Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [289,2,Mod(2,289)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(289, base_ring=CyclotomicField(136))
chi = DirichletCharacter(H, H._module([95]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("289.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 289 = 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 289.i (of order \(136\), degree \(64\), 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: | \(2.30767661842\) |
Analytic rank: | \(0\) |
Dimension: | \(1600\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{136})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{136}]$ |
Embedding invariants
Embedding label | 128.6 | ||
Character | \(\chi\) | \(=\) | 289.128 |
Dual form | 289.2.i.a.70.6 |
$q$-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 \(\left(\mathbb{Z}/289\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{121}{136}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.93534 | − | 0.269969i | −1.36849 | − | 0.190897i | −0.584363 | − | 0.811492i | \(-0.698656\pi\) |
−0.784131 | + | 0.620596i | \(0.786891\pi\) | |||||||
\(3\) | −2.50067 | + | 0.902907i | −1.44376 | + | 0.521294i | −0.939588 | − | 0.342309i | \(-0.888791\pi\) |
−0.504174 | + | 0.863602i | \(0.668203\pi\) | |||||||
\(4\) | 1.74902 | + | 0.497638i | 0.874509 | + | 0.248819i | ||||
\(5\) | −1.53733 | + | 1.61005i | −0.687516 | + | 0.720036i | −0.971037 | − | 0.238930i | \(-0.923203\pi\) |
0.283521 | + | 0.958966i | \(0.408497\pi\) | |||||||
\(6\) | 5.08341 | − | 1.07233i | 2.07529 | − | 0.437778i | ||||
\(7\) | 3.74468 | − | 1.15959i | 1.41536 | − | 0.438285i | 0.508987 | − | 0.860774i | \(-0.330020\pi\) |
0.906368 | + | 0.422489i | \(0.138843\pi\) | |||||||
\(8\) | 0.324563 | + | 0.143308i | 0.114750 | + | 0.0506672i | ||||
\(9\) | 3.13010 | − | 2.59920i | 1.04337 | − | 0.866400i | ||||
\(10\) | 3.40993 | − | 2.70097i | 1.07831 | − | 0.854121i | ||||
\(11\) | 0.556979 | + | 4.80088i | 0.167935 | + | 1.44752i | 0.764329 | + | 0.644826i | \(0.223070\pi\) |
−0.596394 | + | 0.802692i | \(0.703400\pi\) | |||||||
\(12\) | −4.82303 | + | 0.334771i | −1.39229 | + | 0.0966402i | ||||
\(13\) | −0.120738 | − | 0.311662i | −0.0334868 | − | 0.0864394i | 0.914727 | − | 0.404073i | \(-0.132406\pi\) |
−0.948213 | + | 0.317634i | \(0.897112\pi\) | |||||||
\(14\) | −7.56029 | + | 1.23326i | −2.02057 | + | 0.329604i | ||||
\(15\) | 2.39063 | − | 5.41427i | 0.617259 | − | 1.39796i | ||||
\(16\) | −3.68158 | − | 2.27954i | −0.920395 | − | 0.569884i | ||||
\(17\) | −4.05535 | + | 0.744410i | −0.983567 | + | 0.180546i | ||||
\(18\) | −6.75952 | + | 4.18532i | −1.59323 | + | 0.986488i | ||||
\(19\) | 0.348227 | + | 2.49636i | 0.0798888 | + | 0.572704i | 0.988056 | + | 0.154096i | \(0.0492466\pi\) |
−0.908167 | + | 0.418608i | \(0.862518\pi\) | |||||||
\(20\) | −3.49004 | + | 2.05097i | −0.780397 | + | 0.458611i | ||||
\(21\) | −8.31719 | + | 6.28085i | −1.81496 | + | 1.37059i | ||||
\(22\) | 0.218142 | − | 9.44171i | 0.0465080 | − | 2.01298i | ||||
\(23\) | −1.28005 | − | 4.13367i | −0.266909 | − | 0.861929i | −0.985961 | − | 0.166974i | \(-0.946601\pi\) |
0.719053 | − | 0.694955i | \(-0.244576\pi\) | |||||||
\(24\) | −0.941018 | − | 0.0653170i | −0.192085 | − | 0.0133328i | ||||
\(25\) | 0.00204820 | + | 0.0443019i | 0.000409640 | + | 0.00886039i | ||||
\(26\) | 0.149531 | + | 0.635768i | 0.0293255 | + | 0.124684i | ||||
\(27\) | −1.43941 | + | 2.44939i | −0.277015 | + | 0.471384i | ||||
\(28\) | 7.12656 | − | 0.164653i | 1.34679 | − | 0.0311164i | ||||
\(29\) | 4.63775 | + | 3.67351i | 0.861208 | + | 0.682153i | 0.949441 | − | 0.313947i | \(-0.101651\pi\) |
−0.0882329 | + | 0.996100i | \(0.528122\pi\) | |||||||
\(30\) | −6.08838 | + | 9.83307i | −1.11158 | + | 1.79526i | ||||
\(31\) | −10.0076 | − | 0.231217i | −1.79742 | − | 0.0415277i | −0.888592 | − | 0.458697i | \(-0.848316\pi\) |
−0.908829 | + | 0.417170i | \(0.863022\pi\) | |||||||
\(32\) | 5.96381 | + | 4.95228i | 1.05426 | + | 0.875448i | ||||
\(33\) | −5.72756 | − | 11.5025i | −0.997041 | − | 2.00233i | ||||
\(34\) | 8.04946 | − | 0.345871i | 1.38047 | − | 0.0593164i | ||||
\(35\) | −3.88981 | + | 7.81180i | −0.657498 | + | 1.32043i | ||||
\(36\) | 6.76806 | − | 2.98839i | 1.12801 | − | 0.498065i | ||||
\(37\) | −0.195491 | + | 0.170114i | −0.0321385 | + | 0.0279665i | −0.672367 | − | 0.740218i | \(-0.734722\pi\) |
0.640228 | + | 0.768185i | \(0.278840\pi\) | |||||||
\(38\) | − | 4.92532i | − | 0.798993i | ||||||
\(39\) | 0.583328 | + | 0.670347i | 0.0934072 | + | 0.107341i | ||||
\(40\) | −0.729695 | + | 0.302249i | −0.115375 | + | 0.0477898i | ||||
\(41\) | 4.40996 | + | 2.07020i | 0.688720 | + | 0.323310i | 0.737354 | − | 0.675506i | \(-0.236075\pi\) |
−0.0486337 | + | 0.998817i | \(0.515487\pi\) | |||||||
\(42\) | 17.7923 | − | 9.91022i | 2.74540 | − | 1.52918i | ||||
\(43\) | −6.08888 | − | 1.43209i | −0.928545 | − | 0.218392i | −0.263040 | − | 0.964785i | \(-0.584725\pi\) |
−0.665505 | + | 0.746393i | \(0.731784\pi\) | |||||||
\(44\) | −1.41493 | + | 8.67399i | −0.213309 | + | 1.30765i | ||||
\(45\) | −0.627160 | + | 9.03545i | −0.0934914 | + | 1.34693i | ||||
\(46\) | 1.36137 | + | 8.34563i | 0.200723 | + | 1.23050i | ||||
\(47\) | −8.98972 | + | 0.833021i | −1.31129 | + | 0.121509i | −0.725086 | − | 0.688658i | \(-0.758200\pi\) |
−0.586200 | + | 0.810167i | \(0.699377\pi\) | |||||||
\(48\) | 11.2646 | + | 2.37624i | 1.62591 | + | 0.342981i | ||||
\(49\) | 6.90298 | − | 4.72865i | 0.986140 | − | 0.675522i | ||||
\(50\) | 0.00799617 | − | 0.0862924i | 0.00113083 | − | 0.0122036i | ||||
\(51\) | 9.46895 | − | 5.52313i | 1.32592 | − | 0.773392i | ||||
\(52\) | −0.0560787 | − | 0.605185i | −0.00777672 | − | 0.0839241i | ||||
\(53\) | −3.69952 | − | 4.45516i | −0.508168 | − | 0.611963i | 0.451784 | − | 0.892127i | \(-0.350788\pi\) |
−0.959952 | + | 0.280164i | \(0.909611\pi\) | |||||||
\(54\) | 3.44702 | − | 4.35180i | 0.469079 | − | 0.592206i | ||||
\(55\) | −8.58591 | − | 6.48378i | −1.15772 | − | 0.874272i | ||||
\(56\) | 1.38156 | + | 0.160284i | 0.184619 | + | 0.0214188i | ||||
\(57\) | −3.12478 | − | 5.92815i | −0.413887 | − | 0.785203i | ||||
\(58\) | −7.98389 | − | 8.36154i | −1.04834 | − | 1.09792i | ||||
\(59\) | −8.63562 | − | 5.91554i | −1.12426 | − | 0.770137i | −0.148487 | − | 0.988914i | \(-0.547440\pi\) |
−0.975775 | + | 0.218777i | \(0.929793\pi\) | |||||||
\(60\) | 6.87561 | − | 8.27998i | 0.887637 | − | 1.06894i | ||||
\(61\) | 2.50086 | + | 11.8554i | 0.320202 | + | 1.51792i | 0.777656 | + | 0.628690i | \(0.216409\pi\) |
−0.457453 | + | 0.889234i | \(0.651238\pi\) | |||||||
\(62\) | 19.3057 | + | 3.14923i | 2.45183 | + | 0.399952i | ||||
\(63\) | 8.70720 | − | 13.3628i | 1.09700 | − | 1.68356i | ||||
\(64\) | −4.37062 | − | 4.79434i | −0.546328 | − | 0.599293i | ||||
\(65\) | 0.687406 | + | 0.284733i | 0.0852622 | + | 0.0353167i | ||||
\(66\) | 7.97948 | + | 23.8075i | 0.982206 | + | 2.93051i | ||||
\(67\) | 3.93164 | − | 5.20634i | 0.480327 | − | 0.636055i | −0.491745 | − | 0.870739i | \(-0.663641\pi\) |
0.972072 | + | 0.234684i | \(0.0754055\pi\) | |||||||
\(68\) | −7.46332 | − | 0.716111i | −0.905061 | − | 0.0868412i | ||||
\(69\) | 6.93329 | + | 9.18116i | 0.834670 | + | 1.10528i | ||||
\(70\) | 9.63706 | − | 14.0684i | 1.15185 | − | 1.68149i | ||||
\(71\) | −2.67890 | + | 5.08224i | −0.317926 | + | 0.603151i | −0.990600 | − | 0.136788i | \(-0.956322\pi\) |
0.672674 | + | 0.739939i | \(0.265146\pi\) | |||||||
\(72\) | 1.38840 | − | 0.395034i | 0.163625 | − | 0.0465552i | ||||
\(73\) | 5.01172 | − | 3.60597i | 0.586578 | − | 0.422047i | −0.251297 | − | 0.967910i | \(-0.580857\pi\) |
0.837874 | + | 0.545863i | \(0.183798\pi\) | |||||||
\(74\) | 0.424267 | − | 0.276452i | 0.0493201 | − | 0.0321369i | ||||
\(75\) | −0.0451224 | − | 0.108935i | −0.00521029 | − | 0.0125787i | ||||
\(76\) | −0.633229 | + | 4.53947i | −0.0726363 | + | 0.520712i | ||||
\(77\) | 7.65277 | + | 17.3319i | 0.872114 | + | 1.97515i | ||||
\(78\) | −0.947967 | − | 1.45483i | −0.107336 | − | 0.164727i | ||||
\(79\) | −1.30996 | + | 5.04386i | −0.147382 | + | 0.567479i | 0.851676 | + | 0.524069i | \(0.175587\pi\) |
−0.999057 | + | 0.0434095i | \(0.986178\pi\) | |||||||
\(80\) | 9.32998 | − | 2.42312i | 1.04312 | − | 0.270913i | ||||
\(81\) | −0.854873 | + | 4.57317i | −0.0949859 | + | 0.508130i | ||||
\(82\) | −7.97590 | − | 5.19709i | −0.880791 | − | 0.573923i | ||||
\(83\) | −14.1350 | + | 0.653503i | −1.55152 | + | 0.0717312i | −0.804857 | − | 0.593468i | \(-0.797758\pi\) |
−0.746666 | + | 0.665200i | \(0.768346\pi\) | |||||||
\(84\) | −17.6725 | + | 6.84637i | −1.92823 | + | 0.747000i | ||||
\(85\) | 5.03588 | − | 7.67372i | 0.546218 | − | 0.832332i | ||||
\(86\) | 11.3974 | + | 4.41539i | 1.22902 | + | 0.476124i | ||||
\(87\) | −14.9143 | − | 4.99877i | −1.59898 | − | 0.535924i | ||||
\(88\) | −0.507232 | + | 1.63801i | −0.0540711 | + | 0.174612i | ||||
\(89\) | 2.41724 | − | 6.23960i | 0.256226 | − | 0.661397i | −0.743749 | − | 0.668459i | \(-0.766954\pi\) |
0.999975 | + | 0.00706279i | \(0.00224817\pi\) | |||||||
\(90\) | 3.65306 | − | 17.3174i | 0.385066 | − | 1.82541i | ||||
\(91\) | −0.813527 | − | 1.02707i | −0.0852808 | − | 0.107666i | ||||
\(92\) | −0.181756 | − | 7.86685i | −0.0189494 | − | 0.820176i | ||||
\(93\) | 25.2345 | − | 8.45775i | 2.61670 | − | 0.877028i | ||||
\(94\) | 17.6231 | + | 0.814765i | 1.81768 | + | 0.0840365i | ||||
\(95\) | −4.55460 | − | 3.27707i | −0.467292 | − | 0.336220i | ||||
\(96\) | −19.3850 | − | 6.99925i | −1.97847 | − | 0.714358i | ||||
\(97\) | −6.93858 | − | 3.65739i | −0.704506 | − | 0.371351i | 0.0754809 | − | 0.997147i | \(-0.475951\pi\) |
−0.779987 | + | 0.625796i | \(0.784774\pi\) | |||||||
\(98\) | −14.6362 | + | 7.28797i | −1.47848 | + | 0.736196i | ||||
\(99\) | 14.2218 | + | 13.5795i | 1.42935 | + | 1.36479i | ||||
\(100\) | −0.0184640 | + | 0.0785041i | −0.00184640 | + | 0.00785041i | ||||
\(101\) | −12.7922 | − | 2.39127i | −1.27287 | − | 0.237940i | −0.496397 | − | 0.868095i | \(-0.665344\pi\) |
−0.776469 | + | 0.630155i | \(0.782991\pi\) | |||||||
\(102\) | −19.8167 | + | 8.13282i | −1.96215 | + | 0.805269i | ||||
\(103\) | 5.29493 | − | 0.989793i | 0.521725 | − | 0.0975272i | 0.0837014 | − | 0.996491i | \(-0.473326\pi\) |
0.438023 | + | 0.898964i | \(0.355679\pi\) | |||||||
\(104\) | 0.00547658 | − | 0.118457i | 0.000537023 | − | 0.0116156i | ||||
\(105\) | 2.67381 | − | 23.0469i | 0.260937 | − | 2.24914i | ||||
\(106\) | 5.95708 | + | 9.62102i | 0.578603 | + | 0.934476i | ||||
\(107\) | 4.38293 | + | 7.45824i | 0.423714 | + | 0.721015i | 0.995015 | − | 0.0997256i | \(-0.0317965\pi\) |
−0.571301 | + | 0.820740i | \(0.693561\pi\) | |||||||
\(108\) | −3.73647 | + | 3.56771i | −0.359542 | + | 0.343303i | ||||
\(109\) | −3.53800 | + | 9.79877i | −0.338879 | + | 0.938552i | 0.645697 | + | 0.763594i | \(0.276567\pi\) |
−0.984576 | + | 0.174958i | \(0.944021\pi\) | |||||||
\(110\) | 14.8663 | + | 14.8663i | 1.41744 | + | 1.41744i | ||||
\(111\) | 0.335261 | − | 0.601908i | 0.0318215 | − | 0.0571306i | ||||
\(112\) | −16.4297 | − | 4.26700i | −1.55246 | − | 0.403194i | ||||
\(113\) | 4.42772 | − | 9.43200i | 0.416525 | − | 0.887288i | −0.580790 | − | 0.814054i | \(-0.697256\pi\) |
0.997315 | − | 0.0732345i | \(-0.0233322\pi\) | |||||||
\(114\) | 4.44711 | + | 12.3166i | 0.416510 | + | 1.15355i | ||||
\(115\) | 8.62327 | + | 4.29388i | 0.804124 | + | 0.400406i | ||||
\(116\) | 6.28342 | + | 8.73295i | 0.583401 | + | 0.810834i | ||||
\(117\) | −1.18799 | − | 0.661708i | −0.109830 | − | 0.0611750i | ||||
\(118\) | 15.1159 | + | 13.7799i | 1.39153 | + | 1.26855i | ||||
\(119\) | −14.3228 | + | 7.49013i | −1.31297 | + | 0.686619i | ||||
\(120\) | 1.55182 | − | 1.41467i | 0.141661 | − | 0.129141i | ||||
\(121\) | −12.0304 | + | 2.82952i | −1.09367 | + | 0.257229i | ||||
\(122\) | −1.63944 | − | 23.6193i | −0.148428 | − | 2.13840i | ||||
\(123\) | −12.8970 | − | 1.19509i | −1.16289 | − | 0.107757i | ||||
\(124\) | −17.3884 | − | 5.38458i | −1.56153 | − | 0.483549i | ||||
\(125\) | −8.47113 | − | 7.37148i | −0.757681 | − | 0.659325i | ||||
\(126\) | −20.4590 | + | 23.5110i | −1.82263 | + | 2.09452i | ||||
\(127\) | −0.941180 | + | 2.80810i | −0.0835162 | + | 0.249179i | −0.981698 | − | 0.190447i | \(-0.939006\pi\) |
0.898181 | + | 0.439625i | \(0.144889\pi\) | |||||||
\(128\) | −1.59744 | − | 2.33198i | −0.141195 | − | 0.206120i | ||||
\(129\) | 16.5193 | − | 1.91651i | 1.45444 | − | 0.168739i | ||||
\(130\) | −1.25350 | − | 0.736633i | −0.109939 | − | 0.0646070i | ||||
\(131\) | 2.64057 | − | 6.37490i | 0.230708 | − | 0.556978i | −0.765553 | − | 0.643373i | \(-0.777535\pi\) |
0.996261 | + | 0.0863947i | \(0.0275346\pi\) | |||||||
\(132\) | −4.29352 | − | 22.9683i | −0.373703 | − | 1.99914i | ||||
\(133\) | 4.19876 | + | 8.94426i | 0.364079 | + | 0.775566i | ||||
\(134\) | −9.01462 | + | 9.01462i | −0.778745 | + | 0.778745i | ||||
\(135\) | −1.73078 | − | 6.08305i | −0.148961 | − | 0.523545i | ||||
\(136\) | −1.42290 | − | 0.339558i | −0.122012 | − | 0.0291169i | ||||
\(137\) | −6.11045 | + | 21.4760i | −0.522051 | + | 1.83482i | 0.0278821 | + | 0.999611i | \(0.491124\pi\) |
−0.549933 | + | 0.835209i | \(0.685347\pi\) | |||||||
\(138\) | −10.9397 | − | 19.6405i | −0.931247 | − | 1.67191i | ||||
\(139\) | 2.16282 | + | 8.32774i | 0.183448 | + | 0.706350i | 0.992878 | + | 0.119133i | \(0.0380116\pi\) |
−0.809430 | + | 0.587217i | \(0.800224\pi\) | |||||||
\(140\) | −10.6908 | + | 11.7272i | −0.903538 | + | 0.991133i | ||||
\(141\) | 21.7282 | − | 10.2000i | 1.82984 | − | 0.858994i | ||||
\(142\) | 6.55663 | − | 9.11266i | 0.550220 | − | 0.764718i | ||||
\(143\) | 1.42900 | − | 0.753239i | 0.119499 | − | 0.0629890i | ||||
\(144\) | −17.4487 | + | 2.43399i | −1.45406 | + | 0.202832i | ||||
\(145\) | −13.0443 | + | 1.81960i | −1.08327 | + | 0.151110i | ||||
\(146\) | −10.6729 | + | 5.62578i | −0.883296 | + | 0.465593i | ||||
\(147\) | −12.9925 | + | 18.0575i | −1.07161 | + | 1.48936i | ||||
\(148\) | −0.426572 | + | 0.200248i | −0.0350640 | + | 0.0164603i | ||||
\(149\) | 2.02808 | − | 2.22470i | 0.166147 | − | 0.182254i | −0.650295 | − | 0.759681i | \(-0.725355\pi\) |
0.816442 | + | 0.577427i | \(0.195943\pi\) | |||||||
\(150\) | 0.0579182 | + | 0.223008i | 0.00472900 | + | 0.0182086i | ||||
\(151\) | 1.84907 | + | 3.31971i | 0.150475 | + | 0.270154i | 0.938354 | − | 0.345676i | \(-0.112350\pi\) |
−0.787879 | + | 0.615830i | \(0.788821\pi\) | |||||||
\(152\) | −0.244728 | + | 0.860129i | −0.0198501 | + | 0.0697657i | ||||
\(153\) | −10.7588 | + | 12.8707i | −0.869795 | + | 1.04054i | ||||
\(154\) | −10.1317 | − | 35.6091i | −0.816433 | − | 2.86946i | ||||
\(155\) | 15.7573 | − | 15.7573i | 1.26566 | − | 1.26566i | ||||
\(156\) | 0.686660 | + | 1.46273i | 0.0549768 | + | 0.117112i | ||||
\(157\) | 4.34509 | + | 23.2442i | 0.346776 | + | 1.85509i | 0.498807 | + | 0.866713i | \(0.333772\pi\) |
−0.152031 | + | 0.988376i | \(0.548581\pi\) | |||||||
\(158\) | 3.89690 | − | 9.40795i | 0.310021 | − | 0.748457i | ||||
\(159\) | 13.2739 | + | 7.80056i | 1.05269 | + | 0.618625i | ||||
\(160\) | −17.1418 | + | 1.98872i | −1.35518 | + | 0.157222i | ||||
\(161\) | −9.58674 | − | 13.9949i | −0.755541 | − | 1.10295i | ||||
\(162\) | 2.88908 | − | 8.61985i | 0.226988 | − | 0.677240i | ||||
\(163\) | −2.61430 | + | 3.00429i | −0.204768 | + | 0.235314i | −0.847525 | − | 0.530756i | \(-0.821908\pi\) |
0.642757 | + | 0.766070i | \(0.277791\pi\) | |||||||
\(164\) | 6.68289 | + | 5.81537i | 0.521846 | + | 0.454104i | ||||
\(165\) | 27.3248 | + | 8.46150i | 2.12723 | + | 0.658727i | ||||
\(166\) | 27.5326 | + | 2.55127i | 2.13694 | + | 0.198017i | ||||
\(167\) | −0.703042 | − | 10.1287i | −0.0544030 | − | 0.783781i | −0.944604 | − | 0.328213i | \(-0.893554\pi\) |
0.890201 | − | 0.455568i | \(-0.150564\pi\) | |||||||
\(168\) | −3.59955 | + | 0.846607i | −0.277711 | + | 0.0653171i | ||||
\(169\) | 9.52456 | − | 8.68278i | 0.732659 | − | 0.667906i | ||||
\(170\) | −11.8178 | + | 13.4917i | −0.906386 | + | 1.03477i | ||||
\(171\) | 7.57853 | + | 6.90874i | 0.579544 | + | 0.528324i | ||||
\(172\) | −9.93689 | − | 5.53481i | −0.757681 | − | 0.422025i | ||||
\(173\) | 13.6719 | + | 19.0017i | 1.03945 | + | 1.44467i | 0.890032 | + | 0.455897i | \(0.150682\pi\) |
0.149419 | + | 0.988774i | \(0.452260\pi\) | |||||||
\(174\) | 27.5148 | + | 13.7007i | 2.08589 | + | 1.03865i | ||||
\(175\) | 0.0590421 | + | 0.163521i | 0.00446316 | + | 0.0123611i | ||||
\(176\) | 8.89322 | − | 18.9445i | 0.670351 | − | 1.42799i | ||||
\(177\) | 26.9360 | + | 6.99563i | 2.02463 | + | 0.525824i | ||||
\(178\) | −6.36268 | + | 11.4232i | −0.476903 | + | 0.856204i | ||||
\(179\) | −6.47381 | − | 6.47381i | −0.483876 | − | 0.483876i | 0.422491 | − | 0.906367i | \(-0.361156\pi\) |
−0.906367 | + | 0.422491i | \(0.861156\pi\) | |||||||
\(180\) | −5.59330 | + | 15.4911i | −0.416900 | + | 1.15464i | ||||
\(181\) | 19.0453 | − | 18.1851i | 1.41563 | − | 1.35169i | 0.565892 | − | 0.824479i | \(-0.308532\pi\) |
0.849734 | − | 0.527211i | \(-0.176762\pi\) | |||||||
\(182\) | 1.29718 | + | 2.20735i | 0.0961532 | + | 0.163620i | ||||
\(183\) | −16.9581 | − | 27.3883i | −1.25358 | − | 2.02460i | ||||
\(184\) | 0.176933 | − | 1.52508i | 0.0130437 | − | 0.112430i | ||||
\(185\) | 0.0266426 | − | 0.576271i | 0.00195881 | − | 0.0423683i | ||||
\(186\) | −51.1207 | + | 9.55612i | −3.74835 | + | 0.700689i | ||||
\(187\) | −5.83256 | − | 19.0546i | −0.426519 | − | 1.39341i | ||||
\(188\) | −16.1377 | − | 3.01666i | −1.17696 | − | 0.220013i | ||||
\(189\) | −2.54985 | + | 10.8413i | −0.185474 | + | 0.788588i | ||||
\(190\) | 7.93001 | + | 7.57186i | 0.575304 | + | 0.549320i | ||||
\(191\) | −5.76603 | + | 2.87114i | −0.417215 | + | 0.207748i | −0.642074 | − | 0.766643i | \(-0.721926\pi\) |
0.224858 | + | 0.974391i | \(0.427808\pi\) | |||||||
\(192\) | 15.2583 | + | 8.04280i | 1.10117 | + | 0.580439i | ||||
\(193\) | 4.10819 | + | 1.48333i | 0.295714 | + | 0.106772i | 0.483242 | − | 0.875487i | \(-0.339459\pi\) |
−0.187528 | + | 0.982259i | \(0.560047\pi\) | |||||||
\(194\) | 12.4412 | + | 8.95150i | 0.893223 | + | 0.642680i | ||||
\(195\) | −1.97606 | − | 0.0913588i | −0.141509 | − | 0.00654234i | ||||
\(196\) | 14.4266 | − | 4.83530i | 1.03047 | − | 0.345379i | ||||
\(197\) | −0.156499 | − | 6.77368i | −0.0111501 | − | 0.482604i | −0.975750 | − | 0.218887i | \(-0.929757\pi\) |
0.964600 | − | 0.263717i | \(-0.0849486\pi\) | |||||||
\(198\) | −23.8581 | − | 30.1205i | −1.69552 | − | 2.14057i | ||||
\(199\) | 1.02101 | − | 4.84011i | 0.0723773 | − | 0.343106i | −0.927122 | − | 0.374761i | \(-0.877725\pi\) |
0.999499 | + | 0.0316549i | \(0.0100778\pi\) | |||||||
\(200\) | −0.00568407 | + | 0.0146723i | −0.000401925 | + | 0.00103749i | ||||
\(201\) | −5.13090 | + | 16.5692i | −0.361906 | + | 1.16870i | ||||
\(202\) | 24.1116 | + | 8.08140i | 1.69649 | + | 0.568606i | ||||
\(203\) | 21.6266 | + | 8.37820i | 1.51789 | + | 0.588035i | ||||
\(204\) | 19.3099 | − | 4.94793i | 1.35196 | − | 0.346424i | ||||
\(205\) | −10.1127 | + | 3.91768i | −0.706301 | + | 0.273623i | ||||
\(206\) | −10.5147 | + | 0.486124i | −0.732595 | + | 0.0338699i | ||||
\(207\) | −14.7509 | − | 9.61168i | −1.02526 | − | 0.668058i | ||||
\(208\) | −0.265937 | + | 1.42263i | −0.0184394 | + | 0.0986420i | ||||
\(209\) | −11.7908 | + | 3.06221i | −0.815584 | + | 0.211818i | ||||
\(210\) | −11.3967 | + | 43.8817i | −0.786444 | + | 3.02813i | ||||
\(211\) | −1.72821 | − | 2.65226i | −0.118975 | − | 0.182589i | 0.773354 | − | 0.633974i | \(-0.218577\pi\) |
−0.892330 | + | 0.451385i | \(0.850930\pi\) | |||||||
\(212\) | −4.25346 | − | 9.63318i | −0.292129 | − | 0.661609i | ||||
\(213\) | 2.11024 | − | 15.1278i | 0.144591 | − | 1.03654i | ||||
\(214\) | −6.46898 | − | 15.6175i | −0.442210 | − | 1.06759i | ||||
\(215\) | 11.6664 | − | 7.60180i | 0.795640 | − | 0.518438i | ||||
\(216\) | −0.818198 | + | 0.588699i | −0.0556713 | + | 0.0400559i | ||||
\(217\) | −37.7434 | + | 10.7389i | −2.56219 | + | 0.729006i | ||||
\(218\) | 9.49261 | − | 18.0088i | 0.642921 | − | 1.21971i | ||||
\(219\) | −9.27680 | + | 13.5425i | −0.626868 | + | 0.915114i | ||||
\(220\) | −11.7903 | − | 15.6129i | −0.794904 | − | 1.05262i | ||||
\(221\) | 0.721640 | + | 1.17402i | 0.0485428 | + | 0.0789730i | ||||
\(222\) | −0.811341 | + | 1.07439i | −0.0544536 | + | 0.0721083i | ||||
\(223\) | −1.10813 | − | 3.30622i | −0.0742062 | − | 0.221401i | 0.904573 | − | 0.426319i | \(-0.140190\pi\) |
−0.978779 | + | 0.204917i | \(0.934307\pi\) | |||||||
\(224\) | 28.0752 | + | 11.6291i | 1.87585 | + | 0.777003i | ||||
\(225\) | 0.121561 | + | 0.133346i | 0.00810405 | + | 0.00888972i | ||||
\(226\) | −11.1155 | + | 17.0588i | −0.739393 | + | 1.13474i | ||||
\(227\) | 13.8159 | + | 2.25370i | 0.916994 | + | 0.149584i | 0.601066 | − | 0.799199i | \(-0.294743\pi\) |
0.315928 | + | 0.948783i | \(0.397684\pi\) | |||||||
\(228\) | −2.51522 | − | 11.9234i | −0.166575 | − | 0.789649i | ||||
\(229\) | −9.06669 | + | 10.9186i | −0.599144 | + | 0.721522i | −0.979076 | − | 0.203493i | \(-0.934771\pi\) |
0.379933 | + | 0.925014i | \(0.375947\pi\) | |||||||
\(230\) | −15.5298 | − | 10.6381i | −1.02400 | − | 0.701458i | ||||
\(231\) | −34.7861 | − | 36.4315i | −2.28876 | − | 2.39702i | ||||
\(232\) | 0.978795 | + | 1.85691i | 0.0642610 | + | 0.121912i | ||||
\(233\) | −5.28301 | − | 0.612914i | −0.346101 | − | 0.0401533i | −0.0595698 | − | 0.998224i | \(-0.518973\pi\) |
−0.286531 | + | 0.958071i | \(0.592502\pi\) | |||||||
\(234\) | 2.12054 | + | 1.60135i | 0.138624 | + | 0.104684i | ||||
\(235\) | 12.4790 | − | 15.7545i | 0.814040 | − | 1.02771i | ||||
\(236\) | −12.1600 | − | 14.6438i | −0.791552 | − | 0.953229i | ||||
\(237\) | −1.27837 | − | 13.7958i | −0.0830390 | − | 0.896133i | ||||
\(238\) | 29.7416 | − | 10.6293i | 1.92786 | − | 0.688993i | ||||
\(239\) | 0.245645 | − | 2.65093i | 0.0158895 | − | 0.171475i | −0.984091 | − | 0.177663i | \(-0.943146\pi\) |
0.999981 | + | 0.00618840i | \(0.00196984\pi\) | |||||||
\(240\) | −21.1433 | + | 14.4835i | −1.36480 | + | 0.934907i | ||||
\(241\) | −1.27969 | − | 0.269947i | −0.0824319 | − | 0.0173888i | 0.165006 | − | 0.986293i | \(-0.447236\pi\) |
−0.247438 | + | 0.968904i | \(0.579589\pi\) | |||||||
\(242\) | 24.0468 | − | 2.22826i | 1.54578 | − | 0.143238i | ||||
\(243\) | −3.36357 | − | 20.6197i | −0.215773 | − | 1.32276i | ||||
\(244\) | −1.52564 | + | 21.9798i | −0.0976689 | + | 1.40711i | ||||
\(245\) | −2.99881 | + | 18.3836i | −0.191587 | + | 1.17449i | ||||
\(246\) | 24.6376 | + | 5.79470i | 1.57083 | + | 0.369457i | ||||
\(247\) | 0.735975 | − | 0.409935i | 0.0468290 | − | 0.0260836i | ||||
\(248\) | −3.21496 | − | 1.50922i | −0.204150 | − | 0.0958356i | ||||
\(249\) | 34.7570 | − | 14.3968i | 2.20264 | − | 0.912362i | ||||
\(250\) | 14.4045 | + | 16.5533i | 0.911019 | + | 1.04692i | ||||
\(251\) | − | 4.95819i | − | 0.312958i | −0.987681 | − | 0.156479i | \(-0.949986\pi\) | ||
0.987681 | − | 0.156479i | \(-0.0500144\pi\) | |||||||
\(252\) | 21.8789 | − | 19.0388i | 1.37824 | − | 1.19933i | ||||
\(253\) | 19.1323 | − | 8.44772i | 1.20283 | − | 0.531103i | ||||
\(254\) | 2.57961 | − | 5.18055i | 0.161859 | − | 0.325056i | ||||
\(255\) | −5.66442 | + | 23.7364i | −0.354720 | + | 1.48643i | ||||
\(256\) | 8.24552 | + | 16.5592i | 0.515345 | + | 1.03495i | ||||
\(257\) | 18.2082 | + | 15.1199i | 1.13580 | + | 0.943153i | 0.998875 | − | 0.0474293i | \(-0.0151029\pi\) |
0.136921 | + | 0.990582i | \(0.456279\pi\) | |||||||
\(258\) | −32.4879 | − | 0.750603i | −2.02261 | − | 0.0467305i | ||||
\(259\) | −0.534787 | + | 0.863711i | −0.0332301 | + | 0.0536684i | ||||
\(260\) | 1.06059 | + | 0.840082i | 0.0657750 | + | 0.0520997i | ||||
\(261\) | 24.0648 | − | 0.555994i | 1.48957 | − | 0.0344152i | ||||
\(262\) | −6.83144 | + | 11.6248i | −0.422048 | + | 0.718180i | ||||
\(263\) | −0.318380 | − | 1.35367i | −0.0196322 | − | 0.0834709i | 0.962727 | − | 0.270475i | \(-0.0871809\pi\) |
−0.982359 | + | 0.187005i | \(0.940122\pi\) | |||||||
\(264\) | −0.210548 | − | 4.55409i | −0.0129584 | − | 0.280285i | ||||
\(265\) | 12.8604 | + | 0.892655i | 0.790009 | + | 0.0548353i | ||||
\(266\) | −5.71137 | − | 18.4437i | −0.350186 | − | 1.13086i | ||||
\(267\) | −0.410922 | + | 17.7857i | −0.0251480 | + | 1.08847i | ||||
\(268\) | 9.46738 | − | 7.14944i | 0.578312 | − | 0.436721i | ||||
\(269\) | −13.3738 | + | 7.85928i | −0.815414 | + | 0.479189i | −0.854129 | − | 0.520062i | \(-0.825909\pi\) |
0.0387146 | + | 0.999250i | \(0.487674\pi\) | |||||||
\(270\) | 1.70741 | + | 12.2400i | 0.103910 | + | 0.744905i | ||||
\(271\) | 20.0741 | − | 12.4294i | 1.21941 | − | 0.755029i | 0.242810 | − | 0.970074i | \(-0.421931\pi\) |
0.976604 | + | 0.215044i | \(0.0689897\pi\) | |||||||
\(272\) | 16.6270 | + | 6.50372i | 1.00816 | + | 0.394346i | ||||
\(273\) | 2.96171 | + | 1.83381i | 0.179251 | + | 0.110987i | ||||
\(274\) | 17.6237 | − | 39.9138i | 1.06469 | − | 2.41128i | ||||
\(275\) | −0.211547 | + | 0.0345084i | −0.0127568 | + | 0.00208094i | ||||
\(276\) | 7.55755 | + | 19.5083i | 0.454911 | + | 1.17426i | ||||
\(277\) | 2.24885 | − | 0.156095i | 0.135120 | − | 0.00937882i | −0.00152535 | − | 0.999999i | \(-0.500486\pi\) |
0.136645 | + | 0.990620i | \(0.456368\pi\) | |||||||
\(278\) | −1.93758 | − | 16.7009i | −0.116208 | − | 1.00166i | ||||
\(279\) | −31.9258 | + | 25.2881i | −1.91135 | + | 1.51396i | ||||
\(280\) | −2.38199 | + | 1.97798i | −0.142351 | + | 0.118207i | ||||
\(281\) | 23.4862 | + | 10.3702i | 1.40107 | + | 0.618633i | 0.960295 | − | 0.278985i | \(-0.0899979\pi\) |
0.440775 | + | 0.897618i | \(0.354704\pi\) | |||||||
\(282\) | −44.8052 | + | 13.8746i | −2.66811 | + | 0.826218i | ||||
\(283\) | −19.5294 | + | 4.11969i | −1.16090 | + | 0.244890i | −0.746616 | − | 0.665256i | \(-0.768323\pi\) |
−0.414289 | + | 0.910146i | \(0.635970\pi\) | |||||||
\(284\) | −7.21455 | + | 7.55581i | −0.428105 | + | 0.448355i | ||||
\(285\) | 14.3484 | + | 4.08248i | 0.849928 | + | 0.241825i | ||||
\(286\) | −2.96896 | + | 1.07199i | −0.175558 | + | 0.0633881i | ||||
\(287\) | 18.9145 | + | 2.63846i | 1.11649 | + | 0.155743i | ||||
\(288\) | 31.5393 | 1.85847 | ||||||||
\(289\) | 15.8917 | − | 6.03768i | 0.934806 | − | 0.355158i | ||||
\(290\) | 25.7364 | 1.51129 | ||||||||
\(291\) | 20.6534 | + | 2.88102i | 1.21072 | + | 0.168888i | ||||
\(292\) | 10.5601 | − | 3.81288i | 0.617981 | − | 0.223132i | ||||
\(293\) | −8.04031 | − | 2.28767i | −0.469720 | − | 0.133647i | 0.0305191 | − | 0.999534i | \(-0.490284\pi\) |
−0.500239 | + | 0.865887i | \(0.666755\pi\) | |||||||
\(294\) | 30.0200 | − | 31.4399i | 1.75080 | − | 1.83361i | ||||
\(295\) | 22.8001 | − | 4.80963i | 1.32747 | − | 0.280027i | ||||
\(296\) | −0.0878278 | + | 0.0271971i | −0.00510489 | + | 0.00158080i | ||||
\(297\) | −12.5609 | − | 5.54619i | −0.728858 | − | 0.321822i | ||||
\(298\) | −4.52563 | + | 3.75804i | −0.262163 | + | 0.217697i | ||||
\(299\) | −1.13375 | + | 0.898034i | −0.0655667 | + | 0.0519346i | ||||
\(300\) | −0.0247096 | − | 0.212984i | −0.00142661 | − | 0.0122966i | ||||
\(301\) | −24.4615 | + | 1.69790i | −1.40994 | + | 0.0978653i | ||||
\(302\) | −2.68236 | − | 6.92397i | −0.154352 | − | 0.398430i | ||||
\(303\) | 34.1480 | − | 5.57036i | 1.96175 | − | 0.320009i | ||||
\(304\) | 4.40852 | − | 9.98434i | 0.252846 | − | 0.572641i | ||||
\(305\) | −22.9324 | − | 14.1991i | −1.31310 | − | 0.813040i | ||||
\(306\) | 24.2966 | − | 22.0048i | 1.38894 | − | 1.25793i | ||||
\(307\) | −10.1680 | + | 6.29575i | −0.580318 | + | 0.359318i | −0.784986 | − | 0.619514i | \(-0.787330\pi\) |
0.204668 | + | 0.978831i | \(0.434389\pi\) | |||||||
\(308\) | 4.75982 | + | 34.1220i | 0.271216 | + | 1.94428i | ||||
\(309\) | −12.3472 | + | 7.25597i | −0.702406 | + | 0.412778i | ||||
\(310\) | −34.7498 | + | 26.2418i | −1.97365 | + | 1.49043i | ||||
\(311\) | −0.203205 | + | 8.79523i | −0.0115227 | + | 0.498731i | 0.962373 | + | 0.271734i | \(0.0875969\pi\) |
−0.973895 | + | 0.226998i | \(0.927109\pi\) | |||||||
\(312\) | 0.0932602 | + | 0.301165i | 0.00527982 | + | 0.0170501i | ||||
\(313\) | −15.3232 | − | 1.06360i | −0.866116 | − | 0.0601180i | −0.370678 | − | 0.928761i | \(-0.620875\pi\) |
−0.495438 | + | 0.868643i | \(0.664992\pi\) | |||||||
\(314\) | −2.13404 | − | 46.1585i | −0.120431 | − | 2.60488i | ||||
\(315\) | 8.12893 | + | 34.5621i | 0.458014 | + | 1.94735i | ||||
\(316\) | −4.80116 | + | 8.16992i | −0.270086 | + | 0.459594i | ||||
\(317\) | 25.6214 | − | 0.591957i | 1.43904 | − | 0.0332476i | 0.703483 | − | 0.710712i | \(-0.251627\pi\) |
0.735556 | + | 0.677464i | \(0.236921\pi\) | |||||||
\(318\) | −23.5836 | − | 18.6803i | −1.32250 | − | 1.04754i | ||||
\(319\) | −15.0529 | + | 24.3113i | −0.842802 | + | 1.36117i | ||||
\(320\) | 14.4382 | + | 0.333582i | 0.807122 | + | 0.0186478i | ||||
\(321\) | −17.6943 | − | 14.6932i | −0.987602 | − | 0.820094i | ||||
\(322\) | 14.7754 | + | 29.6731i | 0.823403 | + | 1.65362i | ||||
\(323\) | −3.27050 | − | 9.86438i | −0.181975 | − | 0.548869i | ||||
\(324\) | −3.77097 | + | 7.57313i | −0.209498 | + | 0.420729i | ||||
\(325\) | 0.0135599 | − | 0.00598729i | 0.000752169 | − | 0.000332115i | ||||
\(326\) | 5.87063 | − | 5.10856i | 0.325144 | − | 0.282937i | ||||
\(327\) | − | 27.6980i | − | 1.53170i | ||||||
\(328\) | 1.13463 | + | 1.30389i | 0.0626496 | + | 0.0719955i | ||||
\(329\) | −32.6977 | + | 13.5438i | −1.80268 | + | 0.746695i | ||||
\(330\) | −50.5984 | − | 23.7527i | −2.78535 | − | 1.30755i | ||||
\(331\) | −10.4672 | + | 5.83017i | −0.575327 | + | 0.320455i | −0.747132 | − | 0.664676i | \(-0.768570\pi\) |
0.171805 | + | 0.985131i | \(0.445040\pi\) | |||||||
\(332\) | −25.0476 | − | 5.89115i | −1.37467 | − | 0.323319i | ||||
\(333\) | −0.169746 | + | 1.04059i | −0.00930200 | + | 0.0570242i | ||||
\(334\) | −1.37380 | + | 19.7923i | −0.0751710 | + | 1.08298i | ||||
\(335\) | 2.33822 | + | 14.3340i | 0.127751 | + | 0.783151i | ||||
\(336\) | 44.9379 | − | 4.16411i | 2.45156 | − | 0.227171i | ||||
\(337\) | −4.68624 | − | 0.988551i | −0.255276 | − | 0.0538498i | 0.0770036 | − | 0.997031i | \(-0.475465\pi\) |
−0.332279 | + | 0.943181i | \(0.607818\pi\) | |||||||
\(338\) | −20.7774 | + | 14.2328i | −1.13014 | + | 0.774164i | ||||
\(339\) | −2.55605 | + | 27.5841i | −0.138825 | + | 1.49816i | ||||
\(340\) | 12.6266 | − | 10.9154i | 0.684772 | − | 0.591972i | ||||
\(341\) | −4.46399 | − | 48.1741i | −0.241739 | − | 2.60877i | ||||
\(342\) | −12.8019 | − | 15.4167i | −0.692248 | − | 0.833642i | ||||
\(343\) | 3.32797 | − | 4.20152i | 0.179694 | − | 0.226861i | ||||
\(344\) | −1.77099 | − | 1.33739i | −0.0954855 | − | 0.0721073i | ||||
\(345\) | −25.4409 | − | 2.95155i | −1.36969 | − | 0.158906i | ||||
\(346\) | −21.3299 | − | 40.4657i | −1.14670 | − | 2.17545i | ||||
\(347\) | 15.4249 | + | 16.1545i | 0.828053 | + | 0.867221i | 0.992882 | − | 0.119101i | \(-0.0380013\pi\) |
−0.164829 | + | 0.986322i | \(0.552707\pi\) | |||||||
\(348\) | −23.5978 | − | 16.1649i | −1.26497 | − | 0.866527i | ||||
\(349\) | −23.4969 | + | 28.2963i | −1.25776 | + | 1.51466i | −0.493521 | + | 0.869734i | \(0.664290\pi\) |
−0.764241 | + | 0.644931i | \(0.776886\pi\) | |||||||
\(350\) | −0.0701210 | − | 0.332410i | −0.00374812 | − | 0.0177680i | ||||
\(351\) | 0.937172 | + | 0.152875i | 0.0500225 | + | 0.00815987i | ||||
\(352\) | −20.4536 | + | 31.3898i | −1.09018 | + | 1.67308i | ||||
\(353\) | −6.98864 | − | 7.66618i | −0.371968 | − | 0.408029i | 0.524306 | − | 0.851530i | \(-0.324325\pi\) |
−0.896274 | + | 0.443500i | \(0.853736\pi\) | |||||||
\(354\) | −50.2418 | − | 20.8108i | −2.67032 | − | 1.10608i | ||||
\(355\) | −4.06431 | − | 12.1263i | −0.215711 | − | 0.643595i | ||||
\(356\) | 7.33285 | − | 9.71026i | 0.388640 | − | 0.514643i | ||||
\(357\) | 29.0536 | − | 31.6625i | 1.53768 | − | 1.67575i | ||||
\(358\) | 10.7813 | + | 14.2768i | 0.569811 | + | 0.754551i | ||||
\(359\) | −16.4313 | + | 23.9868i | −0.867212 | + | 1.26597i | 0.0954952 | + | 0.995430i | \(0.469557\pi\) |
−0.962708 | + | 0.270544i | \(0.912796\pi\) | |||||||
\(360\) | −1.49841 | + | 2.84269i | −0.0789731 | + | 0.149823i | ||||
\(361\) | 12.1641 | − | 3.46100i | 0.640218 | − | 0.182158i | ||||
\(362\) | −41.7686 | + | 30.0528i | −2.19531 | + | 1.57954i | ||||
\(363\) | 27.5292 | − | 17.9380i | 1.44491 | − | 0.941500i | ||||
\(364\) | −0.911765 | − | 2.20120i | −0.0477895 | − | 0.115374i | ||||
\(365\) | −1.89889 | + | 13.6127i | −0.0993925 | + | 0.712521i | ||||
\(366\) | 25.4258 | + | 57.5839i | 1.32903 | + | 3.00996i | ||||
\(367\) | 7.11108 | + | 10.9133i | 0.371195 | + | 0.569668i | 0.973525 | − | 0.228579i | \(-0.0734080\pi\) |
−0.602330 | + | 0.798247i | \(0.705761\pi\) | |||||||
\(368\) | −4.71025 | + | 18.1363i | −0.245539 | + | 0.945422i | ||||
\(369\) | 19.1845 | − | 4.98246i | 0.998704 | − | 0.259377i | ||||
\(370\) | −0.207138 | + | 1.10809i | −0.0107686 | + | 0.0576069i | ||||
\(371\) | −19.0197 | − | 12.3932i | −0.987453 | − | 0.643423i | ||||
\(372\) | 48.3445 | − | 2.23510i | 2.50654 | − | 0.115885i | ||||
\(373\) | −6.31115 | + | 2.44495i | −0.326779 | + | 0.126595i | −0.519042 | − | 0.854749i | \(-0.673711\pi\) |
0.192263 | + | 0.981343i | \(0.438417\pi\) | |||||||
\(374\) | 6.14386 | + | 38.4518i | 0.317691 | + | 1.98830i | ||||
\(375\) | 27.8393 | + | 10.7850i | 1.43761 | + | 0.556934i | ||||
\(376\) | −3.03711 | − | 1.01794i | −0.156627 | − | 0.0524961i | ||||
\(377\) | 0.584937 | − | 1.88894i | 0.0301258 | − | 0.0972854i | ||||
\(378\) | 7.86164 | − | 20.2932i | 0.404359 | − | 1.04377i | ||||
\(379\) | −2.22070 | + | 10.5273i | −0.114070 | + | 0.540750i | 0.883334 | + | 0.468744i | \(0.155293\pi\) |
−0.997404 | + | 0.0720064i | \(0.977060\pi\) | |||||||
\(380\) | −6.33528 | − | 7.99820i | −0.324993 | − | 0.410299i | ||||
\(381\) | −0.181873 | − | 7.87192i | −0.00931766 | − | 0.403291i | ||||
\(382\) | 11.9344 | − | 3.99999i | 0.610615 | − | 0.204658i | ||||
\(383\) | −6.12306 | − | 0.283086i | −0.312874 | − | 0.0144650i | −0.110823 | − | 0.993840i | \(-0.535349\pi\) |
−0.202051 | + | 0.979375i | \(0.564761\pi\) | |||||||
\(384\) | 6.10024 | + | 4.38917i | 0.311301 | + | 0.223984i | ||||
\(385\) | −39.6700 | − | 14.3235i | −2.02177 | − | 0.729993i | ||||
\(386\) | −7.55031 | − | 3.97983i | −0.384300 | − | 0.202568i | ||||
\(387\) | −22.7811 | + | 11.3436i | −1.15803 | + | 0.576629i | ||||
\(388\) | −10.3156 | − | 9.84974i | −0.523697 | − | 0.500045i | ||||
\(389\) | 8.07039 | − | 34.3132i | 0.409185 | − | 1.73975i | −0.232330 | − | 0.972637i | \(-0.574635\pi\) |
0.641515 | − | 0.767111i | \(-0.278306\pi\) | |||||||
\(390\) | 3.79969 | + | 0.710285i | 0.192405 | + | 0.0359667i | ||||
\(391\) | 8.26818 | + | 15.8106i | 0.418140 | + | 0.799575i | ||||
\(392\) | 2.91811 | − | 0.545489i | 0.147387 | − | 0.0275513i | ||||
\(393\) | −0.847249 | + | 18.3257i | −0.0427380 | + | 0.924410i | ||||
\(394\) | −1.52580 | + | 13.1516i | −0.0768687 | + | 0.662570i | ||||
\(395\) | −6.10703 | − | 9.86319i | −0.307278 | − | 0.496271i | ||||
\(396\) | 18.1166 | + | 30.8281i | 0.910391 | + | 1.54917i | ||||
\(397\) | −27.0203 | + | 25.7999i | −1.35611 | + | 1.29486i | −0.437756 | + | 0.899094i | \(0.644227\pi\) |
−0.918351 | + | 0.395766i | \(0.870479\pi\) | |||||||
\(398\) | −3.28268 | + | 9.09162i | −0.164546 | + | 0.455722i | ||||
\(399\) | −18.5755 | − | 18.5755i | −0.929940 | − | 0.929940i | ||||
\(400\) | 0.0934473 | − | 0.167770i | 0.00467237 | − | 0.00838850i | ||||
\(401\) | −8.18224 | − | 2.12504i | −0.408602 | − | 0.106119i | 0.0414093 | − | 0.999142i | \(-0.486815\pi\) |
−0.450011 | + | 0.893023i | \(0.648580\pi\) | |||||||
\(402\) | 14.4032 | − | 30.6820i | 0.718367 | − | 1.53028i | ||||
\(403\) | 1.13624 | + | 3.14691i | 0.0566002 | + | 0.156759i | ||||
\(404\) | −21.1837 | − | 10.5482i | −1.05393 | − | 0.524794i | ||||
\(405\) | −6.04880 | − | 8.40686i | −0.300567 | − | 0.417740i | ||||
\(406\) | −39.5931 | − | 22.0532i | −1.96497 | − | 1.09448i | ||||
\(407\) | −0.925580 | − | 0.843777i | −0.0458793 | − | 0.0418245i | ||||
\(408\) | 3.86478 | − | 0.435620i | 0.191335 | − | 0.0215664i | ||||
\(409\) | 3.94582 | − | 3.59709i | 0.195108 | − | 0.177865i | −0.570246 | − | 0.821474i | \(-0.693152\pi\) |
0.765354 | + | 0.643609i | \(0.222564\pi\) | |||||||
\(410\) | 20.6292 | − | 4.85194i | 1.01880 | − | 0.239620i | ||||
\(411\) | −4.11063 | − | 59.2216i | −0.202762 | − | 2.92118i | ||||
\(412\) | 9.75348 | + | 0.903793i | 0.480519 | + | 0.0445267i | ||||
\(413\) | −39.1972 | − | 12.1380i | −1.92877 | − | 0.597271i | ||||
\(414\) | 25.9532 | + | 22.5842i | 1.27553 | + | 1.10995i | ||||
\(415\) | 20.6781 | − | 23.7628i | 1.01505 | − | 1.16647i | ||||
\(416\) | 0.823376 | − | 2.45662i | 0.0403693 | − | 0.120446i | ||||
\(417\) | −12.9277 | − | 18.8721i | −0.633071 | − | 0.924170i | ||||
\(418\) | 23.6459 | − | 2.74330i | 1.15656 | − | 0.134179i | ||||
\(419\) | −0.170686 | − | 0.100306i | −0.00833855 | − | 0.00490026i | 0.502478 | − | 0.864590i | \(-0.332422\pi\) |
−0.510817 | + | 0.859690i | \(0.670657\pi\) | |||||||
\(420\) | 16.1455 | − | 38.9788i | 0.787821 | − | 1.90197i | ||||
\(421\) | 0.964539 | + | 5.15983i | 0.0470088 | + | 0.251475i | 0.998402 | − | 0.0565027i | \(-0.0179950\pi\) |
−0.951394 | + | 0.307977i | \(0.900348\pi\) | |||||||
\(422\) | 2.62866 | + | 5.59960i | 0.127961 | + | 0.272584i | ||||
\(423\) | −25.9735 | + | 25.9735i | −1.26288 | + | 1.26288i | ||||
\(424\) | −0.562264 | − | 1.97615i | −0.0273059 | − | 0.0959704i | ||||
\(425\) | −0.0412850 | − | 0.178135i | −0.00200262 | − | 0.00864082i | ||||
\(426\) | −8.16807 | + | 28.7078i | −0.395744 | + | 1.39090i | ||||
\(427\) | 23.1123 | + | 41.4946i | 1.11848 | + | 2.00806i | ||||
\(428\) | 3.95431 | + | 15.2257i | 0.191139 | + | 0.735962i | ||||
\(429\) | −2.89335 | + | 3.17385i | −0.139692 | + | 0.153235i | ||||
\(430\) | −24.6307 | + | 11.5625i | −1.18780 | + | 0.557594i | ||||
\(431\) | 8.79572 | − | 12.2246i | 0.423675 | − | 0.588840i | −0.544610 | − | 0.838689i | \(-0.683322\pi\) |
0.968285 | + | 0.249849i | \(0.0803811\pi\) | |||||||
\(432\) | 10.8828 | − | 5.73641i | 0.523598 | − | 0.275993i | ||||
\(433\) | −4.59652 | + | 0.641187i | −0.220895 | + | 0.0308135i | −0.247742 | − | 0.968826i | \(-0.579689\pi\) |
0.0268473 | + | 0.999640i | \(0.491453\pi\) | |||||||
\(434\) | 75.9456 | − | 10.5940i | 3.64551 | − | 0.508527i | ||||
\(435\) | 30.9765 | − | 16.3280i | 1.48521 | − | 0.782867i | ||||
\(436\) | −11.0643 | + | 15.3776i | −0.529882 | + | 0.736452i | ||||
\(437\) | 9.87337 | − | 4.63492i | 0.472307 | − | 0.221718i | ||||
\(438\) | 21.6098 | − | 23.7049i | 1.03256 | − | 1.13266i | ||||
\(439\) | 5.79035 | + | 22.2952i | 0.276358 | + | 1.06409i | 0.946720 | + | 0.322057i | \(0.104374\pi\) |
−0.670362 | + | 0.742034i | \(0.733861\pi\) | |||||||
\(440\) | −1.85749 | − | 3.33483i | −0.0885522 | − | 0.158982i | ||||
\(441\) | 9.31629 | − | 32.7434i | 0.443633 | − | 1.55921i | ||||
\(442\) | −1.07967 | − | 2.46695i | −0.0513548 | − | 0.117341i | ||||
\(443\) | 5.44891 | + | 19.1509i | 0.258885 | + | 0.909887i | 0.976871 | + | 0.213830i | \(0.0685937\pi\) |
−0.717986 | + | 0.696058i | \(0.754936\pi\) | |||||||
\(444\) | 0.885909 | − | 0.885909i | 0.0420434 | − | 0.0420434i | ||||
\(445\) | 6.32998 | + | 13.4842i | 0.300070 | + | 0.639213i | ||||
\(446\) | 1.25204 | + | 6.69784i | 0.0592859 | + | 0.317152i | ||||
\(447\) | −3.06286 | + | 7.39440i | −0.144868 | + | 0.349743i | ||||
\(448\) | −21.9261 | − | 12.8851i | −1.03591 | − | 0.608765i | ||||
\(449\) | 26.6105 | − | 3.08725i | 1.25583 | − | 0.145696i | 0.538616 | − | 0.842551i | \(-0.318947\pi\) |
0.717212 | + | 0.696855i | \(0.245418\pi\) | |||||||
\(450\) | −0.199262 | − | 0.290887i | −0.00939332 | − | 0.0137126i | ||||
\(451\) | −7.48250 | + | 22.3247i | −0.352337 | + | 1.05123i | ||||
\(452\) | 12.4379 | − | 14.2933i | 0.585029 | − | 0.672302i | ||||
\(453\) | −7.62129 | − | 6.63196i | −0.358080 | − | 0.311597i | ||||
\(454\) | −26.1301 | − | 8.09156i | −1.22635 | − | 0.379756i | ||||
\(455\) | 2.90429 | + | 0.269122i | 0.136155 | + | 0.0126166i | ||||
\(456\) | −0.164633 | − | 2.37186i | −0.00770967 | − | 0.111073i | ||||
\(457\) | 6.95035 | − | 1.63471i | 0.325123 | − | 0.0764683i | −0.0631737 | − | 0.998003i | \(-0.520122\pi\) |
0.388297 | + | 0.921534i | \(0.373063\pi\) | |||||||
\(458\) | 20.4948 | − | 18.6835i | 0.957661 | − | 0.873023i | ||||
\(459\) | 4.01398 | − | 11.0046i | 0.187356 | − | 0.513652i | ||||
\(460\) | 12.9454 | + | 11.8013i | 0.603584 | + | 0.550240i | ||||
\(461\) | 32.4263 | + | 18.0613i | 1.51024 | + | 0.841199i | 0.999825 | − | 0.0187281i | \(-0.00596167\pi\) |
0.510417 | + | 0.859927i | \(0.329491\pi\) | |||||||
\(462\) | 57.4877 | + | 79.8986i | 2.67457 | + | 3.71722i | ||||
\(463\) | −26.8025 | − | 13.3460i | −1.24562 | − | 0.620243i | −0.302641 | − | 0.953105i | \(-0.597868\pi\) |
−0.942976 | + | 0.332862i | \(0.891986\pi\) | |||||||
\(464\) | −8.70033 | − | 24.0962i | −0.403903 | − | 1.11864i | ||||
\(465\) | −25.1764 | + | 53.6312i | −1.16753 | + | 2.48709i | ||||
\(466\) | 10.0590 | + | 2.61244i | 0.465972 | + | 0.121019i | ||||
\(467\) | 9.06108 | − | 16.2678i | 0.419297 | − | 0.752782i | −0.578734 | − | 0.815517i | \(-0.696453\pi\) |
0.998030 | + | 0.0627349i | \(0.0199823\pi\) | |||||||
\(468\) | −1.74853 | − | 1.74853i | −0.0808259 | − | 0.0808259i | ||||
\(469\) | 8.68551 | − | 24.0552i | 0.401059 | − | 1.11076i | ||||
\(470\) | −28.4044 | + | 27.1215i | −1.31020 | + | 1.25102i | ||||
\(471\) | −31.8530 | − | 54.2028i | −1.46771 | − | 2.49753i | ||||
\(472\) | −1.95505 | − | 3.15752i | −0.0899886 | − | 0.145337i | ||||
\(473\) | 3.48392 | − | 30.0296i | 0.160191 | − | 1.38076i | ||||
\(474\) | −1.25035 | + | 27.0447i | −0.0574306 | + | 1.24220i | ||||
\(475\) | −0.109880 | + | 0.0205402i | −0.00504165 | + | 0.000942449i | ||||
\(476\) | −28.7781 | + | 5.97281i | −1.31904 | + | 0.273763i | ||||
\(477\) | −23.1597 | − | 4.32930i | −1.06041 | − | 0.198225i | ||||
\(478\) | −1.19108 | + | 5.06415i | −0.0544786 | + | 0.231629i | ||||
\(479\) | 18.5118 | + | 17.6757i | 0.845827 | + | 0.807625i | 0.983131 | − | 0.182904i | \(-0.0585497\pi\) |
−0.137304 | + | 0.990529i | \(0.543844\pi\) | |||||||
\(480\) | 41.0703 | − | 20.4506i | 1.87459 | − | 0.933436i | ||||
\(481\) | 0.0766212 | + | 0.0403877i | 0.00349363 | + | 0.00184152i | ||||
\(482\) | 2.40376 | + | 0.867915i | 0.109488 | + | 0.0395325i | ||||
\(483\) | 36.6094 | + | 26.3407i | 1.66578 | + | 1.19854i | ||||
\(484\) | −22.4494 | − | 1.03790i | −1.02043 | − | 0.0471772i | ||||
\(485\) | 16.5555 | − | 5.54884i | 0.751746 | − | 0.251960i | ||||
\(486\) | 0.942976 | + | 40.8143i | 0.0427742 | + | 1.85137i | ||||
\(487\) | 0.247580 | + | 0.312567i | 0.0112189 | + | 0.0141637i | 0.789462 | − | 0.613799i | \(-0.210360\pi\) |
−0.778243 | + | 0.627963i | \(0.783889\pi\) | |||||||
\(488\) | −0.887288 | + | 4.20620i | −0.0401657 | + | 0.190406i | ||||
\(489\) | 3.82490 | − | 9.87321i | 0.172968 | − | 0.446482i | ||||
\(490\) | 10.7667 | − | 34.7691i | 0.486392 | − | 1.57071i | ||||
\(491\) | 17.9440 | + | 6.01421i | 0.809800 | + | 0.271418i | 0.692258 | − | 0.721650i | \(-0.256616\pi\) |
0.117542 | + | 0.993068i | \(0.462498\pi\) | |||||||
\(492\) | −21.9624 | − | 8.50829i | −0.990143 | − | 0.383583i | ||||
\(493\) | −21.5423 | − | 11.4450i | −0.970215 | − | 0.515455i | ||||
\(494\) | −1.53503 | + | 0.594675i | −0.0690644 | + | 0.0267557i | ||||
\(495\) | −43.7274 | + | 2.02164i | −1.96540 | + | 0.0908659i | ||||
\(496\) | 36.3168 | + | 23.6640i | 1.63067 | + | 1.06254i | ||||
\(497\) | −4.13827 | + | 22.1378i | −0.185627 | + | 0.993016i | ||||
\(498\) | −71.1534 | + | 18.4795i | −3.18846 | + | 0.828085i | ||||
\(499\) | −0.495926 | + | 1.90951i | −0.0222007 | + | 0.0854815i | −0.978046 | − | 0.208388i | \(-0.933178\pi\) |
0.955846 | + | 0.293869i | \(0.0949431\pi\) | |||||||
\(500\) | −11.1478 | − | 17.1084i | −0.498546 | − | 0.765111i | ||||
\(501\) | 10.9033 | + | 24.6937i | 0.487125 | + | 1.10323i | ||||
\(502\) | −1.33856 | + | 9.59580i | −0.0597427 | + | 0.428282i | ||||
\(503\) | 11.2812 | + | 27.2352i | 0.503004 | + | 1.21436i | 0.947840 | + | 0.318747i | \(0.103262\pi\) |
−0.444836 | + | 0.895612i | \(0.646738\pi\) | |||||||
\(504\) | 4.74104 | − | 3.08926i | 0.211183 | − | 0.137606i | ||||
\(505\) | 23.5158 | − | 16.9198i | 1.04644 | − | 0.752922i | ||||
\(506\) | −39.3081 | + | 11.1841i | −1.74746 | + | 0.497195i | ||||
\(507\) | −15.9780 | + | 30.3126i | −0.709609 | + | 1.34623i | ||||
\(508\) | −3.04356 | + | 4.44305i | −0.135036 | + | 0.197128i | ||||
\(509\) | −14.3691 | − | 19.0278i | −0.636901 | − | 0.843394i | 0.359047 | − | 0.933319i | \(-0.383102\pi\) |
−0.995948 | + | 0.0899259i | \(0.971337\pi\) | |||||||
\(510\) | 17.3707 | − | 44.4088i | 0.769186 | − | 1.96645i | ||||
\(511\) | 14.5858 | − | 19.3148i | 0.645239 | − | 0.854435i | ||||
\(512\) | −9.69086 | − | 28.9136i | −0.428280 | − | 1.27781i | ||||
\(513\) | −6.61579 | − | 2.74035i | −0.292094 | − | 0.120989i | ||||
\(514\) | −31.1572 | − | 34.1778i | −1.37428 | − | 1.50752i | ||||
\(515\) | −6.54645 | + | 10.0467i | −0.288471 | + | 0.442712i | ||||
\(516\) | 29.8463 | + | 4.86864i | 1.31391 | + | 0.214330i | ||||
\(517\) | −9.00631 | − | 42.6946i | −0.396097 | − | 1.87771i | ||||
\(518\) | 1.26817 | − | 1.52720i | 0.0557203 | − | 0.0671014i | ||||
\(519\) | −51.3455 | − | 35.1725i | −2.25382 | − | 1.54390i | ||||
\(520\) | 0.182302 | + | 0.190925i | 0.00799446 | + | 0.00837260i | ||||
\(521\) | −1.47965 | − | 2.80710i | −0.0648246 | − | 0.122981i | 0.850077 | − | 0.526659i | \(-0.176555\pi\) |
−0.914901 | + | 0.403677i | \(0.867732\pi\) | |||||||
\(522\) | −46.7237 | − | 5.42070i | −2.04504 | − | 0.237258i | ||||
\(523\) | 6.89143 | + | 5.20416i | 0.301341 | + | 0.227562i | 0.742466 | − | 0.669883i | \(-0.233656\pi\) |
−0.441125 | + | 0.897445i | \(0.645421\pi\) | |||||||
\(524\) | 7.79080 | − | 9.83577i | 0.340343 | − | 0.429678i | ||||
\(525\) | −0.295289 | − | 0.355603i | −0.0128875 | − | 0.0155198i | ||||
\(526\) | 0.250726 | + | 2.70577i | 0.0109322 | + | 0.117977i | ||||
\(527\) | 40.7565 | − | 6.51211i | 1.77538 | − | 0.283672i | ||||
\(528\) | −5.13390 | + | 55.4036i | −0.223424 | + | 2.41113i | ||||
\(529\) | 3.52627 | − | 2.41555i | 0.153316 | − | 0.105024i | ||||
\(530\) | −24.6483 | − | 5.19951i | −1.07066 | − | 0.225852i | ||||
\(531\) | −42.4060 | + | 3.92950i | −1.84026 | + | 0.170526i | ||||
\(532\) | 2.89270 | + | 17.7331i | 0.125414 | + | 0.768829i | ||||
\(533\) | 0.112749 | − | 1.62437i | 0.00488370 | − | 0.0703592i | ||||
\(534\) | 5.59686 | − | 34.3105i | 0.242200 | − | 1.48476i | ||||
\(535\) | −18.7461 | − | 4.40905i | −0.810467 | − | 0.190620i | ||||
\(536\) | 2.02218 | − | 1.12635i | 0.0873447 | − | 0.0486507i | ||||
\(537\) | 22.0341 | + | 10.3436i | 0.950842 | + | 0.446360i | ||||
\(538\) | 28.0046 | − | 11.5999i | 1.20736 | − | 0.500107i | ||||
\(539\) | 26.5465 | + | 30.5066i | 1.14344 | + | 1.31401i | ||||
\(540\) | − | 11.5007i | − | 0.494909i | ||||||
\(541\) | −9.62217 | + | 8.37310i | −0.413690 | + | 0.359988i | −0.838132 | − | 0.545467i | \(-0.816352\pi\) |
0.424443 | + | 0.905455i | \(0.360470\pi\) | |||||||
\(542\) | −42.2058 | + | 18.6357i | −1.81289 | + | 0.800471i | ||||
\(543\) | −31.2065 | + | 62.6711i | −1.33920 | + | 2.68948i | ||||
\(544\) | −27.8718 | − | 15.6437i | −1.19500 | − | 0.670719i | ||||
\(545\) | −10.3374 | − | 20.7603i | −0.442806 | − | 0.889274i | ||||
\(546\) | −5.23684 | − | 4.34862i | −0.224116 | − | 0.186104i | ||||
\(547\) | 8.68030 | + | 0.200550i | 0.371143 | + | 0.00857490i | 0.208268 | − | 0.978072i | \(-0.433217\pi\) |
0.162875 | + | 0.986647i | \(0.447923\pi\) | |||||||
\(548\) | −21.3746 | + | 34.5211i | −0.913077 | + | 1.47467i | ||||
\(549\) | 38.6424 | + | 30.6082i | 1.64922 | + | 1.30633i | ||||
\(550\) | 0.418733 | − | 0.00967442i | 0.0178548 | − | 0.000412519i | ||||
\(551\) | −7.55540 | + | 12.8567i | −0.321871 | + | 0.547714i | ||||
\(552\) | 0.934550 | + | 3.97346i | 0.0397771 | + | 0.169122i | ||||
\(553\) | 0.943457 | + | 20.4067i | 0.0401199 | + | 0.867779i | ||||
\(554\) | −4.39443 | − | 0.305022i | −0.186701 | − | 0.0129591i | ||||
\(555\) | 0.453695 | + | 1.46512i | 0.0192583 | + | 0.0621909i | ||||
\(556\) | −0.361386 | + | 15.6417i | −0.0153262 | + | 0.663355i | ||||
\(557\) | 1.54830 | − | 1.16922i | 0.0656035 | − | 0.0495415i | −0.569324 | − | 0.822114i | \(-0.692795\pi\) |
0.634927 | + | 0.772572i | \(0.281030\pi\) | |||||||
\(558\) | 68.6144 | − | 40.3221i | 2.90468 | − | 1.70697i | ||||
\(559\) | 0.288833 | + | 2.07058i | 0.0122163 | + | 0.0875761i | ||||
\(560\) | 32.1280 | − | 19.8928i | 1.35765 | − | 0.840624i | ||||
\(561\) | 31.7898 | + | 42.3830i | 1.34217 | + | 1.78941i | ||||
\(562\) | −42.6543 | − | 26.4104i | −1.79926 | − | 1.11406i | ||||
\(563\) | 14.0679 | − | 31.8608i | 0.592892 | − | 1.34277i | −0.324915 | − | 0.945743i | \(-0.605336\pi\) |
0.917806 | − | 0.397028i | \(-0.129958\pi\) | |||||||
\(564\) | 43.0789 | − | 7.02719i | 1.81395 | − | 0.295898i | ||||
\(565\) | 8.37911 | + | 21.6290i | 0.352512 | + | 0.909938i | ||||
\(566\) | 38.9083 | − | 2.70067i | 1.63544 | − | 0.113517i | ||||
\(567\) | 2.10179 | + | 18.1163i | 0.0882668 | + | 0.760815i | ||||
\(568\) | −1.59780 | + | 1.26560i | −0.0670421 | + | 0.0531033i | ||||
\(569\) | 26.0696 | − | 21.6479i | 1.09290 | − | 0.907529i | 0.0967553 | − | 0.995308i | \(-0.469154\pi\) |
0.996140 | + | 0.0877795i | \(0.0279771\pi\) | |||||||
\(570\) | −26.6670 | − | 11.7746i | −1.11696 | − | 0.493185i | ||||
\(571\) | 27.3201 | − | 8.46006i | 1.14331 | − | 0.354042i | 0.334664 | − | 0.942337i | \(-0.391377\pi\) |
0.808647 | + | 0.588295i | \(0.200201\pi\) | |||||||
\(572\) | 2.87419 | − | 0.606302i | 0.120176 | − | 0.0253508i | ||||
\(573\) | 11.8266 | − | 12.3860i | 0.494061 | − | 0.517431i | ||||
\(574\) | −35.8937 | − | 10.2126i | −1.49817 | − | 0.426267i | ||||
\(575\) | 0.180508 | − | 0.0651752i | 0.00752769 | − | 0.00271799i | ||||
\(576\) | −26.1419 | − | 3.64665i | −1.08925 | − | 0.151944i | ||||
\(577\) | 24.0882 | 1.00281 | 0.501403 | − | 0.865214i | \(-0.332817\pi\) | ||||
0.501403 | + | 0.865214i | \(0.332817\pi\) | |||||||
\(578\) | −32.3859 | + | 7.39472i | −1.34708 | + | 0.307580i | ||||
\(579\) | −11.6125 | −0.482600 | ||||||||
\(580\) | −23.7202 | − | 3.30882i | −0.984927 | − | 0.137391i | ||||
\(581\) | −52.1734 | + | 18.8381i | −2.16452 | + | 0.781534i | ||||
\(582\) | −39.1936 | − | 11.1515i | −1.62463 | − | 0.462246i | ||||
\(583\) | 19.3281 | − | 20.2424i | 0.800489 | − | 0.838353i | ||||
\(584\) | 2.14338 | − | 0.452142i | 0.0886939 | − | 0.0187098i | ||||
\(585\) | 2.89173 | − | 0.895464i | 0.119558 | − | 0.0370229i | ||||
\(586\) | 14.9432 | + | 6.59805i | 0.617296 | + | 0.272563i | ||||
\(587\) | −33.3933 | + | 27.7295i | −1.37829 | + | 1.14452i | −0.405163 | + | 0.914244i | \(0.632785\pi\) |
−0.973126 | + | 0.230273i | \(0.926038\pi\) | |||||||
\(588\) | −31.7103 | + | 25.1174i | −1.30771 | + | 1.03582i | ||||
\(589\) | −2.90773 | − | 25.0631i | −0.119811 | − | 1.03271i | ||||
\(590\) | −45.4245 | + | 3.15296i | −1.87010 | + | 0.129805i | ||||
\(591\) | 6.50735 | + | 16.7974i | 0.267677 | + | 0.690953i | ||||
\(592\) | 1.10750 | − | 0.180659i | 0.0455178 | − | 0.00742504i | ||||
\(593\) | 4.09292 | − | 9.26958i | 0.168076 | − | 0.380656i | −0.810737 | − | 0.585410i | \(-0.800934\pi\) |
0.978813 | + | 0.204754i | \(0.0656394\pi\) | |||||||
\(594\) | 22.8124 | + | 14.1248i | 0.936003 | + | 0.579549i | ||||
\(595\) | 9.95937 | − | 34.5752i | 0.408294 | − | 1.41744i | ||||
\(596\) | 4.65424 | − | 2.88179i | 0.190645 | − | 0.118043i | ||||
\(597\) | 1.81696 | + | 13.0254i | 0.0743633 | + | 0.533093i | ||||
\(598\) | 2.43664 | − | 1.43193i | 0.0996418 | − | 0.0585558i | ||||
\(599\) | 5.39541 | − | 4.07443i | 0.220451 | − | 0.166477i | −0.486633 | − | 0.873606i | \(-0.661775\pi\) |
0.707084 | + | 0.707130i | \(0.250010\pi\) | |||||||
\(600\) | 0.000966274 | − | 0.0418227i | 3.94480e−5 | − | 0.00170740i | ||||
\(601\) | 5.78977 | + | 18.6969i | 0.236170 | + | 0.762664i | 0.993919 | + | 0.110117i | \(0.0351227\pi\) |
−0.757749 | + | 0.652546i | \(0.773701\pi\) | |||||||
\(602\) | 47.7998 | + | 3.31783i | 1.94818 | + | 0.135225i | ||||
\(603\) | −1.22588 | − | 26.5155i | −0.0499219 | − | 1.07979i | ||||
\(604\) | 1.58203 | + | 6.72640i | 0.0643721 | + | 0.273693i | ||||
\(605\) | 13.9390 | − | 23.7194i | 0.566701 | − | 0.964330i | ||||
\(606\) | −67.5919 | + | 1.56165i | −2.74573 | + | 0.0634376i | ||||
\(607\) | 33.1117 | + | 26.2274i | 1.34396 | + | 1.06454i | 0.991691 | + | 0.128641i | \(0.0410615\pi\) |
0.352272 | + | 0.935897i | \(0.385409\pi\) | |||||||
\(608\) | −10.2859 | + | 16.6123i | −0.417149 | + | 0.673719i | ||||
\(609\) | −61.6458 | − | 1.42427i | −2.49801 | − | 0.0577142i | ||||
\(610\) | 40.5487 | + | 33.6712i | 1.64177 | + | 1.36331i | ||||
\(611\) | 1.34502 | + | 2.70117i | 0.0544139 | + | 0.109278i | ||||
\(612\) | −25.2223 | + | 17.1572i | −1.01955 | + | 0.693538i | ||||
\(613\) | −15.5017 | + | 31.1316i | −0.626107 | + | 1.25739i | 0.324174 | + | 0.945997i | \(0.394914\pi\) |
−0.950281 | + | 0.311394i | \(0.899204\pi\) | |||||||
\(614\) | 21.3782 | − | 9.43940i | 0.862754 | − | 0.380943i | ||||
\(615\) | 21.7512 | − | 18.9276i | 0.877093 | − | 0.763236i | ||||
\(616\) | 6.72199i | 0.270837i | ||||||||
\(617\) | 11.9913 | + | 13.7802i | 0.482753 | + | 0.554769i | 0.942901 | − | 0.333074i | \(-0.108086\pi\) |
−0.460147 | + | 0.887842i | \(0.652203\pi\) | |||||||
\(618\) | 25.8549 | − | 10.7094i | 1.04004 | − | 0.430797i | ||||
\(619\) | −27.1922 | − | 12.7650i | −1.09295 | − | 0.513069i | −0.207702 | − | 0.978192i | \(-0.566598\pi\) |
−0.885246 | + | 0.465123i | \(0.846010\pi\) | |||||||
\(620\) | 35.4012 | − | 19.7184i | 1.42175 | − | 0.791908i | ||||
\(621\) | 11.9675 | + | 2.81472i | 0.480238 | + | 0.112951i | ||||
\(622\) | 2.76771 | − | 16.9669i | 0.110975 | − | 0.680311i | ||||
\(623\) | 1.81637 | − | 26.1683i | 0.0727713 | − | 1.04841i | ||||
\(624\) | −0.619488 | − | 3.79765i | −0.0247994 | − | 0.152028i | ||||
\(625\) | 24.6706 | − | 2.28607i | 0.986824 | − | 0.0914427i | ||||
\(626\) | 29.3684 | + | 6.19520i | 1.17380 | + | 0.247610i | ||||
\(627\) | 26.7199 | − | 18.3035i | 1.06709 | − | 0.730973i | ||||
\(628\) | −3.96756 | + | 42.8168i | −0.158323 | + | 1.70858i | ||||
\(629\) | 0.666149 | − | 0.835396i | 0.0265611 | − | 0.0333094i | ||||
\(630\) | −6.40158 | − | 69.0841i | −0.255045 | − | 2.75238i | ||||
\(631\) | 4.65396 | + | 5.60455i | 0.185271 | + | 0.223114i | 0.853838 | − | 0.520538i | \(-0.174269\pi\) |
−0.668567 | + | 0.743652i | \(0.733092\pi\) | |||||||
\(632\) | −1.14799 | + | 1.44932i | −0.0456647 | + | 0.0576509i | ||||
\(633\) | 6.71643 | + | 5.07202i | 0.266954 | + | 0.201595i | ||||
\(634\) | −49.7459 | − | 5.77133i | −1.97566 | − | 0.229209i | ||||
\(635\) | −3.07427 | − | 5.83233i | −0.121999 | − | 0.231449i | ||||
\(636\) | 19.3344 | + | 20.2489i | 0.766657 | + | 0.802921i | ||||
\(637\) | −2.30719 | − | 1.58046i | −0.0914143 | − | 0.0626203i | ||||
\(638\) | 35.6959 | − | 42.9869i | 1.41321 | − | 1.70187i | ||||
\(639\) | 4.82456 | + | 22.8709i | 0.190857 | + | 0.904759i | ||||
\(640\) | 6.21040 | + | 1.01306i | 0.245488 | + | 0.0400449i | ||||
\(641\) | −22.8537 | + | 35.0733i | −0.902668 | + | 1.38531i | 0.0200342 | + | 0.999799i | \(0.493622\pi\) |
−0.922703 | + | 0.385513i | \(0.874025\pi\) | |||||||
\(642\) | 30.2779 | + | 33.2133i | 1.19497 | + | 1.31082i | ||||
\(643\) | −5.17326 | − | 2.14283i | −0.204013 | − | 0.0845051i | 0.278337 | − | 0.960483i | \(-0.410217\pi\) |
−0.482350 | + | 0.875978i | \(0.660217\pi\) | |||||||
\(644\) | −9.80297 | − | 29.2481i | −0.386291 | − | 1.15254i | ||||
\(645\) | −22.3100 | + | 29.5432i | −0.878455 | + | 1.16326i | ||||
\(646\) | 3.66646 | + | 19.9739i | 0.144255 | + | 0.785862i | ||||
\(647\) | −15.0431 | − | 19.9202i | −0.591404 | − | 0.783145i | 0.399641 | − | 0.916672i | \(-0.369135\pi\) |
−0.991045 | + | 0.133526i | \(0.957370\pi\) | |||||||
\(648\) | −0.932833 | + | 1.36177i | −0.0366452 | + | 0.0534953i | ||||
\(649\) | 23.5899 | − | 44.7534i | 0.925984 | − | 1.75672i | ||||
\(650\) | −0.0278595 | + | 0.00792670i | −0.00109274 | + | 0.000310911i | ||||
\(651\) | 84.6875 | − | 60.9333i | 3.31917 | − | 2.38816i | ||||
\(652\) | −6.06751 | + | 3.95358i | −0.237622 | + | 0.154834i | ||||
\(653\) | 0.892852 | + | 2.15554i | 0.0349400 | + | 0.0843527i | 0.940386 | − | 0.340108i | \(-0.110464\pi\) |
−0.905446 | + | 0.424461i | \(0.860464\pi\) | |||||||
\(654\) | −7.47758 | + | 53.6050i | −0.292397 | + | 2.09612i | ||||
\(655\) | 6.20448 | + | 14.0518i | 0.242429 | + | 0.549049i | ||||
\(656\) | −11.5165 | − | 17.6743i | −0.449645 | − | 0.690064i | ||||
\(657\) | 6.31454 | − | 24.3135i | 0.246354 | − | 0.948561i | ||||
\(658\) | 66.9376 | − | 17.3846i | 2.60950 | − | 0.677721i | ||||
\(659\) | 2.32670 | − | 12.4468i | 0.0906356 | − | 0.484857i | −0.907291 | − | 0.420502i | \(-0.861854\pi\) |
0.997927 | − | 0.0643552i | \(-0.0204991\pi\) | |||||||
\(660\) | 43.5807 | + | 28.3972i | 1.69638 | + | 1.10536i | ||||
\(661\) | −13.9719 | + | 0.645960i | −0.543444 | + | 0.0251249i | −0.316164 | − | 0.948704i | \(-0.602395\pi\) |
−0.227280 | + | 0.973829i | \(0.572983\pi\) | |||||||
\(662\) | 21.8315 | − | 8.45757i | 0.848506 | − | 0.328713i | ||||
\(663\) | −2.86461 | − | 2.28425i | −0.111252 | − | 0.0887131i | ||||
\(664\) | −4.68136 | − | 1.81357i | −0.181672 | − | 0.0703801i | ||||
\(665\) | −20.8556 | − | 6.99009i | −0.808745 | − | 0.271064i | ||||
\(666\) | 0.609443 | − | 1.96808i | 0.0236155 | − | 0.0762615i | ||||
\(667\) | 9.24851 | − | 23.8732i | 0.358104 | − | 0.924372i | ||||
\(668\) | 3.81079 | − | 18.0651i | 0.147444 | − | 0.698959i | ||||
\(669\) | 5.75629 | + | 7.26723i | 0.222551 | + | 0.280967i | ||||
\(670\) | −0.655519 | − | 28.3725i | −0.0253249 | − | 1.09612i | ||||
\(671\) | −55.5232 | + | 18.6095i | −2.14345 | + | 0.718412i | ||||
\(672\) | −80.7067 | − | 3.73130i | −3.11333 | − | 0.143938i | ||||
\(673\) | −5.50314 | − | 3.95955i | −0.212130 | − | 0.152629i | 0.472969 | − | 0.881079i | \(-0.343182\pi\) |
−0.685099 | + | 0.728450i | \(0.740241\pi\) | |||||||
\(674\) | 8.80260 | + | 3.17832i | 0.339064 | + | 0.122424i | ||||
\(675\) | −0.111461 | − | 0.0587520i | −0.00429013 | − | 0.00226136i | ||||
\(676\) | 20.9795 | − | 10.4466i | 0.806904 | − | 0.401790i | ||||
\(677\) | 24.0275 | + | 22.9423i | 0.923450 | + | 0.881743i | 0.993271 | − | 0.115816i | \(-0.0369484\pi\) |
−0.0698202 | + | 0.997560i | \(0.522243\pi\) | |||||||
\(678\) | 12.3937 | − | 52.6947i | 0.475977 | − | 2.02373i | ||||
\(679\) | −30.2238 | − | 5.64981i | −1.15988 | − | 0.216820i | ||||
\(680\) | 2.73417 | − | 1.76892i | 0.104851 | − | 0.0678349i | ||||
\(681\) | −36.5839 | + | 6.83872i | −1.40190 | + | 0.262060i | ||||
\(682\) | −4.36616 | + | 94.4385i | −0.167189 | + | 3.61624i | ||||
\(683\) | 5.43917 | − | 46.8829i | 0.208124 | − | 1.79392i | −0.322761 | − | 0.946480i | \(-0.604611\pi\) |
0.530885 | − | 0.847444i | \(-0.321859\pi\) | |||||||
\(684\) | 9.81692 | + | 15.8549i | 0.375359 | + | 0.606226i | ||||
\(685\) | −25.1837 | − | 42.8539i | −0.962218 | − | 1.63736i | ||||
\(686\) | −7.57505 | + | 7.23292i | −0.289217 | + | 0.276154i | ||||
\(687\) | 12.8143 | − | 35.4902i | 0.488896 | − | 1.35404i | ||||
\(688\) | 19.1522 | + | 19.1522i | 0.730170 | + | 0.730170i | ||||
\(689\) | −0.941829 | + | 1.69091i | −0.0358808 | + | 0.0644184i | ||||
\(690\) | 48.4400 | + | 12.5805i | 1.84408 | + | 0.478932i | ||||
\(691\) | 12.6736 | − | 26.9974i | 0.482125 | − | 1.02703i | −0.504407 | − | 0.863466i | \(-0.668289\pi\) |
0.986533 | − | 0.163565i | \(-0.0522993\pi\) | |||||||
\(692\) | 14.4563 | + | 40.0379i | 0.549547 | + | 1.52201i | ||||
\(693\) | 69.0029 | + | 34.3594i | 2.62120 | + | 1.30520i | ||||
\(694\) | −25.4913 | − | 35.4288i | −0.967636 | − | 1.34486i | ||||
\(695\) | −16.7331 | − | 9.32025i | −0.634721 | − | 0.353537i | ||||
\(696\) | −4.12426 | − | 3.75976i | −0.156330 | − | 0.142513i | ||||
\(697\) | −19.4250 | − | 5.11255i | −0.735775 | − | 0.193652i | ||||
\(698\) | 53.1137 | − | 48.4196i | 2.01038 | − | 1.83271i | ||||
\(699\) | 13.7644 | − | 3.23737i | 0.520619 | − | 0.122449i | ||||
\(700\) | 0.0218911 | + | 0.315383i | 0.000827405 | + | 0.0119204i | ||||
\(701\) | 0.104728 | + | 0.00970452i | 0.00395554 | + | 0.000366535i | 0.0942459 | − | 0.995549i | \(-0.469956\pi\) |
−0.0902904 | + | 0.995915i | \(0.528780\pi\) | |||||||
\(702\) | −1.77248 | − | 0.548873i | −0.0668978 | − | 0.0207159i | ||||
\(703\) | −0.492740 | − | 0.428777i | −0.0185841 | − | 0.0161716i | ||||
\(704\) | 20.5827 | − | 23.6532i | 0.775740 | − | 0.891462i | ||||
\(705\) | −16.9809 | + | 50.6642i | −0.639539 | + | 1.90813i | ||||
\(706\) | 11.4558 | + | 16.7234i | 0.431144 | + | 0.629393i | ||||
\(707\) | −50.6754 | + | 5.87916i | −1.90584 | + | 0.221109i | ||||
\(708\) | 43.6302 | + | 25.6399i | 1.63972 | + | 0.963605i | ||||
\(709\) | −10.9633 | + | 26.4677i | −0.411734 | + | 0.994013i | 0.572938 | + | 0.819598i | \(0.305803\pi\) |
−0.984672 | + | 0.174415i | \(0.944197\pi\) | |||||||
\(710\) | 4.59212 | + | 24.5657i | 0.172339 | + | 0.921934i | ||||
\(711\) | 9.00971 | + | 19.1926i | 0.337891 | + | 0.719780i | ||||
\(712\) | 1.67873 | − | 1.67873i | 0.0629132 | − | 0.0629132i | ||||
\(713\) | 11.8545 | + | 41.6641i | 0.443953 | + | 1.56033i | ||||
\(714\) | −64.7765 | + | 53.4341i | −2.42420 | + | 1.99972i | ||||
\(715\) | −0.984096 | + | 3.45874i | −0.0368031 | + | 0.129350i | ||||
\(716\) | −8.10120 | − | 14.5444i | −0.302756 | − | 0.543551i | ||||
\(717\) | 1.77927 | + | 6.85090i | 0.0664480 | + | 0.255851i | ||||
\(718\) | 38.2759 | − | 41.9867i | 1.42845 | − | 1.56693i | ||||
\(719\) | −28.7073 | + | 13.4762i | −1.07060 | + | 0.502578i | −0.877981 | − | 0.478695i | \(-0.841110\pi\) |
−0.192619 | + | 0.981274i | \(0.561698\pi\) | |||||||
\(720\) | 22.9056 | − | 31.8351i | 0.853641 | − | 1.18642i | ||||
\(721\) | 18.6800 | − | 9.84642i | 0.695681 | − | 0.366700i | ||||
\(722\) | −24.4761 | + | 3.41428i | −0.910908 | + | 0.127066i | ||||
\(723\) | 3.44381 | − | 0.480391i | 0.128077 | − | 0.0178659i | ||||
\(724\) | 42.3602 | − | 22.3284i | 1.57430 | − | 0.829830i | ||||
\(725\) | −0.153244 | + | 0.212985i | −0.00569135 | + | 0.00791007i | ||||
\(726\) | −58.1211 | + | 27.2841i | −2.15707 | + | 1.01261i | ||||
\(727\) | 9.43409 | − | 10.3487i | 0.349891 | − | 0.383812i | −0.538711 | − | 0.842490i | \(-0.681089\pi\) |
0.888602 | + | 0.458678i | \(0.151677\pi\) | |||||||
\(728\) | −0.116853 | − | 0.449932i | −0.00433087 | − | 0.0166756i | ||||
\(729\) | 20.2372 | + | 36.3328i | 0.749528 | + | 1.34566i | ||||
\(730\) | 7.35001 | − | 25.8326i | 0.272036 | − | 0.956107i | ||||
\(731\) | 25.7586 | + | 1.27501i | 0.952716 | + | 0.0471578i | ||||
\(732\) | −16.0306 | − | 56.3416i | −0.592507 | − | 2.08245i | ||||
\(733\) | 4.07675 | − | 4.07675i | 0.150578 | − | 0.150578i | −0.627798 | − | 0.778376i | \(-0.716044\pi\) |
0.778376 | + | 0.627798i | \(0.216044\pi\) | |||||||
\(734\) | −10.8161 | − | 23.0407i | −0.399231 | − | 0.850447i | ||||
\(735\) | −9.09969 | − | 48.6791i | −0.335647 | − | 1.79555i | ||||
\(736\) | 12.8371 | − | 30.9915i | 0.473182 | − | 1.14236i | ||||
\(737\) | 27.1848 | + | 15.9755i | 1.00137 | + | 0.588465i | ||||
\(738\) | −38.4736 | + | 4.46356i | −1.41623 | + | 0.164306i | ||||
\(739\) | 13.7822 | + | 20.1196i | 0.506988 | + | 0.740111i | 0.990840 | − | 0.135039i | \(-0.0431159\pi\) |
−0.483853 | + | 0.875149i | \(0.660763\pi\) | |||||||
\(740\) | 0.333373 | − | 0.994650i | 0.0122550 | − | 0.0365641i | ||||
\(741\) | −1.47030 | + | 1.68963i | −0.0540127 | + | 0.0620701i | ||||
\(742\) | 33.4638 | + | 29.1198i | 1.22850 | + | 1.06902i | ||||
\(743\) | 4.64681 | + | 1.43895i | 0.170475 | + | 0.0527900i | 0.379864 | − | 0.925042i | \(-0.375971\pi\) |
−0.209389 | + | 0.977832i | \(0.567147\pi\) | |||||||
\(744\) | 9.40225 | + | 0.871246i | 0.344703 | + | 0.0319414i | ||||
\(745\) | 0.464041 | + | 6.68541i | 0.0170012 | + | 0.244935i | ||||
\(746\) | 12.8743 | − | 3.02801i | 0.471362 | − | 0.110863i | ||||
\(747\) | −42.5455 | + | 38.7854i | −1.55666 | + | 1.41908i | ||||
\(748\) | −0.718952 | − | 36.2293i | −0.0262875 | − | 1.32468i | ||||
\(749\) | 25.0612 | + | 22.8463i | 0.915716 | + | 0.834785i | ||||
\(750\) | −50.9669 | − | 28.3884i | −1.86105 | − | 1.03660i | ||||
\(751\) | −3.35621 | − | 4.66460i | −0.122470 | − | 0.170214i | 0.746015 | − | 0.665929i | \(-0.231965\pi\) |
−0.868485 | + | 0.495715i | \(0.834906\pi\) | |||||||
\(752\) | 34.9953 | + | 17.4256i | 1.27615 | + | 0.635446i | ||||
\(753\) | 4.47679 | + | 12.3988i | 0.163143 | + | 0.451837i | ||||
\(754\) | −1.64201 | + | 3.49783i | −0.0597984 | + | 0.127384i | ||||
\(755\) | −8.18753 | − | 2.12641i | −0.297975 | − | 0.0773880i | ||||
\(756\) | −9.85477 | + | 17.6927i | −0.358415 | + | 0.643478i | ||||
\(757\) | −30.7963 | − | 30.7963i | −1.11931 | − | 1.11931i | −0.991843 | − | 0.127469i | \(-0.959315\pi\) |
−0.127469 | − | 0.991843i | \(-0.540685\pi\) | |||||||
\(758\) | 7.13986 | − | 19.7744i | 0.259331 | − | 0.718237i | ||||
\(759\) | −40.2159 | + | 38.3996i | −1.45975 | + | 1.39382i | ||||
\(760\) | −1.00862 | − | 1.71633i | −0.0365866 | − | 0.0622578i | ||||
\(761\) | 11.2640 | + | 18.1919i | 0.408319 | + | 0.659458i | 0.987835 | − | 0.155503i | \(-0.0496998\pi\) |
−0.579517 | + | 0.814960i | \(0.696759\pi\) | |||||||
\(762\) | −1.77319 | + | 15.2840i | −0.0642358 | + | 0.553680i | ||||
\(763\) | −1.88611 | + | 40.7959i | −0.0682817 | + | 1.47691i | ||||
\(764\) | −11.5137 | + | 2.15228i | −0.416550 | + | 0.0778667i | ||||
\(765\) | −4.18273 | − | 37.1088i | −0.151227 | − | 1.34167i | ||||
\(766\) | 11.7738 | + | 2.20091i | 0.425405 | + | 0.0795219i | ||||
\(767\) | −0.800995 | + | 3.40562i | −0.0289223 | + | 0.122970i | ||||
\(768\) | −35.5708 | − | 33.9642i | −1.28355 | − | 1.22558i | ||||
\(769\) | 38.6731 | − | 19.2569i | 1.39459 | − | 0.694423i | 0.417783 | − | 0.908547i | \(-0.362807\pi\) |
0.976806 | + | 0.214124i | \(0.0686897\pi\) | |||||||
\(770\) | 72.9082 | + | 38.4306i | 2.62743 | + | 1.38494i | ||||
\(771\) | −59.1845 | − | 21.3695i | −2.13148 | − | 0.769605i | ||||
\(772\) | 6.44714 | + | 4.63876i | 0.232037 | + | 0.166953i | ||||
\(773\) | 3.87614 | + | 0.179205i | 0.139415 | + | 0.00644554i | 0.115778 | − | 0.993275i | \(-0.463064\pi\) |
0.0236366 | + | 0.999721i | \(0.492476\pi\) | |||||||
\(774\) | 47.1516 | − | 15.8036i | 1.69483 | − | 0.568050i | ||||
\(775\) | −0.0102543 | − | 0.443830i | −0.000368345 | − | 0.0159429i | ||||
\(776\) | −1.72787 | − | 2.18141i | −0.0620269 | − | 0.0783080i | ||||
\(777\) | 0.557475 | − | 2.64272i | 0.0199993 | − | 0.0948070i | ||||
\(778\) | −24.8825 | + | 64.2290i | −0.892079 | + | 2.30272i | ||||
\(779\) | −3.63228 | + | 11.7297i | −0.130140 | + | 0.420262i | ||||
\(780\) | −3.41070 | − | 1.14315i | −0.122123 | − | 0.0409314i | ||||
\(781\) | −25.8913 | − | 10.0303i | −0.926464 | − | 0.358914i | ||||
\(782\) | −11.7334 | − | 32.8310i | −0.419586 | − | 1.17404i | ||||
\(783\) | −15.6735 | + | 6.07193i | −0.560124 | + | 0.216993i | ||||
\(784\) | −36.1930 | + | 1.67330i | −1.29261 | + | 0.0597609i | ||||
\(785\) | −44.1042 | − | 28.7382i | −1.57414 | − | 1.02571i | ||||
\(786\) | 6.58709 | − | 35.2378i | 0.234954 | − | 1.25689i | ||||
\(787\) | 28.8579 | − | 7.49479i | 1.02867 | − | 0.267160i | 0.301393 | − | 0.953500i | \(-0.402548\pi\) |
0.727281 | + | 0.686340i | \(0.240784\pi\) | |||||||
\(788\) | 3.09712 | − | 11.9252i | 0.110330 | − | 0.424816i | ||||
\(789\) | 2.01840 | + | 3.09761i | 0.0718570 | + | 0.110278i | ||||
\(790\) | 9.15644 | + | 20.7374i | 0.325771 | + | 0.737802i | ||||
\(791\) | 5.64312 | − | 40.4542i | 0.200646 | − | 1.43839i | ||||
\(792\) | 2.66982 | + | 6.44552i | 0.0948679 | + | 0.229031i | ||||
\(793\) | 3.39291 | − | 2.21082i | 0.120486 | − | 0.0785085i | ||||
\(794\) | 59.2586 | − | 42.6370i | 2.10301 | − | 1.51313i | ||||
\(795\) | −32.9656 | + | 9.37953i | −1.16917 | + | 0.332658i | ||||
\(796\) | 4.19438 | − | 7.95733i | 0.148666 | − | 0.282040i | ||||
\(797\) | −6.50777 | + | 9.50017i | −0.230517 | + | 0.336513i | −0.922916 | − | 0.385002i | \(-0.874201\pi\) |
0.692399 | + | 0.721515i | \(0.256554\pi\) | |||||||
\(798\) | 30.9352 | + | 40.9649i | 1.09509 | + | 1.45014i | ||||
\(799\) | 35.8364 | − | 10.0702i | 1.26780 | − | 0.356259i | ||||
\(800\) | −0.207181 | + | 0.274351i | −0.00732494 | + | 0.00969979i | ||||
\(801\) | −8.65180 | − | 25.8135i | −0.305696 | − | 0.912074i | ||||
\(802\) | 15.2618 | + | 6.32163i | 0.538911 | + | 0.223224i | ||||
\(803\) | 20.1032 | + | 22.0522i | 0.709428 | + | 0.778206i | ||||
\(804\) | −17.2195 | + | 26.4265i | −0.607285 | + | 0.931992i | ||||
\(805\) | 37.2705 | + | 6.07971i | 1.31361 | + | 0.214282i | ||||
\(806\) | −1.34945 | − | 6.39709i | −0.0475324 | − | 0.225328i | ||||
\(807\) | 26.3472 | − | 31.7287i | 0.927466 | − | 1.11690i | ||||
\(808\) | −3.80917 | − | 2.60934i | −0.134006 | − | 0.0917963i | ||||
\(809\) | −28.6459 | − | 30.0008i | −1.00713 | − | 1.05477i | −0.998497 | − | 0.0548102i | \(-0.982545\pi\) |
−0.00863773 | − | 0.999963i | \(-0.502750\pi\) | |||||||
\(810\) | 9.43691 | + | 17.9032i | 0.331579 | + | 0.629053i | ||||
\(811\) | 16.5414 | + | 1.91907i | 0.580849 | + | 0.0673878i | 0.400632 | − | 0.916239i | \(-0.368791\pi\) |
0.180217 | + | 0.983627i | \(0.442320\pi\) | |||||||
\(812\) | 33.6560 | + | 25.4159i | 1.18110 | + | 0.891922i | ||||
\(813\) | −38.9761 | + | 49.2067i | −1.36695 | + | 1.72576i | ||||
\(814\) | 1.56352 | + | 1.88288i | 0.0548014 | + | 0.0659948i | ||||
\(815\) | −0.818012 | − | 8.82775i | −0.0286537 | − | 0.309223i | ||||
\(816\) | −47.4509 | − | 1.25100i | −1.66111 | − | 0.0437938i | ||||
\(817\) | 1.45470 | − | 15.6987i | 0.0508935 | − | 0.549229i | ||||
\(818\) | −8.60762 | + | 5.89635i | −0.300958 | + | 0.206161i | ||||
\(819\) | −5.21597 | − | 1.10030i | −0.182261 | − | 0.0384474i | ||||
\(820\) | −19.6369 | + | 1.81962i | −0.685749 | + | 0.0635440i | ||||
\(821\) | 3.06290 | + | 18.7766i | 0.106896 | + | 0.655306i | 0.984428 | + | 0.175788i | \(0.0562474\pi\) |
−0.877532 | + | 0.479518i | \(0.840811\pi\) | |||||||
\(822\) | −8.03250 | + | 115.724i | −0.280166 | + | 4.03633i | ||||
\(823\) | 4.23989 | − | 25.9919i | 0.147793 | − | 0.906019i | −0.802951 | − | 0.596044i | \(-0.796738\pi\) |
0.950745 | − | 0.309975i | \(-0.100321\pi\) | |||||||
\(824\) | 1.86038 | + | 0.437558i | 0.0648095 | + | 0.0152431i | ||||
\(825\) | 0.497852 | − | 0.277302i | 0.0173330 | − | 0.00965440i | ||||
\(826\) | 72.5832 | + | 34.0732i | 2.52549 | + | 1.18556i | ||||
\(827\) | −38.9304 | + | 16.1255i | −1.35374 | + | 0.560738i | −0.937332 | − | 0.348438i | \(-0.886712\pi\) |
−0.416410 | + | 0.909177i | \(0.636712\pi\) | |||||||
\(828\) | −21.0165 | − | 24.1516i | −0.730372 | − | 0.839326i | ||||
\(829\) | − | 48.5006i | − | 1.68449i | −0.539091 | − | 0.842247i | \(-0.681232\pi\) | ||
0.539091 | − | 0.842247i | \(-0.318768\pi\) | |||||||
\(830\) | −46.4344 | + | 40.4067i | −1.61176 | + | 1.40254i | ||||
\(831\) | −5.48268 | + | 2.42084i | −0.190192 | + | 0.0839780i | ||||
\(832\) | −0.966511 | + | 1.94102i | −0.0335077 | + | 0.0672926i | ||||
\(833\) | −24.4739 | + | 24.3150i | −0.847972 | + | 0.842464i | ||||
\(834\) | 19.9246 | + | 40.0140i | 0.689933 | + | 1.38557i | ||||
\(835\) | 17.3885 | + | 14.4392i | 0.601753 | + | 0.499690i | ||||
\(836\) | −22.1461 | − | 0.511665i | −0.765939 | − | 0.0176963i | ||||
\(837\) | 14.9714 | − | 24.1797i | 0.517488 | − | 0.835773i | ||||
\(838\) | 0.303256 | + | 0.240206i | 0.0104758 | + | 0.00829777i | ||||
\(839\) | −14.2105 | + | 0.328321i | −0.490602 | + | 0.0113349i | −0.267693 | − | 0.963504i | \(-0.586261\pi\) |
−0.222909 | + | 0.974839i | \(0.571555\pi\) | |||||||
\(840\) | 4.17063 | − | 7.09697i | 0.143900 | − | 0.244869i | ||||
\(841\) | 1.37447 | + | 5.84387i | 0.0473954 | + | 0.201513i | ||||
\(842\) | −0.473721 | − | 10.2464i | −0.0163255 | − | 0.353115i | ||||
\(843\) | −68.0945 | − | 4.72651i | −2.34530 | − | 0.162790i | ||||
\(844\) | −1.70281 | − | 5.49888i | −0.0586130 | − | 0.189279i | ||||
\(845\) | −0.662702 | + | 28.6833i | −0.0227976 | + | 0.986737i | ||||
\(846\) | 57.2797 | − | 43.2557i | 1.96932 | − | 1.48716i | ||||
\(847\) | −41.7688 | + | 24.5460i | −1.43519 | + | 0.843409i | ||||
\(848\) | 3.46437 | + | 24.8352i | 0.118967 | + | 0.852845i | ||||
\(849\) | 45.1169 | − | 27.9352i | 1.54841 | − | 0.958735i | ||||
\(850\) | 0.0318097 | + | 0.355898i | 0.00109106 | + | 0.0122072i | ||||
\(851\) | 0.953432 | + | 0.590340i | 0.0326832 | + | 0.0202366i | ||||
\(852\) | 11.2190 | − | 25.4086i | 0.384357 | − | 0.870486i | ||||
\(853\) | −29.0479 | + | 4.73841i | −0.994583 | + | 0.162240i | −0.636357 | − | 0.771395i | \(-0.719559\pi\) |
−0.358226 | + | 0.933635i | \(0.616618\pi\) | |||||||
\(854\) | −33.5280 | − | 86.5458i | −1.14731 | − | 2.96154i | ||||
\(855\) | −22.7741 | + | 1.58077i | −0.778859 | + | 0.0540614i | ||||
\(856\) | 0.353707 | + | 3.04878i | 0.0120895 | + | 0.104205i | ||||
\(857\) | −6.90005 | + | 5.46546i | −0.235701 | + | 0.186696i | −0.731700 | − | 0.681627i | \(-0.761273\pi\) |
0.495999 | + | 0.868323i | \(0.334802\pi\) | |||||||
\(858\) | 6.45647 | − | 5.36138i | 0.220420 | − | 0.183035i | ||||
\(859\) | −42.0111 | − | 18.5497i | −1.43340 | − | 0.632908i | −0.465684 | − | 0.884951i | \(-0.654191\pi\) |
−0.967716 | + | 0.252044i | \(0.918897\pi\) | |||||||
\(860\) | 24.1876 | − | 7.49004i | 0.824791 | − | 0.255408i | ||||
\(861\) | −49.6811 | + | 10.4801i | −1.69313 | + | 0.357161i | ||||
\(862\) | −20.3230 | + | 21.2843i | −0.692204 | + | 0.724946i | ||||
\(863\) | −27.0593 | − | 7.69903i | −0.921109 | − | 0.262078i | −0.220304 | − | 0.975431i | \(-0.570705\pi\) |
−0.700805 | + | 0.713353i | \(0.747176\pi\) | |||||||
\(864\) | −20.7144 | + | 7.47928i | −0.704719 | + | 0.254450i | ||||
\(865\) | −51.6118 | − | 7.19954i | −1.75485 | − | 0.244792i | ||||
\(866\) | 9.06894 | 0.308175 | ||||||||
\(867\) | −34.2884 | + | 29.4470i | −1.16450 | + | 1.00007i | ||||
\(868\) | −71.3580 | −2.42205 | ||||||||
\(869\) | −24.9446 | − | 3.47962i | −0.846187 | − | 0.118038i | ||||
\(870\) | −64.3582 | + | 23.2376i | −2.18195 | + | 0.787827i | ||||
\(871\) | −2.09731 | − | 0.596738i | −0.0710648 | − | 0.0202197i | ||||
\(872\) | −2.55255 | + | 2.67329i | −0.0864403 | + | 0.0905290i | ||||
\(873\) | −31.2247 | + | 6.58678i | −1.05680 | + | 0.222929i | ||||
\(874\) | −20.3596 | + | 6.30465i | −0.688675 | + | 0.213258i | ||||
\(875\) | −40.2696 | − | 17.7808i | −1.36136 | − | 0.601099i | ||||
\(876\) | −22.9645 | + | 19.0695i | −0.775899 | + | 0.644299i | ||||
\(877\) | 9.14456 | − | 7.24330i | 0.308790 | − | 0.244589i | −0.454349 | − | 0.890824i | \(-0.650128\pi\) |
0.763138 | + | 0.646235i | \(0.223657\pi\) | |||||||
\(878\) | −5.18732 | − | 44.7120i | −0.175063 | − | 1.50896i | ||||
\(879\) | 22.1717 | − | 1.53896i | 0.747833 | − | 0.0519078i | ||||
\(880\) | 16.8297 | + | 43.4425i | 0.567329 | + | 1.46444i | ||||
\(881\) | 30.2913 | − | 4.94123i | 1.02054 | − | 0.166474i | 0.372461 | − | 0.928048i | \(-0.378514\pi\) |
0.648079 | + | 0.761573i | \(0.275573\pi\) | |||||||
\(882\) | −26.8699 | + | 60.8546i | −0.904757 | + | 2.04908i | ||||
\(883\) | 10.5856 | + | 6.55436i | 0.356235 | + | 0.220572i | 0.692868 | − | 0.721064i | \(-0.256347\pi\) |
−0.336633 | + | 0.941636i | \(0.609288\pi\) | |||||||
\(884\) | 0.677925 | + | 2.41249i | 0.0228011 | + | 0.0811409i | ||||
\(885\) | −52.6729 | + | 32.6137i | −1.77058 | + | 1.09630i | ||||
\(886\) | −5.37535 | − | 38.5346i | −0.180588 | − | 1.29460i | ||||
\(887\) | −15.1944 | + | 8.92918i | −0.510177 | + | 0.299812i | −0.739058 | − | 0.673642i | \(-0.764729\pi\) |
0.228880 | + | 0.973455i | \(0.426494\pi\) | |||||||
\(888\) | 0.195072 | − | 0.147311i | 0.00654618 | − | 0.00494344i | ||||
\(889\) | −0.268165 | + | 11.6068i | −0.00899395 | + | 0.389280i | ||||
\(890\) | −8.61036 | − | 27.8055i | −0.288620 | − | 0.932041i | ||||
\(891\) | −22.4313 | − | 1.55698i | −0.751478 | − | 0.0521609i | ||||
\(892\) | −0.292843 | − | 6.33409i | −0.00980510 | − | 0.212081i | ||||
\(893\) | −5.20999 | − | 22.1515i | −0.174346 | − | 0.741272i | ||||
\(894\) | 7.92395 | − | 13.4838i | 0.265016 | − | 0.450967i | ||||
\(895\) | 20.3756 | − | 0.470758i | 0.681080 | − | 0.0157357i | ||||
\(896\) | −8.68606 | − | 6.88013i | −0.290181 | − | 0.229849i | ||||
\(897\) | 2.02430 | − | 3.26936i | 0.0675895 | − | 0.109161i | ||||
\(898\) | −52.3340 | − | 1.20913i | −1.74641 | − | 0.0403491i | ||||
\(899\) | −45.5634 | − | 37.8354i | −1.51962 | − | 1.26188i | ||||
\(900\) | 0.146254 | + | 0.293717i | 0.00487513 | + | 0.00979058i | ||||
\(901\) | 18.3193 | + | 15.3133i | 0.610305 | + | 0.510159i | ||||
\(902\) | 20.5082 | − | 41.1860i | 0.682848 | − | 1.37134i | ||||
\(903\) | 59.6371 | − | 26.3324i | 1.98460 | − | 0.876286i | ||||
\(904\) | 2.78876 | − | 2.42675i | 0.0927528 | − | 0.0807124i | ||||
\(905\) | 58.6205i | 1.94861i | ||||||||
\(906\) | 12.9594 | + | 14.8926i | 0.430547 | + | 0.494774i | ||||
\(907\) | 24.7423 | − | 10.2486i | 0.821553 | − | 0.340298i | 0.0679999 | − | 0.997685i | \(-0.478338\pi\) |
0.753553 | + | 0.657387i | \(0.228338\pi\) | |||||||
\(908\) | 23.0427 | + | 10.8171i | 0.764700 | + | 0.358978i | ||||
\(909\) | −46.2561 | + | 25.7645i | −1.53422 | + | 0.854554i | ||||
\(910\) | −5.54814 | − | 1.30491i | −0.183919 | − | 0.0432573i | ||||
\(911\) | −3.83384 | + | 23.5026i | −0.127021 | + | 0.778677i | 0.843405 | + | 0.537278i | \(0.180547\pi\) |
−0.970426 | + | 0.241399i | \(0.922394\pi\) | |||||||
\(912\) | −2.00931 | + | 28.9480i | −0.0665349 | + | 0.958565i | ||||
\(913\) | −11.0103 | − | 67.4966i | −0.364388 | − | 2.23381i | ||||
\(914\) | −13.8926 | + | 1.28734i | −0.459527 | + | 0.0425815i | ||||
\(915\) | 70.1668 | + | 14.8015i | 2.31964 | + | 0.489323i | ||||
\(916\) | −21.2913 | + | 14.5849i | −0.703485 | + | 0.481898i | ||||
\(917\) | 2.49580 | − | 26.9340i | 0.0824185 | − | 0.889438i | ||||
\(918\) | −10.7393 | + | 20.2141i | −0.354450 | + | 0.667164i | ||||
\(919\) | −0.570410 | − | 6.15570i | −0.0188161 | − | 0.203058i | −0.999953 | − | 0.00974151i | \(-0.996899\pi\) |
0.981136 | − | 0.193316i | \(-0.0619244\pi\) | |||||||
\(920\) | 2.18344 | + | 2.62942i | 0.0719860 | + | 0.0866894i | ||||
\(921\) | 19.7423 | − | 24.9243i | 0.650531 | − | 0.821285i | ||||
\(922\) | −57.8799 | − | 43.7089i | −1.90617 | − | 1.43948i | ||||
\(923\) | 1.90739 | + | 0.221287i | 0.0627823 | + | 0.00728376i | ||||
\(924\) | −42.7118 | − | 81.0302i | −1.40511 | − | 2.66570i | ||||
\(925\) | −0.00793678 | − | 0.00831219i | −0.000260960 | − | 0.000273303i | ||||
\(926\) | 48.2689 | + | 33.0650i | 1.58622 | + | 1.08658i | ||||
\(927\) | 14.0010 | − | 16.8607i | 0.459852 | − | 0.553779i | ||||
\(928\) | 9.46638 | + | 44.8755i | 0.310749 | + | 1.47311i | ||||
\(929\) | 45.2770 | + | 7.38576i | 1.48549 | + | 0.242319i | 0.848764 | − | 0.528771i | \(-0.177347\pi\) |
0.636726 | + | 0.771090i | \(0.280288\pi\) | |||||||
\(930\) | 63.2037 | − | 96.9978i | 2.07253 | − | 3.18068i | ||||
\(931\) | 14.2082 | + | 15.5857i | 0.465656 | + | 0.510800i | ||||
\(932\) | −8.93506 | − | 3.70102i | −0.292678 | − | 0.121231i | ||||
\(933\) | −7.43312 | − | 22.1774i | −0.243349 | − | 0.726056i | ||||
\(934\) | −21.9281 | + | 29.0375i | −0.717509 | + | 0.950135i | ||||
\(935\) | 39.6454 | + | 19.9025i | 1.29654 | + | 0.650883i | ||||
\(936\) | −0.290750 | − | 0.385016i | −0.00950347 | − | 0.0125846i | ||||
\(937\) | −13.4719 | + | 19.6665i | −0.440107 | + | 0.642477i | −0.979939 | − | 0.199295i | \(-0.936135\pi\) |
0.539832 | + | 0.841773i | \(0.318488\pi\) | |||||||
\(938\) | −23.3036 | + | 44.2102i | −0.760889 | + | 1.44351i | ||||
\(939\) | 39.2785 | − | 11.1757i | 1.28180 | − | 0.364705i | ||||
\(940\) | 29.6660 | − | 21.3449i | 0.967599 | − | 0.696195i | ||||
\(941\) | 17.8454 | − | 11.6280i | 0.581742 | − | 0.379063i | −0.221103 | − | 0.975250i | \(-0.570966\pi\) |
0.802845 | + | 0.596188i | \(0.203319\pi\) | |||||||
\(942\) | 47.0134 | + | 113.500i | 1.53178 | + | 3.69804i | ||||
\(943\) | 2.91253 | − | 20.8793i | 0.0948451 | − | 0.679922i | ||||
\(944\) | 18.3080 | + | 41.4637i | 0.595876 | + | 1.34953i | ||||
\(945\) | −13.5351 | − | 20.7721i | −0.440295 | − | 0.675715i | ||||
\(946\) | −14.8496 | + | 57.1770i | −0.482803 | + | 1.85898i | ||||
\(947\) | −9.60763 | + | 2.49523i | −0.312206 | + | 0.0810841i | −0.404186 | − | 0.914677i | \(-0.632445\pi\) |
0.0919799 | + | 0.995761i | \(0.470680\pi\) | |||||||
\(948\) | 4.62943 | − | 24.7652i | 0.150357 | − | 0.804338i | ||||
\(949\) | −1.72895 | − | 1.12658i | −0.0561241 | − | 0.0365704i | ||||
\(950\) | 0.218201 | − | 0.0100881i | 0.00707938 | − | 0.000327300i | ||||
\(951\) | −63.5360 | + | 24.6140i | −2.06030 | + | 0.798163i | ||||
\(952\) | −5.72204 | + | 0.378444i | −0.185452 | + | 0.0122654i | ||||
\(953\) | −14.2040 | − | 5.50267i | −0.460113 | − | 0.178249i | 0.120018 | − | 0.992772i | \(-0.461705\pi\) |
−0.580131 | + | 0.814523i | \(0.696999\pi\) | |||||||
\(954\) | 43.6532 | + | 14.6311i | 1.41333 | + | 0.473699i | ||||
\(955\) | 4.24162 | − | 13.6975i | 0.137256 | − | 0.443240i | ||||
\(956\) | 1.74884 | − | 4.51428i | 0.0565616 | − | 0.146002i | ||||
\(957\) | 15.6915 | − | 74.3859i | 0.507235 | − | 2.40455i | ||||
\(958\) | −31.0548 | − | 39.2062i | −1.00334 | − | 1.26670i | ||||
\(959\) | 2.02175 | + | 87.5064i | 0.0652858 | + | 2.82573i | ||||
\(960\) | −36.4064 | + | 12.2022i | −1.17501 | + | 0.393824i | ||||
\(961\) | 69.1320 | + | 3.19617i | 2.23006 | + | 0.103102i | ||||
\(962\) | −0.137385 | − | 0.0988494i | −0.00442946 | − | 0.00318703i | ||||
\(963\) | 33.1045 | + | 11.9529i | 1.06678 | + | 0.385177i | ||||
\(964\) | −2.10386 | − | 1.10896i | −0.0677607 | − | 0.0357173i | ||||
\(965\) | −8.70389 | + | 4.33402i | −0.280188 | + | 0.139517i | ||||
\(966\) | −63.7405 | − | 60.8617i | −2.05082 | − | 1.95819i | ||||
\(967\) | 10.9654 | − | 46.6220i | 0.352623 | − | 1.49926i | −0.444683 | − | 0.895688i | \(-0.646684\pi\) |
0.797307 | − | 0.603574i | \(-0.206257\pi\) | |||||||
\(968\) | −4.31010 | − | 0.805698i | −0.138532 | − | 0.0258961i | ||||
\(969\) | 17.0851 | + | 21.7146i | 0.548851 | + | 0.697573i | ||||
\(970\) | −33.5385 | + | 6.26944i | −1.07686 | + | 0.201300i | ||||
\(971\) | −1.46817 | + | 31.7559i | −0.0471157 | + | 1.01910i | 0.835644 | + | 0.549272i | \(0.185095\pi\) |
−0.882760 | + | 0.469825i | \(0.844317\pi\) | |||||||
\(972\) | 4.37822 | − | 37.7381i | 0.140432 | − | 1.21045i | ||||
\(973\) | 17.7559 | + | 28.6767i | 0.569227 | + | 0.919334i | ||||
\(974\) | −0.394770 | − | 0.671762i | −0.0126492 | − | 0.0215247i | ||||
\(975\) | −0.0285029 | + | 0.0272156i | −0.000912823 | + | 0.000871596i | ||||
\(976\) | 17.8176 | − | 49.3473i | 0.570329 | − | 1.57957i | ||||
\(977\) | 5.57499 | + | 5.57499i | 0.178360 | + | 0.178360i | 0.790640 | − | 0.612281i | \(-0.209748\pi\) |
−0.612281 | + | 0.790640i | \(0.709748\pi\) | |||||||
\(978\) | −10.0680 | + | 18.0754i | −0.321938 | + | 0.577989i | ||||
\(979\) | 31.3019 | + | 8.12952i | 1.00041 | + | 0.259821i | ||||
\(980\) | −14.3934 | + | 30.6610i | −0.459780 | + | 0.979429i | ||||
\(981\) | 14.3947 | + | 39.8671i | 0.459586 | + | 1.27286i | ||||
\(982\) | −33.1041 | − | 16.4839i | −1.05639 | − | 0.526022i | ||||
\(983\) | 28.0121 | + | 38.9323i | 0.893447 | + | 1.24175i | 0.969611 | + | 0.244652i | \(0.0786738\pi\) |
−0.0761644 | + | 0.997095i | \(0.524267\pi\) | |||||||
\(984\) | −4.01464 | − | 2.23614i | −0.127982 | − | 0.0712855i | ||||
\(985\) | 11.1465 | + | 10.1614i | 0.355158 | + | 0.323770i | ||||
\(986\) | 38.6019 | + | 27.9657i | 1.22933 | + | 0.890608i | ||||
\(987\) | 69.5372 | − | 63.3915i | 2.21339 | − | 2.01777i | ||||
\(988\) | 1.49123 | − | 0.350735i | 0.0474424 | − | 0.0111584i | ||||
\(989\) | 1.87427 | + | 27.0025i | 0.0595984 | + | 0.858631i | ||||
\(990\) | 85.1733 | + | 7.89247i | 2.70698 | + | 0.250839i | ||||
\(991\) | 29.1260 | + | 9.01927i | 0.925217 | + | 0.286507i | 0.721413 | − | 0.692505i | \(-0.243493\pi\) |
0.203804 | + | 0.979012i | \(0.434669\pi\) | |||||||
\(992\) | −58.5384 | − | 50.9395i | −1.85860 | − | 1.61733i | ||||
\(993\) | 20.9108 | − | 24.0302i | 0.663584 | − | 0.762575i | ||||
\(994\) | 13.9855 | − | 41.7270i | 0.443593 | − | 1.32350i | ||||
\(995\) | 6.22318 | + | 9.08472i | 0.197288 | + | 0.288005i | ||||
\(996\) | 67.9550 | − | 7.88387i | 2.15324 | − | 0.249810i | ||||
\(997\) | −30.8970 | − | 18.1570i | −0.978519 | − | 0.575039i | −0.0720902 | − | 0.997398i | \(-0.522967\pi\) |
−0.906429 | + | 0.422359i | \(0.861202\pi\) | |||||||
\(998\) | 1.47529 | − | 3.56168i | 0.0466996 | − | 0.112743i | ||||
\(999\) | −0.135282 | − | 0.723697i | −0.00428014 | − | 0.0228967i |
(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 | 289.2.i.a.128.6 | yes | 1600 | |
289.70 | even | 136 | inner | 289.2.i.a.70.6 | ✓ | 1600 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
289.2.i.a.70.6 | ✓ | 1600 | 289.70 | even | 136 | inner | |
289.2.i.a.128.6 | yes | 1600 | 1.1 | even | 1 | trivial |