Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 361.1 | ||
Character | \(\chi\) | \(=\) | 690.361 |
Dual form | 690.2.m.h.151.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.654861 | − | 0.755750i | 0.463056 | − | 0.534396i | ||||
\(3\) | 0.841254 | − | 0.540641i | 0.485698 | − | 0.312139i | ||||
\(4\) | −0.142315 | − | 0.989821i | −0.0711574 | − | 0.494911i | ||||
\(5\) | −0.415415 | − | 0.909632i | −0.185779 | − | 0.406800i | ||||
\(6\) | 0.142315 | − | 0.989821i | 0.0580998 | − | 0.404093i | ||||
\(7\) | −4.28731 | + | 1.25887i | −1.62045 | + | 0.475807i | −0.961139 | − | 0.276064i | \(-0.910970\pi\) |
−0.659311 | + | 0.751871i | \(0.729152\pi\) | |||||||
\(8\) | −0.841254 | − | 0.540641i | −0.297428 | − | 0.191145i | ||||
\(9\) | 0.415415 | − | 0.909632i | 0.138472 | − | 0.303211i | ||||
\(10\) | −0.959493 | − | 0.281733i | −0.303418 | − | 0.0890917i | ||||
\(11\) | 0.0345508 | + | 0.0398737i | 0.0104175 | + | 0.0120224i | 0.760934 | − | 0.648829i | \(-0.224741\pi\) |
−0.750517 | + | 0.660851i | \(0.770195\pi\) | |||||||
\(12\) | −0.654861 | − | 0.755750i | −0.189042 | − | 0.218166i | ||||
\(13\) | −4.11803 | − | 1.20916i | −1.14214 | − | 0.335361i | −0.344669 | − | 0.938724i | \(-0.612009\pi\) |
−0.797467 | + | 0.603363i | \(0.793827\pi\) | |||||||
\(14\) | −1.85620 | + | 4.06451i | −0.496091 | + | 1.08629i | ||||
\(15\) | −0.841254 | − | 0.540641i | −0.217211 | − | 0.139593i | ||||
\(16\) | −0.959493 | + | 0.281733i | −0.239873 | + | 0.0704331i | ||||
\(17\) | 0.686059 | − | 4.77165i | 0.166394 | − | 1.15729i | −0.719869 | − | 0.694110i | \(-0.755798\pi\) |
0.886262 | − | 0.463184i | \(-0.153293\pi\) | |||||||
\(18\) | −0.415415 | − | 0.909632i | −0.0979143 | − | 0.214402i | ||||
\(19\) | −0.891667 | − | 6.20168i | −0.204562 | − | 1.42276i | −0.790527 | − | 0.612427i | \(-0.790194\pi\) |
0.585965 | − | 0.810336i | \(-0.300716\pi\) | |||||||
\(20\) | −0.841254 | + | 0.540641i | −0.188110 | + | 0.120891i | ||||
\(21\) | −2.92612 | + | 3.37692i | −0.638531 | + | 0.736904i | ||||
\(22\) | 0.0527605 | 0.0112486 | ||||||||
\(23\) | −2.00569 | − | 4.35629i | −0.418215 | − | 0.908348i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −0.654861 | + | 0.755750i | −0.130972 | + | 0.151150i | ||||
\(26\) | −3.61056 | + | 2.32037i | −0.708089 | + | 0.455061i | ||||
\(27\) | −0.142315 | − | 0.989821i | −0.0273885 | − | 0.190491i | ||||
\(28\) | 1.85620 | + | 4.06451i | 0.350789 | + | 0.768121i | ||||
\(29\) | −0.662618 | + | 4.60861i | −0.123045 | + | 0.855797i | 0.831030 | + | 0.556228i | \(0.187752\pi\) |
−0.954075 | + | 0.299569i | \(0.903157\pi\) | |||||||
\(30\) | −0.959493 | + | 0.281733i | −0.175179 | + | 0.0514371i | ||||
\(31\) | 2.42136 | + | 1.55611i | 0.434888 | + | 0.279486i | 0.739713 | − | 0.672923i | \(-0.234961\pi\) |
−0.304824 | + | 0.952409i | \(0.598598\pi\) | |||||||
\(32\) | −0.415415 | + | 0.909632i | −0.0734357 | + | 0.160802i | ||||
\(33\) | 0.0506233 | + | 0.0148644i | 0.00881239 | + | 0.00258755i | ||||
\(34\) | −3.15690 | − | 3.64325i | −0.541403 | − | 0.624813i | ||||
\(35\) | 2.92612 | + | 3.37692i | 0.494604 | + | 0.570804i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | −0.733427 | + | 1.60598i | −0.120575 | + | 0.264022i | −0.960289 | − | 0.279006i | \(-0.909995\pi\) |
0.839715 | + | 0.543028i | \(0.182722\pi\) | |||||||
\(38\) | −5.27083 | − | 3.38736i | −0.855042 | − | 0.549502i | ||||
\(39\) | −4.11803 | + | 1.20916i | −0.659413 | + | 0.193621i | ||||
\(40\) | −0.142315 | + | 0.989821i | −0.0225020 | + | 0.156505i | ||||
\(41\) | 4.24660 | + | 9.29876i | 0.663207 | + | 1.45222i | 0.879503 | + | 0.475894i | \(0.157875\pi\) |
−0.216295 | + | 0.976328i | \(0.569397\pi\) | |||||||
\(42\) | 0.635906 | + | 4.42282i | 0.0981225 | + | 0.682457i | ||||
\(43\) | 9.31589 | − | 5.98696i | 1.42066 | − | 0.913003i | 0.420677 | − | 0.907210i | \(-0.361793\pi\) |
0.999983 | − | 0.00579243i | \(-0.00184380\pi\) | |||||||
\(44\) | 0.0345508 | − | 0.0398737i | 0.00520873 | − | 0.00601119i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | −4.60571 | − | 1.33696i | −0.679074 | − | 0.197125i | ||||
\(47\) | −2.02404 | −0.295236 | −0.147618 | − | 0.989044i | \(-0.547161\pi\) | ||||
−0.147618 | + | 0.989044i | \(0.547161\pi\) | |||||||
\(48\) | −0.654861 | + | 0.755750i | −0.0945210 | + | 0.109083i | ||||
\(49\) | 10.9075 | − | 7.00982i | 1.55821 | − | 1.00140i | ||||
\(50\) | 0.142315 | + | 0.989821i | 0.0201264 | + | 0.139982i | ||||
\(51\) | −2.00260 | − | 4.38508i | −0.280420 | − | 0.614033i | ||||
\(52\) | −0.610798 | + | 4.24820i | −0.0847025 | + | 0.589119i | ||||
\(53\) | 1.07346 | − | 0.315196i | 0.147451 | − | 0.0432955i | −0.207174 | − | 0.978304i | \(-0.566427\pi\) |
0.354625 | + | 0.935009i | \(0.384608\pi\) | |||||||
\(54\) | −0.841254 | − | 0.540641i | −0.114480 | − | 0.0735719i | ||||
\(55\) | 0.0219175 | − | 0.0479926i | 0.00295536 | − | 0.00647133i | ||||
\(56\) | 4.28731 | + | 1.25887i | 0.572916 | + | 0.168223i | ||||
\(57\) | −4.10300 | − | 4.73511i | −0.543456 | − | 0.627181i | ||||
\(58\) | 3.04903 | + | 3.51877i | 0.400357 | + | 0.462037i | ||||
\(59\) | −6.35310 | − | 1.86544i | −0.827103 | − | 0.242859i | −0.159331 | − | 0.987225i | \(-0.550934\pi\) |
−0.667772 | + | 0.744366i | \(0.732752\pi\) | |||||||
\(60\) | −0.415415 | + | 0.909632i | −0.0536298 | + | 0.117433i | ||||
\(61\) | 6.79411 | + | 4.36631i | 0.869896 | + | 0.559048i | 0.897721 | − | 0.440564i | \(-0.145222\pi\) |
−0.0278247 | + | 0.999613i | \(0.508858\pi\) | |||||||
\(62\) | 2.76168 | − | 0.810902i | 0.350734 | − | 0.102985i | ||||
\(63\) | −0.635906 | + | 4.42282i | −0.0801166 | + | 0.557224i | ||||
\(64\) | 0.415415 | + | 0.909632i | 0.0519269 | + | 0.113704i | ||||
\(65\) | 0.610798 | + | 4.24820i | 0.0757602 | + | 0.526924i | ||||
\(66\) | 0.0443850 | − | 0.0285245i | 0.00546341 | − | 0.00351112i | ||||
\(67\) | 7.19410 | − | 8.30243i | 0.878899 | − | 1.01430i | −0.120867 | − | 0.992669i | \(-0.538568\pi\) |
0.999766 | − | 0.0216345i | \(-0.00688702\pi\) | |||||||
\(68\) | −4.82071 | −0.584597 | ||||||||
\(69\) | −4.04248 | − | 2.58038i | −0.486657 | − | 0.310642i | ||||
\(70\) | 4.46831 | 0.534065 | ||||||||
\(71\) | 6.02569 | − | 6.95402i | 0.715118 | − | 0.825290i | −0.275593 | − | 0.961274i | \(-0.588874\pi\) |
0.990711 | + | 0.135984i | \(0.0434196\pi\) | |||||||
\(72\) | −0.841254 | + | 0.540641i | −0.0991427 | + | 0.0637151i | ||||
\(73\) | 1.56332 | + | 10.8732i | 0.182973 | + | 1.27261i | 0.849685 | + | 0.527291i | \(0.176792\pi\) |
−0.666712 | + | 0.745316i | \(0.732299\pi\) | |||||||
\(74\) | 0.733427 | + | 1.60598i | 0.0852592 | + | 0.186692i | ||||
\(75\) | −0.142315 | + | 0.989821i | −0.0164331 | + | 0.114295i | ||||
\(76\) | −6.01166 | + | 1.76518i | −0.689584 | + | 0.202480i | ||||
\(77\) | −0.198326 | − | 0.127456i | −0.0226013 | − | 0.0145250i | ||||
\(78\) | −1.78291 | + | 3.90403i | −0.201875 | + | 0.442045i | ||||
\(79\) | −11.3725 | − | 3.33926i | −1.27950 | − | 0.375696i | −0.429784 | − | 0.902932i | \(-0.641410\pi\) |
−0.849719 | + | 0.527236i | \(0.823229\pi\) | |||||||
\(80\) | 0.654861 | + | 0.755750i | 0.0732157 | + | 0.0844954i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 9.80846 | + | 2.88002i | 1.08316 | + | 0.318045i | ||||
\(83\) | −5.27528 | + | 11.5513i | −0.579038 | + | 1.26792i | 0.362806 | + | 0.931865i | \(0.381819\pi\) |
−0.941844 | + | 0.336051i | \(0.890909\pi\) | |||||||
\(84\) | 3.75898 | + | 2.41575i | 0.410138 | + | 0.263580i | ||||
\(85\) | −4.62544 | + | 1.35815i | −0.501699 | + | 0.147312i | ||||
\(86\) | 1.57597 | − | 10.9611i | 0.169941 | − | 1.18197i | ||||
\(87\) | 1.93417 | + | 4.23525i | 0.207365 | + | 0.454066i | ||||
\(88\) | −0.00750860 | − | 0.0522235i | −0.000800420 | − | 0.00556704i | ||||
\(89\) | 10.3471 | − | 6.64967i | 1.09679 | − | 0.704863i | 0.138413 | − | 0.990375i | \(-0.455800\pi\) |
0.958375 | + | 0.285511i | \(0.0921635\pi\) | |||||||
\(90\) | −0.654861 | + | 0.755750i | −0.0690284 | + | 0.0796630i | ||||
\(91\) | 19.1774 | 2.01034 | ||||||||
\(92\) | −4.02651 | + | 2.60524i | −0.419792 | + | 0.271615i | ||||
\(93\) | 2.87827 | 0.298463 | ||||||||
\(94\) | −1.32546 | + | 1.52967i | −0.136711 | + | 0.157773i | ||||
\(95\) | −5.27083 | + | 3.38736i | −0.540776 | + | 0.347536i | ||||
\(96\) | 0.142315 | + | 0.989821i | 0.0145249 | + | 0.101023i | ||||
\(97\) | −5.80480 | − | 12.7107i | −0.589388 | − | 1.29058i | −0.935811 | − | 0.352501i | \(-0.885331\pi\) |
0.346424 | − | 0.938078i | \(-0.387396\pi\) | |||||||
\(98\) | 1.84522 | − | 12.8338i | 0.186395 | − | 1.29641i | ||||
\(99\) | 0.0506233 | − | 0.0148644i | 0.00508784 | − | 0.00149392i | ||||
\(100\) | 0.841254 | + | 0.540641i | 0.0841254 | + | 0.0540641i | ||||
\(101\) | −1.42313 | + | 3.11623i | −0.141607 | + | 0.310076i | −0.967126 | − | 0.254299i | \(-0.918155\pi\) |
0.825519 | + | 0.564375i | \(0.190883\pi\) | |||||||
\(102\) | −4.62544 | − | 1.35815i | −0.457987 | − | 0.134477i | ||||
\(103\) | −4.92488 | − | 5.68361i | −0.485263 | − | 0.560023i | 0.459331 | − | 0.888265i | \(-0.348089\pi\) |
−0.944594 | + | 0.328242i | \(0.893544\pi\) | |||||||
\(104\) | 2.81058 | + | 3.24359i | 0.275601 | + | 0.318060i | ||||
\(105\) | 4.28731 | + | 1.25887i | 0.418398 | + | 0.122853i | ||||
\(106\) | 0.464757 | − | 1.01768i | 0.0451412 | − | 0.0988455i | ||||
\(107\) | −15.2510 | − | 9.80123i | −1.47437 | − | 0.947520i | −0.997654 | − | 0.0684635i | \(-0.978190\pi\) |
−0.476717 | − | 0.879057i | \(-0.658173\pi\) | |||||||
\(108\) | −0.959493 | + | 0.281733i | −0.0923273 | + | 0.0271097i | ||||
\(109\) | 2.29122 | − | 15.9358i | 0.219459 | − | 1.52637i | −0.520584 | − | 0.853810i | \(-0.674286\pi\) |
0.740043 | − | 0.672560i | \(-0.234805\pi\) | |||||||
\(110\) | −0.0219175 | − | 0.0479926i | −0.00208975 | − | 0.00457592i | ||||
\(111\) | 0.251261 | + | 1.74756i | 0.0238486 | + | 0.165871i | ||||
\(112\) | 3.75898 | − | 2.41575i | 0.355190 | − | 0.228267i | ||||
\(113\) | −3.92299 | + | 4.52737i | −0.369043 | + | 0.425899i | −0.909649 | − | 0.415377i | \(-0.863650\pi\) |
0.540606 | + | 0.841276i | \(0.318195\pi\) | |||||||
\(114\) | −6.26545 | −0.586813 | ||||||||
\(115\) | −3.12942 | + | 3.63410i | −0.291820 | + | 0.338882i | ||||
\(116\) | 4.65600 | 0.432299 | ||||||||
\(117\) | −2.81058 | + | 3.24359i | −0.259839 | + | 0.299870i | ||||
\(118\) | −5.57020 | + | 3.57975i | −0.512778 | + | 0.329543i | ||||
\(119\) | 3.06552 | + | 21.3212i | 0.281016 | + | 1.95451i | ||||
\(120\) | 0.415415 | + | 0.909632i | 0.0379220 | + | 0.0830377i | ||||
\(121\) | 1.56507 | − | 10.8853i | 0.142279 | − | 0.989571i | ||||
\(122\) | 7.74903 | − | 2.27532i | 0.701564 | − | 0.205998i | ||||
\(123\) | 8.59975 | + | 5.52673i | 0.775414 | + | 0.498328i | ||||
\(124\) | 1.19568 | − | 2.61817i | 0.107375 | − | 0.235118i | ||||
\(125\) | 0.959493 | + | 0.281733i | 0.0858197 | + | 0.0251989i | ||||
\(126\) | 2.92612 | + | 3.37692i | 0.260679 | + | 0.300840i | ||||
\(127\) | −2.78636 | − | 3.21564i | −0.247250 | − | 0.285342i | 0.618536 | − | 0.785757i | \(-0.287726\pi\) |
−0.865786 | + | 0.500415i | \(0.833181\pi\) | |||||||
\(128\) | 0.959493 | + | 0.281733i | 0.0848080 | + | 0.0249019i | ||||
\(129\) | 4.60023 | − | 10.0731i | 0.405028 | − | 0.886887i | ||||
\(130\) | 3.61056 | + | 2.32037i | 0.316667 | + | 0.203510i | ||||
\(131\) | −14.9323 | + | 4.38452i | −1.30464 | + | 0.383077i | −0.858927 | − | 0.512098i | \(-0.828868\pi\) |
−0.445714 | + | 0.895175i | \(0.647050\pi\) | |||||||
\(132\) | 0.00750860 | − | 0.0522235i | 0.000653540 | − | 0.00454547i | ||||
\(133\) | 11.6299 | + | 25.4660i | 1.00844 | + | 2.20818i | ||||
\(134\) | −1.56343 | − | 10.8739i | −0.135059 | − | 0.939359i | ||||
\(135\) | −0.841254 | + | 0.540641i | −0.0724036 | + | 0.0465310i | ||||
\(136\) | −3.15690 | + | 3.64325i | −0.270702 | + | 0.312406i | ||||
\(137\) | 13.8784 | 1.18571 | 0.592857 | − | 0.805308i | \(-0.298000\pi\) | ||||
0.592857 | + | 0.805308i | \(0.298000\pi\) | |||||||
\(138\) | −4.59738 | + | 1.36531i | −0.391355 | + | 0.116223i | ||||
\(139\) | 9.91838 | 0.841266 | 0.420633 | − | 0.907231i | \(-0.361808\pi\) | ||||
0.420633 | + | 0.907231i | \(0.361808\pi\) | |||||||
\(140\) | 2.92612 | − | 3.37692i | 0.247302 | − | 0.285402i | ||||
\(141\) | −1.70273 | + | 1.09428i | −0.143396 | + | 0.0921548i | ||||
\(142\) | −1.30951 | − | 9.10783i | −0.109891 | − | 0.764312i | ||||
\(143\) | −0.0940673 | − | 0.205979i | −0.00786631 | − | 0.0172248i | ||||
\(144\) | −0.142315 | + | 0.989821i | −0.0118596 | + | 0.0824851i | ||||
\(145\) | 4.46740 | − | 1.31175i | 0.370997 | − | 0.108935i | ||||
\(146\) | 9.24114 | + | 5.93892i | 0.764802 | + | 0.491509i | ||||
\(147\) | 5.38617 | − | 11.7941i | 0.444244 | − | 0.972758i | ||||
\(148\) | 1.69401 | + | 0.497407i | 0.139247 | + | 0.0408866i | ||||
\(149\) | 6.27512 | + | 7.24187i | 0.514078 | + | 0.593277i | 0.952138 | − | 0.305668i | \(-0.0988799\pi\) |
−0.438060 | + | 0.898945i | \(0.644334\pi\) | |||||||
\(150\) | 0.654861 | + | 0.755750i | 0.0534692 | + | 0.0617067i | ||||
\(151\) | 16.2984 | + | 4.78565i | 1.32635 | + | 0.389451i | 0.866779 | − | 0.498692i | \(-0.166186\pi\) |
0.459568 | + | 0.888143i | \(0.348004\pi\) | |||||||
\(152\) | −2.60276 | + | 5.69926i | −0.211112 | + | 0.462271i | ||||
\(153\) | −4.05544 | − | 2.60627i | −0.327863 | − | 0.210705i | ||||
\(154\) | −0.226201 | + | 0.0664185i | −0.0182278 | + | 0.00535215i | ||||
\(155\) | 0.409621 | − | 2.84897i | 0.0329015 | − | 0.228835i | ||||
\(156\) | 1.78291 | + | 3.90403i | 0.142747 | + | 0.312573i | ||||
\(157\) | −2.20744 | − | 15.3531i | −0.176173 | − | 1.22531i | −0.865519 | − | 0.500877i | \(-0.833011\pi\) |
0.689346 | − | 0.724433i | \(-0.257898\pi\) | |||||||
\(158\) | −9.97103 | + | 6.40799i | −0.793253 | + | 0.509792i | ||||
\(159\) | 0.732644 | − | 0.845516i | 0.0581024 | − | 0.0670538i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | 14.0830 | + | 16.1518i | 1.10989 | + | 1.27294i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | −7.42699 | + | 8.57120i | −0.581727 | + | 0.671348i | −0.967975 | − | 0.251047i | \(-0.919225\pi\) |
0.386248 | + | 0.922395i | \(0.373771\pi\) | |||||||
\(164\) | 8.59975 | − | 5.52673i | 0.671528 | − | 0.431565i | ||||
\(165\) | −0.00750860 | − | 0.0522235i | −0.000584544 | − | 0.00406559i | ||||
\(166\) | 5.27528 | + | 11.5513i | 0.409441 | + | 0.896551i | ||||
\(167\) | −0.829580 | + | 5.76985i | −0.0641948 | + | 0.446485i | 0.932221 | + | 0.361890i | \(0.117869\pi\) |
−0.996415 | + | 0.0845943i | \(0.973041\pi\) | |||||||
\(168\) | 4.28731 | − | 1.25887i | 0.330773 | − | 0.0971237i | ||||
\(169\) | 4.55980 | + | 2.93041i | 0.350754 | + | 0.225416i | ||||
\(170\) | −2.00260 | + | 4.38508i | −0.153592 | + | 0.336320i | ||||
\(171\) | −6.01166 | − | 1.76518i | −0.459723 | − | 0.134987i | ||||
\(172\) | −7.25181 | − | 8.36904i | −0.552945 | − | 0.638133i | ||||
\(173\) | −11.0775 | − | 12.7842i | −0.842209 | − | 0.971961i | 0.157670 | − | 0.987492i | \(-0.449602\pi\) |
−0.999879 | + | 0.0155304i | \(0.995056\pi\) | |||||||
\(174\) | 4.46740 | + | 1.31175i | 0.338673 | + | 0.0994432i | ||||
\(175\) | 1.85620 | − | 4.06451i | 0.140316 | − | 0.307248i | ||||
\(176\) | −0.0443850 | − | 0.0285245i | −0.00334564 | − | 0.00215011i | ||||
\(177\) | −6.35310 | + | 1.86544i | −0.477528 | + | 0.140215i | ||||
\(178\) | 1.75042 | − | 12.1744i | 0.131199 | − | 0.912510i | ||||
\(179\) | −4.85679 | − | 10.6349i | −0.363014 | − | 0.794889i | −0.999717 | − | 0.0237802i | \(-0.992430\pi\) |
0.636704 | − | 0.771109i | \(-0.280297\pi\) | |||||||
\(180\) | 0.142315 | + | 0.989821i | 0.0106075 | + | 0.0737769i | ||||
\(181\) | −16.0912 | + | 10.3412i | −1.19605 | + | 0.768655i | −0.978268 | − | 0.207342i | \(-0.933519\pi\) |
−0.217782 | + | 0.975997i | \(0.569882\pi\) | |||||||
\(182\) | 12.5586 | − | 14.4933i | 0.930902 | − | 1.07432i | ||||
\(183\) | 8.07617 | 0.597008 | ||||||||
\(184\) | −0.667895 | + | 4.74910i | −0.0492379 | + | 0.350108i | ||||
\(185\) | 1.76553 | 0.129804 | ||||||||
\(186\) | 1.88487 | − | 2.17525i | 0.138205 | − | 0.159497i | ||||
\(187\) | 0.213967 | − | 0.137508i | 0.0156468 | − | 0.0100556i | ||||
\(188\) | 0.288051 | + | 2.00344i | 0.0210083 | + | 0.146116i | ||||
\(189\) | 1.85620 | + | 4.06451i | 0.135019 | + | 0.295650i | ||||
\(190\) | −0.891667 | + | 6.20168i | −0.0646883 | + | 0.449917i | ||||
\(191\) | −4.47387 | + | 1.31365i | −0.323718 | + | 0.0950521i | −0.439554 | − | 0.898216i | \(-0.644863\pi\) |
0.115836 | + | 0.993268i | \(0.463045\pi\) | |||||||
\(192\) | 0.841254 | + | 0.540641i | 0.0607122 | + | 0.0390174i | ||||
\(193\) | 5.85785 | − | 12.8269i | 0.421657 | − | 0.923300i | −0.572950 | − | 0.819590i | \(-0.694201\pi\) |
0.994608 | − | 0.103710i | \(-0.0330715\pi\) | |||||||
\(194\) | −13.4075 | − | 3.93679i | −0.962600 | − | 0.282645i | ||||
\(195\) | 2.81058 | + | 3.24359i | 0.201270 | + | 0.232278i | ||||
\(196\) | −8.49076 | − | 9.79886i | −0.606483 | − | 0.699919i | ||||
\(197\) | 14.5251 | + | 4.26496i | 1.03487 | + | 0.303866i | 0.754690 | − | 0.656081i | \(-0.227787\pi\) |
0.280181 | + | 0.959947i | \(0.409605\pi\) | |||||||
\(198\) | 0.0219175 | − | 0.0479926i | 0.00155761 | − | 0.00341069i | ||||
\(199\) | 6.11663 | + | 3.93092i | 0.433596 | + | 0.278655i | 0.739178 | − | 0.673511i | \(-0.235214\pi\) |
−0.305581 | + | 0.952166i | \(0.598851\pi\) | |||||||
\(200\) | 0.959493 | − | 0.281733i | 0.0678464 | − | 0.0199215i | ||||
\(201\) | 1.56343 | − | 10.8739i | 0.110276 | − | 0.766984i | ||||
\(202\) | 1.42313 | + | 3.11623i | 0.100131 | + | 0.219257i | ||||
\(203\) | −2.96078 | − | 20.5927i | −0.207806 | − | 1.44532i | ||||
\(204\) | −4.05544 | + | 2.60627i | −0.283938 | + | 0.182476i | ||||
\(205\) | 6.69434 | − | 7.72569i | 0.467553 | − | 0.539585i | ||||
\(206\) | −7.52050 | −0.523978 | ||||||||
\(207\) | −4.79581 | + | 0.0147701i | −0.333332 | + | 0.00102660i | ||||
\(208\) | 4.29188 | 0.297588 | ||||||||
\(209\) | 0.216476 | − | 0.249827i | 0.0149740 | − | 0.0172809i | ||||
\(210\) | 3.75898 | − | 2.41575i | 0.259394 | − | 0.166702i | ||||
\(211\) | −0.884567 | − | 6.15230i | −0.0608961 | − | 0.423542i | −0.997350 | − | 0.0727513i | \(-0.976822\pi\) |
0.936454 | − | 0.350790i | \(-0.114087\pi\) | |||||||
\(212\) | −0.464757 | − | 1.01768i | −0.0319197 | − | 0.0698943i | ||||
\(213\) | 1.30951 | − | 9.10783i | 0.0897260 | − | 0.624058i | ||||
\(214\) | −17.3946 | + | 5.10750i | −1.18907 | + | 0.349142i | ||||
\(215\) | −9.31589 | − | 5.98696i | −0.635339 | − | 0.408307i | ||||
\(216\) | −0.415415 | + | 0.909632i | −0.0282654 | + | 0.0618926i | ||||
\(217\) | −12.3400 | − | 3.62336i | −0.837696 | − | 0.245970i | ||||
\(218\) | −10.5430 | − | 12.1673i | −0.714064 | − | 0.824073i | ||||
\(219\) | 7.19362 | + | 8.30189i | 0.486100 | + | 0.560989i | ||||
\(220\) | −0.0506233 | − | 0.0148644i | −0.00341302 | − | 0.00100215i | ||||
\(221\) | −8.59491 | + | 18.8202i | −0.578156 | + | 1.26599i | ||||
\(222\) | 1.48526 | + | 0.954517i | 0.0996840 | + | 0.0640630i | ||||
\(223\) | 14.9994 | − | 4.40421i | 1.00443 | − | 0.294928i | 0.262158 | − | 0.965025i | \(-0.415566\pi\) |
0.742273 | + | 0.670097i | \(0.233748\pi\) | |||||||
\(224\) | 0.635906 | − | 4.42282i | 0.0424883 | − | 0.295512i | ||||
\(225\) | 0.415415 | + | 0.909632i | 0.0276943 | + | 0.0606421i | ||||
\(226\) | 0.852546 | + | 5.92959i | 0.0567105 | + | 0.394430i | ||||
\(227\) | −0.699806 | + | 0.449738i | −0.0464477 | + | 0.0298502i | −0.563659 | − | 0.826008i | \(-0.690607\pi\) |
0.517211 | + | 0.855858i | \(0.326970\pi\) | |||||||
\(228\) | −4.10300 | + | 4.73511i | −0.271728 | + | 0.313591i | ||||
\(229\) | 2.68945 | 0.177724 | 0.0888620 | − | 0.996044i | \(-0.471677\pi\) | ||||
0.0888620 | + | 0.996044i | \(0.471677\pi\) | |||||||
\(230\) | 0.697135 | + | 4.74489i | 0.0459677 | + | 0.312869i | ||||
\(231\) | −0.235750 | −0.0155112 | ||||||||
\(232\) | 3.04903 | − | 3.51877i | 0.200179 | − | 0.231018i | ||||
\(233\) | 0.937649 | − | 0.602590i | 0.0614274 | − | 0.0394770i | −0.509567 | − | 0.860431i | \(-0.670194\pi\) |
0.570994 | + | 0.820954i | \(0.306558\pi\) | |||||||
\(234\) | 0.610798 | + | 4.24820i | 0.0399291 | + | 0.277713i | ||||
\(235\) | 0.840816 | + | 1.84113i | 0.0548488 | + | 0.120102i | ||||
\(236\) | −0.942310 | + | 6.55391i | −0.0613392 | + | 0.426623i | ||||
\(237\) | −11.3725 | + | 3.33926i | −0.738722 | + | 0.216908i | ||||
\(238\) | 18.1210 | + | 11.6456i | 1.17461 | + | 0.754874i | ||||
\(239\) | −3.26008 | + | 7.13858i | −0.210877 | + | 0.461756i | −0.985283 | − | 0.170933i | \(-0.945322\pi\) |
0.774406 | + | 0.632689i | \(0.218049\pi\) | |||||||
\(240\) | 0.959493 | + | 0.281733i | 0.0619350 | + | 0.0181858i | ||||
\(241\) | 12.2408 | + | 14.1266i | 0.788497 | + | 0.909974i | 0.997692 | − | 0.0678998i | \(-0.0216298\pi\) |
−0.209195 | + | 0.977874i | \(0.567084\pi\) | |||||||
\(242\) | −7.20165 | − | 8.31114i | −0.462939 | − | 0.534260i | ||||
\(243\) | −0.959493 | − | 0.281733i | −0.0615515 | − | 0.0180732i | ||||
\(244\) | 3.35496 | − | 7.34634i | 0.214779 | − | 0.470301i | ||||
\(245\) | −10.9075 | − | 7.00982i | −0.696854 | − | 0.447841i | ||||
\(246\) | 9.80846 | − | 2.88002i | 0.625365 | − | 0.183624i | ||||
\(247\) | −3.82693 | + | 26.6169i | −0.243502 | + | 1.69359i | ||||
\(248\) | −1.19568 | − | 2.61817i | −0.0759255 | − | 0.166254i | ||||
\(249\) | 1.80723 | + | 12.5696i | 0.114529 | + | 0.796564i | ||||
\(250\) | 0.841254 | − | 0.540641i | 0.0532055 | − | 0.0341931i | ||||
\(251\) | 0.839247 | − | 0.968542i | 0.0529728 | − | 0.0611338i | −0.728645 | − | 0.684892i | \(-0.759849\pi\) |
0.781618 | + | 0.623758i | \(0.214395\pi\) | |||||||
\(252\) | 4.46831 | 0.281477 | ||||||||
\(253\) | 0.104403 | − | 0.230487i | 0.00656378 | − | 0.0144906i | ||||
\(254\) | −4.25490 | −0.266976 | ||||||||
\(255\) | −3.15690 | + | 3.64325i | −0.197692 | + | 0.228149i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −0.0419202 | − | 0.291562i | −0.00261491 | − | 0.0181871i | 0.988472 | − | 0.151402i | \(-0.0483789\pi\) |
−0.991087 | + | 0.133215i | \(0.957470\pi\) | |||||||
\(258\) | −4.60023 | − | 10.0731i | −0.286398 | − | 0.627124i | ||||
\(259\) | 1.12271 | − | 7.80863i | 0.0697619 | − | 0.485204i | ||||
\(260\) | 4.11803 | − | 1.20916i | 0.255389 | − | 0.0749891i | ||||
\(261\) | 3.91688 | + | 2.51722i | 0.242448 | + | 0.155812i | ||||
\(262\) | −6.46498 | + | 14.1563i | −0.399408 | + | 0.874581i | ||||
\(263\) | 16.5765 | + | 4.86731i | 1.02215 | + | 0.300131i | 0.749516 | − | 0.661986i | \(-0.230286\pi\) |
0.272636 | + | 0.962117i | \(0.412104\pi\) | |||||||
\(264\) | −0.0345508 | − | 0.0398737i | −0.00212645 | − | 0.00245406i | ||||
\(265\) | −0.732644 | − | 0.845516i | −0.0450060 | − | 0.0519396i | ||||
\(266\) | 26.8619 | + | 7.88737i | 1.64701 | + | 0.483606i | ||||
\(267\) | 5.10944 | − | 11.1881i | 0.312693 | − | 0.684701i | ||||
\(268\) | −9.24175 | − | 5.93931i | −0.564530 | − | 0.362801i | ||||
\(269\) | −16.1645 | + | 4.74633i | −0.985569 | + | 0.289389i | −0.734521 | − | 0.678586i | \(-0.762593\pi\) |
−0.251048 | + | 0.967975i | \(0.580775\pi\) | |||||||
\(270\) | −0.142315 | + | 0.989821i | −0.00866101 | + | 0.0602386i | ||||
\(271\) | −3.50331 | − | 7.67117i | −0.212811 | − | 0.465990i | 0.772881 | − | 0.634552i | \(-0.218815\pi\) |
−0.985691 | + | 0.168561i | \(0.946088\pi\) | |||||||
\(272\) | 0.686059 | + | 4.77165i | 0.0415984 | + | 0.289324i | ||||
\(273\) | 16.1331 | − | 10.3681i | 0.976419 | − | 0.627506i | ||||
\(274\) | 9.08843 | − | 10.4886i | 0.549052 | − | 0.633640i | ||||
\(275\) | −0.0527605 | −0.00318158 | ||||||||
\(276\) | −1.97882 | + | 4.36856i | −0.119111 | + | 0.262956i | ||||
\(277\) | 14.2538 | 0.856429 | 0.428215 | − | 0.903677i | \(-0.359143\pi\) | ||||
0.428215 | + | 0.903677i | \(0.359143\pi\) | |||||||
\(278\) | 6.49516 | − | 7.49581i | 0.389554 | − | 0.449569i | ||||
\(279\) | 2.42136 | − | 1.55611i | 0.144963 | − | 0.0931619i | ||||
\(280\) | −0.635906 | − | 4.42282i | −0.0380027 | − | 0.264314i | ||||
\(281\) | 9.90319 | + | 21.6850i | 0.590775 | + | 1.29362i | 0.934973 | + | 0.354719i | \(0.115424\pi\) |
−0.344198 | + | 0.938897i | \(0.611849\pi\) | |||||||
\(282\) | −0.288051 | + | 2.00344i | −0.0171532 | + | 0.119303i | ||||
\(283\) | −16.1384 | + | 4.73866i | −0.959327 | + | 0.281684i | −0.723665 | − | 0.690151i | \(-0.757544\pi\) |
−0.235662 | + | 0.971835i | \(0.575726\pi\) | |||||||
\(284\) | −7.74078 | − | 4.97470i | −0.459331 | − | 0.295194i | ||||
\(285\) | −2.60276 | + | 5.69926i | −0.154174 | + | 0.337595i | ||||
\(286\) | −0.217269 | − | 0.0637960i | −0.0128474 | − | 0.00377234i | ||||
\(287\) | −29.9124 | − | 34.5207i | −1.76567 | − | 2.03769i | ||||
\(288\) | 0.654861 | + | 0.755750i | 0.0385880 | + | 0.0445330i | ||||
\(289\) | −5.98654 | − | 1.75781i | −0.352150 | − | 0.103400i | ||||
\(290\) | 1.93417 | − | 4.23525i | 0.113578 | − | 0.248702i | ||||
\(291\) | −11.7552 | − | 7.55464i | −0.689105 | − | 0.442861i | ||||
\(292\) | 10.5400 | − | 3.09482i | 0.616807 | − | 0.181111i | ||||
\(293\) | 0.661190 | − | 4.59868i | 0.0386271 | − | 0.268658i | −0.961351 | − | 0.275327i | \(-0.911214\pi\) |
0.999978 | + | 0.00666939i | \(0.00212295\pi\) | |||||||
\(294\) | −5.38617 | − | 11.7941i | −0.314128 | − | 0.687844i | ||||
\(295\) | 0.942310 | + | 6.55391i | 0.0548634 | + | 0.381583i | ||||
\(296\) | 1.48526 | − | 0.954517i | 0.0863289 | − | 0.0554802i | ||||
\(297\) | 0.0345508 | − | 0.0398737i | 0.00200484 | − | 0.00231371i | ||||
\(298\) | 9.58237 | 0.555092 | ||||||||
\(299\) | 2.99202 | + | 20.3645i | 0.173033 | + | 1.17771i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | −32.4033 | + | 37.3954i | −1.86770 | + | 2.15544i | ||||
\(302\) | 14.2900 | − | 9.18359i | 0.822294 | − | 0.528456i | ||||
\(303\) | 0.487543 | + | 3.39094i | 0.0280086 | + | 0.194804i | ||||
\(304\) | 2.60276 | + | 5.69926i | 0.149279 | + | 0.326875i | ||||
\(305\) | 1.14936 | − | 7.99397i | 0.0658121 | − | 0.457733i | ||||
\(306\) | −4.62544 | + | 1.35815i | −0.264419 | + | 0.0776404i | ||||
\(307\) | −12.0939 | − | 7.77228i | −0.690236 | − | 0.443588i | 0.147934 | − | 0.988997i | \(-0.452738\pi\) |
−0.838170 | + | 0.545410i | \(0.816374\pi\) | |||||||
\(308\) | −0.0979341 | + | 0.214446i | −0.00558031 | + | 0.0122192i | ||||
\(309\) | −7.21586 | − | 2.11877i | −0.410496 | − | 0.120533i | ||||
\(310\) | −1.88487 | − | 2.17525i | −0.107053 | − | 0.123546i | ||||
\(311\) | −1.95558 | − | 2.25686i | −0.110891 | − | 0.127975i | 0.697590 | − | 0.716497i | \(-0.254256\pi\) |
−0.808481 | + | 0.588522i | \(0.799710\pi\) | |||||||
\(312\) | 4.11803 | + | 1.20916i | 0.233138 | + | 0.0684554i | ||||
\(313\) | −4.34963 | + | 9.52435i | −0.245855 | + | 0.538348i | −0.991821 | − | 0.127636i | \(-0.959261\pi\) |
0.745966 | + | 0.665984i | \(0.231988\pi\) | |||||||
\(314\) | −13.0487 | − | 8.38586i | −0.736378 | − | 0.473241i | ||||
\(315\) | 4.28731 | − | 1.25887i | 0.241562 | − | 0.0709291i | ||||
\(316\) | −1.68680 | + | 11.7319i | −0.0948899 | + | 0.659973i | ||||
\(317\) | 8.95278 | + | 19.6038i | 0.502838 | + | 1.10106i | 0.975536 | + | 0.219838i | \(0.0705527\pi\) |
−0.472698 | + | 0.881224i | \(0.656720\pi\) | |||||||
\(318\) | −0.159219 | − | 1.10739i | −0.00892854 | − | 0.0620994i | ||||
\(319\) | −0.206656 | + | 0.132810i | −0.0115705 | + | 0.00743593i | ||||
\(320\) | 0.654861 | − | 0.755750i | 0.0366078 | − | 0.0422477i | ||||
\(321\) | −18.1289 | −1.01186 | ||||||||
\(322\) | 21.4291 | − | 0.0659975i | 1.19420 | − | 0.00367789i | ||||
\(323\) | −30.2040 | −1.68059 | ||||||||
\(324\) | −0.654861 | + | 0.755750i | −0.0363812 | + | 0.0419861i | ||||
\(325\) | 3.61056 | − | 2.32037i | 0.200278 | − | 0.128711i | ||||
\(326\) | 1.61404 | + | 11.2259i | 0.0893933 | + | 0.621744i | ||||
\(327\) | −6.68803 | − | 14.6447i | −0.369849 | − | 0.809856i | ||||
\(328\) | 1.45482 | − | 10.1185i | 0.0803290 | − | 0.558700i | ||||
\(329\) | 8.67768 | − | 2.54800i | 0.478416 | − | 0.140476i | ||||
\(330\) | −0.0443850 | − | 0.0285245i | −0.00244331 | − | 0.00157022i | ||||
\(331\) | 10.4007 | − | 22.7744i | 0.571676 | − | 1.25180i | −0.374225 | − | 0.927338i | \(-0.622091\pi\) |
0.945900 | − | 0.324457i | \(-0.105182\pi\) | |||||||
\(332\) | 12.1844 | + | 3.57767i | 0.668708 | + | 0.196350i | ||||
\(333\) | 1.15618 | + | 1.33430i | 0.0633580 | + | 0.0731191i | ||||
\(334\) | 3.81730 | + | 4.40540i | 0.208874 | + | 0.241053i | ||||
\(335\) | −10.5407 | − | 3.09503i | −0.575899 | − | 0.169099i | ||||
\(336\) | 1.85620 | − | 4.06451i | 0.101264 | − | 0.221737i | ||||
\(337\) | 2.43194 | + | 1.56291i | 0.132476 | + | 0.0851373i | 0.605200 | − | 0.796073i | \(-0.293093\pi\) |
−0.472724 | + | 0.881210i | \(0.656729\pi\) | |||||||
\(338\) | 5.20069 | − | 1.52706i | 0.282880 | − | 0.0830611i | ||||
\(339\) | −0.852546 | + | 5.92959i | −0.0463040 | + | 0.322051i | ||||
\(340\) | 2.00260 | + | 4.38508i | 0.108606 | + | 0.237814i | ||||
\(341\) | 0.0216118 | + | 0.150313i | 0.00117034 | + | 0.00813992i | ||||
\(342\) | −5.27083 | + | 3.38736i | −0.285014 | + | 0.183167i | ||||
\(343\) | −17.4565 | + | 20.1459i | −0.942562 | + | 1.08778i | ||||
\(344\) | −11.0738 | −0.597060 | ||||||||
\(345\) | −0.667895 | + | 4.74910i | −0.0359583 | + | 0.255683i | ||||
\(346\) | −16.9159 | −0.909402 | ||||||||
\(347\) | −13.3726 | + | 15.4328i | −0.717878 | + | 0.828476i | −0.991050 | − | 0.133490i | \(-0.957382\pi\) |
0.273172 | + | 0.961965i | \(0.411927\pi\) | |||||||
\(348\) | 3.91688 | − | 2.51722i | 0.209967 | − | 0.134937i | ||||
\(349\) | 4.10249 | + | 28.5334i | 0.219601 | + | 1.52736i | 0.739515 | + | 0.673140i | \(0.235055\pi\) |
−0.519914 | + | 0.854219i | \(0.674036\pi\) | |||||||
\(350\) | −1.85620 | − | 4.06451i | −0.0992181 | − | 0.217257i | ||||
\(351\) | −0.610798 | + | 4.24820i | −0.0326020 | + | 0.226752i | ||||
\(352\) | −0.0506233 | + | 0.0148644i | −0.00269823 | + | 0.000792273i | ||||
\(353\) | −6.81922 | − | 4.38245i | −0.362950 | − | 0.233254i | 0.346436 | − | 0.938073i | \(-0.387392\pi\) |
−0.709387 | + | 0.704819i | \(0.751028\pi\) | |||||||
\(354\) | −2.75059 | + | 6.02295i | −0.146192 | + | 0.320116i | ||||
\(355\) | −8.82876 | − | 2.59236i | −0.468582 | − | 0.137588i | ||||
\(356\) | −8.05452 | − | 9.29542i | −0.426889 | − | 0.492656i | ||||
\(357\) | 14.1060 | + | 16.2792i | 0.746567 | + | 0.861585i | ||||
\(358\) | −11.2178 | − | 3.29385i | −0.592881 | − | 0.174086i | ||||
\(359\) | −1.73771 | + | 3.80505i | −0.0917126 | + | 0.200823i | −0.949929 | − | 0.312465i | \(-0.898845\pi\) |
0.858217 | + | 0.513288i | \(0.171573\pi\) | |||||||
\(360\) | 0.841254 | + | 0.540641i | 0.0443380 | + | 0.0284943i | ||||
\(361\) | −19.4354 | + | 5.70675i | −1.02292 | + | 0.300355i | ||||
\(362\) | −2.72215 | + | 18.9330i | −0.143073 | + | 0.995095i | ||||
\(363\) | −4.56841 | − | 10.0034i | −0.239779 | − | 0.525043i | ||||
\(364\) | −2.72923 | − | 18.9822i | −0.143051 | − | 0.994940i | ||||
\(365\) | 9.24114 | − | 5.93892i | 0.483704 | − | 0.310857i | ||||
\(366\) | 5.28877 | − | 6.10356i | 0.276448 | − | 0.319038i | ||||
\(367\) | −29.2737 | −1.52808 | −0.764038 | − | 0.645171i | \(-0.776786\pi\) | ||||
−0.764038 | + | 0.645171i | \(0.776786\pi\) | |||||||
\(368\) | 3.15175 | + | 3.61476i | 0.164296 | + | 0.188432i | ||||
\(369\) | 10.2225 | 0.532165 | ||||||||
\(370\) | 1.15618 | − | 1.33430i | 0.0601067 | − | 0.0693669i | ||||
\(371\) | −4.20546 | + | 2.70269i | −0.218337 | + | 0.140316i | ||||
\(372\) | −0.409621 | − | 2.84897i | −0.0212378 | − | 0.147712i | ||||
\(373\) | −3.82777 | − | 8.38164i | −0.198194 | − | 0.433985i | 0.784274 | − | 0.620415i | \(-0.213036\pi\) |
−0.982468 | + | 0.186430i | \(0.940308\pi\) | |||||||
\(374\) | 0.0361968 | − | 0.251754i | 0.00187169 | − | 0.0130179i | ||||
\(375\) | 0.959493 | − | 0.281733i | 0.0495480 | − | 0.0145486i | ||||
\(376\) | 1.70273 | + | 1.09428i | 0.0878116 | + | 0.0564331i | ||||
\(377\) | 8.30124 | − | 18.1772i | 0.427535 | − | 0.936172i | ||||
\(378\) | 4.28731 | + | 1.25887i | 0.220515 | + | 0.0647491i | ||||
\(379\) | −11.0746 | − | 12.7808i | −0.568864 | − | 0.656504i | 0.396309 | − | 0.918117i | \(-0.370291\pi\) |
−0.965173 | + | 0.261613i | \(0.915746\pi\) | |||||||
\(380\) | 4.10300 | + | 4.73511i | 0.210479 | + | 0.242906i | ||||
\(381\) | −4.08254 | − | 1.19874i | −0.209155 | − | 0.0614135i | ||||
\(382\) | −1.93697 | + | 4.24138i | −0.0991042 | + | 0.217008i | ||||
\(383\) | −8.72777 | − | 5.60899i | −0.445968 | − | 0.286606i | 0.298319 | − | 0.954466i | \(-0.403574\pi\) |
−0.744287 | + | 0.667860i | \(0.767210\pi\) | |||||||
\(384\) | 0.959493 | − | 0.281733i | 0.0489639 | − | 0.0143771i | ||||
\(385\) | −0.0335507 | + | 0.233350i | −0.00170990 | + | 0.0118926i | ||||
\(386\) | −5.85785 | − | 12.8269i | −0.298157 | − | 0.652872i | ||||
\(387\) | −1.57597 | − | 10.9611i | −0.0801110 | − | 0.557184i | ||||
\(388\) | −11.7552 | + | 7.55464i | −0.596782 | + | 0.383529i | ||||
\(389\) | 13.5207 | − | 15.6037i | 0.685524 | − | 0.791137i | −0.301197 | − | 0.953562i | \(-0.597386\pi\) |
0.986721 | + | 0.162425i | \(0.0519315\pi\) | |||||||
\(390\) | 4.29188 | 0.217328 | ||||||||
\(391\) | −22.1627 | + | 6.58176i | −1.12081 | + | 0.332854i | ||||
\(392\) | −12.9658 | −0.654870 | ||||||||
\(393\) | −10.1914 | + | 11.7615i | −0.514088 | + | 0.593289i | ||||
\(394\) | 12.7352 | − | 8.18439i | 0.641588 | − | 0.412324i | ||||
\(395\) | 1.68680 | + | 11.7319i | 0.0848721 | + | 0.590298i | ||||
\(396\) | −0.0219175 | − | 0.0479926i | −0.00110140 | − | 0.00241172i | ||||
\(397\) | 2.72257 | − | 18.9359i | 0.136642 | − | 0.950365i | −0.799981 | − | 0.600026i | \(-0.795157\pi\) |
0.936623 | − | 0.350340i | \(-0.113934\pi\) | |||||||
\(398\) | 6.97633 | − | 2.04844i | 0.349692 | − | 0.102679i | ||||
\(399\) | 23.5517 | + | 15.1358i | 1.17906 | + | 0.757736i | ||||
\(400\) | 0.415415 | − | 0.909632i | 0.0207708 | − | 0.0454816i | ||||
\(401\) | 24.6165 | + | 7.22807i | 1.22929 | + | 0.360953i | 0.830982 | − | 0.556299i | \(-0.187779\pi\) |
0.398309 | + | 0.917251i | \(0.369597\pi\) | |||||||
\(402\) | −7.19410 | − | 8.30243i | −0.358809 | − | 0.414088i | ||||
\(403\) | −8.08962 | − | 9.33592i | −0.402973 | − | 0.465055i | ||||
\(404\) | 3.28704 | + | 0.965162i | 0.163536 | + | 0.0480186i | ||||
\(405\) | −0.415415 | + | 0.909632i | −0.0206421 | + | 0.0452000i | ||||
\(406\) | −17.5018 | − | 11.2477i | −0.868599 | − | 0.558215i | ||||
\(407\) | −0.0893770 | + | 0.0262434i | −0.00443025 | + | 0.00130084i | ||||
\(408\) | −0.686059 | + | 4.77165i | −0.0339650 | + | 0.236232i | ||||
\(409\) | −12.5255 | − | 27.4270i | −0.619346 | − | 1.35618i | −0.915994 | − | 0.401191i | \(-0.868596\pi\) |
0.296649 | − | 0.954987i | \(-0.404131\pi\) | |||||||
\(410\) | −1.45482 | − | 10.1185i | −0.0718484 | − | 0.499717i | ||||
\(411\) | 11.6753 | − | 7.50324i | 0.575898 | − | 0.370107i | ||||
\(412\) | −4.92488 | + | 5.68361i | −0.242631 | + | 0.280012i | ||||
\(413\) | 29.5860 | 1.45583 | ||||||||
\(414\) | −3.12942 | + | 3.63410i | −0.153803 | + | 0.178606i | ||||
\(415\) | 12.6988 | 0.623361 | ||||||||
\(416\) | 2.81058 | − | 3.24359i | 0.137800 | − | 0.159030i | ||||
\(417\) | 8.34387 | − | 5.36228i | 0.408601 | − | 0.262592i | ||||
\(418\) | −0.0470448 | − | 0.327204i | −0.00230104 | − | 0.0160041i | ||||
\(419\) | −8.81703 | − | 19.3066i | −0.430740 | − | 0.943189i | −0.993206 | − | 0.116369i | \(-0.962875\pi\) |
0.562466 | − | 0.826820i | \(-0.309853\pi\) | |||||||
\(420\) | 0.635906 | − | 4.42282i | 0.0310290 | − | 0.215812i | ||||
\(421\) | 11.8508 | − | 3.47971i | 0.577573 | − | 0.169591i | 0.0201174 | − | 0.999798i | \(-0.493596\pi\) |
0.557455 | + | 0.830207i | \(0.311778\pi\) | |||||||
\(422\) | −5.22887 | − | 3.36039i | −0.254537 | − | 0.163581i | ||||
\(423\) | −0.840816 | + | 1.84113i | −0.0408819 | + | 0.0895188i | ||||
\(424\) | −1.07346 | − | 0.315196i | −0.0521318 | − | 0.0153073i | ||||
\(425\) | 3.15690 | + | 3.64325i | 0.153132 | + | 0.176724i | ||||
\(426\) | −6.02569 | − | 6.95402i | −0.291946 | − | 0.336923i | ||||
\(427\) | −34.6250 | − | 10.1668i | −1.67562 | − | 0.492007i | ||||
\(428\) | −7.53102 | + | 16.4906i | −0.364026 | + | 0.797105i | ||||
\(429\) | −0.190495 | − | 0.122424i | −0.00919718 | − | 0.00591067i | ||||
\(430\) | −10.6253 | + | 3.11986i | −0.512395 | + | 0.150453i | ||||
\(431\) | −1.40758 | + | 9.78992i | −0.0678006 | + | 0.471564i | 0.927429 | + | 0.374000i | \(0.122014\pi\) |
−0.995229 | + | 0.0975636i | \(0.968895\pi\) | |||||||
\(432\) | 0.415415 | + | 0.909632i | 0.0199867 | + | 0.0437647i | ||||
\(433\) | 3.94538 | + | 27.4407i | 0.189603 | + | 1.31872i | 0.833038 | + | 0.553215i | \(0.186599\pi\) |
−0.643436 | + | 0.765500i | \(0.722492\pi\) | |||||||
\(434\) | −10.8194 | + | 6.95318i | −0.519346 | + | 0.333763i | ||||
\(435\) | 3.04903 | − | 3.51877i | 0.146190 | − | 0.168712i | ||||
\(436\) | −16.0996 | −0.771033 | ||||||||
\(437\) | −25.2279 | + | 16.3230i | −1.20681 | + | 0.780834i | ||||
\(438\) | 10.9850 | 0.524882 | ||||||||
\(439\) | −6.34038 | + | 7.31719i | −0.302610 | + | 0.349230i | −0.886606 | − | 0.462526i | \(-0.846943\pi\) |
0.583996 | + | 0.811757i | \(0.301489\pi\) | |||||||
\(440\) | −0.0443850 | + | 0.0285245i | −0.00211597 | + | 0.00135985i | ||||
\(441\) | −1.84522 | − | 12.8338i | −0.0878676 | − | 0.611132i | ||||
\(442\) | 8.59491 | + | 18.8202i | 0.408818 | + | 0.895187i | ||||
\(443\) | −0.164355 | + | 1.14311i | −0.00780872 | + | 0.0543109i | −0.993353 | − | 0.115106i | \(-0.963279\pi\) |
0.985545 | + | 0.169417i | \(0.0541884\pi\) | |||||||
\(444\) | 1.69401 | − | 0.497407i | 0.0803943 | − | 0.0236059i | ||||
\(445\) | −10.3471 | − | 6.64967i | −0.490499 | − | 0.315224i | ||||
\(446\) | 6.49401 | − | 14.2199i | 0.307500 | − | 0.673332i | ||||
\(447\) | 9.19421 | + | 2.69966i | 0.434871 | + | 0.127690i | ||||
\(448\) | −2.92612 | − | 3.37692i | −0.138246 | − | 0.159544i | ||||
\(449\) | 9.73918 | + | 11.2396i | 0.459620 | + | 0.530430i | 0.937495 | − | 0.347998i | \(-0.113138\pi\) |
−0.477875 | + | 0.878428i | \(0.658593\pi\) | |||||||
\(450\) | 0.959493 | + | 0.281733i | 0.0452309 | + | 0.0132810i | ||||
\(451\) | −0.224053 | + | 0.490607i | −0.0105502 | + | 0.0231018i | ||||
\(452\) | 5.03958 | + | 3.23874i | 0.237042 | + | 0.152338i | ||||
\(453\) | 16.2984 | − | 4.78565i | 0.765767 | − | 0.224849i | ||||
\(454\) | −0.118386 | + | 0.823394i | −0.00555614 | + | 0.0386438i | ||||
\(455\) | −7.96660 | − | 17.4444i | −0.373480 | − | 0.817807i | ||||
\(456\) | 0.891667 | + | 6.20168i | 0.0417561 | + | 0.290420i | ||||
\(457\) | −31.1885 | + | 20.0436i | −1.45894 | + | 0.937602i | −0.460176 | + | 0.887828i | \(0.652214\pi\) |
−0.998760 | + | 0.0497742i | \(0.984150\pi\) | |||||||
\(458\) | 1.76122 | − | 2.03255i | 0.0822963 | − | 0.0949750i | ||||
\(459\) | −4.82071 | −0.225012 | ||||||||
\(460\) | 4.04248 | + | 2.58038i | 0.188481 | + | 0.120311i | ||||
\(461\) | 10.7244 | 0.499486 | 0.249743 | − | 0.968312i | \(-0.419654\pi\) | ||||
0.249743 | + | 0.968312i | \(0.419654\pi\) | |||||||
\(462\) | −0.154383 | + | 0.178168i | −0.00718257 | + | 0.00828913i | ||||
\(463\) | 18.6555 | − | 11.9891i | 0.866993 | − | 0.557183i | −0.0298383 | − | 0.999555i | \(-0.509499\pi\) |
0.896832 | + | 0.442372i | \(0.145863\pi\) | |||||||
\(464\) | −0.662618 | − | 4.60861i | −0.0307613 | − | 0.213949i | ||||
\(465\) | −1.19568 | − | 2.61817i | −0.0554482 | − | 0.121415i | ||||
\(466\) | 0.158622 | − | 1.10324i | 0.00734802 | − | 0.0511066i | ||||
\(467\) | 33.6599 | − | 9.88343i | 1.55759 | − | 0.457350i | 0.614234 | − | 0.789124i | \(-0.289465\pi\) |
0.943359 | + | 0.331774i | \(0.107647\pi\) | |||||||
\(468\) | 3.61056 | + | 2.32037i | 0.166898 | + | 0.107259i | ||||
\(469\) | −20.3916 | + | 44.6515i | −0.941599 | + | 2.06181i | ||||
\(470\) | 1.94205 | + | 0.570237i | 0.0895801 | + | 0.0263031i | ||||
\(471\) | −10.1575 | − | 11.7224i | −0.468034 | − | 0.540140i | ||||
\(472\) | 4.33603 | + | 5.00405i | 0.199582 | + | 0.230330i | ||||
\(473\) | 0.560594 | + | 0.164605i | 0.0257761 | + | 0.00756855i | ||||
\(474\) | −4.92374 | + | 10.7815i | −0.226155 | + | 0.495210i | ||||
\(475\) | 5.27083 | + | 3.38736i | 0.241842 | + | 0.155423i | ||||
\(476\) | 20.6679 | − | 6.06864i | 0.947311 | − | 0.278156i | ||||
\(477\) | 0.159219 | − | 1.10739i | 0.00729012 | − | 0.0507039i | ||||
\(478\) | 3.26008 | + | 7.13858i | 0.149113 | + | 0.326511i | ||||
\(479\) | −5.58858 | − | 38.8695i | −0.255349 | − | 1.77599i | −0.564951 | − | 0.825125i | \(-0.691105\pi\) |
0.309602 | − | 0.950866i | \(-0.399804\pi\) | |||||||
\(480\) | 0.841254 | − | 0.540641i | 0.0383978 | − | 0.0246768i | ||||
\(481\) | 4.96217 | − | 5.72665i | 0.226255 | − | 0.261113i | ||||
\(482\) | 18.6922 | 0.851405 | ||||||||
\(483\) | 20.5797 | + | 5.97396i | 0.936409 | + | 0.271825i | ||||
\(484\) | −10.9972 | −0.499873 | ||||||||
\(485\) | −9.15069 | + | 10.5605i | −0.415511 | + | 0.479526i | ||||
\(486\) | −0.841254 | + | 0.540641i | −0.0381600 | + | 0.0245240i | ||||
\(487\) | 0.932808 | + | 6.48782i | 0.0422696 | + | 0.293991i | 0.999980 | + | 0.00625885i | \(0.00199227\pi\) |
−0.957711 | + | 0.287732i | \(0.907099\pi\) | |||||||
\(488\) | −3.35496 | − | 7.34634i | −0.151872 | − | 0.332553i | ||||
\(489\) | −1.61404 | + | 11.2259i | −0.0729893 | + | 0.507652i | ||||
\(490\) | −12.4406 | + | 3.65288i | −0.562007 | + | 0.165020i | ||||
\(491\) | 24.7496 | + | 15.9056i | 1.11693 | + | 0.717809i | 0.962793 | − | 0.270240i | \(-0.0871030\pi\) |
0.154140 | + | 0.988049i | \(0.450739\pi\) | |||||||
\(492\) | 4.24660 | − | 9.29876i | 0.191451 | − | 0.419220i | ||||
\(493\) | 21.5360 | + | 6.32355i | 0.969935 | + | 0.284799i | ||||
\(494\) | 17.6096 | + | 20.3225i | 0.792293 | + | 0.914355i | ||||
\(495\) | −0.0345508 | − | 0.0398737i | −0.00155294 | − | 0.00179219i | ||||
\(496\) | −2.76168 | − | 0.810902i | −0.124003 | − | 0.0364106i | ||||
\(497\) | −17.0798 | + | 37.3996i | −0.766134 | + | 1.67760i | ||||
\(498\) | 10.6829 | + | 6.86550i | 0.478714 | + | 0.307651i | ||||
\(499\) | 5.09824 | − | 1.49698i | 0.228229 | − | 0.0670140i | −0.165619 | − | 0.986190i | \(-0.552962\pi\) |
0.393847 | + | 0.919176i | \(0.371144\pi\) | |||||||
\(500\) | 0.142315 | − | 0.989821i | 0.00636451 | − | 0.0442662i | ||||
\(501\) | 2.42153 | + | 5.30241i | 0.108186 | + | 0.236894i | ||||
\(502\) | −0.182386 | − | 1.26852i | −0.00814027 | − | 0.0566168i | ||||
\(503\) | 10.5044 | − | 6.75078i | 0.468369 | − | 0.301003i | −0.285086 | − | 0.958502i | \(-0.592022\pi\) |
0.753455 | + | 0.657499i | \(0.228386\pi\) | |||||||
\(504\) | 2.92612 | − | 3.37692i | 0.130340 | − | 0.150420i | ||||
\(505\) | 3.42581 | 0.152447 | ||||||||
\(506\) | −0.105821 | − | 0.229840i | −0.00470432 | − | 0.0102176i | ||||
\(507\) | 5.42025 | 0.240722 | ||||||||
\(508\) | −2.78636 | + | 3.21564i | −0.123625 | + | 0.142671i | ||||
\(509\) | 21.3104 | − | 13.6953i | 0.944565 | − | 0.607035i | 0.0248794 | − | 0.999690i | \(-0.492080\pi\) |
0.919686 | + | 0.392655i | \(0.128443\pi\) | |||||||
\(510\) | 0.686059 | + | 4.77165i | 0.0303792 | + | 0.211292i | ||||
\(511\) | −20.3903 | − | 44.6486i | −0.902014 | − | 1.97514i | ||||
\(512\) | 0.142315 | − | 0.989821i | 0.00628949 | − | 0.0437443i | ||||
\(513\) | −6.01166 | + | 1.76518i | −0.265421 | + | 0.0779347i | ||||
\(514\) | −0.247800 | − | 0.159251i | −0.0109300 | − | 0.00702426i | ||||
\(515\) | −3.12413 | + | 6.84089i | −0.137666 | + | 0.301445i | ||||
\(516\) | −10.6253 | − | 3.11986i | −0.467751 | − | 0.137344i | ||||
\(517\) | −0.0699321 | − | 0.0807059i | −0.00307561 | − | 0.00354944i | ||||
\(518\) | −5.16615 | − | 5.96205i | −0.226987 | − | 0.261958i | ||||
\(519\) | −16.2307 | − | 4.76575i | −0.712447 | − | 0.209193i | ||||
\(520\) | 1.78291 | − | 3.90403i | 0.0781859 | − | 0.171203i | ||||
\(521\) | 6.75836 | + | 4.34333i | 0.296089 | + | 0.190285i | 0.680248 | − | 0.732982i | \(-0.261872\pi\) |
−0.384159 | + | 0.923267i | \(0.625509\pi\) | |||||||
\(522\) | 4.46740 | − | 1.31175i | 0.195533 | − | 0.0574136i | ||||
\(523\) | 3.27386 | − | 22.7702i | 0.143156 | − | 0.995671i | −0.783937 | − | 0.620840i | \(-0.786792\pi\) |
0.927093 | − | 0.374831i | \(-0.122299\pi\) | |||||||
\(524\) | 6.46498 | + | 14.1563i | 0.282424 | + | 0.618422i | ||||
\(525\) | −0.635906 | − | 4.42282i | −0.0277532 | − | 0.193028i | ||||
\(526\) | 14.5338 | − | 9.34029i | 0.633703 | − | 0.407256i | ||||
\(527\) | 9.08640 | − | 10.4863i | 0.395810 | − | 0.456789i | ||||
\(528\) | −0.0527605 | −0.00229611 | ||||||||
\(529\) | −14.9544 | + | 17.4747i | −0.650193 | + | 0.759769i | ||||
\(530\) | −1.11878 | −0.0485966 | ||||||||
\(531\) | −4.33603 | + | 5.00405i | −0.188168 | + | 0.217157i | ||||
\(532\) | 23.5517 | − | 15.1358i | 1.02110 | − | 0.656218i | ||||
\(533\) | −6.24392 | − | 43.4274i | −0.270454 | − | 1.88105i | ||||
\(534\) | −5.10944 | − | 11.1881i | −0.221107 | − | 0.484157i | ||||
\(535\) | −2.58001 | + | 17.9444i | −0.111544 | + | 0.775803i | ||||
\(536\) | −10.5407 | + | 3.09503i | −0.455289 | + | 0.133685i | ||||
\(537\) | −9.83545 | − | 6.32086i | −0.424431 | − | 0.272765i | ||||
\(538\) | −6.99848 | + | 15.3245i | −0.301726 | + | 0.660687i | ||||
\(539\) | 0.656370 | + | 0.192728i | 0.0282718 | + | 0.00830136i | ||||
\(540\) | 0.654861 | + | 0.755750i | 0.0281807 | + | 0.0325223i | ||||
\(541\) | −19.1726 | − | 22.1264i | −0.824295 | − | 0.951288i | 0.175151 | − | 0.984542i | \(-0.443958\pi\) |
−0.999447 | + | 0.0332538i | \(0.989413\pi\) | |||||||
\(542\) | −8.09166 | − | 2.37593i | −0.347567 | − | 0.102055i | ||||
\(543\) | −7.94592 | + | 17.3991i | −0.340992 | + | 0.746668i | ||||
\(544\) | 4.05544 | + | 2.60627i | 0.173876 | + | 0.111743i | ||||
\(545\) | −15.4475 | + | 4.53579i | −0.661698 | + | 0.194292i | ||||
\(546\) | 2.72923 | − | 18.9822i | 0.116800 | − | 0.812365i | ||||
\(547\) | 5.97132 | + | 13.0754i | 0.255315 | + | 0.559062i | 0.993275 | − | 0.115783i | \(-0.0369377\pi\) |
−0.737959 | + | 0.674845i | \(0.764210\pi\) | |||||||
\(548\) | −1.97510 | − | 13.7372i | −0.0843723 | − | 0.586822i | ||||
\(549\) | 6.79411 | − | 4.36631i | 0.289965 | − | 0.186349i | ||||
\(550\) | −0.0345508 | + | 0.0398737i | −0.00147325 | + | 0.00170022i | ||||
\(551\) | 29.1719 | 1.24277 | ||||||||
\(552\) | 2.00569 | + | 4.35629i | 0.0853677 | + | 0.185416i | ||||
\(553\) | 52.9610 | 2.25213 | ||||||||
\(554\) | 9.33427 | − | 10.7723i | 0.396575 | − | 0.457672i | ||||
\(555\) | 1.48526 | − | 0.954517i | 0.0630457 | − | 0.0405170i | ||||
\(556\) | −1.41153 | − | 9.81743i | −0.0598623 | − | 0.416352i | ||||
\(557\) | 4.24280 | + | 9.29043i | 0.179773 | + | 0.393648i | 0.977969 | − | 0.208750i | \(-0.0669393\pi\) |
−0.798196 | + | 0.602398i | \(0.794212\pi\) | |||||||
\(558\) | 0.409621 | − | 2.84897i | 0.0173406 | − | 0.120607i | ||||
\(559\) | −45.6023 | + | 13.3901i | −1.92877 | + | 0.566339i | ||||
\(560\) | −3.75898 | − | 2.41575i | −0.158846 | − | 0.102084i | ||||
\(561\) | 0.105658 | − | 0.231359i | 0.00446088 | − | 0.00976797i | ||||
\(562\) | 22.8736 | + | 6.71630i | 0.964865 | + | 0.283310i | ||||
\(563\) | 6.53327 | + | 7.53980i | 0.275345 | + | 0.317765i | 0.876532 | − | 0.481343i | \(-0.159851\pi\) |
−0.601188 | + | 0.799108i | \(0.705306\pi\) | |||||||
\(564\) | 1.32546 | + | 1.52967i | 0.0558121 | + | 0.0644106i | ||||
\(565\) | 5.74791 | + | 1.68774i | 0.241816 | + | 0.0710036i | ||||
\(566\) | −6.98715 | + | 15.2997i | −0.293692 | + | 0.643096i | ||||
\(567\) | 3.75898 | + | 2.41575i | 0.157862 | + | 0.101452i | ||||
\(568\) | −8.82876 | + | 2.59236i | −0.370447 | + | 0.108773i | ||||
\(569\) | −4.60179 | + | 32.0062i | −0.192917 | + | 1.34177i | 0.631319 | + | 0.775523i | \(0.282514\pi\) |
−0.824237 | + | 0.566246i | \(0.808395\pi\) | |||||||
\(570\) | 2.60276 | + | 5.69926i | 0.109018 | + | 0.238716i | ||||
\(571\) | −0.641494 | − | 4.46169i | −0.0268457 | − | 0.186716i | 0.971986 | − | 0.235038i | \(-0.0755216\pi\) |
−0.998832 | + | 0.0483224i | \(0.984613\pi\) | |||||||
\(572\) | −0.190495 | + | 0.122424i | −0.00796500 | + | 0.00511879i | ||||
\(573\) | −3.05345 | + | 3.52387i | −0.127560 | + | 0.147212i | ||||
\(574\) | −45.6775 | −1.90654 | ||||||||
\(575\) | 4.60571 | + | 1.33696i | 0.192071 | + | 0.0557552i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −6.44818 | + | 7.44160i | −0.268441 | + | 0.309798i | −0.873926 | − | 0.486059i | \(-0.838434\pi\) |
0.605485 | + | 0.795857i | \(0.292979\pi\) | |||||||
\(578\) | −5.24881 | + | 3.37321i | −0.218322 | + | 0.140307i | ||||
\(579\) | −2.00681 | − | 13.9577i | −0.0834001 | − | 0.580061i | ||||
\(580\) | −1.93417 | − | 4.23525i | −0.0803121 | − | 0.175859i | ||||
\(581\) | 8.07526 | − | 56.1647i | 0.335018 | − | 2.33010i | ||||
\(582\) | −13.4075 | + | 3.93679i | −0.555757 | + | 0.163185i | ||||
\(583\) | 0.0496569 | + | 0.0319126i | 0.00205658 | + | 0.00132168i | ||||
\(584\) | 4.56332 | − | 9.99228i | 0.188832 | − | 0.413483i | ||||
\(585\) | 4.11803 | + | 1.20916i | 0.170260 | + | 0.0499927i | ||||
\(586\) | −3.04246 | − | 3.51119i | −0.125683 | − | 0.145046i | ||||
\(587\) | 19.0944 | + | 22.0361i | 0.788109 | + | 0.909527i | 0.997667 | − | 0.0682697i | \(-0.0217478\pi\) |
−0.209558 | + | 0.977796i | \(0.567202\pi\) | |||||||
\(588\) | −12.4406 | − | 3.65288i | −0.513040 | − | 0.150642i | ||||
\(589\) | 7.49146 | − | 16.4040i | 0.308680 | − | 0.675915i | ||||
\(590\) | 5.57020 | + | 3.57975i | 0.229321 | + | 0.147376i | ||||
\(591\) | 14.5251 | − | 4.26496i | 0.597483 | − | 0.175437i | ||||
\(592\) | 0.251261 | − | 1.74756i | 0.0103268 | − | 0.0718242i | ||||
\(593\) | −11.8117 | − | 25.8641i | −0.485050 | − | 1.06211i | −0.981044 | − | 0.193785i | \(-0.937923\pi\) |
0.495994 | − | 0.868326i | \(-0.334804\pi\) | |||||||
\(594\) | −0.00750860 | − | 0.0522235i | −0.000308082 | − | 0.00214276i | ||||
\(595\) | 18.1210 | − | 11.6456i | 0.742887 | − | 0.477424i | ||||
\(596\) | 6.27512 | − | 7.24187i | 0.257039 | − | 0.296639i | ||||
\(597\) | 7.27085 | 0.297576 | ||||||||
\(598\) | 17.3498 | + | 11.0747i | 0.709487 | + | 0.452878i | ||||
\(599\) | 20.4760 | 0.836628 | 0.418314 | − | 0.908302i | \(-0.362621\pi\) | ||||
0.418314 | + | 0.908302i | \(0.362621\pi\) | |||||||
\(600\) | 0.654861 | − | 0.755750i | 0.0267346 | − | 0.0308533i | ||||
\(601\) | 17.9102 | − | 11.5102i | 0.730573 | − | 0.469511i | −0.121727 | − | 0.992564i | \(-0.538843\pi\) |
0.852300 | + | 0.523053i | \(0.175207\pi\) | |||||||
\(602\) | 7.04191 | + | 48.9776i | 0.287007 | + | 1.99618i | ||||
\(603\) | −4.56362 | − | 9.99293i | −0.185845 | − | 0.406944i | ||||
\(604\) | 2.41743 | − | 16.8136i | 0.0983639 | − | 0.684136i | ||||
\(605\) | −10.5518 | + | 3.09827i | −0.428990 | + | 0.125963i | ||||
\(606\) | 2.88197 | + | 1.85213i | 0.117072 | + | 0.0752377i | ||||
\(607\) | 6.37229 | − | 13.9534i | 0.258643 | − | 0.566350i | −0.735110 | − | 0.677948i | \(-0.762870\pi\) |
0.993753 | + | 0.111598i | \(0.0355969\pi\) | |||||||
\(608\) | 6.01166 | + | 1.76518i | 0.243805 | + | 0.0715876i | ||||
\(609\) | −13.6240 | − | 15.7229i | −0.552072 | − | 0.637125i | ||||
\(610\) | −5.28877 | − | 6.10356i | −0.214136 | − | 0.247126i | ||||
\(611\) | 8.33505 | + | 2.44739i | 0.337200 | + | 0.0990109i | ||||
\(612\) | −2.00260 | + | 4.38508i | −0.0809502 | + | 0.177256i | ||||
\(613\) | −14.9807 | − | 9.62754i | −0.605067 | − | 0.388853i | 0.201938 | − | 0.979398i | \(-0.435276\pi\) |
−0.807004 | + | 0.590546i | \(0.798913\pi\) | |||||||
\(614\) | −13.7937 | + | 4.05020i | −0.556669 | + | 0.163453i | ||||
\(615\) | 1.45482 | − | 10.1185i | 0.0586640 | − | 0.408017i | ||||
\(616\) | 0.0979341 | + | 0.214446i | 0.00394588 | + | 0.00864027i | ||||
\(617\) | 0.534474 | + | 3.71735i | 0.0215171 | + | 0.149655i | 0.997748 | − | 0.0670802i | \(-0.0213683\pi\) |
−0.976230 | + | 0.216735i | \(0.930459\pi\) | |||||||
\(618\) | −6.32665 | + | 4.06589i | −0.254495 | + | 0.163554i | ||||
\(619\) | 27.4537 | − | 31.6832i | 1.10346 | − | 1.27346i | 0.144622 | − | 0.989487i | \(-0.453803\pi\) |
0.958834 | − | 0.283969i | \(-0.0916512\pi\) | |||||||
\(620\) | −2.87827 | −0.115594 | ||||||||
\(621\) | −4.02651 | + | 2.60524i | −0.161578 | + | 0.104544i | ||||
\(622\) | −2.98626 | −0.119738 | ||||||||
\(623\) | −35.9901 | + | 41.5348i | −1.44191 | + | 1.66406i | ||||
\(624\) | 3.61056 | − | 2.32037i | 0.144538 | − | 0.0928890i | ||||
\(625\) | −0.142315 | − | 0.989821i | −0.00569259 | − | 0.0395929i | ||||
\(626\) | 4.34963 | + | 9.52435i | 0.173846 | + | 0.380670i | ||||
\(627\) | 0.0470448 | − | 0.327204i | 0.00187879 | − | 0.0130673i | ||||
\(628\) | −14.8827 | + | 4.36994i | −0.593883 | + | 0.174380i | ||||
\(629\) | 7.16000 | + | 4.60145i | 0.285488 | + | 0.183472i | ||||
\(630\) | 1.85620 | − | 4.06451i | 0.0739528 | − | 0.161934i | ||||
\(631\) | 25.3715 | + | 7.44974i | 1.01002 | + | 0.296569i | 0.744563 | − | 0.667552i | \(-0.232658\pi\) |
0.265460 | + | 0.964122i | \(0.414476\pi\) | |||||||
\(632\) | 7.76179 | + | 8.95759i | 0.308748 | + | 0.356314i | ||||
\(633\) | −4.07033 | − | 4.69741i | −0.161781 | − | 0.186705i | ||||
\(634\) | 20.6784 | + | 6.07173i | 0.821245 | + | 0.241139i | ||||
\(635\) | −1.76755 | + | 3.87039i | −0.0701430 | + | 0.153592i | ||||
\(636\) | −0.941176 | − | 0.604857i | −0.0373201 | − | 0.0239841i | ||||
\(637\) | −53.3934 | + | 15.6777i | −2.11552 | + | 0.621173i | ||||
\(638\) | −0.0349600 | + | 0.243152i | −0.00138408 | + | 0.00962650i | ||||
\(639\) | −3.82244 | − | 8.36997i | −0.151213 | − | 0.331111i | ||||
\(640\) | −0.142315 | − | 0.989821i | −0.00562549 | − | 0.0391261i | ||||
\(641\) | −34.9956 | + | 22.4903i | −1.38224 | + | 0.888313i | −0.999370 | − | 0.0354879i | \(-0.988701\pi\) |
−0.382872 | + | 0.923801i | \(0.625065\pi\) | |||||||
\(642\) | −11.8719 | + | 13.7009i | −0.468547 | + | 0.540732i | ||||
\(643\) | −18.2634 | −0.720238 | −0.360119 | − | 0.932906i | \(-0.617264\pi\) | ||||
−0.360119 | + | 0.932906i | \(0.617264\pi\) | |||||||
\(644\) | 13.9832 | − | 16.2383i | 0.551016 | − | 0.639878i | ||||
\(645\) | −11.0738 | −0.436031 | ||||||||
\(646\) | −19.7794 | + | 22.8266i | −0.778209 | + | 0.898102i | ||||
\(647\) | −17.2875 | + | 11.1100i | −0.679642 | + | 0.436779i | −0.834390 | − | 0.551175i | \(-0.814180\pi\) |
0.154748 | + | 0.987954i | \(0.450543\pi\) | |||||||
\(648\) | 0.142315 | + | 0.989821i | 0.00559065 | + | 0.0388839i | ||||
\(649\) | −0.145123 | − | 0.317774i | −0.00569656 | − | 0.0124737i | ||||
\(650\) | 0.610798 | − | 4.24820i | 0.0239575 | − | 0.166628i | ||||
\(651\) | −12.3400 | + | 3.62336i | −0.483644 | + | 0.142011i | ||||
\(652\) | 9.54093 | + | 6.13158i | 0.373652 | + | 0.240131i | ||||
\(653\) | 12.6327 | − | 27.6618i | 0.494357 | − | 1.08249i | −0.483905 | − | 0.875120i | \(-0.660782\pi\) |
0.978262 | − | 0.207371i | \(-0.0664906\pi\) | |||||||
\(654\) | −15.4475 | − | 4.53579i | −0.604045 | − | 0.177364i | ||||
\(655\) | 10.1914 | + | 11.7615i | 0.398211 | + | 0.459560i | ||||
\(656\) | −6.69434 | − | 7.72569i | −0.261370 | − | 0.301637i | ||||
\(657\) | 10.5400 | + | 3.09482i | 0.411205 | + | 0.120741i | ||||
\(658\) | 3.75702 | − | 8.22673i | 0.146464 | − | 0.320711i | ||||
\(659\) | 35.9253 | + | 23.0878i | 1.39945 | + | 0.899373i | 0.999850 | − | 0.0173164i | \(-0.00551224\pi\) |
0.399601 | + | 0.916689i | \(0.369149\pi\) | |||||||
\(660\) | −0.0506233 | + | 0.0148644i | −0.00197051 | + | 0.000578594i | ||||
\(661\) | 3.38048 | − | 23.5118i | 0.131486 | − | 0.914502i | −0.812134 | − | 0.583471i | \(-0.801694\pi\) |
0.943620 | − | 0.331031i | \(-0.107397\pi\) | |||||||
\(662\) | −10.4007 | − | 22.7744i | −0.404236 | − | 0.885153i | ||||
\(663\) | 2.94448 | + | 20.4793i | 0.114354 | + | 0.795352i | ||||
\(664\) | 10.6829 | − | 6.86550i | 0.414578 | − | 0.266433i | ||||
\(665\) | 18.3335 | − | 21.1579i | 0.710941 | − | 0.820469i | ||||
\(666\) | 1.76553 | 0.0684129 | ||||||||
\(667\) | 21.4054 | − | 6.35687i | 0.828821 | − | 0.246139i | ||||
\(668\) | 5.82919 | 0.225538 | ||||||||
\(669\) | 10.2372 | − | 11.8143i | 0.395792 | − | 0.456768i | ||||
\(670\) | −9.24175 | + | 5.93931i | −0.357040 | + | 0.229456i | ||||
\(671\) | 0.0606408 | + | 0.421766i | 0.00234101 | + | 0.0162821i | ||||
\(672\) | −1.85620 | − | 4.06451i | −0.0716045 | − | 0.156792i | ||||
\(673\) | 0.803425 | − | 5.58794i | 0.0309697 | − | 0.215399i | −0.968460 | − | 0.249170i | \(-0.919842\pi\) |
0.999430 | + | 0.0337702i | \(0.0107514\pi\) | |||||||
\(674\) | 2.77375 | − | 0.814447i | 0.106841 | − | 0.0313713i | ||||
\(675\) | 0.841254 | + | 0.540641i | 0.0323799 | + | 0.0208093i | ||||
\(676\) | 2.25165 | − | 4.93043i | 0.0866020 | − | 0.189632i | ||||
\(677\) | 45.6297 | + | 13.3981i | 1.75369 | + | 0.514930i | 0.991235 | − | 0.132109i | \(-0.0421748\pi\) |
0.762457 | + | 0.647039i | \(0.223993\pi\) | |||||||
\(678\) | 3.92299 | + | 4.52737i | 0.150661 | + | 0.173872i | ||||
\(679\) | 40.8881 | + | 47.1873i | 1.56914 | + | 1.81088i | ||||
\(680\) | 4.62544 | + | 1.35815i | 0.177378 | + | 0.0520827i | ||||
\(681\) | −0.345567 | + | 0.756687i | −0.0132422 | + | 0.0289963i | ||||
\(682\) | 0.127752 | + | 0.0821012i | 0.00489187 | + | 0.00314382i | ||||
\(683\) | 12.3414 | − | 3.62377i | 0.472232 | − | 0.138660i | −0.0369530 | − | 0.999317i | \(-0.511765\pi\) |
0.509185 | + | 0.860657i | \(0.329947\pi\) | |||||||
\(684\) | −0.891667 | + | 6.20168i | −0.0340937 | + | 0.237127i | ||||
\(685\) | −5.76530 | − | 12.6243i | −0.220281 | − | 0.482348i | ||||
\(686\) | 3.79366 | + | 26.3855i | 0.144843 | + | 1.00740i | ||||
\(687\) | 2.26251 | − | 1.45403i | 0.0863202 | − | 0.0554746i | ||||
\(688\) | −7.25181 | + | 8.36904i | −0.276473 | + | 0.319067i | ||||
\(689\) | −4.80166 | −0.182929 | ||||||||
\(690\) | 3.15175 | + | 3.61476i | 0.119985 | + | 0.137611i | ||||
\(691\) | 42.1084 | 1.60188 | 0.800940 | − | 0.598745i | \(-0.204334\pi\) | ||||
0.800940 | + | 0.598745i | \(0.204334\pi\) | |||||||
\(692\) | −11.0775 | + | 12.7842i | −0.421105 | + | 0.485981i | ||||
\(693\) | −0.198326 | + | 0.127456i | −0.00753377 | + | 0.00484166i | ||||
\(694\) | 2.90614 | + | 20.2127i | 0.110316 | + | 0.767262i | ||||
\(695\) | −4.12024 | − | 9.02208i | −0.156290 | − | 0.342227i | ||||
\(696\) | 0.662618 | − | 4.60861i | 0.0251165 | − | 0.174689i | ||||
\(697\) | 47.2838 | − | 13.8838i | 1.79100 | − | 0.525885i | ||||
\(698\) | 24.2507 | + | 15.5850i | 0.917902 | + | 0.589900i | ||||
\(699\) | 0.463015 | − | 1.01386i | 0.0175129 | − | 0.0383478i | ||||
\(700\) | −4.28731 | − | 1.25887i | −0.162045 | − | 0.0475807i | ||||
\(701\) | −29.0698 | − | 33.5484i | −1.09795 | − | 1.26710i | −0.961007 | − | 0.276525i | \(-0.910817\pi\) |
−0.136945 | − | 0.990579i | \(-0.543728\pi\) | |||||||
\(702\) | 2.81058 | + | 3.24359i | 0.106079 | + | 0.122421i | ||||
\(703\) | 10.6138 | + | 3.11648i | 0.400306 | + | 0.117540i | ||||
\(704\) | −0.0219175 | + | 0.0479926i | −0.000826047 | + | 0.00180879i | ||||
\(705\) | 1.70273 | + | 1.09428i | 0.0641285 | + | 0.0412129i | ||||
\(706\) | −7.77767 | + | 2.28373i | −0.292716 | + | 0.0859493i | ||||
\(707\) | 2.17849 | − | 15.1518i | 0.0819307 | − | 0.569840i | ||||
\(708\) | 2.75059 | + | 6.02295i | 0.103374 | + | 0.226356i | ||||
\(709\) | 1.86756 | + | 12.9892i | 0.0701376 | + | 0.487818i | 0.994368 | + | 0.105983i | \(0.0337988\pi\) |
−0.924230 | + | 0.381835i | \(0.875292\pi\) | |||||||
\(710\) | −7.74078 | + | 4.97470i | −0.290506 | + | 0.186697i | ||||
\(711\) | −7.76179 | + | 8.95759i | −0.291090 | + | 0.335936i | ||||
\(712\) | −12.2996 | −0.460947 | ||||||||
\(713\) | 1.92238 | − | 13.6692i | 0.0719938 | − | 0.511915i | ||||
\(714\) | 21.5404 | 0.806130 | ||||||||
\(715\) | −0.148288 | + | 0.171133i | −0.00554565 | + | 0.00640002i | ||||
\(716\) | −9.83545 | + | 6.32086i | −0.367568 | + | 0.236222i | ||||
\(717\) | 1.11685 | + | 7.76788i | 0.0417096 | + | 0.290097i | ||||
\(718\) | 1.73771 | + | 3.80505i | 0.0648506 | + | 0.142003i | ||||
\(719\) | −5.45301 | + | 37.9265i | −0.203363 | + | 1.41442i | 0.590851 | + | 0.806781i | \(0.298792\pi\) |
−0.794213 | + | 0.607639i | \(0.792117\pi\) | |||||||
\(720\) | 0.959493 | − | 0.281733i | 0.0357582 | − | 0.0104996i | ||||
\(721\) | 28.2694 | + | 18.1676i | 1.05281 | + | 0.676598i | ||||
\(722\) | −8.41461 | + | 18.4254i | −0.313159 | + | 0.685723i | ||||
\(723\) | 17.9350 | + | 5.26619i | 0.667010 | + | 0.195852i | ||||
\(724\) | 12.5260 | + | 14.4557i | 0.465524 | + | 0.537243i | ||||
\(725\) | −3.04903 | − | 3.51877i | −0.113238 | − | 0.130684i | ||||
\(726\) | −10.5518 | − | 3.09827i | −0.391612 | − | 0.114988i | ||||
\(727\) | −3.34105 | + | 7.31588i | −0.123913 | + | 0.271331i | −0.961415 | − | 0.275103i | \(-0.911288\pi\) |
0.837502 | + | 0.546434i | \(0.184015\pi\) | |||||||
\(728\) | −16.1331 | − | 10.3681i | −0.597932 | − | 0.384268i | ||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | 1.56332 | − | 10.8732i | 0.0578612 | − | 0.402434i | ||||
\(731\) | −22.1764 | − | 48.5595i | −0.820224 | − | 1.79604i | ||||
\(732\) | −1.14936 | − | 7.99397i | −0.0424815 | − | 0.295466i | ||||
\(733\) | 18.1580 | − | 11.6694i | 0.670680 | − | 0.431020i | −0.160491 | − | 0.987037i | \(-0.551308\pi\) |
0.831170 | + | 0.556018i | \(0.187671\pi\) | |||||||
\(734\) | −19.1702 | + | 22.1236i | −0.707586 | + | 0.816597i | ||||
\(735\) | −12.9658 | −0.478249 | ||||||||
\(736\) | 4.79581 | − | 0.0147701i | 0.176776 | − | 0.000544434i | ||||
\(737\) | 0.579610 | 0.0213502 | ||||||||
\(738\) | 6.69434 | − | 7.72569i | 0.246422 | − | 0.284386i | ||||
\(739\) | 10.8994 | − | 7.00463i | 0.400942 | − | 0.257669i | −0.324595 | − | 0.945853i | \(-0.605228\pi\) |
0.725537 | + | 0.688184i | \(0.241592\pi\) | |||||||
\(740\) | −0.251261 | − | 1.74756i | −0.00923654 | − | 0.0642415i | ||||
\(741\) | 11.1708 | + | 24.4605i | 0.410368 | + | 0.898580i | ||||
\(742\) | −0.711438 | + | 4.94816i | −0.0261177 | + | 0.181653i | ||||
\(743\) | −18.2391 | + | 5.35548i | −0.669127 | + | 0.196473i | −0.598614 | − | 0.801038i | \(-0.704282\pi\) |
−0.0705126 | + | 0.997511i | \(0.522464\pi\) | |||||||
\(744\) | −2.42136 | − | 1.55611i | −0.0887712 | − | 0.0570498i | ||||
\(745\) | 3.98066 | − | 8.71643i | 0.145840 | − | 0.319345i | ||||
\(746\) | −8.84108 | − | 2.59598i | −0.323695 | − | 0.0950454i | ||||
\(747\) | 8.31596 | + | 9.59713i | 0.304265 | + | 0.351141i | ||||
\(748\) | −0.166559 | − | 0.192220i | −0.00609002 | − | 0.00702825i | ||||
\(749\) | 77.7242 | + | 22.8219i | 2.83998 | + | 0.833894i | ||||
\(750\) | 0.415415 | − | 0.909632i | 0.0151688 | − | 0.0332151i | ||||
\(751\) | −6.83179 | − | 4.39052i | −0.249296 | − | 0.160212i | 0.410025 | − | 0.912074i | \(-0.365520\pi\) |
−0.659321 | + | 0.751862i | \(0.729156\pi\) | |||||||
\(752\) | 1.94205 | − | 0.570237i | 0.0708193 | − | 0.0207944i | ||||
\(753\) | 0.182386 | − | 1.26852i | 0.00664650 | − | 0.0462275i | ||||
\(754\) | −8.30124 | − | 18.1772i | −0.302313 | − | 0.661974i | ||||
\(755\) | −2.41743 | − | 16.8136i | −0.0879793 | − | 0.611910i | ||||
\(756\) | 3.75898 | − | 2.41575i | 0.136713 | − | 0.0878599i | ||||
\(757\) | −9.48588 | + | 10.9473i | −0.344770 | + | 0.397886i | −0.901480 | − | 0.432821i | \(-0.857518\pi\) |
0.556710 | + | 0.830707i | \(0.312064\pi\) | |||||||
\(758\) | −16.9114 | −0.614249 | ||||||||
\(759\) | −0.0367812 | − | 0.250343i | −0.00133507 | − | 0.00908687i | ||||
\(760\) | 6.26545 | 0.227272 | ||||||||
\(761\) | 3.04457 | − | 3.51362i | 0.110366 | − | 0.127369i | −0.697879 | − | 0.716216i | \(-0.745873\pi\) |
0.808244 | + | 0.588847i | \(0.200418\pi\) | |||||||
\(762\) | −3.57945 | + | 2.30037i | −0.129670 | + | 0.0833336i | ||||
\(763\) | 10.2379 | + | 71.2059i | 0.370635 | + | 2.57783i | ||||
\(764\) | 1.93697 | + | 4.24138i | 0.0700772 | + | 0.153448i | ||||
\(765\) | −0.686059 | + | 4.77165i | −0.0248045 | + | 0.172519i | ||||
\(766\) | −9.95447 | + | 2.92290i | −0.359670 | + | 0.105608i | ||||
\(767\) | 23.9066 | + | 15.3639i | 0.863218 | + | 0.554757i | ||||
\(768\) | 0.415415 | − | 0.909632i | 0.0149900 | − | 0.0328235i | ||||
\(769\) | 19.4224 | + | 5.70295i | 0.700391 | + | 0.205653i | 0.612493 | − | 0.790476i | \(-0.290167\pi\) |
0.0878984 | + | 0.996129i | \(0.471985\pi\) | |||||||
\(770\) | 0.154383 | + | 0.178168i | 0.00556359 | + | 0.00642073i | ||||
\(771\) | −0.192896 | − | 0.222613i | −0.00694697 | − | 0.00801723i | ||||
\(772\) | −13.5300 | − | 3.97277i | −0.486955 | − | 0.142983i | ||||
\(773\) | −9.07041 | + | 19.8614i | −0.326240 | + | 0.714365i | −0.999691 | − | 0.0248664i | \(-0.992084\pi\) |
0.673451 | + | 0.739232i | \(0.264811\pi\) | |||||||
\(774\) | −9.31589 | − | 5.98696i | −0.334853 | − | 0.215197i | ||||
\(775\) | −2.76168 | + | 0.810902i | −0.0992025 | + | 0.0291285i | ||||
\(776\) | −1.98863 | + | 13.8313i | −0.0713878 | + | 0.496513i | ||||
\(777\) | −3.27718 | − | 7.17602i | −0.117568 | − | 0.257438i | ||||
\(778\) | −2.93832 | − | 20.4365i | −0.105344 | − | 0.732682i | ||||
\(779\) | 53.8814 | − | 34.6274i | 1.93050 | − | 1.24066i | ||||
\(780\) | 2.81058 | − | 3.24359i | 0.100635 | − | 0.116139i | ||||
\(781\) | 0.485475 | 0.0173717 | ||||||||
\(782\) | −9.53930 | + | 21.0596i | −0.341125 | + | 0.753088i | ||||
\(783\) | 4.65600 | 0.166392 | ||||||||
\(784\) | −8.49076 | + | 9.79886i | −0.303242 | + | 0.349959i | ||||
\(785\) | −13.0487 | + | 8.38586i | −0.465726 | + | 0.299304i | ||||
\(786\) | 2.21480 | + | 15.4043i | 0.0789994 | + | 0.549453i | ||||
\(787\) | 18.1988 | + | 39.8499i | 0.648718 | + | 1.42049i | 0.892672 | + | 0.450708i | \(0.148828\pi\) |
−0.243953 | + | 0.969787i | \(0.578444\pi\) | |||||||
\(788\) | 2.15441 | − | 14.9842i | 0.0767476 | − | 0.533791i | ||||
\(789\) | 16.5765 | − | 4.86731i | 0.590140 | − | 0.173281i | ||||
\(790\) | 9.97103 | + | 6.40799i | 0.354753 | + | 0.227986i | ||||
\(791\) | 11.1197 | − | 24.3487i | 0.395371 | − | 0.865741i | ||||
\(792\) | −0.0506233 | − | 0.0148644i | −0.00179882 | − | 0.000528182i | ||||
\(793\) | −22.6988 | − | 26.1958i | −0.806057 | − | 0.930239i | ||||
\(794\) | −12.5279 | − | 14.4580i | −0.444598 | − | 0.513094i | ||||
\(795\) | −1.07346 | − | 0.315196i | −0.0380717 | − | 0.0111789i | ||||
\(796\) | 3.02042 | − | 6.61380i | 0.107056 | − | 0.234420i | ||||
\(797\) | −15.7465 | − | 10.1197i | −0.557771 | − | 0.358458i | 0.231183 | − | 0.972910i | \(-0.425740\pi\) |
−0.788954 | + | 0.614453i | \(0.789377\pi\) | |||||||
\(798\) | 26.8619 | − | 7.88737i | 0.950902 | − | 0.279210i | ||||
\(799\) | −1.38861 | + | 9.65799i | −0.0491255 | + | 0.341675i | ||||
\(800\) | −0.415415 | − | 0.909632i | −0.0146871 | − | 0.0321603i | ||||
\(801\) | −1.75042 | − | 12.1744i | −0.0618479 | − | 0.430162i | ||||
\(802\) | 21.5830 | − | 13.8706i | 0.762123 | − | 0.489787i | ||||
\(803\) | −0.379539 | + | 0.438012i | −0.0133936 | + | 0.0154571i | ||||
\(804\) | −10.9857 | −0.387435 | ||||||||
\(805\) | 8.84195 | − | 19.5200i | 0.311638 | − | 0.687991i | ||||
\(806\) | −12.3532 | −0.435123 | ||||||||
\(807\) | −11.0324 | + | 12.7321i | −0.388359 | + | 0.448190i | ||||
\(808\) | 2.88197 | − | 1.85213i | 0.101387 | − | 0.0651578i | ||||
\(809\) | −2.27767 | − | 15.8415i | −0.0800785 | − | 0.556958i | −0.989879 | − | 0.141913i | \(-0.954675\pi\) |
0.909801 | − | 0.415045i | \(-0.136234\pi\) | |||||||
\(810\) | 0.415415 | + | 0.909632i | 0.0145962 | + | 0.0319612i | ||||
\(811\) | −0.989604 | + | 6.88284i | −0.0347497 | + | 0.241689i | −0.999792 | − | 0.0204056i | \(-0.993504\pi\) |
0.965042 | + | 0.262095i | \(0.0844134\pi\) | |||||||
\(812\) | −19.9617 | + | 5.86128i | −0.700518 | + | 0.205691i | ||||
\(813\) | −7.09452 | − | 4.55937i | −0.248816 | − | 0.159904i | ||||
\(814\) | −0.0386960 | + | 0.0847324i | −0.00135629 | + | 0.00296987i | ||||
\(815\) | 10.8819 | + | 3.19522i | 0.381177 | + | 0.111924i | ||||
\(816\) | 3.15690 | + | 3.64325i | 0.110513 | + | 0.127539i | ||||
\(817\) | −45.4359 | − | 52.4358i | −1.58960 | − | 1.83450i | ||||
\(818\) | −28.9304 | − | 8.49473i | −1.01153 | − | 0.297011i | ||||
\(819\) | 7.96660 | − | 17.4444i | 0.278375 | − | 0.609557i | ||||
\(820\) | −8.59975 | − | 5.52673i | −0.300316 | − | 0.193002i | ||||
\(821\) | −23.4536 | + | 6.88661i | −0.818537 | + | 0.240344i | −0.664086 | − | 0.747656i | \(-0.731179\pi\) |
−0.154451 | + | 0.988000i | \(0.549361\pi\) | |||||||
\(822\) | 1.97510 | − | 13.7372i | 0.0688897 | − | 0.479138i | ||||
\(823\) | 22.6547 | + | 49.6069i | 0.789693 | + | 1.72919i | 0.677528 | + | 0.735497i | \(0.263051\pi\) |
0.112165 | + | 0.993690i | \(0.464221\pi\) | |||||||
\(824\) | 1.07028 | + | 7.44395i | 0.0372849 | + | 0.259322i | ||||
\(825\) | −0.0443850 | + | 0.0285245i | −0.00154529 | + | 0.000993095i | ||||
\(826\) | 19.3747 | − | 22.3596i | 0.674133 | − | 0.777991i | ||||
\(827\) | 35.4697 | 1.23340 | 0.616702 | − | 0.787197i | \(-0.288468\pi\) | ||||
0.616702 | + | 0.787197i | \(0.288468\pi\) | |||||||
\(828\) | 0.697135 | + | 4.74489i | 0.0242271 | + | 0.164896i | ||||
\(829\) | −31.5209 | −1.09477 | −0.547384 | − | 0.836882i | \(-0.684376\pi\) | ||||
−0.547384 | + | 0.836882i | \(0.684376\pi\) | |||||||
\(830\) | 8.31596 | − | 9.59713i | 0.288651 | − | 0.333121i | ||||
\(831\) | 11.9911 | − | 7.70620i | 0.415966 | − | 0.267325i | ||||
\(832\) | −0.610798 | − | 4.24820i | −0.0211756 | − | 0.147280i | ||||
\(833\) | −25.9652 | − | 56.8558i | −0.899640 | − | 1.96994i | ||||
\(834\) | 1.41153 | − | 9.81743i | 0.0488774 | − | 0.339950i | ||||
\(835\) | 5.59306 | − | 1.64227i | 0.193556 | − | 0.0568331i | ||||
\(836\) | −0.278092 | − | 0.178719i | −0.00961801 | − | 0.00618112i | ||||
\(837\) | 1.19568 | − | 2.61817i | 0.0413286 | − | 0.0904971i | ||||
\(838\) | −20.3649 | − | 5.97967i | −0.703493 | − | 0.206564i | ||||
\(839\) | −31.0288 | − | 35.8091i | −1.07123 | − | 1.23627i | −0.970436 | − | 0.241360i | \(-0.922407\pi\) |
−0.100796 | − | 0.994907i | \(-0.532139\pi\) | |||||||
\(840\) | −2.92612 | − | 3.37692i | −0.100961 | − | 0.116515i | ||||
\(841\) | 7.02510 | + | 2.06276i | 0.242245 | + | 0.0711295i | ||||
\(842\) | 5.13084 | − | 11.2350i | 0.176820 | − | 0.387182i | ||||
\(843\) | 20.0549 | + | 12.8885i | 0.690726 | + | 0.443903i | ||||
\(844\) | −5.96379 | + | 1.75113i | −0.205282 | + | 0.0602763i | ||||
\(845\) | 0.771382 | − | 5.36508i | 0.0265363 | − | 0.184564i | ||||
\(846\) | 0.840816 | + | 1.84113i | 0.0289078 | + | 0.0632994i | ||||
\(847\) | 6.99320 | + | 48.6388i | 0.240289 | + | 1.67125i | ||||
\(848\) | −0.941176 | + | 0.604857i | −0.0323201 | + | 0.0207709i | ||||
\(849\) | −11.0146 | + | 12.7115i | −0.378019 | + | 0.436257i | ||||
\(850\) | 4.82071 | 0.165349 | ||||||||
\(851\) | 8.46714 | − | 0.0260771i | 0.290250 | − | 0.000893911i | ||||
\(852\) | −9.20149 | −0.315238 | ||||||||
\(853\) | −16.7167 | + | 19.2921i | −0.572370 | + | 0.660550i | −0.965947 | − | 0.258742i | \(-0.916692\pi\) |
0.393577 | + | 0.919292i | \(0.371238\pi\) | |||||||
\(854\) | −30.3581 | + | 19.5100i | −1.03883 | + | 0.667618i | ||||
\(855\) | 0.891667 | + | 6.20168i | 0.0304944 | + | 0.212093i | ||||
\(856\) | 7.53102 | + | 16.4906i | 0.257405 | + | 0.563638i | ||||
\(857\) | −1.81800 | + | 12.6445i | −0.0621018 | + | 0.431928i | 0.934923 | + | 0.354850i | \(0.115468\pi\) |
−0.997025 | + | 0.0770777i | \(0.975441\pi\) | |||||||
\(858\) | −0.217269 | + | 0.0637960i | −0.00741745 | + | 0.00217796i | ||||
\(859\) | −42.4930 | − | 27.3086i | −1.44984 | − | 0.931757i | −0.999238 | − | 0.0390324i | \(-0.987572\pi\) |
−0.450604 | − | 0.892724i | \(-0.648791\pi\) | |||||||
\(860\) | −4.60023 | + | 10.0731i | −0.156867 | + | 0.343490i | ||||
\(861\) | −43.8272 | − | 12.8688i | −1.49363 | − | 0.438568i | ||||
\(862\) | 6.47696 | + | 7.47481i | 0.220606 | + | 0.254593i | ||||
\(863\) | −24.9207 | − | 28.7600i | −0.848310 | − | 0.979002i | 0.151645 | − | 0.988435i | \(-0.451543\pi\) |
−0.999956 | + | 0.00943269i | \(0.996997\pi\) | |||||||
\(864\) | 0.959493 | + | 0.281733i | 0.0326426 | + | 0.00958474i | ||||
\(865\) | −7.02710 | + | 15.3872i | −0.238929 | + | 0.523181i | ||||
\(866\) | 23.3220 | + | 14.9881i | 0.792512 | + | 0.509317i | ||||
\(867\) | −5.98654 | + | 1.75781i | −0.203314 | + | 0.0596983i | ||||
\(868\) | −1.83031 | + | 12.7301i | −0.0621248 | + | 0.432087i | ||||
\(869\) | −0.259779 | − | 0.568837i | −0.00881240 | − | 0.0192965i | ||||
\(870\) | −0.662618 | − | 4.60861i | −0.0224648 | − | 0.156246i | ||||
\(871\) | −39.6645 | + | 25.4908i | −1.34398 | + | 0.863724i | ||||
\(872\) | −10.5430 | + | 12.1673i | −0.357032 | + | 0.412037i | ||||
\(873\) | −13.9735 | −0.472931 | ||||||||
\(874\) | −4.18466 | + | 29.7552i | −0.141548 | + | 1.00649i | ||||
\(875\) | −4.46831 | −0.151056 | ||||||||
\(876\) | 7.19362 | − | 8.30189i | 0.243050 | − | 0.280495i | ||||
\(877\) | 19.1353 | − | 12.2975i | 0.646153 | − | 0.415258i | −0.176105 | − | 0.984371i | \(-0.556350\pi\) |
0.822259 | + | 0.569114i | \(0.192714\pi\) | |||||||
\(878\) | 1.37790 | + | 9.58348i | 0.0465018 | + | 0.323427i | ||||
\(879\) | −1.93000 | − | 4.22612i | −0.0650974 | − | 0.142544i | ||||
\(880\) | −0.00750860 | + | 0.0522235i | −0.000253115 | + | 0.00176045i | ||||
\(881\) | 9.83198 | − | 2.88693i | 0.331248 | − | 0.0972631i | −0.111880 | − | 0.993722i | \(-0.535687\pi\) |
0.443127 | + | 0.896459i | \(0.353869\pi\) | |||||||
\(882\) | −10.9075 | − | 7.00982i | −0.367274 | − | 0.236033i | ||||
\(883\) | 13.8870 | − | 30.4082i | 0.467333 | − | 1.02332i | −0.518421 | − | 0.855126i | \(-0.673480\pi\) |
0.985754 | − | 0.168192i | \(-0.0537928\pi\) | |||||||
\(884\) | 19.8518 | + | 5.82903i | 0.667690 | + | 0.196051i | ||||
\(885\) | 4.33603 | + | 5.00405i | 0.145754 | + | 0.168209i | ||||
\(886\) | 0.756277 | + | 0.872790i | 0.0254076 | + | 0.0293219i | ||||
\(887\) | 9.26429 | + | 2.72024i | 0.311064 | + | 0.0913367i | 0.433539 | − | 0.901135i | \(-0.357265\pi\) |
−0.122474 | + | 0.992472i | \(0.539083\pi\) | |||||||
\(888\) | 0.733427 | − | 1.60598i | 0.0246122 | − | 0.0538932i | ||||
\(889\) | 15.9941 | + | 10.2788i | 0.536424 | + | 0.344739i | ||||
\(890\) | −11.8014 | + | 3.46520i | −0.395583 | + | 0.116154i | ||||
\(891\) | 0.00750860 | − | 0.0522235i | 0.000251548 | − | 0.00174955i | ||||
\(892\) | −6.49401 | − | 14.2199i | −0.217436 | − | 0.476117i | ||||
\(893\) | 1.80477 | + | 12.5524i | 0.0603943 | + | 0.420051i | ||||
\(894\) | 8.06120 | − | 5.18062i | 0.269607 | − | 0.173266i | ||||
\(895\) | −7.65625 | + | 8.83578i | −0.255920 | + | 0.295348i | ||||
\(896\) | −4.46831 | −0.149276 | ||||||||
\(897\) | 13.5269 | + | 15.5141i | 0.451651 | + | 0.518001i | ||||
\(898\) | 14.8721 | 0.496289 | ||||||||
\(899\) | −8.77593 | + | 10.1280i | −0.292694 | + | 0.337787i | ||||
\(900\) | 0.841254 | − | 0.540641i | 0.0280418 | − | 0.0180214i | ||||
\(901\) | −0.767548 | − | 5.33841i | −0.0255707 | − | 0.177848i | ||||
\(902\) | 0.224053 | + | 0.490607i | 0.00746014 | + | 0.0163354i | ||||
\(903\) | −7.04191 | + | 48.9776i | −0.234340 | + | 1.62987i | ||||
\(904\) | 5.74791 | − | 1.68774i | 0.191172 | − | 0.0561333i | ||||
\(905\) | 16.0912 | + | 10.3412i | 0.534890 | + | 0.343753i | ||||
\(906\) | 7.05645 | − | 15.4515i | 0.234435 | − | 0.513340i | ||||
\(907\) | −25.7204 | − | 7.55218i | −0.854031 | − | 0.250766i | −0.174721 | − | 0.984618i | \(-0.555902\pi\) |
−0.679310 | + | 0.733852i | \(0.737721\pi\) | |||||||
\(908\) | 0.544753 | + | 0.628678i | 0.0180783 | + | 0.0208634i | ||||
\(909\) | 2.24343 | + | 2.58905i | 0.0744098 | + | 0.0858735i | ||||
\(910\) | −18.4006 | − | 5.40291i | −0.609975 | − | 0.179105i | ||||
\(911\) | 2.94996 | − | 6.45951i | 0.0977365 | − | 0.214013i | −0.854448 | − | 0.519537i | \(-0.826104\pi\) |
0.952184 | + | 0.305524i | \(0.0988316\pi\) | |||||||
\(912\) | 5.27083 | + | 3.38736i | 0.174535 | + | 0.112167i | ||||
\(913\) | −0.642857 | + | 0.188760i | −0.0212755 | + | 0.00624704i | ||||
\(914\) | −5.27616 | + | 36.6965i | −0.174520 | + | 1.21381i | ||||
\(915\) | −3.35496 | − | 7.34634i | −0.110912 | − | 0.242863i | ||||
\(916\) | −0.382749 | − | 2.66208i | −0.0126464 | − | 0.0879575i | ||||
\(917\) | 58.4998 | − | 37.5956i | 1.93183 | − | 1.24151i | ||||
\(918\) | −3.15690 | + | 3.64325i | −0.104193 | + | 0.120245i | ||||
\(919\) | 44.6714 | 1.47357 | 0.736787 | − | 0.676125i | \(-0.236342\pi\) | ||||
0.736787 | + | 0.676125i | \(0.236342\pi\) | |||||||
\(920\) | 4.59738 | − | 1.36531i | 0.151571 | − | 0.0450128i | ||||
\(921\) | −14.3761 | −0.473707 | ||||||||
\(922\) | 7.02301 | − | 8.10498i | 0.231290 | − | 0.266923i | ||||
\(923\) | −33.2225 | + | 21.3508i | −1.09353 | + | 0.702771i | ||||
\(924\) | 0.0335507 | + | 0.233350i | 0.00110374 | + | 0.00767667i | ||||
\(925\) | −0.733427 | − | 1.60598i | −0.0241149 | − | 0.0528044i | ||||
\(926\) | 3.15595 | − | 21.9501i | 0.103711 | − | 0.721325i | ||||
\(927\) | −7.21586 | + | 2.11877i | −0.237000 | + | 0.0695895i | ||||
\(928\) | −3.91688 | − | 2.51722i | −0.128578 | − | 0.0826319i | ||||
\(929\) | −21.2025 | + | 46.4270i | −0.695631 | + | 1.52322i | 0.149559 | + | 0.988753i | \(0.452215\pi\) |
−0.845190 | + | 0.534467i | \(0.820513\pi\) | |||||||
\(930\) | −2.76168 | − | 0.810902i | −0.0905591 | − | 0.0265905i | ||||
\(931\) | −53.1985 | − | 61.3943i | −1.74351 | − | 2.01212i | ||||
\(932\) | −0.729898 | − | 0.842347i | −0.0239086 | − | 0.0275920i | ||||
\(933\) | −2.86529 | − | 0.841326i | −0.0938055 | − | 0.0275438i | ||||
\(934\) | 14.5731 | − | 31.9107i | 0.476847 | − | 1.04415i | ||||
\(935\) | −0.213967 | − | 0.137508i | −0.00699747 | − | 0.00449700i | ||||
\(936\) | 4.11803 | − | 1.20916i | 0.134602 | − | 0.0395227i | ||||
\(937\) | −2.10405 | + | 14.6340i | −0.0687363 | + | 0.478071i | 0.926157 | + | 0.377138i | \(0.123092\pi\) |
−0.994893 | + | 0.100933i | \(0.967817\pi\) | |||||||
\(938\) | 20.3916 | + | 44.6515i | 0.665811 | + | 1.45792i | ||||
\(939\) | 1.49012 | + | 10.3640i | 0.0486281 | + | 0.338216i | ||||
\(940\) | 1.70273 | − | 1.09428i | 0.0555369 | − | 0.0356914i | ||||
\(941\) | 9.02656 | − | 10.4172i | 0.294257 | − | 0.339591i | −0.589300 | − | 0.807914i | \(-0.700596\pi\) |
0.883557 | + | 0.468323i | \(0.155142\pi\) | |||||||
\(942\) | −15.5110 | −0.505374 | ||||||||
\(943\) | 31.9907 | − | 37.1498i | 1.04176 | − | 1.20976i | ||||
\(944\) | 6.62131 | 0.215505 | ||||||||
\(945\) | 2.92612 | − | 3.37692i | 0.0951866 | − | 0.109851i | ||||
\(946\) | 0.491511 | − | 0.315875i | 0.0159804 | − | 0.0102700i | ||||
\(947\) | −3.68272 | − | 25.6139i | −0.119672 | − | 0.832339i | −0.957917 | − | 0.287045i | \(-0.907327\pi\) |
0.838245 | − | 0.545294i | \(-0.183582\pi\) | |||||||
\(948\) | 4.92374 | + | 10.7815i | 0.159916 | + | 0.350167i | ||||
\(949\) | 6.70960 | − | 46.6663i | 0.217803 | − | 1.51485i | ||||
\(950\) | 6.01166 | − | 1.76518i | 0.195044 | − | 0.0572701i | ||||
\(951\) | 18.1302 | + | 11.6516i | 0.587912 | + | 0.377828i | ||||
\(952\) | 8.94821 | − | 19.5939i | 0.290013 | − | 0.635041i | ||||
\(953\) | −13.8682 | − | 4.07208i | −0.449236 | − | 0.131908i | 0.0492859 | − | 0.998785i | \(-0.484305\pi\) |
−0.498522 | + | 0.866877i | \(0.666124\pi\) | |||||||
\(954\) | −0.732644 | − | 0.845516i | −0.0237202 | − | 0.0273746i | ||||
\(955\) | 3.05345 | + | 3.52387i | 0.0988072 | + | 0.114030i | ||||
\(956\) | 7.52987 | + | 2.21097i | 0.243534 | + | 0.0715079i | ||||
\(957\) | −0.102048 | + | 0.223454i | −0.00329874 | + | 0.00722323i | ||||
\(958\) | −33.0353 | − | 21.2305i | −1.06732 | − | 0.685927i | ||||
\(959\) | −59.5010 | + | 17.4711i | −1.92139 | + | 0.564171i | ||||
\(960\) | 0.142315 | − | 0.989821i | 0.00459319 | − | 0.0319463i | ||||
\(961\) | −9.43638 | − | 20.6628i | −0.304399 | − | 0.666542i | ||||
\(962\) | −1.07838 | − | 7.50032i | −0.0347685 | − | 0.241820i | ||||
\(963\) | −15.2510 | + | 9.80123i | −0.491457 | + | 0.315840i | ||||
\(964\) | 12.2408 | − | 14.1266i | 0.394249 | − | 0.454987i | ||||
\(965\) | −14.1012 | −0.453934 | ||||||||
\(966\) | 17.9917 | − | 11.6410i | 0.578872 | − | 0.374543i | ||||
\(967\) | 6.60272 | 0.212329 | 0.106165 | − | 0.994349i | \(-0.466143\pi\) | ||||
0.106165 | + | 0.994349i | \(0.466143\pi\) | |||||||
\(968\) | −7.20165 | + | 8.31114i | −0.231470 | + | 0.267130i | ||||
\(969\) | −25.4092 | + | 16.3295i | −0.816261 | + | 0.524579i | ||||
\(970\) | 1.98863 | + | 13.8313i | 0.0638512 | + | 0.444095i | ||||
\(971\) | −22.7138 | − | 49.7363i | −0.728921 | − | 1.59611i | −0.800963 | − | 0.598713i | \(-0.795679\pi\) |
0.0720423 | − | 0.997402i | \(-0.477048\pi\) | |||||||
\(972\) | −0.142315 | + | 0.989821i | −0.00456475 | + | 0.0317485i | ||||
\(973\) | −42.5232 | + | 12.4859i | −1.36323 | + | 0.400280i | ||||
\(974\) | 5.51403 | + | 3.54365i | 0.176681 | + | 0.113546i | ||||
\(975\) | 1.78291 | − | 3.90403i | 0.0570989 | − | 0.125029i | ||||
\(976\) | −7.74903 | − | 2.27532i | −0.248040 | − | 0.0728312i | ||||
\(977\) | −2.96009 | − | 3.41613i | −0.0947018 | − | 0.109292i | 0.706420 | − | 0.707792i | \(-0.250309\pi\) |
−0.801122 | + | 0.598501i | \(0.795763\pi\) | |||||||
\(978\) | 7.42699 | + | 8.57120i | 0.237489 | + | 0.274077i | ||||
\(979\) | 0.622647 | + | 0.182826i | 0.0198999 | + | 0.00584313i | ||||
\(980\) | −5.38617 | + | 11.7941i | −0.172055 | + | 0.376748i | ||||
\(981\) | −13.5439 | − | 8.70412i | −0.432423 | − | 0.277901i | ||||
\(982\) | 28.2282 | − | 8.28854i | 0.900797 | − | 0.264498i | ||||
\(983\) | −8.16867 | + | 56.8144i | −0.260540 | + | 1.81210i | 0.268256 | + | 0.963348i | \(0.413553\pi\) |
−0.528796 | + | 0.848749i | \(0.677356\pi\) | |||||||
\(984\) | −4.24660 | − | 9.29876i | −0.135377 | − | 0.296434i | ||||
\(985\) | −2.15441 | − | 14.9842i | −0.0686451 | − | 0.477437i | ||||
\(986\) | 18.8821 | − | 12.1348i | 0.601330 | − | 0.386451i | ||||
\(987\) | 5.92257 | − | 6.83502i | 0.188518 | − | 0.217561i | ||||
\(988\) | 26.8906 | 0.855503 | ||||||||
\(989\) | −44.7657 | − | 28.5747i | −1.42347 | − | 0.908623i | ||||
\(990\) | −0.0527605 | −0.00167684 | ||||||||
\(991\) | 17.0968 | − | 19.7308i | 0.543098 | − | 0.626768i | −0.416163 | − | 0.909290i | \(-0.636625\pi\) |
0.959261 | + | 0.282522i | \(0.0911709\pi\) | |||||||
\(992\) | −2.42136 | + | 1.55611i | −0.0768781 | + | 0.0494066i | ||||
\(993\) | −3.56313 | − | 24.7821i | −0.113073 | − | 0.786437i | ||||
\(994\) | 17.0798 | + | 37.3996i | 0.541739 | + | 1.18624i | ||||
\(995\) | 1.03475 | − | 7.19684i | 0.0328038 | − | 0.228155i | ||||
\(996\) | 12.1844 | − | 3.57767i | 0.386079 | − | 0.113363i | ||||
\(997\) | 47.4011 | + | 30.4628i | 1.50121 | + | 0.964768i | 0.994732 | + | 0.102514i | \(0.0326886\pi\) |
0.506476 | + | 0.862254i | \(0.330948\pi\) | |||||||
\(998\) | 2.20730 | − | 4.83331i | 0.0698708 | − | 0.152996i | ||||
\(999\) | 1.69401 | + | 0.497407i | 0.0535962 | + | 0.0157373i |
(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 | 690.2.m.h.361.1 | yes | 30 | |
23.13 | even | 11 | inner | 690.2.m.h.151.1 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.h.151.1 | ✓ | 30 | 23.13 | even | 11 | inner | |
690.2.m.h.361.1 | yes | 30 | 1.1 | even | 1 | trivial |