Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(25,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.w (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.11 | ||
Character | \(\chi\) | \(=\) | 378.25 |
Dual form | 378.2.w.a.121.11 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | 1.65621 | − | 0.506908i | 0.956215 | − | 0.292664i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 0.501605 | + | 0.182569i | 0.224325 | + | 0.0816475i | 0.451737 | − | 0.892151i | \(-0.350804\pi\) |
−0.227413 | + | 0.973798i | \(0.573027\pi\) | |||||||
\(6\) | −1.38296 | + | 1.04280i | −0.564591 | + | 0.425720i | ||||
\(7\) | −1.88202 | + | 1.85957i | −0.711337 | + | 0.702851i | ||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 2.48609 | − | 1.67910i | 0.828696 | − | 0.559699i | ||||
\(10\) | −0.533797 | −0.168801 | ||||||||
\(11\) | 3.49876 | − | 1.27344i | 1.05492 | − | 0.383958i | 0.244400 | − | 0.969675i | \(-0.421409\pi\) |
0.810516 | + | 0.585717i | \(0.199187\pi\) | |||||||
\(12\) | 0.942899 | − | 1.45291i | 0.272191 | − | 0.419418i | ||||
\(13\) | 1.06859 | + | 6.06025i | 0.296372 | + | 1.68081i | 0.661572 | + | 0.749882i | \(0.269890\pi\) |
−0.365199 | + | 0.930929i | \(0.618999\pi\) | |||||||
\(14\) | 1.13251 | − | 2.39111i | 0.302677 | − | 0.639052i | ||||
\(15\) | 0.923311 | + | 0.0481060i | 0.238398 | + | 0.0124209i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 2.18425 | 0.529759 | 0.264880 | − | 0.964281i | \(-0.414668\pi\) | ||||
0.264880 | + | 0.964281i | \(0.414668\pi\) | |||||||
\(18\) | −1.76187 | + | 2.42813i | −0.415278 | + | 0.572315i | ||||
\(19\) | 2.71876 | 0.623727 | 0.311863 | − | 0.950127i | \(-0.399047\pi\) | ||||
0.311863 | + | 0.950127i | \(0.399047\pi\) | |||||||
\(20\) | 0.501605 | − | 0.182569i | 0.112162 | − | 0.0408237i | ||||
\(21\) | −2.17440 | + | 4.03386i | −0.474493 | + | 0.880259i | ||||
\(22\) | −2.85221 | + | 2.39329i | −0.608094 | + | 0.510252i | ||||
\(23\) | −0.309811 | − | 1.75702i | −0.0646000 | − | 0.366365i | −0.999921 | − | 0.0125648i | \(-0.996000\pi\) |
0.935321 | − | 0.353800i | \(-0.115111\pi\) | |||||||
\(24\) | −0.389111 | + | 1.68778i | −0.0794270 | + | 0.344516i | ||||
\(25\) | −3.61195 | − | 3.03078i | −0.722389 | − | 0.606157i | ||||
\(26\) | −3.07687 | − | 5.32930i | −0.603424 | − | 1.04516i | ||||
\(27\) | 3.26635 | − | 4.04116i | 0.628608 | − | 0.777722i | ||||
\(28\) | −0.246405 | + | 2.63425i | −0.0465661 | + | 0.497827i | ||||
\(29\) | 1.83629 | − | 10.4141i | 0.340991 | − | 1.93386i | −0.0163112 | − | 0.999867i | \(-0.505192\pi\) |
0.357302 | − | 0.933989i | \(-0.383697\pi\) | |||||||
\(30\) | −0.884082 | + | 0.270586i | −0.161410 | + | 0.0494020i | ||||
\(31\) | 1.18040 | − | 0.990471i | 0.212006 | − | 0.177894i | −0.530601 | − | 0.847622i | \(-0.678034\pi\) |
0.742607 | + | 0.669728i | \(0.233589\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | 5.14917 | − | 3.88265i | 0.896356 | − | 0.675882i | ||||
\(34\) | −2.05253 | + | 0.747059i | −0.352005 | + | 0.128119i | ||||
\(35\) | −1.28353 | + | 0.589169i | −0.216956 | + | 0.0995878i | ||||
\(36\) | 0.825151 | − | 2.88429i | 0.137525 | − | 0.480715i | ||||
\(37\) | −5.19917 | + | 9.00522i | −0.854738 | + | 1.48045i | 0.0221508 | + | 0.999755i | \(0.492949\pi\) |
−0.876888 | + | 0.480694i | \(0.840385\pi\) | |||||||
\(38\) | −2.55480 | + | 0.929871i | −0.414443 | + | 0.150845i | ||||
\(39\) | 4.84180 | + | 9.49540i | 0.775308 | + | 1.52048i | ||||
\(40\) | −0.408912 | + | 0.343118i | −0.0646547 | + | 0.0542517i | ||||
\(41\) | 1.45917 | + | 8.27535i | 0.227884 | + | 1.29239i | 0.857095 | + | 0.515158i | \(0.172267\pi\) |
−0.629212 | + | 0.777234i | \(0.716622\pi\) | |||||||
\(42\) | 0.663608 | − | 4.53427i | 0.102397 | − | 0.699653i | ||||
\(43\) | 4.99996 | + | 4.19547i | 0.762487 | + | 0.639803i | 0.938773 | − | 0.344536i | \(-0.111964\pi\) |
−0.176286 | + | 0.984339i | \(0.556408\pi\) | |||||||
\(44\) | 1.86165 | − | 3.22447i | 0.280654 | − | 0.486108i | ||||
\(45\) | 1.55359 | − | 0.388360i | 0.231595 | − | 0.0578933i | ||||
\(46\) | 0.892065 | + | 1.54510i | 0.131528 | + | 0.227813i | ||||
\(47\) | −8.02588 | − | 6.73451i | −1.17069 | − | 0.982330i | −0.170699 | − | 0.985323i | \(-0.554603\pi\) |
−0.999996 | + | 0.00299355i | \(0.999047\pi\) | |||||||
\(48\) | −0.211609 | − | 1.71908i | −0.0305431 | − | 0.248127i | ||||
\(49\) | 0.0840109 | − | 6.99950i | 0.0120016 | − | 0.999928i | ||||
\(50\) | 4.43071 | + | 1.61265i | 0.626597 | + | 0.228063i | ||||
\(51\) | 3.61759 | − | 1.10722i | 0.506564 | − | 0.155041i | ||||
\(52\) | 4.71404 | + | 3.95555i | 0.653720 | + | 0.548536i | ||||
\(53\) | −3.95402 | + | 6.84856i | −0.543126 | + | 0.940722i | 0.455596 | + | 0.890187i | \(0.349426\pi\) |
−0.998722 | + | 0.0505354i | \(0.983907\pi\) | |||||||
\(54\) | −1.68720 | + | 4.91461i | −0.229599 | + | 0.668793i | ||||
\(55\) | 1.98749 | 0.267993 | ||||||||
\(56\) | −0.669423 | − | 2.55966i | −0.0894554 | − | 0.342049i | ||||
\(57\) | 4.50285 | − | 1.37816i | 0.596417 | − | 0.182542i | ||||
\(58\) | 1.83629 | + | 10.4141i | 0.241117 | + | 1.36744i | ||||
\(59\) | 0.492061 | + | 2.79062i | 0.0640609 | + | 0.363307i | 0.999940 | + | 0.0109852i | \(0.00349677\pi\) |
−0.935879 | + | 0.352322i | \(0.885392\pi\) | |||||||
\(60\) | 0.738219 | − | 0.556641i | 0.0953037 | − | 0.0718621i | ||||
\(61\) | −4.53366 | − | 3.80420i | −0.580476 | − | 0.487077i | 0.304627 | − | 0.952472i | \(-0.401468\pi\) |
−0.885103 | + | 0.465394i | \(0.845913\pi\) | |||||||
\(62\) | −0.770450 | + | 1.33446i | −0.0978472 | + | 0.169476i | ||||
\(63\) | −1.55648 | + | 7.78315i | −0.196098 | + | 0.980584i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −0.570408 | + | 3.23494i | −0.0707504 | + | 0.401245i | ||||
\(66\) | −3.51070 | + | 5.40961i | −0.432137 | + | 0.665878i | ||||
\(67\) | 3.54979 | + | 1.29202i | 0.433676 | + | 0.157845i | 0.549628 | − | 0.835410i | \(-0.314770\pi\) |
−0.115952 | + | 0.993255i | \(0.536992\pi\) | |||||||
\(68\) | 1.67324 | − | 1.40401i | 0.202910 | − | 0.170261i | ||||
\(69\) | −1.40376 | − | 2.75296i | −0.168993 | − | 0.331418i | ||||
\(70\) | 1.00462 | − | 0.992632i | 0.120075 | − | 0.118642i | ||||
\(71\) | −4.58179 | − | 7.93590i | −0.543759 | − | 0.941818i | −0.998684 | − | 0.0512884i | \(-0.983667\pi\) |
0.454925 | − | 0.890530i | \(-0.349666\pi\) | |||||||
\(72\) | 0.211097 | + | 2.99256i | 0.0248780 | + | 0.352677i | ||||
\(73\) | −3.80191 | − | 6.58510i | −0.444980 | − | 0.770727i | 0.553071 | − | 0.833134i | \(-0.313456\pi\) |
−0.998051 | + | 0.0624067i | \(0.980122\pi\) | |||||||
\(74\) | 1.80565 | − | 10.2404i | 0.209903 | − | 1.19042i | ||||
\(75\) | −7.51848 | − | 3.18870i | −0.868160 | − | 0.368199i | ||||
\(76\) | 2.08269 | − | 1.74759i | 0.238901 | − | 0.200462i | ||||
\(77\) | −4.21668 | + | 8.90283i | −0.480536 | + | 1.01457i | ||||
\(78\) | −7.79742 | − | 7.26676i | −0.882884 | − | 0.822799i | ||||
\(79\) | −13.9134 | + | 5.06405i | −1.56538 | + | 0.569750i | −0.971960 | − | 0.235147i | \(-0.924443\pi\) |
−0.593415 | + | 0.804897i | \(0.702221\pi\) | |||||||
\(80\) | 0.266898 | − | 0.462282i | 0.0298401 | − | 0.0516847i | ||||
\(81\) | 3.36127 | − | 8.34877i | 0.373474 | − | 0.927641i | ||||
\(82\) | −4.20150 | − | 7.27722i | −0.463978 | − | 0.803634i | ||||
\(83\) | 0.348371 | − | 1.97571i | 0.0382386 | − | 0.216862i | −0.959701 | − | 0.281023i | \(-0.909326\pi\) |
0.997940 | + | 0.0641614i | \(0.0204372\pi\) | |||||||
\(84\) | 0.927225 | + | 4.48779i | 0.101169 | + | 0.489658i | ||||
\(85\) | 1.09563 | + | 0.398777i | 0.118838 | + | 0.0432535i | ||||
\(86\) | −6.13336 | − | 2.23236i | −0.661377 | − | 0.240722i | ||||
\(87\) | −2.23772 | − | 18.1789i | −0.239908 | − | 1.94898i | ||||
\(88\) | −0.646545 | + | 3.66674i | −0.0689219 | + | 0.390875i | ||||
\(89\) | 3.83829 | 0.406858 | 0.203429 | − | 0.979090i | \(-0.434791\pi\) | ||||
0.203429 | + | 0.979090i | \(0.434791\pi\) | |||||||
\(90\) | −1.32707 | + | 0.896297i | −0.139885 | + | 0.0944779i | ||||
\(91\) | −13.2806 | − | 9.41842i | −1.39218 | − | 0.987318i | ||||
\(92\) | −1.36672 | − | 1.14682i | −0.142491 | − | 0.119564i | ||||
\(93\) | 1.45291 | − | 2.23879i | 0.150660 | − | 0.232151i | ||||
\(94\) | 9.84520 | + | 3.58336i | 1.01545 | + | 0.369595i | ||||
\(95\) | 1.36374 | + | 0.496362i | 0.139917 | + | 0.0509257i | ||||
\(96\) | 0.786806 | + | 1.54303i | 0.0803030 | + | 0.157485i | ||||
\(97\) | −5.72248 | − | 4.80173i | −0.581030 | − | 0.487542i | 0.304255 | − | 0.952591i | \(-0.401592\pi\) |
−0.885285 | + | 0.465049i | \(0.846037\pi\) | |||||||
\(98\) | 2.31502 | + | 6.60611i | 0.233853 | + | 0.667318i | ||||
\(99\) | 6.55999 | − | 9.04065i | 0.659303 | − | 0.908619i | ||||
\(100\) | −4.71506 | −0.471506 | ||||||||
\(101\) | −0.302535 | + | 1.71576i | −0.0301033 | + | 0.170725i | −0.996153 | − | 0.0876323i | \(-0.972070\pi\) |
0.966050 | + | 0.258357i | \(0.0831810\pi\) | |||||||
\(102\) | −3.02073 | + | 2.27773i | −0.299097 | + | 0.225529i | ||||
\(103\) | 2.95448 | + | 1.07534i | 0.291114 | + | 0.105957i | 0.483449 | − | 0.875373i | \(-0.339384\pi\) |
−0.192335 | + | 0.981329i | \(0.561606\pi\) | |||||||
\(104\) | −5.78263 | − | 2.10470i | −0.567033 | − | 0.206383i | ||||
\(105\) | −1.82715 | + | 1.62642i | −0.178311 | + | 0.158723i | ||||
\(106\) | 1.37322 | − | 7.78789i | 0.133379 | − | 0.756427i | ||||
\(107\) | −6.59506 | − | 11.4230i | −0.637569 | − | 1.10430i | −0.985965 | − | 0.166954i | \(-0.946607\pi\) |
0.348396 | − | 0.937347i | \(-0.386726\pi\) | |||||||
\(108\) | −0.0954433 | − | 5.19528i | −0.00918403 | − | 0.499916i | ||||
\(109\) | −7.15909 | + | 12.3999i | −0.685716 | + | 1.18769i | 0.287495 | + | 0.957782i | \(0.407177\pi\) |
−0.973211 | + | 0.229913i | \(0.926156\pi\) | |||||||
\(110\) | −1.86763 | + | 0.679760i | −0.178071 | + | 0.0648126i | ||||
\(111\) | −4.04611 | + | 17.5501i | −0.384040 | + | 1.66578i | ||||
\(112\) | 1.50451 | + | 2.17634i | 0.142163 | + | 0.205645i | ||||
\(113\) | −10.5821 | + | 8.87944i | −0.995481 | + | 0.835308i | −0.986352 | − | 0.164651i | \(-0.947350\pi\) |
−0.00912887 | + | 0.999958i | \(0.502906\pi\) | |||||||
\(114\) | −3.75994 | + | 2.83511i | −0.352150 | + | 0.265533i | ||||
\(115\) | 0.165376 | − | 0.937894i | 0.0154214 | − | 0.0874591i | ||||
\(116\) | −5.28739 | − | 9.15803i | −0.490922 | − | 0.850302i | ||||
\(117\) | 12.8323 | + | 13.2721i | 1.18635 | + | 1.22700i | ||||
\(118\) | −1.41683 | − | 2.45403i | −0.130430 | − | 0.225912i | ||||
\(119\) | −4.11081 | + | 4.06177i | −0.376838 | + | 0.372342i | ||||
\(120\) | −0.503316 | + | 0.775558i | −0.0459463 | + | 0.0707984i | ||||
\(121\) | 2.19317 | − | 1.84028i | 0.199379 | − | 0.167299i | ||||
\(122\) | 5.56136 | + | 2.02417i | 0.503502 | + | 0.183260i | ||||
\(123\) | 6.61153 | + | 12.9661i | 0.596142 | + | 1.16911i | ||||
\(124\) | 0.267574 | − | 1.51749i | 0.0240289 | − | 0.136275i | ||||
\(125\) | −2.59293 | − | 4.49109i | −0.231919 | − | 0.401696i | ||||
\(126\) | −1.19938 | − | 7.84611i | −0.106850 | − | 0.698987i | ||||
\(127\) | 10.2055 | − | 17.6765i | 0.905592 | − | 1.56853i | 0.0854719 | − | 0.996341i | \(-0.472760\pi\) |
0.820120 | − | 0.572191i | \(-0.193906\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | 10.4077 | + | 4.41407i | 0.916349 | + | 0.388637i | ||||
\(130\) | −0.570408 | − | 3.23494i | −0.0500281 | − | 0.283723i | ||||
\(131\) | −0.652134 | − | 3.69844i | −0.0569773 | − | 0.323134i | 0.942975 | − | 0.332862i | \(-0.108014\pi\) |
−0.999953 | + | 0.00972830i | \(0.996903\pi\) | |||||||
\(132\) | 1.44878 | − | 6.28410i | 0.126100 | − | 0.546961i | ||||
\(133\) | −5.11677 | + | 5.05572i | −0.443680 | + | 0.438387i | ||||
\(134\) | −3.77761 | −0.326336 | ||||||||
\(135\) | 2.37621 | − | 1.43073i | 0.204511 | − | 0.123138i | ||||
\(136\) | −1.09213 | + | 1.89162i | −0.0936491 | + | 0.162205i | ||||
\(137\) | −3.25751 | − | 2.73338i | −0.278308 | − | 0.233528i | 0.492939 | − | 0.870064i | \(-0.335922\pi\) |
−0.771247 | + | 0.636535i | \(0.780367\pi\) | |||||||
\(138\) | 2.26067 | + | 2.10682i | 0.192441 | + | 0.179345i | ||||
\(139\) | 2.40909 | + | 0.876837i | 0.204336 | + | 0.0743723i | 0.442161 | − | 0.896936i | \(-0.354212\pi\) |
−0.237824 | + | 0.971308i | \(0.576434\pi\) | |||||||
\(140\) | −0.604531 | + | 1.27637i | −0.0510922 | + | 0.107873i | ||||
\(141\) | −16.7064 | − | 7.08541i | −1.40693 | − | 0.596699i | ||||
\(142\) | 7.01972 | + | 5.89024i | 0.589082 | + | 0.494298i | ||||
\(143\) | 11.4561 | + | 19.8426i | 0.958009 | + | 1.65932i | ||||
\(144\) | −1.22188 | − | 2.73989i | −0.101824 | − | 0.228324i | ||||
\(145\) | 2.82239 | − | 4.88853i | 0.234387 | − | 0.405970i | ||||
\(146\) | 5.82486 | + | 4.88764i | 0.482069 | + | 0.404504i | ||||
\(147\) | −3.40896 | − | 11.6352i | −0.281166 | − | 0.959659i | ||||
\(148\) | 1.80565 | + | 10.2404i | 0.148424 | + | 0.841752i | ||||
\(149\) | −8.48248 | + | 7.11765i | −0.694912 | + | 0.583100i | −0.920321 | − | 0.391164i | \(-0.872073\pi\) |
0.225409 | + | 0.974264i | \(0.427628\pi\) | |||||||
\(150\) | 8.15566 | + | 0.424924i | 0.665907 | + | 0.0346949i | ||||
\(151\) | 1.36470 | − | 0.496710i | 0.111058 | − | 0.0404217i | −0.285894 | − | 0.958261i | \(-0.592290\pi\) |
0.396951 | + | 0.917840i | \(0.370068\pi\) | |||||||
\(152\) | −1.35938 | + | 2.35452i | −0.110260 | + | 0.190977i | ||||
\(153\) | 5.43025 | − | 3.66757i | 0.439009 | − | 0.296506i | ||||
\(154\) | 0.917439 | − | 9.80812i | 0.0739293 | − | 0.790360i | ||||
\(155\) | 0.772923 | − | 0.281321i | 0.0620826 | − | 0.0225962i | ||||
\(156\) | 9.81256 | + | 4.16165i | 0.785633 | + | 0.333199i | ||||
\(157\) | −2.17087 | − | 12.3116i | −0.173255 | − | 0.982576i | −0.940139 | − | 0.340791i | \(-0.889305\pi\) |
0.766884 | − | 0.641785i | \(-0.221806\pi\) | |||||||
\(158\) | 11.3423 | − | 9.51730i | 0.902343 | − | 0.757156i | ||||
\(159\) | −3.07711 | + | 13.3470i | −0.244030 | + | 1.05849i | ||||
\(160\) | −0.0926928 | + | 0.525687i | −0.00732801 | + | 0.0415592i | ||||
\(161\) | 3.85038 | + | 2.73064i | 0.303452 | + | 0.215205i | ||||
\(162\) | −0.303112 | + | 8.99489i | −0.0238147 | + | 0.706706i | ||||
\(163\) | −0.994136 | − | 1.72189i | −0.0778668 | − | 0.134869i | 0.824463 | − | 0.565916i | \(-0.191478\pi\) |
−0.902329 | + | 0.431047i | \(0.858144\pi\) | |||||||
\(164\) | 6.43708 | + | 5.40135i | 0.502651 | + | 0.421774i | ||||
\(165\) | 3.29170 | − | 1.00747i | 0.256259 | − | 0.0784317i | ||||
\(166\) | 0.348371 | + | 1.97571i | 0.0270388 | + | 0.153345i | ||||
\(167\) | 12.6179 | − | 10.5876i | 0.976400 | − | 0.819297i | −0.00714251 | − | 0.999974i | \(-0.502274\pi\) |
0.983542 | + | 0.180678i | \(0.0578291\pi\) | |||||||
\(168\) | −2.40622 | − | 3.90001i | −0.185644 | − | 0.300893i | ||||
\(169\) | −23.3688 | + | 8.50554i | −1.79760 | + | 0.654272i | ||||
\(170\) | −1.16595 | −0.0894241 | ||||||||
\(171\) | 6.75908 | − | 4.56506i | 0.516880 | − | 0.349099i | ||||
\(172\) | 6.52699 | 0.497678 | ||||||||
\(173\) | −1.40691 | + | 7.97900i | −0.106966 | + | 0.606632i | 0.883451 | + | 0.468523i | \(0.155214\pi\) |
−0.990417 | + | 0.138109i | \(0.955897\pi\) | |||||||
\(174\) | 8.32030 | + | 16.3172i | 0.630761 | + | 1.23700i | ||||
\(175\) | 12.4337 | − | 1.01266i | 0.939900 | − | 0.0765501i | ||||
\(176\) | −0.646545 | − | 3.66674i | −0.0487351 | − | 0.276391i | ||||
\(177\) | 2.22955 | + | 4.37243i | 0.167583 | + | 0.328652i | ||||
\(178\) | −3.60681 | + | 1.31277i | −0.270342 | + | 0.0983964i | ||||
\(179\) | −4.53898 | −0.339259 | −0.169630 | − | 0.985508i | \(-0.554257\pi\) | ||||
−0.169630 | + | 0.985508i | \(0.554257\pi\) | |||||||
\(180\) | 0.940482 | − | 1.29613i | 0.0700994 | − | 0.0966076i | ||||
\(181\) | 2.05546 | − | 3.56016i | 0.152781 | − | 0.264625i | −0.779468 | − | 0.626442i | \(-0.784510\pi\) |
0.932249 | + | 0.361818i | \(0.117844\pi\) | |||||||
\(182\) | 15.7009 | + | 4.30820i | 1.16383 | + | 0.319345i | ||||
\(183\) | −9.43710 | − | 4.00241i | −0.697610 | − | 0.295867i | ||||
\(184\) | 1.67653 | + | 0.610208i | 0.123596 | + | 0.0449851i | ||||
\(185\) | −4.25200 | + | 3.56785i | −0.312613 | + | 0.262314i | ||||
\(186\) | −0.599582 | + | 2.60070i | −0.0439635 | + | 0.190692i | ||||
\(187\) | 7.64218 | − | 2.78152i | 0.558851 | − | 0.203405i | ||||
\(188\) | −10.4770 | −0.764117 | ||||||||
\(189\) | 1.36748 | + | 13.6795i | 0.0994699 | + | 0.995041i | ||||
\(190\) | −1.45127 | −0.105286 | ||||||||
\(191\) | 13.8897 | − | 5.05545i | 1.00503 | − | 0.365800i | 0.213505 | − | 0.976942i | \(-0.431512\pi\) |
0.791521 | + | 0.611142i | \(0.209290\pi\) | |||||||
\(192\) | −1.26710 | − | 1.18087i | −0.0914452 | − | 0.0852219i | ||||
\(193\) | −3.89310 | + | 3.26670i | −0.280232 | + | 0.235142i | −0.772060 | − | 0.635550i | \(-0.780773\pi\) |
0.491828 | + | 0.870692i | \(0.336329\pi\) | |||||||
\(194\) | 7.01966 | + | 2.55495i | 0.503982 | + | 0.183435i | ||||
\(195\) | 0.695102 | + | 5.64690i | 0.0497773 | + | 0.404383i | ||||
\(196\) | −4.43483 | − | 5.41593i | −0.316774 | − | 0.386852i | ||||
\(197\) | 1.89075 | − | 3.27487i | 0.134710 | − | 0.233325i | −0.790776 | − | 0.612105i | \(-0.790323\pi\) |
0.925487 | + | 0.378780i | \(0.123656\pi\) | |||||||
\(198\) | −3.07229 | + | 10.7391i | −0.218338 | + | 0.763193i | ||||
\(199\) | 21.0474 | 1.49201 | 0.746005 | − | 0.665940i | \(-0.231969\pi\) | ||||
0.746005 | + | 0.665940i | \(0.231969\pi\) | |||||||
\(200\) | 4.43071 | − | 1.61265i | 0.313298 | − | 0.114031i | ||||
\(201\) | 6.53415 | + | 0.340440i | 0.460883 | + | 0.0240128i | ||||
\(202\) | −0.302535 | − | 1.71576i | −0.0212863 | − | 0.120720i | ||||
\(203\) | 15.9098 | + | 23.0143i | 1.11665 | + | 1.61529i | ||||
\(204\) | 2.05953 | − | 3.17352i | 0.144196 | − | 0.222191i | ||||
\(205\) | −0.778899 | + | 4.41735i | −0.0544006 | + | 0.308521i | ||||
\(206\) | −3.14410 | −0.219060 | ||||||||
\(207\) | −3.72043 | − | 3.84792i | −0.258588 | − | 0.267449i | ||||
\(208\) | 6.15374 | 0.426685 | ||||||||
\(209\) | 9.51229 | − | 3.46219i | 0.657979 | − | 0.239485i | ||||
\(210\) | 1.16069 | − | 2.15326i | 0.0800950 | − | 0.148589i | ||||
\(211\) | −0.403942 | + | 0.338947i | −0.0278085 | + | 0.0233341i | −0.656586 | − | 0.754251i | \(-0.728000\pi\) |
0.628777 | + | 0.777585i | \(0.283556\pi\) | |||||||
\(212\) | 1.37322 | + | 7.78789i | 0.0943128 | + | 0.534875i | ||||
\(213\) | −11.6112 | − | 10.8210i | −0.795587 | − | 0.741443i | ||||
\(214\) | 10.1042 | + | 8.47845i | 0.690710 | + | 0.579575i | ||||
\(215\) | 1.74204 | + | 3.01731i | 0.118806 | + | 0.205779i | ||||
\(216\) | 1.86658 | + | 4.84932i | 0.127004 | + | 0.329954i | ||||
\(217\) | −0.379685 | + | 4.05912i | −0.0257747 | + | 0.275551i | ||||
\(218\) | 2.48632 | − | 14.1006i | 0.168395 | − | 0.955016i | ||||
\(219\) | −9.63481 | − | 8.97911i | −0.651060 | − | 0.606752i | ||||
\(220\) | 1.52250 | − | 1.27753i | 0.102647 | − | 0.0861312i | ||||
\(221\) | 2.33406 | + | 13.2371i | 0.157006 | + | 0.890425i | ||||
\(222\) | −2.20038 | − | 17.8755i | −0.147680 | − | 1.19973i | ||||
\(223\) | 5.24765 | − | 1.90999i | 0.351408 | − | 0.127902i | −0.160284 | − | 0.987071i | \(-0.551241\pi\) |
0.511692 | + | 0.859169i | \(0.329019\pi\) | |||||||
\(224\) | −2.15813 | − | 1.53052i | −0.144196 | − | 0.102262i | ||||
\(225\) | −14.0686 | − | 1.46999i | −0.937906 | − | 0.0979990i | ||||
\(226\) | 6.90698 | − | 11.9632i | 0.459445 | − | 0.795783i | ||||
\(227\) | 0.0901182 | − | 0.0328003i | 0.00598135 | − | 0.00217703i | −0.339028 | − | 0.940776i | \(-0.610098\pi\) |
0.345009 | + | 0.938599i | \(0.387876\pi\) | |||||||
\(228\) | 2.56352 | − | 3.95011i | 0.169773 | − | 0.261602i | ||||
\(229\) | 13.6734 | − | 11.4733i | 0.903563 | − | 0.758179i | −0.0673209 | − | 0.997731i | \(-0.521445\pi\) |
0.970883 | + | 0.239552i | \(0.0770007\pi\) | |||||||
\(230\) | 0.165376 | + | 0.937894i | 0.0109046 | + | 0.0618429i | ||||
\(231\) | −2.47081 | + | 16.8825i | −0.162567 | + | 1.11078i | ||||
\(232\) | 8.10076 | + | 6.79734i | 0.531841 | + | 0.446267i | ||||
\(233\) | 1.13445 | − | 1.96492i | 0.0743200 | − | 0.128726i | −0.826470 | − | 0.562980i | \(-0.809655\pi\) |
0.900790 | + | 0.434254i | \(0.142988\pi\) | |||||||
\(234\) | −16.5978 | − | 8.08274i | −1.08503 | − | 0.528385i | ||||
\(235\) | −2.79631 | − | 4.84334i | −0.182411 | − | 0.315945i | ||||
\(236\) | 2.17071 | + | 1.82145i | 0.141302 | + | 0.118566i | ||||
\(237\) | −20.4765 | + | 15.4399i | −1.33009 | + | 1.00293i | ||||
\(238\) | 2.47369 | − | 5.22279i | 0.160346 | − | 0.338543i | ||||
\(239\) | 15.4607 | + | 5.62725i | 1.00007 | + | 0.363997i | 0.789612 | − | 0.613606i | \(-0.210282\pi\) |
0.210460 | + | 0.977602i | \(0.432504\pi\) | |||||||
\(240\) | 0.207706 | − | 0.900930i | 0.0134074 | − | 0.0581548i | ||||
\(241\) | 13.7441 | + | 11.5327i | 0.885337 | + | 0.742886i | 0.967269 | − | 0.253752i | \(-0.0816648\pi\) |
−0.0819326 | + | 0.996638i | \(0.526109\pi\) | |||||||
\(242\) | −1.43149 | + | 2.47941i | −0.0920195 | + | 0.159382i | ||||
\(243\) | 1.33492 | − | 15.5312i | 0.0856351 | − | 0.996327i | ||||
\(244\) | −5.91828 | −0.378879 | ||||||||
\(245\) | 1.32003 | − | 3.49564i | 0.0843338 | − | 0.223328i | ||||
\(246\) | −10.6475 | − | 9.92285i | −0.678858 | − | 0.632658i | ||||
\(247\) | 2.90523 | + | 16.4764i | 0.184855 | + | 1.04837i | ||||
\(248\) | 0.267574 | + | 1.51749i | 0.0169910 | + | 0.0963607i | ||||
\(249\) | −0.424526 | − | 3.44879i | −0.0269033 | − | 0.218558i | ||||
\(250\) | 3.97261 | + | 3.33341i | 0.251250 | + | 0.210823i | ||||
\(251\) | 0.0690199 | − | 0.119546i | 0.00435650 | − | 0.00754568i | −0.863839 | − | 0.503768i | \(-0.831947\pi\) |
0.868195 | + | 0.496222i | \(0.165280\pi\) | |||||||
\(252\) | 3.81058 | + | 6.96272i | 0.240044 | + | 0.438610i | ||||
\(253\) | −3.32143 | − | 5.75288i | −0.208816 | − | 0.361680i | ||||
\(254\) | −3.54433 | + | 20.1009i | −0.222391 | + | 1.26124i | ||||
\(255\) | 2.01674 | + | 0.105076i | 0.126293 | + | 0.00658010i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −15.6146 | + | 13.1022i | −0.974014 | + | 0.817295i | −0.983176 | − | 0.182663i | \(-0.941528\pi\) |
0.00916174 | + | 0.999958i | \(0.497084\pi\) | |||||||
\(258\) | −11.2898 | − | 0.588215i | −0.702870 | − | 0.0366207i | ||||
\(259\) | −6.96088 | − | 26.6162i | −0.432528 | − | 1.65385i | ||||
\(260\) | 1.64242 | + | 2.84476i | 0.101859 | + | 0.176425i | ||||
\(261\) | −12.9212 | − | 28.9738i | −0.799799 | − | 1.79343i | ||||
\(262\) | 1.87775 | + | 3.25235i | 0.116008 | + | 0.200931i | ||||
\(263\) | 2.68773 | − | 15.2429i | 0.165733 | − | 0.939916i | −0.782573 | − | 0.622559i | \(-0.786093\pi\) |
0.948306 | − | 0.317358i | \(-0.102796\pi\) | |||||||
\(264\) | 0.787883 | + | 6.40064i | 0.0484908 | + | 0.393932i | ||||
\(265\) | −3.23369 | + | 2.71339i | −0.198644 | + | 0.166682i | ||||
\(266\) | 3.07903 | − | 6.50086i | 0.188787 | − | 0.398593i | ||||
\(267\) | 6.35702 | − | 1.94566i | 0.389044 | − | 0.119072i | ||||
\(268\) | 3.54979 | − | 1.29202i | 0.216838 | − | 0.0789226i | ||||
\(269\) | −13.6222 | + | 23.5944i | −0.830562 | + | 1.43858i | 0.0670304 | + | 0.997751i | \(0.478648\pi\) |
−0.897593 | + | 0.440825i | \(0.854686\pi\) | |||||||
\(270\) | −1.74356 | + | 2.15716i | −0.106110 | + | 0.131281i | ||||
\(271\) | 3.21867 | + | 5.57491i | 0.195521 | + | 0.338651i | 0.947071 | − | 0.321024i | \(-0.104027\pi\) |
−0.751551 | + | 0.659676i | \(0.770694\pi\) | |||||||
\(272\) | 0.379292 | − | 2.15107i | 0.0229979 | − | 0.130428i | ||||
\(273\) | −26.7697 | − | 8.86689i | −1.62018 | − | 0.536649i | ||||
\(274\) | 3.99593 | + | 1.45440i | 0.241403 | + | 0.0878635i | ||||
\(275\) | −16.4969 | − | 6.00437i | −0.994798 | − | 0.362077i | ||||
\(276\) | −2.84492 | − | 1.20657i | −0.171244 | − | 0.0726270i | ||||
\(277\) | 0.0868347 | − | 0.492464i | 0.00521739 | − | 0.0295893i | −0.982088 | − | 0.188423i | \(-0.939662\pi\) |
0.987305 | + | 0.158834i | \(0.0507734\pi\) | |||||||
\(278\) | −2.56370 | −0.153760 | ||||||||
\(279\) | 1.27148 | − | 4.44440i | 0.0761212 | − | 0.266079i | ||||
\(280\) | 0.131530 | − | 1.40616i | 0.00786042 | − | 0.0840339i | ||||
\(281\) | −15.8449 | − | 13.2954i | −0.945226 | − | 0.793138i | 0.0332615 | − | 0.999447i | \(-0.489411\pi\) |
−0.978487 | + | 0.206308i | \(0.933855\pi\) | |||||||
\(282\) | 18.1222 | + | 0.944196i | 1.07916 | + | 0.0562261i | ||||
\(283\) | 21.5873 | + | 7.85713i | 1.28323 | + | 0.467058i | 0.891500 | − | 0.453022i | \(-0.149654\pi\) |
0.391732 | + | 0.920080i | \(0.371876\pi\) | |||||||
\(284\) | −8.61096 | − | 3.13413i | −0.510966 | − | 0.185977i | ||||
\(285\) | 2.51026 | + | 0.130789i | 0.148695 | + | 0.00774726i | ||||
\(286\) | −17.5518 | − | 14.7277i | −1.03786 | − | 0.870867i | ||||
\(287\) | −18.1348 | − | 12.8610i | −1.07046 | − | 0.759159i | ||||
\(288\) | 2.08529 | + | 2.15675i | 0.122877 | + | 0.127088i | ||||
\(289\) | −12.2290 | −0.719355 | ||||||||
\(290\) | −0.980207 | + | 5.55903i | −0.0575597 | + | 0.326437i | ||||
\(291\) | −11.9117 | − | 5.05192i | −0.698275 | − | 0.296149i | ||||
\(292\) | −7.14525 | − | 2.60066i | −0.418144 | − | 0.152192i | ||||
\(293\) | 30.3169 | + | 11.0344i | 1.77113 | + | 0.644639i | 0.999968 | + | 0.00799968i | \(0.00254641\pi\) |
0.771162 | + | 0.636639i | \(0.219676\pi\) | |||||||
\(294\) | 7.18287 | + | 9.76762i | 0.418913 | + | 0.569659i | ||||
\(295\) | −0.262661 | + | 1.48962i | −0.0152927 | + | 0.0867292i | ||||
\(296\) | −5.19917 | − | 9.00522i | −0.302195 | − | 0.523418i | ||||
\(297\) | 6.28196 | − | 18.2986i | 0.364516 | − | 1.06179i | ||||
\(298\) | 5.53655 | − | 9.58958i | 0.320724 | − | 0.555509i | ||||
\(299\) | 10.3170 | − | 3.75506i | 0.596645 | − | 0.217161i | ||||
\(300\) | −7.80915 | + | 2.39010i | −0.450861 | + | 0.137993i | ||||
\(301\) | −17.2118 | + | 1.40181i | −0.992071 | + | 0.0807991i | ||||
\(302\) | −1.11251 | + | 0.933510i | −0.0640180 | + | 0.0537175i | ||||
\(303\) | 0.368671 | + | 2.99502i | 0.0211796 | + | 0.172060i | ||||
\(304\) | 0.472108 | − | 2.67746i | 0.0270772 | − | 0.153563i | ||||
\(305\) | −1.57958 | − | 2.73591i | −0.0904464 | − | 0.156658i | ||||
\(306\) | −3.84838 | + | 5.30364i | −0.219997 | + | 0.303189i | ||||
\(307\) | −0.224919 | − | 0.389571i | −0.0128368 | − | 0.0222340i | 0.859536 | − | 0.511076i | \(-0.170753\pi\) |
−0.872372 | + | 0.488842i | \(0.837420\pi\) | |||||||
\(308\) | 2.49246 | + | 9.53040i | 0.142021 | + | 0.543045i | ||||
\(309\) | 5.43836 | + | 0.283348i | 0.309377 | + | 0.0161191i | ||||
\(310\) | −0.630092 | + | 0.528710i | −0.0357868 | + | 0.0300287i | ||||
\(311\) | −15.3904 | − | 5.60164i | −0.872708 | − | 0.317640i | −0.133445 | − | 0.991056i | \(-0.542604\pi\) |
−0.739263 | + | 0.673417i | \(0.764826\pi\) | |||||||
\(312\) | −10.6442 | − | 0.554578i | −0.602607 | − | 0.0313968i | ||||
\(313\) | −1.67045 | + | 9.47360i | −0.0944194 | + | 0.535479i | 0.900504 | + | 0.434847i | \(0.143198\pi\) |
−0.994924 | + | 0.100632i | \(0.967914\pi\) | |||||||
\(314\) | 6.25078 | + | 10.8267i | 0.352752 | + | 0.610985i | ||||
\(315\) | −2.20170 | + | 3.61990i | −0.124052 | + | 0.203958i | ||||
\(316\) | −7.40314 | + | 12.8226i | −0.416459 | + | 0.721329i | ||||
\(317\) | −0.0638640 | − | 0.0535883i | −0.00358696 | − | 0.00300982i | 0.640992 | − | 0.767547i | \(-0.278523\pi\) |
−0.644579 | + | 0.764537i | \(0.722967\pi\) | |||||||
\(318\) | −1.67341 | − | 13.5945i | −0.0938401 | − | 0.762342i | ||||
\(319\) | −6.83707 | − | 38.7750i | −0.382802 | − | 2.17098i | ||||
\(320\) | −0.0926928 | − | 0.525687i | −0.00518169 | − | 0.0293868i | ||||
\(321\) | −16.7132 | − | 15.5758i | −0.932842 | − | 0.869357i | ||||
\(322\) | −4.55211 | − | 1.24906i | −0.253679 | − | 0.0696073i | ||||
\(323\) | 5.93846 | 0.330425 | ||||||||
\(324\) | −2.79160 | − | 8.55611i | −0.155089 | − | 0.475339i | ||||
\(325\) | 14.5076 | − | 25.1280i | 0.804739 | − | 1.39385i | ||||
\(326\) | 1.52311 | + | 1.27804i | 0.0843570 | + | 0.0707839i | ||||
\(327\) | −5.57136 | + | 24.1659i | −0.308097 | + | 1.33638i | ||||
\(328\) | −7.89624 | − | 2.87400i | −0.435997 | − | 0.158690i | ||||
\(329\) | 27.6282 | − | 2.25017i | 1.52319 | − | 0.124056i | ||||
\(330\) | −2.74861 | + | 2.07254i | −0.151306 | + | 0.114090i | ||||
\(331\) | −8.52042 | − | 7.14948i | −0.468324 | − | 0.392971i | 0.377859 | − | 0.925863i | \(-0.376661\pi\) |
−0.846183 | + | 0.532893i | \(0.821105\pi\) | |||||||
\(332\) | −1.00309 | − | 1.73741i | −0.0550519 | − | 0.0953527i | ||||
\(333\) | 2.19505 | + | 31.1177i | 0.120288 | + | 1.70524i | ||||
\(334\) | −8.23573 | + | 14.2647i | −0.450639 | + | 0.780530i | ||||
\(335\) | 1.54471 | + | 1.29617i | 0.0843965 | + | 0.0708171i | ||||
\(336\) | 3.59499 | + | 2.84184i | 0.196123 | + | 0.155035i | ||||
\(337\) | 3.16376 | + | 17.9426i | 0.172341 | + | 0.977393i | 0.941169 | + | 0.337937i | \(0.109729\pi\) |
−0.768828 | + | 0.639456i | \(0.779160\pi\) | |||||||
\(338\) | 19.0504 | − | 15.9852i | 1.03621 | − | 0.869479i | ||||
\(339\) | −13.0252 | + | 20.0704i | −0.707430 | + | 1.09008i | ||||
\(340\) | 1.09563 | − | 0.398777i | 0.0594190 | − | 0.0216267i | ||||
\(341\) | 2.86862 | − | 4.96859i | 0.155344 | − | 0.269064i | ||||
\(342\) | −4.79011 | + | 6.60150i | −0.259020 | + | 0.356968i | ||||
\(343\) | 12.8579 | + | 13.3294i | 0.694263 | + | 0.719721i | ||||
\(344\) | −6.13336 | + | 2.23236i | −0.330689 | + | 0.120361i | ||||
\(345\) | −0.201528 | − | 1.63718i | −0.0108499 | − | 0.0881430i | ||||
\(346\) | −1.40691 | − | 7.97900i | −0.0756361 | − | 0.428954i | ||||
\(347\) | −9.48956 | + | 7.96269i | −0.509426 | + | 0.427459i | −0.860927 | − | 0.508728i | \(-0.830116\pi\) |
0.351501 | + | 0.936188i | \(0.385671\pi\) | |||||||
\(348\) | −13.3993 | − | 12.4874i | −0.718280 | − | 0.669397i | ||||
\(349\) | −0.465111 | + | 2.63777i | −0.0248968 | + | 0.141197i | −0.994722 | − | 0.102603i | \(-0.967283\pi\) |
0.969826 | + | 0.243800i | \(0.0783940\pi\) | |||||||
\(350\) | −11.3375 | + | 5.20417i | −0.606016 | + | 0.278175i | ||||
\(351\) | 27.9808 | + | 15.4765i | 1.49351 | + | 0.826077i | ||||
\(352\) | 1.86165 | + | 3.22447i | 0.0992263 | + | 0.171865i | ||||
\(353\) | 5.84821 | + | 4.90723i | 0.311269 | + | 0.261185i | 0.785016 | − | 0.619475i | \(-0.212655\pi\) |
−0.473747 | + | 0.880661i | \(0.657099\pi\) | |||||||
\(354\) | −3.59055 | − | 3.34619i | −0.190835 | − | 0.177848i | ||||
\(355\) | −0.849399 | − | 4.81718i | −0.0450814 | − | 0.255669i | ||||
\(356\) | 2.94030 | − | 2.46720i | 0.155836 | − | 0.130762i | ||||
\(357\) | −4.74944 | + | 8.81096i | −0.251367 | + | 0.466326i | ||||
\(358\) | 4.26525 | − | 1.55242i | 0.225425 | − | 0.0820481i | ||||
\(359\) | −5.86980 | −0.309796 | −0.154898 | − | 0.987930i | \(-0.549505\pi\) | ||||
−0.154898 | + | 0.987930i | \(0.549505\pi\) | |||||||
\(360\) | −0.440463 | + | 1.53962i | −0.0232144 | + | 0.0811453i | ||||
\(361\) | −11.6083 | −0.610965 | ||||||||
\(362\) | −0.713855 | + | 4.04847i | −0.0375194 | + | 0.212783i | ||||
\(363\) | 2.69950 | − | 4.15964i | 0.141687 | − | 0.218324i | ||||
\(364\) | −16.2275 | + | 1.32165i | −0.850554 | + | 0.0692733i | ||||
\(365\) | −0.704819 | − | 3.99723i | −0.0368919 | − | 0.209224i | ||||
\(366\) | 10.2369 | + | 0.533358i | 0.535090 | + | 0.0278791i | ||||
\(367\) | −30.2990 | + | 11.0279i | −1.58160 | + | 0.575654i | −0.975550 | − | 0.219775i | \(-0.929468\pi\) |
−0.606046 | + | 0.795430i | \(0.707245\pi\) | |||||||
\(368\) | −1.78413 | −0.0930042 | ||||||||
\(369\) | 17.5227 | + | 18.1232i | 0.912197 | + | 0.943454i | ||||
\(370\) | 2.77530 | − | 4.80696i | 0.144281 | − | 0.249902i | ||||
\(371\) | −5.29382 | − | 20.2419i | −0.274841 | − | 1.05091i | ||||
\(372\) | −0.326068 | − | 2.64892i | −0.0169058 | − | 0.137340i | ||||
\(373\) | 7.41889 | + | 2.70025i | 0.384135 | + | 0.139814i | 0.526867 | − | 0.849948i | \(-0.323366\pi\) |
−0.142732 | + | 0.989761i | \(0.545589\pi\) | |||||||
\(374\) | −6.22996 | + | 5.22756i | −0.322144 | + | 0.270311i | ||||
\(375\) | −6.57103 | − | 6.12383i | −0.339326 | − | 0.316233i | ||||
\(376\) | 9.84520 | − | 3.58336i | 0.507727 | − | 0.184798i | ||||
\(377\) | 65.0745 | 3.35151 | ||||||||
\(378\) | −5.96370 | − | 12.3869i | −0.306739 | − | 0.637111i | ||||
\(379\) | 7.39451 | 0.379830 | 0.189915 | − | 0.981801i | \(-0.439179\pi\) | ||||
0.189915 | + | 0.981801i | \(0.439179\pi\) | |||||||
\(380\) | 1.36374 | − | 0.496362i | 0.0699586 | − | 0.0254628i | ||||
\(381\) | 7.94216 | − | 34.4492i | 0.406889 | − | 1.76489i | ||||
\(382\) | −11.3230 | + | 9.50114i | −0.579336 | + | 0.486121i | ||||
\(383\) | −30.3777 | − | 11.0566i | −1.55223 | − | 0.564964i | −0.583288 | − | 0.812266i | \(-0.698234\pi\) |
−0.968939 | + | 0.247302i | \(0.920456\pi\) | |||||||
\(384\) | 1.59457 | + | 0.676279i | 0.0813724 | + | 0.0345112i | ||||
\(385\) | −3.74049 | + | 3.69587i | −0.190633 | + | 0.188359i | ||||
\(386\) | 2.54104 | − | 4.40121i | 0.129336 | − | 0.224016i | ||||
\(387\) | 19.4749 | + | 2.03488i | 0.989967 | + | 0.103439i | ||||
\(388\) | −7.47017 | −0.379240 | ||||||||
\(389\) | 16.0096 | − | 5.82703i | 0.811720 | − | 0.295442i | 0.0973860 | − | 0.995247i | \(-0.468952\pi\) |
0.714334 | + | 0.699805i | \(0.246730\pi\) | |||||||
\(390\) | −2.58454 | − | 5.06861i | −0.130873 | − | 0.256659i | ||||
\(391\) | −0.676705 | − | 3.83779i | −0.0342225 | − | 0.194085i | ||||
\(392\) | 6.01974 | + | 3.57250i | 0.304043 | + | 0.180439i | ||||
\(393\) | −2.95484 | − | 5.79483i | −0.149052 | − | 0.292311i | ||||
\(394\) | −0.656650 | + | 3.72405i | −0.0330816 | + | 0.187615i | ||||
\(395\) | −7.90355 | −0.397671 | ||||||||
\(396\) | −0.785976 | − | 11.1422i | −0.0394968 | − | 0.559918i | ||||
\(397\) | 24.1808 | 1.21360 | 0.606799 | − | 0.794855i | \(-0.292453\pi\) | ||||
0.606799 | + | 0.794855i | \(0.292453\pi\) | |||||||
\(398\) | −19.7781 | + | 7.19864i | −0.991386 | + | 0.360835i | ||||
\(399\) | −5.91167 | + | 10.9671i | −0.295954 | + | 0.549041i | ||||
\(400\) | −3.61195 | + | 3.03078i | −0.180597 | + | 0.151539i | ||||
\(401\) | −2.86034 | − | 16.2218i | −0.142839 | − | 0.810078i | −0.969077 | − | 0.246758i | \(-0.920635\pi\) |
0.826238 | − | 0.563320i | \(-0.190476\pi\) | |||||||
\(402\) | −6.25653 | + | 1.91490i | −0.312047 | + | 0.0955066i | ||||
\(403\) | 7.26386 | + | 6.09510i | 0.361839 | + | 0.303619i | ||||
\(404\) | 0.871114 | + | 1.50881i | 0.0433396 | + | 0.0750663i | ||||
\(405\) | 3.21026 | − | 3.57412i | 0.159519 | − | 0.177599i | ||||
\(406\) | −22.8217 | − | 16.1849i | −1.13262 | − | 0.803244i | ||||
\(407\) | −6.72298 | + | 38.1279i | −0.333246 | + | 1.88993i | ||||
\(408\) | −0.849918 | + | 3.68653i | −0.0420772 | + | 0.182511i | ||||
\(409\) | −7.81279 | + | 6.55571i | −0.386318 | + | 0.324159i | −0.815177 | − | 0.579212i | \(-0.803360\pi\) |
0.428859 | + | 0.903371i | \(0.358916\pi\) | |||||||
\(410\) | −0.778899 | − | 4.41735i | −0.0384671 | − | 0.218158i | ||||
\(411\) | −6.78071 | − | 2.87580i | −0.334468 | − | 0.141853i | ||||
\(412\) | 2.95448 | − | 1.07534i | 0.145557 | − | 0.0529784i | ||||
\(413\) | −6.11541 | − | 4.33698i | −0.300920 | − | 0.213409i | ||||
\(414\) | 4.81213 | + | 2.34340i | 0.236503 | + | 0.115172i | ||||
\(415\) | 0.535448 | − | 0.927423i | 0.0262841 | − | 0.0455254i | ||||
\(416\) | −5.78263 | + | 2.10470i | −0.283517 | + | 0.103192i | ||||
\(417\) | 4.43444 | + | 0.231042i | 0.217156 | + | 0.0113142i | ||||
\(418\) | −7.75449 | + | 6.50679i | −0.379285 | + | 0.318258i | ||||
\(419\) | −6.20977 | − | 35.2174i | −0.303367 | − | 1.72048i | −0.631092 | − | 0.775708i | \(-0.717393\pi\) |
0.327725 | − | 0.944773i | \(-0.393718\pi\) | |||||||
\(420\) | −0.354232 | + | 2.42038i | −0.0172847 | + | 0.118102i | ||||
\(421\) | 25.2202 | + | 21.1622i | 1.22916 | + | 1.03138i | 0.998293 | + | 0.0583970i | \(0.0185989\pi\) |
0.230862 | + | 0.972987i | \(0.425846\pi\) | |||||||
\(422\) | 0.263654 | − | 0.456662i | 0.0128345 | − | 0.0222300i | ||||
\(423\) | −31.2609 | − | 3.26636i | −1.51996 | − | 0.158816i | ||||
\(424\) | −3.95402 | − | 6.84856i | −0.192024 | − | 0.332595i | ||||
\(425\) | −7.88941 | − | 6.62000i | −0.382692 | − | 0.321117i | ||||
\(426\) | 14.6120 | + | 6.19715i | 0.707952 | + | 0.300253i | ||||
\(427\) | 15.6066 | − | 1.27108i | 0.755257 | − | 0.0615118i | ||||
\(428\) | −12.3947 | − | 4.51129i | −0.599119 | − | 0.218061i | ||||
\(429\) | 29.0321 | + | 27.0563i | 1.40169 | + | 1.30629i | ||||
\(430\) | −2.66896 | − | 2.23953i | −0.128709 | − | 0.108000i | ||||
\(431\) | −1.03187 | + | 1.78725i | −0.0497034 | + | 0.0860888i | −0.889807 | − | 0.456338i | \(-0.849161\pi\) |
0.840103 | + | 0.542426i | \(0.182494\pi\) | |||||||
\(432\) | −3.41257 | − | 3.91846i | −0.164187 | − | 0.188527i | ||||
\(433\) | 29.0541 | 1.39625 | 0.698124 | − | 0.715977i | \(-0.254018\pi\) | ||||
0.698124 | + | 0.715977i | \(0.254018\pi\) | |||||||
\(434\) | −1.03151 | − | 3.94418i | −0.0495142 | − | 0.189327i | ||||
\(435\) | 2.19645 | − | 9.52714i | 0.105312 | − | 0.456792i | ||||
\(436\) | 2.48632 | + | 14.1006i | 0.119073 | + | 0.675298i | ||||
\(437\) | −0.842302 | − | 4.77693i | −0.0402928 | − | 0.228512i | ||||
\(438\) | 12.1248 | + | 5.14230i | 0.579345 | + | 0.245709i | ||||
\(439\) | 26.9910 | + | 22.6481i | 1.28821 | + | 1.08094i | 0.992056 | + | 0.125797i | \(0.0401487\pi\) |
0.296154 | + | 0.955140i | \(0.404296\pi\) | |||||||
\(440\) | −0.993743 | + | 1.72121i | −0.0473748 | + | 0.0820556i | ||||
\(441\) | −11.5440 | − | 17.5424i | −0.549713 | − | 0.835354i | ||||
\(442\) | −6.72066 | − | 11.6405i | −0.319669 | − | 0.553684i | ||||
\(443\) | −1.05504 | + | 5.98344i | −0.0501266 | + | 0.284282i | −0.999559 | − | 0.0296890i | \(-0.990548\pi\) |
0.949433 | + | 0.313971i | \(0.101659\pi\) | |||||||
\(444\) | 8.18147 | + | 16.0449i | 0.388275 | + | 0.761458i | ||||
\(445\) | 1.92530 | + | 0.700753i | 0.0912681 | + | 0.0332189i | ||||
\(446\) | −4.27792 | + | 3.58960i | −0.202565 | + | 0.169973i | ||||
\(447\) | −10.4408 | + | 16.0882i | −0.493833 | + | 0.760945i | ||||
\(448\) | 2.55144 | + | 0.700094i | 0.120544 | + | 0.0330763i | ||||
\(449\) | 8.11231 | + | 14.0509i | 0.382843 | + | 0.663104i | 0.991467 | − | 0.130355i | \(-0.0416116\pi\) |
−0.608624 | + | 0.793459i | \(0.708278\pi\) | |||||||
\(450\) | 13.7229 | − | 3.43041i | 0.646905 | − | 0.161711i | ||||
\(451\) | 15.6435 | + | 27.0953i | 0.736622 | + | 1.27587i | ||||
\(452\) | −2.39877 | + | 13.6041i | −0.112829 | + | 0.639883i | ||||
\(453\) | 2.00845 | − | 1.51444i | 0.0943652 | − | 0.0711544i | ||||
\(454\) | −0.0734650 | + | 0.0616445i | −0.00344788 | + | 0.00289312i | ||||
\(455\) | −4.94208 | − | 7.14894i | −0.231688 | − | 0.335148i | ||||
\(456\) | −1.05790 | + | 4.58866i | −0.0495408 | + | 0.214884i | ||||
\(457\) | −30.2877 | + | 11.0238i | −1.41680 | + | 0.515672i | −0.933117 | − | 0.359573i | \(-0.882922\pi\) |
−0.483680 | + | 0.875245i | \(0.660700\pi\) | |||||||
\(458\) | −8.92467 | + | 15.4580i | −0.417022 | + | 0.722304i | ||||
\(459\) | 7.13453 | − | 8.82692i | 0.333011 | − | 0.412005i | ||||
\(460\) | −0.476181 | − | 0.824770i | −0.0222021 | − | 0.0384551i | ||||
\(461\) | 4.89315 | − | 27.7504i | 0.227896 | − | 1.29247i | −0.629173 | − | 0.777265i | \(-0.716606\pi\) |
0.857070 | − | 0.515200i | \(-0.172282\pi\) | |||||||
\(462\) | −3.45234 | − | 16.7094i | −0.160617 | − | 0.777391i | ||||
\(463\) | 5.73184 | + | 2.08622i | 0.266381 | + | 0.0969548i | 0.471758 | − | 0.881728i | \(-0.343620\pi\) |
−0.205377 | + | 0.978683i | \(0.565842\pi\) | |||||||
\(464\) | −9.93705 | − | 3.61679i | −0.461316 | − | 0.167905i | ||||
\(465\) | 1.13752 | − | 0.857728i | 0.0527513 | − | 0.0397762i | ||||
\(466\) | −0.393989 | + | 2.23442i | −0.0182512 | + | 0.103508i | ||||
\(467\) | −5.53985 | −0.256354 | −0.128177 | − | 0.991751i | \(-0.540913\pi\) | ||||
−0.128177 | + | 0.991751i | \(0.540913\pi\) | |||||||
\(468\) | 18.3613 | + | 1.91851i | 0.848750 | + | 0.0886833i | ||||
\(469\) | −9.08338 | + | 4.16947i | −0.419432 | + | 0.192528i | ||||
\(470\) | 4.28419 | + | 3.59486i | 0.197615 | + | 0.165819i | ||||
\(471\) | −9.83631 | − | 19.2903i | −0.453233 | − | 0.888849i | ||||
\(472\) | −2.66278 | − | 0.969171i | −0.122564 | − | 0.0446097i | ||||
\(473\) | 22.8364 | + | 8.31175i | 1.05002 | + | 0.382175i | ||||
\(474\) | 13.9608 | − | 21.5122i | 0.641242 | − | 0.988087i | ||||
\(475\) | −9.82002 | − | 8.23998i | −0.450573 | − | 0.378076i | ||||
\(476\) | −0.538210 | + | 5.75387i | −0.0246688 | + | 0.263728i | ||||
\(477\) | 1.66936 | + | 23.6653i | 0.0764347 | + | 1.08356i | ||||
\(478\) | −16.4530 | −0.752542 | ||||||||
\(479\) | −4.49413 | + | 25.4875i | −0.205342 | + | 1.16455i | 0.691559 | + | 0.722320i | \(0.256924\pi\) |
−0.896901 | + | 0.442232i | \(0.854187\pi\) | |||||||
\(480\) | 0.112956 | + | 0.917637i | 0.00515571 | + | 0.0418842i | ||||
\(481\) | −60.1296 | − | 21.8854i | −2.74168 | − | 0.997888i | ||||
\(482\) | −16.8597 | − | 6.13641i | −0.767937 | − | 0.279506i | ||||
\(483\) | 7.76123 | + | 2.57074i | 0.353148 | + | 0.116973i | ||||
\(484\) | 0.497150 | − | 2.81948i | 0.0225977 | − | 0.128158i | ||||
\(485\) | −1.99378 | − | 3.45332i | −0.0905327 | − | 0.156807i | ||||
\(486\) | 4.05757 | + | 15.0511i | 0.184055 | + | 0.682733i | ||||
\(487\) | −13.3297 | + | 23.0877i | −0.604026 | + | 1.04620i | 0.388178 | + | 0.921584i | \(0.373105\pi\) |
−0.992205 | + | 0.124620i | \(0.960229\pi\) | |||||||
\(488\) | 5.56136 | − | 2.02417i | 0.251751 | − | 0.0916299i | ||||
\(489\) | −2.51935 | − | 2.34789i | −0.113929 | − | 0.106175i | ||||
\(490\) | −0.0448448 | + | 3.73631i | −0.00202588 | + | 0.168789i | ||||
\(491\) | 6.83700 | − | 5.73692i | 0.308549 | − | 0.258904i | −0.475343 | − | 0.879801i | \(-0.657676\pi\) |
0.783892 | + | 0.620897i | \(0.213232\pi\) | |||||||
\(492\) | 13.3992 | + | 5.68278i | 0.604081 | + | 0.256200i | ||||
\(493\) | 4.01093 | − | 22.7471i | 0.180643 | − | 1.02448i | ||||
\(494\) | −8.36528 | − | 14.4891i | −0.376372 | − | 0.651895i | ||||
\(495\) | 4.94107 | − | 3.33718i | 0.222084 | − | 0.149995i | ||||
\(496\) | −0.770450 | − | 1.33446i | −0.0345942 | − | 0.0599189i | ||||
\(497\) | 23.3804 | + | 6.41538i | 1.04875 | + | 0.287769i | ||||
\(498\) | 1.57848 | + | 3.09560i | 0.0707333 | + | 0.138717i | ||||
\(499\) | 28.7294 | − | 24.1068i | 1.28611 | − | 1.07917i | 0.293734 | − | 0.955887i | \(-0.405102\pi\) |
0.992371 | − | 0.123283i | \(-0.0393424\pi\) | |||||||
\(500\) | −4.87312 | − | 1.77367i | −0.217933 | − | 0.0793210i | ||||
\(501\) | 15.5309 | − | 23.9315i | 0.693870 | − | 1.06918i | ||||
\(502\) | −0.0239704 | + | 0.135943i | −0.00106985 | + | 0.00606742i | ||||
\(503\) | 0.558023 | + | 0.966525i | 0.0248810 | + | 0.0430952i | 0.878198 | − | 0.478298i | \(-0.158746\pi\) |
−0.853317 | + | 0.521393i | \(0.825413\pi\) | |||||||
\(504\) | −5.96217 | − | 5.23952i | −0.265576 | − | 0.233387i | ||||
\(505\) | −0.464998 | + | 0.805400i | −0.0206921 | + | 0.0358398i | ||||
\(506\) | 5.08872 | + | 4.26994i | 0.226221 | + | 0.189822i | ||||
\(507\) | −34.3922 | + | 25.9328i | −1.52741 | + | 1.15172i | ||||
\(508\) | −3.54433 | − | 20.1009i | −0.157254 | − | 0.891834i | ||||
\(509\) | −5.44189 | − | 30.8625i | −0.241208 | − | 1.36796i | −0.829138 | − | 0.559044i | \(-0.811168\pi\) |
0.587930 | − | 0.808912i | \(-0.299943\pi\) | |||||||
\(510\) | −1.93106 | + | 0.591028i | −0.0855087 | + | 0.0261712i | ||||
\(511\) | 19.4007 | + | 5.32339i | 0.858237 | + | 0.235493i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 8.88041 | − | 10.9870i | 0.392080 | − | 0.485086i | ||||
\(514\) | 10.1917 | − | 17.6526i | 0.449538 | − | 0.778622i | ||||
\(515\) | 1.28566 | + | 1.07880i | 0.0566529 | + | 0.0475374i | ||||
\(516\) | 10.8101 | − | 3.30858i | 0.475887 | − | 0.145652i | ||||
\(517\) | −36.6566 | − | 13.3419i | −1.61216 | − | 0.586777i | ||||
\(518\) | 15.6444 | + | 22.6303i | 0.687374 | + | 0.994319i | ||||
\(519\) | 1.71447 | + | 13.9281i | 0.0752570 | + | 0.611376i | ||||
\(520\) | −2.51634 | − | 2.11146i | −0.110349 | − | 0.0925936i | ||||
\(521\) | 0.657554 | + | 1.13892i | 0.0288080 | + | 0.0498969i | 0.880070 | − | 0.474844i | \(-0.157496\pi\) |
−0.851262 | + | 0.524741i | \(0.824162\pi\) | |||||||
\(522\) | 22.0515 | + | 22.8071i | 0.965169 | + | 0.998241i | ||||
\(523\) | −8.17597 | + | 14.1612i | −0.357510 | + | 0.619226i | −0.987544 | − | 0.157342i | \(-0.949708\pi\) |
0.630034 | + | 0.776568i | \(0.283041\pi\) | |||||||
\(524\) | −2.87687 | − | 2.41398i | −0.125677 | − | 0.105455i | ||||
\(525\) | 20.0796 | − | 7.97993i | 0.876344 | − | 0.348273i | ||||
\(526\) | 2.68773 | + | 15.2429i | 0.117191 | + | 0.664621i | ||||
\(527\) | 2.57829 | − | 2.16344i | 0.112312 | − | 0.0942409i | ||||
\(528\) | −2.92951 | − | 5.74516i | −0.127491 | − | 0.250026i | ||||
\(529\) | 18.6218 | − | 6.77777i | 0.809643 | − | 0.294686i | ||||
\(530\) | 2.11064 | − | 3.65574i | 0.0916804 | − | 0.158795i | ||||
\(531\) | 5.90902 | + | 6.11150i | 0.256430 | + | 0.265217i | ||||
\(532\) | −0.669916 | + | 7.16190i | −0.0290445 | + | 0.310508i | ||||
\(533\) | −48.5914 | + | 17.6858i | −2.10473 | + | 0.766059i | ||||
\(534\) | −5.30819 | + | 4.00255i | −0.229708 | + | 0.173207i | ||||
\(535\) | −1.22263 | − | 6.93388i | −0.0528589 | − | 0.299778i | ||||
\(536\) | −2.89382 | + | 2.42820i | −0.124994 | + | 0.104882i | ||||
\(537\) | −7.51752 | + | 2.30085i | −0.324405 | + | 0.0992889i | ||||
\(538\) | 4.73095 | − | 26.8306i | 0.203966 | − | 1.15675i | ||||
\(539\) | −8.61953 | − | 24.5965i | −0.371270 | − | 1.05945i | ||||
\(540\) | 0.900623 | − | 2.62340i | 0.0387566 | − | 0.112893i | ||||
\(541\) | −3.48995 | − | 6.04477i | −0.150045 | − | 0.259885i | 0.781199 | − | 0.624282i | \(-0.214608\pi\) |
−0.931244 | + | 0.364397i | \(0.881275\pi\) | |||||||
\(542\) | −4.93129 | − | 4.13785i | −0.211817 | − | 0.177736i | ||||
\(543\) | 1.59961 | − | 6.93832i | 0.0686457 | − | 0.297752i | ||||
\(544\) | 0.379292 | + | 2.15107i | 0.0162620 | + | 0.0922263i | ||||
\(545\) | −5.85487 | + | 4.91282i | −0.250795 | + | 0.210442i | ||||
\(546\) | 28.1880 | − | 0.823631i | 1.20633 | − | 0.0352481i | ||||
\(547\) | 18.8244 | − | 6.85153i | 0.804875 | − | 0.292950i | 0.0933697 | − | 0.995632i | \(-0.470236\pi\) |
0.711505 | + | 0.702681i | \(0.248014\pi\) | |||||||
\(548\) | −4.25238 | −0.181653 | ||||||||
\(549\) | −17.6587 | − | 1.84510i | −0.753655 | − | 0.0787472i | ||||
\(550\) | 17.5556 | 0.748573 | ||||||||
\(551\) | 4.99244 | − | 28.3135i | 0.212685 | − | 1.20620i | ||||
\(552\) | 3.08602 | + | 0.160787i | 0.131350 | + | 0.00684353i | ||||
\(553\) | 16.7683 | − | 35.4035i | 0.713061 | − | 1.50551i | ||||
\(554\) | 0.0868347 | + | 0.492464i | 0.00368925 | + | 0.0209228i | ||||
\(555\) | −5.23365 | + | 8.06450i | −0.222156 | + | 0.342319i | ||||
\(556\) | 2.40909 | − | 0.876837i | 0.102168 | − | 0.0371862i | ||||
\(557\) | −13.0785 | −0.554153 | −0.277076 | − | 0.960848i | \(-0.589366\pi\) | ||||
−0.277076 | + | 0.960848i | \(0.589366\pi\) | |||||||
\(558\) | 0.325279 | + | 4.61124i | 0.0137701 | + | 0.195209i | ||||
\(559\) | −20.0827 | + | 34.7842i | −0.849407 | + | 1.47122i | ||||
\(560\) | 0.357336 | + | 1.36634i | 0.0151002 | + | 0.0577384i | ||||
\(561\) | 11.2471 | − | 8.48068i | 0.474853 | − | 0.358055i | ||||
\(562\) | 19.4366 | + | 7.07435i | 0.819884 | + | 0.298413i | ||||
\(563\) | 4.71551 | − | 3.95678i | 0.198735 | − | 0.166759i | −0.537989 | − | 0.842952i | \(-0.680816\pi\) |
0.736724 | + | 0.676193i | \(0.236371\pi\) | |||||||
\(564\) | −17.3522 | + | 5.31090i | −0.730660 | + | 0.223629i | ||||
\(565\) | −6.92915 | + | 2.52200i | −0.291511 | + | 0.106102i | ||||
\(566\) | −22.9727 | −0.965615 | ||||||||
\(567\) | 9.19912 | + | 21.9631i | 0.386327 | + | 0.922362i | ||||
\(568\) | 9.16359 | 0.384496 | ||||||||
\(569\) | −10.2618 | + | 3.73498i | −0.430196 | + | 0.156578i | −0.548037 | − | 0.836454i | \(-0.684625\pi\) |
0.117842 | + | 0.993032i | \(0.462403\pi\) | |||||||
\(570\) | −2.40361 | + | 0.735659i | −0.100676 | + | 0.0308134i | ||||
\(571\) | −33.5163 | + | 28.1235i | −1.40261 | + | 1.17693i | −0.442690 | + | 0.896675i | \(0.645976\pi\) |
−0.959924 | + | 0.280259i | \(0.909580\pi\) | |||||||
\(572\) | 21.5305 | + | 7.83645i | 0.900234 | + | 0.327658i | ||||
\(573\) | 20.4417 | − | 15.4137i | 0.853965 | − | 0.643918i | ||||
\(574\) | 21.4398 | + | 5.88290i | 0.894880 | + | 0.245547i | ||||
\(575\) | −4.20614 | + | 7.28525i | −0.175408 | + | 0.303816i | ||||
\(576\) | −2.69718 | − | 1.31347i | −0.112383 | − | 0.0547278i | ||||
\(577\) | 30.9749 | 1.28950 | 0.644752 | − | 0.764392i | \(-0.276961\pi\) | ||||
0.644752 | + | 0.764392i | \(0.276961\pi\) | |||||||
\(578\) | 11.4915 | − | 4.18258i | 0.477985 | − | 0.173972i | ||||
\(579\) | −4.79189 | + | 7.38380i | −0.199144 | + | 0.306860i | ||||
\(580\) | −0.980207 | − | 5.55903i | −0.0407009 | − | 0.230826i | ||||
\(581\) | 3.01832 | + | 4.36614i | 0.125221 | + | 0.181138i | ||||
\(582\) | 12.9212 | + | 0.673215i | 0.535600 | + | 0.0279057i | ||||
\(583\) | −5.11290 | + | 28.9967i | −0.211755 | + | 1.20092i | ||||
\(584\) | 7.60381 | 0.314648 | ||||||||
\(585\) | 4.01370 | + | 9.00012i | 0.165946 | + | 0.372109i | ||||
\(586\) | −32.2625 | −1.33275 | ||||||||
\(587\) | −17.2058 | + | 6.26239i | −0.710158 | + | 0.258476i | −0.671742 | − | 0.740785i | \(-0.734454\pi\) |
−0.0384165 | + | 0.999262i | \(0.512231\pi\) | |||||||
\(588\) | −10.0904 | − | 6.72188i | −0.416121 | − | 0.277206i | ||||
\(589\) | 3.20922 | − | 2.69285i | 0.132234 | − | 0.110957i | ||||
\(590\) | −0.262661 | − | 1.48962i | −0.0108136 | − | 0.0613268i | ||||
\(591\) | 1.47142 | − | 6.38232i | 0.0605263 | − | 0.262534i | ||||
\(592\) | 7.96558 | + | 6.68392i | 0.327383 | + | 0.274707i | ||||
\(593\) | 4.86034 | + | 8.41836i | 0.199590 | + | 0.345701i | 0.948396 | − | 0.317089i | \(-0.102706\pi\) |
−0.748805 | + | 0.662790i | \(0.769372\pi\) | |||||||
\(594\) | 0.355364 | + | 19.3436i | 0.0145808 | + | 0.793677i | ||||
\(595\) | −2.80356 | + | 1.28690i | −0.114935 | + | 0.0527576i | ||||
\(596\) | −1.92282 | + | 10.9049i | −0.0787619 | + | 0.446681i | ||||
\(597\) | 34.8590 | − | 10.6691i | 1.42668 | − | 0.436657i | ||||
\(598\) | −8.41046 | + | 7.05721i | −0.343929 | + | 0.288591i | ||||
\(599\) | −2.08939 | − | 11.8495i | −0.0853700 | − | 0.484157i | −0.997276 | − | 0.0737585i | \(-0.976501\pi\) |
0.911906 | − | 0.410399i | \(-0.134611\pi\) | |||||||
\(600\) | 6.52074 | − | 4.91685i | 0.266208 | − | 0.200730i | ||||
\(601\) | −24.9525 | + | 9.08198i | −1.01784 | + | 0.370462i | −0.796437 | − | 0.604722i | \(-0.793284\pi\) |
−0.221398 | + | 0.975183i | \(0.571062\pi\) | |||||||
\(602\) | 15.6943 | − | 7.20405i | 0.639654 | − | 0.293615i | ||||
\(603\) | 10.9945 | − | 2.74837i | 0.447731 | − | 0.111922i | ||||
\(604\) | 0.726142 | − | 1.25771i | 0.0295463 | − | 0.0511757i | ||||
\(605\) | 1.43608 | − | 0.522691i | 0.0583851 | − | 0.0212504i | ||||
\(606\) | −1.37080 | − | 2.68831i | −0.0556848 | − | 0.109205i | ||||
\(607\) | −11.6181 | + | 9.74877i | −0.471565 | + | 0.395690i | −0.847365 | − | 0.531011i | \(-0.821812\pi\) |
0.375800 | + | 0.926701i | \(0.377368\pi\) | |||||||
\(608\) | 0.472108 | + | 2.67746i | 0.0191465 | + | 0.108585i | ||||
\(609\) | 38.0163 | + | 30.0518i | 1.54050 | + | 1.21776i | ||||
\(610\) | 2.42006 | + | 2.03067i | 0.0979852 | + | 0.0822193i | ||||
\(611\) | 32.2365 | − | 55.8353i | 1.30415 | − | 2.25885i | ||||
\(612\) | 1.80234 | − | 6.30002i | 0.0728552 | − | 0.254663i | ||||
\(613\) | −1.38229 | − | 2.39420i | −0.0558304 | − | 0.0967010i | 0.836759 | − | 0.547571i | \(-0.184447\pi\) |
−0.892590 | + | 0.450870i | \(0.851114\pi\) | |||||||
\(614\) | 0.344596 | + | 0.289150i | 0.0139068 | + | 0.0116691i | ||||
\(615\) | 0.949170 | + | 7.71091i | 0.0382742 | + | 0.310934i | ||||
\(616\) | −5.60174 | − | 8.10317i | −0.225700 | − | 0.326486i | ||||
\(617\) | 11.9987 | + | 4.36716i | 0.483048 | + | 0.175815i | 0.572054 | − | 0.820216i | \(-0.306147\pi\) |
−0.0890059 | + | 0.996031i | \(0.528369\pi\) | |||||||
\(618\) | −5.20729 | + | 1.59377i | −0.209468 | + | 0.0641108i | ||||
\(619\) | −16.3049 | − | 13.6814i | −0.655348 | − | 0.549902i | 0.253341 | − | 0.967377i | \(-0.418471\pi\) |
−0.908688 | + | 0.417475i | \(0.862915\pi\) | |||||||
\(620\) | 0.411264 | − | 0.712329i | 0.0165167 | − | 0.0286078i | ||||
\(621\) | −8.11237 | − | 4.48705i | −0.325538 | − | 0.180059i | ||||
\(622\) | 16.3781 | 0.656702 | ||||||||
\(623\) | −7.22374 | + | 7.13756i | −0.289413 | + | 0.285960i | ||||
\(624\) | 10.1919 | − | 3.11938i | 0.408003 | − | 0.124875i | ||||
\(625\) | 3.61312 | + | 20.4910i | 0.144525 | + | 0.819640i | ||||
\(626\) | −1.67045 | − | 9.47360i | −0.0667646 | − | 0.378641i | ||||
\(627\) | 13.9994 | − | 10.5560i | 0.559081 | − | 0.421566i | ||||
\(628\) | −9.57676 | − | 8.03585i | −0.382154 | − | 0.320665i | ||||
\(629\) | −11.3563 | + | 19.6697i | −0.452805 | + | 0.784281i | ||||
\(630\) | 0.830842 | − | 4.15462i | 0.0331015 | − | 0.165524i | ||||
\(631\) | 22.3795 | + | 38.7625i | 0.890916 | + | 1.54311i | 0.838780 | + | 0.544471i | \(0.183270\pi\) |
0.0521360 | + | 0.998640i | \(0.483397\pi\) | |||||||
\(632\) | 2.57108 | − | 14.5813i | 0.102272 | − | 0.580015i | ||||
\(633\) | −0.497199 | + | 0.766131i | −0.0197619 | + | 0.0304510i | ||||
\(634\) | 0.0783408 | + | 0.0285137i | 0.00311131 | + | 0.00113242i | ||||
\(635\) | 8.34631 | − | 7.00338i | 0.331213 | − | 0.277921i | ||||
\(636\) | 6.22209 | + | 12.2023i | 0.246722 | + | 0.483854i | ||||
\(637\) | 42.5085 | − | 6.97044i | 1.68425 | − | 0.276179i | ||||
\(638\) | 19.6866 | + | 34.0981i | 0.779398 | + | 1.34996i | ||||
\(639\) | −24.7159 | − | 12.0361i | −0.977746 | − | 0.476140i | ||||
\(640\) | 0.266898 | + | 0.462282i | 0.0105501 | + | 0.0182733i | ||||
\(641\) | 2.56788 | − | 14.5632i | 0.101425 | − | 0.575210i | −0.891163 | − | 0.453683i | \(-0.850110\pi\) |
0.992588 | − | 0.121527i | \(-0.0387791\pi\) | |||||||
\(642\) | 21.0325 | + | 8.92021i | 0.830088 | + | 0.352053i | ||||
\(643\) | −5.58511 | + | 4.68647i | −0.220255 | + | 0.184816i | −0.746238 | − | 0.665679i | \(-0.768142\pi\) |
0.525983 | + | 0.850495i | \(0.323698\pi\) | |||||||
\(644\) | 4.70478 | − | 0.383181i | 0.185394 | − | 0.0150994i | ||||
\(645\) | 4.41469 | + | 4.11425i | 0.173828 | + | 0.161998i | ||||
\(646\) | −5.58033 | + | 2.03107i | −0.219555 | + | 0.0799115i | ||||
\(647\) | 9.57823 | − | 16.5900i | 0.376559 | − | 0.652219i | −0.614000 | − | 0.789306i | \(-0.710441\pi\) |
0.990559 | + | 0.137087i | \(0.0437738\pi\) | |||||||
\(648\) | 5.54961 | + | 7.08533i | 0.218009 | + | 0.278338i | ||||
\(649\) | 5.27530 | + | 9.13709i | 0.207074 | + | 0.358662i | ||||
\(650\) | −5.03845 | + | 28.5745i | −0.197624 | + | 1.12078i | ||||
\(651\) | 1.42876 | + | 6.91523i | 0.0559976 | + | 0.271029i | ||||
\(652\) | −1.86837 | − | 0.680029i | −0.0731708 | − | 0.0266320i | ||||
\(653\) | −30.8528 | − | 11.2295i | −1.20736 | − | 0.439445i | −0.341576 | − | 0.939854i | \(-0.610961\pi\) |
−0.865789 | + | 0.500409i | \(0.833183\pi\) | |||||||
\(654\) | −3.02985 | − | 24.6140i | −0.118476 | − | 0.962484i | ||||
\(655\) | 0.348107 | − | 1.97421i | 0.0136017 | − | 0.0771389i | ||||
\(656\) | 8.40301 | 0.328082 | ||||||||
\(657\) | −20.5089 | − | 9.98736i | −0.800128 | − | 0.389644i | ||||
\(658\) | −25.1924 | + | 11.5639i | −0.982101 | + | 0.450806i | ||||
\(659\) | −19.8827 | − | 16.6836i | −0.774522 | − | 0.649901i | 0.167341 | − | 0.985899i | \(-0.446482\pi\) |
−0.941863 | + | 0.335998i | \(0.890926\pi\) | |||||||
\(660\) | 1.87400 | − | 2.88763i | 0.0729453 | − | 0.112401i | ||||
\(661\) | 0.213470 | + | 0.0776966i | 0.00830301 | + | 0.00302205i | 0.346168 | − | 0.938172i | \(-0.387483\pi\) |
−0.337865 | + | 0.941194i | \(0.609705\pi\) | |||||||
\(662\) | 10.4518 | + | 3.80416i | 0.406222 | + | 0.147853i | ||||
\(663\) | 10.5757 | + | 20.7404i | 0.410727 | + | 0.805489i | ||||
\(664\) | 1.53683 | + | 1.28955i | 0.0596405 | + | 0.0500443i | ||||
\(665\) | −3.48962 | + | 1.60181i | −0.135321 | + | 0.0621156i | ||||
\(666\) | −12.7055 | − | 28.4903i | −0.492330 | − | 1.10398i | ||||
\(667\) | −18.8668 | −0.730525 | ||||||||
\(668\) | 2.86024 | − | 16.2212i | 0.110666 | − | 0.627618i | ||||
\(669\) | 7.72303 | − | 5.82342i | 0.298590 | − | 0.225146i | ||||
\(670\) | −1.89487 | − | 0.689675i | −0.0732051 | − | 0.0266445i | ||||
\(671\) | −20.7066 | − | 7.53660i | −0.799371 | − | 0.290947i | ||||
\(672\) | −4.35015 | − | 1.44089i | −0.167811 | − | 0.0555837i | ||||
\(673\) | 2.17438 | − | 12.3315i | 0.0838161 | − | 0.475345i | −0.913790 | − | 0.406188i | \(-0.866858\pi\) |
0.997606 | − | 0.0691572i | \(-0.0220310\pi\) | |||||||
\(674\) | −9.10967 | − | 15.7784i | −0.350892 | − | 0.607762i | ||||
\(675\) | −24.0457 | + | 4.69688i | −0.925521 | + | 0.180783i | ||||
\(676\) | −12.4343 | + | 21.5368i | −0.478241 | + | 0.828338i | ||||
\(677\) | 2.83704 | − | 1.03260i | 0.109036 | − | 0.0396860i | −0.286926 | − | 0.957953i | \(-0.592633\pi\) |
0.395962 | + | 0.918267i | \(0.370411\pi\) | |||||||
\(678\) | 5.37517 | − | 23.3149i | 0.206432 | − | 0.895403i | ||||
\(679\) | 19.6990 | − | 1.60438i | 0.755977 | − | 0.0615705i | ||||
\(680\) | −0.893168 | + | 0.749457i | −0.0342514 | + | 0.0287403i | ||||
\(681\) | 0.132628 | − | 0.100006i | 0.00508232 | − | 0.00383224i | ||||
\(682\) | −0.996260 | + | 5.65007i | −0.0381488 | + | 0.216352i | ||||
\(683\) | 16.8637 | + | 29.2087i | 0.645270 | + | 1.11764i | 0.984239 | + | 0.176843i | \(0.0565883\pi\) |
−0.338969 | + | 0.940797i | \(0.610078\pi\) | |||||||
\(684\) | 2.24339 | − | 7.84169i | 0.0857781 | − | 0.299835i | ||||
\(685\) | −1.13495 | − | 1.96580i | −0.0433643 | − | 0.0751092i | ||||
\(686\) | −16.6414 | − | 8.12789i | −0.635373 | − | 0.310324i | ||||
\(687\) | 16.8301 | − | 25.9334i | 0.642109 | − | 0.989422i | ||||
\(688\) | 4.99996 | − | 4.19547i | 0.190622 | − | 0.159951i | ||||
\(689\) | −45.7292 | − | 16.6441i | −1.74214 | − | 0.634088i | ||||
\(690\) | 0.749324 | + | 1.46952i | 0.0285263 | + | 0.0559438i | ||||
\(691\) | 2.36432 | − | 13.4087i | 0.0899428 | − | 0.510091i | −0.906237 | − | 0.422769i | \(-0.861058\pi\) |
0.996180 | − | 0.0873218i | \(-0.0278308\pi\) | |||||||
\(692\) | 4.05104 | + | 7.01662i | 0.153998 | + | 0.266732i | ||||
\(693\) | 4.46567 | + | 29.2134i | 0.169637 | + | 1.10973i | ||||
\(694\) | 6.19387 | − | 10.7281i | 0.235116 | − | 0.407233i | ||||
\(695\) | 1.04833 | + | 0.879651i | 0.0397653 | + | 0.0333671i | ||||
\(696\) | 16.8622 | + | 7.15151i | 0.639161 | + | 0.271077i | ||||
\(697\) | 3.18719 | + | 18.0755i | 0.120723 | + | 0.684657i | ||||
\(698\) | −0.465111 | − | 2.63777i | −0.0176047 | − | 0.0998412i | ||||
\(699\) | 0.882851 | − | 3.82938i | 0.0333925 | − | 0.144841i | ||||
\(700\) | 8.87385 | − | 8.76798i | 0.335400 | − | 0.331398i | ||||
\(701\) | 24.7530 | 0.934907 | 0.467454 | − | 0.884018i | \(-0.345171\pi\) | ||||
0.467454 | + | 0.884018i | \(0.345171\pi\) | |||||||
\(702\) | −31.5867 | − | 4.97319i | −1.19216 | − | 0.187701i | ||||
\(703\) | −14.1353 | + | 24.4830i | −0.533123 | + | 0.923395i | ||||
\(704\) | −2.85221 | − | 2.39329i | −0.107497 | − | 0.0902006i | ||||
\(705\) | −7.08641 | − | 6.60414i | −0.266890 | − | 0.248726i | ||||
\(706\) | −7.17389 | − | 2.61108i | −0.269993 | − | 0.0982694i | ||||
\(707\) | −2.62120 | − | 3.79168i | −0.0985802 | − | 0.142601i | ||||
\(708\) | 4.51847 | + | 1.91635i | 0.169815 | + | 0.0720209i | ||||
\(709\) | 6.95426 | + | 5.83531i | 0.261173 | + | 0.219150i | 0.763966 | − | 0.645257i | \(-0.223250\pi\) |
−0.502793 | + | 0.864407i | \(0.667694\pi\) | |||||||
\(710\) | 2.44575 | + | 4.23616i | 0.0917873 | + | 0.158980i | ||||
\(711\) | −26.0868 | + | 35.9515i | −0.978332 | + | 1.34829i | ||||
\(712\) | −1.91914 | + | 3.32405i | −0.0719229 | + | 0.124574i | ||||
\(713\) | −2.10598 | − | 1.76713i | −0.0788696 | − | 0.0661795i | ||||
\(714\) | 1.44949 | − | 9.90400i | 0.0542457 | − | 0.370648i | ||||
\(715\) | 2.12380 | + | 12.0447i | 0.0794256 | + | 0.450445i | ||||
\(716\) | −3.47706 | + | 2.91760i | −0.129944 | + | 0.109036i | ||||
\(717\) | 28.4588 | + | 1.48275i | 1.06281 | + | 0.0553744i | ||||
\(718\) | 5.51580 | − | 2.00759i | 0.205848 | − | 0.0749225i | ||||
\(719\) | −21.5592 | + | 37.3417i | −0.804024 | + | 1.39261i | 0.112924 | + | 0.993604i | \(0.463978\pi\) |
−0.916948 | + | 0.399007i | \(0.869355\pi\) | |||||||
\(720\) | −0.112683 | − | 1.59742i | −0.00419943 | − | 0.0595324i | ||||
\(721\) | −7.56008 | + | 3.47024i | −0.281552 | + | 0.129239i | ||||
\(722\) | 10.9083 | − | 3.97028i | 0.405964 | − | 0.147759i | ||||
\(723\) | 28.6092 | + | 12.1336i | 1.06399 | + | 0.451253i | ||||
\(724\) | −0.713855 | − | 4.04847i | −0.0265302 | − | 0.150460i | ||||
\(725\) | −38.1956 | + | 32.0499i | −1.41855 | + | 1.19030i | ||||
\(726\) | −1.11402 | + | 4.83206i | −0.0413450 | + | 0.179335i | ||||
\(727\) | 8.91327 | − | 50.5497i | 0.330575 | − | 1.87478i | −0.136611 | − | 0.990625i | \(-0.543621\pi\) |
0.467186 | − | 0.884159i | \(-0.345268\pi\) | |||||||
\(728\) | 14.7969 | − | 6.79209i | 0.548408 | − | 0.251732i | ||||
\(729\) | −5.66198 | − | 26.3997i | −0.209703 | − | 0.977765i | ||||
\(730\) | 2.02945 | + | 3.51510i | 0.0751132 | + | 0.130100i | ||||
\(731\) | 10.9212 | + | 9.16396i | 0.403935 | + | 0.338941i | ||||
\(732\) | −9.80193 | + | 3.00002i | −0.362290 | + | 0.110884i | ||||
\(733\) | 2.55769 | + | 14.5054i | 0.0944706 | + | 0.535769i | 0.994908 | + | 0.100784i | \(0.0321352\pi\) |
−0.900438 | + | 0.434985i | \(0.856754\pi\) | |||||||
\(734\) | 24.7000 | − | 20.7258i | 0.911694 | − | 0.765002i | ||||
\(735\) | 0.414286 | − | 6.45867i | 0.0152812 | − | 0.238232i | ||||
\(736\) | 1.67653 | − | 0.610208i | 0.0617978 | − | 0.0224926i | ||||
\(737\) | 14.0652 | 0.518098 | ||||||||
\(738\) | −22.6645 | − | 11.0371i | −0.834290 | − | 0.406280i | ||||
\(739\) | −22.7035 | −0.835163 | −0.417582 | − | 0.908639i | \(-0.637122\pi\) | ||||
−0.417582 | + | 0.908639i | \(0.637122\pi\) | |||||||
\(740\) | −0.963851 | + | 5.46627i | −0.0354319 | + | 0.200944i | ||||
\(741\) | 13.1637 | + | 25.8157i | 0.483580 | + | 0.948364i | ||||
\(742\) | 11.8977 | + | 17.2106i | 0.436778 | + | 0.631820i | ||||
\(743\) | 0.754568 | + | 4.27937i | 0.0276824 | + | 0.156995i | 0.995516 | − | 0.0945983i | \(-0.0301567\pi\) |
−0.967833 | + | 0.251593i | \(0.919046\pi\) | |||||||
\(744\) | 1.21239 | + | 2.37765i | 0.0444483 | + | 0.0871689i | ||||
\(745\) | −5.55432 | + | 2.02161i | −0.203494 | + | 0.0740659i | ||||
\(746\) | −7.89501 | −0.289057 | ||||||||
\(747\) | −2.45132 | − | 5.49673i | −0.0896893 | − | 0.201115i | ||||
\(748\) | 4.06632 | − | 7.04307i | 0.148679 | − | 0.257520i | ||||
\(749\) | 33.6539 | + | 9.23433i | 1.22969 | + | 0.337415i | ||||
\(750\) | 8.26922 | + | 3.50710i | 0.301949 | + | 0.128061i | ||||
\(751\) | 4.32897 | + | 1.57562i | 0.157966 | + | 0.0574950i | 0.419793 | − | 0.907620i | \(-0.362103\pi\) |
−0.261827 | + | 0.965115i | \(0.584325\pi\) | |||||||
\(752\) | −8.02588 | + | 6.73451i | −0.292674 | + | 0.245582i | ||||
\(753\) | 0.0537129 | − | 0.232981i | 0.00195741 | − | 0.00849028i | ||||
\(754\) | −61.1500 | + | 22.2568i | −2.22695 | + | 0.810544i | ||||
\(755\) | 0.775225 | 0.0282133 | ||||||||
\(756\) | 9.84060 | + | 9.60014i | 0.357899 | + | 0.349154i | ||||
\(757\) | −19.5732 | −0.711398 | −0.355699 | − | 0.934600i | \(-0.615757\pi\) | ||||
−0.355699 | + | 0.934600i | \(0.615757\pi\) | |||||||
\(758\) | −6.94856 | + | 2.52907i | −0.252383 | + | 0.0918600i | ||||
\(759\) | −8.41717 | − | 7.84434i | −0.305524 | − | 0.284731i | ||||
\(760\) | −1.11173 | + | 0.932856i | −0.0403268 | + | 0.0338382i | ||||
\(761\) | 25.9189 | + | 9.43372i | 0.939561 | + | 0.341972i | 0.765992 | − | 0.642850i | \(-0.222248\pi\) |
0.173568 | + | 0.984822i | \(0.444470\pi\) | |||||||
\(762\) | 4.31915 | + | 35.0881i | 0.156466 | + | 1.27111i | ||||
\(763\) | −9.58491 | − | 36.6497i | −0.346997 | − | 1.32681i | ||||
\(764\) | 7.39057 | − | 12.8008i | 0.267382 | − | 0.463118i | ||||
\(765\) | 3.39342 | − | 0.848277i | 0.122690 | − | 0.0306695i | ||||
\(766\) | 32.3272 | 1.16803 | ||||||||
\(767\) | −16.3860 | + | 5.96403i | −0.591665 | + | 0.215349i | ||||
\(768\) | −1.72970 | − | 0.0901205i | −0.0624153 | − | 0.00325194i | ||||
\(769\) | 6.13303 | + | 34.7821i | 0.221163 | + | 1.25428i | 0.869886 | + | 0.493252i | \(0.164192\pi\) |
−0.648724 | + | 0.761024i | \(0.724697\pi\) | |||||||
\(770\) | 2.25085 | − | 4.75230i | 0.0811151 | − | 0.171261i | ||||
\(771\) | −19.2195 | + | 29.6153i | −0.692175 | + | 1.06657i | ||||
\(772\) | −0.882494 | + | 5.00487i | −0.0317617 | + | 0.180129i | ||||
\(773\) | 16.7767 | 0.603416 | 0.301708 | − | 0.953400i | \(-0.402443\pi\) | ||||
0.301708 | + | 0.953400i | \(0.402443\pi\) | |||||||
\(774\) | −18.9964 | + | 4.74866i | −0.682812 | + | 0.170687i | ||||
\(775\) | −7.26543 | −0.260982 | ||||||||
\(776\) | 7.01966 | − | 2.55495i | 0.251991 | − | 0.0917173i | ||||
\(777\) | −25.0207 | − | 40.5536i | −0.897612 | − | 1.45485i | ||||
\(778\) | −13.0512 | + | 10.9512i | −0.467907 | + | 0.392621i | ||||
\(779\) | 3.96713 | + | 22.4987i | 0.142137 | + | 0.806099i | ||||
\(780\) | 4.16224 | + | 3.87897i | 0.149032 | + | 0.138890i | ||||
\(781\) | −26.1365 | − | 21.9311i | −0.935238 | − | 0.784758i | ||||
\(782\) | 1.94850 | + | 3.37489i | 0.0696781 | + | 0.120686i | ||||
\(783\) | −36.0872 | − | 41.4369i | −1.28965 | − | 1.48083i | ||||
\(784\) | −6.87857 | − | 1.29818i | −0.245663 | − | 0.0463637i | ||||
\(785\) | 1.15881 | − | 6.57192i | 0.0413596 | − | 0.234562i | ||||
\(786\) | 4.75859 | + | 4.43474i | 0.169733 | + | 0.158182i | ||||
\(787\) | −4.67532 | + | 3.92306i | −0.166657 | + | 0.139842i | −0.722302 | − | 0.691578i | \(-0.756916\pi\) |
0.555645 | + | 0.831420i | \(0.312471\pi\) | |||||||
\(788\) | −0.656650 | − | 3.72405i | −0.0233922 | − | 0.132664i | ||||
\(789\) | −3.27529 | − | 26.6079i | −0.116603 | − | 0.947266i | ||||
\(790\) | 7.42691 | − | 2.70317i | 0.264237 | − | 0.0961746i | ||||
\(791\) | 3.40382 | − | 36.3895i | 0.121026 | − | 1.29386i | ||||
\(792\) | 4.54944 | + | 10.2014i | 0.161657 | + | 0.362492i | ||||
\(793\) | 18.2098 | − | 31.5403i | 0.646648 | − | 1.12003i | ||||
\(794\) | −22.7225 | + | 8.27032i | −0.806392 | + | 0.293503i | ||||
\(795\) | −3.98024 | + | 6.13314i | −0.141165 | + | 0.217520i | ||||
\(796\) | 16.1232 | − | 13.5290i | 0.571473 | − | 0.479523i | ||||
\(797\) | −9.28900 | − | 52.6805i | −0.329033 | − | 1.86604i | −0.479667 | − | 0.877451i | \(-0.659243\pi\) |
0.150634 | − | 0.988590i | \(-0.451869\pi\) | |||||||
\(798\) | 1.80419 | − | 12.3276i | 0.0638677 | − | 0.436392i | ||||
\(799\) | −17.5306 | − | 14.7099i | −0.620186 | − | 0.520398i | ||||
\(800\) | 2.35753 | − | 4.08336i | 0.0833513 | − | 0.144369i | ||||
\(801\) | 9.54232 | − | 6.44486i | 0.337161 | − | 0.227718i | ||||
\(802\) | 8.23603 | + | 14.2652i | 0.290824 | + | 0.503722i | ||||
\(803\) | −21.6877 | − | 18.1981i | −0.765343 | − | 0.642199i | ||||
\(804\) | 5.22428 | − | 3.93928i | 0.184246 | − | 0.138928i | ||||
\(805\) | 1.43284 | + | 2.07266i | 0.0505009 | + | 0.0730518i | ||||
\(806\) | −8.91044 | − | 3.24314i | −0.313857 | − | 0.114235i | ||||
\(807\) | −10.6011 | + | 45.9826i | −0.373178 | + | 1.61866i | ||||
\(808\) | −1.33462 | − | 1.11988i | −0.0469519 | − | 0.0393973i | ||||
\(809\) | 22.7376 | − | 39.3827i | 0.799411 | − | 1.38462i | −0.120589 | − | 0.992703i | \(-0.538478\pi\) |
0.920000 | − | 0.391918i | \(-0.128188\pi\) | |||||||
\(810\) | −1.79423 | + | 4.45654i | −0.0630429 | + | 0.156587i | ||||
\(811\) | 22.6718 | 0.796114 | 0.398057 | − | 0.917361i | \(-0.369685\pi\) | ||||
0.398057 | + | 0.917361i | \(0.369685\pi\) | |||||||
\(812\) | 26.9810 | + | 7.40335i | 0.946847 | + | 0.259807i | ||||
\(813\) | 8.15678 | + | 7.60166i | 0.286071 | + | 0.266602i | ||||
\(814\) | −6.72298 | − | 38.1279i | −0.235640 | − | 1.33638i | ||||
\(815\) | −0.184299 | − | 1.04521i | −0.00645570 | − | 0.0366121i | ||||
\(816\) | −0.462207 | − | 3.75490i | −0.0161805 | − | 0.131448i | ||||
\(817\) | 13.5937 | + | 11.4065i | 0.475583 | + | 0.399062i | ||||
\(818\) | 5.09944 | − | 8.83249i | 0.178298 | − | 0.308821i | ||||
\(819\) | −48.8311 | − | 1.11568i | −1.70630 | − | 0.0389848i | ||||
\(820\) | 2.24275 | + | 3.88456i | 0.0783202 | + | 0.135655i | ||||
\(821\) | −1.62714 | + | 9.22797i | −0.0567876 | + | 0.322058i | −0.999947 | − | 0.0102819i | \(-0.996727\pi\) |
0.943160 | + | 0.332340i | \(0.107838\pi\) | |||||||
\(822\) | 7.35536 | + | 0.383227i | 0.256548 | + | 0.0133666i | ||||
\(823\) | −10.9845 | − | 3.99804i | −0.382897 | − | 0.139363i | 0.143398 | − | 0.989665i | \(-0.454197\pi\) |
−0.526295 | + | 0.850302i | \(0.676419\pi\) | |||||||
\(824\) | −2.40852 | + | 2.02099i | −0.0839047 | + | 0.0704044i | ||||
\(825\) | −30.3660 | − | 1.58212i | −1.05721 | − | 0.0550823i | ||||
\(826\) | 7.22994 | + | 1.98383i | 0.251562 | + | 0.0690264i | ||||
\(827\) | −20.2574 | − | 35.0868i | −0.704417 | − | 1.22009i | −0.966901 | − | 0.255150i | \(-0.917875\pi\) |
0.262484 | − | 0.964936i | \(-0.415458\pi\) | |||||||
\(828\) | −5.32341 | − | 0.556227i | −0.185001 | − | 0.0193302i | ||||
\(829\) | −24.5799 | − | 42.5737i | −0.853697 | − | 1.47865i | −0.877849 | − | 0.478938i | \(-0.841022\pi\) |
0.0241522 | − | 0.999708i | \(-0.492311\pi\) | |||||||
\(830\) | −0.185959 | + | 1.05463i | −0.00645473 | + | 0.0366066i | ||||
\(831\) | −0.105817 | − | 0.859643i | −0.00367076 | − | 0.0298207i | ||||
\(832\) | 4.71404 | − | 3.95555i | 0.163430 | − | 0.137134i | ||||
\(833\) | 0.183501 | − | 15.2887i | 0.00635794 | − | 0.529721i | ||||
\(834\) | −4.24603 | + | 1.29956i | −0.147028 | + | 0.0450001i | ||||
\(835\) | 8.26216 | − | 3.00718i | 0.285924 | − | 0.104068i | ||||
\(836\) | 5.06138 | − | 8.76658i | 0.175052 | − | 0.303198i | ||||
\(837\) | −0.147068 | − | 8.00540i | −0.00508343 | − | 0.276707i | ||||
\(838\) | 17.8803 | + | 30.9696i | 0.617666 | + | 1.06983i | ||||
\(839\) | −7.70527 | + | 43.6987i | −0.266015 | + | 1.50865i | 0.500113 | + | 0.865960i | \(0.333292\pi\) |
−0.766128 | + | 0.642688i | \(0.777819\pi\) | |||||||
\(840\) | −0.494950 | − | 2.39557i | −0.0170774 | − | 0.0826549i | ||||
\(841\) | −77.8311 | − | 28.3282i | −2.68383 | − | 0.976835i | ||||
\(842\) | −30.9371 | − | 11.2602i | −1.06616 | − | 0.388052i | ||||
\(843\) | −32.9820 | − | 13.9882i | −1.13596 | − | 0.481778i | ||||
\(844\) | −0.0915661 | + | 0.519297i | −0.00315184 | + | 0.0178750i | ||||
\(845\) | −13.2747 | −0.456665 | ||||||||
\(846\) | 30.4928 | − | 7.62250i | 1.04837 | − | 0.262067i | ||||
\(847\) | −0.705451 | + | 7.54180i | −0.0242396 | + | 0.259139i | ||||
\(848\) | 6.05791 | + | 5.08319i | 0.208029 | + | 0.174557i | ||||
\(849\) | 39.7360 | + | 2.07031i | 1.36374 | + | 0.0710529i | ||||
\(850\) | 9.67779 | + | 3.52243i | 0.331945 | + | 0.120818i | ||||
\(851\) | 17.4331 | + | 6.34515i | 0.597601 | + | 0.217509i | ||||
\(852\) | −15.8503 | − | 0.825827i | −0.543022 | − | 0.0282924i | ||||
\(853\) | 16.8048 | + | 14.1009i | 0.575385 | + | 0.482806i | 0.883428 | − | 0.468567i | \(-0.155230\pi\) |
−0.308043 | + | 0.951373i | \(0.599674\pi\) | |||||||
\(854\) | −14.2307 | + | 6.53220i | −0.486964 | + | 0.223527i | ||||
\(855\) | 4.22383 | − | 1.05586i | 0.144452 | − | 0.0361096i | ||||
\(856\) | 13.1901 | 0.450829 | ||||||||
\(857\) | −1.97234 | + | 11.1857i | −0.0673740 | + | 0.382097i | 0.932412 | + | 0.361398i | \(0.117700\pi\) |
−0.999786 | + | 0.0206992i | \(0.993411\pi\) | |||||||
\(858\) | −36.5351 | − | 15.4951i | −1.24729 | − | 0.528993i | ||||
\(859\) | 33.1701 | + | 12.0729i | 1.13175 | + | 0.411922i | 0.838926 | − | 0.544245i | \(-0.183184\pi\) |
0.292821 | + | 0.956167i | \(0.405406\pi\) | |||||||
\(860\) | 3.27397 | + | 1.19163i | 0.111641 | + | 0.0406341i | ||||
\(861\) | −36.5544 | − | 12.1078i | −1.24577 | − | 0.412634i | ||||
\(862\) | 0.358364 | − | 2.03238i | 0.0122059 | − | 0.0692233i | ||||
\(863\) | 2.87507 | + | 4.97977i | 0.0978685 | + | 0.169513i | 0.910802 | − | 0.412843i | \(-0.135464\pi\) |
−0.812934 | + | 0.582356i | \(0.802131\pi\) | |||||||
\(864\) | 4.54696 | + | 2.51498i | 0.154691 | + | 0.0855614i | ||||
\(865\) | −2.16243 | + | 3.74545i | −0.0735250 | + | 0.127349i | ||||
\(866\) | −27.3019 | + | 9.93707i | −0.927756 | + | 0.337675i | ||||
\(867\) | −20.2539 | + | 6.19900i | −0.687859 | + | 0.210529i | ||||
\(868\) | 2.31830 | + | 3.35352i | 0.0786881 | + | 0.113826i | ||||
\(869\) | −42.2307 | + | 35.4358i | −1.43258 | + | 1.20208i | ||||
\(870\) | 1.19449 | + | 9.70382i | 0.0404969 | + | 0.328990i | ||||
\(871\) | −4.03670 | + | 22.8933i | −0.136778 | + | 0.775709i | ||||
\(872\) | −7.15909 | − | 12.3999i | −0.242437 | − | 0.419914i | ||||
\(873\) | −22.2892 | − | 2.32893i | −0.754374 | − | 0.0788222i | ||||
\(874\) | 2.42531 | + | 4.20076i | 0.0820374 | + | 0.142093i | ||||
\(875\) | 13.2315 | + | 3.63060i | 0.447305 | + | 0.122737i | ||||
\(876\) | −13.1524 | − | 0.685260i | −0.444377 | − | 0.0231528i | ||||
\(877\) | −6.29198 | + | 5.27960i | −0.212465 | + | 0.178279i | −0.742809 | − | 0.669503i | \(-0.766507\pi\) |
0.530344 | + | 0.847782i | \(0.322063\pi\) | |||||||
\(878\) | −33.1094 | − | 12.0508i | −1.11739 | − | 0.406696i | ||||
\(879\) | 55.8047 | + | 2.90752i | 1.88224 | + | 0.0980681i | ||||
\(880\) | 0.345123 | − | 1.95729i | 0.0116341 | − | 0.0659803i | ||||
\(881\) | 25.0282 | + | 43.3501i | 0.843221 | + | 1.46050i | 0.887157 | + | 0.461468i | \(0.152677\pi\) |
−0.0439356 | + | 0.999034i | \(0.513990\pi\) | |||||||
\(882\) | 16.8476 | + | 12.5362i | 0.567290 | + | 0.422116i | ||||
\(883\) | −1.24292 | + | 2.15280i | −0.0418276 | + | 0.0724474i | −0.886181 | − | 0.463339i | \(-0.846651\pi\) |
0.844354 | + | 0.535786i | \(0.179985\pi\) | |||||||
\(884\) | 10.2967 | + | 8.63992i | 0.346314 | + | 0.290592i | ||||
\(885\) | 0.320080 | + | 2.60028i | 0.0107594 | + | 0.0874074i | ||||
\(886\) | −1.05504 | − | 5.98344i | −0.0354448 | − | 0.201018i | ||||
\(887\) | 8.20600 | + | 46.5386i | 0.275531 | + | 1.56261i | 0.737271 | + | 0.675597i | \(0.236114\pi\) |
−0.461741 | + | 0.887015i | \(0.652775\pi\) | |||||||
\(888\) | −13.1757 | − | 12.2791i | −0.442149 | − | 0.412059i | ||||
\(889\) | 13.6636 | + | 52.2453i | 0.458262 | + | 1.75225i | ||||
\(890\) | −2.04887 | −0.0686781 | ||||||||
\(891\) | 1.12858 | − | 33.4907i | 0.0378088 | − | 1.12198i | ||||
\(892\) | 2.79221 | − | 4.83626i | 0.0934902 | − | 0.161930i | ||||
\(893\) | −21.8205 | − | 18.3095i | −0.730194 | − | 0.612705i | ||||
\(894\) | 4.30867 | − | 18.6889i | 0.144103 | − | 0.625051i | ||||
\(895\) | −2.27678 | − | 0.828678i | −0.0761042 | − | 0.0276997i | ||||
\(896\) | −2.63702 | + | 0.214772i | −0.0880966 | + | 0.00717502i | ||||
\(897\) | 15.1836 | − | 11.4489i | 0.506966 | − | 0.382269i | ||||
\(898\) | −12.4288 | − | 10.4290i | −0.414754 | − | 0.348020i | ||||
\(899\) | −8.14734 | − | 14.1116i | −0.271729 | − | 0.470649i | ||||
\(900\) | −11.7221 | + | 7.91704i | −0.390735 | + | 0.263901i | ||||
\(901\) | −8.63658 | + | 14.9590i | −0.287726 | + | 0.498356i | ||||
\(902\) | −23.9672 | − | 20.1109i | −0.798020 | − | 0.669618i | ||||
\(903\) | −27.7958 | + | 11.0465i | −0.924987 | + | 0.367605i | ||||
\(904\) | −2.39877 | − | 13.6041i | −0.0797819 | − | 0.452465i | ||||
\(905\) | 1.68101 | − | 1.41053i | 0.0558785 | − | 0.0468877i | ||||
\(906\) | −1.36936 | + | 2.11004i | −0.0454938 | + | 0.0701012i | ||||
\(907\) | 2.30769 | − | 0.839931i | 0.0766257 | − | 0.0278895i | −0.303423 | − | 0.952856i | \(-0.598129\pi\) |
0.380049 | + | 0.924967i | \(0.375907\pi\) | |||||||
\(908\) | 0.0479509 | − | 0.0830533i | 0.00159131 | − | 0.00275622i | ||||
\(909\) | 2.12880 | + | 4.77352i | 0.0706078 | + | 0.158328i | ||||
\(910\) | 7.08912 | + | 5.02752i | 0.235002 | + | 0.166661i | ||||
\(911\) | 29.9239 | − | 10.8914i | 0.991422 | − | 0.360848i | 0.205151 | − | 0.978730i | \(-0.434231\pi\) |
0.786271 | + | 0.617882i | \(0.212009\pi\) | |||||||
\(912\) | −0.575314 | − | 4.67376i | −0.0190505 | − | 0.154764i | ||||
\(913\) | −1.29709 | − | 7.35616i | −0.0429274 | − | 0.243453i | ||||
\(914\) | 24.6907 | − | 20.7180i | 0.816697 | − | 0.685290i | ||||
\(915\) | −4.00298 | − | 3.73055i | −0.132334 | − | 0.123328i | ||||
\(916\) | 3.09950 | − | 17.5782i | 0.102410 | − | 0.580799i | ||||
\(917\) | 8.10483 | + | 5.74785i | 0.267645 | + | 0.189811i | ||||
\(918\) | −3.68528 | + | 10.7347i | −0.121632 | + | 0.354299i | ||||
\(919\) | −9.85716 | − | 17.0731i | −0.325158 | − | 0.563190i | 0.656387 | − | 0.754425i | \(-0.272084\pi\) |
−0.981544 | + | 0.191235i | \(0.938751\pi\) | |||||||
\(920\) | 0.729552 | + | 0.612167i | 0.0240526 | + | 0.0201825i | ||||
\(921\) | −0.569990 | − | 0.531199i | −0.0187818 | − | 0.0175036i | ||||
\(922\) | 4.89315 | + | 27.7504i | 0.161147 | + | 0.913911i | ||||
\(923\) | 43.1975 | − | 36.2470i | 1.42186 | − | 1.19309i | ||||
\(924\) | 8.95909 | + | 14.5209i | 0.294732 | + | 0.477703i | ||||
\(925\) | 46.0720 | − | 16.7688i | 1.51484 | − | 0.551356i | ||||
\(926\) | −6.09969 | −0.200448 | ||||||||
\(927\) | 9.15071 | − | 2.28746i | 0.300549 | − | 0.0751302i | ||||
\(928\) | 10.5748 | 0.347134 | ||||||||
\(929\) | −0.529069 | + | 3.00050i | −0.0173582 | + | 0.0984431i | −0.992256 | − | 0.124210i | \(-0.960360\pi\) |
0.974898 | + | 0.222653i | \(0.0714716\pi\) | |||||||
\(930\) | −0.775560 | + | 1.19506i | −0.0254316 | + | 0.0391874i | ||||
\(931\) | 0.228406 | − | 19.0300i | 0.00748569 | − | 0.623682i | ||||
\(932\) | −0.393989 | − | 2.23442i | −0.0129055 | − | 0.0731909i | ||||
\(933\) | −28.3293 | − | 1.47600i | −0.927458 | − | 0.0483221i | ||||
\(934\) | 5.20576 | − | 1.89474i | 0.170338 | − | 0.0619978i | ||||
\(935\) | 4.34117 | 0.141972 | ||||||||
\(936\) | −17.9101 | + | 4.47711i | −0.585410 | + | 0.146339i | ||||
\(937\) | −25.2760 | + | 43.7794i | −0.825732 | + | 1.43021i | 0.0756261 | + | 0.997136i | \(0.475904\pi\) |
−0.901358 | + | 0.433074i | \(0.857429\pi\) | |||||||
\(938\) | 7.10954 | − | 7.02472i | 0.232135 | − | 0.229365i | ||||
\(939\) | 2.03562 | + | 16.5371i | 0.0664300 | + | 0.539667i | ||||
\(940\) | −5.25534 | − | 1.91279i | −0.171410 | − | 0.0623882i | ||||
\(941\) | 16.5551 | − | 13.8914i | 0.539681 | − | 0.452846i | −0.331748 | − | 0.943368i | \(-0.607638\pi\) |
0.871429 | + | 0.490522i | \(0.163194\pi\) | |||||||
\(942\) | 15.8408 | + | 14.7627i | 0.516120 | + | 0.480995i | ||||
\(943\) | 14.0879 | − | 5.12758i | 0.458766 | − | 0.166977i | ||||
\(944\) | 2.83367 | 0.0922280 | ||||||||
\(945\) | −1.81153 | + | 7.11139i | −0.0589290 | + | 0.231333i | ||||
\(946\) | −24.3019 | −0.790124 | ||||||||
\(947\) | −23.2399 | + | 8.45862i | −0.755194 | + | 0.274868i | −0.690790 | − | 0.723056i | \(-0.742737\pi\) |
−0.0644043 | + | 0.997924i | \(0.520515\pi\) | |||||||
\(948\) | −5.76130 | + | 24.9897i | −0.187118 | + | 0.811628i | ||||
\(949\) | 35.8447 | − | 30.0773i | 1.16357 | − | 0.976349i | ||||
\(950\) | 12.0460 | + | 4.38440i | 0.390825 | + | 0.142249i | ||||
\(951\) | −0.132937 | − | 0.0563804i | −0.00431077 | − | 0.00182826i | ||||
\(952\) | −1.46219 | − | 5.59095i | −0.0473898 | − | 0.181204i | ||||
\(953\) | −6.49025 | + | 11.2414i | −0.210240 | + | 0.364146i | −0.951790 | − | 0.306752i | \(-0.900758\pi\) |
0.741550 | + | 0.670898i | \(0.234091\pi\) | |||||||
\(954\) | −9.66269 | − | 21.6672i | −0.312841 | − | 0.701500i | ||||
\(955\) | 7.89013 | 0.255319 | ||||||||
\(956\) | 15.4607 | − | 5.62725i | 0.500036 | − | 0.181998i | ||||
\(957\) | −30.9790 | − | 60.7538i | −1.00141 | − | 1.96389i | ||||
\(958\) | −4.49413 | − | 25.4875i | −0.145199 | − | 0.823462i | ||||
\(959\) | 11.2136 | − | 0.913291i | 0.362106 | − | 0.0294917i | ||||
\(960\) | −0.419994 | − | 0.823664i | −0.0135553 | − | 0.0265836i | ||||
\(961\) | −4.97079 | + | 28.1907i | −0.160348 | + | 0.909379i | ||||
\(962\) | 63.9886 | 2.06308 | ||||||||
\(963\) | −35.5762 | − | 17.3248i | −1.14643 | − | 0.558284i | ||||
\(964\) | 17.9417 | 0.577862 | ||||||||
\(965\) | −2.54920 | + | 0.927832i | −0.0820616 | + | 0.0298680i | ||||
\(966\) | −8.17242 | + | 0.238792i | −0.262943 | + | 0.00768300i | ||||
\(967\) | −2.16173 | + | 1.81391i | −0.0695166 | + | 0.0583314i | −0.676884 | − | 0.736090i | \(-0.736670\pi\) |
0.607367 | + | 0.794421i | \(0.292226\pi\) | |||||||
\(968\) | 0.497150 | + | 2.81948i | 0.0159790 | + | 0.0906215i | ||||
\(969\) | 9.83537 | − | 3.01026i | 0.315957 | − | 0.0967034i | ||||
\(970\) | 3.05464 | + | 2.56315i | 0.0980786 | + | 0.0822977i | ||||
\(971\) | 23.0863 | + | 39.9867i | 0.740875 | + | 1.28323i | 0.952097 | + | 0.305795i | \(0.0989224\pi\) |
−0.211222 | + | 0.977438i | \(0.567744\pi\) | |||||||
\(972\) | −8.96065 | − | 12.7557i | −0.287413 | − | 0.409138i | ||||
\(973\) | −6.16450 | + | 2.82964i | −0.197625 | + | 0.0907141i | ||||
\(974\) | 4.62936 | − | 26.2544i | 0.148334 | − | 0.841245i | ||||
\(975\) | 11.2902 | − | 48.9713i | 0.361575 | − | 1.56834i | ||||
\(976\) | −4.53366 | + | 3.80420i | −0.145119 | + | 0.121769i | ||||
\(977\) | 7.68492 | + | 43.5833i | 0.245862 | + | 1.39435i | 0.818482 | + | 0.574533i | \(0.194816\pi\) |
−0.572619 | + | 0.819821i | \(0.694073\pi\) | |||||||
\(978\) | 3.17044 | + | 1.34463i | 0.101379 | + | 0.0429965i | ||||
\(979\) | 13.4292 | − | 4.88784i | 0.429200 | − | 0.156216i | ||||
\(980\) | −1.23575 | − | 3.52632i | −0.0394747 | − | 0.112644i | ||||
\(981\) | 3.02252 | + | 42.8480i | 0.0965015 | + | 1.36803i | ||||
\(982\) | −4.46253 | + | 7.72933i | −0.142405 | + | 0.246653i | ||||
\(983\) | 2.34910 | − | 0.855002i | 0.0749246 | − | 0.0272703i | −0.304286 | − | 0.952581i | \(-0.598418\pi\) |
0.379211 | + | 0.925310i | \(0.376196\pi\) | |||||||
\(984\) | −14.5347 | − | 0.757283i | −0.463350 | − | 0.0241413i | ||||
\(985\) | 1.54630 | − | 1.29750i | 0.0492692 | − | 0.0413418i | ||||
\(986\) | 4.01093 | + | 22.7471i | 0.127734 | + | 0.724415i | ||||
\(987\) | 44.6175 | − | 17.7317i | 1.42019 | − | 0.564407i | ||||
\(988\) | 12.8163 | + | 10.7542i | 0.407742 | + | 0.342136i | ||||
\(989\) | 5.82249 | − | 10.0849i | 0.185145 | − | 0.320680i | ||||
\(990\) | −3.50170 | + | 4.82587i | −0.111291 | + | 0.153376i | ||||
\(991\) | 3.77332 | + | 6.53558i | 0.119863 | + | 0.207610i | 0.919713 | − | 0.392590i | \(-0.128421\pi\) |
−0.799850 | + | 0.600200i | \(0.795088\pi\) | |||||||
\(992\) | 1.18040 | + | 0.990471i | 0.0374777 | + | 0.0314475i | ||||
\(993\) | −17.7358 | − | 7.52199i | −0.562827 | − | 0.238703i | ||||
\(994\) | −24.1646 | + | 1.96808i | −0.766453 | + | 0.0624237i | ||||
\(995\) | 10.5575 | + | 3.84261i | 0.334695 | + | 0.121819i | ||||
\(996\) | −2.54204 | − | 2.36904i | −0.0805477 | − | 0.0750660i | ||||
\(997\) | −7.80923 | − | 6.55272i | −0.247321 | − | 0.207527i | 0.510697 | − | 0.859761i | \(-0.329387\pi\) |
−0.758018 | + | 0.652234i | \(0.773832\pi\) | |||||||
\(998\) | −18.7518 | + | 32.4791i | −0.593578 | + | 1.02811i | ||||
\(999\) | 19.4093 | + | 50.4248i | 0.614082 | + | 1.59537i |
(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 | 378.2.w.a.25.11 | yes | 72 | |
7.2 | even | 3 | 378.2.v.b.79.6 | yes | 72 | ||
27.13 | even | 9 | 378.2.v.b.67.6 | ✓ | 72 | ||
189.121 | even | 9 | inner | 378.2.w.a.121.11 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.v.b.67.6 | ✓ | 72 | 27.13 | even | 9 | ||
378.2.v.b.79.6 | yes | 72 | 7.2 | even | 3 | ||
378.2.w.a.25.11 | yes | 72 | 1.1 | even | 1 | trivial | |
378.2.w.a.121.11 | yes | 72 | 189.121 | even | 9 | inner |