Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(85,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.q (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 85.3 | ||
Character | \(\chi\) | \(=\) | 966.85 |
Dual form | 966.2.q.j.841.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{11}\right)\) |
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 | ||||
\(5\) | 0.479771 | + | 1.05055i | 0.214560 | + | 0.469821i | 0.986056 | − | 0.166413i | \(-0.0532185\pi\) |
−0.771496 | + | 0.636234i | \(0.780491\pi\) | |||||||
\(6\) | 0.142315 | − | 0.989821i | 0.0580998 | − | 0.404093i | ||||
\(7\) | 0.959493 | − | 0.281733i | 0.362654 | − | 0.106485i | ||||
\(8\) | 0.841254 | + | 0.540641i | 0.297428 | + | 0.191145i | ||||
\(9\) | 0.415415 | − | 0.909632i | 0.138472 | − | 0.303211i | ||||
\(10\) | −1.10814 | − | 0.325379i | −0.350424 | − | 0.102894i | ||||
\(11\) | 1.74634 | + | 2.01538i | 0.526540 | + | 0.607660i | 0.955256 | − | 0.295779i | \(-0.0955793\pi\) |
−0.428716 | + | 0.903439i | \(0.641034\pi\) | |||||||
\(12\) | 0.654861 | + | 0.755750i | 0.189042 | + | 0.218166i | ||||
\(13\) | 2.97114 | + | 0.872404i | 0.824045 | + | 0.241961i | 0.666457 | − | 0.745543i | \(-0.267810\pi\) |
0.157588 | + | 0.987505i | \(0.449628\pi\) | |||||||
\(14\) | −0.415415 | + | 0.909632i | −0.111024 | + | 0.243109i | ||||
\(15\) | −0.971581 | − | 0.624397i | −0.250861 | − | 0.161219i | ||||
\(16\) | −0.959493 | + | 0.281733i | −0.239873 | + | 0.0704331i | ||||
\(17\) | 0.910290 | − | 6.33121i | 0.220778 | − | 1.53554i | −0.514330 | − | 0.857592i | \(-0.671959\pi\) |
0.735108 | − | 0.677950i | \(-0.237132\pi\) | |||||||
\(18\) | 0.415415 | + | 0.909632i | 0.0979143 | + | 0.214402i | ||||
\(19\) | −0.717196 | − | 4.98821i | −0.164536 | − | 1.14437i | −0.889949 | − | 0.456059i | \(-0.849260\pi\) |
0.725413 | − | 0.688313i | \(-0.241649\pi\) | |||||||
\(20\) | 0.971581 | − | 0.624397i | 0.217252 | − | 0.139619i | ||||
\(21\) | −0.654861 | + | 0.755750i | −0.142902 | + | 0.164918i | ||||
\(22\) | −2.66673 | −0.568549 | ||||||||
\(23\) | −1.66122 | + | 4.49893i | −0.346388 | + | 0.938091i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 2.40082 | − | 2.77070i | 0.480165 | − | 0.554140i | ||||
\(26\) | −2.60500 | + | 1.67413i | −0.510883 | + | 0.328324i | ||||
\(27\) | 0.142315 | + | 0.989821i | 0.0273885 | + | 0.190491i | ||||
\(28\) | −0.415415 | − | 0.909632i | −0.0785061 | − | 0.171904i | ||||
\(29\) | −0.136215 | + | 0.947393i | −0.0252944 | + | 0.175926i | −0.998552 | − | 0.0537885i | \(-0.982870\pi\) |
0.973258 | + | 0.229715i | \(0.0737794\pi\) | |||||||
\(30\) | 1.10814 | − | 0.325379i | 0.202317 | − | 0.0594057i | ||||
\(31\) | 3.04773 | + | 1.95866i | 0.547389 | + | 0.351786i | 0.784923 | − | 0.619594i | \(-0.212703\pi\) |
−0.237534 | + | 0.971379i | \(0.576339\pi\) | |||||||
\(32\) | 0.415415 | − | 0.909632i | 0.0734357 | − | 0.160802i | ||||
\(33\) | −2.55871 | − | 0.751305i | −0.445414 | − | 0.130785i | ||||
\(34\) | 4.18869 | + | 4.83401i | 0.718355 | + | 0.829026i | ||||
\(35\) | 0.756312 | + | 0.872830i | 0.127840 | + | 0.147535i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | 2.81849 | − | 6.17164i | 0.463357 | − | 1.01461i | −0.523352 | − | 0.852116i | \(-0.675319\pi\) |
0.986709 | − | 0.162494i | \(-0.0519539\pi\) | |||||||
\(38\) | 4.23950 | + | 2.72456i | 0.687737 | + | 0.441982i | ||||
\(39\) | −2.97114 | + | 0.872404i | −0.475763 | + | 0.139697i | ||||
\(40\) | −0.164362 | + | 1.14316i | −0.0259880 | + | 0.180750i | ||||
\(41\) | 4.74077 | + | 10.3808i | 0.740384 | + | 1.62122i | 0.782921 | + | 0.622121i | \(0.213729\pi\) |
−0.0425367 | + | 0.999095i | \(0.513544\pi\) | |||||||
\(42\) | −0.142315 | − | 0.989821i | −0.0219597 | − | 0.152733i | ||||
\(43\) | −1.82362 | + | 1.17197i | −0.278100 | + | 0.178724i | −0.672254 | − | 0.740320i | \(-0.734674\pi\) |
0.394154 | + | 0.919044i | \(0.371038\pi\) | |||||||
\(44\) | 1.74634 | − | 2.01538i | 0.263270 | − | 0.303830i | ||||
\(45\) | 1.15492 | 0.172165 | ||||||||
\(46\) | −2.31219 | − | 4.20164i | −0.340915 | − | 0.619498i | ||||
\(47\) | 9.44514 | 1.37771 | 0.688857 | − | 0.724897i | \(-0.258113\pi\) | ||||
0.688857 | + | 0.724897i | \(0.258113\pi\) | |||||||
\(48\) | 0.654861 | − | 0.755750i | 0.0945210 | − | 0.109083i | ||||
\(49\) | 0.841254 | − | 0.540641i | 0.120179 | − | 0.0772344i | ||||
\(50\) | 0.521749 | + | 3.62884i | 0.0737864 | + | 0.513196i | ||||
\(51\) | 2.65712 | + | 5.81829i | 0.372072 | + | 0.814723i | ||||
\(52\) | 0.440688 | − | 3.06505i | 0.0611124 | − | 0.425046i | ||||
\(53\) | −2.51764 | + | 0.739246i | −0.345824 | + | 0.101543i | −0.450032 | − | 0.893012i | \(-0.648587\pi\) |
0.104208 | + | 0.994556i | \(0.466769\pi\) | |||||||
\(54\) | −0.841254 | − | 0.540641i | −0.114480 | − | 0.0735719i | ||||
\(55\) | −1.27942 | + | 2.80154i | −0.172517 | + | 0.377759i | ||||
\(56\) | 0.959493 | + | 0.281733i | 0.128218 | + | 0.0376481i | ||||
\(57\) | 3.30017 | + | 3.80860i | 0.437118 | + | 0.504461i | ||||
\(58\) | −0.626790 | − | 0.723355i | −0.0823016 | − | 0.0949811i | ||||
\(59\) | 9.31693 | + | 2.73570i | 1.21296 | + | 0.356157i | 0.824795 | − | 0.565432i | \(-0.191291\pi\) |
0.388166 | + | 0.921589i | \(0.373109\pi\) | |||||||
\(60\) | −0.479771 | + | 1.05055i | −0.0619382 | + | 0.135626i | ||||
\(61\) | −6.86556 | − | 4.41222i | −0.879044 | − | 0.564927i | 0.0214624 | − | 0.999770i | \(-0.493168\pi\) |
−0.900507 | + | 0.434842i | \(0.856804\pi\) | |||||||
\(62\) | −3.47610 | + | 1.02067i | −0.441465 | + | 0.129626i | ||||
\(63\) | 0.142315 | − | 0.989821i | 0.0179300 | − | 0.124706i | ||||
\(64\) | 0.415415 | + | 0.909632i | 0.0519269 | + | 0.113704i | ||||
\(65\) | 0.508959 | + | 3.53989i | 0.0631286 | + | 0.439069i | ||||
\(66\) | 2.24340 | − | 1.44174i | 0.276143 | − | 0.177466i | ||||
\(67\) | −2.87870 | + | 3.32220i | −0.351689 | + | 0.405871i | −0.903838 | − | 0.427874i | \(-0.859263\pi\) |
0.552149 | + | 0.833746i | \(0.313808\pi\) | |||||||
\(68\) | −6.39631 | −0.775667 | ||||||||
\(69\) | −1.03480 | − | 4.68286i | −0.124575 | − | 0.563750i | ||||
\(70\) | −1.15492 | −0.138039 | ||||||||
\(71\) | 0.375833 | − | 0.433734i | 0.0446032 | − | 0.0514748i | −0.733010 | − | 0.680218i | \(-0.761885\pi\) |
0.777613 | + | 0.628743i | \(0.216430\pi\) | |||||||
\(72\) | 0.841254 | − | 0.540641i | 0.0991427 | − | 0.0637151i | ||||
\(73\) | 2.04187 | + | 14.2015i | 0.238983 | + | 1.66216i | 0.657126 | + | 0.753781i | \(0.271772\pi\) |
−0.418143 | + | 0.908381i | \(0.637319\pi\) | |||||||
\(74\) | 2.81849 | + | 6.17164i | 0.327643 | + | 0.717438i | ||||
\(75\) | −0.521749 | + | 3.62884i | −0.0602464 | + | 0.419023i | ||||
\(76\) | −4.83537 | + | 1.41979i | −0.554654 | + | 0.162861i | ||||
\(77\) | 2.24340 | + | 1.44174i | 0.255659 | + | 0.164302i | ||||
\(78\) | 1.28636 | − | 2.81674i | 0.145652 | − | 0.318933i | ||||
\(79\) | −2.63983 | − | 0.775123i | −0.297004 | − | 0.0872081i | 0.129836 | − | 0.991535i | \(-0.458555\pi\) |
−0.426840 | + | 0.904327i | \(0.640373\pi\) | |||||||
\(80\) | −0.756312 | − | 0.872830i | −0.0845582 | − | 0.0975854i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | −10.9499 | − | 3.21517i | −1.20921 | − | 0.355056i | ||||
\(83\) | −5.09144 | + | 11.1487i | −0.558858 | + | 1.22373i | 0.393662 | + | 0.919255i | \(0.371208\pi\) |
−0.952521 | + | 0.304474i | \(0.901519\pi\) | |||||||
\(84\) | 0.841254 | + | 0.540641i | 0.0917883 | + | 0.0589887i | ||||
\(85\) | 7.08799 | − | 2.08122i | 0.768801 | − | 0.225740i | ||||
\(86\) | 0.308503 | − | 2.14568i | 0.0332667 | − | 0.231375i | ||||
\(87\) | −0.397608 | − | 0.870641i | −0.0426281 | − | 0.0933425i | ||||
\(88\) | 0.379515 | + | 2.63959i | 0.0404565 | + | 0.281381i | ||||
\(89\) | −8.82095 | + | 5.66888i | −0.935019 | + | 0.600900i | −0.916978 | − | 0.398937i | \(-0.869379\pi\) |
−0.0180407 | + | 0.999837i | \(0.505743\pi\) | |||||||
\(90\) | −0.756312 | + | 0.872830i | −0.0797223 | + | 0.0920044i | ||||
\(91\) | 3.09657 | 0.324609 | ||||||||
\(92\) | 4.68955 | + | 1.00405i | 0.488920 | + | 0.104679i | ||||
\(93\) | −3.62285 | −0.375672 | ||||||||
\(94\) | −6.18525 | + | 7.13816i | −0.637960 | + | 0.736245i | ||||
\(95\) | 4.89628 | − | 3.14665i | 0.502348 | − | 0.322839i | ||||
\(96\) | 0.142315 | + | 0.989821i | 0.0145249 | + | 0.101023i | ||||
\(97\) | 4.53488 | + | 9.92999i | 0.460447 | + | 1.00824i | 0.987385 | + | 0.158335i | \(0.0506125\pi\) |
−0.526939 | + | 0.849903i | \(0.676660\pi\) | |||||||
\(98\) | −0.142315 | + | 0.989821i | −0.0143760 | + | 0.0999871i | ||||
\(99\) | 2.55871 | − | 0.751305i | 0.257160 | − | 0.0755090i | ||||
\(100\) | −3.08417 | − | 1.98208i | −0.308417 | − | 0.198208i | ||||
\(101\) | 2.51370 | − | 5.50424i | 0.250123 | − | 0.547692i | −0.742371 | − | 0.669989i | \(-0.766299\pi\) |
0.992494 | + | 0.122297i | \(0.0390260\pi\) | |||||||
\(102\) | −6.13722 | − | 1.80205i | −0.607675 | − | 0.178429i | ||||
\(103\) | 3.34592 | + | 3.86139i | 0.329683 | + | 0.380475i | 0.896256 | − | 0.443537i | \(-0.146277\pi\) |
−0.566573 | + | 0.824012i | \(0.691731\pi\) | |||||||
\(104\) | 2.02782 | + | 2.34023i | 0.198844 | + | 0.229479i | ||||
\(105\) | −1.10814 | − | 0.325379i | −0.108143 | − | 0.0317537i | ||||
\(106\) | 1.09002 | − | 2.38681i | 0.105872 | − | 0.231827i | ||||
\(107\) | 8.47329 | + | 5.44545i | 0.819144 | + | 0.526432i | 0.881811 | − | 0.471603i | \(-0.156324\pi\) |
−0.0626673 | + | 0.998034i | \(0.519961\pi\) | |||||||
\(108\) | 0.959493 | − | 0.281733i | 0.0923273 | − | 0.0271097i | ||||
\(109\) | 2.41768 | − | 16.8153i | 0.231572 | − | 1.61062i | −0.459735 | − | 0.888056i | \(-0.652056\pi\) |
0.691307 | − | 0.722561i | \(-0.257035\pi\) | |||||||
\(110\) | −1.27942 | − | 2.80154i | −0.121988 | − | 0.267116i | ||||
\(111\) | 0.965572 | + | 6.71570i | 0.0916481 | + | 0.637426i | ||||
\(112\) | −0.841254 | + | 0.540641i | −0.0794910 | + | 0.0510858i | ||||
\(113\) | 4.41550 | − | 5.09576i | 0.415375 | − | 0.479369i | −0.509047 | − | 0.860739i | \(-0.670002\pi\) |
0.924422 | + | 0.381370i | \(0.124548\pi\) | |||||||
\(114\) | −5.03950 | −0.471992 | ||||||||
\(115\) | −5.52336 | + | 0.413257i | −0.515056 | + | 0.0385364i | ||||
\(116\) | 0.957135 | 0.0888678 | ||||||||
\(117\) | 2.02782 | − | 2.34023i | 0.187472 | − | 0.216354i | ||||
\(118\) | −8.16879 | + | 5.24977i | −0.751998 | + | 0.483280i | ||||
\(119\) | −0.910290 | − | 6.33121i | −0.0834461 | − | 0.580381i | ||||
\(120\) | −0.479771 | − | 1.05055i | −0.0437969 | − | 0.0959019i | ||||
\(121\) | 0.553399 | − | 3.84897i | 0.0503090 | − | 0.349907i | ||||
\(122\) | 7.83052 | − | 2.29925i | 0.708942 | − | 0.208164i | ||||
\(123\) | −9.60050 | − | 6.16987i | −0.865648 | − | 0.556318i | ||||
\(124\) | 1.50499 | − | 3.29546i | 0.135152 | − | 0.295941i | ||||
\(125\) | 9.60330 | + | 2.81978i | 0.858945 | + | 0.252209i | ||||
\(126\) | 0.654861 | + | 0.755750i | 0.0583396 | + | 0.0673275i | ||||
\(127\) | 4.76278 | + | 5.49655i | 0.422629 | + | 0.487740i | 0.926636 | − | 0.375960i | \(-0.122687\pi\) |
−0.504007 | + | 0.863699i | \(0.668141\pi\) | |||||||
\(128\) | −0.959493 | − | 0.281733i | −0.0848080 | − | 0.0249019i | ||||
\(129\) | 0.900515 | − | 1.97185i | 0.0792859 | − | 0.173612i | ||||
\(130\) | −3.00857 | − | 1.93349i | −0.263869 | − | 0.169578i | ||||
\(131\) | 12.1609 | − | 3.57077i | 1.06251 | − | 0.311980i | 0.296646 | − | 0.954988i | \(-0.404132\pi\) |
0.765860 | + | 0.643008i | \(0.222314\pi\) | |||||||
\(132\) | −0.379515 | + | 2.63959i | −0.0330326 | + | 0.229747i | ||||
\(133\) | −2.09348 | − | 4.58409i | −0.181528 | − | 0.397491i | ||||
\(134\) | −0.625602 | − | 4.35115i | −0.0540437 | − | 0.375883i | ||||
\(135\) | −0.971581 | + | 0.624397i | −0.0836204 | + | 0.0537395i | ||||
\(136\) | 4.18869 | − | 4.83401i | 0.359177 | − | 0.414513i | ||||
\(137\) | −3.62600 | −0.309790 | −0.154895 | − | 0.987931i | \(-0.549504\pi\) | ||||
−0.154895 | + | 0.987931i | \(0.549504\pi\) | |||||||
\(138\) | 4.21672 | + | 2.28458i | 0.358951 | + | 0.194476i | ||||
\(139\) | −0.260574 | −0.0221016 | −0.0110508 | − | 0.999939i | \(-0.503518\pi\) | ||||
−0.0110508 | + | 0.999939i | \(0.503518\pi\) | |||||||
\(140\) | 0.756312 | − | 0.872830i | 0.0639200 | − | 0.0737676i | ||||
\(141\) | −7.94576 | + | 5.10643i | −0.669153 | + | 0.430039i | ||||
\(142\) | 0.0816763 | + | 0.568071i | 0.00685412 | + | 0.0476715i | ||||
\(143\) | 3.43038 | + | 7.51148i | 0.286863 | + | 0.628142i | ||||
\(144\) | −0.142315 | + | 0.989821i | −0.0118596 | + | 0.0824851i | ||||
\(145\) | −1.06064 | + | 0.311431i | −0.0880812 | + | 0.0258630i | ||||
\(146\) | −12.0699 | − | 7.75687i | −0.998915 | − | 0.641964i | ||||
\(147\) | −0.415415 | + | 0.909632i | −0.0342629 | + | 0.0750252i | ||||
\(148\) | −6.50993 | − | 1.91149i | −0.535113 | − | 0.157123i | ||||
\(149\) | 0.151262 | + | 0.174566i | 0.0123919 | + | 0.0143010i | 0.761912 | − | 0.647681i | \(-0.224261\pi\) |
−0.749520 | + | 0.661982i | \(0.769716\pi\) | |||||||
\(150\) | −2.40082 | − | 2.77070i | −0.196026 | − | 0.226227i | ||||
\(151\) | −20.4962 | − | 6.01823i | −1.66796 | − | 0.489757i | −0.694667 | − | 0.719332i | \(-0.744448\pi\) |
−0.973291 | + | 0.229575i | \(0.926266\pi\) | |||||||
\(152\) | 2.09348 | − | 4.58409i | 0.169804 | − | 0.371819i | ||||
\(153\) | −5.38092 | − | 3.45811i | −0.435022 | − | 0.279571i | ||||
\(154\) | −2.55871 | + | 0.751305i | −0.206187 | + | 0.0605419i | ||||
\(155\) | −0.595460 | + | 4.14151i | −0.0478285 | + | 0.332654i | ||||
\(156\) | 1.28636 | + | 2.81674i | 0.102991 | + | 0.225520i | ||||
\(157\) | −1.45253 | − | 10.1026i | −0.115925 | − | 0.806274i | −0.961968 | − | 0.273161i | \(-0.911931\pi\) |
0.846044 | − | 0.533114i | \(-0.178978\pi\) | |||||||
\(158\) | 2.31452 | − | 1.48745i | 0.184133 | − | 0.118335i | ||||
\(159\) | 1.71831 | − | 1.98303i | 0.136271 | − | 0.157265i | ||||
\(160\) | 1.15492 | 0.0913045 | ||||||||
\(161\) | −0.326435 | + | 4.78471i | −0.0257266 | + | 0.377088i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −11.6413 | + | 13.4348i | −0.911816 | + | 1.05229i | 0.0866116 | + | 0.996242i | \(0.472396\pi\) |
−0.998428 | + | 0.0560500i | \(0.982149\pi\) | |||||||
\(164\) | 9.60050 | − | 6.16987i | 0.749673 | − | 0.481786i | ||||
\(165\) | −0.438310 | − | 3.04851i | −0.0341224 | − | 0.237326i | ||||
\(166\) | −5.09144 | − | 11.1487i | −0.395173 | − | 0.865307i | ||||
\(167\) | −3.17519 | + | 22.0839i | −0.245703 | + | 1.70890i | 0.376806 | + | 0.926292i | \(0.377022\pi\) |
−0.622509 | + | 0.782612i | \(0.713887\pi\) | |||||||
\(168\) | −0.959493 | + | 0.281733i | −0.0740265 | + | 0.0217361i | ||||
\(169\) | −2.86973 | − | 1.84426i | −0.220749 | − | 0.141866i | ||||
\(170\) | −3.06877 | + | 6.71966i | −0.235364 | + | 0.515374i | ||||
\(171\) | −4.83537 | − | 1.41979i | −0.369770 | − | 0.108574i | ||||
\(172\) | 1.41957 | + | 1.63827i | 0.108241 | + | 0.124917i | ||||
\(173\) | −12.0016 | − | 13.8506i | −0.912466 | − | 1.05304i | −0.998389 | − | 0.0567403i | \(-0.981929\pi\) |
0.0859228 | − | 0.996302i | \(-0.472616\pi\) | |||||||
\(174\) | 0.918365 | + | 0.269656i | 0.0696210 | + | 0.0204426i | ||||
\(175\) | 1.52298 | − | 3.33486i | 0.115126 | − | 0.252091i | ||||
\(176\) | −2.24340 | − | 1.44174i | −0.169102 | − | 0.108675i | ||||
\(177\) | −9.31693 | + | 2.73570i | −0.700303 | + | 0.205628i | ||||
\(178\) | 1.49224 | − | 10.3788i | 0.111848 | − | 0.777921i | ||||
\(179\) | −6.95745 | − | 15.2347i | −0.520024 | − | 1.13869i | −0.969430 | − | 0.245366i | \(-0.921092\pi\) |
0.449406 | − | 0.893327i | \(-0.351636\pi\) | |||||||
\(180\) | −0.164362 | − | 1.14316i | −0.0122508 | − | 0.0852065i | ||||
\(181\) | 19.1669 | − | 12.3178i | 1.42466 | − | 0.915575i | 0.424715 | − | 0.905327i | \(-0.360374\pi\) |
0.999947 | − | 0.0102476i | \(-0.00326197\pi\) | |||||||
\(182\) | −2.02782 | + | 2.34023i | −0.150312 | + | 0.173469i | ||||
\(183\) | 8.16110 | 0.603286 | ||||||||
\(184\) | −3.82981 | + | 2.88662i | −0.282337 | + | 0.212804i | ||||
\(185\) | 7.83586 | 0.576104 | ||||||||
\(186\) | 2.37246 | − | 2.73797i | 0.173957 | − | 0.200757i | ||||
\(187\) | 14.3495 | − | 9.22184i | 1.04934 | − | 0.674368i | ||||
\(188\) | −1.34418 | − | 9.34900i | −0.0980346 | − | 0.681846i | ||||
\(189\) | 0.415415 | + | 0.909632i | 0.0302170 | + | 0.0661660i | ||||
\(190\) | −0.828304 | + | 5.76098i | −0.0600915 | + | 0.417945i | ||||
\(191\) | −4.51450 | + | 1.32558i | −0.326658 | + | 0.0959154i | −0.440950 | − | 0.897532i | \(-0.645358\pi\) |
0.114292 | + | 0.993447i | \(0.463540\pi\) | |||||||
\(192\) | −0.841254 | − | 0.540641i | −0.0607122 | − | 0.0390174i | ||||
\(193\) | 3.20348 | − | 7.01465i | 0.230592 | − | 0.504925i | −0.758599 | − | 0.651557i | \(-0.774116\pi\) |
0.989191 | + | 0.146632i | \(0.0468433\pi\) | |||||||
\(194\) | −10.4743 | − | 3.07553i | −0.752011 | − | 0.220810i | ||||
\(195\) | −2.34197 | − | 2.70278i | −0.167712 | − | 0.193550i | ||||
\(196\) | −0.654861 | − | 0.755750i | −0.0467758 | − | 0.0539821i | ||||
\(197\) | −4.91359 | − | 1.44276i | −0.350079 | − | 0.102792i | 0.101966 | − | 0.994788i | \(-0.467487\pi\) |
−0.452044 | + | 0.891996i | \(0.649305\pi\) | |||||||
\(198\) | −1.10780 | + | 2.42574i | −0.0787279 | + | 0.172390i | ||||
\(199\) | 0.960278 | + | 0.617133i | 0.0680723 | + | 0.0437474i | 0.574234 | − | 0.818691i | \(-0.305300\pi\) |
−0.506162 | + | 0.862438i | \(0.668936\pi\) | |||||||
\(200\) | 3.51765 | − | 1.03288i | 0.248736 | − | 0.0730354i | ||||
\(201\) | 0.625602 | − | 4.35115i | 0.0441265 | − | 0.306907i | ||||
\(202\) | 2.51370 | + | 5.50424i | 0.176863 | + | 0.387277i | ||||
\(203\) | 0.136215 | + | 0.947393i | 0.00956039 | + | 0.0664940i | ||||
\(204\) | 5.38092 | − | 3.45811i | 0.376740 | − | 0.242116i | ||||
\(205\) | −8.63114 | + | 9.96086i | −0.602825 | + | 0.695697i | ||||
\(206\) | −5.10936 | −0.355986 | ||||||||
\(207\) | 3.40227 | + | 3.38002i | 0.236474 | + | 0.234928i | ||||
\(208\) | −3.09657 | −0.214708 | ||||||||
\(209\) | 8.80066 | − | 10.1565i | 0.608755 | − | 0.702540i | ||||
\(210\) | 0.971581 | − | 0.624397i | 0.0670454 | − | 0.0430875i | ||||
\(211\) | −3.02198 | − | 21.0183i | −0.208042 | − | 1.44696i | −0.779537 | − | 0.626356i | \(-0.784546\pi\) |
0.571495 | − | 0.820605i | \(-0.306363\pi\) | |||||||
\(212\) | 1.09002 | + | 2.38681i | 0.0748628 | + | 0.163927i | ||||
\(213\) | −0.0816763 | + | 0.568071i | −0.00559637 | + | 0.0389236i | ||||
\(214\) | −9.66422 | + | 2.83767i | −0.660633 | + | 0.193979i | ||||
\(215\) | −2.10614 | − | 1.35353i | −0.143638 | − | 0.0923103i | ||||
\(216\) | −0.415415 | + | 0.909632i | −0.0282654 | + | 0.0618926i | ||||
\(217\) | 3.47610 | + | 1.02067i | 0.235973 | + | 0.0692879i | ||||
\(218\) | 11.1249 | + | 12.8389i | 0.753476 | + | 0.869558i | ||||
\(219\) | −9.39565 | − | 10.8432i | −0.634899 | − | 0.732713i | ||||
\(220\) | 2.95510 | + | 0.867697i | 0.199233 | + | 0.0585001i | ||||
\(221\) | 8.22797 | − | 18.0167i | 0.553473 | − | 1.21194i | ||||
\(222\) | −5.70770 | − | 3.66812i | −0.383076 | − | 0.246188i | ||||
\(223\) | 20.8690 | − | 6.12768i | 1.39749 | − | 0.410340i | 0.505668 | − | 0.862728i | \(-0.331246\pi\) |
0.891821 | + | 0.452389i | \(0.149428\pi\) | |||||||
\(224\) | 0.142315 | − | 0.989821i | 0.00950881 | − | 0.0661352i | ||||
\(225\) | −1.52298 | − | 3.33486i | −0.101532 | − | 0.222324i | ||||
\(226\) | 0.959580 | + | 6.67402i | 0.0638303 | + | 0.443949i | ||||
\(227\) | −8.04904 | + | 5.17280i | −0.534233 | + | 0.343331i | −0.779780 | − | 0.626054i | \(-0.784669\pi\) |
0.245546 | + | 0.969385i | \(0.421033\pi\) | |||||||
\(228\) | 3.30017 | − | 3.80860i | 0.218559 | − | 0.252231i | ||||
\(229\) | 1.82735 | 0.120755 | 0.0603775 | − | 0.998176i | \(-0.480770\pi\) | ||||
0.0603775 | + | 0.998176i | \(0.480770\pi\) | |||||||
\(230\) | 3.30472 | − | 4.44491i | 0.217906 | − | 0.293088i | ||||
\(231\) | −2.66673 | −0.175458 | ||||||||
\(232\) | −0.626790 | + | 0.723355i | −0.0411508 | + | 0.0474906i | ||||
\(233\) | 24.5002 | − | 15.7453i | 1.60506 | − | 1.03151i | 0.640387 | − | 0.768053i | \(-0.278774\pi\) |
0.964671 | − | 0.263456i | \(-0.0848623\pi\) | |||||||
\(234\) | 0.440688 | + | 3.06505i | 0.0288087 | + | 0.200369i | ||||
\(235\) | 4.53151 | + | 9.92261i | 0.295603 | + | 0.647280i | ||||
\(236\) | 1.38191 | − | 9.61143i | 0.0899550 | − | 0.625651i | ||||
\(237\) | 2.63983 | − | 0.775123i | 0.171475 | − | 0.0503496i | ||||
\(238\) | 5.38092 | + | 3.45811i | 0.348793 | + | 0.224156i | ||||
\(239\) | −10.2443 | + | 22.4319i | −0.662649 | + | 1.45100i | 0.217384 | + | 0.976086i | \(0.430248\pi\) |
−0.880033 | + | 0.474913i | \(0.842479\pi\) | |||||||
\(240\) | 1.10814 | + | 0.325379i | 0.0715300 | + | 0.0210031i | ||||
\(241\) | −3.21698 | − | 3.71260i | −0.207224 | − | 0.239149i | 0.642618 | − | 0.766187i | \(-0.277848\pi\) |
−0.849842 | + | 0.527037i | \(0.823303\pi\) | |||||||
\(242\) | 2.54646 | + | 2.93877i | 0.163693 | + | 0.188911i | ||||
\(243\) | 0.959493 | + | 0.281733i | 0.0615515 | + | 0.0180732i | ||||
\(244\) | −3.39024 | + | 7.42360i | −0.217038 | + | 0.475247i | ||||
\(245\) | 0.971581 | + | 0.624397i | 0.0620720 | + | 0.0398913i | ||||
\(246\) | 10.9499 | − | 3.21517i | 0.698138 | − | 0.204992i | ||||
\(247\) | 2.22085 | − | 15.4463i | 0.141309 | − | 0.982826i | ||||
\(248\) | 1.50499 | + | 3.29546i | 0.0955667 | + | 0.209262i | ||||
\(249\) | −1.74425 | − | 12.1315i | −0.110537 | − | 0.768804i | ||||
\(250\) | −8.41987 | + | 5.41112i | −0.532520 | + | 0.342230i | ||||
\(251\) | 2.60966 | − | 3.01170i | 0.164720 | − | 0.190097i | −0.667389 | − | 0.744710i | \(-0.732588\pi\) |
0.832109 | + | 0.554612i | \(0.187133\pi\) | |||||||
\(252\) | −1.00000 | −0.0629941 | ||||||||
\(253\) | −11.9681 | + | 4.50865i | −0.752428 | + | 0.283457i | ||||
\(254\) | −7.27297 | −0.456347 | ||||||||
\(255\) | −4.83761 | + | 5.58290i | −0.302943 | + | 0.349614i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −4.09372 | − | 28.4725i | −0.255359 | − | 1.77606i | −0.564883 | − | 0.825171i | \(-0.691079\pi\) |
0.309524 | − | 0.950892i | \(-0.399830\pi\) | |||||||
\(258\) | 0.900515 | + | 1.97185i | 0.0560636 | + | 0.122762i | ||||
\(259\) | 0.965572 | − | 6.71570i | 0.0599977 | − | 0.417293i | ||||
\(260\) | 3.43143 | − | 1.00756i | 0.212808 | − | 0.0624861i | ||||
\(261\) | 0.805193 | + | 0.517466i | 0.0498402 | + | 0.0320304i | ||||
\(262\) | −5.26511 | + | 11.5290i | −0.325279 | + | 0.712262i | ||||
\(263\) | −12.1293 | − | 3.56148i | −0.747925 | − | 0.219610i | −0.114509 | − | 0.993422i | \(-0.536529\pi\) |
−0.633416 | + | 0.773812i | \(0.718348\pi\) | |||||||
\(264\) | −1.74634 | − | 2.01538i | −0.107480 | − | 0.124038i | ||||
\(265\) | −1.98451 | − | 2.29024i | −0.121907 | − | 0.140689i | ||||
\(266\) | 4.83537 | + | 1.41979i | 0.296475 | + | 0.0870530i | ||||
\(267\) | 4.35583 | − | 9.53793i | 0.266572 | − | 0.583712i | ||||
\(268\) | 3.69807 | + | 2.37660i | 0.225895 | + | 0.145174i | ||||
\(269\) | −11.2236 | + | 3.29556i | −0.684318 | + | 0.200934i | −0.605369 | − | 0.795945i | \(-0.706974\pi\) |
−0.0789485 | + | 0.996879i | \(0.525156\pi\) | |||||||
\(270\) | 0.164362 | − | 1.14316i | 0.0100028 | − | 0.0695708i | ||||
\(271\) | 7.96987 | + | 17.4516i | 0.484135 | + | 1.06011i | 0.981306 | + | 0.192456i | \(0.0616452\pi\) |
−0.497170 | + | 0.867653i | \(0.665628\pi\) | |||||||
\(272\) | 0.910290 | + | 6.33121i | 0.0551944 | + | 0.383886i | ||||
\(273\) | −2.60500 | + | 1.67413i | −0.157662 | + | 0.101323i | ||||
\(274\) | 2.37452 | − | 2.74035i | 0.143450 | − | 0.165550i | ||||
\(275\) | 9.77666 | 0.589555 | ||||||||
\(276\) | −4.48793 | + | 1.69070i | −0.270142 | + | 0.101768i | ||||
\(277\) | −15.9472 | −0.958172 | −0.479086 | − | 0.877768i | \(-0.659032\pi\) | ||||
−0.479086 | + | 0.877768i | \(0.659032\pi\) | |||||||
\(278\) | 0.170640 | − | 0.196929i | 0.0102343 | − | 0.0118110i | ||||
\(279\) | 3.04773 | − | 1.95866i | 0.182463 | − | 0.117262i | ||||
\(280\) | 0.164362 | + | 1.14316i | 0.00982253 | + | 0.0683172i | ||||
\(281\) | 5.31224 | + | 11.6322i | 0.316902 | + | 0.693918i | 0.999313 | − | 0.0370499i | \(-0.0117960\pi\) |
−0.682412 | + | 0.730968i | \(0.739069\pi\) | |||||||
\(282\) | 1.34418 | − | 9.34900i | 0.0800449 | − | 0.556725i | ||||
\(283\) | −15.6576 | + | 4.59747i | −0.930745 | + | 0.273291i | −0.711749 | − | 0.702434i | \(-0.752097\pi\) |
−0.218997 | + | 0.975726i | \(0.570278\pi\) | |||||||
\(284\) | −0.482806 | − | 0.310281i | −0.0286493 | − | 0.0184118i | ||||
\(285\) | −2.41781 | + | 5.29426i | −0.143219 | + | 0.313605i | ||||
\(286\) | −7.92322 | − | 2.32647i | −0.468510 | − | 0.137567i | ||||
\(287\) | 7.47336 | + | 8.62472i | 0.441139 | + | 0.509101i | ||||
\(288\) | −0.654861 | − | 0.755750i | −0.0385880 | − | 0.0445330i | ||||
\(289\) | −22.9442 | − | 6.73701i | −1.34966 | − | 0.396295i | ||||
\(290\) | 0.459206 | − | 1.00552i | 0.0269655 | − | 0.0590462i | ||||
\(291\) | −9.18354 | − | 5.90190i | −0.538349 | − | 0.345976i | ||||
\(292\) | 13.7664 | − | 4.04217i | 0.805616 | − | 0.236550i | ||||
\(293\) | 2.46681 | − | 17.1570i | 0.144112 | − | 1.00232i | −0.781515 | − | 0.623887i | \(-0.785553\pi\) |
0.925627 | − | 0.378437i | \(-0.123538\pi\) | |||||||
\(294\) | −0.415415 | − | 0.909632i | −0.0242275 | − | 0.0530508i | ||||
\(295\) | 1.59600 | + | 11.1004i | 0.0929228 | + | 0.646292i | ||||
\(296\) | 5.70770 | − | 3.66812i | 0.331754 | − | 0.213205i | ||||
\(297\) | −1.74634 | + | 2.01538i | −0.101333 | + | 0.116944i | ||||
\(298\) | −0.230984 | −0.0133805 | ||||||||
\(299\) | −8.86060 | + | 11.9177i | −0.512422 | + | 0.689217i | ||||
\(300\) | 3.66616 | 0.211666 | ||||||||
\(301\) | −1.41957 | + | 1.63827i | −0.0818228 | + | 0.0944285i | ||||
\(302\) | 17.9704 | − | 11.5489i | 1.03408 | − | 0.664564i | ||||
\(303\) | 0.861156 | + | 5.98947i | 0.0494721 | + | 0.344086i | ||||
\(304\) | 2.09348 | + | 4.58409i | 0.120070 | + | 0.262916i | ||||
\(305\) | 1.34138 | − | 9.32948i | 0.0768070 | − | 0.534205i | ||||
\(306\) | 6.13722 | − | 1.80205i | 0.350841 | − | 0.103016i | ||||
\(307\) | 14.1924 | + | 9.12091i | 0.810004 | + | 0.520558i | 0.878866 | − | 0.477068i | \(-0.158301\pi\) |
−0.0688623 | + | 0.997626i | \(0.521937\pi\) | |||||||
\(308\) | 1.10780 | − | 2.42574i | 0.0631227 | − | 0.138220i | ||||
\(309\) | −4.90239 | − | 1.43947i | −0.278887 | − | 0.0818887i | ||||
\(310\) | −2.74000 | − | 3.16213i | −0.155622 | − | 0.179597i | ||||
\(311\) | −11.7068 | − | 13.5104i | −0.663832 | − | 0.766103i | 0.319566 | − | 0.947564i | \(-0.396463\pi\) |
−0.983398 | + | 0.181461i | \(0.941917\pi\) | |||||||
\(312\) | −2.97114 | − | 0.872404i | −0.168208 | − | 0.0493902i | ||||
\(313\) | 8.01366 | − | 17.5475i | 0.452959 | − | 0.991842i | −0.536077 | − | 0.844169i | \(-0.680094\pi\) |
0.989036 | − | 0.147673i | \(-0.0471783\pi\) | |||||||
\(314\) | 8.58624 | + | 5.51804i | 0.484549 | + | 0.311401i | ||||
\(315\) | 1.10814 | − | 0.325379i | 0.0624365 | − | 0.0183330i | ||||
\(316\) | −0.391547 | + | 2.72327i | −0.0220262 | + | 0.153196i | ||||
\(317\) | −1.43232 | − | 3.13635i | −0.0804474 | − | 0.176155i | 0.865134 | − | 0.501541i | \(-0.167233\pi\) |
−0.945581 | + | 0.325385i | \(0.894506\pi\) | |||||||
\(318\) | 0.373424 | + | 2.59722i | 0.0209406 | + | 0.145645i | ||||
\(319\) | −2.14723 | + | 1.37994i | −0.120222 | + | 0.0772620i | ||||
\(320\) | −0.756312 | + | 0.872830i | −0.0422791 | + | 0.0487927i | ||||
\(321\) | −10.0722 | −0.562176 | ||||||||
\(322\) | −3.40227 | − | 3.38002i | −0.189601 | − | 0.188361i | ||||
\(323\) | −32.2342 | −1.79356 | ||||||||
\(324\) | −0.654861 | + | 0.755750i | −0.0363812 | + | 0.0419861i | ||||
\(325\) | 9.55035 | − | 6.13763i | 0.529758 | − | 0.340455i | ||||
\(326\) | −2.52989 | − | 17.5958i | −0.140118 | − | 0.974541i | ||||
\(327\) | 7.05718 | + | 15.4531i | 0.390263 | + | 0.854556i | ||||
\(328\) | −1.62412 | + | 11.2960i | −0.0896768 | + | 0.623716i | ||||
\(329\) | 9.06254 | − | 2.66100i | 0.499634 | − | 0.146706i | ||||
\(330\) | 2.59094 | + | 1.66510i | 0.142627 | + | 0.0916606i | ||||
\(331\) | 9.33292 | − | 20.4363i | 0.512984 | − | 1.12328i | −0.459044 | − | 0.888413i | \(-0.651808\pi\) |
0.972028 | − | 0.234865i | \(-0.0754647\pi\) | |||||||
\(332\) | 11.7598 | + | 3.45299i | 0.645404 | + | 0.189508i | ||||
\(333\) | −4.44307 | − | 5.12758i | −0.243479 | − | 0.280990i | ||||
\(334\) | −14.6106 | − | 16.8615i | −0.799457 | − | 0.922622i | ||||
\(335\) | −4.87126 | − | 1.43033i | −0.266145 | − | 0.0781474i | ||||
\(336\) | 0.415415 | − | 0.909632i | 0.0226627 | − | 0.0496245i | ||||
\(337\) | 18.0385 | + | 11.5926i | 0.982620 | + | 0.631491i | 0.930169 | − | 0.367132i | \(-0.119660\pi\) |
0.0524511 | + | 0.998623i | \(0.483297\pi\) | |||||||
\(338\) | 3.27308 | − | 0.961062i | 0.178032 | − | 0.0522749i | ||||
\(339\) | −0.959580 | + | 6.67402i | −0.0521172 | + | 0.362483i | ||||
\(340\) | −3.06877 | − | 6.71966i | −0.166427 | − | 0.364425i | ||||
\(341\) | 1.37493 | + | 9.56282i | 0.0744564 | + | 0.517856i | ||||
\(342\) | 4.23950 | − | 2.72456i | 0.229246 | − | 0.147327i | ||||
\(343\) | 0.654861 | − | 0.755750i | 0.0353592 | − | 0.0408066i | ||||
\(344\) | −2.16775 | −0.116877 | ||||||||
\(345\) | 4.42313 | − | 3.33381i | 0.238133 | − | 0.179486i | ||||
\(346\) | 18.3270 | 0.985264 | ||||||||
\(347\) | −18.3143 | + | 21.1359i | −0.983165 | + | 1.13463i | 0.00772609 | + | 0.999970i | \(0.497541\pi\) |
−0.990891 | + | 0.134663i | \(0.957005\pi\) | |||||||
\(348\) | −0.805193 | + | 0.517466i | −0.0431629 | + | 0.0277391i | ||||
\(349\) | 0.764822 | + | 5.31945i | 0.0409400 | + | 0.284744i | 0.999999 | + | 0.00153687i | \(0.000489203\pi\) |
−0.959059 | + | 0.283207i | \(0.908602\pi\) | |||||||
\(350\) | 1.52298 | + | 3.33486i | 0.0814066 | + | 0.178256i | ||||
\(351\) | −0.440688 | + | 3.06505i | −0.0235222 | + | 0.163600i | ||||
\(352\) | 2.55871 | − | 0.751305i | 0.136380 | − | 0.0400447i | ||||
\(353\) | 8.69674 | + | 5.58906i | 0.462881 | + | 0.297475i | 0.751219 | − | 0.660053i | \(-0.229466\pi\) |
−0.288338 | + | 0.957529i | \(0.593103\pi\) | |||||||
\(354\) | 4.03379 | − | 8.83277i | 0.214393 | − | 0.469456i | ||||
\(355\) | 0.635974 | + | 0.186739i | 0.0337540 | + | 0.00991107i | ||||
\(356\) | 6.86653 | + | 7.92440i | 0.363926 | + | 0.419992i | ||||
\(357\) | 4.18869 | + | 4.83401i | 0.221689 | + | 0.255843i | ||||
\(358\) | 16.0698 | + | 4.71851i | 0.849314 | + | 0.249381i | ||||
\(359\) | −7.42050 | + | 16.2486i | −0.391639 | + | 0.857570i | 0.606411 | + | 0.795151i | \(0.292609\pi\) |
−0.998050 | + | 0.0624187i | \(0.980119\pi\) | |||||||
\(360\) | 0.971581 | + | 0.624397i | 0.0512068 | + | 0.0329086i | ||||
\(361\) | −6.13746 | + | 1.80212i | −0.323024 | + | 0.0948484i | ||||
\(362\) | −3.24246 | + | 22.5518i | −0.170420 | + | 1.18530i | ||||
\(363\) | 1.61536 | + | 3.53715i | 0.0847846 | + | 0.185652i | ||||
\(364\) | −0.440688 | − | 3.06505i | −0.0230983 | − | 0.160652i | ||||
\(365\) | −13.9398 | + | 8.95857i | −0.729643 | + | 0.468913i | ||||
\(366\) | −5.34438 | + | 6.16775i | −0.279355 | + | 0.322393i | ||||
\(367\) | −2.36079 | −0.123232 | −0.0616161 | − | 0.998100i | \(-0.519625\pi\) | ||||
−0.0616161 | + | 0.998100i | \(0.519625\pi\) | |||||||
\(368\) | 0.326435 | − | 4.78471i | 0.0170166 | − | 0.249420i | ||||
\(369\) | 11.4121 | 0.594092 | ||||||||
\(370\) | −5.13140 | + | 5.92195i | −0.266769 | + | 0.307867i | ||||
\(371\) | −2.20739 | + | 1.41860i | −0.114602 | + | 0.0736501i | ||||
\(372\) | 0.515585 | + | 3.58597i | 0.0267318 | + | 0.185924i | ||||
\(373\) | 6.29993 | + | 13.7949i | 0.326198 | + | 0.714274i | 0.999689 | − | 0.0249212i | \(-0.00793349\pi\) |
−0.673492 | + | 0.739195i | \(0.735206\pi\) | |||||||
\(374\) | −2.42750 | + | 16.8836i | −0.125523 | + | 0.873031i | ||||
\(375\) | −9.60330 | + | 2.81978i | −0.495912 | + | 0.145613i | ||||
\(376\) | 7.94576 | + | 5.10643i | 0.409771 | + | 0.263344i | ||||
\(377\) | −1.23122 | + | 2.69600i | −0.0634112 | + | 0.138851i | ||||
\(378\) | −0.959493 | − | 0.281733i | −0.0493510 | − | 0.0144908i | ||||
\(379\) | −17.5266 | − | 20.2267i | −0.900278 | − | 1.03898i | −0.999037 | − | 0.0438653i | \(-0.986033\pi\) |
0.0987590 | − | 0.995111i | \(-0.468513\pi\) | |||||||
\(380\) | −3.81143 | − | 4.39863i | −0.195522 | − | 0.225645i | ||||
\(381\) | −6.97837 | − | 2.04903i | −0.357513 | − | 0.104975i | ||||
\(382\) | 1.95457 | − | 4.27990i | 0.100004 | − | 0.218979i | ||||
\(383\) | −22.6035 | − | 14.5264i | −1.15499 | − | 0.742264i | −0.184359 | − | 0.982859i | \(-0.559021\pi\) |
−0.970626 | + | 0.240595i | \(0.922657\pi\) | |||||||
\(384\) | 0.959493 | − | 0.281733i | 0.0489639 | − | 0.0143771i | ||||
\(385\) | −0.438310 | + | 3.04851i | −0.0223383 | + | 0.155367i | ||||
\(386\) | 3.20348 | + | 7.01465i | 0.163053 | + | 0.357036i | ||||
\(387\) | 0.308503 | + | 2.14568i | 0.0156821 | + | 0.109071i | ||||
\(388\) | 9.18354 | − | 5.90190i | 0.466224 | − | 0.299624i | ||||
\(389\) | −22.5990 | + | 26.0807i | −1.14582 | + | 1.32234i | −0.206835 | + | 0.978376i | \(0.566316\pi\) |
−0.938982 | + | 0.343967i | \(0.888229\pi\) | |||||||
\(390\) | 3.57629 | 0.181093 | ||||||||
\(391\) | 26.9714 | + | 14.6129i | 1.36400 | + | 0.739004i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | −8.29992 | + | 9.57862i | −0.418676 | + | 0.483177i | ||||
\(394\) | 4.30808 | − | 2.76864i | 0.217038 | − | 0.139482i | ||||
\(395\) | −0.452205 | − | 3.14516i | −0.0227529 | − | 0.158250i | ||||
\(396\) | −1.10780 | − | 2.42574i | −0.0556690 | − | 0.121898i | ||||
\(397\) | −1.40733 | + | 9.78820i | −0.0706319 | + | 0.491256i | 0.923545 | + | 0.383491i | \(0.125278\pi\) |
−0.994176 | + | 0.107765i | \(0.965631\pi\) | |||||||
\(398\) | −1.09525 | + | 0.321593i | −0.0548997 | + | 0.0161200i | ||||
\(399\) | 4.23950 | + | 2.72456i | 0.212240 | + | 0.136399i | ||||
\(400\) | −1.52298 | + | 3.33486i | −0.0761489 | + | 0.166743i | ||||
\(401\) | −3.41669 | − | 1.00323i | −0.170621 | − | 0.0500989i | 0.195306 | − | 0.980742i | \(-0.437430\pi\) |
−0.365927 | + | 0.930643i | \(0.619248\pi\) | |||||||
\(402\) | 2.87870 | + | 3.32220i | 0.143577 | + | 0.165696i | ||||
\(403\) | 7.34649 | + | 8.47830i | 0.365955 | + | 0.422334i | ||||
\(404\) | −5.80595 | − | 1.70478i | −0.288857 | − | 0.0848160i | ||||
\(405\) | 0.479771 | − | 1.05055i | 0.0238400 | − | 0.0522024i | ||||
\(406\) | −0.805193 | − | 0.517466i | −0.0399611 | − | 0.0256814i | ||||
\(407\) | 17.3602 | − | 5.09742i | 0.860515 | − | 0.252670i | ||||
\(408\) | −0.910290 | + | 6.33121i | −0.0450661 | + | 0.313441i | ||||
\(409\) | 11.2157 | + | 24.5589i | 0.554579 | + | 1.21436i | 0.954610 | + | 0.297858i | \(0.0962721\pi\) |
−0.400031 | + | 0.916502i | \(0.631001\pi\) | |||||||
\(410\) | −1.87573 | − | 13.0460i | −0.0926355 | − | 0.644294i | ||||
\(411\) | 3.05038 | − | 1.96036i | 0.150464 | − | 0.0966976i | ||||
\(412\) | 3.34592 | − | 3.86139i | 0.164842 | − | 0.190237i | ||||
\(413\) | 9.71026 | 0.477811 | ||||||||
\(414\) | −4.78246 | + | 0.357823i | −0.235045 | + | 0.0175861i | ||||
\(415\) | −14.1550 | −0.694843 | ||||||||
\(416\) | 2.02782 | − | 2.34023i | 0.0994221 | − | 0.114739i | ||||
\(417\) | 0.219209 | − | 0.140877i | 0.0107347 | − | 0.00689878i | ||||
\(418\) | 1.91257 | + | 13.3022i | 0.0935467 | + | 0.650632i | ||||
\(419\) | −1.95512 | − | 4.28111i | −0.0955137 | − | 0.209146i | 0.855844 | − | 0.517234i | \(-0.173038\pi\) |
−0.951358 | + | 0.308088i | \(0.900311\pi\) | |||||||
\(420\) | −0.164362 | + | 1.14316i | −0.00802006 | + | 0.0557807i | ||||
\(421\) | −3.74189 | + | 1.09872i | −0.182369 | + | 0.0535483i | −0.371642 | − | 0.928376i | \(-0.621205\pi\) |
0.189273 | + | 0.981924i | \(0.439387\pi\) | |||||||
\(422\) | 17.8636 | + | 11.4802i | 0.869585 | + | 0.558848i | ||||
\(423\) | 3.92365 | − | 8.59160i | 0.190774 | − | 0.417738i | ||||
\(424\) | −2.51764 | − | 0.739246i | −0.122267 | − | 0.0359009i | ||||
\(425\) | −15.3564 | − | 17.7222i | −0.744896 | − | 0.859655i | ||||
\(426\) | −0.375833 | − | 0.433734i | −0.0182092 | − | 0.0210145i | ||||
\(427\) | −7.83052 | − | 2.29925i | −0.378945 | − | 0.111268i | ||||
\(428\) | 4.18415 | − | 9.16201i | 0.202249 | − | 0.442863i | ||||
\(429\) | −6.94683 | − | 4.46446i | −0.335396 | − | 0.215546i | ||||
\(430\) | 2.40216 | − | 0.705339i | 0.115843 | − | 0.0340144i | ||||
\(431\) | 2.67126 | − | 18.5790i | 0.128670 | − | 0.894921i | −0.818572 | − | 0.574403i | \(-0.805234\pi\) |
0.947243 | − | 0.320517i | \(-0.103857\pi\) | |||||||
\(432\) | −0.415415 | − | 0.909632i | −0.0199867 | − | 0.0437647i | ||||
\(433\) | 4.81095 | + | 33.4609i | 0.231200 | + | 1.60803i | 0.692927 | + | 0.721008i | \(0.256321\pi\) |
−0.461727 | + | 0.887022i | \(0.652770\pi\) | |||||||
\(434\) | −3.04773 | + | 1.95866i | −0.146296 | + | 0.0940187i | ||||
\(435\) | 0.723893 | − | 0.835417i | 0.0347080 | − | 0.0400552i | ||||
\(436\) | −16.9883 | −0.813590 | ||||||||
\(437\) | 23.6330 | + | 5.05989i | 1.13052 | + | 0.242048i | ||||
\(438\) | 14.3476 | 0.685553 | ||||||||
\(439\) | 14.7011 | − | 16.9660i | 0.701645 | − | 0.809741i | −0.287329 | − | 0.957832i | \(-0.592767\pi\) |
0.988974 | + | 0.148091i | \(0.0473128\pi\) | |||||||
\(440\) | −2.59094 | + | 1.66510i | −0.123518 | + | 0.0793804i | ||||
\(441\) | −0.142315 | − | 0.989821i | −0.00677690 | − | 0.0471344i | ||||
\(442\) | 8.22797 | + | 18.0167i | 0.391365 | + | 0.856969i | ||||
\(443\) | −1.76687 | + | 12.2888i | −0.0839465 | + | 0.583861i | 0.903819 | + | 0.427915i | \(0.140752\pi\) |
−0.987766 | + | 0.155946i | \(0.950157\pi\) | |||||||
\(444\) | 6.50993 | − | 1.91149i | 0.308948 | − | 0.0907152i | ||||
\(445\) | −10.1875 | − | 6.54711i | −0.482934 | − | 0.310363i | ||||
\(446\) | −9.03527 | + | 19.7845i | −0.427832 | + | 0.936822i | ||||
\(447\) | −0.221627 | − | 0.0650757i | −0.0104826 | − | 0.00307797i | ||||
\(448\) | 0.654861 | + | 0.755750i | 0.0309393 | + | 0.0357058i | ||||
\(449\) | −10.9850 | − | 12.6774i | −0.518416 | − | 0.598284i | 0.434818 | − | 0.900519i | \(-0.356813\pi\) |
−0.953234 | + | 0.302235i | \(0.902267\pi\) | |||||||
\(450\) | 3.51765 | + | 1.03288i | 0.165824 | + | 0.0486903i | ||||
\(451\) | −12.6424 | + | 27.6829i | −0.595306 | + | 1.30354i | ||||
\(452\) | −5.67228 | − | 3.64535i | −0.266802 | − | 0.171463i | ||||
\(453\) | 20.4962 | − | 6.01823i | 0.962996 | − | 0.282761i | ||||
\(454\) | 1.36166 | − | 9.47052i | 0.0639057 | − | 0.444474i | ||||
\(455\) | 1.48564 | + | 3.25311i | 0.0696481 | + | 0.152508i | ||||
\(456\) | 0.717196 | + | 4.98821i | 0.0335858 | + | 0.233594i | ||||
\(457\) | 23.4916 | − | 15.0972i | 1.09889 | − | 0.706215i | 0.140047 | − | 0.990145i | \(-0.455275\pi\) |
0.958845 | + | 0.283930i | \(0.0916382\pi\) | |||||||
\(458\) | −1.19666 | + | 1.38102i | −0.0559164 | + | 0.0645309i | ||||
\(459\) | 6.39631 | 0.298554 | ||||||||
\(460\) | 1.19511 | + | 5.40833i | 0.0557222 | + | 0.252165i | ||||
\(461\) | −22.6752 | −1.05609 | −0.528045 | − | 0.849217i | \(-0.677075\pi\) | ||||
−0.528045 | + | 0.849217i | \(0.677075\pi\) | |||||||
\(462\) | 1.74634 | − | 2.01538i | 0.0812469 | − | 0.0937640i | ||||
\(463\) | −6.06427 | + | 3.89727i | −0.281830 | + | 0.181121i | −0.673917 | − | 0.738807i | \(-0.735390\pi\) |
0.392087 | + | 0.919928i | \(0.371753\pi\) | |||||||
\(464\) | −0.136215 | − | 0.947393i | −0.00632360 | − | 0.0439816i | ||||
\(465\) | −1.73814 | − | 3.80599i | −0.0806042 | − | 0.176499i | ||||
\(466\) | −4.14469 | + | 28.8270i | −0.191999 | + | 1.33538i | ||||
\(467\) | −20.5404 | + | 6.03122i | −0.950499 | + | 0.279092i | −0.719994 | − | 0.693980i | \(-0.755856\pi\) |
−0.230504 | + | 0.973071i | \(0.574038\pi\) | |||||||
\(468\) | −2.60500 | − | 1.67413i | −0.120416 | − | 0.0773868i | ||||
\(469\) | −1.82612 | + | 3.99865i | −0.0843225 | + | 0.184641i | ||||
\(470\) | −10.4665 | − | 3.07325i | −0.482784 | − | 0.141758i | ||||
\(471\) | 6.68382 | + | 7.71354i | 0.307974 | + | 0.355421i | ||||
\(472\) | 6.35887 | + | 7.33853i | 0.292691 | + | 0.337783i | ||||
\(473\) | −5.54663 | − | 1.62864i | −0.255034 | − | 0.0748849i | ||||
\(474\) | −1.14292 | + | 2.50264i | −0.0524960 | + | 0.114950i | ||||
\(475\) | −15.5427 | − | 9.98867i | −0.713147 | − | 0.458312i | ||||
\(476\) | −6.13722 | + | 1.80205i | −0.281299 | + | 0.0825968i | ||||
\(477\) | −0.373424 | + | 2.59722i | −0.0170979 | + | 0.118918i | ||||
\(478\) | −10.2443 | − | 22.4319i | −0.468564 | − | 1.02601i | ||||
\(479\) | −1.76980 | − | 12.3093i | −0.0808644 | − | 0.562424i | −0.989467 | − | 0.144762i | \(-0.953758\pi\) |
0.908602 | − | 0.417663i | \(-0.137151\pi\) | |||||||
\(480\) | −0.971581 | + | 0.624397i | −0.0443464 | + | 0.0284997i | ||||
\(481\) | 13.7583 | − | 15.8779i | 0.627324 | − | 0.723970i | ||||
\(482\) | 4.91247 | 0.223757 | ||||||||
\(483\) | −2.31219 | − | 4.20164i | −0.105209 | − | 0.191181i | ||||
\(484\) | −3.88855 | −0.176752 | ||||||||
\(485\) | −8.25628 | + | 9.52825i | −0.374898 | + | 0.432656i | ||||
\(486\) | −0.841254 | + | 0.540641i | −0.0381600 | + | 0.0245240i | ||||
\(487\) | 3.49747 | + | 24.3254i | 0.158485 | + | 1.10229i | 0.901426 | + | 0.432933i | \(0.142521\pi\) |
−0.742941 | + | 0.669357i | \(0.766570\pi\) | |||||||
\(488\) | −3.39024 | − | 7.42360i | −0.153469 | − | 0.336051i | ||||
\(489\) | 2.52989 | − | 17.5958i | 0.114406 | − | 0.795710i | ||||
\(490\) | −1.10814 | + | 0.325379i | −0.0500606 | + | 0.0146991i | ||||
\(491\) | −6.83965 | − | 4.39558i | −0.308669 | − | 0.198370i | 0.377130 | − | 0.926160i | \(-0.376911\pi\) |
−0.685799 | + | 0.727791i | \(0.740547\pi\) | |||||||
\(492\) | −4.74077 | + | 10.3808i | −0.213731 | + | 0.468005i | ||||
\(493\) | 5.87415 | + | 1.72480i | 0.264558 | + | 0.0776813i | ||||
\(494\) | 10.2192 | + | 11.7936i | 0.459784 | + | 0.530619i | ||||
\(495\) | 2.01688 | + | 2.32760i | 0.0906520 | + | 0.104618i | ||||
\(496\) | −3.47610 | − | 1.02067i | −0.156081 | − | 0.0458296i | ||||
\(497\) | 0.238412 | − | 0.522049i | 0.0106942 | − | 0.0234171i | ||||
\(498\) | 10.3106 | + | 6.62625i | 0.462031 | + | 0.296929i | ||||
\(499\) | 7.49454 | − | 2.20059i | 0.335502 | − | 0.0985122i | −0.109643 | − | 0.993971i | \(-0.534971\pi\) |
0.445144 | + | 0.895459i | \(0.353152\pi\) | |||||||
\(500\) | 1.42439 | − | 9.90685i | 0.0637006 | − | 0.443048i | ||||
\(501\) | −9.26833 | − | 20.2948i | −0.414078 | − | 0.906705i | ||||
\(502\) | 0.567132 | + | 3.94449i | 0.0253124 | + | 0.176051i | ||||
\(503\) | 4.32293 | − | 2.77818i | 0.192750 | − | 0.123873i | −0.440706 | − | 0.897651i | \(-0.645272\pi\) |
0.633456 | + | 0.773779i | \(0.281636\pi\) | |||||||
\(504\) | 0.654861 | − | 0.755750i | 0.0291698 | − | 0.0336638i | ||||
\(505\) | 6.98849 | 0.310984 | ||||||||
\(506\) | 4.43002 | − | 11.9974i | 0.196939 | − | 0.533351i | ||||
\(507\) | 3.41126 | 0.151499 | ||||||||
\(508\) | 4.76278 | − | 5.49655i | 0.211314 | − | 0.243870i | ||||
\(509\) | −7.05832 | + | 4.53611i | −0.312854 | + | 0.201059i | −0.687639 | − | 0.726052i | \(-0.741353\pi\) |
0.374785 | + | 0.927112i | \(0.377717\pi\) | |||||||
\(510\) | −1.05131 | − | 7.31204i | −0.0465529 | − | 0.323782i | ||||
\(511\) | 5.96019 | + | 13.0510i | 0.263663 | + | 0.577342i | ||||
\(512\) | −0.142315 | + | 0.989821i | −0.00628949 | + | 0.0437443i | ||||
\(513\) | 4.83537 | − | 1.41979i | 0.213487 | − | 0.0626853i | ||||
\(514\) | 24.1989 | + | 15.5517i | 1.06737 | + | 0.685954i | ||||
\(515\) | −2.45132 | + | 5.36765i | −0.108018 | + | 0.236527i | ||||
\(516\) | −2.07994 | − | 0.610725i | −0.0915642 | − | 0.0268857i | ||||
\(517\) | 16.4944 | + | 19.0355i | 0.725422 | + | 0.837182i | ||||
\(518\) | 4.44307 | + | 5.12758i | 0.195217 | + | 0.225293i | ||||
\(519\) | 17.5846 | + | 5.16331i | 0.771879 | + | 0.226644i | ||||
\(520\) | −1.48564 | + | 3.25311i | −0.0651498 | + | 0.142658i | ||||
\(521\) | −29.5851 | − | 19.0132i | −1.29615 | − | 0.832984i | −0.303361 | − | 0.952876i | \(-0.598109\pi\) |
−0.992787 | + | 0.119892i | \(0.961745\pi\) | |||||||
\(522\) | −0.918365 | + | 0.269656i | −0.0401957 | + | 0.0118025i | ||||
\(523\) | −2.08062 | + | 14.4710i | −0.0909793 | + | 0.632775i | 0.892405 | + | 0.451236i | \(0.149017\pi\) |
−0.983384 | + | 0.181538i | \(0.941892\pi\) | |||||||
\(524\) | −5.26511 | − | 11.5290i | −0.230007 | − | 0.503646i | ||||
\(525\) | 0.521749 | + | 3.62884i | 0.0227710 | + | 0.158376i | ||||
\(526\) | 10.6346 | − | 6.83444i | 0.463690 | − | 0.297996i | ||||
\(527\) | 15.1750 | − | 17.5129i | 0.661033 | − | 0.762873i | ||||
\(528\) | 2.66673 | 0.116055 | ||||||||
\(529\) | −17.4807 | − | 14.9474i | −0.760030 | − | 0.649888i | ||||
\(530\) | 3.03043 | 0.131633 | ||||||||
\(531\) | 6.35887 | − | 7.33853i | 0.275951 | − | 0.318465i | ||||
\(532\) | −4.23950 | + | 2.72456i | −0.183806 | + | 0.118125i | ||||
\(533\) | 5.02919 | + | 34.9788i | 0.217838 | + | 1.51510i | ||||
\(534\) | 4.35583 | + | 9.53793i | 0.188495 | + | 0.412747i | ||||
\(535\) | −1.65549 | + | 11.5142i | −0.0715732 | + | 0.497803i | ||||
\(536\) | −4.21783 | + | 1.23847i | −0.182183 | + | 0.0534937i | ||||
\(537\) | 14.0895 | + | 9.05475i | 0.608006 | + | 0.390741i | ||||
\(538\) | 4.85931 | − | 10.6404i | 0.209500 | − | 0.458740i | ||||
\(539\) | 2.55871 | + | 0.751305i | 0.110211 | + | 0.0323610i | ||||
\(540\) | 0.756312 | + | 0.872830i | 0.0325465 | + | 0.0375606i | ||||
\(541\) | 2.02243 | + | 2.33401i | 0.0869510 | + | 0.100347i | 0.797558 | − | 0.603243i | \(-0.206125\pi\) |
−0.710607 | + | 0.703589i | \(0.751579\pi\) | |||||||
\(542\) | −18.4082 | − | 5.40513i | −0.790699 | − | 0.232170i | ||||
\(543\) | −9.46469 | + | 20.7248i | −0.406169 | + | 0.889386i | ||||
\(544\) | −5.38092 | − | 3.45811i | −0.230705 | − | 0.148265i | ||||
\(545\) | 18.8253 | − | 5.52762i | 0.806389 | − | 0.236777i | ||||
\(546\) | 0.440688 | − | 3.06505i | 0.0188597 | − | 0.131172i | ||||
\(547\) | 12.6599 | + | 27.7212i | 0.541297 | + | 1.18527i | 0.960729 | + | 0.277488i | \(0.0895019\pi\) |
−0.419432 | + | 0.907787i | \(0.637771\pi\) | |||||||
\(548\) | 0.516033 | + | 3.58909i | 0.0220439 | + | 0.153318i | ||||
\(549\) | −6.86556 | + | 4.41222i | −0.293015 | + | 0.188309i | ||||
\(550\) | −6.40235 | + | 7.38870i | −0.272997 | + | 0.315055i | ||||
\(551\) | 4.82348 | 0.205487 | ||||||||
\(552\) | 1.66122 | − | 4.49893i | 0.0707062 | − | 0.191487i | ||||
\(553\) | −2.75127 | −0.116996 | ||||||||
\(554\) | 10.4432 | − | 12.0521i | 0.443688 | − | 0.512043i | ||||
\(555\) | −6.59194 | + | 4.23638i | −0.279812 | + | 0.179825i | ||||
\(556\) | 0.0370836 | + | 0.257922i | 0.00157269 | + | 0.0109383i | ||||
\(557\) | −0.669565 | − | 1.46614i | −0.0283704 | − | 0.0621225i | 0.894916 | − | 0.446234i | \(-0.147235\pi\) |
−0.923287 | + | 0.384112i | \(0.874508\pi\) | |||||||
\(558\) | −0.515585 | + | 3.58597i | −0.0218265 | + | 0.151806i | ||||
\(559\) | −6.44067 | + | 1.89115i | −0.272411 | + | 0.0799872i | ||||
\(560\) | −0.971581 | − | 0.624397i | −0.0410568 | − | 0.0263856i | ||||
\(561\) | −7.08583 | + | 15.5158i | −0.299164 | + | 0.655078i | ||||
\(562\) | −12.2698 | − | 3.60274i | −0.517570 | − | 0.151972i | ||||
\(563\) | 26.4158 | + | 30.4855i | 1.11329 | + | 1.28481i | 0.954735 | + | 0.297459i | \(0.0961392\pi\) |
0.158559 | + | 0.987350i | \(0.449315\pi\) | |||||||
\(564\) | 6.18525 | + | 7.13816i | 0.260446 | + | 0.300571i | ||||
\(565\) | 7.47179 | + | 2.19392i | 0.314341 | + | 0.0922987i | ||||
\(566\) | 6.77898 | − | 14.8439i | 0.284942 | − | 0.623936i | ||||
\(567\) | −0.841254 | − | 0.540641i | −0.0353293 | − | 0.0227048i | ||||
\(568\) | 0.550665 | − | 0.161690i | 0.0231054 | − | 0.00678436i | ||||
\(569\) | −1.68567 | + | 11.7241i | −0.0706668 | + | 0.491498i | 0.923496 | + | 0.383608i | \(0.125319\pi\) |
−0.994163 | + | 0.107890i | \(0.965590\pi\) | |||||||
\(570\) | −2.41781 | − | 5.29426i | −0.101271 | − | 0.221752i | ||||
\(571\) | −6.23228 | − | 43.3464i | −0.260813 | − | 1.81399i | −0.526771 | − | 0.850007i | \(-0.676598\pi\) |
0.265959 | − | 0.963984i | \(-0.414312\pi\) | |||||||
\(572\) | 6.94683 | − | 4.46446i | 0.290462 | − | 0.186668i | ||||
\(573\) | 3.08118 | − | 3.55587i | 0.128718 | − | 0.148549i | ||||
\(574\) | −11.4121 | −0.476333 | ||||||||
\(575\) | 8.47687 | + | 15.4039i | 0.353510 | + | 0.642386i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −21.9828 | + | 25.3695i | −0.915155 | + | 1.05615i | 0.0830671 | + | 0.996544i | \(0.473528\pi\) |
−0.998222 | + | 0.0596014i | \(0.981017\pi\) | |||||||
\(578\) | 20.1167 | − | 12.9282i | 0.836745 | − | 0.537744i | ||||
\(579\) | 1.09746 | + | 7.63303i | 0.0456090 | + | 0.317218i | ||||
\(580\) | 0.459206 | + | 1.00552i | 0.0190675 | + | 0.0417520i | ||||
\(581\) | −1.74425 | + | 12.1315i | −0.0723637 | + | 0.503301i | ||||
\(582\) | 10.4743 | − | 3.07553i | 0.434174 | − | 0.127485i | ||||
\(583\) | −5.88651 | − | 3.78303i | −0.243794 | − | 0.156677i | ||||
\(584\) | −5.96019 | + | 13.0510i | −0.246634 | + | 0.540054i | ||||
\(585\) | 3.43143 | + | 1.00756i | 0.141872 | + | 0.0416574i | ||||
\(586\) | 11.3510 | + | 13.0997i | 0.468905 | + | 0.541146i | ||||
\(587\) | 6.18299 | + | 7.13555i | 0.255199 | + | 0.294516i | 0.868864 | − | 0.495051i | \(-0.164851\pi\) |
−0.613665 | + | 0.789567i | \(0.710305\pi\) | |||||||
\(588\) | 0.959493 | + | 0.281733i | 0.0395688 | + | 0.0116185i | ||||
\(589\) | 7.58437 | − | 16.6075i | 0.312509 | − | 0.684299i | ||||
\(590\) | −9.43431 | − | 6.06306i | −0.388404 | − | 0.249612i | ||||
\(591\) | 4.91359 | − | 1.44276i | 0.202118 | − | 0.0593472i | ||||
\(592\) | −0.965572 | + | 6.71570i | −0.0396848 | + | 0.276014i | ||||
\(593\) | 6.89790 | + | 15.1043i | 0.283263 | + | 0.620259i | 0.996763 | − | 0.0803959i | \(-0.0256185\pi\) |
−0.713500 | + | 0.700655i | \(0.752891\pi\) | |||||||
\(594\) | −0.379515 | − | 2.63959i | −0.0155717 | − | 0.108304i | ||||
\(595\) | 6.21453 | − | 3.99384i | 0.254771 | − | 0.163731i | ||||
\(596\) | 0.151262 | − | 0.174566i | 0.00619594 | − | 0.00715050i | ||||
\(597\) | −1.14148 | −0.0467178 | ||||||||
\(598\) | −3.20432 | − | 14.5008i | −0.131034 | − | 0.592982i | ||||
\(599\) | 5.28333 | 0.215871 | 0.107935 | − | 0.994158i | \(-0.465576\pi\) | ||||
0.107935 | + | 0.994158i | \(0.465576\pi\) | |||||||
\(600\) | −2.40082 | + | 2.77070i | −0.0980132 | + | 0.113113i | ||||
\(601\) | 13.6744 | − | 8.78800i | 0.557790 | − | 0.358470i | −0.231171 | − | 0.972913i | \(-0.574256\pi\) |
0.788961 | + | 0.614443i | \(0.210619\pi\) | |||||||
\(602\) | −0.308503 | − | 2.14568i | −0.0125736 | − | 0.0874515i | ||||
\(603\) | 1.82612 | + | 3.99865i | 0.0743654 | + | 0.162838i | ||||
\(604\) | −3.04006 | + | 21.1441i | −0.123698 | + | 0.860340i | ||||
\(605\) | 4.30905 | − | 1.26525i | 0.175188 | − | 0.0514398i | ||||
\(606\) | −5.09048 | − | 3.27145i | −0.206786 | − | 0.132894i | ||||
\(607\) | 11.9697 | − | 26.2099i | 0.485834 | − | 1.06383i | −0.494984 | − | 0.868902i | \(-0.664826\pi\) |
0.980818 | − | 0.194926i | \(-0.0624466\pi\) | |||||||
\(608\) | −4.83537 | − | 1.41979i | −0.196100 | − | 0.0575801i | ||||
\(609\) | −0.626790 | − | 0.723355i | −0.0253988 | − | 0.0293118i | ||||
\(610\) | 6.17234 | + | 7.12326i | 0.249911 | + | 0.288412i | ||||
\(611\) | 28.0628 | + | 8.23998i | 1.13530 | + | 0.333354i | ||||
\(612\) | −2.65712 | + | 5.81829i | −0.107408 | + | 0.235190i | ||||
\(613\) | −31.0575 | − | 19.9594i | −1.25440 | − | 0.806153i | −0.266891 | − | 0.963727i | \(-0.585996\pi\) |
−0.987507 | + | 0.157574i | \(0.949633\pi\) | |||||||
\(614\) | −16.1872 | + | 4.75299i | −0.653261 | + | 0.191815i | ||||
\(615\) | 1.87573 | − | 13.0460i | 0.0756365 | − | 0.526064i | ||||
\(616\) | 1.10780 | + | 2.42574i | 0.0446345 | + | 0.0977360i | ||||
\(617\) | −1.38135 | − | 9.60748i | −0.0556109 | − | 0.386783i | −0.998551 | − | 0.0538192i | \(-0.982861\pi\) |
0.942940 | − | 0.332963i | \(-0.108049\pi\) | |||||||
\(618\) | 4.29827 | − | 2.76233i | 0.172902 | − | 0.111117i | ||||
\(619\) | 30.5335 | − | 35.2375i | 1.22724 | − | 1.41632i | 0.349672 | − | 0.936872i | \(-0.386293\pi\) |
0.877573 | − | 0.479444i | \(-0.159162\pi\) | |||||||
\(620\) | 4.18410 | 0.168038 | ||||||||
\(621\) | −4.68955 | − | 1.00405i | −0.188185 | − | 0.0402910i | ||||
\(622\) | 17.8768 | 0.716794 | ||||||||
\(623\) | −6.86653 | + | 7.92440i | −0.275102 | + | 0.317484i | ||||
\(624\) | 2.60500 | − | 1.67413i | 0.104283 | − | 0.0670189i | ||||
\(625\) | −0.963688 | − | 6.70260i | −0.0385475 | − | 0.268104i | ||||
\(626\) | 8.01366 | + | 17.5475i | 0.320290 | + | 0.701338i | ||||
\(627\) | −1.91257 | + | 13.3022i | −0.0763806 | + | 0.531239i | ||||
\(628\) | −9.79304 | + | 2.87550i | −0.390785 | + | 0.114745i | ||||
\(629\) | −36.5083 | − | 23.4624i | −1.45568 | − | 0.935508i | ||||
\(630\) | −0.479771 | + | 1.05055i | −0.0191145 | + | 0.0418550i | ||||
\(631\) | −29.4529 | − | 8.64816i | −1.17250 | − | 0.344278i | −0.363223 | − | 0.931702i | \(-0.618324\pi\) |
−0.809279 | + | 0.587425i | \(0.800142\pi\) | |||||||
\(632\) | −1.80170 | − | 2.07927i | −0.0716678 | − | 0.0827090i | ||||
\(633\) | 13.9056 | + | 16.0479i | 0.552699 | + | 0.637848i | ||||
\(634\) | 3.30827 | + | 0.971396i | 0.131388 | + | 0.0385791i | ||||
\(635\) | −3.48936 | + | 7.64064i | −0.138471 | + | 0.303210i | ||||
\(636\) | −2.20739 | − | 1.41860i | −0.0875286 | − | 0.0562512i | ||||
\(637\) | 2.97114 | − | 0.872404i | 0.117721 | − | 0.0345659i | ||||
\(638\) | 0.363247 | − | 2.52644i | 0.0143811 | − | 0.100023i | ||||
\(639\) | −0.238412 | − | 0.522049i | −0.00943143 | − | 0.0206520i | ||||
\(640\) | −0.164362 | − | 1.14316i | −0.00649699 | − | 0.0451876i | ||||
\(641\) | 19.9622 | − | 12.8289i | 0.788460 | − | 0.506713i | −0.0833712 | − | 0.996519i | \(-0.526569\pi\) |
0.871832 | + | 0.489806i | \(0.162932\pi\) | |||||||
\(642\) | 6.59590 | − | 7.61208i | 0.260319 | − | 0.300425i | ||||
\(643\) | −8.49660 | −0.335073 | −0.167537 | − | 0.985866i | \(-0.553581\pi\) | ||||
−0.167537 | + | 0.985866i | \(0.553581\pi\) | |||||||
\(644\) | 4.78246 | − | 0.357823i | 0.188455 | − | 0.0141002i | ||||
\(645\) | 2.50357 | 0.0985782 | ||||||||
\(646\) | 21.1089 | − | 24.3610i | 0.830519 | − | 0.958470i | ||||
\(647\) | 40.6328 | − | 26.1131i | 1.59744 | − | 1.02661i | 0.628988 | − | 0.777415i | \(-0.283470\pi\) |
0.968453 | − | 0.249197i | \(-0.0801668\pi\) | |||||||
\(648\) | −0.142315 | − | 0.989821i | −0.00559065 | − | 0.0388839i | ||||
\(649\) | 10.7570 | + | 23.5546i | 0.422250 | + | 0.924599i | ||||
\(650\) | −1.61563 | + | 11.2370i | −0.0633703 | + | 0.440750i | ||||
\(651\) | −3.47610 | + | 1.02067i | −0.136239 | + | 0.0400034i | ||||
\(652\) | 14.9547 | + | 9.61083i | 0.585673 | + | 0.376389i | ||||
\(653\) | 12.6251 | − | 27.6452i | 0.494059 | − | 1.08184i | −0.484295 | − | 0.874905i | \(-0.660924\pi\) |
0.978355 | − | 0.206935i | \(-0.0663487\pi\) | |||||||
\(654\) | −16.3001 | − | 4.78615i | −0.637385 | − | 0.187153i | ||||
\(655\) | 9.58574 | + | 11.0625i | 0.374546 | + | 0.432249i | ||||
\(656\) | −7.47336 | − | 8.62472i | −0.291786 | − | 0.336739i | ||||
\(657\) | 13.7664 | + | 4.04217i | 0.537078 | + | 0.157700i | ||||
\(658\) | −3.92365 | + | 8.59160i | −0.152960 | + | 0.334935i | ||||
\(659\) | −18.5554 | − | 11.9248i | −0.722814 | − | 0.464525i | 0.126800 | − | 0.991928i | \(-0.459529\pi\) |
−0.849615 | + | 0.527404i | \(0.823166\pi\) | |||||||
\(660\) | −2.95510 | + | 0.867697i | −0.115027 | + | 0.0337751i | ||||
\(661\) | −0.122025 | + | 0.848701i | −0.00474622 | + | 0.0330107i | −0.992057 | − | 0.125790i | \(-0.959854\pi\) |
0.987311 | + | 0.158800i | \(0.0507626\pi\) | |||||||
\(662\) | 9.33292 | + | 20.4363i | 0.362734 | + | 0.794278i | ||||
\(663\) | 2.81878 | + | 19.6050i | 0.109472 | + | 0.761396i | ||||
\(664\) | −10.3106 | + | 6.62625i | −0.400130 | + | 0.257148i | ||||
\(665\) | 3.81143 | − | 4.39863i | 0.147801 | − | 0.170572i | ||||
\(666\) | 6.78476 | 0.262904 | ||||||||
\(667\) | −4.03597 | − | 2.18665i | −0.156273 | − | 0.0846673i | ||||
\(668\) | 22.3110 | 0.863239 | ||||||||
\(669\) | −14.2432 | + | 16.4375i | −0.550674 | + | 0.635512i | ||||
\(670\) | 4.27097 | − | 2.74479i | 0.165002 | − | 0.106040i | ||||
\(671\) | −3.09726 | − | 21.5419i | −0.119568 | − | 0.831617i | ||||
\(672\) | 0.415415 | + | 0.909632i | 0.0160250 | + | 0.0350898i | ||||
\(673\) | −3.80753 | + | 26.4820i | −0.146770 | + | 1.02080i | 0.774693 | + | 0.632337i | \(0.217904\pi\) |
−0.921463 | + | 0.388467i | \(0.873005\pi\) | |||||||
\(674\) | −20.5738 | + | 6.04103i | −0.792475 | + | 0.232692i | ||||
\(675\) | 3.08417 | + | 1.98208i | 0.118710 | + | 0.0762901i | ||||
\(676\) | −1.41709 | + | 3.10299i | −0.0545033 | + | 0.119346i | ||||
\(677\) | −44.6603 | − | 13.1134i | −1.71643 | − | 0.503990i | −0.732234 | − | 0.681053i | \(-0.761522\pi\) |
−0.984199 | + | 0.177063i | \(0.943340\pi\) | |||||||
\(678\) | −4.41550 | − | 5.09576i | −0.169576 | − | 0.195701i | ||||
\(679\) | 7.14878 | + | 8.25014i | 0.274345 | + | 0.316611i | ||||
\(680\) | 7.08799 | + | 2.08122i | 0.271812 | + | 0.0798113i | ||||
\(681\) | 3.97465 | − | 8.70328i | 0.152309 | − | 0.333510i | ||||
\(682\) | −8.12748 | − | 5.22322i | −0.311217 | − | 0.200007i | ||||
\(683\) | 3.49655 | − | 1.02668i | 0.133792 | − | 0.0392848i | −0.214151 | − | 0.976801i | \(-0.568698\pi\) |
0.347943 | + | 0.937516i | \(0.386880\pi\) | |||||||
\(684\) | −0.717196 | + | 4.98821i | −0.0274227 | + | 0.190729i | ||||
\(685\) | −1.73965 | − | 3.80930i | −0.0664686 | − | 0.145546i | ||||
\(686\) | 0.142315 | + | 0.989821i | 0.00543361 | + | 0.0377916i | ||||
\(687\) | −1.53727 | + | 0.987942i | −0.0586505 | + | 0.0376924i | ||||
\(688\) | 1.41957 | − | 1.63827i | 0.0541207 | − | 0.0624586i | ||||
\(689\) | −8.12517 | −0.309544 | ||||||||
\(690\) | −0.377006 | + | 5.52596i | −0.0143524 | + | 0.210370i | ||||
\(691\) | −15.8434 | −0.602713 | −0.301356 | − | 0.953512i | \(-0.597439\pi\) | ||||
−0.301356 | + | 0.953512i | \(0.597439\pi\) | |||||||
\(692\) | −12.0016 | + | 13.8506i | −0.456233 | + | 0.526521i | ||||
\(693\) | 2.24340 | − | 1.44174i | 0.0852196 | − | 0.0547673i | ||||
\(694\) | −3.98009 | − | 27.6821i | −0.151082 | − | 1.05080i | ||||
\(695\) | −0.125016 | − | 0.273747i | −0.00474213 | − | 0.0103838i | ||||
\(696\) | 0.136215 | − | 0.947393i | 0.00516320 | − | 0.0359108i | ||||
\(697\) | 70.0388 | − | 20.5652i | 2.65291 | − | 0.778964i | ||||
\(698\) | −4.52103 | − | 2.90549i | −0.171123 | − | 0.109974i | ||||
\(699\) | −12.0983 | + | 26.4916i | −0.457599 | + | 1.00200i | ||||
\(700\) | −3.51765 | − | 1.03288i | −0.132955 | − | 0.0390391i | ||||
\(701\) | −20.3571 | − | 23.4933i | −0.768876 | − | 0.887330i | 0.227378 | − | 0.973807i | \(-0.426985\pi\) |
−0.996254 | + | 0.0864768i | \(0.972439\pi\) | |||||||
\(702\) | −2.02782 | − | 2.34023i | −0.0765352 | − | 0.0883263i | ||||
\(703\) | −32.8068 | − | 9.63295i | −1.23733 | − | 0.363313i | ||||
\(704\) | −1.10780 | + | 2.42574i | −0.0417518 | + | 0.0914236i | ||||
\(705\) | −9.17671 | − | 5.89752i | −0.345615 | − | 0.222113i | ||||
\(706\) | −9.91908 | + | 2.91251i | −0.373310 | + | 0.109614i | ||||
\(707\) | 0.861156 | − | 5.98947i | 0.0323871 | − | 0.225257i | ||||
\(708\) | 4.03379 | + | 8.83277i | 0.151599 | + | 0.331956i | ||||
\(709\) | 5.36449 | + | 37.3108i | 0.201468 | + | 1.40124i | 0.799933 | + | 0.600089i | \(0.204868\pi\) |
−0.598466 | + | 0.801148i | \(0.704223\pi\) | |||||||
\(710\) | −0.557603 | + | 0.358349i | −0.0209264 | + | 0.0134486i | ||||
\(711\) | −1.80170 | + | 2.07927i | −0.0675690 | + | 0.0779788i | ||||
\(712\) | −10.4855 | −0.392960 | ||||||||
\(713\) | −13.8748 | + | 10.4578i | −0.519616 | + | 0.391647i | ||||
\(714\) | −6.39631 | −0.239376 | ||||||||
\(715\) | −6.24541 | + | 7.20758i | −0.233565 | + | 0.269548i | ||||
\(716\) | −14.0895 | + | 9.05475i | −0.526548 | + | 0.338392i | ||||
\(717\) | −3.50954 | − | 24.4094i | −0.131066 | − | 0.911586i | ||||
\(718\) | −7.42050 | − | 16.2486i | −0.276931 | − | 0.606394i | ||||
\(719\) | 1.10176 | − | 7.66289i | 0.0410886 | − | 0.285778i | −0.958909 | − | 0.283713i | \(-0.908434\pi\) |
0.999998 | − | 0.00206465i | \(-0.000657199\pi\) | |||||||
\(720\) | −1.10814 | + | 0.325379i | −0.0412979 | + | 0.0121261i | ||||
\(721\) | 4.29827 | + | 2.76233i | 0.160076 | + | 0.102874i | ||||
\(722\) | 2.65723 | − | 5.81852i | 0.0988918 | − | 0.216543i | ||||
\(723\) | 4.71348 | + | 1.38400i | 0.175296 | + | 0.0514716i | ||||
\(724\) | −14.9202 | − | 17.2188i | −0.554503 | − | 0.639931i | ||||
\(725\) | 2.29791 | + | 2.65193i | 0.0853424 | + | 0.0984903i | ||||
\(726\) | −3.73104 | − | 1.09553i | −0.138472 | − | 0.0406590i | ||||
\(727\) | −0.250062 | + | 0.547559i | −0.00927428 | + | 0.0203078i | −0.914212 | − | 0.405235i | \(-0.867190\pi\) |
0.904938 | + | 0.425543i | \(0.139917\pi\) | |||||||
\(728\) | 2.60500 | + | 1.67413i | 0.0965477 | + | 0.0620475i | ||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | 2.35820 | − | 16.4016i | 0.0872808 | − | 0.607051i | ||||
\(731\) | 5.75997 | + | 12.6126i | 0.213040 | + | 0.466493i | ||||
\(732\) | −1.16145 | − | 8.07803i | −0.0429283 | − | 0.298573i | ||||
\(733\) | −5.04016 | + | 3.23911i | −0.186163 | + | 0.119639i | −0.630403 | − | 0.776268i | \(-0.717110\pi\) |
0.444240 | + | 0.895908i | \(0.353474\pi\) | |||||||
\(734\) | 1.54599 | − | 1.78417i | 0.0570635 | − | 0.0658548i | ||||
\(735\) | −1.15492 | −0.0425999 | ||||||||
\(736\) | 3.40227 | + | 3.38002i | 0.125409 | + | 0.124589i | ||||
\(737\) | −11.7227 | −0.431810 | ||||||||
\(738\) | −7.47336 | + | 8.62472i | −0.275098 | + | 0.317480i | ||||
\(739\) | −15.0505 | + | 9.67236i | −0.553641 | + | 0.355803i | −0.787353 | − | 0.616502i | \(-0.788549\pi\) |
0.233712 | + | 0.972306i | \(0.424913\pi\) | |||||||
\(740\) | −1.11516 | − | 7.75610i | −0.0409941 | − | 0.285120i | ||||
\(741\) | 6.48262 | + | 14.1950i | 0.238145 | + | 0.521465i | ||||
\(742\) | 0.373424 | − | 2.59722i | 0.0137088 | − | 0.0953469i | ||||
\(743\) | −32.5539 | + | 9.55869i | −1.19429 | + | 0.350674i | −0.817666 | − | 0.575693i | \(-0.804732\pi\) |
−0.376621 | + | 0.926367i | \(0.622914\pi\) | |||||||
\(744\) | −3.04773 | − | 1.95866i | −0.111735 | − | 0.0718079i | ||||
\(745\) | −0.110819 | + | 0.242661i | −0.00406011 | + | 0.00889040i | ||||
\(746\) | −14.5511 | − | 4.27258i | −0.532753 | − | 0.156430i | ||||
\(747\) | 8.02616 | + | 9.26268i | 0.293662 | + | 0.338904i | ||||
\(748\) | −11.1701 | − | 12.8910i | −0.408420 | − | 0.471342i | ||||
\(749\) | 9.66422 | + | 2.83767i | 0.353123 | + | 0.103686i | ||||
\(750\) | 4.15777 | − | 9.10425i | 0.151820 | − | 0.332440i | ||||
\(751\) | −17.4101 | − | 11.1888i | −0.635304 | − | 0.408285i | 0.182966 | − | 0.983119i | \(-0.441430\pi\) |
−0.818270 | + | 0.574834i | \(0.805067\pi\) | |||||||
\(752\) | −9.06254 | + | 2.66100i | −0.330477 | + | 0.0970368i | ||||
\(753\) | −0.567132 | + | 3.94449i | −0.0206675 | + | 0.143745i | ||||
\(754\) | −1.23122 | − | 2.69600i | −0.0448385 | − | 0.0981825i | ||||
\(755\) | −3.51102 | − | 24.4197i | −0.127779 | − | 0.888724i | ||||
\(756\) | 0.841254 | − | 0.540641i | 0.0305961 | − | 0.0196629i | ||||
\(757\) | −4.78942 | + | 5.52729i | −0.174074 | + | 0.200893i | −0.836082 | − | 0.548605i | \(-0.815159\pi\) |
0.662007 | + | 0.749497i | \(0.269705\pi\) | |||||||
\(758\) | 26.7638 | 0.972104 | ||||||||
\(759\) | 7.63064 | − | 10.2634i | 0.276975 | − | 0.372536i | ||||
\(760\) | 5.82022 | 0.211122 | ||||||||
\(761\) | −22.7453 | + | 26.2494i | −0.824516 | + | 0.951542i | −0.999454 | − | 0.0330376i | \(-0.989482\pi\) |
0.174938 | + | 0.984579i | \(0.444027\pi\) | |||||||
\(762\) | 6.11841 | − | 3.93207i | 0.221647 | − | 0.142444i | ||||
\(763\) | −2.41768 | − | 16.8153i | −0.0875259 | − | 0.608756i | ||||
\(764\) | 1.95457 | + | 4.27990i | 0.0707137 | + | 0.154841i | ||||
\(765\) | 1.05131 | − | 7.31204i | 0.0380103 | − | 0.264367i | ||||
\(766\) | 25.7805 | − | 7.56983i | 0.931486 | − | 0.273509i | ||||
\(767\) | 25.2952 | + | 16.2563i | 0.913358 | + | 0.586980i | ||||
\(768\) | −0.415415 | + | 0.909632i | −0.0149900 | + | 0.0328235i | ||||
\(769\) | 27.5374 | + | 8.08572i | 0.993025 | + | 0.291579i | 0.737591 | − | 0.675248i | \(-0.235963\pi\) |
0.255434 | + | 0.966826i | \(0.417782\pi\) | |||||||
\(770\) | −2.01688 | − | 2.32760i | −0.0726833 | − | 0.0838810i | ||||
\(771\) | 18.8372 | + | 21.7393i | 0.678406 | + | 0.782922i | ||||
\(772\) | −7.39915 | − | 2.17259i | −0.266301 | − | 0.0781931i | ||||
\(773\) | 0.0741449 | − | 0.162355i | 0.00266681 | − | 0.00583949i | −0.908294 | − | 0.418333i | \(-0.862615\pi\) |
0.910961 | + | 0.412493i | \(0.135342\pi\) | |||||||
\(774\) | −1.82362 | − | 1.17197i | −0.0655488 | − | 0.0421257i | ||||
\(775\) | 12.7439 | − | 3.74195i | 0.457775 | − | 0.134415i | ||||
\(776\) | −1.55358 | + | 10.8054i | −0.0557703 | + | 0.387891i | ||||
\(777\) | 2.81849 | + | 6.17164i | 0.101113 | + | 0.221406i | ||||
\(778\) | −4.91124 | − | 34.1584i | −0.176077 | − | 1.22464i | ||||
\(779\) | 48.3817 | − | 31.0931i | 1.73346 | − | 1.11402i | ||||
\(780\) | −2.34197 | + | 2.70278i | −0.0838561 | + | 0.0967751i | ||||
\(781\) | 1.53047 | 0.0547645 | ||||||||
\(782\) | −28.7062 | + | 10.8143i | −1.02653 | + | 0.386718i | ||||
\(783\) | −0.957135 | −0.0342052 | ||||||||
\(784\) | −0.654861 | + | 0.755750i | −0.0233879 | + | 0.0269911i | ||||
\(785\) | 9.91642 | − | 6.37289i | 0.353932 | − | 0.227458i | ||||
\(786\) | −1.80374 | − | 12.5453i | −0.0643374 | − | 0.447477i | ||||
\(787\) | 2.27638 | + | 4.98457i | 0.0811441 | + | 0.177681i | 0.945855 | − | 0.324589i | \(-0.105226\pi\) |
−0.864711 | + | 0.502269i | \(0.832499\pi\) | |||||||
\(788\) | −0.728798 | + | 5.06890i | −0.0259623 | + | 0.180572i | ||||
\(789\) | 12.1293 | − | 3.56148i | 0.431815 | − | 0.126792i | ||||
\(790\) | 2.67308 | + | 1.71789i | 0.0951040 | + | 0.0611196i | ||||
\(791\) | 2.80100 | − | 6.13333i | 0.0995921 | − | 0.218076i | ||||
\(792\) | 2.55871 | + | 0.751305i | 0.0909198 | + | 0.0266964i | ||||
\(793\) | −16.5493 | − | 19.0989i | −0.587681 | − | 0.678221i | ||||
\(794\) | −6.47582 | − | 7.47350i | −0.229818 | − | 0.265224i | ||||
\(795\) | 2.90767 | + | 0.853770i | 0.103125 | + | 0.0302801i | ||||
\(796\) | 0.474190 | − | 1.03833i | 0.0168072 | − | 0.0368027i | ||||
\(797\) | −36.7029 | − | 23.5875i | −1.30008 | − | 0.835513i | −0.306863 | − | 0.951754i | \(-0.599279\pi\) |
−0.993221 | + | 0.116240i | \(0.962916\pi\) | |||||||
\(798\) | −4.83537 | + | 1.41979i | −0.171170 | + | 0.0502601i | ||||
\(799\) | 8.59781 | − | 59.7991i | 0.304169 | − | 2.11554i | ||||
\(800\) | −1.52298 | − | 3.33486i | −0.0538454 | − | 0.117905i | ||||
\(801\) | 1.49224 | + | 10.3788i | 0.0527257 | + | 0.366715i | ||||
\(802\) | 2.99564 | − | 1.92518i | 0.105780 | − | 0.0679806i | ||||
\(803\) | −25.0557 | + | 28.9158i | −0.884195 | + | 1.02042i | ||||
\(804\) | −4.39590 | −0.155031 | ||||||||
\(805\) | −5.18320 | + | 1.95263i | −0.182684 | + | 0.0688211i | ||||
\(806\) | −11.2184 | −0.395151 | ||||||||
\(807\) | 7.66022 | − | 8.84036i | 0.269652 | − | 0.311195i | ||||
\(808\) | 5.09048 | − | 3.27145i | 0.179082 | − | 0.115089i | ||||
\(809\) | −1.67230 | − | 11.6311i | −0.0587949 | − | 0.408927i | −0.997871 | − | 0.0652182i | \(-0.979226\pi\) |
0.939076 | − | 0.343709i | \(-0.111683\pi\) | |||||||
\(810\) | 0.479771 | + | 1.05055i | 0.0168574 | + | 0.0369126i | ||||
\(811\) | −2.40798 | + | 16.7479i | −0.0845557 | + | 0.588097i | 0.902858 | + | 0.429939i | \(0.141465\pi\) |
−0.987414 | + | 0.158159i | \(0.949444\pi\) | |||||||
\(812\) | 0.918365 | − | 0.269656i | 0.0322283 | − | 0.00946308i | ||||
\(813\) | −16.1397 | − | 10.3724i | −0.566045 | − | 0.363775i | ||||
\(814\) | −7.51616 | + | 16.4581i | −0.263441 | + | 0.576856i | ||||
\(815\) | −19.6991 | − | 5.78417i | −0.690029 | − | 0.202611i | ||||
\(816\) | −4.18869 | − | 4.83401i | −0.146634 | − | 0.169224i | ||||
\(817\) | 7.15394 | + | 8.25608i | 0.250285 | + | 0.288844i | ||||
\(818\) | −25.9051 | − | 7.60642i | −0.905750 | − | 0.265952i | ||||
\(819\) | 1.28636 | − | 2.81674i | 0.0449491 | − | 0.0984248i | ||||
\(820\) | 11.0878 | + | 7.12570i | 0.387203 | + | 0.248840i | ||||
\(821\) | −27.3601 | + | 8.03365i | −0.954875 | + | 0.280376i | −0.721815 | − | 0.692086i | \(-0.756692\pi\) |
−0.233059 | + | 0.972462i | \(0.574874\pi\) | |||||||
\(822\) | −0.516033 | + | 3.58909i | −0.0179987 | + | 0.125184i | ||||
\(823\) | −0.624970 | − | 1.36849i | −0.0217851 | − | 0.0477027i | 0.898427 | − | 0.439124i | \(-0.144711\pi\) |
−0.920212 | + | 0.391421i | \(0.871984\pi\) | |||||||
\(824\) | 0.727137 | + | 5.05735i | 0.0253310 | + | 0.176181i | ||||
\(825\) | −8.22465 | + | 5.28566i | −0.286345 | + | 0.184023i | ||||
\(826\) | −6.35887 | + | 7.33853i | −0.221253 | + | 0.255340i | ||||
\(827\) | −33.2285 | −1.15547 | −0.577734 | − | 0.816225i | \(-0.696063\pi\) | ||||
−0.577734 | + | 0.816225i | \(0.696063\pi\) | |||||||
\(828\) | 2.86142 | − | 3.84867i | 0.0994413 | − | 0.133751i | ||||
\(829\) | −44.3976 | −1.54199 | −0.770997 | − | 0.636839i | \(-0.780242\pi\) | ||||
−0.770997 | + | 0.636839i | \(0.780242\pi\) | |||||||
\(830\) | 9.26957 | − | 10.6977i | 0.321751 | − | 0.371321i | ||||
\(831\) | 13.4156 | − | 8.62168i | 0.465382 | − | 0.299083i | ||||
\(832\) | 0.440688 | + | 3.06505i | 0.0152781 | + | 0.106262i | ||||
\(833\) | −2.65712 | − | 5.81829i | −0.0920639 | − | 0.201592i | ||||
\(834\) | −0.0370836 | + | 0.257922i | −0.00128410 | + | 0.00893111i | ||||
\(835\) | −24.7237 | + | 7.25952i | −0.855598 | + | 0.251226i | ||||
\(836\) | −11.3056 | − | 7.26566i | −0.391012 | − | 0.251288i | ||||
\(837\) | −1.50499 | + | 3.29546i | −0.0520199 | + | 0.113908i | ||||
\(838\) | 4.51578 | + | 1.32595i | 0.155995 | + | 0.0458042i | ||||
\(839\) | 4.77023 | + | 5.50514i | 0.164687 | + | 0.190058i | 0.832094 | − | 0.554634i | \(-0.187142\pi\) |
−0.667408 | + | 0.744692i | \(0.732596\pi\) | |||||||
\(840\) | −0.756312 | − | 0.872830i | −0.0260952 | − | 0.0301155i | ||||
\(841\) | 26.9463 | + | 7.91215i | 0.929183 | + | 0.272833i | ||||
\(842\) | 1.62006 | − | 3.54744i | 0.0558310 | − | 0.122253i | ||||
\(843\) | −10.7578 | − | 6.91361i | −0.370518 | − | 0.238117i | ||||
\(844\) | −20.3743 | + | 5.98244i | −0.701313 | + | 0.205924i | ||||
\(845\) | 0.560682 | − | 3.89963i | 0.0192880 | − | 0.134151i | ||||
\(846\) | 3.92365 | + | 8.59160i | 0.134898 | + | 0.295385i | ||||
\(847\) | −0.553399 | − | 3.84897i | −0.0190150 | − | 0.132252i | ||||
\(848\) | 2.20739 | − | 1.41860i | 0.0758020 | − | 0.0487150i | ||||
\(849\) | 10.6864 | − | 12.3328i | 0.366756 | − | 0.423259i | ||||
\(850\) | 23.4499 | 0.804325 | ||||||||
\(851\) | 23.0836 | + | 22.9326i | 0.791296 | + | 0.786121i | ||||
\(852\) | 0.573913 | 0.0196619 | ||||||||
\(853\) | −14.5361 | + | 16.7755i | −0.497706 | + | 0.574383i | −0.947908 | − | 0.318543i | \(-0.896806\pi\) |
0.450203 | + | 0.892926i | \(0.351352\pi\) | |||||||
\(854\) | 6.86556 | − | 4.41222i | 0.234934 | − | 0.150983i | ||||
\(855\) | −0.828304 | − | 5.76098i | −0.0283274 | − | 0.197021i | ||||
\(856\) | 4.18415 | + | 9.16201i | 0.143011 | + | 0.313151i | ||||
\(857\) | −0.00557206 | + | 0.0387545i | −0.000190338 | + | 0.00132383i | −0.989916 | − | 0.141653i | \(-0.954758\pi\) |
0.989726 | + | 0.142977i | \(0.0456674\pi\) | |||||||
\(858\) | 7.92322 | − | 2.32647i | 0.270494 | − | 0.0794243i | ||||
\(859\) | 13.5942 | + | 8.73646i | 0.463828 | + | 0.298084i | 0.751605 | − | 0.659613i | \(-0.229280\pi\) |
−0.287777 | + | 0.957697i | \(0.592916\pi\) | |||||||
\(860\) | −1.04002 | + | 2.27733i | −0.0354645 | + | 0.0776564i | ||||
\(861\) | −10.9499 | − | 3.21517i | −0.373170 | − | 0.109573i | ||||
\(862\) | 12.2918 | + | 14.1855i | 0.418660 | + | 0.483160i | ||||
\(863\) | −10.2287 | − | 11.8045i | −0.348188 | − | 0.401831i | 0.554460 | − | 0.832211i | \(-0.312925\pi\) |
−0.902648 | + | 0.430380i | \(0.858380\pi\) | |||||||
\(864\) | 0.959493 | + | 0.281733i | 0.0326426 | + | 0.00958474i | ||||
\(865\) | 8.79276 | − | 19.2534i | 0.298963 | − | 0.654637i | ||||
\(866\) | −28.4386 | − | 18.2764i | −0.966383 | − | 0.621056i | ||||
\(867\) | 22.9442 | − | 6.73701i | 0.779224 | − | 0.228801i | ||||
\(868\) | 0.515585 | − | 3.58597i | 0.0175001 | − | 0.121716i | ||||
\(869\) | −3.04786 | − | 6.67388i | −0.103392 | − | 0.226396i | ||||
\(870\) | 0.157317 | + | 1.09416i | 0.00533354 | + | 0.0370956i | ||||
\(871\) | −11.4513 | + | 7.35931i | −0.388013 | + | 0.249361i | ||||
\(872\) | 11.1249 | − | 12.8389i | 0.376738 | − | 0.434779i | ||||
\(873\) | 10.9165 | 0.369467 | ||||||||
\(874\) | −19.3003 | + | 14.5471i | −0.652844 | + | 0.492063i | ||||
\(875\) | 10.0087 | 0.338357 | ||||||||
\(876\) | −9.39565 | + | 10.8432i | −0.317450 | + | 0.366356i | ||||
\(877\) | 43.9390 | − | 28.2379i | 1.48371 | − | 0.953526i | 0.486927 | − | 0.873443i | \(-0.338118\pi\) |
0.996788 | − | 0.0800827i | \(-0.0255184\pi\) | |||||||
\(878\) | 3.19485 | + | 22.2207i | 0.107821 | + | 0.749912i | ||||
\(879\) | 7.20058 | + | 15.7671i | 0.242869 | + | 0.531810i | ||||
\(880\) | 0.438310 | − | 3.04851i | 0.0147754 | − | 0.102765i | ||||
\(881\) | 23.0941 | − | 6.78103i | 0.778059 | − | 0.228459i | 0.131494 | − | 0.991317i | \(-0.458023\pi\) |
0.646566 | + | 0.762858i | \(0.276205\pi\) | |||||||
\(882\) | 0.841254 | + | 0.540641i | 0.0283265 | + | 0.0182043i | ||||
\(883\) | 17.9215 | − | 39.2426i | 0.603106 | − | 1.32062i | −0.324084 | − | 0.946028i | \(-0.605056\pi\) |
0.927190 | − | 0.374590i | \(-0.122217\pi\) | |||||||
\(884\) | −19.0043 | − | 5.58017i | −0.639184 | − | 0.187681i | ||||
\(885\) | −7.34399 | − | 8.47541i | −0.246865 | − | 0.284898i | ||||
\(886\) | −8.13024 | − | 9.38279i | −0.273141 | − | 0.315221i | ||||
\(887\) | 29.9717 | + | 8.80049i | 1.00635 | + | 0.295492i | 0.743060 | − | 0.669225i | \(-0.233374\pi\) |
0.263292 | + | 0.964716i | \(0.415192\pi\) | |||||||
\(888\) | −2.81849 | + | 6.17164i | −0.0945824 | + | 0.207107i | ||||
\(889\) | 6.11841 | + | 3.93207i | 0.205205 | + | 0.131877i | ||||
\(890\) | 11.6194 | − | 3.41175i | 0.389482 | − | 0.114362i | ||||
\(891\) | 0.379515 | − | 2.63959i | 0.0127142 | − | 0.0884295i | ||||
\(892\) | −9.03527 | − | 19.7845i | −0.302523 | − | 0.662433i | ||||
\(893\) | −6.77401 | − | 47.1143i | −0.226684 | − | 1.57662i | ||||
\(894\) | 0.194316 | − | 0.124879i | 0.00649890 | − | 0.00417659i | ||||
\(895\) | 12.6669 | − | 14.6183i | 0.423406 | − | 0.488637i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | 1.01083 | − | 14.8162i | 0.0337505 | − | 0.494698i | ||||
\(898\) | 16.7746 | 0.559776 | ||||||||
\(899\) | −2.27077 | + | 2.62060i | −0.0757343 | + | 0.0874020i | ||||
\(900\) | −3.08417 | + | 1.98208i | −0.102806 | + | 0.0660692i | ||||
\(901\) | 2.38853 | + | 16.6126i | 0.0795736 | + | 0.553447i | ||||
\(902\) | −12.6424 | − | 27.6829i | −0.420945 | − | 0.921740i | ||||
\(903\) | 0.308503 | − | 2.14568i | 0.0102663 | − | 0.0714038i | ||||
\(904\) | 6.46953 | − | 1.89963i | 0.215173 | − | 0.0631806i | ||||
\(905\) | 22.1362 | + | 14.2261i | 0.735832 | + | 0.472891i | ||||
\(906\) | −8.87389 | + | 19.4311i | −0.294815 | + | 0.645555i | ||||
\(907\) | 44.5648 | + | 13.0854i | 1.47975 | + | 0.434494i | 0.919254 | − | 0.393664i | \(-0.128793\pi\) |
0.560495 | + | 0.828158i | \(0.310611\pi\) | |||||||
\(908\) | 6.26565 | + | 7.23094i | 0.207933 | + | 0.239967i | ||||
\(909\) | −3.96260 | − | 4.57309i | −0.131431 | − | 0.151680i | ||||
\(910\) | −3.43143 | − | 1.00756i | −0.113751 | − | 0.0334002i | ||||
\(911\) | 4.54592 | − | 9.95418i | 0.150613 | − | 0.329797i | −0.819254 | − | 0.573431i | \(-0.805612\pi\) |
0.969867 | + | 0.243634i | \(0.0783395\pi\) | |||||||
\(912\) | −4.23950 | − | 2.72456i | −0.140384 | − | 0.0902192i | ||||
\(913\) | −31.3602 | + | 9.20820i | −1.03787 | + | 0.304747i | ||||
\(914\) | −3.97408 | + | 27.6403i | −0.131451 | + | 0.914261i | ||||
\(915\) | 3.91546 | + | 8.57366i | 0.129441 | + | 0.283437i | ||||
\(916\) | −0.260060 | − | 1.80875i | −0.00859261 | − | 0.0597629i | ||||
\(917\) | 10.6623 | − | 6.85226i | 0.352101 | − | 0.226282i | ||||
\(918\) | −4.18869 | + | 4.83401i | −0.138247 | + | 0.159546i | ||||
\(919\) | −42.8164 | −1.41238 | −0.706191 | − | 0.708022i | \(-0.749588\pi\) | ||||
−0.706191 | + | 0.708022i | \(0.749588\pi\) | |||||||
\(920\) | −4.86997 | − | 2.63850i | −0.160558 | − | 0.0869888i | ||||
\(921\) | −16.8706 | −0.555904 | ||||||||
\(922\) | 14.8491 | − | 17.1368i | 0.489029 | − | 0.564369i | ||||
\(923\) | 1.49504 | − | 0.960806i | 0.0492099 | − | 0.0316253i | ||||
\(924\) | 0.379515 | + | 2.63959i | 0.0124851 | + | 0.0868360i | ||||
\(925\) | −10.3330 | − | 22.6262i | −0.339748 | − | 0.743945i | ||||
\(926\) | 1.02589 | − | 7.13524i | 0.0337129 | − | 0.234478i | ||||
\(927\) | 4.90239 | − | 1.43947i | 0.161016 | − | 0.0472785i | ||||
\(928\) | 0.805193 | + | 0.517466i | 0.0264318 | + | 0.0169867i | ||||
\(929\) | 20.6037 | − | 45.1157i | 0.675984 | − | 1.48020i | −0.190858 | − | 0.981618i | \(-0.561127\pi\) |
0.866843 | − | 0.498582i | \(-0.166146\pi\) | |||||||
\(930\) | 4.01462 | + | 1.17880i | 0.131644 | + | 0.0386543i | ||||
\(931\) | −3.30017 | − | 3.80860i | −0.108159 | − | 0.124822i | ||||
\(932\) | −19.0718 | − | 22.0100i | −0.624716 | − | 0.720961i | ||||
\(933\) | 17.1526 | + | 5.03647i | 0.561552 | + | 0.164887i | ||||
\(934\) | 8.89304 | − | 19.4730i | 0.290989 | − | 0.637177i | ||||
\(935\) | 16.5725 | + | 10.6505i | 0.541978 | + | 0.348308i | ||||
\(936\) | 2.97114 | − | 0.872404i | 0.0971146 | − | 0.0285154i | ||||
\(937\) | 5.30901 | − | 36.9250i | 0.173438 | − | 1.20629i | −0.698115 | − | 0.715985i | \(-0.745978\pi\) |
0.871553 | − | 0.490301i | \(-0.163113\pi\) | |||||||
\(938\) | −1.82612 | − | 3.99865i | −0.0596250 | − | 0.130561i | ||||
\(939\) | 2.74536 | + | 19.0944i | 0.0895914 | + | 0.623122i | ||||
\(940\) | 9.17671 | − | 5.89752i | 0.299311 | − | 0.192356i | ||||
\(941\) | 11.3648 | − | 13.1157i | 0.370483 | − | 0.427561i | −0.539641 | − | 0.841895i | \(-0.681440\pi\) |
0.910125 | + | 0.414334i | \(0.135986\pi\) | |||||||
\(942\) | −10.2065 | −0.332545 | ||||||||
\(943\) | −54.5781 | + | 4.08353i | −1.77731 | + | 0.132978i | ||||
\(944\) | −9.71026 | −0.316042 | ||||||||
\(945\) | −0.756312 | + | 0.872830i | −0.0246028 | + | 0.0283932i | ||||
\(946\) | 4.86312 | − | 3.12533i | 0.158114 | − | 0.101613i | ||||
\(947\) | −1.54910 | − | 10.7742i | −0.0503390 | − | 0.350115i | −0.999388 | − | 0.0349862i | \(-0.988861\pi\) |
0.949049 | − | 0.315129i | \(-0.102048\pi\) | |||||||
\(948\) | −1.14292 | − | 2.50264i | −0.0371203 | − | 0.0812821i | ||||
\(949\) | −6.32279 | + | 43.9760i | −0.205247 | + | 1.42752i | ||||
\(950\) | 17.7272 | − | 5.20518i | 0.575147 | − | 0.168878i | ||||
\(951\) | 2.90059 | + | 1.86410i | 0.0940581 | + | 0.0604474i | ||||
\(952\) | 2.65712 | − | 5.81829i | 0.0861179 | − | 0.188572i | ||||
\(953\) | −40.4844 | − | 11.8873i | −1.31142 | − | 0.385067i | −0.450029 | − | 0.893014i | \(-0.648586\pi\) |
−0.861388 | + | 0.507947i | \(0.830404\pi\) | |||||||
\(954\) | −1.71831 | − | 1.98303i | −0.0556322 | − | 0.0642030i | ||||
\(955\) | −3.55852 | − | 4.10675i | −0.115151 | − | 0.132891i | ||||
\(956\) | 23.6615 | + | 6.94764i | 0.765268 | + | 0.224703i | ||||
\(957\) | 1.06031 | − | 2.32176i | 0.0342751 | − | 0.0750520i | ||||
\(958\) | 10.4617 | + | 6.72332i | 0.338002 | + | 0.217221i | ||||
\(959\) | −3.47912 | + | 1.02156i | −0.112347 | + | 0.0329880i | ||||
\(960\) | 0.164362 | − | 1.14316i | 0.00530477 | − | 0.0368955i | ||||
\(961\) | −7.42553 | − | 16.2596i | −0.239533 | − | 0.524505i | ||||
\(962\) | 2.98996 | + | 20.7956i | 0.0964002 | + | 0.670478i | ||||
\(963\) | 8.47329 | − | 5.44545i | 0.273048 | − | 0.175477i | ||||
\(964\) | −3.21698 | + | 3.71260i | −0.103612 | + | 0.119575i | ||||
\(965\) | 8.90619 | 0.286700 | ||||||||
\(966\) | 4.68955 | + | 1.00405i | 0.150884 | + | 0.0323047i | ||||
\(967\) | 36.2407 | 1.16542 | 0.582711 | − | 0.812679i | \(-0.301992\pi\) | ||||
0.582711 | + | 0.812679i | \(0.301992\pi\) | |||||||
\(968\) | 2.54646 | − | 2.93877i | 0.0818463 | − | 0.0944557i | ||||
\(969\) | 27.1171 | − | 17.4271i | 0.871128 | − | 0.559840i | ||||
\(970\) | −1.79426 | − | 12.4794i | −0.0576102 | − | 0.400688i | ||||
\(971\) | −20.9544 | − | 45.8838i | −0.672460 | − | 1.47248i | −0.870440 | − | 0.492275i | \(-0.836165\pi\) |
0.197980 | − | 0.980206i | \(-0.436562\pi\) | |||||||
\(972\) | 0.142315 | − | 0.989821i | 0.00456475 | − | 0.0317485i | ||||
\(973\) | −0.250019 | + | 0.0734122i | −0.00801524 | + | 0.00235349i | ||||
\(974\) | −20.6743 | − | 13.2866i | −0.662447 | − | 0.425729i | ||||
\(975\) | −4.71601 | + | 10.3266i | −0.151033 | + | 0.330716i | ||||
\(976\) | 7.83052 | + | 2.29925i | 0.250649 | + | 0.0735971i | ||||
\(977\) | 27.0201 | + | 31.1828i | 0.864449 | + | 0.997628i | 0.999977 | + | 0.00685392i | \(0.00218169\pi\) |
−0.135527 | + | 0.990774i | \(0.543273\pi\) | |||||||
\(978\) | 11.6413 | + | 13.4348i | 0.372247 | + | 0.429596i | ||||
\(979\) | −26.8293 | − | 7.87779i | −0.857468 | − | 0.251775i | ||||
\(980\) | 0.479771 | − | 1.05055i | 0.0153257 | − | 0.0335587i | ||||
\(981\) | −14.2914 | − | 9.18455i | −0.456290 | − | 0.293240i | ||||
\(982\) | 7.80098 | − | 2.29057i | 0.248939 | − | 0.0730951i | ||||
\(983\) | 0.715715 | − | 4.97791i | 0.0228278 | − | 0.158771i | −0.975219 | − | 0.221242i | \(-0.928989\pi\) |
0.998047 | + | 0.0624711i | \(0.0198981\pi\) | |||||||
\(984\) | −4.74077 | − | 10.3808i | −0.151130 | − | 0.330929i | ||||
\(985\) | −0.841703 | − | 5.85418i | −0.0268189 | − | 0.186530i | ||||
\(986\) | −5.15027 | + | 3.30988i | −0.164018 | + | 0.105408i | ||||
\(987\) | −6.18525 | + | 7.13816i | −0.196879 | + | 0.227210i | ||||
\(988\) | −15.6052 | −0.496466 | ||||||||
\(989\) | −2.24318 | − | 10.1513i | −0.0713289 | − | 0.322791i | ||||
\(990\) | −3.07986 | −0.0978844 | ||||||||
\(991\) | −19.7157 | + | 22.7531i | −0.626289 | + | 0.722776i | −0.976889 | − | 0.213749i | \(-0.931432\pi\) |
0.350599 | + | 0.936526i | \(0.385978\pi\) | |||||||
\(992\) | 3.04773 | − | 1.95866i | 0.0967656 | − | 0.0621875i | ||||
\(993\) | 3.19732 | + | 22.2378i | 0.101464 | + | 0.705696i | ||||
\(994\) | 0.238412 | + | 0.522049i | 0.00756197 | + | 0.0165584i | ||||
\(995\) | −0.187617 | + | 1.30490i | −0.00594786 | + | 0.0413683i | ||||
\(996\) | −11.7598 | + | 3.45299i | −0.372624 | + | 0.109412i | ||||
\(997\) | −0.317329 | − | 0.203935i | −0.0100499 | − | 0.00645868i | 0.535606 | − | 0.844468i | \(-0.320083\pi\) |
−0.545656 | + | 0.838009i | \(0.683720\pi\) | |||||||
\(998\) | −3.24478 | + | 7.10508i | −0.102712 | + | 0.224907i | ||||
\(999\) | 6.50993 | + | 1.91149i | 0.205965 | + | 0.0604768i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 966.2.q.j.85.3 | ✓ | 40 | |
23.13 | even | 11 | inner | 966.2.q.j.841.3 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.q.j.85.3 | ✓ | 40 | 1.1 | even | 1 | trivial | |
966.2.q.j.841.3 | yes | 40 | 23.13 | even | 11 | inner |