573i | ||||
\(76\) | 1.12000 | − | 0.719780i | 0.128473 | − | 0.0825644i | ||||
\(77\) | 0.214569 | + | 0.469840i | 0.0244524 | + | 0.0535433i | ||||
\(78\) | −2.26409 | − | 2.61290i | −0.256357 | − | 0.295852i | ||||
\(79\) | −4.57727 | − | 2.94163i | −0.514983 | − | 0.330960i | 0.257201 | − | 0.966358i | \(-0.417200\pi\) |
−0.772185 | + | 0.635398i | \(0.780836\pi\) | |||||||
\(80\) | 0.00728215 | − | 0.0506484i | 0.000814169 | − | 0.00566267i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | −1.18714 | − | 0.762926i | −0.131097 | − | 0.0842510i | ||||
\(83\) | 5.44262 | + | 6.28112i | 0.597405 | + | 0.689442i | 0.971254 | − | 0.238048i | \(-0.0765074\pi\) |
−0.373848 | + | 0.927490i | \(0.621962\pi\) | |||||||
\(84\) | 0.415415 | + | 0.909632i | 0.0453255 | + | 0.0992490i | ||||
\(85\) | 0.114751 | − | 0.0737461i | 0.0124465 | − | 0.00799888i | ||||
\(86\) | −11.8202 | − | 3.47073i | −1.27461 | − | 0.374258i | ||||
\(87\) | 4.42539 | − | 5.10718i | 0.474452 | − | 0.547547i | ||||
\(88\) | 0.495594 | − | 0.145520i | 0.0528305 | − | 0.0155124i | ||||
\(89\) | −6.34017 | + | 13.8830i | −0.672057 | + | 1.47160i | 0.198788 | + | 0.980043i | \(0.436300\pi\) |
−0.870845 | + | 0.491557i | \(0.836428\pi\) | |||||||
\(90\) | 0.00728215 | + | 0.0506484i | 0.000767606 | + | 0.00533881i | ||||
\(91\) | 3.45736 | 0.362429 | ||||||||
\(92\) | 2.48895 | + | 4.09941i | 0.259491 | + | 0.427393i | ||||
\(93\) | 6.40693 | 0.664367 | ||||||||
\(94\) | 0.867812 | + | 6.03576i | 0.0895079 | + | 0.622541i | ||||
\(95\) | −0.0282997 | + | 0.0619678i | −0.00290349 | + | 0.00635776i | ||||
\(96\) | 0.959493 | − | 0.281733i | 0.0979278 | − | 0.0287542i | ||||
\(97\) | 5.11400 | − | 5.90187i | 0.519248 | − | 0.599244i | −0.434194 | − | 0.900819i | \(-0.642967\pi\) |
0.953442 | + | 0.301575i | \(0.0975123\pi\) | |||||||
\(98\) | −0.959493 | − | 0.281733i | −0.0969234 | − | 0.0284593i | ||||
\(99\) | −0.434522 | + | 0.279250i | −0.0436711 | + | 0.0280657i | ||||
\(100\) | −2.07599 | − | 4.54578i | −0.207599 | − | 0.454578i | ||||
\(101\) | −0.332880 | − | 0.384164i | −0.0331228 | − | 0.0382258i | 0.738946 | − | 0.673764i | \(-0.235324\pi\) |
−0.772069 | + | 0.635538i | \(0.780778\pi\) | |||||||
\(102\) | 2.24258 | + | 1.44122i | 0.222048 | + | 0.142702i | ||||
\(103\) | −2.35208 | + | 16.3591i | −0.231758 | + | 1.61191i | 0.458737 | + | 0.888572i | \(0.348302\pi\) |
−0.690495 | + | 0.723337i | \(0.742607\pi\) | |||||||
\(104\) | 0.492033 | − | 3.42217i | 0.0482478 | − | 0.335571i | ||||
\(105\) | −0.0430463 | − | 0.0276642i | −0.00420089 | − | 0.00269975i | ||||
\(106\) | 7.18902 | + | 8.29657i | 0.698259 | + | 0.805834i | ||||
\(107\) | −7.06257 | − | 15.4649i | −0.682764 | − | 1.49504i | −0.859688 | − | 0.510820i | \(-0.829342\pi\) |
0.176924 | − | 0.984225i | \(-0.443385\pi\) | |||||||
\(108\) | −0.841254 | + | 0.540641i | −0.0809497 | + | 0.0520232i | ||||
\(109\) | −7.89986 | − | 2.31961i | −0.756670 | − | 0.222178i | −0.119429 | − | 0.992843i | \(-0.538106\pi\) |
−0.637241 | + | 0.770665i | \(0.719924\pi\) | |||||||
\(110\) | −0.0173078 | + | 0.0199743i | −0.00165024 | + | 0.00190448i | ||||
\(111\) | 6.47952 | − | 1.90256i | 0.615009 | − | 0.180583i | ||||
\(112\) | −0.415415 | + | 0.909632i | −0.0392530 | + | 0.0859521i | ||||
\(113\) | 0.425251 | + | 2.95769i | 0.0400043 | + | 0.278236i | 0.999998 | − | 0.00178421i | \(-0.000567933\pi\) |
−0.959994 | + | 0.280020i | \(0.909659\pi\) | |||||||
\(114\) | −1.33135 | −0.124692 | ||||||||
\(115\) | −0.220547 | − | 0.107610i | −0.0205661 | − | 0.0100346i | ||||
\(116\) | 6.75776 | 0.627442 | ||||||||
\(117\) | 0.492033 | + | 3.42217i | 0.0454885 | + | 0.316379i | ||||
\(118\) | 3.33949 | − | 7.31247i | 0.307425 | − | 0.673167i | ||||
\(119\) | −2.55778 | + | 0.751031i | −0.234471 | + | 0.0688469i | ||||
\(120\) | −0.0335087 | + | 0.0386712i | −0.00305892 | + | 0.00353018i | ||||
\(121\) | 10.2984 | + | 3.02389i | 0.936222 | + | 0.274900i | ||||
\(122\) | −10.7430 | + | 6.90409i | −0.972624 | + | 0.625067i | ||||
\(123\) | 0.586213 | + | 1.28363i | 0.0528571 | + | 0.115741i | ||||
\(124\) | 4.19564 | + | 4.84203i | 0.376780 | + | 0.434827i | ||||
\(125\) | 0.430351 | + | 0.276570i | 0.0384917 | + | 0.0247371i | ||||
\(126\) | 0.142315 | − | 0.989821i | 0.0126784 | − | 0.0881803i | ||||
\(127\) | 0.795837 | − | 5.53517i | 0.0706191 | − | 0.491167i | −0.923562 | − | 0.383448i | \(-0.874736\pi\) |
0.994181 | − | 0.107718i | \(-0.0343545\pi\) | |||||||
\(128\) | 0.841254 | + | 0.540641i | 0.0743570 | + | 0.0477863i | ||||
\(129\) | 8.06738 | + | 9.31025i | 0.710293 | + | 0.819722i | ||||
\(130\) | 0.0734912 | + | 0.160923i | 0.00644561 | + | 0.0141139i | ||||
\(131\) | 5.19979 | − | 3.34170i | 0.454308 | − | 0.291966i | −0.293405 | − | 0.955988i | \(-0.594788\pi\) |
0.747713 | + | 0.664022i | \(0.231152\pi\) | |||||||
\(132\) | −0.495594 | − | 0.145520i | −0.0431359 | − | 0.0126659i | ||||
\(133\) | 0.871846 | − | 1.00616i | 0.0755987 | − | 0.0872455i | ||||
\(134\) | −8.37873 | + | 2.46022i | −0.723812 | + | 0.212530i | ||||
\(135\) | 0.0212565 | − | 0.0465452i | 0.00182947 | − | 0.00400597i | ||||
\(136\) | 0.379377 | + | 2.63863i | 0.0325313 | + | 0.226260i | ||||
\(137\) | 9.86530 | 0.842849 | 0.421425 | − | 0.906863i | \(-0.361530\pi\) | ||||
0.421425 | + | 0.906863i | \(0.361530\pi\) | |||||||
\(138\) | 0.122469 | − | 4.79427i | 0.0104252 | − | 0.408115i | ||||
\(139\) | 4.71292 | 0.399745 | 0.199872 | − | 0.979822i | \(-0.435947\pi\) | ||||
0.199872 | + | 0.979822i | \(0.435947\pi\) | |||||||
\(140\) | −0.00728215 | − | 0.0506484i | −0.000615454 | − | 0.00428057i | ||||
\(141\) | 2.53313 | − | 5.54678i | 0.213328 | − | 0.467123i | ||||
\(142\) | −2.41212 | + | 0.708263i | −0.202421 | + | 0.0594361i | ||||
\(143\) | −1.16944 | + | 1.34960i | −0.0977934 | + | 0.112860i | ||||
\(144\) | −0.959493 | − | 0.281733i | −0.0799577 | − | 0.0234777i | ||||
\(145\) | −0.290897 | + | 0.186948i | −0.0241577 | + | 0.0155252i | ||||
\(146\) | 4.01399 | + | 8.78941i | 0.332200 | + | 0.727417i | ||||
\(147\) | 0.654861 | + | 0.755750i | 0.0540120 | + | 0.0623332i | ||||
\(148\) | 5.68104 | + | 3.65098i | 0.466979 | + | 0.300109i | ||||
\(149\) | −1.40947 | + | 9.80306i | −0.115468 | + | 0.803098i | 0.846978 | + | 0.531627i | \(0.178419\pi\) |
−0.962447 | + | 0.271471i | \(0.912490\pi\) | |||||||
\(150\) | −0.711202 | + | 4.94652i | −0.0580694 | + | 0.403881i | ||||
\(151\) | 3.47493 | + | 2.23320i | 0.282786 | + | 0.181735i | 0.674343 | − | 0.738419i | \(-0.264427\pi\) |
−0.391557 | + | 0.920154i | \(0.628063\pi\) | |||||||
\(152\) | −0.871846 | − | 1.00616i | −0.0707161 | − | 0.0816107i | ||||
\(153\) | −1.10740 | − | 2.42486i | −0.0895277 | − | 0.196038i | ||||
\(154\) | 0.434522 | − | 0.279250i | 0.0350148 | − | 0.0225026i | ||||
\(155\) | −0.314558 | − | 0.0923625i | −0.0252659 | − | 0.00741874i | ||||
\(156\) | −2.26409 | + | 2.61290i | −0.181272 | + | 0.209199i | ||||
\(157\) | 19.5006 | − | 5.72589i | 1.55632 | − | 0.456976i | 0.613336 | − | 0.789822i | \(-0.289827\pi\) |
0.942981 | + | 0.332846i | \(0.108009\pi\) | |||||||
\(158\) | −2.26028 | + | 4.94932i | −0.179818 | + | 0.393747i | ||||
\(159\) | −1.56232 | − | 10.8662i | −0.123900 | − | 0.861745i | ||||
\(160\) | −0.0511693 | −0.00404529 | ||||||||
\(161\) | 3.54307 | + | 3.23213i | 0.279233 | + | 0.254728i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −2.11080 | − | 14.6809i | −0.165331 | − | 1.14990i | −0.888382 | − | 0.459105i | \(-0.848170\pi\) |
0.723052 | − | 0.690794i | \(-0.242739\pi\) | |||||||
\(164\) | −0.586213 | + | 1.28363i | −0.0457756 | + | 0.100234i | ||||
\(165\) | 0.0253592 | − | 0.00744613i | 0.00197421 | − | 0.000579681i | ||||
\(166\) | 5.44262 | − | 6.28112i | 0.422429 | − | 0.487509i | ||||
\(167\) | 4.61409 | + | 1.35482i | 0.357049 | + | 0.104839i | 0.455338 | − | 0.890319i | \(-0.349519\pi\) |
−0.0982884 | + | 0.995158i | \(0.531337\pi\) | |||||||
\(168\) | 0.841254 | − | 0.540641i | 0.0649041 | − | 0.0417113i | ||||
\(169\) | −0.434811 | − | 0.952102i | −0.0334470 | − | 0.0732386i | ||||
\(170\) | −0.0893262 | − | 0.103088i | −0.00685101 | − | 0.00790649i | ||||
\(171\) | 1.12000 | + | 0.719780i | 0.0856485 | + | 0.0550430i | ||||
\(172\) | −1.75321 | + | 12.1938i | −0.133681 | + | 0.929771i | ||||
\(173\) | −3.28894 | + | 22.8751i | −0.250053 | + | 1.73916i | 0.347814 | + | 0.937564i | \(0.386924\pi\) |
−0.597867 | + | 0.801595i | \(0.703985\pi\) | |||||||
\(174\) | −5.68499 | − | 3.65352i | −0.430978 | − | 0.276973i | ||||
\(175\) | −3.27259 | − | 3.77677i | −0.247384 | − | 0.285497i | ||||
\(176\) | −0.214569 | − | 0.469840i | −0.0161737 | − | 0.0354155i | ||||
\(177\) | −6.76278 | + | 4.34617i | −0.508321 | + | 0.326678i | ||||
\(178\) | 14.6440 | + | 4.29988i | 1.09762 | + | 0.322289i | ||||
\(179\) | −16.5051 | + | 19.0479i | −1.23365 | + | 1.42371i | −0.363010 | + | 0.931785i | \(0.618251\pi\) |
−0.870639 | + | 0.491922i | \(0.836294\pi\) | |||||||
\(180\) | 0.0490966 | − | 0.0144160i | 0.00365944 | − | 0.00107451i | ||||
\(181\) | −7.68322 | + | 16.8239i | −0.571089 | + | 1.25051i | 0.375126 | + | 0.926974i | \(0.377599\pi\) |
−0.946215 | + | 0.323537i | \(0.895128\pi\) | |||||||
\(182\) | −0.492033 | − | 3.42217i | −0.0364719 | − | 0.253668i | ||||
\(183\) | 12.7702 | 0.944001 | ||||||||
\(184\) | 3.70347 | − | 3.04702i | 0.273023 | − | 0.224629i | ||||
\(185\) | −0.345549 | −0.0254053 | ||||||||
\(186\) | −0.911801 | − | 6.34171i | −0.0668565 | − | 0.464997i | ||||
\(187\) | 0.571989 | − | 1.25248i | 0.0418280 | − | 0.0915905i | ||||
\(188\) | 5.85082 | − | 1.71796i | 0.426715 | − | 0.125295i | ||||
\(189\) | −0.654861 | + | 0.755750i | −0.0476341 | + | 0.0549727i | ||||
\(190\) | 0.0653645 | + | 0.0191928i | 0.00474204 | + | 0.00139239i | ||||
\(191\) | 0.827414 | − | 0.531746i | 0.0598695 | − | 0.0384758i | −0.510364 | − | 0.859959i | \(-0.670489\pi\) |
0.570233 | + | 0.821483i | \(0.306853\pi\) | |||||||
\(192\) | −0.415415 | − | 0.909632i | −0.0299800 | − | 0.0656470i | ||||
\(193\) | −10.6146 | − | 12.2499i | −0.764056 | − | 0.881768i | 0.231795 | − | 0.972765i | \(-0.425540\pi\) |
−0.995851 | + | 0.0909967i | \(0.970995\pi\) | |||||||
\(194\) | −6.56960 | − | 4.22202i | −0.471670 | − | 0.303124i | ||||
\(195\) | 0.0251770 | − | 0.175110i | 0.00180296 | − | 0.0125399i | ||||
\(196\) | −0.142315 | + | 0.989821i | −0.0101653 | + | 0.0707015i | ||||
\(197\) | 12.5735 | + | 8.08047i | 0.895822 | + | 0.575710i | 0.905548 | − | 0.424243i | \(-0.139460\pi\) |
−0.00972657 | + | 0.999953i | \(0.503096\pi\) | |||||||
\(198\) | 0.338247 | + | 0.390357i | 0.0240381 | + | 0.0277415i | ||||
\(199\) | 0.770594 | + | 1.68737i | 0.0546260 | + | 0.119614i | 0.934977 | − | 0.354709i | \(-0.115420\pi\) |
−0.880351 | + | 0.474323i | \(0.842693\pi\) | |||||||
\(200\) | −4.20407 | + | 2.70179i | −0.297272 | + | 0.191045i | ||||
\(201\) | 8.37873 | + | 2.46022i | 0.590990 | + | 0.173530i | ||||
\(202\) | −0.332880 | + | 0.384164i | −0.0234214 | + | 0.0270297i | ||||
\(203\) | 6.48403 | − | 1.90388i | 0.455089 | − | 0.133626i | ||||
\(204\) | 1.10740 | − | 2.42486i | 0.0775332 | − | 0.169774i | ||||
\(205\) | −0.0102762 | − | 0.0714726i | −0.000717721 | − | 0.00499186i | ||||
\(206\) | 16.5273 | 1.15151 | ||||||||
\(207\) | −2.69500 | + | 3.96698i | −0.187316 | + | 0.275724i | ||||
\(208\) | −3.45736 | −0.239725 | ||||||||
\(209\) | 0.0978646 | + | 0.680663i | 0.00676944 | + | 0.0470825i | ||||
\(210\) | −0.0212565 | + | 0.0465452i | −0.00146684 | + | 0.00321192i | ||||
\(211\) | 11.1314 | − | 3.26846i | 0.766314 | − | 0.225010i | 0.124863 | − | 0.992174i | \(-0.460151\pi\) |
0.641451 | + | 0.767164i | \(0.278333\pi\) | |||||||
\(212\) | 7.18902 | − | 8.29657i | 0.493744 | − | 0.569811i | ||||
\(213\) | 2.41212 | + | 0.708263i | 0.165276 | + | 0.0485294i | ||||
\(214\) | −14.3023 | + | 9.19156i | −0.977688 | + | 0.628322i | ||||
\(215\) | −0.261863 | − | 0.573401i | −0.0178589 | − | 0.0391056i | ||||
\(216\) | 0.654861 | + | 0.755750i | 0.0445576 | + | 0.0514222i | ||||
\(217\) | 5.38985 | + | 3.46385i | 0.365887 | + | 0.235141i | ||||
\(218\) | −1.17173 | + | 8.14957i | −0.0793596 | + | 0.551958i | ||||
\(219\) | 1.37513 | − | 9.56425i | 0.0929228 | − | 0.646292i | ||||
\(220\) | 0.0222342 | + | 0.0142890i | 0.00149903 | + | 0.000963366i | ||||
\(221\) | −6.03551 | − | 6.96535i | −0.405992 | − | 0.468540i | ||||
\(222\) | −2.80532 | − | 6.14280i | −0.188281 | − | 0.412278i | ||||
\(223\) | 15.5026 | − | 9.96289i | 1.03813 | − | 0.667165i | 0.0936054 | − | 0.995609i | \(-0.470161\pi\) |
0.944523 | + | 0.328445i | \(0.106524\pi\) | |||||||
\(224\) | 0.959493 | + | 0.281733i | 0.0641088 | + | 0.0188240i | ||||
\(225\) | 3.27259 | − | 3.77677i | 0.218173 | − | 0.251785i | ||||
\(226\) | 2.86706 | − | 0.841846i | 0.190714 | − | 0.0559988i | ||||
\(227\) | 7.44786 | − | 16.3085i | 0.494332 | − | 1.08244i | −0.483938 | − | 0.875102i | \(-0.660794\pi\) |
0.978270 | − | 0.207334i | \(-0.0664786\pi\) | |||||||
\(228\) | 0.189470 | + | 1.31779i | 0.0125480 | + | 0.0872731i | ||||
\(229\) | 18.0131 | 1.19034 | 0.595170 | − | 0.803599i | \(-0.297085\pi\) | ||||
0.595170 | + | 0.803599i | \(0.297085\pi\) | |||||||
\(230\) | −0.0751272 | + | 0.233617i | −0.00495374 | + | 0.0154042i | ||||
\(231\) | −0.516517 | −0.0339843 | ||||||||
\(232\) | −0.961730 | − | 6.68898i | −0.0631407 | − | 0.439153i | ||||
\(233\) | 3.15376 | − | 6.90577i | 0.206610 | − | 0.452412i | −0.777752 | − | 0.628571i | \(-0.783640\pi\) |
0.984362 | + | 0.176159i | \(0.0563673\pi\) | |||||||
\(234\) | 3.31731 | − | 0.974050i | 0.216859 | − | 0.0636756i | ||||
\(235\) | −0.204331 | + | 0.235810i | −0.0133291 | + | 0.0153826i | ||||
\(236\) | −7.71330 | − | 2.26483i | −0.502093 | − | 0.147428i | ||||
\(237\) | 4.57727 | − | 2.94163i | 0.297326 | − | 0.191080i | ||||
\(238\) | 1.10740 | + | 2.42486i | 0.0717818 | + | 0.157180i | ||||
\(239\) | −5.67823 | − | 6.55303i | −0.367294 | − | 0.423880i | 0.541776 | − | 0.840523i | \(-0.317752\pi\) |
−0.909070 | + | 0.416643i | \(0.863207\pi\) | |||||||
\(240\) | 0.0430463 | + | 0.0276642i | 0.00277863 | + | 0.00178572i | ||||
\(241\) | −2.38640 | + | 16.5978i | −0.153722 | + | 1.06916i | 0.756189 | + | 0.654353i | \(0.227059\pi\) |
−0.909911 | + | 0.414804i | \(0.863850\pi\) | |||||||
\(242\) | 1.52750 | − | 10.6240i | 0.0981911 | − | 0.682934i | ||||
\(243\) | −0.841254 | − | 0.540641i | −0.0539664 | − | 0.0346821i | ||||
\(244\) | 8.36270 | + | 9.65108i | 0.535367 | + | 0.617847i | ||||
\(245\) | −0.0212565 | − | 0.0465452i | −0.00135803 | − | 0.00297366i | ||||
\(246\) | 1.18714 | − | 0.762926i | 0.0756890 | − | 0.0486424i | ||||
\(247\) | 4.41649 | + | 1.29680i | 0.281014 | + | 0.0825132i | ||||
\(248\) | 4.19564 | − | 4.84203i | 0.266424 | − | 0.307469i | ||||
\(249\) | −7.97445 | + | 2.34151i | −0.505360 | + | 0.148387i | ||||
\(250\) | 0.212509 | − | 0.465330i | 0.0134403 | − | 0.0294301i | ||||
\(251\) | 0.878102 | + | 6.10733i | 0.0554253 | + | 0.385491i | 0.998586 | + | 0.0531551i | \(0.0169278\pi\) |
−0.943161 | + | 0.332336i | \(0.892163\pi\) | |||||||
\(252\) | −1.00000 | −0.0629941 | ||||||||
\(253\) | −2.46012 | + | 0.289804i | −0.154666 | + | 0.0182198i | ||||
\(254\) | −5.59208 | −0.350879 | ||||||||
\(255\) | 0.0194124 | + | 0.135017i | 0.00121565 | + | 0.00845506i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | −10.6354 | + | 3.12282i | −0.663415 | + | 0.194796i | −0.596069 | − | 0.802933i | \(-0.703271\pi\) |
−0.0673465 | + | 0.997730i | \(0.521453\pi\) | |||||||
\(258\) | 8.06738 | − | 9.31025i | 0.502253 | − | 0.579631i | ||||
\(259\) | 6.47952 | + | 1.90256i | 0.402618 | + | 0.118219i | ||||
\(260\) | 0.148826 | − | 0.0956450i | 0.00922983 | − | 0.00593165i | ||||
\(261\) | 2.80728 | + | 6.14708i | 0.173766 | + | 0.380495i | ||||
\(262\) | −4.04769 | − | 4.67129i | −0.250067 | − | 0.288593i | ||||
\(263\) | −7.12044 | − | 4.57603i | −0.439065 | − | 0.282170i | 0.302375 | − | 0.953189i | \(-0.402220\pi\) |
−0.741440 | + | 0.671019i | \(0.765857\pi\) | |||||||
\(264\) | −0.0735080 | + | 0.511259i | −0.00452411 | + | 0.0314658i | ||||
\(265\) | −0.0799429 | + | 0.556015i | −0.00491085 | + | 0.0341557i | ||||
\(266\) | −1.12000 | − | 0.719780i | −0.0686716 | − | 0.0441325i | ||||
\(267\) | −9.99466 | − | 11.5345i | −0.611663 | − | 0.705897i | ||||
\(268\) | 3.62759 | + | 7.94332i | 0.221591 | + | 0.485216i | ||||
\(269\) | 24.2294 | − | 15.5713i | 1.47729 | − | 0.949398i | 0.479893 | − | 0.877327i | \(-0.340675\pi\) |
0.997399 | − | 0.0720712i | \(-0.0229609\pi\) | |||||||
\(270\) | −0.0490966 | − | 0.0144160i | −0.00298792 | − | 0.000877333i | ||||
\(271\) | −1.77221 | + | 2.04524i | −0.107654 | + | 0.124239i | −0.807019 | − | 0.590525i | \(-0.798921\pi\) |
0.699365 | + | 0.714764i | \(0.253466\pi\) | |||||||
\(272\) | 2.55778 | − | 0.751031i | 0.155088 | − | 0.0455379i | ||||
\(273\) | −1.43624 | + | 3.14492i | −0.0869251 | + | 0.190339i | ||||
\(274\) | −1.40398 | − | 9.76488i | −0.0848174 | − | 0.589918i | ||||
\(275\) | 2.58123 | 0.155654 | ||||||||
\(276\) | −4.76290 | + | 0.561073i | −0.286693 | + | 0.0337726i | ||||
\(277\) | −12.5862 | −0.756230 | −0.378115 | − | 0.925759i | \(-0.623428\pi\) | ||||
−0.378115 | + | 0.925759i | \(0.623428\pi\) | |||||||
\(278\) | −0.670718 | − | 4.66495i | −0.0402270 | − | 0.279785i | ||||
\(279\) | −2.66153 | + | 5.82794i | −0.159342 | + | 0.348910i | ||||
\(280\) | −0.0490966 | + | 0.0144160i | −0.00293408 | + | 0.000861524i | ||||
\(281\) | −15.2796 | + | 17.6336i | −0.911504 | + | 1.05193i | 0.0869430 | + | 0.996213i | \(0.472290\pi\) |
−0.998447 | + | 0.0557179i | \(0.982255\pi\) | |||||||
\(282\) | −5.85082 | − | 1.71796i | −0.348411 | − | 0.102303i | ||||
\(283\) | −1.14405 | + | 0.735237i | −0.0680068 | + | 0.0437053i | −0.574202 | − | 0.818713i | \(-0.694688\pi\) |
0.506196 | + | 0.862419i | \(0.331051\pi\) | |||||||
\(284\) | 1.04434 | + | 2.28678i | 0.0619699 | + | 0.135695i | ||||
\(285\) | −0.0446117 | − | 0.0514847i | −0.00264257 | − | 0.00304969i | ||||
\(286\) | 1.50230 | + | 0.965467i | 0.0888326 | + | 0.0570893i | ||||
\(287\) | −0.200828 | + | 1.39679i | −0.0118545 | + | 0.0824497i | ||||
\(288\) | −0.142315 | + | 0.989821i | −0.00838598 | + | 0.0583258i | ||||
\(289\) | −8.32314 | − | 5.34895i | −0.489596 | − | 0.314644i | ||||
\(290\) | 0.226444 | + | 0.261330i | 0.0132973 | + | 0.0153459i | ||||
\(291\) | 3.24410 | + | 7.10359i | 0.190172 | + | 0.416420i | ||||
\(292\) | 8.12870 | − | 5.22400i | 0.475696 | − | 0.305711i | ||||
\(293\) | 10.8095 | + | 3.17396i | 0.631498 | + | 0.185425i | 0.581790 | − | 0.813339i | \(-0.302353\pi\) |
0.0497084 | + | 0.998764i | \(0.484171\pi\) | |||||||
\(294\) | 0.654861 | − | 0.755750i | 0.0381923 | − | 0.0440762i | ||||
\(295\) | 0.394684 | − | 0.115890i | 0.0229794 | − | 0.00674735i | ||||
\(296\) | 2.80532 | − | 6.14280i | 0.163056 | − | 0.357043i | ||||
\(297\) | −0.0735080 | − | 0.511259i | −0.00426537 | − | 0.0296663i | ||||
\(298\) | 9.90387 | 0.573716 | ||||||||
\(299\) | −5.07612 | + | 15.7848i | −0.293560 | + | 0.912857i | ||||
\(300\) | 4.99738 | 0.288524 | ||||||||
\(301\) | 1.75321 | + | 12.1938i | 0.101053 | + | 0.702841i | ||||
\(302\) | 1.71594 | − | 3.75738i | 0.0987410 | − | 0.216213i | ||||
\(303\) | 0.487732 | − | 0.143211i | 0.0280195 | − | 0.00822726i | ||||
\(304\) | −0.871846 | + | 1.00616i | −0.0500038 | + | 0.0577075i | ||||
\(305\) | −0.626973 | − | 0.184096i | −0.0359004 | − | 0.0105413i | ||||
\(306\) | −2.24258 | + | 1.44122i | −0.128200 | + | 0.0823889i | ||||
\(307\) | −10.8478 | − | 23.7533i | −0.619116 | − | 1.35567i | −0.916161 | − | 0.400811i | \(-0.868728\pi\) |
0.297045 | − | 0.954864i | \(-0.403999\pi\) | |||||||
\(308\) | −0.338247 | − | 0.390357i | −0.0192734 | − | 0.0222427i | ||||
\(309\) | −13.9037 | − | 8.93534i | −0.790952 | − | 0.508314i | ||||
\(310\) | −0.0466562 | + | 0.324501i | −0.00264989 | + | 0.0184304i | ||||
\(311\) | 3.27662 | − | 22.7894i | 0.185800 | − | 1.29227i | −0.656938 | − | 0.753944i | \(-0.728149\pi\) |
0.842738 | − | 0.538323i | \(-0.180942\pi\) | |||||||
\(312\) | 2.90851 | + | 1.86919i | 0.164662 | + | 0.105822i | ||||
\(313\) | 1.27546 | + | 1.47196i | 0.0720931 | + | 0.0831999i | 0.790650 | − | 0.612268i | \(-0.209743\pi\) |
−0.718557 | + | 0.695468i | \(0.755197\pi\) | |||||||
\(314\) | −8.44284 | − | 18.4872i | −0.476457 | − | 1.04330i | ||||
\(315\) | 0.0430463 | − | 0.0276642i | 0.00242539 | − | 0.00155870i | ||||
\(316\) | 5.22061 | + | 1.53291i | 0.293682 | + | 0.0862329i | ||||
\(317\) | 7.40348 | − | 8.54407i | 0.415821 | − | 0.479883i | −0.508738 | − | 0.860921i | \(-0.669888\pi\) |
0.924559 | + | 0.381038i | \(0.124433\pi\) | |||||||
\(318\) | −10.5332 | + | 3.09284i | −0.590675 | + | 0.173438i | ||||
\(319\) | −1.45001 | + | 3.17507i | −0.0811847 | + | 0.177770i | ||||
\(320\) | 0.00728215 | + | 0.0506484i | 0.000407084 | + | 0.00283133i | ||||
\(321\) | 17.0012 | 0.948916 | ||||||||
\(322\) | 2.69500 | − | 3.96698i | 0.150187 | − | 0.221071i | ||||
\(323\) | −3.54905 | −0.197474 | ||||||||
\(324\) | −0.142315 | − | 0.989821i | −0.00790638 | − | 0.0549901i | ||||
\(325\) | 7.17743 | − | 15.7164i | 0.398132 | − | 0.871788i | ||||
\(326\) | −14.2311 | + | 4.17863i | −0.788188 | + | 0.231433i | ||||
\(327\) | 5.39171 | − | 6.22237i | 0.298162 | − | 0.344098i | ||||
\(328\) | 1.35399 | + | 0.397567i | 0.0747615 | + | 0.0219520i | ||||
\(329\) | 5.12982 | − | 3.29674i | 0.282816 | − | 0.181755i | ||||
\(330\) | −0.0109793 | − | 0.0240414i | −0.000604392 | − | 0.00132343i | ||||
\(331\) | 21.6893 | + | 25.0308i | 1.19215 | + | 1.37582i | 0.909029 | + | 0.416733i | \(0.136825\pi\) |
0.283123 | + | 0.959084i | \(0.408630\pi\) | |||||||
\(332\) | −6.99175 | − | 4.49333i | −0.383722 | − | 0.246603i | ||||
\(333\) | −0.961061 | + | 6.68433i | −0.0526658 | + | 0.366299i | ||||
\(334\) | 0.684376 | − | 4.75994i | 0.0374474 | − | 0.260452i | ||||
\(335\) | −0.375900 | − | 0.241576i | −0.0205376 | − | 0.0131987i | ||||
\(336\) | −0.654861 | − | 0.755750i | −0.0357256 | − | 0.0412295i | ||||
\(337\) | −4.21834 | − | 9.23687i | −0.229788 | − | 0.503165i | 0.759255 | − | 0.650793i | \(-0.225563\pi\) |
−0.989043 | + | 0.147628i | \(0.952836\pi\) | |||||||
\(338\) | −0.880531 | + | 0.565883i | −0.0478946 | + | 0.0307800i | ||||
\(339\) | −2.86706 | − | 0.841846i | −0.155718 | − | 0.0457228i | ||||
\(340\) | −0.0893262 | + | 0.103088i | −0.00484439 | + | 0.00559073i | ||||
\(341\) | −3.17524 | + | 0.932333i | −0.171949 | + | 0.0504887i | ||||
\(342\) | 0.553061 | − | 1.21104i | 0.0299061 | − | 0.0654853i | ||||
\(343\) | 0.142315 | + | 0.989821i | 0.00768428 | + | 0.0534453i | ||||
\(344\) | 12.3192 | 0.664208 | ||||||||
\(345\) | 0.189504 | − | 0.155914i | 0.0102025 | − | 0.00839412i | ||||
\(346\) | 23.1103 | 1.24242 | ||||||||
\(347\) | −1.16416 | − | 8.09692i | −0.0624955 | − | 0.434666i | −0.996915 | − | 0.0784908i | \(-0.974990\pi\) |
0.934419 | − | 0.356175i | \(-0.115919\pi\) | |||||||
\(348\) | −2.80728 | + | 6.14708i | −0.150486 | + | 0.329518i | ||||
\(349\) | −12.4233 | + | 3.64780i | −0.665003 | + | 0.195263i | −0.596777 | − | 0.802407i | \(-0.703552\pi\) |
−0.0682264 | + | 0.997670i | \(0.521734\pi\) | |||||||
\(350\) | −3.27259 | + | 3.77677i | −0.174927 | + | 0.201877i | ||||
\(351\) | −3.31731 | − | 0.974050i | −0.177065 | − | 0.0519909i | ||||
\(352\) | −0.434522 | + | 0.279250i | −0.0231601 | + | 0.0148841i | ||||
\(353\) | 5.07463 | + | 11.1119i | 0.270095 | + | 0.591426i | 0.995271 | − | 0.0971376i | \(-0.0309687\pi\) |
−0.725176 | + | 0.688564i | \(0.758241\pi\) | |||||||
\(354\) | 5.26438 | + | 6.07542i | 0.279799 | + | 0.322905i | ||||
\(355\) | −0.108217 | − | 0.0695466i | −0.00574354 | − | 0.00369115i | ||||
\(356\) | 2.17205 | − | 15.1069i | 0.115118 | − | 0.800665i | ||||
\(357\) | 0.379377 | − | 2.63863i | 0.0200788 | − | 0.139651i | ||||
\(358\) | 21.2029 | + | 13.6263i | 1.12061 | + | 0.720173i | ||||
\(359\) | 15.8609 | + | 18.3044i | 0.837105 | + | 0.966071i | 0.999788 | − | 0.0206075i | \(-0.00656002\pi\) |
−0.162682 | + | 0.986678i | \(0.552015\pi\) | |||||||
\(360\) | −0.0212565 | − | 0.0465452i | −0.00112032 | − | 0.00245315i | ||||
\(361\) | −14.4927 | + | 9.31390i | −0.762774 | + | 0.490205i | ||||
\(362\) | 17.7461 | + | 5.21073i | 0.932714 | + | 0.273870i | ||||
\(363\) | −7.02876 | + | 8.11162i | −0.368914 | + | 0.425750i | ||||
\(364\) | −3.31731 | + | 0.974050i | −0.173874 | + | 0.0510541i | ||||
\(365\) | −0.205393 | + | 0.449748i | −0.0107508 | + | 0.0235409i | ||||
\(366\) | −1.81739 | − | 12.6402i | −0.0949965 | − | 0.660715i | ||||
\(367\) | −15.9061 | −0.830289 | −0.415145 | − | 0.909755i | \(-0.636269\pi\) | ||||
−0.415145 | + | 0.909755i | \(0.636269\pi\) | |||||||
\(368\) | −3.54307 | − | 3.23213i | −0.184695 | − | 0.168487i | ||||
\(369\) | −1.41115 | −0.0734616 | ||||||||
\(370\) | 0.0491768 | + | 0.342032i | 0.00255658 | + | 0.0177814i | ||||
\(371\) | 4.56040 | − | 9.98588i | 0.236764 | − | 0.518441i | ||||
\(372\) | −6.14740 | + | 1.80504i | −0.318728 | + | 0.0935869i | ||||
\(373\) | −21.5859 | + | 24.9115i | −1.11768 | + | 1.28987i | −0.164861 | + | 0.986317i | \(0.552718\pi\) |
−0.952815 | + | 0.303550i | \(0.901828\pi\) | |||||||
\(374\) | −1.32113 | − | 0.387920i | −0.0683143 | − | 0.0200589i | ||||
\(375\) | −0.430351 | + | 0.276570i | −0.0222232 | + | 0.0142820i | ||||
\(376\) | −2.53313 | − | 5.54678i | −0.130636 | − | 0.286053i | ||||
\(377\) | 15.3002 | + | 17.6573i | 0.787998 | + | 0.909399i | ||||
\(378\) | 0.841254 | + | 0.540641i | 0.0432694 | + | 0.0278076i | ||||
\(379\) | −1.50385 | + | 10.4595i | −0.0772476 | + | 0.537269i | 0.914047 | + | 0.405608i | \(0.132940\pi\) |
−0.991295 | + | 0.131661i | \(0.957969\pi\) | |||||||
\(380\) | 0.00969506 | − | 0.0674306i | 0.000497346 | − | 0.00345912i | ||||
\(381\) | 4.70436 | + | 3.02331i | 0.241012 | + | 0.154889i | ||||
\(382\) | −0.644087 | − | 0.743316i | −0.0329544 | − | 0.0380314i | ||||
\(383\) | 6.39261 | + | 13.9979i | 0.326647 | + | 0.715257i | 0.999704 | − | 0.0243337i | \(-0.00774641\pi\) |
−0.673057 | + | 0.739591i | \(0.735019\pi\) | |||||||
\(384\) | −0.841254 | + | 0.540641i | −0.0429300 | + | 0.0275895i | ||||
\(385\) | 0.0253592 | + | 0.00744613i | 0.00129242 | + | 0.000379490i | ||||
\(386\) | −10.6146 | + | 12.2499i | −0.540269 | + | 0.623504i | ||||
\(387\) | −11.8202 | + | 3.47073i | −0.600855 | + | 0.176427i | ||||
\(388\) | −3.24410 | + | 7.10359i | −0.164694 | + | 0.360630i | ||||
\(389\) | −5.04809 | − | 35.1103i | −0.255949 | − | 1.78016i | −0.560990 | − | 0.827822i | \(-0.689580\pi\) |
0.305042 | − | 0.952339i | \(-0.401330\pi\) | |||||||
\(390\) | −0.176910 | −0.00895821 | ||||||||
\(391\) | 0.326472 | − | 12.7804i | 0.0165104 | − | 0.646331i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | 0.879648 | + | 6.11809i | 0.0443724 | + | 0.308617i | ||||
\(394\) | 6.20883 | − | 13.5954i | 0.312797 | − | 0.684929i | ||||
\(395\) | −0.267135 | + | 0.0784379i | −0.0134410 | + | 0.00394664i | ||||
\(396\) | 0.338247 | − | 0.390357i | 0.0169975 | − | 0.0196162i | ||||
\(397\) | −36.2994 | − | 10.6585i | −1.82181 | − | 0.534933i | −0.822391 | − | 0.568922i | \(-0.807361\pi\) |
−0.999422 | + | 0.0339892i | \(0.989179\pi\) | |||||||
\(398\) | 1.56052 | − | 1.00289i | 0.0782220 | − | 0.0502702i | ||||
\(399\) | 0.553061 | + | 1.21104i | 0.0276877 | + | 0.0606276i | ||||
\(400\) | 3.27259 | + | 3.77677i | 0.163629 | + | 0.188838i | ||||
\(401\) | 1.31346 | + | 0.844110i | 0.0655911 | + | 0.0421528i | 0.573025 | − | 0.819538i | \(-0.305770\pi\) |
−0.507434 | + | 0.861690i | \(0.669406\pi\) | |||||||
\(402\) | 1.24276 | − | 8.64357i | 0.0619831 | − | 0.431102i | ||||
\(403\) | −3.15242 | + | 21.9256i | −0.157033 | + | 1.09219i | ||||
\(404\) | 0.427628 | + | 0.274820i | 0.0212753 | + | 0.0136728i | ||||
\(405\) | 0.0335087 | + | 0.0386712i | 0.00166506 | + | 0.00192159i | ||||
\(406\) | −2.80728 | − | 6.14708i | −0.139323 | − | 0.305074i | ||||
\(407\) | −2.93435 | + | 1.88579i | −0.145450 | + | 0.0934754i | ||||
\(408\) | −2.55778 | − | 0.751031i | −0.126629 | − | 0.0371816i | ||||
\(409\) | −21.6969 | + | 25.0395i | −1.07284 | + | 1.23812i | −0.102924 | + | 0.994689i | \(0.532820\pi\) |
−0.969917 | + | 0.243436i | \(0.921725\pi\) | |||||||
\(410\) | −0.0692826 | + | 0.0203432i | −0.00342163 | + | 0.00100468i | ||||
\(411\) | −4.09819 | + | 8.97379i | −0.202149 | + | 0.442644i | ||||
\(412\) | −2.35208 | − | 16.3591i | −0.115879 | − | 0.805955i | ||||
\(413\) | −8.03893 | −0.395570 | ||||||||
\(414\) | 4.31014 | + | 2.10301i | 0.211832 | + | 0.103357i | ||||
\(415\) | 0.425273 | 0.0208759 | ||||||||
\(416\) | 0.492033 | + | 3.42217i | 0.0241239 | + | 0.167785i | ||||
\(417\) | −1.95782 | + | 4.28702i | −0.0958747 | + | 0.209936i | ||||
\(418\) | 0.659808 | − | 0.193737i | 0.0322722 | − | 0.00947599i | ||||
\(419\) | −0.961013 | + | 1.10907i | −0.0469486 | + | 0.0541815i | −0.778738 | − | 0.627349i | \(-0.784140\pi\) |
0.731790 | + | 0.681531i | \(0.238685\pi\) | |||||||
\(420\) | 0.0490966 | + | 0.0144160i | 0.00239567 | + | 0.000703431i | ||||
\(421\) | 7.55928 | − | 4.85806i | 0.368417 | − | 0.236767i | −0.343312 | − | 0.939221i | \(-0.611549\pi\) |
0.711729 | + | 0.702454i | \(0.247912\pi\) | |||||||
\(422\) | −4.81935 | − | 10.5529i | −0.234602 | − | 0.513707i | ||||
\(423\) | 3.99323 | + | 4.60843i | 0.194157 | + | 0.224070i | ||||
\(424\) | −9.23522 | − | 5.93512i | −0.448502 | − | 0.288235i | ||||
\(425\) | −1.89589 | + | 13.1862i | −0.0919643 | + | 0.639625i | ||||
\(426\) | 0.357773 | − | 2.48837i | 0.0173342 | − | 0.120562i | ||||
\(427\) | 10.7430 | + | 6.90409i | 0.519889 | + | 0.334112i | ||||
\(428\) | 11.1334 | + | 12.8487i | 0.538155 | + | 0.621064i | ||||
\(429\) | −0.741841 | − | 1.62441i | −0.0358164 | − | 0.0784270i | ||||
\(430\) | −0.530297 | + | 0.340801i | −0.0255732 | + | 0.0164349i | ||||
\(431\) | −15.2167 | − | 4.46803i | −0.732963 | − | 0.215217i | −0.106110 | − | 0.994354i | \(-0.533839\pi\) |
−0.626854 | + | 0.779137i | \(0.715658\pi\) | |||||||
\(432\) | 0.654861 | − | 0.755750i | 0.0315070 | − | 0.0363610i | ||||
\(433\) | 9.35458 | − | 2.74675i | 0.449552 | − | 0.132000i | −0.0491166 | − | 0.998793i | \(-0.515641\pi\) |
0.498669 | + | 0.866793i | \(0.333822\pi\) | |||||||
\(434\) | 2.66153 | − | 5.82794i | 0.127758 | − | 0.279750i | ||||
\(435\) | −0.0492110 | − | 0.342270i | −0.00235949 | − | 0.0164106i | ||||
\(436\) | 8.23337 | 0.394307 | ||||||||
\(437\) | 3.31365 | + | 5.45773i | 0.158514 | + | 0.261079i | ||||
\(438\) | −9.66260 | −0.461697 | ||||||||
\(439\) | 0.00141301 | + | 0.00982772i | 6.74394e−5 | + | 0.000469051i | 0.989855 | − | 0.142080i | \(-0.0453791\pi\) |
−0.989788 | + | 0.142549i | \(0.954470\pi\) | |||||||
\(440\) | 0.0109793 | − | 0.0240414i | 0.000523419 | − | 0.00114613i | ||||
\(441\) | −0.959493 | + | 0.281733i | −0.0456901 | + | 0.0134158i | ||||
\(442\) | −6.03551 | + | 6.96535i | −0.287080 | + | 0.331308i | ||||
\(443\) | −38.8421 | − | 11.4051i | −1.84544 | − | 0.541871i | −0.999969 | − | 0.00785530i | \(-0.997500\pi\) |
−0.845474 | − | 0.534016i | \(-0.820682\pi\) | |||||||
\(444\) | −5.68104 | + | 3.65098i | −0.269610 | + | 0.173268i | ||||
\(445\) | 0.324422 | + | 0.710385i | 0.0153791 | + | 0.0336755i | ||||
\(446\) | −12.0677 | − | 13.9269i | −0.571424 | − | 0.659458i | ||||
\(447\) | −8.33167 | − | 5.35444i | −0.394074 | − | 0.253256i | ||||
\(448\) | 0.142315 | − | 0.989821i | 0.00672374 | − | 0.0467647i | ||||
\(449\) | 0.614570 | − | 4.27443i | 0.0290033 | − | 0.201723i | −0.970168 | − | 0.242435i | \(-0.922054\pi\) |
0.999171 | + | 0.0407127i | \(0.0129629\pi\) | |||||||
\(450\) | −4.20407 | − | 2.70179i | −0.198182 | − | 0.127364i | ||||
\(451\) | −0.477317 | − | 0.550853i | −0.0224760 | − | 0.0259387i | ||||
\(452\) | −1.24130 | − | 2.71807i | −0.0583860 | − | 0.127847i | ||||
\(453\) | −3.47493 | + | 2.23320i | −0.163266 | + | 0.104925i | ||||
\(454\) | −17.2025 | − | 5.05111i | −0.807353 | − | 0.237060i | ||||
\(455\) | 0.115852 | − | 0.133700i | 0.00543121 | − | 0.00626795i | ||||
\(456\) | 1.27742 | − | 0.375084i | 0.0598205 | − | 0.0175649i | ||||
\(457\) | −4.64016 | + | 10.1605i | −0.217057 | + | 0.475290i | −0.986569 | − | 0.163343i | \(-0.947772\pi\) |
0.769512 | + | 0.638632i | \(0.220500\pi\) | |||||||
\(458\) | −2.56354 | − | 17.8298i | −0.119786 | − | 0.833131i | ||||
\(459\) | 2.66576 | 0.124427 | ||||||||
\(460\) | 0.241930 | + | 0.0411154i | 0.0112801 | + | 0.00191702i | ||||
\(461\) | 42.0243 | 1.95727 | 0.978633 | − | 0.205613i | \(-0.0659187\pi\) | ||||
0.978633 | + | 0.205613i | \(0.0659187\pi\) | |||||||
\(462\) | 0.0735080 | + | 0.511259i | 0.00341990 | + | 0.0237859i | ||||
\(463\) | 6.54377 | − | 14.3289i | 0.304115 | − | 0.665919i | −0.694446 | − | 0.719545i | \(-0.744351\pi\) |
0.998561 | + | 0.0536260i | \(0.0170779\pi\) | |||||||
\(464\) | −6.48403 | + | 1.90388i | −0.301013 | + | 0.0883855i | ||||
\(465\) | 0.214688 | − | 0.247763i | 0.00995592 | − | 0.0114897i | ||||
\(466\) | −7.28431 | − | 2.13887i | −0.337439 | − | 0.0990810i | ||||
\(467\) | −12.2111 | + | 7.84762i | −0.565064 | + | 0.363145i | −0.791771 | − | 0.610818i | \(-0.790841\pi\) |
0.226707 | + | 0.973963i | \(0.427204\pi\) | |||||||
\(468\) | −1.43624 | − | 3.14492i | −0.0663901 | − | 0.145374i | ||||
\(469\) | 5.71854 | + | 6.59955i | 0.264058 | + | 0.304739i | ||||
\(470\) | 0.262489 | + | 0.168692i | 0.0121077 | + | 0.00778116i | ||||
\(471\) | −2.89239 | + | 20.1170i | −0.133274 | + | 0.926942i | ||||
\(472\) | −1.14406 | + | 7.95710i | −0.0526596 | + | 0.366255i | ||||
\(473\) | −5.35297 | − | 3.44014i | −0.246130 | − | 0.158178i | ||||
\(474\) | −3.56311 | − | 4.11204i | −0.163659 | − | 0.188872i | ||||
\(475\) | −2.76386 | − | 6.05200i | −0.126814 | − | 0.277685i | ||||
\(476\) | 2.24258 | − | 1.44122i | 0.102788 | − | 0.0660581i | ||||
\(477\) | 10.5332 | + | 3.09284i | 0.482284 | + | 0.141611i | ||||
\(478\) | −5.67823 | + | 6.55303i | −0.259716 | + | 0.299729i | ||||
\(479\) | −19.1859 | + | 5.63350i | −0.876627 | + | 0.257401i | −0.688932 | − | 0.724826i | \(-0.741920\pi\) |
−0.187696 | + | 0.982227i | \(0.560102\pi\) | |||||||
\(480\) | 0.0212565 | − | 0.0465452i | 0.000970221 | − | 0.00212449i | ||||
\(481\) | 3.32273 | + | 23.1101i | 0.151504 | + | 1.05373i | ||||
\(482\) | 16.7685 | 0.763783 | ||||||||
\(483\) | −4.41189 | + | 1.88021i | −0.200748 | + | 0.0855525i | ||||
\(484\) | −10.7332 | −0.487873 | ||||||||
\(485\) | −0.0568684 | − | 0.395529i | −0.00258226 | − | 0.0179600i | ||||
\(486\) | −0.415415 | + | 0.909632i | −0.0188436 | + | 0.0412617i | ||||
\(487\) | −37.4391 | + | 10.9931i | −1.69653 | + | 0.498145i | −0.979930 | − | 0.199343i | \(-0.936119\pi\) |
−0.716596 | + | 0.697488i | \(0.754301\pi\) | |||||||
\(488\) | 8.36270 | − | 9.65108i | 0.378562 | − | 0.436884i | ||||
\(489\) | 14.2311 | + | 4.17863i | 0.643553 | + | 0.188964i | ||||
\(490\) | −0.0430463 | + | 0.0276642i | −0.00194463 | + | 0.00124974i | ||||
\(491\) | −17.0499 | − | 37.3340i | −0.769450 | − | 1.68486i | −0.727860 | − | 0.685726i | \(-0.759485\pi\) |
−0.0415897 | − | 0.999135i | \(-0.513242\pi\) | |||||||
\(492\) | −0.924107 | − | 1.06648i | −0.0416620 | − | 0.0480805i | ||||
\(493\) | −15.1548 | − | 9.73941i | −0.682539 | − | 0.438641i | ||||
\(494\) | 0.655066 | − | 4.55609i | 0.0294728 | − | 0.204988i | ||||
\(495\) | −0.00376135 | + | 0.0261608i | −0.000169060 | + | 0.00117584i | ||||
\(496\) | −5.38985 | − | 3.46385i | −0.242011 | − | 0.155531i | ||||
\(497\) | 1.64629 | + | 1.89992i | 0.0738463 | + | 0.0852231i | ||||
\(498\) | 3.45256 | + | 7.56005i | 0.154713 | + | 0.338774i | ||||
\(499\) | 13.5728 | − | 8.72269i | 0.607600 | − | 0.390481i | −0.200356 | − | 0.979723i | \(-0.564210\pi\) |
0.807957 | + | 0.589242i | \(0.200574\pi\) | |||||||
\(500\) | −0.490837 | − | 0.144123i | −0.0219509 | − | 0.00644537i | ||||
\(501\) | −3.14915 | + | 3.63431i | −0.140694 | + | 0.162369i | ||||
\(502\) | 5.92020 | − | 1.73833i | 0.264231 | − | 0.0775854i | ||||
\(503\) | −14.9341 | + | 32.7011i | −0.665879 | + | 1.45807i | 0.211062 | + | 0.977473i | \(0.432308\pi\) |
−0.876941 | + | 0.480599i | \(0.840419\pi\) | |||||||
\(504\) | 0.142315 | + | 0.989821i | 0.00633921 | + | 0.0440902i | ||||
\(505\) | −0.0260105 | −0.00115745 | ||||||||
\(506\) | 0.636965 | + | 2.39383i | 0.0283166 | + | 0.106419i | ||||
\(507\) | 1.04669 | 0.0464851 | ||||||||
\(508\) | 0.795837 | + | 5.53517i | 0.0353095 | + | 0.245583i | ||||
\(509\) | −13.2609 | + | 29.0372i | −0.587777 | + | 1.28705i | 0.348999 | + | 0.937123i | \(0.386522\pi\) |
−0.936776 | + | 0.349929i | \(0.886206\pi\) | |||||||
\(510\) | 0.130880 | − | 0.0384297i | 0.00579544 | − | 0.00170170i | ||||
\(511\) | 6.32766 | − | 7.30251i | 0.279919 | − | 0.323044i | ||||
\(512\) | −0.959493 | − | 0.281733i | −0.0424040 | − | 0.0124509i | ||||
\(513\) | −1.12000 | + | 0.719780i | −0.0494492 | + | 0.0317791i | ||||
\(514\) | 4.60461 | + | 10.0827i | 0.203100 | + | 0.444728i | ||||
\(515\) | 0.553810 | + | 0.639130i | 0.0244038 | + | 0.0281635i | ||||
\(516\) | −10.3636 | − | 6.66028i | −0.456232 | − | 0.293202i | ||||
\(517\) | −0.448239 | + | 3.11757i | −0.0197135 | + | 0.137111i | ||||
\(518\) | 0.961061 | − | 6.68433i | 0.0422266 | − | 0.293693i | ||||
\(519\) | −19.4416 | − | 12.4944i | −0.853392 | − | 0.548442i | ||||
\(520\) | −0.115852 | − | 0.133700i | −0.00508043 | − | 0.00586313i | ||||
\(521\) | −2.02006 | − | 4.42331i | −0.0885004 | − | 0.193789i | 0.860206 | − | 0.509946i | \(-0.170335\pi\) |
−0.948707 | + | 0.316157i | \(0.897607\pi\) | |||||||
\(522\) | 5.68499 | − | 3.65352i | 0.248825 | − | 0.159910i | ||||
\(523\) | 3.57415 | + | 1.04946i | 0.156287 | + | 0.0458899i | 0.358940 | − | 0.933361i | \(-0.383138\pi\) |
−0.202653 | + | 0.979251i | \(0.564956\pi\) | |||||||
\(524\) | −4.04769 | + | 4.67129i | −0.176824 | + | 0.204066i | ||||
\(525\) | 4.79495 | − | 1.40793i | 0.209269 | − | 0.0614469i | ||||
\(526\) | −3.51610 | + | 7.69920i | −0.153309 | + | 0.335701i | ||||
\(527\) | −2.43064 | − | 16.9055i | −0.105880 | − | 0.736414i | ||||
\(528\) | 0.516517 | 0.0224785 | ||||||||
\(529\) | −19.9585 | + | 11.4306i | −0.867759 | + | 0.496984i | ||||
\(530\) | 0.561733 | 0.0244001 | ||||||||
\(531\) | −1.14406 | − | 7.95710i | −0.0496479 | − | 0.345309i | ||||
\(532\) | −0.553061 | + | 1.21104i | −0.0239782 | + | 0.0525050i | ||||
\(533\) | −4.68122 | + | 1.37453i | −0.202766 | + | 0.0595375i | ||||
\(534\) | −9.99466 | + | 11.5345i | −0.432511 | + | 0.499145i | ||||
\(535\) | −0.834702 | − | 0.245091i | −0.0360873 | − | 0.0105962i | ||||
\(536\) | 7.34621 | − | 4.72112i | 0.317308 | − | 0.203921i | ||||
\(537\) | −10.4701 | − | 22.9264i | −0.451819 | − | 0.989345i | ||||
\(538\) | −18.8610 | − | 21.7668i | −0.813155 | − | 0.938431i | ||||
\(539\) | −0.434522 | − | 0.279250i | −0.0187162 | − | 0.0120282i | ||||
\(540\) | −0.00728215 | + | 0.0506484i | −0.000313374 | + | 0.00217956i | ||||
\(541\) | −2.73733 | + | 19.0386i | −0.117687 | + | 0.818531i | 0.842405 | + | 0.538846i | \(0.181139\pi\) |
−0.960092 | + | 0.279686i | \(0.909770\pi\) | |||||||
\(542\) | 2.27663 | + | 1.46310i | 0.0977897 | + | 0.0628456i | ||||
\(543\) | −12.1118 | − | 13.9778i | −0.519769 | − | 0.599845i | ||||
\(544\) | −1.10740 | − | 2.42486i | −0.0474792 | − | 0.103965i | ||||
\(545\) | −0.354416 | + | 0.227770i | −0.0151815 | + | 0.00975658i | ||||
\(546\) | 3.31731 | + | 0.974050i | 0.141968 | + | 0.0416855i | ||||
\(547\) | 6.54917 | − | 7.55814i | 0.280022 | − | 0.323163i | −0.598263 | − | 0.801300i | \(-0.704142\pi\) |
0.878285 | + | 0.478137i | \(0.158688\pi\) | |||||||
\(548\) | −9.46568 | + | 2.77938i | −0.404354 | + | 0.118729i | ||||
\(549\) | −5.30493 | + | 11.6162i | −0.226409 | + | 0.495767i | ||||
\(550\) | −0.367348 | − | 2.55496i | −0.0156638 | − | 0.108944i | ||||
\(551\) | 8.99692 | 0.383282 | ||||||||
\(552\) | 1.23319 | + | 4.63457i | 0.0524882 | + | 0.197260i | ||||
\(553\) | 5.44101 | 0.231375 | ||||||||
\(554\) | 1.79120 | + | 12.4581i | 0.0761008 | + | 0.529293i | ||||
\(555\) | 0.143546 | − | 0.314323i | 0.00609321 | − | 0.0133423i | ||||
\(556\) | −4.52201 | + | 1.32778i | −0.191776 | + | 0.0563105i | ||||
\(557\) | −3.56451 | + | 4.11366i | −0.151033 | + | 0.174301i | −0.826224 | − | 0.563341i | \(-0.809516\pi\) |
0.675191 | + | 0.737643i | \(0.264061\pi\) | |||||||
\(558\) | 6.14740 | + | 1.80504i | 0.260240 | + | 0.0764134i | ||||
\(559\) | −35.8306 | + | 23.0269i | −1.51547 | + | 0.973936i | ||||
\(560\) | 0.0212565 | + | 0.0465452i | 0.000898250 | + | 0.00196689i | ||||
\(561\) | 0.901684 | + | 1.04060i | 0.0380691 | + | 0.0439341i | ||||
\(562\) | 19.6286 | + | 12.6145i | 0.827983 | + | 0.532112i | ||||
\(563\) | 3.89518 | − | 27.0915i | 0.164162 | − | 1.14177i | −0.726520 | − | 0.687145i | \(-0.758863\pi\) |
0.890682 | − | 0.454627i | \(-0.150227\pi\) | |||||||
\(564\) | −0.867812 | + | 6.03576i | −0.0365415 | + | 0.254151i | ||||
\(565\) | 0.128627 | + | 0.0826635i | 0.00541137 | + | 0.00347768i | ||||
\(566\) | 0.890569 | + | 1.02777i | 0.0374334 | + | 0.0432004i | ||||
\(567\) | −0.415415 | − | 0.909632i | −0.0174458 | − | 0.0382010i | ||||
\(568\) | 2.11487 | − | 1.35915i | 0.0887382 | − | 0.0570286i | ||||
\(569\) | 33.0601 | + | 9.70733i | 1.38595 | + | 0.406953i | 0.887837 | − | 0.460158i | \(-0.152207\pi\) |
0.498116 | + | 0.867110i | \(0.334025\pi\) | |||||||
\(570\) | −0.0446117 | + | 0.0514847i | −0.00186858 | + | 0.00215646i | ||||
\(571\) | 24.0219 | − | 7.05346i | 1.00528 | − | 0.295178i | 0.262662 | − | 0.964888i | \(-0.415400\pi\) |
0.742623 | + | 0.669710i | \(0.233582\pi\) | |||||||
\(572\) | 0.741841 | − | 1.62441i | 0.0310179 | − | 0.0679198i | ||||
\(573\) | 0.139974 | + | 0.973537i | 0.00584748 | + | 0.0406701i | ||||
\(574\) | 1.41115 | 0.0589003 | ||||||||
\(575\) | 22.0479 | − | 9.39612i | 0.919462 | − | 0.391845i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −4.81891 | − | 33.5163i | −0.200614 | − | 1.39530i | −0.802468 | − | 0.596695i | \(-0.796480\pi\) |
0.601854 | − | 0.798606i | \(-0.294429\pi\) | |||||||
\(578\) | −4.11000 | + | 8.99965i | −0.170954 | + | 0.374336i | ||||
\(579\) | 15.5524 | − | 4.56659i | 0.646335 | − | 0.189781i | ||||
\(580\) | 0.226444 | − | 0.261330i | 0.00940258 | − | 0.0108512i | ||||
\(581\) | −7.97445 | − | 2.34151i | −0.330836 | − | 0.0971422i | ||||
\(582\) | 6.56960 | − | 4.22202i | 0.272319 | − | 0.175009i | ||||
\(583\) | 2.35552 | + | 5.15787i | 0.0975558 | + | 0.213617i | ||||
\(584\) | −6.32766 | − | 7.30251i | −0.261840 | − | 0.302180i | ||||
\(585\) | 0.148826 | + | 0.0956450i | 0.00615322 | + | 0.00395443i | ||||
\(586\) | 1.60330 | − | 11.1512i | 0.0662316 | − | 0.460651i | ||||
\(587\) | 3.02135 | − | 21.0140i | 0.124705 | − | 0.867340i | −0.827410 | − | 0.561598i | \(-0.810187\pi\) |
0.952115 | − | 0.305742i | \(-0.0989043\pi\) | |||||||
\(588\) | −0.841254 | − | 0.540641i | −0.0346927 | − | 0.0222957i | ||||
\(589\) | 5.58585 | + | 6.44642i | 0.230161 | + | 0.265620i | ||||
\(590\) | −0.170879 | − | 0.374174i | −0.00703499 | − | 0.0154045i | ||||
\(591\) | −12.5735 | + | 8.08047i | −0.517203 | + | 0.332386i | ||||
\(592\) | −6.47952 | − | 1.90256i | −0.266307 | − | 0.0781947i | ||||
\(593\) | 5.86511 | − | 6.76870i | 0.240851 | − | 0.277957i | −0.622435 | − | 0.782671i | \(-0.713857\pi\) |
0.863287 | + | 0.504714i | \(0.168402\pi\) | |||||||
\(594\) | −0.495594 | + | 0.145520i | −0.0203345 | + | 0.00597074i | ||||
\(595\) | −0.0566647 | + | 0.124078i | −0.00232302 | + | 0.00508671i | ||||
\(596\) | −1.40947 | − | 9.80306i | −0.0577340 | − | 0.401549i | ||||
\(597\) | −1.85500 | −0.0759200 | ||||||||
\(598\) | 16.3465 | + | 2.77805i | 0.668459 | + | 0.113603i | ||||
\(599\) | 14.6629 | 0.599108 | 0.299554 | − | 0.954079i | \(-0.403162\pi\) | ||||
0.299554 | + | 0.954079i | \(0.403162\pi\) | |||||||
\(600\) | −0.711202 | − | 4.94652i | −0.0290347 | − | 0.201941i | ||||
\(601\) | 6.31641 | − | 13.8310i | 0.257652 | − | 0.564179i | −0.735961 | − | 0.677024i | \(-0.763269\pi\) |
0.993613 | + | 0.112845i | \(0.0359965\pi\) | |||||||
\(602\) | 11.8202 | − | 3.47073i | 0.481756 | − | 0.141456i | ||||
\(603\) | −5.71854 | + | 6.59955i | −0.232877 | + | 0.268754i | ||||
\(604\) | −3.96333 | − | 1.16374i | −0.161266 | − | 0.0473519i | ||||
\(605\) | 0.462025 | − | 0.296926i | 0.0187840 | − | 0.0120717i | ||||
\(606\) | −0.211165 | − | 0.462386i | −0.00857798 | − | 0.0187832i | ||||
\(607\) | −9.55985 | − | 11.0327i | −0.388022 | − | 0.447802i | 0.527810 | − | 0.849362i | \(-0.323013\pi\) |
−0.915832 | + | 0.401561i | \(0.868468\pi\) | |||||||
\(608\) | 1.12000 | + | 0.719780i | 0.0454220 | + | 0.0291909i | ||||
\(609\) | −0.961730 | + | 6.68898i | −0.0389713 | + | 0.271051i | ||||
\(610\) | −0.0929945 | + | 0.646791i | −0.00376524 | + | 0.0261878i | ||||
\(611\) | 17.7356 | + | 11.3980i | 0.717506 | + | 0.461113i | ||||
\(612\) | 1.74570 | + | 2.01465i | 0.0705658 | + | 0.0814372i | ||||
\(613\) | −10.8618 | − | 23.7841i | −0.438705 | − | 0.960629i | −0.991834 | − | 0.127534i | \(-0.959294\pi\) |
0.553130 | − | 0.833095i | \(-0.313433\pi\) | |||||||
\(614\) | −21.9678 | + | 14.1178i | −0.886547 | + | 0.569749i | ||||
\(615\) | 0.0692826 | + | 0.0203432i | 0.00279375 | + | 0.000820318i | ||||
\(616\) | −0.338247 | + | 0.390357i | −0.0136283 | + | 0.0157279i | ||||
\(617\) | 10.8286 | − | 3.17956i | 0.435943 | − | 0.128004i | −0.0563949 | − | 0.998409i | \(-0.517961\pi\) |
0.492338 | + | 0.870404i | \(0.336142\pi\) | |||||||
\(618\) | −6.86570 | + | 15.0338i | −0.276179 | + | 0.604747i | ||||
\(619\) | −3.54779 | − | 24.6754i | −0.142598 | − | 0.991788i | −0.927941 | − | 0.372728i | \(-0.878423\pi\) |
0.785343 | − | 0.619061i | \(-0.212486\pi\) | |||||||
\(620\) | 0.327838 | 0.0131663 | ||||||||
\(621\) | −2.48895 | − | 4.09941i | −0.0998781 | − | 0.164503i | ||||
\(622\) | −23.0237 | −0.923168 | ||||||||
\(623\) | −2.17205 | − | 15.1069i | −0.0870212 | − | 0.605246i | ||||
\(624\) | 1.43624 | − | 3.14492i | 0.0574955 | − | 0.125898i | ||||
\(625\) | −23.9496 | + | 7.03225i | −0.957986 | + | 0.281290i | ||||
\(626\) | 1.27546 | − | 1.47196i | 0.0509775 | − | 0.0588312i | ||||
\(627\) | −0.659808 | − | 0.193737i | −0.0263502 | − | 0.00773711i | ||||
\(628\) | −17.0975 | + | 10.9879i | −0.682265 | + | 0.438465i | ||||
\(629\) | −7.47832 | − | 16.3752i | −0.298180 | − | 0.652923i | ||||
\(630\) | −0.0335087 | − | 0.0386712i | −0.00133502 | − | 0.00154070i | ||||
\(631\) | −14.4426 | − | 9.28168i | −0.574950 | − | 0.369498i | 0.220620 | − | 0.975360i | \(-0.429192\pi\) |
−0.795570 | + | 0.605862i | \(0.792828\pi\) | |||||||
\(632\) | 0.774337 | − | 5.38563i | 0.0308015 | − | 0.214229i | ||||
\(633\) | −1.65104 | + | 11.4832i | −0.0656228 | + | 0.456416i | ||||
\(634\) | −9.51073 | − | 6.11218i | −0.377719 | − | 0.242746i | ||||
\(635\) | −0.187384 | − | 0.216252i | −0.00743610 | − | 0.00858171i | ||||
\(636\) | 4.56040 | + | 9.98588i | 0.180832 | + | 0.395966i | ||||
\(637\) | −2.90851 | + | 1.86919i | −0.115239 | + | 0.0740599i | ||||
\(638\) | 3.34911 | + | 0.983387i | 0.132592 | + | 0.0389327i | ||||
\(639\) | −1.64629 | + | 1.89992i | −0.0651263 | + | 0.0751597i | ||||
\(640\) | 0.0490966 | − | 0.0144160i | 0.00194071 | − | 0.000569844i | ||||
\(641\) | −2.13001 | + | 4.66406i | −0.0841302 | + | 0.184219i | −0.947022 | − | 0.321170i | \(-0.895924\pi\) |
0.862891 | + | 0.505389i | \(0.168651\pi\) | |||||||
\(642\) | −2.41953 | − | 16.8282i | −0.0954911 | − | 0.664155i | ||||
\(643\) | 16.8219 | 0.663389 | 0.331695 | − | 0.943387i | \(-0.392380\pi\) | ||||
0.331695 | + | 0.943387i | \(0.392380\pi\) | |||||||
\(644\) | −4.31014 | − | 2.10301i | −0.169843 | − | 0.0828703i | ||||
\(645\) | 0.630366 | 0.0248206 | ||||||||
\(646\) | 0.505082 | + | 3.51292i | 0.0198722 | + | 0.138214i | ||||
\(647\) | 5.71530 | − | 12.5148i | 0.224692 | − | 0.492006i | −0.763390 | − | 0.645938i | \(-0.776466\pi\) |
0.988081 | + | 0.153932i | \(0.0491937\pi\) | |||||||
\(648\) | −0.959493 | + | 0.281733i | −0.0376924 | + | 0.0110675i | ||||
\(649\) | 2.71914 | − | 3.13806i | 0.106736 | − | 0.123179i | ||||
\(650\) | −16.5779 | − | 4.86770i | −0.650237 | − | 0.190927i | ||||
\(651\) | −5.38985 | + | 3.46385i | −0.211245 | + | 0.135759i | ||||
\(652\) | 6.16139 | + | 13.4916i | 0.241299 | + | 0.528370i | ||||
\(653\) | −8.63526 | − | 9.96562i | −0.337924 | − | 0.389985i | 0.561199 | − | 0.827681i | \(-0.310340\pi\) |
−0.899123 | + | 0.437696i | \(0.855795\pi\) | |||||||
\(654\) | −6.92635 | − | 4.45130i | −0.270842 | − | 0.174059i | ||||
\(655\) | 0.0450109 | − | 0.313058i | 0.00175872 | − | 0.0122322i | ||||
\(656\) | 0.200828 | − | 1.39679i | 0.00784100 | − | 0.0545354i | ||||
\(657\) | 8.12870 | + | 5.22400i | 0.317131 | + | 0.203808i | ||||
\(658\) | −3.99323 | − | 4.60843i | −0.155672 | − | 0.179655i | ||||
\(659\) | 4.45666 | + | 9.75871i | 0.173607 | + | 0.380146i | 0.976355 | − | 0.216172i | \(-0.0693572\pi\) |
−0.802749 | + | 0.596318i | \(0.796630\pi\) | |||||||
\(660\) | −0.0222342 | + | 0.0142890i | −0.000865463 | + | 0.000556199i | ||||
\(661\) | −19.8648 | − | 5.83283i | −0.772651 | − | 0.226871i | −0.128439 | − | 0.991717i | \(-0.540997\pi\) |
−0.644213 | + | 0.764847i | \(0.722815\pi\) | |||||||
\(662\) | 21.6893 | − | 25.0308i | 0.842979 | − | 0.972849i | ||||
\(663\) | 8.84314 | − | 2.59658i | 0.343439 | − | 0.100843i | ||||
\(664\) | −3.45256 | + | 7.56005i | −0.133985 | + | 0.293387i | ||||
\(665\) | −0.00969506 | − | 0.0674306i | −0.000375958 | − | 0.00261485i | ||||
\(666\) | 6.75307 | 0.261676 | ||||||||
\(667\) | −0.827614 | + | 32.3985i | −0.0320453 | + | 1.25448i | ||||
\(668\) | −4.80889 | −0.186061 | ||||||||
\(669\) | 2.62257 | + | 18.2404i | 0.101394 | + | 0.705213i | ||||
\(670\) | −0.185621 | + | 0.406454i | −0.00717118 | + | 0.0157027i | ||||
\(671\) | −6.32884 | + | 1.85832i | −0.244322 | + | 0.0717395i | ||||
\(672\) | −0.654861 | + | 0.755750i | −0.0252618 | + | 0.0291537i | ||||
\(673\) | 40.7404 | + | 11.9625i | 1.57043 | + | 0.461119i | 0.947126 | − | 0.320862i | \(-0.103973\pi\) |
0.623302 | + | 0.781981i | \(0.285791\pi\) | |||||||
\(674\) | −8.54252 | + | 5.48995i | −0.329046 | + | 0.211465i | ||||
\(675\) | 2.07599 | + | 4.54578i | 0.0799048 | + | 0.174967i | ||||
\(676\) | 0.685436 | + | 0.791035i | 0.0263629 | + | 0.0304244i | ||||
\(677\) | −2.67272 | − | 1.71765i | −0.102721 | − | 0.0660148i | 0.488272 | − | 0.872692i | \(-0.337627\pi\) |
−0.590993 | + | 0.806677i | \(0.701264\pi\) | |||||||
\(678\) | −0.425251 | + | 2.95769i | −0.0163317 | + | 0.113589i | ||||
\(679\) | −1.11138 | + | 7.72981i | −0.0426508 | + | 0.296643i | ||||
\(680\) | 0.114751 | + | 0.0737461i | 0.00440050 | + | 0.00282803i | ||||
\(681\) | 11.7408 | + | 13.5496i | 0.449909 | + | 0.519223i | ||||
\(682\) | 1.37473 | + | 3.01023i | 0.0526410 | + | 0.115268i | ||||
\(683\) | 36.9509 | − | 23.7469i | 1.41389 | − | 0.908651i | 0.413890 | − | 0.910327i | \(-0.364170\pi\) |
0.999999 | + | 0.00167613i | \(0.000533528\pi\) | |||||||
\(684\) | −1.27742 | − | 0.375084i | −0.0488433 | − | 0.0143417i | ||||
\(685\) | 0.330574 | − | 0.381502i | 0.0126306 | − | 0.0145765i | ||||
\(686\) | 0.959493 | − | 0.281733i | 0.0366336 | − | 0.0107566i | ||||
\(687\) | −7.48292 | + | 16.3853i | −0.285491 | + | 0.625139i | ||||
\(688\) | −1.75321 | − | 12.1938i | −0.0668404 | − | 0.464886i | ||||
\(689\) | 37.9546 | 1.44596 | ||||||||
\(690\) | −0.181296 | − | 0.165386i | −0.00690182 | − | 0.00629613i | ||||
\(691\) | 11.1836 | 0.425443 | 0.212722 | − | 0.977113i | \(-0.431767\pi\) | ||||
0.212722 | + | 0.977113i | \(0.431767\pi\) | |||||||
\(692\) | −3.28894 | − | 22.8751i | −0.125027 | − | 0.869579i | ||||
\(693\) | 0.214569 | − | 0.469840i | 0.00815080 | − | 0.0178478i | ||||
\(694\) | −7.84883 | + | 2.30462i | −0.297937 | + | 0.0874823i | ||||
\(695\) | 0.157924 | − | 0.182254i | 0.00599040 | − | 0.00691329i | ||||
\(696\) | 6.48403 | + | 1.90388i | 0.245776 | + | 0.0721664i | ||||
\(697\) | 3.16462 | − | 2.03378i | 0.119868 | − | 0.0770347i | ||||
\(698\) | 5.37869 | + | 11.7777i | 0.203587 | + | 0.445792i | ||||
\(699\) | 4.97159 | + | 5.73752i | 0.188043 | + | 0.217013i | ||||
\(700\) | 4.20407 | + | 2.70179i | 0.158899 | + | 0.102118i | ||||
\(701\) | −4.75052 | + | 33.0406i | −0.179425 | + | 1.24793i | 0.678673 | + | 0.734441i | \(0.262555\pi\) |
−0.858098 | + | 0.513486i | \(0.828354\pi\) | |||||||
\(702\) | −0.492033 | + | 3.42217i | −0.0185706 | + | 0.129161i | ||||
\(703\) | 7.56343 | + | 4.86072i | 0.285260 | + | 0.183326i | ||||
\(704\) | 0.338247 | + | 0.390357i | 0.0127481 | + | 0.0147121i | ||||
\(705\) | −0.129618 | − | 0.283825i | −0.00488171 | − | 0.0106895i | ||||
\(706\) | 10.2766 | − | 6.60437i | 0.386765 | − | 0.248559i | ||||
\(707\) | 0.487732 | + | 0.143211i | 0.0183430 | + | 0.00538600i | ||||
\(708\) | 5.26438 | − | 6.07542i | 0.197847 | − | 0.228328i | ||||
\(709\) | −16.2942 | + | 4.78441i | −0.611941 | + | 0.179682i | −0.572995 | − | 0.819559i | \(-0.694218\pi\) |
−0.0389465 | + | 0.999241i | \(0.512400\pi\) | |||||||
\(710\) | −0.0534379 | + | 0.117013i | −0.00200549 | + | 0.00439141i | ||||
\(711\) | 0.774337 | + | 5.38563i | 0.0290399 | + | 0.201977i | ||||
\(712\) | −15.2623 | −0.571978 | ||||||||
\(713\) | −23.7278 | + | 19.5220i | −0.888614 | + | 0.731106i | ||||
\(714\) | −2.66576 | −0.0997635 | ||||||||
\(715\) | 0.0130043 | + | 0.0904471i | 0.000486334 | + | 0.00338253i | ||||
\(716\) | 10.4701 | − | 22.9264i | 0.391287 | − | 0.856798i | ||||
\(717\) | 8.31967 | − | 2.44288i | 0.310704 | − | 0.0912308i | ||||
\(718\) | 15.8609 | − | 18.3044i | 0.591923 | − | 0.683115i | ||||
\(719\) | 11.9686 | + | 3.51431i | 0.446355 | + | 0.131062i | 0.497183 | − | 0.867646i | \(-0.334368\pi\) |
−0.0508278 | + | 0.998707i | \(0.516186\pi\) | |||||||
\(720\) | −0.0430463 | + | 0.0276642i | −0.00160424 | + | 0.00103098i | ||||
\(721\) | −6.86570 | − | 15.0338i | −0.255692 | − | 0.559887i | ||||
\(722\) | 11.2816 | + | 13.0197i | 0.419859 | + | 0.484543i | ||||
\(723\) | −14.1065 | − | 9.06572i | −0.524628 | − | 0.337158i | ||||
\(724\) | 2.63215 | − | 18.3070i | 0.0978232 | − | 0.680376i | ||||
\(725\) | 4.80613 | − | 33.4274i | 0.178495 | − | 1.24146i | ||||
\(726\) | 9.02935 | + | 5.80281i | 0.335111 | + | 0.215363i | ||||
\(727\) | 20.6658 | + | 23.8496i | 0.766451 | + | 0.884532i | 0.996054 | − | 0.0887525i | \(-0.0282880\pi\) |
−0.229602 | + | 0.973285i | \(0.573743\pi\) | |||||||
\(728\) | 1.43624 | + | 3.14492i | 0.0532305 | + | 0.116559i | ||||
\(729\) | 0.841254 | − | 0.540641i | 0.0311575 | − | 0.0200237i | ||||
\(730\) | 0.474400 | + | 0.139297i | 0.0175583 | + | 0.00515560i | ||||
\(731\) | 21.5057 | − | 24.8189i | 0.795416 | − | 0.917959i | ||||
\(732\) | −12.2529 | + | 3.59778i | −0.452881 | + | 0.132978i | ||||
\(733\) | 20.2560 | − | 44.3544i | 0.748171 | − | 1.63827i | −0.0214545 | − | 0.999770i | \(-0.506830\pi\) |
0.769625 | − | 0.638496i | \(-0.220443\pi\) | |||||||
\(734\) | 2.26367 | + | 15.7442i | 0.0835535 | + | 0.581127i | ||||
\(735\) | 0.0511693 | 0.00188741 | ||||||||
\(736\) | −2.69500 | + | 3.96698i | −0.0993392 | + | 0.146225i | ||||
\(737\) | −4.51046 | −0.166145 | ||||||||
\(738\) | 0.200828 | + | 1.39679i | 0.00739257 | + | 0.0514164i | ||||
\(739\) | 1.51454 | − | 3.31639i | 0.0557134 | − | 0.121995i | −0.879728 | − | 0.475478i | \(-0.842275\pi\) |
0.935441 | + | 0.353482i | \(0.115003\pi\) | |||||||
\(740\) | 0.331552 | − | 0.0973525i | 0.0121881 | − | 0.00357875i | ||||
\(741\) | −3.01428 | + | 3.47867i | −0.110732 | + | 0.127792i | ||||
\(742\) | −10.5332 | − | 3.09284i | −0.386688 | − | 0.113542i | ||||
\(743\) | −5.03777 | + | 3.23758i | −0.184818 | + | 0.118775i | −0.629778 | − | 0.776775i | \(-0.716854\pi\) |
0.444960 | + | 0.895550i | \(0.353218\pi\) | |||||||
\(744\) | 2.66153 | + | 5.82794i | 0.0975765 | + | 0.213663i | ||||
\(745\) | 0.331866 | + | 0.382994i | 0.0121586 | + | 0.0140318i | ||||
\(746\) | 27.7299 | + | 17.8209i | 1.01526 | + | 0.652471i | ||||
\(747\) | 1.18279 | − | 8.22652i | 0.0432762 | − | 0.300992i | ||||
\(748\) | −0.195955 | + | 1.36289i | −0.00716481 | + | 0.0498324i | ||||
\(749\) | 14.3023 | + | 9.19156i | 0.522596 | + | 0.335852i | ||||
\(750\) | 0.335000 | + | 0.386610i | 0.0122325 | + | 0.0141170i | ||||
\(751\) | −5.44732 | − | 11.9280i | −0.198776 | − | 0.435258i | 0.783827 | − | 0.620980i | \(-0.213265\pi\) |
−0.982602 | + | 0.185722i | \(0.940538\pi\) | |||||||
\(752\) | −5.12982 | + | 3.29674i | −0.187065 | + | 0.120220i | ||||
\(753\) | −5.92020 | − | 1.73833i | −0.215744 | − | 0.0633482i | ||||
\(754\) | 15.3002 | − | 17.6573i | 0.557199 | − | 0.643042i | ||||
\(755\) | 0.202801 | − | 0.0595477i | 0.00738068 | − | 0.00216716i | ||||
\(756\) | 0.415415 | − | 0.909632i | 0.0151085 | − | 0.0330830i | ||||
\(757\) | −5.63535 | − | 39.1947i | −0.204820 | − | 1.42456i | −0.789728 | − | 0.613457i | \(-0.789778\pi\) |
0.584908 | − | 0.811100i | \(-0.301131\pi\) | |||||||
\(758\) | 10.5671 | 0.383813 | ||||||||
\(759\) | 0.758355 | − | 2.35819i | 0.0275265 | − | 0.0855969i | ||||
\(760\) | −0.0681240 | −0.00247112 | ||||||||
\(761\) | −0.181804 | − | 1.26447i | −0.00659038 | − | 0.0458371i | 0.986261 | − | 0.165195i | \(-0.0528254\pi\) |
−0.992851 | + | 0.119358i | \(0.961916\pi\) | |||||||
\(762\) | 2.32304 | − | 5.08674i | 0.0841547 | − | 0.184273i | ||||
\(763\) | 7.89986 | − | 2.31961i | 0.285994 | − | 0.0839755i | ||||
\(764\) | −0.644087 | + | 0.743316i | −0.0233023 | + | 0.0268922i | ||||
\(765\) | −0.130880 | − | 0.0384297i | −0.00473196 | − | 0.00138943i | ||||
\(766\) | 12.9456 | − | 8.31964i | 0.467744 | − | 0.300601i | ||||
\(767\) | −11.5458 | − | 25.2818i | −0.416895 | − | 0.912873i | ||||
\(768\) | 0.654861 | + | 0.755750i | 0.0236303 | + | 0.0272708i | ||||
\(769\) | 26.4289 | + | 16.9848i | 0.953050 | + | 0.612488i | 0.922066 | − | 0.387032i | \(-0.126500\pi\) |
0.0309839 | + | 0.999520i | \(0.490136\pi\) | |||||||
\(770\) | 0.00376135 | − | 0.0261608i | 0.000135550 | − | 0.000942769i | ||||
\(771\) | 1.57747 | − | 10.9715i | 0.0568111 | − | 0.395130i | ||||
\(772\) | 13.6358 | + | 8.76322i | 0.490765 | + | 0.315395i | ||||
\(773\) | −11.8778 | − | 13.7077i | −0.427215 | − | 0.493033i | 0.500806 | − | 0.865560i | \(-0.333037\pi\) |
−0.928022 | + | 0.372527i | \(0.878492\pi\) | |||||||
\(774\) | 5.11759 | + | 11.2060i | 0.183948 | + | 0.402790i | ||||
\(775\) | 26.9351 | − | 17.3102i | 0.967538 | − | 0.621799i | ||||
\(776\) | 7.49296 | + | 2.20013i | 0.268982 | + | 0.0789802i | ||||
\(777\) | −4.42232 | + | 5.10363i | −0.158650 | + | 0.183092i | ||||
\(778\) | −34.0345 | + | 9.99342i | −1.22020 | + | 0.358282i | ||||
\(779\) | −0.780453 | + | 1.70895i | −0.0279626 | + | 0.0612296i | ||||
\(780\) | 0.0251770 | + | 0.175110i | 0.000901480 | + | 0.00626993i | ||||
\(781\) | −1.29850 | −0.0464640 | ||||||||
\(782\) | −12.6967 | + | 1.49569i | −0.454034 | + | 0.0534856i | ||||
\(783\) | −6.75776 | −0.241503 | ||||||||
\(784\) | −0.142315 | − | 0.989821i | −0.00508267 | − | 0.0353508i | ||||
\(785\) | 0.432014 | − | 0.945978i | 0.0154192 | − | 0.0337634i | ||||
\(786\) | 5.93063 | − | 1.74139i | 0.211538 | − | 0.0621133i | ||||
\(787\) | −2.86276 | + | 3.30380i | −0.102046 | + | 0.117768i | −0.804475 | − | 0.593986i | \(-0.797553\pi\) |
0.702429 | + | 0.711754i | \(0.252099\pi\) | |||||||
\(788\) | −14.3407 | − | 4.21080i | −0.510865 | − | 0.150004i | ||||
\(789\) | 7.12044 | − | 4.57603i | 0.253494 | − | 0.162911i | ||||
\(790\) | 0.115657 | + | 0.253253i | 0.00411488 | + | 0.00901034i | ||||
\(791\) | −1.95679 | − | 2.25826i | −0.0695755 | − | 0.0802944i | ||||
\(792\) | −0.434522 | − | 0.279250i | −0.0154401 | − | 0.00992272i | ||||
\(793\) | −6.28336 | + | 43.7017i | −0.223129 | + | 1.55189i | ||||
\(794\) | −5.38403 | + | 37.4468i | −0.191072 | + | 1.32894i | ||||
\(795\) | −0.472560 | − | 0.303696i | −0.0167600 | − | 0.0107710i | ||||
\(796\) | −1.21477 | − | 1.40191i | −0.0430562 | − | 0.0496895i | ||||
\(797\) | −3.26267 | − | 7.14426i | −0.115570 | − | 0.253063i | 0.843004 | − | 0.537908i | \(-0.180785\pi\) |
−0.958574 | + | 0.284845i | \(0.908058\pi\) | |||||||
\(798\) | 1.12000 | − | 0.719780i | 0.0396476 | − | 0.0254799i | ||||
\(799\) | −15.5969 | − | 4.57966i | −0.551778 | − | 0.162017i | ||||
\(800\) | 3.27259 | − | 3.77677i | 0.115703 | − | 0.133529i | ||||
\(801\) | 14.6440 | − | 4.29988i | 0.517422 | − | 0.151929i | ||||
\(802\) | 0.648593 | − | 1.42022i | 0.0229026 | − | 0.0501497i | ||||
\(803\) | 0.710279 | + | 4.94010i | 0.0250652 | + | 0.174332i | ||||
\(804\) | −8.73246 | −0.307970 | ||||||||
\(805\) | 0.243714 | − | 0.0287097i | 0.00858979 | − | 0.00101188i | ||||
\(806\) | 22.1510 | 0.780236 | ||||||||
\(807\) | 4.09889 | + | 28.5084i | 0.144288 | + | 1.00354i | ||||
\(808\) | 0.211165 | − | 0.462386i | 0.00742875 | − | 0.0162667i | ||||
\(809\) | 30.3919 | − | 8.92386i | 1.06852 | − | 0.313746i | 0.300244 | − | 0.953863i | \(-0.402932\pi\) |
0.768278 | + | 0.640116i | \(0.221114\pi\) | |||||||
\(810\) | 0.0335087 | − | 0.0386712i | 0.00117738 | − | 0.00135877i | ||||
\(811\) | −31.1210 | − | 9.13794i | −1.09280 | − | 0.320876i | −0.314815 | − | 0.949153i | \(-0.601942\pi\) |
−0.777990 | + | 0.628277i | \(0.783761\pi\) | |||||||
\(812\) | −5.68499 | + | 3.65352i | −0.199504 | + | 0.128213i | ||||
\(813\) | −1.12421 | − | 2.46168i | −0.0394278 | − | 0.0863349i | ||||
\(814\) | 2.28420 | + | 2.63611i | 0.0800612 | + | 0.0923956i | ||||
\(815\) | −0.638459 | − | 0.410312i | −0.0223642 | − | 0.0143726i | ||||
\(816\) | −0.379377 | + | 2.63863i | −0.0132809 | + | 0.0923704i | ||||
\(817\) | −2.33413 | + | 16.2342i | −0.0816608 | + | 0.567963i | ||||
\(818\) | 27.8724 | + | 17.9125i | 0.974537 | + | 0.626297i | ||||
\(819\) | −2.26409 | − | 2.61290i | −0.0791136 | − | 0.0913020i | ||||
\(820\) | 0.0299961 | + | 0.0656823i | 0.00104751 | + | 0.00229373i | ||||
\(821\) | 33.2243 | − | 21.3519i | 1.15953 | − | 0.745188i | 0.188020 | − | 0.982165i | \(-0.439793\pi\) |
0.971515 | + | 0.236977i | \(0.0761567\pi\) | |||||||
\(822\) | 9.46568 | + | 2.77938i | 0.330154 | + | 0.0969419i | ||||
\(823\) | 5.11657 | − | 5.90483i | 0.178352 | − | 0.205830i | −0.659533 | − | 0.751675i | \(-0.729246\pi\) |
0.837886 | + | 0.545846i | \(0.183792\pi\) | |||||||
\(824\) | −15.8578 | + | 4.65628i | −0.552434 | + | 0.162209i | ||||
\(825\) | −1.07228 | + | 2.34797i | −0.0373321 | + | 0.0817459i | ||||
\(826\) | 1.14406 | + | 7.95710i | 0.0398069 | + | 0.276863i | ||||
\(827\) | 4.67455 | 0.162550 | 0.0812750 | − | 0.996692i | \(-0.474101\pi\) | ||||
0.0812750 | + | 0.996692i | \(0.474101\pi\) | |||||||
\(828\) | 1.46821 | − | 4.56556i | 0.0510238 | − | 0.158664i | ||||
\(829\) | 2.05154 | 0.0712531 | 0.0356265 | − | 0.999365i | \(-0.488657\pi\) | ||||
0.0356265 | + | 0.999365i | \(0.488657\pi\) | |||||||
\(830\) | −0.0605227 | − | 0.420945i | −0.00210077 | − | 0.0146112i | ||||
\(831\) | 5.22849 | − | 11.4488i | 0.181374 | − | 0.397154i | ||||
\(832\) | 3.31731 | − | 0.974050i | 0.115007 | − | 0.0337691i | ||||
\(833\) | 1.74570 | − | 2.01465i | 0.0604849 | − | 0.0698033i | ||||
\(834\) | 4.52201 | + | 1.32778i | 0.156585 | + | 0.0459774i | ||||
\(835\) | 0.207005 | − | 0.133034i | 0.00716370 | − | 0.00460383i | ||||
\(836\) | −0.285665 | − | 0.625520i | −0.00987995 | − | 0.0216341i | ||||
\(837\) | −4.19564 | − | 4.84203i | −0.145023 | − | 0.167365i | ||||
\(838\) | 1.23455 | + | 0.793394i | 0.0426467 | + | 0.0274074i | ||||
\(839\) | −0.849611 | + | 5.90918i | −0.0293318 | + | 0.204007i | −0.999217 | − | 0.0395534i | \(-0.987406\pi\) |
0.969886 | + | 0.243561i | \(0.0783156\pi\) | |||||||
\(840\) | 0.00728215 | − | 0.0506484i | 0.000251258 | − | 0.00174754i | ||||
\(841\) | 14.0215 | + | 9.01105i | 0.483499 | + | 0.310726i | ||||
\(842\) | −5.88441 | − | 6.79097i | −0.202790 | − | 0.234032i | ||||
\(843\) | −9.69270 | − | 21.2241i | −0.333834 | − | 0.730995i | ||||
\(844\) | −9.75962 | + | 6.27213i | −0.335940 | + | 0.215896i | ||||
\(845\) | −0.0513889 | − | 0.0150891i | −0.00176783 | − | 0.000519082i | ||||
\(846\) | 3.99323 | − | 4.60843i | 0.137290 | − | 0.158441i | ||||
\(847\) | −10.2984 | + | 3.02389i | −0.353859 | + | 0.103902i | ||||
\(848\) | −4.56040 | + | 9.98588i | −0.156605 | + | 0.342916i | ||||
\(849\) | −0.193539 | − | 1.34609i | −0.00664224 | − | 0.0461978i | ||||
\(850\) | 13.3218 | 0.456934 | ||||||||
\(851\) | −18.1995 | + | 26.7893i | −0.623872 | + | 0.918325i | ||||
\(852\) | −2.51396 | −0.0861267 | ||||||||
\(853\) | −0.216748 | − | 1.50752i | −0.00742131 | − | 0.0516164i | 0.985774 | − | 0.168075i | \(-0.0537550\pi\) |
−0.993196 | + | 0.116458i | \(0.962846\pi\) | |||||||
\(854\) | 5.30493 | − | 11.6162i | 0.181531 | − | 0.397498i | ||||
\(855\) | 0.0653645 | − | 0.0191928i | 0.00223542 | − | 0.000656378i | ||||
\(856\) | 11.1334 | − | 12.8487i | 0.380533 | − | 0.439159i | ||||
\(857\) | −7.73560 | − | 2.27138i | −0.264243 | − | 0.0775888i | 0.146927 | − | 0.989147i | \(-0.453062\pi\) |
−0.411170 | + | 0.911559i | \(0.634880\pi\) | |||||||
\(858\) | −1.50230 | + | 0.965467i | −0.0512875 | + | 0.0329605i | ||||
\(859\) | −11.9363 | − | 26.1368i | −0.407260 | − | 0.891776i | −0.996482 | − | 0.0838045i | \(-0.973293\pi\) |
0.589222 | − | 0.807971i | \(-0.299434\pi\) | |||||||
\(860\) | 0.412802 | + | 0.476399i | 0.0140764 | + | 0.0162451i | ||||
\(861\) | −1.18714 | − | 0.762926i | −0.0404575 | − | 0.0260004i | ||||
\(862\) | −2.25699 | + | 15.6977i | −0.0768733 | + | 0.534666i | ||||
\(863\) | 1.77758 | − | 12.3633i | 0.0605095 | − | 0.420853i | −0.936941 | − | 0.349488i | \(-0.886356\pi\) |
0.997450 | − | 0.0713646i | \(-0.0227354\pi\) | |||||||
\(864\) | −0.841254 | − | 0.540641i | −0.0286200 | − | 0.0183930i | ||||
\(865\) | 0.774397 | + | 0.893702i | 0.0263303 | + | 0.0303868i | ||||
\(866\) | −4.05009 | − | 8.86846i | −0.137628 | − | 0.301362i | ||||
\(867\) | 8.32314 | − | 5.34895i | 0.282669 | − | 0.181660i | ||||
\(868\) | −6.14740 | − | 1.80504i | −0.208656 | − | 0.0612670i | ||||
\(869\) | −1.84040 | + | 2.12394i | −0.0624314 | + | 0.0720497i | ||||
\(870\) | −0.331783 | + | 0.0974202i | −0.0112485 | + | 0.00330286i | ||||
\(871\) | −12.5419 | + | 27.4629i | −0.424965 | + | 0.930545i | ||||
\(872\) | −1.17173 | − | 8.14957i | −0.0396798 | − | 0.275979i | ||||
\(873\) | −7.80930 | −0.264305 | ||||||||
\(874\) | 4.93059 | − | 4.05664i | 0.166780 | − | 0.137218i | ||||
\(875\) | −0.511559 | −0.0172938 | ||||||||
\(876\) | 1.37513 | + | 9.56425i | 0.0464614 | + | 0.323146i | ||||
\(877\) | 19.0120 | − | 41.6306i | 0.641991 | − | 1.40576i | −0.256401 | − | 0.966571i | \(-0.582537\pi\) |
0.898392 | − | 0.439194i | \(-0.144736\pi\) | |||||||
\(878\) | 0.00952659 | − | 0.00279726i | 0.000321507 | − | 9.44029e-5i | ||||
\(879\) | −7.37757 | + | 8.51416i | −0.248839 | + | 0.287176i | ||||
\(880\) | −0.0253592 | − | 0.00744613i | −0.000854858 | − | 0.000251009i | ||||
\(881\) | −9.10312 | + | 5.85022i | −0.306692 | + | 0.197099i | −0.684929 | − | 0.728610i | \(-0.740167\pi\) |
0.378237 | + | 0.925709i | \(0.376530\pi\) | |||||||
\(882\) | 0.415415 | + | 0.909632i | 0.0139878 | + | 0.0306289i | ||||
\(883\) | −16.7965 | − | 19.3842i | −0.565246 | − | 0.652329i | 0.399120 | − | 0.916899i | \(-0.369316\pi\) |
−0.964367 | + | 0.264570i | \(0.914770\pi\) | |||||||
\(884\) | 7.75339 | + | 4.98280i | 0.260775 | + | 0.167590i | ||||
\(885\) | −0.0585407 | + | 0.407159i | −0.00196782 | + | 0.0136865i | ||||
\(886\) | −5.76117 | + | 40.0698i | −0.193550 | + | 1.34617i | ||||
\(887\) | 38.5568 | + | 24.7790i | 1.29461 | + | 0.831996i | 0.992614 | − | 0.121313i | \(-0.0387105\pi\) |
0.301997 | + | 0.953309i | \(0.402347\pi\) | |||||||
\(888\) | 4.42232 | + | 5.10363i | 0.148403 | + | 0.171266i | ||||
\(889\) | 2.32304 | + | 5.08674i | 0.0779121 | + | 0.170604i | ||||
\(890\) | 0.656985 | − | 0.422218i | 0.0220222 | − | 0.0141528i | ||||
\(891\) | 0.495594 | + | 0.145520i | 0.0166030 | + | 0.00487509i | ||||
\(892\) | −12.0677 | + | 13.9269i | −0.404058 | + | 0.466307i | ||||
\(893\) | 7.78947 | − | 2.28720i | 0.260665 | − | 0.0765381i | ||||
\(894\) | −4.11422 | + | 9.00888i | −0.137600 | + | 0.301302i | ||||
\(895\) | 0.183539 | + | 1.27654i | 0.00613504 | + | 0.0426701i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | −12.2496 | − | 11.1746i | −0.409004 | − | 0.373110i | ||||
\(898\) | −4.31838 | −0.144106 | ||||||||
\(899\) | 6.16173 | + | 42.8558i | 0.205505 | + | 1.42932i | ||||
\(900\) | −2.07599 | + | 4.54578i | −0.0691996 | + | 0.151526i | ||||
\(901\) | −28.0791 | + | 8.24477i | −0.935450 | + | 0.274673i | ||||
\(902\) | −0.477317 | + | 0.550853i | −0.0158929 | + | 0.0183414i | ||||
\(903\) | −11.8202 | − | 3.47073i | −0.393352 | − | 0.115499i | ||||
\(904\) | −2.51375 | + | 1.61549i | −0.0836062 | + | 0.0537304i | ||||
\(905\) | 0.393145 | + | 0.860867i | 0.0130686 | + | 0.0286162i | ||||
\(906\) | 2.70500 | + | 3.12174i | 0.0898677 | + | 0.103713i | ||||
\(907\) | 27.3368 | + | 17.5683i | 0.907704 | + | 0.583346i | 0.909065 | − | 0.416653i | \(-0.136797\pi\) |
−0.00136184 | + | 0.999999i | \(0.500433\pi\) | |||||||
\(908\) | −2.55152 | + | 17.7462i | −0.0846753 | + | 0.588930i | ||||
\(909\) | −0.0723418 | + | 0.503148i | −0.00239943 | + | 0.0166884i | ||||
\(910\) | −0.148826 | − | 0.0956450i | −0.00493355 | − | 0.00317060i | ||||
\(911\) | 15.4930 | + | 17.8799i | 0.513306 | + | 0.592387i | 0.951942 | − | 0.306278i | \(-0.0990836\pi\) |
−0.438636 | + | 0.898665i | \(0.644538\pi\) | |||||||
\(912\) | −0.553061 | − | 1.21104i | −0.0183137 | − | 0.0401014i | ||||
\(913\) | 3.61136 | − | 2.32088i | 0.119518 | − | 0.0768099i | ||||
\(914\) | 10.7175 | + | 3.14693i | 0.354503 | + | 0.104091i | ||||
\(915\) | 0.427913 | − | 0.493838i | 0.0141464 | − | 0.0163258i | ||||
\(916\) | −17.2835 | + | 5.07488i | −0.571062 | + | 0.167679i | ||||
\(917\) | −2.56768 | + | 5.62244i | −0.0847923 | + | 0.185669i | ||||
\(918\) | −0.379377 | − | 2.63863i | −0.0125213 | − | 0.0870876i | ||||
\(919\) | 28.4067 | 0.937050 | 0.468525 | − | 0.883450i | \(-0.344786\pi\) | ||||
0.468525 | + | 0.883450i | \(0.344786\pi\) | |||||||
\(920\) | 0.00626663 | − | 0.245319i | 0.000206605 | − | 0.00808793i | ||||
\(921\) | 26.1131 | 0.860457 | ||||||||
\(922\) | −5.98068 | − | 41.5966i | −0.196963 | − | 1.36991i | ||||
\(923\) | −3.61064 | + | 7.90620i | −0.118846 | + | 0.260236i | ||||
\(924\) | 0.495594 | − | 0.145520i | 0.0163039 | − | 0.00478724i | ||||
\(925\) | 22.1000 | − | 25.5048i | 0.726644 | − | 0.838592i | ||||
\(926\) | −15.1143 | − | 4.43796i | −0.496686 | − | 0.145840i | ||||
\(927\) | 13.9037 | − | 8.93534i | 0.456656 | − | 0.293475i | ||||
\(928\) | 2.80728 | + | 6.14708i | 0.0921533 | + | 0.201788i | ||||
\(929\) | 13.6300 | + | 15.7298i | 0.447184 | + | 0.516078i | 0.933925 | − | 0.357468i | \(-0.116360\pi\) |
−0.486741 | + | 0.873546i | \(0.661814\pi\) | |||||||
\(930\) | −0.275795 | − | 0.177242i | −0.00904366 | − | 0.00581201i | ||||
\(931\) | −0.189470 | + | 1.31779i | −0.00620964 | + | 0.0431890i | ||||
\(932\) | −1.08043 | + | 7.51456i | −0.0353907 | + | 0.246147i | ||||
\(933\) | 19.3688 | + | 12.4476i | 0.634106 | + | 0.407515i | ||||
\(934\) | 9.50557 | + | 10.9700i | 0.311032 | + | 0.358950i | ||||
\(935\) | −0.0292682 | − | 0.0640885i | −0.000957174 | − | 0.00209592i | ||||
\(936\) | −2.90851 | + | 1.86919i | −0.0950677 | + | 0.0610963i | ||||
\(937\) | 3.11983 | + | 0.916065i | 0.101920 | + | 0.0299265i | 0.332295 | − | 0.943175i | \(-0.392177\pi\) |
−0.230375 | + | 0.973102i | \(0.573995\pi\) | |||||||
\(938\) | 5.71854 | − | 6.59955i | 0.186717 | − | 0.215483i | ||||
\(939\) | −1.86878 | + | 0.548724i | −0.0609854 | + | 0.0179069i | ||||
\(940\) | 0.129618 | − | 0.283825i | 0.00422769 | − | 0.00925734i | ||||
\(941\) | −4.16935 | − | 28.9985i | −0.135917 | − | 0.945323i | −0.937635 | − | 0.347621i | \(-0.886990\pi\) |
0.801718 | − | 0.597702i | \(-0.203920\pi\) | |||||||
\(942\) | 20.3239 | 0.662187 | ||||||||
\(943\) | −6.08226 | − | 2.96767i | −0.198066 | − | 0.0966405i | ||||
\(944\) | 8.03893 | 0.261645 | ||||||||
\(945\) | 0.00728215 | + | 0.0506484i | 0.000236888 | + | 0.00164759i | ||||
\(946\) | −2.64332 | + | 5.78807i | −0.0859418 | + | 0.188186i | ||||
\(947\) | −13.3732 | + | 3.92671i | −0.434569 | + | 0.127601i | −0.491698 | − | 0.870766i | \(-0.663624\pi\) |
0.0571289 | + | 0.998367i | \(0.481805\pi\) | |||||||
\(948\) | −3.56311 | + | 4.11204i | −0.115724 | + | 0.133553i | ||||
\(949\) | 32.0538 | + | 9.41185i | 1.04051 | + | 0.305522i | ||||
\(950\) | −5.59707 | + | 3.59702i | −0.181593 | + | 0.116703i | ||||
\(951\) | 4.69644 | + | 10.2838i | 0.152293 | + | 0.333474i | ||||
\(952\) | −1.74570 | − | 2.01465i | −0.0565785 | − | 0.0652951i | ||||
\(953\) | −30.3451 | − | 19.5016i | −0.982975 | − | 0.631720i | −0.0527108 | − | 0.998610i | \(-0.516786\pi\) |
−0.930264 | + | 0.366890i | \(0.880423\pi\) | |||||||
\(954\) | 1.56232 | − | 10.8662i | 0.0505821 | − | 0.351806i | ||||
\(955\) | 0.00716234 | − | 0.0498152i | 0.000231768 | − | 0.00161198i | ||||
\(956\) | 7.29443 | + | 4.68784i | 0.235919 | + | 0.151616i | ||||
\(957\) | −2.28579 | − | 2.63794i | −0.0738891 | − | 0.0852726i | ||||
\(958\) | 8.30660 | + | 18.1889i | 0.268374 | + | 0.587657i | ||||
\(959\) | −8.29922 | + | 5.33358i | −0.267996 | + | 0.172230i | ||||
\(960\) | −0.0490966 | − | 0.0144160i | −0.00158458 | − | 0.000465276i | ||||
\(961\) | −6.58049 | + | 7.59429i | −0.212274 | + | 0.244977i | ||||
\(962\) | 22.4020 | − | 6.57782i | 0.722270 | − | 0.212077i | ||||
\(963\) | −7.06257 | + | 15.4649i | −0.227588 | + | 0.498348i | ||||
\(964\) | −2.38640 | − | 16.5978i | −0.0768608 | − | 0.534579i | ||||
\(965\) | −0.829400 | −0.0266993 | ||||||||
\(966\) | 2.48895 | + | 4.09941i | 0.0800806 | + | 0.131896i | ||||
\(967\) | 11.5573 | 0.371656 | 0.185828 | − | 0.982582i | \(-0.440503\pi\) | ||||
0.185828 | + | 0.982582i | \(0.440503\pi\) | |||||||
\(968\) | 1.52750 | + | 10.6240i | 0.0490956 | + | 0.341467i | ||||
\(969\) | 1.47433 | − | 3.22833i | 0.0473622 | − | 0.103709i | ||||
\(970\) | −0.383410 | + | 0.112579i | −0.0123105 | + | 0.00361470i | ||||
\(971\) | −33.4669 | + | 38.6229i | −1.07400 | + | 1.23947i | −0.104466 | + | 0.994528i | \(0.533313\pi\) |
−0.969539 | + | 0.244939i | \(0.921232\pi\) | |||||||
\(972\) | 0.959493 | + | 0.281733i | 0.0307758 | + | 0.00903658i | ||||
\(973\) | −3.96476 | + | 2.54800i | −0.127104 | + | 0.0816850i | ||||
\(974\) | 16.2093 | + | 35.4935i | 0.519381 | + | 1.13729i | ||||
\(975\) | 11.3145 | + | 13.0576i | 0.362354 | + | 0.418179i | ||||
\(976\) | −10.7430 | − | 6.90409i | −0.343874 | − | 0.220995i | ||||
\(977\) | 4.54073 | − | 31.5815i | 0.145271 | − | 1.01038i | −0.778558 | − | 0.627573i | \(-0.784048\pi\) |
0.923828 | − | 0.382807i | \(-0.125043\pi\) | |||||||
\(978\) | 2.11080 | − | 14.6809i | 0.0674959 | − | 0.469444i | ||||
\(979\) | 6.63179 | + | 4.26199i | 0.211953 | + | 0.136214i | ||||
\(980\) | 0.0335087 | + | 0.0386712i | 0.00107040 | + | 0.00123530i | ||||
\(981\) | 3.42027 | + | 7.48934i | 0.109201 | + | 0.239116i | ||||
\(982\) | −34.5276 | + | 22.1895i | −1.10182 | + | 0.708096i | ||||
\(983\) | −6.26500 | − | 1.83957i | −0.199822 | − | 0.0586732i | 0.180290 | − | 0.983614i | \(-0.442296\pi\) |
−0.380112 | + | 0.924940i | \(0.624115\pi\) | |||||||
\(984\) | −0.924107 | + | 1.06648i | −0.0294595 | + | 0.0339980i | ||||
\(985\) | 0.733802 | − | 0.215464i | 0.0233809 | − | 0.00686524i | ||||
\(986\) | −7.48352 | + | 16.3866i | −0.238324 | + | 0.521856i | ||||
\(987\) | 0.867812 | + | 6.03576i | 0.0276227 | + | 0.192120i | ||||
\(988\) | −4.60294 | −0.146439 | ||||||||
\(989\) | −58.2458 | − | 9.89871i | −1.85211 | − | 0.314761i | ||||
\(990\) | 0.0264298 | 0.000839994 | ||||||||
\(991\) | 6.91742 | + | 48.1117i | 0.219739 | + | 1.52832i | 0.739002 | + | 0.673703i | \(0.235297\pi\) |
−0.519263 | + | 0.854615i | \(0.673793\pi\) | |||||||
\(992\) | −2.66153 | + | 5.82794i | −0.0845038 | + | 0.185037i | ||||
\(993\) | −31.7789 | + | 9.33112i | −1.00847 | + | 0.296114i | ||||
\(994\) | 1.64629 | − | 1.89992i | 0.0522172 | − | 0.0602619i | ||||
\(995\) | 0.0910740 | + | 0.0267418i | 0.00288724 | + | 0.000847771i | ||||
\(996\) | 6.99175 | − | 4.49333i | 0.221542 | − | 0.142376i | ||||
\(997\) | −14.6883 | − | 32.1630i | −0.465185 | − | 1.01861i | −0.986275 | − | 0.165111i | \(-0.947202\pi\) |
0.521090 | − | 0.853502i | \(-0.325525\pi\) | |||||||
\(998\) | −10.5655 | − | 12.1932i | −0.334445 | − | 0.385970i | ||||
\(999\) | −5.68104 | − | 3.65098i | −0.179740 | − | 0.115512i |
(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 | 966.2.q.j.463.3 | yes | 40 | |
23.8 | even | 11 | inner | 966.2.q.j.169.3 | ✓ | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.q.j.169.3 | ✓ | 40 | 23.8 | even | 11 | inner | |
966.2.q.j.463.3 | yes | 40 | 1.1 | even | 1 | trivial |