Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [512,2,Mod(5,512)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(512, base_ring=CyclotomicField(128))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("512.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 512 = 2^{9} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 512.o (of order \(128\), 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: | \(4.08834058349\) |
Analytic rank: | \(0\) |
Dimension: | \(4032\) |
Relative dimension: | \(63\) over \(\Q(\zeta_{128})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{128}]$ |
Embedding invariants
Embedding label | 149.31 | ||
Character | \(\chi\) | \(=\) | 512.149 |
Dual form | 512.2.o.a.189.31 |
$q$-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 \(\left(\mathbb{Z}/512\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{77}{128}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.127152 | + | 1.40849i | −0.0899103 | + | 0.995950i | ||||
\(3\) | −1.99778 | − | 0.346647i | −1.15342 | − | 0.200137i | −0.438093 | − | 0.898930i | \(-0.644346\pi\) |
−0.715324 | + | 0.698793i | \(0.753721\pi\) | |||||||
\(4\) | −1.96766 | − | 0.358184i | −0.983832 | − | 0.179092i | ||||
\(5\) | 0.531550 | − | 1.60903i | 0.237717 | − | 0.719578i | −0.759865 | − | 0.650080i | \(-0.774735\pi\) |
0.997582 | − | 0.0694981i | \(-0.0221398\pi\) | |||||||
\(6\) | 0.742269 | − | 2.76976i | 0.303030 | − | 1.13075i | ||||
\(7\) | −0.215121 | + | 4.37889i | −0.0813080 | + | 1.65506i | 0.518617 | + | 0.855007i | \(0.326447\pi\) |
−0.599925 | + | 0.800056i | \(0.704803\pi\) | |||||||
\(8\) | 0.754691 | − | 2.72588i | 0.266824 | − | 0.963745i | ||||
\(9\) | 1.04631 | + | 0.374377i | 0.348771 | + | 0.124792i | ||||
\(10\) | 2.19870 | + | 0.953273i | 0.695291 | + | 0.301451i | ||||
\(11\) | −5.21805 | − | 2.31300i | −1.57330 | − | 0.697396i | −0.580179 | − | 0.814489i | \(-0.697018\pi\) |
−0.993121 | + | 0.117093i | \(0.962643\pi\) | |||||||
\(12\) | 3.80679 | + | 1.39766i | 1.09893 | + | 0.403469i | ||||
\(13\) | 1.21859 | − | 1.05116i | 0.337976 | − | 0.291540i | −0.467711 | − | 0.883881i | \(-0.654921\pi\) |
0.805687 | + | 0.592341i | \(0.201796\pi\) | |||||||
\(14\) | −6.14025 | − | 0.859780i | −1.64105 | − | 0.229786i | ||||
\(15\) | −1.61968 | + | 3.03021i | −0.418200 | + | 0.782398i | ||||
\(16\) | 3.74341 | + | 1.40957i | 0.935852 | + | 0.352393i | ||||
\(17\) | 5.34592 | − | 2.85746i | 1.29658 | − | 0.693035i | 0.328694 | − | 0.944437i | \(-0.393392\pi\) |
0.967883 | + | 0.251402i | \(0.0808915\pi\) | |||||||
\(18\) | −0.660346 | + | 1.42611i | −0.155645 | + | 0.336138i | ||||
\(19\) | 5.80548 | − | 3.28876i | 1.33187 | − | 0.754494i | 0.348707 | − | 0.937232i | \(-0.386621\pi\) |
0.983162 | + | 0.182738i | \(0.0584960\pi\) | |||||||
\(20\) | −1.62224 | + | 2.97563i | −0.362744 | + | 0.665371i | ||||
\(21\) | 1.94769 | − | 8.67346i | 0.425021 | − | 1.89270i | ||||
\(22\) | 3.92132 | − | 7.05544i | 0.836027 | − | 1.50423i | ||||
\(23\) | 0.734689 | + | 2.93304i | 0.153193 | + | 0.611582i | 0.997168 | + | 0.0751998i | \(0.0239595\pi\) |
−0.843975 | + | 0.536382i | \(0.819791\pi\) | |||||||
\(24\) | −2.45262 | + | 5.18409i | −0.500640 | + | 1.05820i | ||||
\(25\) | 1.70962 | + | 1.26794i | 0.341924 | + | 0.253588i | ||||
\(26\) | 1.32560 | + | 1.85002i | 0.259972 | + | 0.362819i | ||||
\(27\) | 3.33211 | + | 1.88762i | 0.641266 | + | 0.363273i | ||||
\(28\) | 1.99173 | − | 8.53913i | 0.376402 | − | 1.61374i | ||||
\(29\) | −7.45918 | + | 0.183113i | −1.38514 | + | 0.0340032i | −0.710266 | − | 0.703934i | \(-0.751425\pi\) |
−0.674870 | + | 0.737937i | \(0.735800\pi\) | |||||||
\(30\) | −4.06207 | − | 2.66660i | −0.741629 | − | 0.486852i | ||||
\(31\) | 3.23207 | − | 2.15960i | 0.580497 | − | 0.387876i | −0.230373 | − | 0.973102i | \(-0.573995\pi\) |
0.810870 | + | 0.585227i | \(0.198995\pi\) | |||||||
\(32\) | −2.46135 | + | 5.09331i | −0.435109 | + | 0.900378i | ||||
\(33\) | 9.62270 | + | 6.42968i | 1.67510 | + | 1.11926i | ||||
\(34\) | 3.34494 | + | 7.89299i | 0.573652 | + | 1.35364i | ||||
\(35\) | 6.93139 | + | 2.67373i | 1.17162 | + | 0.451944i | ||||
\(36\) | −1.92470 | − | 1.11142i | −0.320783 | − | 0.185237i | ||||
\(37\) | 4.43867 | + | 0.547458i | 0.729713 | + | 0.0900015i | 0.478695 | − | 0.877981i | \(-0.341110\pi\) |
0.251018 | + | 0.967983i | \(0.419235\pi\) | |||||||
\(38\) | 3.89400 | + | 8.59511i | 0.631690 | + | 1.39431i | ||||
\(39\) | −2.79885 | + | 1.67757i | −0.448175 | + | 0.268626i | ||||
\(40\) | −3.98486 | − | 2.66326i | −0.630062 | − | 0.421099i | ||||
\(41\) | 6.90533 | − | 5.12134i | 1.07843 | − | 0.799819i | 0.0977070 | − | 0.995215i | \(-0.468849\pi\) |
0.980724 | + | 0.195396i | \(0.0625992\pi\) | |||||||
\(42\) | 11.9688 | + | 3.84615i | 1.84683 | + | 0.593473i | ||||
\(43\) | 3.05673 | − | 4.34022i | 0.466147 | − | 0.661878i | −0.514539 | − | 0.857467i | \(-0.672037\pi\) |
0.980686 | + | 0.195589i | \(0.0626619\pi\) | |||||||
\(44\) | 9.43889 | + | 6.42023i | 1.42297 | + | 0.967887i | ||||
\(45\) | 1.15855 | − | 1.48455i | 0.172707 | − | 0.221303i | ||||
\(46\) | −4.22457 | + | 0.661856i | −0.622879 | + | 0.0975854i | ||||
\(47\) | −0.332596 | − | 3.37690i | −0.0485140 | − | 0.492571i | −0.988485 | − | 0.151318i | \(-0.951648\pi\) |
0.939971 | − | 0.341254i | \(-0.110852\pi\) | |||||||
\(48\) | −6.98987 | − | 4.11365i | −1.00890 | − | 0.593755i | ||||
\(49\) | −12.1621 | − | 1.19786i | −1.73744 | − | 0.171123i | ||||
\(50\) | −2.00326 | + | 2.24675i | −0.283303 | + | 0.317739i | ||||
\(51\) | −11.6705 | + | 3.85541i | −1.63419 | + | 0.539865i | ||||
\(52\) | −2.77428 | + | 1.63185i | −0.384724 | + | 0.226297i | ||||
\(53\) | −2.81817 | − | 0.0691821i | −0.387105 | − | 0.00950290i | −0.169476 | − | 0.985534i | \(-0.554207\pi\) |
−0.217629 | + | 0.976031i | \(0.569832\pi\) | |||||||
\(54\) | −3.08237 | + | 4.45322i | −0.419458 | + | 0.606007i | ||||
\(55\) | −6.49534 | + | 7.16650i | −0.875831 | + | 0.966330i | ||||
\(56\) | 11.7740 | + | 3.89110i | 1.57336 | + | 0.519970i | ||||
\(57\) | −12.7381 | + | 4.55776i | −1.68720 | + | 0.603690i | ||||
\(58\) | 0.690541 | − | 10.5294i | 0.0906725 | − | 1.38258i | ||||
\(59\) | 2.99650 | − | 3.47378i | 0.390111 | − | 0.452247i | −0.527602 | − | 0.849492i | \(-0.676909\pi\) |
0.917713 | + | 0.397245i | \(0.130034\pi\) | |||||||
\(60\) | 4.27237 | − | 5.38230i | 0.551560 | − | 0.694852i | ||||
\(61\) | 9.07945 | − | 2.03886i | 1.16250 | − | 0.261049i | 0.405273 | − | 0.914196i | \(-0.367177\pi\) |
0.757231 | + | 0.653147i | \(0.226552\pi\) | |||||||
\(62\) | 2.63080 | + | 4.82692i | 0.334112 | + | 0.613020i | ||||
\(63\) | −1.86444 | + | 4.50115i | −0.234897 | + | 0.567092i | ||||
\(64\) | −6.86088 | − | 4.11440i | −0.857610 | − | 0.514300i | ||||
\(65\) | −1.04361 | − | 2.51949i | −0.129443 | − | 0.312504i | ||||
\(66\) | −10.2797 | + | 12.7359i | −1.26534 | + | 1.56768i | ||||
\(67\) | 4.07661 | + | 2.58148i | 0.498037 | + | 0.315378i | 0.760249 | − | 0.649632i | \(-0.225077\pi\) |
−0.262212 | + | 0.965010i | \(0.584452\pi\) | |||||||
\(68\) | −11.5425 | + | 3.70769i | −1.39973 | + | 0.449623i | ||||
\(69\) | −0.451014 | − | 6.11424i | −0.0542957 | − | 0.736069i | ||||
\(70\) | −4.64726 | + | 9.42280i | −0.555454 | + | 1.12624i | ||||
\(71\) | −0.0135037 | − | 0.00638677i | −0.00160259 | − | 0.000757970i | 0.426754 | − | 0.904368i | \(-0.359657\pi\) |
−0.428356 | + | 0.903610i | \(0.640907\pi\) | |||||||
\(72\) | 1.81015 | − | 2.56959i | 0.213328 | − | 0.302829i | ||||
\(73\) | −0.149835 | − | 3.04996i | −0.0175369 | − | 0.356971i | −0.991487 | − | 0.130208i | \(-0.958436\pi\) |
0.973950 | − | 0.226763i | \(-0.0728144\pi\) | |||||||
\(74\) | −1.33547 | + | 6.18219i | −0.155246 | + | 0.718665i | ||||
\(75\) | −2.97591 | − | 3.12569i | −0.343628 | − | 0.360924i | ||||
\(76\) | −12.6012 | + | 4.39175i | −1.44546 | + | 0.503768i | ||||
\(77\) | 11.2509 | − | 22.3517i | 1.28216 | − | 2.54721i | ||||
\(78\) | −2.00695 | − | 4.15545i | −0.227242 | − | 0.470512i | ||||
\(79\) | 0.269025 | + | 0.327808i | 0.0302677 | + | 0.0368813i | 0.787924 | − | 0.615772i | \(-0.211156\pi\) |
−0.757657 | + | 0.652653i | \(0.773656\pi\) | |||||||
\(80\) | 4.25785 | − | 5.27398i | 0.476042 | − | 0.589649i | ||||
\(81\) | −8.57956 | − | 7.04106i | −0.953284 | − | 0.782340i | ||||
\(82\) | 6.33531 | + | 10.3773i | 0.699618 | + | 1.14598i | ||||
\(83\) | −16.4094 | + | 2.02391i | −1.80116 | + | 0.222152i | −0.952026 | − | 0.306017i | \(-0.901004\pi\) |
−0.849139 | + | 0.528170i | \(0.822879\pi\) | |||||||
\(84\) | −6.93910 | + | 16.3688i | −0.757118 | + | 1.78599i | ||||
\(85\) | −1.75609 | − | 10.1206i | −0.190475 | − | 1.09773i | ||||
\(86\) | 5.72447 | + | 4.85723i | 0.617286 | + | 0.523769i | ||||
\(87\) | 14.9653 | + | 2.21989i | 1.60444 | + | 0.237997i | ||||
\(88\) | −10.2430 | + | 12.4782i | −1.09191 | + | 1.33018i | ||||
\(89\) | 1.15612 | − | 4.61549i | 0.122548 | − | 0.489241i | −0.877406 | − | 0.479748i | \(-0.840728\pi\) |
0.999955 | − | 0.00949320i | \(-0.00302182\pi\) | |||||||
\(90\) | 1.94365 | + | 1.82057i | 0.204879 | + | 0.191904i | ||||
\(91\) | 4.34077 | + | 5.56219i | 0.455037 | + | 0.583076i | ||||
\(92\) | −0.395051 | − | 6.03440i | −0.0411870 | − | 0.629130i | ||||
\(93\) | −7.20557 | + | 3.19401i | −0.747183 | + | 0.331204i | ||||
\(94\) | 4.79860 | − | 0.0390755i | 0.494938 | − | 0.00403034i | ||||
\(95\) | −2.20580 | − | 11.0893i | −0.226310 | − | 1.13774i | ||||
\(96\) | 6.68280 | − | 9.32207i | 0.682061 | − | 0.951429i | ||||
\(97\) | −0.0305978 | + | 0.153825i | −0.00310673 | + | 0.0156186i | −0.982308 | − | 0.187275i | \(-0.940035\pi\) |
0.979201 | + | 0.202893i | \(0.0650345\pi\) | |||||||
\(98\) | 3.23360 | − | 16.9778i | 0.326643 | − | 1.71502i | ||||
\(99\) | −4.59378 | − | 4.37364i | −0.461692 | − | 0.439567i | ||||
\(100\) | −2.90980 | − | 3.10724i | −0.290980 | − | 0.310724i | ||||
\(101\) | −5.65296 | + | 1.56438i | −0.562490 | + | 0.155662i | −0.536349 | − | 0.843996i | \(-0.680197\pi\) |
−0.0261413 | + | 0.999658i | \(0.508322\pi\) | |||||||
\(102\) | −3.94636 | − | 16.9279i | −0.390748 | − | 1.67612i | ||||
\(103\) | 0.247342 | + | 1.66745i | 0.0243714 | + | 0.164298i | 0.997945 | − | 0.0640744i | \(-0.0204095\pi\) |
−0.973574 | + | 0.228373i | \(0.926660\pi\) | |||||||
\(104\) | −1.94569 | − | 4.11503i | −0.190790 | − | 0.403512i | ||||
\(105\) | −12.9205 | − | 7.74427i | −1.26091 | − | 0.755763i | ||||
\(106\) | 0.455779 | − | 3.96055i | 0.0442691 | − | 0.384683i | ||||
\(107\) | 15.4434 | − | 9.77941i | 1.49297 | − | 0.945411i | 0.495940 | − | 0.868357i | \(-0.334824\pi\) |
0.997027 | − | 0.0770539i | \(-0.0245514\pi\) | |||||||
\(108\) | −5.88037 | − | 4.90771i | −0.565839 | − | 0.472245i | ||||
\(109\) | −2.80612 | + | 10.1400i | −0.268778 | + | 0.971239i | 0.698100 | + | 0.716000i | \(0.254029\pi\) |
−0.966878 | + | 0.255238i | \(0.917846\pi\) | |||||||
\(110\) | −9.26801 | − | 10.0598i | −0.883670 | − | 0.959167i | ||||
\(111\) | −8.67770 | − | 2.63235i | −0.823650 | − | 0.249852i | ||||
\(112\) | −6.97765 | + | 16.0887i | −0.659326 | + | 1.52024i | ||||
\(113\) | −3.09802 | − | 10.2128i | −0.291438 | − | 0.960741i | −0.973353 | − | 0.229310i | \(-0.926353\pi\) |
0.681916 | − | 0.731431i | \(-0.261147\pi\) | |||||||
\(114\) | −4.79986 | − | 18.5209i | −0.449548 | − | 1.73465i | ||||
\(115\) | 5.10987 | + | 0.376927i | 0.476498 | + | 0.0351486i | ||||
\(116\) | 14.7428 | + | 2.31146i | 1.36883 | + | 0.214614i | ||||
\(117\) | 1.66856 | − | 0.643633i | 0.154258 | − | 0.0595039i | ||||
\(118\) | 4.51175 | + | 4.66223i | 0.415341 | + | 0.429193i | ||||
\(119\) | 11.3625 | + | 24.0239i | 1.04159 | + | 2.20227i | ||||
\(120\) | 7.03765 | + | 6.70194i | 0.642447 | + | 0.611801i | ||||
\(121\) | 14.4909 | + | 15.9882i | 1.31735 | + | 1.45348i | ||||
\(122\) | 1.71723 | + | 13.0475i | 0.155471 | + | 1.18127i | ||||
\(123\) | −15.5706 | + | 7.83758i | −1.40395 | + | 0.706691i | ||||
\(124\) | −7.13317 | + | 3.09169i | −0.640577 | + | 0.277642i | ||||
\(125\) | 9.87610 | − | 6.95554i | 0.883345 | − | 0.622122i | ||||
\(126\) | −6.10274 | − | 3.19837i | −0.543675 | − | 0.284933i | ||||
\(127\) | −14.3094 | − | 14.3094i | −1.26975 | − | 1.26975i | −0.946215 | − | 0.323538i | \(-0.895128\pi\) |
−0.323538 | − | 0.946215i | \(-0.604872\pi\) | |||||||
\(128\) | 6.66745 | − | 9.14030i | 0.589325 | − | 0.807896i | ||||
\(129\) | −7.61119 | + | 7.61119i | −0.670128 | + | 0.670128i | ||||
\(130\) | 3.68136 | − | 1.14955i | 0.322876 | − | 0.100822i | ||||
\(131\) | −0.442694 | − | 0.628578i | −0.0386784 | − | 0.0549191i | 0.797784 | − | 0.602943i | \(-0.206005\pi\) |
−0.836463 | + | 0.548024i | \(0.815380\pi\) | |||||||
\(132\) | −16.6312 | − | 16.0982i | −1.44756 | − | 1.40116i | ||||
\(133\) | 13.1522 | + | 26.1290i | 1.14044 | + | 2.26567i | ||||
\(134\) | −4.15433 | + | 5.41360i | −0.358880 | + | 0.467664i | ||||
\(135\) | 4.80842 | − | 4.35809i | 0.413843 | − | 0.375085i | ||||
\(136\) | −3.75457 | − | 16.7289i | −0.321952 | − | 1.43449i | ||||
\(137\) | 7.52502 | − | 3.55907i | 0.642905 | − | 0.304072i | −0.0781577 | − | 0.996941i | \(-0.524904\pi\) |
0.721063 | + | 0.692869i | \(0.243654\pi\) | |||||||
\(138\) | 8.66917 | + | 0.142194i | 0.737969 | + | 0.0121043i | ||||
\(139\) | −2.67147 | − | 6.92553i | −0.226591 | − | 0.587415i | 0.772262 | − | 0.635305i | \(-0.219126\pi\) |
−0.998853 | + | 0.0478893i | \(0.984751\pi\) | |||||||
\(140\) | −12.6810 | − | 7.74373i | −1.07174 | − | 0.654465i | ||||
\(141\) | −0.506141 | + | 6.86158i | −0.0426247 | + | 0.577849i | ||||
\(142\) | 0.0107127 | − | 0.0182077i | 0.000898989 | − | 0.00152795i | ||||
\(143\) | −8.78999 | + | 2.66641i | −0.735056 | + | 0.222977i | ||||
\(144\) | 3.38907 | + | 2.87630i | 0.282422 | + | 0.239692i | ||||
\(145\) | −3.67030 | + | 12.0994i | −0.304802 | + | 1.00480i | ||||
\(146\) | 4.31488 | + | 0.176769i | 0.357102 | + | 0.0146295i | ||||
\(147\) | 23.8819 | + | 6.60900i | 1.96974 | + | 0.545101i | ||||
\(148\) | −8.53772 | − | 2.66708i | −0.701797 | − | 0.219232i | ||||
\(149\) | 2.13094 | + | 3.36512i | 0.174573 | + | 0.275682i | 0.920820 | − | 0.389988i | \(-0.127521\pi\) |
−0.746246 | + | 0.665670i | \(0.768146\pi\) | |||||||
\(150\) | 4.78089 | − | 3.79408i | 0.390358 | − | 0.309786i | ||||
\(151\) | −7.99710 | + | 13.3423i | −0.650794 | + | 1.08578i | 0.338656 | + | 0.940910i | \(0.390028\pi\) |
−0.989450 | + | 0.144875i | \(0.953722\pi\) | |||||||
\(152\) | −4.58344 | − | 18.3071i | −0.371766 | − | 1.48490i | ||||
\(153\) | 6.66327 | − | 0.988403i | 0.538694 | − | 0.0799077i | ||||
\(154\) | 30.0514 | + | 18.6888i | 2.42161 | + | 1.50598i | ||||
\(155\) | −1.75685 | − | 6.34842i | −0.141113 | − | 0.509918i | ||||
\(156\) | 6.10807 | − | 2.29838i | 0.489037 | − | 0.184018i | ||||
\(157\) | 16.4651 | − | 17.2939i | 1.31406 | − | 1.38020i | 0.437270 | − | 0.899330i | \(-0.355945\pi\) |
0.876791 | − | 0.480872i | \(-0.159680\pi\) | |||||||
\(158\) | −0.495920 | + | 0.337236i | −0.0394533 | + | 0.0268291i | ||||
\(159\) | 5.60609 | + | 1.11512i | 0.444592 | + | 0.0884348i | ||||
\(160\) | 6.88693 | + | 6.66772i | 0.544460 | + | 0.527130i | ||||
\(161\) | −13.0015 | + | 2.58616i | −1.02466 | + | 0.203818i | ||||
\(162\) | 11.0081 | − | 11.1889i | 0.864882 | − | 0.879083i | ||||
\(163\) | −3.45230 | − | 7.78827i | −0.270405 | − | 0.610024i | 0.726625 | − | 0.687034i | \(-0.241088\pi\) |
−0.997030 | + | 0.0770097i | \(0.975463\pi\) | |||||||
\(164\) | −15.4218 | + | 7.60370i | −1.20424 | + | 0.593749i | ||||
\(165\) | 15.4605 | − | 12.0655i | 1.20360 | − | 0.939296i | ||||
\(166\) | −0.764150 | − | 23.3697i | −0.0593095 | − | 1.81384i | ||||
\(167\) | 4.69871 | + | 1.17697i | 0.363597 | + | 0.0910764i | 0.420473 | − | 0.907305i | \(-0.361864\pi\) |
−0.0568762 | + | 0.998381i | \(0.518114\pi\) | |||||||
\(168\) | −22.1729 | − | 11.8550i | −1.71068 | − | 0.914630i | ||||
\(169\) | −1.52748 | + | 10.2974i | −0.117498 | + | 0.792110i | ||||
\(170\) | 14.4780 | − | 1.18657i | 1.11041 | − | 0.0910060i | ||||
\(171\) | 7.30559 | − | 1.26764i | 0.558672 | − | 0.0969388i | ||||
\(172\) | −7.56922 | + | 7.44523i | −0.577148 | + | 0.567694i | ||||
\(173\) | 2.99836 | + | 24.3100i | 0.227961 | + | 1.84826i | 0.475921 | + | 0.879488i | \(0.342115\pi\) |
−0.247960 | + | 0.968770i | \(0.579760\pi\) | |||||||
\(174\) | −5.02955 | + | 20.7961i | −0.381289 | + | 1.57655i | ||||
\(175\) | −5.91994 | + | 7.21346i | −0.447505 | + | 0.545287i | ||||
\(176\) | −16.2729 | − | 16.0137i | −1.22662 | − | 1.20708i | ||||
\(177\) | −7.19051 | + | 5.90110i | −0.540472 | + | 0.443554i | ||||
\(178\) | 6.35385 | + | 2.21525i | 0.476241 | + | 0.166040i | ||||
\(179\) | −10.6066 | − | 5.33889i | −0.792772 | − | 0.399048i | 0.00652932 | − | 0.999979i | \(-0.497922\pi\) |
−0.799301 | + | 0.600931i | \(0.794797\pi\) | |||||||
\(180\) | −2.81138 | + | 2.50611i | −0.209548 | + | 0.186795i | ||||
\(181\) | −9.54257 | + | 9.08528i | −0.709293 | + | 0.675303i | −0.955860 | − | 0.293822i | \(-0.905073\pi\) |
0.246567 | + | 0.969126i | \(0.420698\pi\) | |||||||
\(182\) | −8.38620 | + | 5.40667i | −0.621627 | + | 0.400769i | ||||
\(183\) | −18.8455 | + | 0.925818i | −1.39310 | + | 0.0684385i | ||||
\(184\) | 8.54960 | + | 0.210864i | 0.630285 | + | 0.0155451i | ||||
\(185\) | 3.24025 | − | 6.85094i | 0.238228 | − | 0.503691i | ||||
\(186\) | −3.58251 | − | 10.5551i | −0.262683 | − | 0.773936i | ||||
\(187\) | −34.5046 | + | 2.54521i | −2.52322 | + | 0.186124i | ||||
\(188\) | −0.555116 | + | 6.76374i | −0.0404860 | + | 0.493296i | ||||
\(189\) | −8.98248 | + | 14.1849i | −0.653379 | + | 1.03180i | ||||
\(190\) | 15.8996 | − | 1.69681i | 1.15348 | − | 0.123099i | ||||
\(191\) | 5.27467 | − | 2.18484i | 0.381662 | − | 0.158090i | −0.183600 | − | 0.983001i | \(-0.558775\pi\) |
0.565262 | + | 0.824912i | \(0.308775\pi\) | |||||||
\(192\) | 12.2803 | + | 10.5980i | 0.886252 | + | 0.764841i | ||||
\(193\) | −0.489517 | − | 0.202765i | −0.0352362 | − | 0.0145953i | 0.364996 | − | 0.931009i | \(-0.381070\pi\) |
−0.400232 | + | 0.916414i | \(0.631070\pi\) | |||||||
\(194\) | −0.212770 | − | 0.0626558i | −0.0152760 | − | 0.00449842i | ||||
\(195\) | 1.21152 | + | 5.39513i | 0.0867586 | + | 0.386353i | ||||
\(196\) | 23.5018 | + | 6.71325i | 1.67870 | + | 0.479518i | ||||
\(197\) | 5.99738 | + | 5.17338i | 0.427296 | + | 0.368588i | 0.840282 | − | 0.542149i | \(-0.182389\pi\) |
−0.412986 | + | 0.910737i | \(0.635514\pi\) | |||||||
\(198\) | 6.74432 | − | 5.91415i | 0.479298 | − | 0.420300i | ||||
\(199\) | 2.22944 | + | 6.23086i | 0.158041 | + | 0.441694i | 0.994297 | − | 0.106644i | \(-0.0340106\pi\) |
−0.836257 | + | 0.548338i | \(0.815261\pi\) | |||||||
\(200\) | 4.74649 | − | 3.70332i | 0.335627 | − | 0.261864i | ||||
\(201\) | −7.24929 | − | 6.57037i | −0.511325 | − | 0.463438i | ||||
\(202\) | −1.48463 | − | 8.16103i | −0.104458 | − | 0.574208i | ||||
\(203\) | 0.802797 | − | 32.7023i | 0.0563453 | − | 2.29525i | ||||
\(204\) | 24.3445 | − | 3.40596i | 1.70446 | − | 0.238465i | ||||
\(205\) | −4.56984 | − | 13.8331i | −0.319172 | − | 0.966146i | ||||
\(206\) | −2.38002 | + | 0.136358i | −0.165824 | + | 0.00950054i | ||||
\(207\) | −0.329349 | + | 3.34393i | −0.0228913 | + | 0.232419i | ||||
\(208\) | 6.04336 | − | 2.21724i | 0.419032 | − | 0.153738i | ||||
\(209\) | −37.9002 | + | 3.73284i | −2.62161 | + | 0.258206i | ||||
\(210\) | 12.5506 | − | 17.2137i | 0.866072 | − | 1.18786i | ||||
\(211\) | 21.7366 | + | 16.9634i | 1.49641 | + | 1.16781i | 0.942022 | + | 0.335552i | \(0.108923\pi\) |
0.554389 | + | 0.832258i | \(0.312952\pi\) | |||||||
\(212\) | 5.52043 | + | 1.14555i | 0.379145 | + | 0.0786768i | ||||
\(213\) | 0.0247634 | + | 0.0174403i | 0.00169676 | + | 0.00119499i | ||||
\(214\) | 11.8105 | + | 22.9952i | 0.807349 | + | 1.57192i | ||||
\(215\) | −5.35873 | − | 7.22541i | −0.365462 | − | 0.492769i | ||||
\(216\) | 7.66015 | − | 7.65839i | 0.521207 | − | 0.521087i | ||||
\(217\) | 8.76136 | + | 14.6174i | 0.594760 | + | 0.992297i | ||||
\(218\) | −13.9253 | − | 5.24171i | −0.943139 | − | 0.355014i | ||||
\(219\) | −0.757923 | + | 6.14508i | −0.0512157 | + | 0.415246i | ||||
\(220\) | 15.3476 | − | 11.7747i | 1.03473 | − | 0.793853i | ||||
\(221\) | 3.51083 | − | 9.10149i | 0.236164 | − | 0.612233i | ||||
\(222\) | 4.81102 | − | 11.8877i | 0.322894 | − | 0.797850i | ||||
\(223\) | 11.2659 | − | 16.8606i | 0.754422 | − | 1.12907i | −0.233232 | − | 0.972421i | \(-0.574930\pi\) |
0.987654 | − | 0.156651i | \(-0.0500698\pi\) | |||||||
\(224\) | −21.7735 | − | 11.8736i | −1.45480 | − | 0.793341i | ||||
\(225\) | 1.31411 | + | 1.96670i | 0.0876073 | + | 0.131114i | ||||
\(226\) | 14.7785 | − | 3.06494i | 0.983053 | − | 0.203877i | ||||
\(227\) | −0.224295 | − | 9.13677i | −0.0148870 | − | 0.606429i | −0.960050 | − | 0.279829i | \(-0.909722\pi\) |
0.945163 | − | 0.326599i | \(-0.105903\pi\) | |||||||
\(228\) | 26.6968 | − | 4.40556i | 1.76804 | − | 0.291765i | ||||
\(229\) | 4.43446 | − | 7.82792i | 0.293037 | − | 0.517283i | −0.684237 | − | 0.729259i | \(-0.739865\pi\) |
0.977275 | + | 0.211976i | \(0.0679898\pi\) | |||||||
\(230\) | −1.18063 | + | 7.14925i | −0.0778483 | + | 0.471408i | ||||
\(231\) | −30.2249 | + | 40.7535i | −1.98865 | + | 2.68139i | ||||
\(232\) | −5.13023 | + | 20.4711i | −0.336816 | + | 1.34399i | ||||
\(233\) | −7.76521 | + | 1.94508i | −0.508716 | + | 0.127427i | −0.488836 | − | 0.872376i | \(-0.662578\pi\) |
−0.0198798 | + | 0.999802i | \(0.506328\pi\) | |||||||
\(234\) | 0.694387 | + | 2.43198i | 0.0453935 | + | 0.158983i | ||||
\(235\) | −5.61031 | − | 1.25984i | −0.365976 | − | 0.0821827i | ||||
\(236\) | −7.14036 | + | 5.76193i | −0.464798 | + | 0.375070i | ||||
\(237\) | −0.423818 | − | 0.748144i | −0.0275299 | − | 0.0485971i | ||||
\(238\) | −35.2821 | + | 12.9492i | −2.28700 | + | 0.839369i | ||||
\(239\) | −3.35370 | − | 6.27434i | −0.216933 | − | 0.405853i | 0.749791 | − | 0.661675i | \(-0.230154\pi\) |
−0.966724 | + | 0.255822i | \(0.917654\pi\) | |||||||
\(240\) | −10.3344 | + | 9.06026i | −0.667085 | + | 0.584837i | ||||
\(241\) | 1.88351 | + | 1.00676i | 0.121328 | + | 0.0648511i | 0.530944 | − | 0.847407i | \(-0.321837\pi\) |
−0.409616 | + | 0.912258i | \(0.634337\pi\) | |||||||
\(242\) | −24.3618 | + | 18.3773i | −1.56603 | + | 1.18134i | ||||
\(243\) | 7.19504 | + | 8.34105i | 0.461562 | + | 0.535079i | ||||
\(244\) | −18.5956 | + | 0.759672i | −1.19046 | + | 0.0486330i | ||||
\(245\) | −8.39214 | + | 18.9324i | −0.536154 | + | 1.20954i | ||||
\(246\) | −9.05929 | − | 22.9275i | −0.577599 | − | 1.46181i | ||||
\(247\) | 3.61747 | − | 10.1101i | 0.230174 | − | 0.643293i | ||||
\(248\) | −3.44761 | − | 10.4401i | −0.218923 | − | 0.662946i | ||||
\(249\) | 33.4839 | + | 1.64496i | 2.12195 | + | 0.104245i | ||||
\(250\) | 8.54100 | + | 14.7948i | 0.540181 | + | 0.935703i | ||||
\(251\) | 0.847825 | + | 0.280083i | 0.0535142 | + | 0.0176787i | 0.340314 | − | 0.940312i | \(-0.389467\pi\) |
−0.286800 | + | 0.957990i | \(0.592592\pi\) | |||||||
\(252\) | 5.28083 | − | 8.18894i | 0.332661 | − | 0.515855i | ||||
\(253\) | 2.95049 | − | 17.0041i | 0.185496 | − | 1.06904i | ||||
\(254\) | 21.9741 | − | 18.3351i | 1.37877 | − | 1.15045i | ||||
\(255\) | 20.8275i | 1.30427i | ||||||||
\(256\) | 12.0262 | + | 10.5532i | 0.751638 | + | 0.659576i | ||||
\(257\) | 28.9612i | 1.80655i | 0.429061 | + | 0.903275i | \(0.358844\pi\) | ||||
−0.429061 | + | 0.903275i | \(0.641156\pi\) | |||||||
\(258\) | −9.75247 | − | 11.6880i | −0.607162 | − | 0.727665i | ||||
\(259\) | −3.35211 | + | 19.3187i | −0.208290 | + | 1.20040i | ||||
\(260\) | 1.15102 | + | 5.33131i | 0.0713835 | + | 0.330634i | ||||
\(261\) | −7.87320 | − | 2.60095i | −0.487339 | − | 0.160995i | ||||
\(262\) | 0.941632 | − | 0.543604i | 0.0581742 | − | 0.0335839i | ||||
\(263\) | 30.8374 | + | 1.51494i | 1.90152 | + | 0.0934154i | 0.965792 | − | 0.259319i | \(-0.0834981\pi\) |
0.935723 | + | 0.352734i | \(0.114748\pi\) | |||||||
\(264\) | 24.7887 | − | 21.3779i | 1.52564 | − | 1.31572i | ||||
\(265\) | −1.60931 | + | 4.49773i | −0.0988594 | + | 0.276293i | ||||
\(266\) | −38.4747 | + | 15.2024i | −2.35903 | + | 0.932118i | ||||
\(267\) | −3.90961 | + | 8.81995i | −0.239265 | + | 0.539772i | ||||
\(268\) | −7.09675 | − | 6.53967i | −0.433503 | − | 0.399474i | ||||
\(269\) | 4.80317 | + | 5.56820i | 0.292854 | + | 0.339499i | 0.884364 | − | 0.466799i | \(-0.154593\pi\) |
−0.591509 | + | 0.806298i | \(0.701468\pi\) | |||||||
\(270\) | 5.52691 | + | 7.32673i | 0.336357 | + | 0.445890i | ||||
\(271\) | 14.7055 | + | 7.86027i | 0.893297 | + | 0.477477i | 0.853120 | − | 0.521715i | \(-0.174708\pi\) |
0.0401775 | + | 0.999193i | \(0.487208\pi\) | |||||||
\(272\) | 24.0398 | − | 3.16115i | 1.45762 | − | 0.191673i | ||||
\(273\) | −6.74378 | − | 12.6167i | −0.408152 | − | 0.763599i | ||||
\(274\) | 4.05607 | + | 11.0514i | 0.245036 | + | 0.667641i | ||||
\(275\) | −5.98812 | − | 10.5705i | −0.361097 | − | 0.637426i | ||||
\(276\) | −1.30258 | + | 12.1923i | −0.0784063 | + | 0.733892i | ||||
\(277\) | −7.15395 | − | 1.60647i | −0.429839 | − | 0.0965236i | −0.00119970 | − | 0.999999i | \(-0.500382\pi\) |
−0.428639 | + | 0.903476i | \(0.641007\pi\) | |||||||
\(278\) | 10.0942 | − | 2.88213i | 0.605409 | − | 0.172859i | ||||
\(279\) | 4.19026 | − | 1.04961i | 0.250864 | − | 0.0628383i | ||||
\(280\) | 12.5193 | − | 16.8763i | 0.748174 | − | 1.00855i | ||||
\(281\) | 14.4552 | − | 19.4906i | 0.862324 | − | 1.16271i | −0.123067 | − | 0.992398i | \(-0.539273\pi\) |
0.985390 | − | 0.170311i | \(-0.0544771\pi\) | |||||||
\(282\) | −9.60008 | − | 1.58536i | −0.571677 | − | 0.0944067i | ||||
\(283\) | −9.34135 | + | 16.4898i | −0.555286 | + | 0.980217i | 0.441277 | + | 0.897371i | \(0.354526\pi\) |
−0.996562 | + | 0.0828455i | \(0.973599\pi\) | |||||||
\(284\) | 0.0242831 | + | 0.0174038i | 0.00144094 | + | 0.00103273i | ||||
\(285\) | 0.562620 | + | 22.9186i | 0.0333267 | + | 1.35758i | ||||
\(286\) | −2.63794 | − | 12.7196i | −0.155985 | − | 0.752127i | ||||
\(287\) | 20.9403 | + | 31.3394i | 1.23607 | + | 1.84990i | ||||
\(288\) | −4.48216 | + | 4.40772i | −0.264114 | + | 0.259728i | ||||
\(289\) | 10.9691 | − | 16.4165i | 0.645244 | − | 0.965676i | ||||
\(290\) | −16.5751 | − | 6.70803i | −0.973323 | − | 0.393909i | ||||
\(291\) | 0.114451 | − | 0.296702i | 0.00670922 | − | 0.0173930i | ||||
\(292\) | −0.797624 | + | 6.05497i | −0.0466774 | + | 0.354340i | ||||
\(293\) | −0.766816 | + | 6.21718i | −0.0447979 | + | 0.363211i | 0.953324 | + | 0.301950i | \(0.0976375\pi\) |
−0.998122 | + | 0.0612618i | \(0.980488\pi\) | |||||||
\(294\) | −12.3453 | + | 32.7969i | −0.719994 | + | 1.91276i | ||||
\(295\) | −3.99661 | − | 6.66794i | −0.232691 | − | 0.388222i | ||||
\(296\) | 4.84213 | − | 11.6861i | 0.281443 | − | 0.679243i | ||||
\(297\) | −13.0211 | − | 17.5569i | −0.755559 | − | 1.01875i | ||||
\(298\) | −5.01068 | + | 2.57352i | −0.290261 | + | 0.149080i | ||||
\(299\) | 3.97839 | + | 2.80190i | 0.230076 | + | 0.162038i | ||||
\(300\) | 4.73601 | + | 7.21624i | 0.273434 | + | 0.416630i | ||||
\(301\) | 18.3478 | + | 14.3187i | 1.05755 | + | 0.825319i | ||||
\(302\) | −17.7757 | − | 12.9603i | −1.02287 | − | 0.745782i | ||||
\(303\) | 11.8356 | − | 1.16571i | 0.679939 | − | 0.0669682i | ||||
\(304\) | 26.3680 | − | 4.12793i | 1.51231 | − | 0.236753i | ||||
\(305\) | 1.54561 | − | 15.6928i | 0.0885013 | − | 0.898568i | ||||
\(306\) | 0.544901 | + | 9.51081i | 0.0311499 | + | 0.543697i | ||||
\(307\) | −10.0877 | − | 30.5359i | −0.575735 | − | 1.74277i | −0.665079 | − | 0.746773i | \(-0.731602\pi\) |
0.0893438 | − | 0.996001i | \(-0.471523\pi\) | |||||||
\(308\) | −30.1440 | + | 39.9507i | −1.71761 | + | 2.27640i | ||||
\(309\) | 0.0838808 | − | 3.41692i | 0.00477181 | − | 0.194382i | ||||
\(310\) | 9.16505 | − | 1.66728i | 0.520540 | − | 0.0946949i | ||||
\(311\) | 2.03080 | + | 1.84061i | 0.115156 | + | 0.104371i | 0.727106 | − | 0.686525i | \(-0.240865\pi\) |
−0.611950 | + | 0.790896i | \(0.709615\pi\) | |||||||
\(312\) | 2.46058 | + | 8.89538i | 0.139303 | + | 0.503602i | ||||
\(313\) | −7.19177 | − | 20.0997i | −0.406503 | − | 1.13610i | −0.954134 | − | 0.299380i | \(-0.903220\pi\) |
0.547631 | − | 0.836720i | \(-0.315530\pi\) | |||||||
\(314\) | 22.2646 | + | 25.3899i | 1.25646 | + | 1.43283i | ||||
\(315\) | 6.25143 | + | 5.39252i | 0.352228 | + | 0.303834i | ||||
\(316\) | −0.411935 | − | 0.741377i | −0.0231732 | − | 0.0417057i | ||||
\(317\) | 4.07077 | + | 18.1280i | 0.228637 | + | 1.01817i | 0.946681 | + | 0.322171i | \(0.104413\pi\) |
−0.718044 | + | 0.695998i | \(0.754962\pi\) | |||||||
\(318\) | −2.28346 | + | 7.75430i | −0.128050 | + | 0.434840i | ||||
\(319\) | 39.3459 | + | 16.2976i | 2.20295 | + | 0.912491i | ||||
\(320\) | −10.2671 | + | 8.85233i | −0.573947 | + | 0.494860i | ||||
\(321\) | −34.2424 | + | 14.1837i | −1.91122 | + | 0.791655i | ||||
\(322\) | −1.98940 | − | 18.6413i | −0.110865 | − | 1.03884i | ||||
\(323\) | 21.6381 | − | 34.1704i | 1.20398 | − | 1.90129i | ||||
\(324\) | 14.3597 | + | 16.9275i | 0.797761 | + | 0.940417i | ||||
\(325\) | 3.41613 | − | 0.251989i | 0.189493 | − | 0.0139778i | ||||
\(326\) | 11.4086 | − | 3.87222i | 0.631866 | − | 0.214463i | ||||
\(327\) | 9.12102 | − | 19.2848i | 0.504393 | − | 1.06645i | ||||
\(328\) | −8.74879 | − | 22.6882i | −0.483071 | − | 1.25274i | ||||
\(329\) | 14.8586 | − | 0.729956i | 0.819181 | − | 0.0402438i | ||||
\(330\) | 15.0282 | + | 23.3100i | 0.827276 | + | 1.28317i | ||||
\(331\) | −12.0315 | + | 11.4550i | −0.661312 | + | 0.629622i | −0.944138 | − | 0.329549i | \(-0.893103\pi\) |
0.282826 | + | 0.959171i | \(0.408728\pi\) | |||||||
\(332\) | 33.0131 | + | 1.89522i | 1.81183 | + | 0.104014i | ||||
\(333\) | 4.43928 | + | 2.23455i | 0.243271 | + | 0.122452i | ||||
\(334\) | −2.25519 | + | 6.46841i | −0.123399 | + | 0.353936i | ||||
\(335\) | 6.32060 | − | 5.18718i | 0.345331 | − | 0.283406i | ||||
\(336\) | 19.5169 | − | 29.7229i | 1.06473 | − | 1.62152i | ||||
\(337\) | −6.89416 | + | 8.40056i | −0.375549 | + | 0.457608i | −0.926147 | − | 0.377163i | \(-0.876900\pi\) |
0.550598 | + | 0.834770i | \(0.314400\pi\) | |||||||
\(338\) | −14.3096 | − | 3.46077i | −0.778337 | − | 0.188241i | ||||
\(339\) | 2.64892 | + | 21.4768i | 0.143869 | + | 1.16646i | ||||
\(340\) | −0.169644 | + | 20.5430i | −0.00920026 | + | 1.11410i | ||||
\(341\) | −21.8603 | + | 3.79311i | −1.18380 | + | 0.205409i | ||||
\(342\) | 0.856530 | + | 10.4510i | 0.0463158 | + | 0.565125i | ||||
\(343\) | 3.35857 | − | 22.6416i | 0.181346 | − | 1.22253i | ||||
\(344\) | −9.52406 | − | 11.6078i | −0.513503 | − | 0.625852i | ||||
\(345\) | −10.0777 | − | 2.52434i | −0.542566 | − | 0.135906i | ||||
\(346\) | −34.6216 | + | 1.13207i | −1.86127 | + | 0.0608602i | ||||
\(347\) | −12.2378 | + | 9.55049i | −0.656960 | + | 0.512697i | −0.887761 | − | 0.460304i | \(-0.847740\pi\) |
0.230801 | + | 0.973001i | \(0.425865\pi\) | |||||||
\(348\) | −28.6515 | − | 9.72831i | −1.53588 | − | 0.521492i | ||||
\(349\) | −0.623443 | − | 1.40647i | −0.0333722 | − | 0.0752864i | 0.896748 | − | 0.442541i | \(-0.145923\pi\) |
−0.930121 | + | 0.367254i | \(0.880298\pi\) | |||||||
\(350\) | −9.40733 | − | 9.25535i | −0.502843 | − | 0.494719i | ||||
\(351\) | 6.04467 | − | 1.20236i | 0.322641 | − | 0.0641772i | ||||
\(352\) | 24.6243 | − | 20.8840i | 1.31248 | − | 1.11312i | ||||
\(353\) | 21.4413 | + | 4.26494i | 1.14121 | + | 0.227000i | 0.729278 | − | 0.684217i | \(-0.239856\pi\) |
0.411927 | + | 0.911217i | \(0.364856\pi\) | |||||||
\(354\) | −7.39733 | − | 10.8781i | −0.393163 | − | 0.578163i | ||||
\(355\) | −0.0174544 | + | 0.0183329i | −0.000926381 | + | 0.000973009i | ||||
\(356\) | −3.92805 | + | 8.66763i | −0.208186 | + | 0.459384i | ||||
\(357\) | −14.3718 | − | 51.9331i | −0.760638 | − | 2.74859i | ||||
\(358\) | 8.86841 | − | 14.2603i | 0.468710 | − | 0.753682i | ||||
\(359\) | 12.8548 | − | 1.90683i | 0.678451 | − | 0.100639i | 0.201393 | − | 0.979511i | \(-0.435453\pi\) |
0.477058 | + | 0.878872i | \(0.341703\pi\) | |||||||
\(360\) | −3.17235 | − | 4.27845i | −0.167198 | − | 0.225494i | ||||
\(361\) | 13.1197 | − | 21.8889i | 0.690509 | − | 1.15204i | ||||
\(362\) | −11.5831 | − | 14.5958i | −0.608796 | − | 0.767137i | ||||
\(363\) | −23.4073 | − | 36.9641i | −1.22856 | − | 1.94011i | ||||
\(364\) | −6.54890 | − | 12.4993i | −0.343256 | − | 0.655142i | ||||
\(365\) | −4.98711 | − | 1.38012i | −0.261037 | − | 0.0722388i | ||||
\(366\) | 1.09224 | − | 26.6613i | 0.0570924 | − | 1.39361i | ||||
\(367\) | −0.877946 | + | 2.89420i | −0.0458284 | + | 0.151076i | −0.976869 | − | 0.213841i | \(-0.931403\pi\) |
0.931040 | + | 0.364917i | \(0.118903\pi\) | |||||||
\(368\) | −1.38410 | + | 12.0152i | −0.0721512 | + | 0.626335i | ||||
\(369\) | 9.14245 | − | 2.77333i | 0.475937 | − | 0.144374i | ||||
\(370\) | 9.23744 | + | 5.43496i | 0.480232 | + | 0.282550i | ||||
\(371\) | 0.909187 | − | 12.3256i | 0.0472027 | − | 0.639911i | ||||
\(372\) | 15.3222 | − | 3.70382i | 0.794419 | − | 0.192034i | ||||
\(373\) | −2.08574 | − | 5.40707i | −0.107995 | − | 0.279968i | 0.868434 | − | 0.495805i | \(-0.165127\pi\) |
−0.976429 | + | 0.215837i | \(0.930752\pi\) | |||||||
\(374\) | 0.802444 | − | 48.9228i | 0.0414934 | − | 2.52974i | ||||
\(375\) | −22.1414 | + | 10.4721i | −1.14337 | + | 0.540776i | ||||
\(376\) | −9.45604 | − | 1.64190i | −0.487658 | − | 0.0846744i | ||||
\(377\) | −8.89720 | + | 8.06395i | −0.458229 | + | 0.415314i | ||||
\(378\) | −18.8371 | − | 14.4553i | −0.968874 | − | 0.743502i | ||||
\(379\) | −5.92386 | − | 11.7687i | −0.304288 | − | 0.604517i | 0.688385 | − | 0.725345i | \(-0.258320\pi\) |
−0.992673 | + | 0.120829i | \(0.961445\pi\) | |||||||
\(380\) | 0.368258 | + | 22.6101i | 0.0188912 | + | 1.15988i | ||||
\(381\) | 23.6267 | + | 33.5473i | 1.21043 | + | 1.71868i | ||||
\(382\) | 2.40663 | + | 7.70711i | 0.123134 | + | 0.394330i | ||||
\(383\) | 9.06372 | − | 9.06372i | 0.463134 | − | 0.463134i | −0.436547 | − | 0.899681i | \(-0.643799\pi\) |
0.899681 | + | 0.436547i | \(0.143799\pi\) | |||||||
\(384\) | −16.4885 | + | 15.9490i | −0.841427 | + | 0.813895i | ||||
\(385\) | −29.9840 | − | 29.9840i | −1.52813 | − | 1.52813i | ||||
\(386\) | 0.347834 | − | 0.663696i | 0.0177043 | − | 0.0337812i | ||||
\(387\) | 4.82318 | − | 3.39686i | 0.245176 | − | 0.172672i | ||||
\(388\) | 0.115304 | − | 0.291717i | 0.00585368 | − | 0.0148097i | ||||
\(389\) | 14.6766 | − | 7.38756i | 0.744131 | − | 0.374564i | −0.0366833 | − | 0.999327i | \(-0.511679\pi\) |
0.780815 | + | 0.624763i | \(0.214804\pi\) | |||||||
\(390\) | −7.75302 | + | 1.02040i | −0.392589 | + | 0.0516701i | ||||
\(391\) | 12.3086 | + | 13.5805i | 0.622475 | + | 0.686795i | ||||
\(392\) | −12.4438 | + | 32.2484i | −0.628508 | + | 1.62879i | ||||
\(393\) | 0.666510 | + | 1.40922i | 0.0336210 | + | 0.0710856i | ||||
\(394\) | −8.04921 | + | 7.78942i | −0.405513 | + | 0.392425i | ||||
\(395\) | 0.670452 | − | 0.258622i | 0.0337341 | − | 0.0130127i | ||||
\(396\) | 7.47244 | + | 10.2513i | 0.375504 | + | 0.515146i | ||||
\(397\) | 11.8085 | + | 0.871045i | 0.592650 | + | 0.0437165i | 0.366567 | − | 0.930392i | \(-0.380533\pi\) |
0.226083 | + | 0.974108i | \(0.427408\pi\) | |||||||
\(398\) | −9.05955 | + | 2.34786i | −0.454114 | + | 0.117688i | ||||
\(399\) | −17.2177 | − | 56.7591i | −0.861962 | − | 2.84151i | ||||
\(400\) | 4.61254 | + | 7.15625i | 0.230627 | + | 0.357812i | ||||
\(401\) | 1.09186 | + | 0.331211i | 0.0545247 | + | 0.0165399i | 0.317429 | − | 0.948282i | \(-0.397180\pi\) |
−0.262905 | + | 0.964822i | \(0.584680\pi\) | |||||||
\(402\) | 10.1760 | − | 9.37508i | 0.507535 | − | 0.467587i | ||||
\(403\) | 1.66848 | − | 6.02909i | 0.0831127 | − | 0.300331i | ||||
\(404\) | 11.6835 | − | 1.05338i | 0.581274 | − | 0.0524077i | ||||
\(405\) | −15.8897 | + | 10.0621i | −0.789567 | + | 0.499988i | ||||
\(406\) | 45.9587 | + | 5.28890i | 2.28089 | + | 0.262484i | ||||
\(407\) | −21.8949 | − | 13.1233i | −1.08529 | − | 0.650498i | ||||
\(408\) | 1.70178 | + | 34.7220i | 0.0842509 | + | 1.71900i | ||||
\(409\) | −0.0495438 | − | 0.333997i | −0.00244979 | − | 0.0165151i | 0.987917 | − | 0.154983i | \(-0.0495323\pi\) |
−0.990367 | + | 0.138468i | \(0.955782\pi\) | |||||||
\(410\) | 20.0648 | − | 4.67765i | 0.990930 | − | 0.231012i | ||||
\(411\) | −16.2670 | + | 4.50170i | −0.802394 | + | 0.222052i | ||||
\(412\) | 0.110567 | − | 3.36957i | 0.00544723 | − | 0.166007i | ||||
\(413\) | 14.5667 | + | 13.8686i | 0.716779 | + | 0.682430i | ||||
\(414\) | −4.66801 | − | 0.889072i | −0.229420 | − | 0.0436955i | ||||
\(415\) | −5.46590 | + | 27.4790i | −0.268311 | + | 1.34889i | ||||
\(416\) | 2.35452 | + | 8.79392i | 0.115440 | + | 0.431157i | ||||
\(417\) | 2.93629 | + | 14.7617i | 0.143791 | + | 0.722884i | ||||
\(418\) | −0.438559 | − | 53.8565i | −0.0214506 | − | 2.63421i | ||||
\(419\) | 14.0092 | − | 6.20984i | 0.684393 | − | 0.303371i | −0.0335855 | − | 0.999436i | \(-0.510693\pi\) |
0.717978 | + | 0.696065i | \(0.245068\pi\) | |||||||
\(420\) | 22.6494 | + | 19.8661i | 1.10518 | + | 0.969364i | ||||
\(421\) | −15.9412 | − | 20.4267i | −0.776925 | − | 0.995538i | −0.999786 | − | 0.0206875i | \(-0.993414\pi\) |
0.222861 | − | 0.974850i | \(-0.428461\pi\) | |||||||
\(422\) | −26.6566 | + | 28.4588i | −1.29762 | + | 1.38535i | ||||
\(423\) | 0.916234 | − | 3.65781i | 0.0445488 | − | 0.177849i | ||||
\(424\) | −2.31543 | + | 7.62979i | −0.112447 | + | 0.370535i | ||||
\(425\) | 12.7626 | + | 1.89315i | 0.619075 | + | 0.0918312i | ||||
\(426\) | −0.0277132 | + | 0.0326613i | −0.00134271 | + | 0.00158244i | ||||
\(427\) | 6.97475 | + | 40.1965i | 0.337532 | + | 1.94524i | ||||
\(428\) | −33.8902 | + | 13.7110i | −1.63814 | + | 0.662747i | ||||
\(429\) | 18.4847 | − | 2.27988i | 0.892452 | − | 0.110073i | ||||
\(430\) | 10.8583 | − | 6.62897i | 0.523632 | − | 0.319677i | ||||
\(431\) | −5.16956 | − | 4.24255i | −0.249009 | − | 0.204357i | 0.501606 | − | 0.865096i | \(-0.332743\pi\) |
−0.750615 | + | 0.660740i | \(0.770243\pi\) | |||||||
\(432\) | 9.81272 | + | 11.7630i | 0.472115 | + | 0.565947i | ||||
\(433\) | 5.11702 | + | 6.23511i | 0.245908 | + | 0.299640i | 0.881307 | − | 0.472544i | \(-0.156664\pi\) |
−0.635399 | + | 0.772184i | \(0.719164\pi\) | |||||||
\(434\) | −21.7025 | + | 10.4816i | −1.04175 | + | 0.503133i | ||||
\(435\) | 11.5266 | − | 22.8995i | 0.552660 | − | 1.09795i | ||||
\(436\) | 9.15351 | − | 18.9471i | 0.438374 | − | 0.907400i | ||||
\(437\) | 13.9113 | + | 14.6115i | 0.665468 | + | 0.698963i | ||||
\(438\) | −8.55889 | − | 1.84889i | −0.408959 | − | 0.0883432i | ||||
\(439\) | −1.12760 | − | 22.9528i | −0.0538173 | − | 1.09548i | −0.862118 | − | 0.506707i | \(-0.830862\pi\) |
0.808301 | − | 0.588770i | \(-0.200388\pi\) | |||||||
\(440\) | 14.6331 | + | 23.1140i | 0.697604 | + | 1.10192i | ||||
\(441\) | −12.2769 | − | 5.80653i | −0.584614 | − | 0.276502i | ||||
\(442\) | 12.3729 | + | 6.10223i | 0.588519 | + | 0.290254i | ||||
\(443\) | −1.44630 | − | 19.6070i | −0.0687156 | − | 0.931555i | −0.916197 | − | 0.400729i | \(-0.868757\pi\) |
0.847481 | − | 0.530826i | \(-0.178118\pi\) | |||||||
\(444\) | 16.1319 | + | 8.28780i | 0.765587 | + | 0.393321i | ||||
\(445\) | −6.81191 | − | 4.31359i | −0.322915 | − | 0.204484i | ||||
\(446\) | 22.3155 | + | 18.0118i | 1.05667 | + | 0.852882i | ||||
\(447\) | −3.09063 | − | 7.46145i | −0.146182 | − | 0.352914i | ||||
\(448\) | 19.4924 | − | 29.1579i | 0.920929 | − | 1.37758i | ||||
\(449\) | −6.88001 | + | 16.6098i | −0.324688 | + | 0.783866i | 0.674281 | + | 0.738475i | \(0.264454\pi\) |
−0.998969 | + | 0.0453914i | \(0.985546\pi\) | |||||||
\(450\) | −2.93717 | + | 1.60083i | −0.138459 | + | 0.0754640i | ||||
\(451\) | −47.8780 | + | 10.7514i | −2.25449 | + | 0.506262i | ||||
\(452\) | 2.43780 | + | 21.2051i | 0.114664 | + | 0.997402i | ||||
\(453\) | 20.6015 | − | 23.8829i | 0.967943 | − | 1.12211i | ||||
\(454\) | 12.8975 | + | 0.845845i | 0.605311 | + | 0.0396975i | ||||
\(455\) | 11.2570 | − | 4.02784i | 0.527738 | − | 0.188828i | ||||
\(456\) | 2.81061 | + | 38.1622i | 0.131619 | + | 1.78711i | ||||
\(457\) | −10.9235 | + | 12.0522i | −0.510980 | + | 0.563780i | −0.940725 | − | 0.339171i | \(-0.889854\pi\) |
0.429745 | + | 0.902950i | \(0.358604\pi\) | |||||||
\(458\) | 10.4617 | + | 7.24121i | 0.488841 | + | 0.338360i | ||||
\(459\) | 23.2070 | + | 0.569700i | 1.08321 | + | 0.0265913i | ||||
\(460\) | −9.91950 | − | 2.57194i | −0.462499 | − | 0.119917i | ||||
\(461\) | −31.0351 | + | 10.2526i | −1.44545 | + | 0.477512i | −0.926175 | − | 0.377094i | \(-0.876923\pi\) |
−0.519276 | + | 0.854607i | \(0.673798\pi\) | |||||||
\(462\) | −53.5576 | − | 47.7532i | −2.49173 | − | 2.22168i | ||||
\(463\) | −17.5608 | − | 1.72959i | −0.816122 | − | 0.0803810i | −0.318662 | − | 0.947868i | \(-0.603234\pi\) |
−0.497459 | + | 0.867487i | \(0.665734\pi\) | |||||||
\(464\) | −28.1809 | − | 9.82881i | −1.30826 | − | 0.456291i | ||||
\(465\) | 1.30912 | + | 13.2917i | 0.0607091 | + | 0.616389i | ||||
\(466\) | −1.75226 | − | 11.1845i | −0.0811718 | − | 0.518112i | ||||
\(467\) | −24.1253 | + | 30.9137i | −1.11639 | + | 1.43052i | −0.226688 | + | 0.973968i | \(0.572790\pi\) |
−0.889698 | + | 0.456549i | \(0.849085\pi\) | |||||||
\(468\) | −3.51370 | + | 0.668803i | −0.162421 | + | 0.0309154i | ||||
\(469\) | −12.1810 | + | 17.2957i | −0.562466 | + | 0.798640i | ||||
\(470\) | 2.48783 | − | 7.74185i | 0.114755 | − | 0.357105i | ||||
\(471\) | −38.8885 | + | 28.8417i | −1.79189 | + | 1.32896i | ||||
\(472\) | −7.20768 | − | 10.7897i | −0.331760 | − | 0.496638i | ||||
\(473\) | −25.9891 | + | 15.5773i | −1.19498 | + | 0.716244i | ||||
\(474\) | 1.10764 | − | 0.501814i | 0.0508755 | − | 0.0230491i | ||||
\(475\) | 14.0951 | + | 1.73847i | 0.646728 | + | 0.0797663i | ||||
\(476\) | −13.7525 | − | 51.3408i | −0.630345 | − | 2.35320i | ||||
\(477\) | −2.92279 | − | 1.12744i | −0.133825 | − | 0.0516221i | ||||
\(478\) | 9.26374 | − | 3.92585i | 0.423714 | − | 0.179564i | ||||
\(479\) | −26.9670 | − | 18.0188i | −1.23215 | − | 0.823299i | −0.242978 | − | 0.970032i | \(-0.578124\pi\) |
−0.989176 | + | 0.146733i | \(0.953124\pi\) | |||||||
\(480\) | −11.4472 | − | 15.7080i | −0.522491 | − | 0.716967i | ||||
\(481\) | 5.98438 | − | 3.99863i | 0.272864 | − | 0.182322i | ||||
\(482\) | −1.65750 | + | 2.52489i | −0.0754970 | + | 0.115006i | ||||
\(483\) | 26.8706 | − | 0.659636i | 1.22265 | − | 0.0300145i | ||||
\(484\) | −22.7865 | − | 36.6499i | −1.03575 | − | 1.66590i | ||||
\(485\) | 0.231245 | + | 0.130999i | 0.0105003 | + | 0.00594834i | ||||
\(486\) | −12.6631 | + | 9.07353i | −0.574411 | + | 0.411583i | ||||
\(487\) | 20.5224 | + | 15.2204i | 0.929957 | + | 0.689703i | 0.950710 | − | 0.310082i | \(-0.100356\pi\) |
−0.0207532 | + | 0.999785i | \(0.506606\pi\) | |||||||
\(488\) | 1.29449 | − | 26.2882i | 0.0585986 | − | 1.19001i | ||||
\(489\) | 4.19715 | + | 16.7560i | 0.189802 | + | 0.757730i | ||||
\(490\) | −25.5989 | − | 14.2275i | −1.15644 | − | 0.642733i | ||||
\(491\) | 6.03603 | − | 26.8797i | 0.272402 | − | 1.21306i | −0.628072 | − | 0.778155i | \(-0.716156\pi\) |
0.900475 | − | 0.434908i | \(-0.143219\pi\) | |||||||
\(492\) | 33.4450 | − | 9.84459i | 1.50782 | − | 0.443828i | ||||
\(493\) | −39.3530 | + | 22.2932i | −1.77237 | + | 1.00403i | ||||
\(494\) | 13.7800 | + | 6.38068i | 0.619993 | + | 0.287080i | ||||
\(495\) | −9.47913 | + | 5.06670i | −0.426055 | + | 0.227731i | ||||
\(496\) | 15.1431 | − | 3.52842i | 0.679944 | − | 0.158431i | ||||
\(497\) | 0.0308718 | − | 0.0577572i | 0.00138479 | − | 0.00259076i | ||||
\(498\) | −6.57445 | + | 46.9524i | −0.294608 | + | 2.10399i | ||||
\(499\) | −29.3881 | + | 25.3504i | −1.31559 | + | 1.13484i | −0.334270 | + | 0.942477i | \(0.608490\pi\) |
−0.981324 | + | 0.192362i | \(0.938385\pi\) | |||||||
\(500\) | −21.9242 | + | 10.1487i | −0.980481 | + | 0.453863i | ||||
\(501\) | −8.97898 | − | 3.98011i | −0.401151 | − | 0.177818i | ||||
\(502\) | −0.502297 | + | 1.15854i | −0.0224186 | + | 0.0517080i | ||||
\(503\) | 9.43875 | + | 3.37724i | 0.420853 | + | 0.150584i | 0.538795 | − | 0.842437i | \(-0.318880\pi\) |
−0.117942 | + | 0.993020i | \(0.537630\pi\) | |||||||
\(504\) | 10.8625 | + | 8.47922i | 0.483856 | + | 0.377694i | ||||
\(505\) | −0.487697 | + | 9.92731i | −0.0217022 | + | 0.441759i | ||||
\(506\) | 23.5749 | + | 6.31784i | 1.04803 | + | 0.280862i | ||||
\(507\) | 6.62113 | − | 20.0425i | 0.294055 | − | 0.890117i | ||||
\(508\) | 23.0307 | + | 33.2815i | 1.02182 | + | 1.47663i | ||||
\(509\) | −30.0947 | − | 5.22193i | −1.33392 | − | 0.231458i | −0.541126 | − | 0.840942i | \(-0.682002\pi\) |
−0.792799 | + | 0.609484i | \(0.791377\pi\) | |||||||
\(510\) | −29.3352 | − | 2.64826i | −1.29898 | − | 0.117267i | ||||
\(511\) | 13.3877 | 0.592235 | ||||||||
\(512\) | −16.3932 | + | 15.5969i | −0.724485 | + | 0.689291i | ||||
\(513\) | 25.5525 | 1.12817 | ||||||||
\(514\) | −40.7915 | − | 3.68248i | −1.79923 | − | 0.162427i | ||||
\(515\) | 2.81444 | + | 0.488352i | 0.124019 | + | 0.0215193i | ||||
\(516\) | 17.7025 | − | 12.2501i | 0.779308 | − | 0.539279i | ||||
\(517\) | −6.07527 | + | 18.3901i | −0.267190 | + | 0.808796i | ||||
\(518\) | −26.7838 | − | 7.17781i | −1.17681 | − | 0.315375i | ||||
\(519\) | 2.43696 | − | 49.6054i | 0.106971 | − | 2.17743i | ||||
\(520\) | −7.65543 | + | 0.943314i | −0.335713 | + | 0.0413670i | ||||
\(521\) | −24.5694 | − | 8.79106i | −1.07640 | − | 0.385143i | −0.261776 | − | 0.965129i | \(-0.584308\pi\) |
−0.814627 | + | 0.579986i | \(0.803058\pi\) | |||||||
\(522\) | 4.66450 | − | 10.7586i | 0.204160 | − | 0.470890i | ||||
\(523\) | −9.89850 | − | 4.38770i | −0.432831 | − | 0.191861i | 0.177307 | − | 0.984156i | \(-0.443261\pi\) |
−0.610139 | + | 0.792295i | \(0.708886\pi\) | |||||||
\(524\) | 0.645927 | + | 1.39540i | 0.0282175 | + | 0.0609582i | ||||
\(525\) | 14.3272 | − | 12.3588i | 0.625292 | − | 0.539380i | ||||
\(526\) | −6.05482 | + | 43.2414i | −0.264003 | + | 1.88541i | ||||
\(527\) | 11.1074 | − | 20.7806i | 0.483848 | − | 0.905215i | ||||
\(528\) | 26.9586 | + | 37.6328i | 1.17322 | + | 1.63776i | ||||
\(529\) | 12.2212 | − | 6.53237i | 0.531357 | − | 0.284016i | ||||
\(530\) | −6.13036 | − | 2.83859i | −0.266286 | − | 0.123301i | ||||
\(531\) | 4.43578 | − | 2.51284i | 0.192496 | − | 0.109048i | ||||
\(532\) | −16.5202 | − | 56.1241i | −0.716241 | − | 2.43329i | ||||
\(533\) | 3.03140 | − | 13.4994i | 0.131304 | − | 0.584725i | ||||
\(534\) | −11.9257 | − | 6.62811i | −0.516074 | − | 0.286827i | ||||
\(535\) | −7.52639 | − | 30.0470i | −0.325394 | − | 1.29905i | ||||
\(536\) | 10.1134 | − | 9.16414i | 0.436832 | − | 0.395830i | ||||
\(537\) | 19.3388 | + | 14.3426i | 0.834532 | + | 0.618931i | ||||
\(538\) | −8.45347 | + | 6.05718i | −0.364455 | + | 0.261144i | ||||
\(539\) | 60.6916 | + | 34.3814i | 2.61417 | + | 1.48091i | ||||
\(540\) | −11.0224 | + | 6.85297i | −0.474326 | + | 0.294905i | ||||
\(541\) | −20.3990 | + | 0.500768i | −0.877023 | + | 0.0215297i | −0.460566 | − | 0.887626i | \(-0.652353\pi\) |
−0.416457 | + | 0.909155i | \(0.636728\pi\) | |||||||
\(542\) | −12.9409 | + | 19.7131i | −0.555860 | + | 0.846749i | ||||
\(543\) | 22.2133 | − | 14.8424i | 0.953264 | − | 0.636950i | ||||
\(544\) | 1.39572 | + | 34.2616i | 0.0598410 | + | 1.46895i | ||||
\(545\) | 14.8240 | + | 9.90506i | 0.634989 | + | 0.424286i | ||||
\(546\) | 18.6280 | − | 7.89427i | 0.797203 | − | 0.337844i | ||||
\(547\) | −7.65996 | − | 2.95477i | −0.327516 | − | 0.126337i | 0.190550 | − | 0.981678i | \(-0.438973\pi\) |
−0.518066 | + | 0.855341i | \(0.673348\pi\) | |||||||
\(548\) | −16.0815 | + | 4.30771i | −0.686968 | + | 0.184016i | ||||
\(549\) | 10.2632 | + | 1.26585i | 0.438025 | + | 0.0540252i | ||||
\(550\) | 15.6498 | − | 7.09012i | 0.667311 | − | 0.302324i | ||||
\(551\) | −42.7019 | + | 25.5945i | −1.81916 | + | 1.09036i | ||||
\(552\) | −17.0071 | − | 3.38495i | −0.723870 | − | 0.144073i | ||||
\(553\) | −1.49331 | + | 1.10751i | −0.0635018 | + | 0.0470962i | ||||
\(554\) | 3.17233 | − | 9.87197i | 0.134780 | − | 0.419420i | ||||
\(555\) | −8.84815 | + | 12.5634i | −0.375583 | + | 0.533287i | ||||
\(556\) | 2.77594 | + | 14.5840i | 0.117726 | + | 0.618499i | ||||
\(557\) | 5.43730 | − | 6.96726i | 0.230386 | − | 0.295212i | −0.659212 | − | 0.751957i | \(-0.729110\pi\) |
0.889598 | + | 0.456745i | \(0.150985\pi\) | |||||||
\(558\) | 0.945554 | + | 6.03539i | 0.0400285 | + | 0.255498i | ||||
\(559\) | −0.837381 | − | 8.50207i | −0.0354174 | − | 0.359599i | ||||
\(560\) | 22.1782 | + | 19.7792i | 0.937201 | + | 0.835823i | ||||
\(561\) | 69.8147 | + | 6.87615i | 2.94758 | + | 0.290311i | ||||
\(562\) | 25.6142 | + | 22.8382i | 1.08047 | + | 0.963371i | ||||
\(563\) | 21.1184 | − | 6.97658i | 0.890035 | − | 0.294028i | 0.167920 | − | 0.985801i | \(-0.446295\pi\) |
0.722115 | + | 0.691773i | \(0.243170\pi\) | |||||||
\(564\) | 3.45363 | − | 13.3200i | 0.145424 | − | 0.560873i | ||||
\(565\) | −18.0794 | − | 0.443825i | −0.760608 | − | 0.0186719i | ||||
\(566\) | −22.0379 | − | 15.2539i | −0.926321 | − | 0.641168i | ||||
\(567\) | 32.6777 | − | 36.0542i | 1.37233 | − | 1.51414i | ||||
\(568\) | −0.0276007 | + | 0.0319894i | −0.00115810 | + | 0.00134225i | ||||
\(569\) | −10.6789 | + | 3.82098i | −0.447684 | + | 0.160184i | −0.551073 | − | 0.834457i | \(-0.685781\pi\) |
0.103389 | + | 0.994641i | \(0.467031\pi\) | |||||||
\(570\) | −32.3521 | − | 2.12171i | −1.35508 | − | 0.0888687i | ||||
\(571\) | −8.07594 | + | 9.36226i | −0.337968 | + | 0.391798i | −0.900413 | − | 0.435036i | \(-0.856736\pi\) |
0.562445 | + | 0.826834i | \(0.309861\pi\) | |||||||
\(572\) | 18.2508 | − | 2.09817i | 0.763105 | − | 0.0877290i | ||||
\(573\) | −11.2950 | + | 2.53637i | −0.471855 | + | 0.105959i | ||||
\(574\) | −46.8037 | + | 25.5092i | −1.95355 | + | 1.06473i | ||||
\(575\) | −2.46288 | + | 5.94593i | −0.102709 | + | 0.247962i | ||||
\(576\) | −5.63830 | − | 6.87351i | −0.234929 | − | 0.286396i | ||||
\(577\) | −4.76367 | − | 11.5005i | −0.198314 | − | 0.478772i | 0.793170 | − | 0.609000i | \(-0.208429\pi\) |
−0.991484 | + | 0.130228i | \(0.958429\pi\) | |||||||
\(578\) | 21.7276 | + | 17.5373i | 0.903751 | + | 0.729455i | ||||
\(579\) | 0.907658 | + | 0.574768i | 0.0377210 | + | 0.0238866i | ||||
\(580\) | 11.5557 | − | 22.4928i | 0.479825 | − | 0.933964i | ||||
\(581\) | −5.33245 | − | 72.2902i | −0.221227 | − | 2.99910i | ||||
\(582\) | 0.403348 | + | 0.198928i | 0.0167193 | + | 0.00824585i | ||||
\(583\) | 14.5453 | + | 6.87942i | 0.602405 | + | 0.284916i | ||||
\(584\) | −8.42692 | − | 1.89334i | −0.348708 | − | 0.0783472i | ||||
\(585\) | −0.148701 | − | 3.02687i | −0.00614802 | − | 0.125146i | ||||
\(586\) | −8.65931 | − | 1.87058i | −0.357713 | − | 0.0772729i | ||||
\(587\) | −13.1047 | − | 13.7643i | −0.540890 | − | 0.568114i | 0.395772 | − | 0.918349i | \(-0.370477\pi\) |
−0.936662 | + | 0.350235i | \(0.886102\pi\) | |||||||
\(588\) | −44.6243 | − | 21.5584i | −1.84027 | − | 0.889054i | ||||
\(589\) | 11.6613 | − | 23.1670i | 0.480496 | − | 0.954581i | ||||
\(590\) | 9.89987 | − | 4.78132i | 0.407571 | − | 0.196844i | ||||
\(591\) | −10.1881 | − | 12.4142i | −0.419082 | − | 0.510653i | ||||
\(592\) | 15.8441 | + | 8.30599i | 0.651187 | + | 0.341374i | ||||
\(593\) | −10.9243 | − | 8.96536i | −0.448608 | − | 0.368163i | 0.382795 | − | 0.923833i | \(-0.374962\pi\) |
−0.831403 | + | 0.555670i | \(0.812462\pi\) | |||||||
\(594\) | 26.3843 | − | 16.1076i | 1.08256 | − | 0.660902i | ||||
\(595\) | 44.6948 | − | 5.51258i | 1.83231 | − | 0.225994i | ||||
\(596\) | −2.98764 | − | 7.38470i | −0.122379 | − | 0.302489i | ||||
\(597\) | −2.29401 | − | 13.2207i | −0.0938875 | − | 0.541087i | ||||
\(598\) | −4.45229 | + | 5.24724i | −0.182068 | + | 0.214575i | ||||
\(599\) | 13.2097 | + | 1.95948i | 0.539735 | + | 0.0800621i | 0.411032 | − | 0.911621i | \(-0.365169\pi\) |
0.128703 | + | 0.991683i | \(0.458919\pi\) | |||||||
\(600\) | −10.7662 | + | 5.75304i | −0.439527 | + | 0.234867i | ||||
\(601\) | −8.72589 | + | 34.8357i | −0.355936 | + | 1.42098i | 0.482461 | + | 0.875918i | \(0.339743\pi\) |
−0.838397 | + | 0.545060i | \(0.816507\pi\) | |||||||
\(602\) | −22.5007 | + | 24.0219i | −0.917061 | + | 0.979061i | ||||
\(603\) | 3.29896 | + | 4.22723i | 0.134344 | + | 0.172146i | ||||
\(604\) | 20.5146 | − | 23.3888i | 0.834728 | − | 0.951678i | ||||
\(605\) | 33.4281 | − | 14.8177i | 1.35905 | − | 0.602424i | ||||
\(606\) | 0.136955 | + | 16.8185i | 0.00556343 | + | 0.683207i | ||||
\(607\) | −3.87744 | − | 19.4932i | −0.157381 | − | 0.791205i | −0.976152 | − | 0.217086i | \(-0.930345\pi\) |
0.818772 | − | 0.574119i | \(-0.194655\pi\) | |||||||
\(608\) | 2.46138 | + | 37.6639i | 0.0998220 | + | 1.52747i | ||||
\(609\) | −12.9400 | + | 65.0536i | −0.524354 | + | 2.63611i | ||||
\(610\) | 21.9066 | + | 4.17235i | 0.886972 | + | 0.168933i | ||||
\(611\) | −3.95496 | − | 3.76544i | −0.160001 | − | 0.152333i | ||||
\(612\) | −13.4651 | − | 0.441835i | −0.544295 | − | 0.0178601i | ||||
\(613\) | 4.05306 | − | 1.12163i | 0.163702 | − | 0.0453023i | −0.183898 | − | 0.982945i | \(-0.558872\pi\) |
0.347600 | + | 0.937643i | \(0.386997\pi\) | |||||||
\(614\) | 44.2920 | − | 10.3257i | 1.78748 | − | 0.416710i | ||||
\(615\) | 4.33432 | + | 29.2196i | 0.174776 | + | 1.17825i | ||||
\(616\) | −52.4371 | − | 47.5372i | −2.11275 | − | 1.91533i | ||||
\(617\) | −10.0668 | − | 6.03381i | −0.405274 | − | 0.242912i | 0.296913 | − | 0.954905i | \(-0.404043\pi\) |
−0.702187 | + | 0.711993i | \(0.747793\pi\) | |||||||
\(618\) | 4.80202 | + | 0.552615i | 0.193166 | + | 0.0222294i | ||||
\(619\) | −18.4210 | + | 11.6650i | −0.740402 | + | 0.468854i | −0.851103 | − | 0.524999i | \(-0.824066\pi\) |
0.110701 | + | 0.993854i | \(0.464691\pi\) | |||||||
\(620\) | 1.18298 | + | 13.1208i | 0.0475095 | + | 0.526946i | ||||
\(621\) | −3.08840 | + | 11.1601i | −0.123933 | + | 0.447838i | ||||
\(622\) | −2.85069 | + | 2.62631i | −0.114302 | + | 0.105305i | ||||
\(623\) | 19.9620 | + | 6.05541i | 0.799761 | + | 0.242605i | ||||
\(624\) | −12.8419 | + | 2.33463i | −0.514087 | + | 0.0934599i | ||||
\(625\) | −2.85265 | − | 9.40394i | −0.114106 | − | 0.376158i | ||||
\(626\) | 29.2245 | − | 7.57379i | 1.16805 | − | 0.302710i | ||||
\(627\) | 77.0100 | + | 5.68060i | 3.07549 | + | 0.226861i | ||||
\(628\) | −38.5923 | + | 28.1310i | −1.54000 | + | 1.12255i | ||||
\(629\) | 25.2931 | − | 9.75664i | 1.00850 | − | 0.389023i | ||||
\(630\) | −8.39017 | + | 8.11937i | −0.334272 | + | 0.323484i | ||||
\(631\) | −0.999403 | − | 2.11306i | −0.0397856 | − | 0.0841196i | 0.883118 | − | 0.469152i | \(-0.155440\pi\) |
−0.922903 | + | 0.385032i | \(0.874190\pi\) | |||||||
\(632\) | 1.09660 | − | 0.485937i | 0.0436203 | − | 0.0193295i | ||||
\(633\) | −37.5446 | − | 41.4241i | −1.49226 | − | 1.64646i | ||||
\(634\) | −26.0506 | + | 3.42861i | −1.03460 | + | 0.136168i | ||||
\(635\) | −30.6304 | + | 15.4180i | −1.21553 | + | 0.611846i | ||||
\(636\) | −10.6315 | − | 4.20219i | −0.421566 | − | 0.166628i | ||||
\(637\) | −16.0797 | + | 11.3246i | −0.637101 | + | 0.448697i | ||||
\(638\) | −27.9579 | + | 53.3459i | −1.10686 | + | 2.11198i | ||||
\(639\) | −0.0117380 | − | 0.0117380i | −0.000464349 | − | 0.000464349i | ||||
\(640\) | −11.1629 | − | 15.5866i | −0.441252 | − | 0.616116i | ||||
\(641\) | −11.6635 | + | 11.6635i | −0.460681 | + | 0.460681i | −0.898879 | − | 0.438198i | \(-0.855617\pi\) |
0.438198 | + | 0.898879i | \(0.355617\pi\) | |||||||
\(642\) | −15.6235 | − | 50.0334i | −0.616610 | − | 1.97466i | ||||
\(643\) | 13.8529 | + | 19.6697i | 0.546307 | + | 0.775696i | 0.992889 | − | 0.119047i | \(-0.0379839\pi\) |
−0.446582 | + | 0.894743i | \(0.647359\pi\) | |||||||
\(644\) | 26.5089 | − | 0.431759i | 1.04460 | − | 0.0170137i | ||||
\(645\) | 8.20087 | + | 16.2923i | 0.322909 | + | 0.641510i | ||||
\(646\) | 45.3771 | + | 34.8219i | 1.78534 | + | 1.37005i | ||||
\(647\) | −27.3348 | + | 24.7749i | −1.07464 | + | 0.974000i | −0.999731 | − | 0.0231897i | \(-0.992618\pi\) |
−0.0749127 | + | 0.997190i | \(0.523868\pi\) | |||||||
\(648\) | −25.6680 | + | 18.0731i | −1.00834 | + | 0.709977i | ||||
\(649\) | −23.6707 | + | 11.1954i | −0.929158 | + | 0.439459i | ||||
\(650\) | −0.0794461 | + | 4.84361i | −0.00311613 | + | 0.189982i | ||||
\(651\) | −12.4361 | − | 32.2395i | −0.487411 | − | 1.26356i | ||||
\(652\) | 4.00334 | + | 16.5613i | 0.156783 | + | 0.648589i | ||||
\(653\) | −3.18559 | + | 43.1860i | −0.124662 | + | 1.69000i | 0.467352 | + | 0.884071i | \(0.345208\pi\) |
−0.592014 | + | 0.805928i | \(0.701667\pi\) | |||||||
\(654\) | 26.0026 | + | 15.2989i | 1.01678 | + | 0.598235i | ||||
\(655\) | −1.24671 | + | 0.378186i | −0.0487131 | + | 0.0147770i | ||||
\(656\) | 33.0684 | − | 9.43770i | 1.29110 | − | 0.368480i | ||||
\(657\) | 0.985060 | − | 3.24731i | 0.0384309 | − | 0.126690i | ||||
\(658\) | −0.861173 | + | 21.0210i | −0.0335720 | + | 0.819482i | ||||
\(659\) | −16.8897 | − | 4.67401i | −0.657930 | − | 0.182074i | −0.0782698 | − | 0.996932i | \(-0.524940\pi\) |
−0.579660 | + | 0.814859i | \(0.696815\pi\) | |||||||
\(660\) | −34.7427 | + | 18.2031i | −1.35236 | + | 0.708555i | ||||
\(661\) | 4.50780 | + | 7.11860i | 0.175333 | + | 0.276881i | 0.921100 | − | 0.389325i | \(-0.127292\pi\) |
−0.745767 | + | 0.666207i | \(0.767917\pi\) | |||||||
\(662\) | −14.6043 | − | 18.4028i | −0.567613 | − | 0.715244i | ||||
\(663\) | −10.1689 | + | 16.9657i | −0.394926 | + | 0.658894i | ||||
\(664\) | −6.86709 | + | 46.2575i | −0.266495 | + | 1.79514i | ||||
\(665\) | 49.0333 | − | 7.27341i | 1.90143 | − | 0.282051i | ||||
\(666\) | −3.71179 | + | 5.96854i | −0.143829 | + | 0.231276i | ||||
\(667\) | −6.01726 | − | 21.7436i | −0.232989 | − | 0.841915i | ||||
\(668\) | −8.82392 | − | 3.99888i | −0.341408 | − | 0.154721i | ||||
\(669\) | −28.3515 | + | 29.7785i | −1.09613 | + | 1.15130i | ||||
\(670\) | 6.50239 | + | 9.56204i | 0.251209 | + | 0.369414i | ||||
\(671\) | −52.0929 | − | 10.3619i | −2.01102 | − | 0.400017i | ||||
\(672\) | 39.3827 | + | 31.2686i | 1.51922 | + | 1.20621i | ||||
\(673\) | 24.5786 | − | 4.88898i | 0.947434 | − | 0.188456i | 0.302892 | − | 0.953025i | \(-0.402048\pi\) |
0.644542 | + | 0.764569i | \(0.277048\pi\) | |||||||
\(674\) | −10.9555 | − | 10.7785i | −0.421988 | − | 0.415171i | ||||
\(675\) | 3.30326 | + | 7.45203i | 0.127142 | + | 0.286829i | ||||
\(676\) | 6.69394 | − | 19.7148i | 0.257459 | − | 0.758260i | ||||
\(677\) | 2.25941 | − | 1.76326i | 0.0868360 | − | 0.0677675i | −0.570880 | − | 0.821034i | \(-0.693398\pi\) |
0.657716 | + | 0.753266i | \(0.271523\pi\) | |||||||
\(678\) | −30.5866 | + | 1.00013i | −1.17467 | + | 0.0384098i | ||||
\(679\) | −0.667002 | − | 0.167075i | −0.0255972 | − | 0.00641176i | ||||
\(680\) | −28.9129 | − | 2.85103i | −1.10876 | − | 0.109332i | ||||
\(681\) | −2.71914 | + | 18.3310i | −0.104198 | + | 0.702444i | ||||
\(682\) | −2.56297 | − | 31.2722i | −0.0981410 | − | 1.19747i | ||||
\(683\) | 22.6083 | − | 3.92291i | 0.865082 | − | 0.150106i | 0.278934 | − | 0.960310i | \(-0.410019\pi\) |
0.586147 | + | 0.810204i | \(0.300644\pi\) | |||||||
\(684\) | −14.8290 | − | 0.122458i | −0.567001 | − | 0.00468231i | ||||
\(685\) | −1.72671 | − | 13.9998i | −0.0659741 | − | 0.534904i | ||||
\(686\) | 31.4634 | + | 7.60944i | 1.20128 | + | 0.290530i | ||||
\(687\) | −11.5726 | + | 14.1012i | −0.441522 | + | 0.537996i | ||||
\(688\) | 17.5605 | − | 11.9385i | 0.669486 | − | 0.455153i | ||||
\(689\) | −3.50691 | + | 2.87805i | −0.133603 | + | 0.109645i | ||||
\(690\) | 4.83690 | − | 13.8733i | 0.184138 | − | 0.528149i | ||||
\(691\) | 22.3636 | + | 11.2569i | 0.850751 | + | 0.428232i | 0.820729 | − | 0.571317i | \(-0.193567\pi\) |
0.0300215 | + | 0.999549i | \(0.490442\pi\) | |||||||
\(692\) | 2.80772 | − | 48.9080i | 0.106733 | − | 1.85920i | ||||
\(693\) | 20.1399 | − | 19.1748i | 0.765051 | − | 0.728389i | ||||
\(694\) | −11.8957 | − | 18.4512i | −0.451553 | − | 0.700396i | ||||
\(695\) | −12.5634 | + | 0.617199i | −0.476556 | + | 0.0234117i | ||||
\(696\) | 17.3453 | − | 39.1182i | 0.657472 | − | 1.48277i | ||||
\(697\) | 22.2814 | − | 47.1100i | 0.843967 | − | 1.78442i | ||||
\(698\) | 2.06026 | − | 0.699276i | 0.0779820 | − | 0.0264680i | ||||
\(699\) | 16.1874 | − | 1.19406i | 0.612264 | − | 0.0451633i | ||||
\(700\) | 14.2322 | − | 12.0732i | 0.537927 | − | 0.456326i | ||||
\(701\) | 8.54777 | − | 13.4984i | 0.322845 | − | 0.509828i | −0.644057 | − | 0.764978i | \(-0.722750\pi\) |
0.966901 | + | 0.255150i | \(0.0821249\pi\) | |||||||
\(702\) | 0.924913 | + | 8.66671i | 0.0349086 | + | 0.327104i | ||||
\(703\) | 27.5691 | − | 11.4195i | 1.03979 | − | 0.430694i | ||||
\(704\) | 26.2838 | + | 37.3384i | 0.990608 | + | 1.40724i | ||||
\(705\) | 10.7714 | + | 4.46167i | 0.405675 | + | 0.168036i | ||||
\(706\) | −8.73342 | + | 29.6575i | −0.328687 | + | 1.11617i | ||||
\(707\) | −5.63419 | − | 25.0902i | −0.211896 | − | 0.943614i | ||||
\(708\) | 16.2622 | − | 9.03586i | 0.611171 | − | 0.339588i | ||||
\(709\) | 7.36341 | + | 6.35172i | 0.276539 | + | 0.238544i | 0.780460 | − | 0.625206i | \(-0.214985\pi\) |
−0.503922 | + | 0.863749i | \(0.668110\pi\) | |||||||
\(710\) | −0.0236023 | − | 0.0269153i | −0.000885777 | − | 0.00101011i | ||||
\(711\) | 0.158761 | + | 0.443706i | 0.00595399 | + | 0.0166403i | ||||
\(712\) | −11.7088 | − | 6.63472i | −0.438805 | − | 0.248647i | ||||
\(713\) | 8.70877 | + | 7.89317i | 0.326146 | + | 0.295602i | ||||
\(714\) | 74.9745 | − | 13.6391i | 2.80585 | − | 0.510430i | ||||
\(715\) | −0.381993 | + | 15.5607i | −0.0142857 | + | 0.581936i | ||||
\(716\) | 18.9578 | + | 14.3043i | 0.708488 | + | 0.534575i | ||||
\(717\) | 4.52497 | + | 13.6973i | 0.168988 | + | 0.511534i | ||||
\(718\) | 1.05123 | + | 18.3483i | 0.0392314 | + | 0.684752i | ||||
\(719\) | 2.28775 | − | 23.2279i | 0.0853186 | − | 0.866255i | −0.853328 | − | 0.521374i | \(-0.825420\pi\) |
0.938647 | − | 0.344880i | \(-0.112080\pi\) | |||||||
\(720\) | 6.42950 | − | 3.92420i | 0.239613 | − | 0.146246i | ||||
\(721\) | −7.35477 | + | 0.724381i | −0.273906 | + | 0.0269774i | ||||
\(722\) | 29.1619 | + | 21.2621i | 1.08529 | + | 0.791293i | ||||
\(723\) | −3.41385 | − | 2.66420i | −0.126962 | − | 0.0990825i | ||||
\(724\) | 22.0308 | − | 14.4588i | 0.818767 | − | 0.537356i | ||||
\(725\) | −12.9845 | − | 9.14474i | −0.482233 | − | 0.339627i | ||||
\(726\) | 55.0398 | − | 28.2688i | 2.04272 | − | 1.04915i | ||||
\(727\) | −11.5184 | − | 15.5308i | −0.427195 | − | 0.576006i | 0.536200 | − | 0.844091i | \(-0.319859\pi\) |
−0.963395 | + | 0.268085i | \(0.913609\pi\) | |||||||
\(728\) | 18.4378 | − | 7.63471i | 0.683351 | − | 0.282961i | ||||
\(729\) | 5.63524 | + | 9.40182i | 0.208712 | + | 0.348216i | ||||
\(730\) | 2.57800 | − | 6.84879i | 0.0954161 | − | 0.253485i | ||||
\(731\) | 3.93905 | − | 31.9370i | 0.145691 | − | 1.18123i | ||||
\(732\) | 37.4132 | + | 4.92845i | 1.38283 | + | 0.182161i | ||||
\(733\) | −0.981276 | + | 2.54386i | −0.0362442 | + | 0.0939597i | −0.949931 | − | 0.312459i | \(-0.898847\pi\) |
0.913687 | + | 0.406418i | \(0.133222\pi\) | |||||||
\(734\) | −3.96481 | − | 1.60458i | −0.146344 | − | 0.0592261i | ||||
\(735\) | 23.3285 | − | 34.9135i | 0.860484 | − | 1.28780i | ||||
\(736\) | −16.7472 | − | 3.47724i | −0.617311 | − | 0.128173i | ||||
\(737\) | −15.3010 | − | 22.8995i | −0.563618 | − | 0.843514i | ||||
\(738\) | 2.74371 | + | 13.2296i | 0.100998 | + | 0.486990i | ||||
\(739\) | −0.641397 | − | 26.1276i | −0.0235942 | − | 0.961121i | −0.888415 | − | 0.459041i | \(-0.848193\pi\) |
0.864821 | − | 0.502080i | \(-0.167432\pi\) | |||||||
\(740\) | −8.82963 | + | 12.3197i | −0.324584 | + | 0.452883i | ||||
\(741\) | −10.7315 | + | 18.9438i | −0.394233 | + | 0.695919i | ||||
\(742\) | 17.2448 | + | 2.84780i | 0.633075 | + | 0.104546i | ||||
\(743\) | 3.12594 | − | 4.21485i | 0.114680 | − | 0.154628i | −0.742138 | − | 0.670247i | \(-0.766188\pi\) |
0.856818 | + | 0.515619i | \(0.172438\pi\) | |||||||
\(744\) | 3.26852 | + | 22.0520i | 0.119830 | + | 0.808467i | ||||
\(745\) | 6.54727 | − | 1.64001i | 0.239874 | − | 0.0600852i | ||||
\(746\) | 7.88099 | − | 2.25021i | 0.288544 | − | 0.0823861i | ||||
\(747\) | −17.9271 | − | 4.02566i | −0.655917 | − | 0.147291i | ||||
\(748\) | 68.8051 | + | 7.35088i | 2.51576 | + | 0.268775i | ||||
\(749\) | 39.5007 | + | 69.7285i | 1.44332 | + | 2.54782i | ||||
\(750\) | −11.9345 | − | 32.5173i | −0.435785 | − | 1.18737i | ||||
\(751\) | 14.7272 | + | 27.5526i | 0.537403 | + | 1.00541i | 0.993320 | + | 0.115388i | \(0.0368112\pi\) |
−0.455918 | + | 0.890022i | \(0.650689\pi\) | |||||||
\(752\) | 3.51495 | − | 13.1099i | 0.128177 | − | 0.478070i | ||||
\(753\) | −1.59667 | − | 0.853440i | −0.0581860 | − | 0.0311011i | ||||
\(754\) | −10.2267 | − | 13.5569i | −0.372433 | − | 0.493714i | ||||
\(755\) | 17.2173 | + | 19.9597i | 0.626603 | + | 0.726407i | ||||
\(756\) | 22.7553 | − | 24.6937i | 0.827603 | − | 0.898101i | ||||
\(757\) | 5.17526 | − | 11.6752i | 0.188098 | − | 0.424342i | −0.795200 | − | 0.606348i | \(-0.792634\pi\) |
0.983297 | + | 0.182006i | \(0.0582589\pi\) | |||||||
\(758\) | 17.3293 | − | 6.84725i | 0.629427 | − | 0.248703i | ||||
\(759\) | −11.7888 | + | 32.9476i | −0.427908 | + | 1.19592i | ||||
\(760\) | −31.8929 | − | 2.35624i | −1.15688 | − | 0.0854700i | ||||
\(761\) | 6.42922 | + | 0.315847i | 0.233059 | + | 0.0114495i | 0.165262 | − | 0.986250i | \(-0.447153\pi\) |
0.0677970 | + | 0.997699i | \(0.478403\pi\) | |||||||
\(762\) | −50.2550 | + | 29.0122i | −1.82055 | + | 1.05100i | ||||
\(763\) | −43.7984 | − | 14.4690i | −1.58561 | − | 0.523814i | ||||
\(764\) | −11.1614 | + | 2.40973i | −0.403804 | + | 0.0871809i | ||||
\(765\) | 1.95150 | − | 11.2468i | 0.0705566 | − | 0.406628i | ||||
\(766\) | 11.6136 | + | 13.9186i | 0.419618 | + | 0.502899i | ||||
\(767\) | − | 7.38291i | − | 0.266582i | ||||||
\(768\) | −20.3674 | − | 25.2518i | −0.734946 | − | 0.911196i | ||||
\(769\) | 22.7914i | 0.821880i | 0.911662 | + | 0.410940i | \(0.134799\pi\) | ||||
−0.911662 | + | 0.410940i | \(0.865201\pi\) | |||||||
\(770\) | 46.0446 | − | 38.4195i | 1.65933 | − | 1.38454i | ||||
\(771\) | 10.0393 | − | 57.8580i | 0.361557 | − | 2.08371i | ||||
\(772\) | 0.890579 | + | 0.574310i | 0.0320526 | + | 0.0206699i | ||||
\(773\) | −12.6810 | − | 4.18923i | −0.456103 | − | 0.150676i | 0.0764490 | − | 0.997073i | \(-0.475642\pi\) |
−0.532552 | + | 0.846398i | \(0.678767\pi\) | |||||||
\(774\) | 4.17116 | + | 7.22530i | 0.149929 | + | 0.259708i | ||||
\(775\) | 8.26385 | + | 0.405977i | 0.296846 | + | 0.0145831i | ||||
\(776\) | 0.396218 | + | 0.199497i | 0.0142234 | + | 0.00716151i | ||||
\(777\) | 13.3935 | − | 37.4324i | 0.480490 | − | 1.34288i | ||||
\(778\) | 8.53912 | + | 21.6111i | 0.306142 | + | 0.774795i | ||||
\(779\) | 23.2459 | − | 52.4418i | 0.832870 | − | 1.87892i | ||||
\(780\) | −0.451407 | − | 11.0498i | −0.0161630 | − | 0.395645i | ||||
\(781\) | 0.0556903 | + | 0.0645605i | 0.00199275 | + | 0.00231016i | ||||
\(782\) | −20.6930 | + | 15.6098i | −0.739980 | + | 0.558204i | ||||
\(783\) | −25.2005 | − | 13.4699i | −0.900593 | − | 0.481377i | ||||
\(784\) | −43.8391 | − | 21.6274i | −1.56568 | − | 0.772408i | ||||
\(785\) | −19.0742 | − | 35.6854i | −0.680789 | − | 1.27367i | ||||
\(786\) | −2.06961 | + | 0.759584i | −0.0738205 | + | 0.0270935i | ||||
\(787\) | 12.9495 | + | 22.8591i | 0.461601 | + | 0.814840i | 0.999605 | − | 0.0281021i | \(-0.00894636\pi\) |
−0.538004 | + | 0.842942i | \(0.680821\pi\) | |||||||
\(788\) | −9.94781 | − | 12.3276i | −0.354376 | − | 0.439154i | ||||
\(789\) | −61.0811 | − | 13.7162i | −2.17454 | − | 0.488310i | ||||
\(790\) | 0.279016 | + | 0.977206i | 0.00992693 | + | 0.0347674i | ||||
\(791\) | 45.3872 | − | 11.3689i | 1.61378 | − | 0.404232i | ||||
\(792\) | −15.3889 | + | 9.22136i | −0.546821 | + | 0.327667i | ||||
\(793\) | 8.92094 | − | 12.0285i | 0.316792 | − | 0.427144i | ||||
\(794\) | −2.72833 | + | 16.5213i | −0.0968247 | + | 0.586319i | ||||
\(795\) | 4.77417 | − | 8.42760i | 0.169323 | − | 0.298896i | ||||
\(796\) | −2.15499 | − | 13.0588i | −0.0763815 | − | 0.462857i | ||||
\(797\) | 0.774532 | + | 31.5509i | 0.0274353 | + | 1.11759i | 0.842660 | + | 0.538446i | \(0.180989\pi\) |
−0.815225 | + | 0.579145i | \(0.803386\pi\) | |||||||
\(798\) | 82.1337 | − | 17.0338i | 2.90750 | − | 0.602991i | ||||
\(799\) | −11.4274 | − | 17.1023i | −0.404271 | − | 0.605035i | ||||
\(800\) | −10.6660 | + | 5.58677i | −0.377099 | + | 0.197522i | ||||
\(801\) | 2.93760 | − | 4.39642i | 0.103795 | − | 0.155340i | ||||
\(802\) | −0.605338 | + | 1.49575i | −0.0213752 | + | 0.0528167i | ||||
\(803\) | −6.27272 | + | 16.2614i | −0.221359 | + | 0.573853i | ||||
\(804\) | 11.9108 | + | 15.5249i | 0.420060 | + | 0.547520i | ||||
\(805\) | −2.74976 | + | 22.2945i | −0.0969163 | + | 0.785776i | ||||
\(806\) | 8.27974 | + | 3.11664i | 0.291642 | + | 0.109779i | ||||
\(807\) | −7.66545 | − | 12.7890i | −0.269837 | − | 0.450195i | ||||
\(808\) | −0.00190643 | + | 16.5899i | −6.70681e−5 | + | 0.583632i | ||||
\(809\) | −2.88880 | − | 3.89510i | −0.101565 | − | 0.136944i | 0.749501 | − | 0.662003i | \(-0.230293\pi\) |
−0.851066 | + | 0.525059i | \(0.824043\pi\) | |||||||
\(810\) | −12.1518 | − | 23.6599i | −0.426972 | − | 0.831323i | ||||
\(811\) | 20.2490 | + | 14.2610i | 0.711040 | + | 0.500771i | 0.874039 | − | 0.485856i | \(-0.161492\pi\) |
−0.162999 | + | 0.986626i | \(0.552117\pi\) | |||||||
\(812\) | −13.2931 | + | 64.0596i | −0.466496 | + | 2.24805i | ||||
\(813\) | −26.6536 | − | 20.8007i | −0.934783 | − | 0.729512i | ||||
\(814\) | 21.2680 | − | 29.1700i | 0.745443 | − | 1.02241i | ||||
\(815\) | −14.3666 | + | 1.41499i | −0.503240 | + | 0.0495648i | ||||
\(816\) | −49.1219 | − | 2.01805i | −1.71961 | − | 0.0706458i | ||||
\(817\) | 3.47182 | − | 35.2499i | 0.121463 | − | 1.23324i | ||||
\(818\) | 0.476730 | − | 0.0273133i | 0.0166685 | − | 0.000954985i | ||||
\(819\) | 2.45945 | + | 7.44488i | 0.0859403 | + | 0.260145i | ||||
\(820\) | 4.03711 | + | 28.8558i | 0.140982 | + | 1.00769i | ||||
\(821\) | −0.879323 | + | 35.8196i | −0.0306886 | + | 1.25011i | 0.764849 | + | 0.644209i | \(0.222814\pi\) |
−0.795538 | + | 0.605904i | \(0.792811\pi\) | |||||||
\(822\) | −4.27218 | − | 23.4843i | −0.149009 | − | 0.819109i | ||||
\(823\) | −20.2864 | − | 18.3866i | −0.707141 | − | 0.640915i | 0.236597 | − | 0.971608i | \(-0.423968\pi\) |
−0.943739 | + | 0.330692i | \(0.892718\pi\) | |||||||
\(824\) | 4.73193 | + | 0.584180i | 0.164845 | + | 0.0203509i | ||||
\(825\) | 8.29869 | + | 23.1933i | 0.288923 | + | 0.807487i | ||||
\(826\) | −21.3859 | + | 18.7535i | −0.744112 | + | 0.652518i | ||||
\(827\) | 37.6868 | + | 32.5088i | 1.31050 | + | 1.13044i | 0.982601 | + | 0.185728i | \(0.0594644\pi\) |
0.327896 | + | 0.944714i | \(0.393661\pi\) | |||||||
\(828\) | 1.84579 | − | 6.46177i | 0.0641457 | − | 0.224562i | ||||
\(829\) | −8.34917 | − | 37.1805i | −0.289979 | − | 1.29133i | −0.876501 | − | 0.481400i | \(-0.840128\pi\) |
0.586522 | − | 0.809933i | \(-0.300497\pi\) | |||||||
\(830\) | −38.0087 | − | 11.1927i | −1.31930 | − | 0.388503i | ||||
\(831\) | 13.7351 | + | 5.68927i | 0.476466 | + | 0.197358i | ||||
\(832\) | −12.6855 | + | 2.19814i | −0.439790 | + | 0.0762067i | ||||
\(833\) | −68.4403 | + | 28.3489i | −2.37132 | + | 0.982232i | ||||
\(834\) | −21.1650 | + | 2.25873i | −0.732884 | + | 0.0782135i | ||||
\(835\) | 4.39137 | − | 6.93473i | 0.151970 | − | 0.239986i | ||||
\(836\) | 75.9119 | + | 6.23027i | 2.62547 | + | 0.215479i | ||||
\(837\) | 14.8461 | − | 1.09512i | 0.513157 | − | 0.0378528i | ||||
\(838\) | 6.96517 | + | 20.5213i | 0.240608 | + | 0.708897i | ||||
\(839\) | −17.3765 | + | 36.7396i | −0.599904 | + | 1.26839i | 0.344248 | + | 0.938879i | \(0.388134\pi\) |
−0.944152 | + | 0.329511i | \(0.893116\pi\) | |||||||
\(840\) | −30.8610 | + | 29.3753i | −1.06481 | + | 1.01355i | ||||
\(841\) | 26.6408 | − | 1.30878i | 0.918650 | − | 0.0451304i | ||||
\(842\) | 30.7977 | − | 19.8556i | 1.06136 | − | 0.684270i | ||||
\(843\) | −35.6346 | + | 33.9269i | −1.22732 | + | 1.16851i | ||||
\(844\) | −36.6943 | − | 41.1640i | −1.26307 | − | 1.41692i | ||||
\(845\) | 15.7569 | + | 7.93136i | 0.542054 | + | 0.272847i | ||||
\(846\) | 5.03547 | + | 1.75560i | 0.173123 | + | 0.0603588i | ||||
\(847\) | −73.1280 | + | 60.0146i | −2.51271 | + | 2.06212i | ||||
\(848\) | −10.4520 | − | 4.23139i | −0.358924 | − | 0.145307i | ||||
\(849\) | 24.3781 | − | 29.7048i | 0.836653 | − | 1.01947i | ||||
\(850\) | −4.28926 | + | 17.7352i | −0.147120 | + | 0.608312i | ||||
\(851\) | 1.65533 | + | 13.4210i | 0.0567439 | + | 0.460067i | ||||
\(852\) | −0.0424792 | − | 0.0431866i | −0.00145531 | − | 0.00147955i | ||||
\(853\) | −7.39094 | + | 1.28245i | −0.253061 | + | 0.0439103i | −0.296077 | − | 0.955164i | \(-0.595678\pi\) |
0.0430157 | + | 0.999074i | \(0.486303\pi\) | |||||||
\(854\) | −57.5030 | + | 4.71276i | −1.96771 | + | 0.161267i | ||||
\(855\) | 1.84362 | − | 12.4287i | 0.0630506 | − | 0.425052i | ||||
\(856\) | −15.0026 | − | 49.4773i | −0.512777 | − | 1.69110i | ||||
\(857\) | 10.4963 | + | 2.62918i | 0.358545 | + | 0.0898110i | 0.418067 | − | 0.908416i | \(-0.362708\pi\) |
−0.0595219 | + | 0.998227i | \(0.518958\pi\) | |||||||
\(858\) | 0.860794 | + | 26.3254i | 0.0293870 | + | 0.898734i | ||||
\(859\) | 0.650709 | − | 0.507818i | 0.0222019 | − | 0.0173265i | −0.604070 | − | 0.796932i | \(-0.706455\pi\) |
0.626272 | + | 0.779605i | \(0.284580\pi\) | |||||||
\(860\) | 7.95615 | + | 16.1366i | 0.271302 | + | 0.550253i | ||||
\(861\) | −30.9703 | − | 69.8679i | −1.05547 | − | 2.38109i | ||||
\(862\) | 6.63290 | − | 6.74181i | 0.225917 | − | 0.229627i | ||||
\(863\) | 45.6226 | − | 9.07491i | 1.55301 | − | 0.308913i | 0.657329 | − | 0.753604i | \(-0.271686\pi\) |
0.895684 | + | 0.444691i | \(0.146686\pi\) | |||||||
\(864\) | −17.8157 | + | 12.3254i | −0.606103 | + | 0.419318i | ||||
\(865\) | 40.7093 | + | 8.09758i | 1.38416 | + | 0.275326i | ||||
\(866\) | −9.43270 | + | 6.41444i | −0.320536 | + | 0.217972i | ||||
\(867\) | −27.6046 | + | 28.9940i | −0.937502 | + | 0.984689i | ||||
\(868\) | −12.0037 | − | 31.9004i | −0.407431 | − | 1.08277i | ||||
\(869\) | −0.645565 | − | 2.33277i | −0.0218993 | − | 0.0791339i | ||||
\(870\) | 30.7880 | + | 19.1468i | 1.04381 | + | 0.649139i | ||||
\(871\) | 7.68127 | − | 1.13941i | 0.260270 | − | 0.0386074i | ||||
\(872\) | 25.5228 | + | 15.3018i | 0.864310 | + | 0.518183i | ||||
\(873\) | −0.0896035 | + | 0.149494i | −0.00303262 | + | 0.00505962i | ||||
\(874\) | −22.3490 | + | 17.7360i | −0.755965 | + | 0.599929i | ||||
\(875\) | 28.3329 | + | 44.7426i | 0.957828 | + | 1.51258i | ||||
\(876\) | 3.69241 | − | 11.8200i | 0.124755 | − | 0.399360i | ||||
\(877\) | 18.0658 | + | 4.99947i | 0.610037 | + | 0.168820i | 0.558022 | − | 0.829826i | \(-0.311560\pi\) |
0.0520155 | + | 0.998646i | \(0.483435\pi\) | |||||||
\(878\) | 32.4721 | + | 1.33029i | 1.09588 | + | 0.0448953i | ||||
\(879\) | 3.68709 | − | 12.1547i | 0.124363 | − | 0.409968i | ||||
\(880\) | −34.4164 | + | 17.6715i | −1.16018 | + | 0.595705i | ||||
\(881\) | −5.41479 | + | 1.64256i | −0.182429 | + | 0.0553392i | −0.380177 | − | 0.924914i | \(-0.624137\pi\) |
0.197748 | + | 0.980253i | \(0.436637\pi\) | |||||||
\(882\) | 9.73946 | − | 16.5535i | 0.327945 | − | 0.557386i | ||||
\(883\) | 1.34108 | − | 18.1806i | 0.0451309 | − | 0.611825i | −0.926648 | − | 0.375931i | \(-0.877323\pi\) |
0.971779 | − | 0.235894i | \(-0.0758019\pi\) | |||||||
\(884\) | −10.1682 | + | 16.6512i | −0.341992 | + | 0.560039i | ||||
\(885\) | 5.67291 | + | 14.7065i | 0.190693 | + | 0.494352i | ||||
\(886\) | 27.8000 | + | 0.455983i | 0.933960 | + | 0.0153190i | ||||
\(887\) | 3.25613 | − | 1.54003i | 0.109330 | − | 0.0517093i | −0.372108 | − | 0.928190i | \(-0.621365\pi\) |
0.481438 | + | 0.876480i | \(0.340115\pi\) | |||||||
\(888\) | −13.7245 | + | 21.6678i | −0.460563 | + | 0.727123i | ||||
\(889\) | 65.7375 | − | 59.5810i | 2.20476 | − | 1.99828i | ||||
\(890\) | 6.94178 | − | 9.04599i | 0.232689 | − | 0.303222i | ||||
\(891\) | 28.4826 | + | 56.5851i | 0.954202 | + | 1.89567i | ||||
\(892\) | −28.2068 | + | 29.1408i | −0.944433 | + | 0.975707i | ||||
\(893\) | −13.0367 | − | 18.5107i | −0.436256 | − | 0.619437i | ||||
\(894\) | 10.9023 | − | 3.40437i | 0.364628 | − | 0.113859i | ||||
\(895\) | −14.2283 | + | 14.2283i | −0.475601 | + | 0.475601i | ||||
\(896\) | 38.5900 | + | 31.1623i | 1.28920 | + | 1.04106i | ||||
\(897\) | −6.97666 | − | 6.97666i | −0.232944 | − | 0.232944i | ||||
\(898\) | −22.5199 | − | 11.8024i | −0.751498 | − | 0.393850i | ||||
\(899\) | −23.7132 | + | 16.7007i | −0.790878 | + | 0.556999i | ||||
\(900\) | −1.88128 | − | 4.34051i | −0.0627094 | − | 0.144684i | ||||
\(901\) | −15.2634 | + | 7.68295i | −0.508497 | + | 0.255956i | ||||
\(902\) | −9.05535 | − | 68.8026i | −0.301510 | − | 2.29087i | ||||
\(903\) | −31.6912 | − | 34.9659i | −1.05462 | − | 1.16359i | ||||
\(904\) | −30.1770 | + | 0.737334i | −1.00367 | + | 0.0245234i | ||||
\(905\) | 9.54610 | + | 20.1835i | 0.317323 | + | 0.670923i | ||||
\(906\) | 31.0191 | + | 32.0537i | 1.03054 | + | 1.06491i | ||||
\(907\) | −37.0071 | + | 14.2752i | −1.22880 | + | 0.474000i | −0.885242 | − | 0.465131i | \(-0.846007\pi\) |
−0.343558 | + | 0.939131i | \(0.611632\pi\) | |||||||
\(908\) | −2.83131 | + | 18.0584i | −0.0939604 | + | 0.599290i | ||||
\(909\) | −6.50043 | − | 0.479501i | −0.215606 | − | 0.0159040i | ||||
\(910\) | 4.24179 | + | 16.3675i | 0.140614 | + | 0.542579i | ||||
\(911\) | 12.4232 | + | 40.9538i | 0.411599 | + | 1.35686i | 0.880683 | + | 0.473707i | \(0.157084\pi\) |
−0.469083 | + | 0.883154i | \(0.655416\pi\) | |||||||
\(912\) | −54.1084 | − | 0.893718i | −1.79171 | − | 0.0295939i | ||||
\(913\) | 90.3063 | + | 27.3941i | 2.98870 | + | 0.906613i | ||||
\(914\) | −15.5865 | − | 16.9181i | −0.515554 | − | 0.559600i | ||||
\(915\) | −8.52765 | + | 30.8150i | −0.281915 | + | 1.01871i | ||||
\(916\) | −11.5294 | + | 13.8144i | −0.380941 | + | 0.456439i | ||||
\(917\) | 2.84770 | − | 1.80329i | 0.0940394 | − | 0.0595498i | ||||
\(918\) | −3.75324 | + | 32.6143i | −0.123875 | + | 1.07643i | ||||
\(919\) | 48.4413 | + | 29.0346i | 1.59793 | + | 0.957763i | 0.985979 | + | 0.166867i | \(0.0533652\pi\) |
0.611951 | + | 0.790895i | \(0.290385\pi\) | |||||||
\(920\) | 4.88383 | − | 13.6444i | 0.161015 | − | 0.449844i | ||||
\(921\) | 9.56778 | + | 64.5007i | 0.315269 | + | 2.12537i | ||||
\(922\) | −10.4945 | − | 45.0162i | −0.345618 | − | 1.48253i | ||||
\(923\) | −0.0231690 | + | 0.00641171i | −0.000762616 | + | 0.000211044i | ||||
\(924\) | 74.0697 | − | 69.3632i | 2.43671 | − | 2.28188i | ||||
\(925\) | 6.89429 | + | 6.56391i | 0.226683 | + | 0.215820i | ||||
\(926\) | 4.66901 | − | 24.5143i | 0.153433 | − | 0.805589i | ||||
\(927\) | −0.365456 | + | 1.83727i | −0.0120031 | + | 0.0603439i | ||||
\(928\) | 17.4270 | − | 38.4426i | 0.572069 | − | 1.26194i | ||||
\(929\) | −2.81955 | − | 14.1748i | −0.0925063 | − | 0.465060i | −0.999075 | − | 0.0430022i | \(-0.986308\pi\) |
0.906569 | − | 0.422058i | \(-0.138692\pi\) | |||||||
\(930\) | −18.8877 | + | 0.153804i | −0.619351 | + | 0.00504344i | ||||
\(931\) | −74.5461 | + | 33.0440i | −2.44315 | + | 1.08297i | ||||
\(932\) | 15.9760 | − | 1.04590i | 0.523312 | − | 0.0342594i | ||||
\(933\) | −3.41904 | − | 4.38109i | −0.111934 | − | 0.143430i | ||||
\(934\) | −40.4739 | − | 37.9109i | −1.32435 | − | 1.24048i | ||||
\(935\) | −14.2456 | + | 56.8717i | −0.465881 | + | 1.85990i | ||||
\(936\) | −0.495225 | − | 5.03403i | −0.0161869 | − | 0.164543i | ||||
\(937\) | 16.1287 | + | 2.39247i | 0.526903 | + | 0.0781587i | 0.404882 | − | 0.914369i | \(-0.367312\pi\) |
0.122021 | + | 0.992528i | \(0.461062\pi\) | |||||||
\(938\) | −22.8119 | − | 19.3559i | −0.744834 | − | 0.631994i | ||||
\(939\) | 7.40007 | + | 42.6476i | 0.241492 | + | 1.39175i | ||||
\(940\) | 10.5880 | + | 4.48846i | 0.345341 | + | 0.146398i | ||||
\(941\) | −51.3953 | + | 6.33901i | −1.67544 | + | 0.206646i | −0.903361 | − | 0.428881i | \(-0.858908\pi\) |
−0.772079 | + | 0.635527i | \(0.780783\pi\) | |||||||
\(942\) | −35.6784 | − | 58.4412i | −1.16246 | − | 1.90412i | ||||
\(943\) | 20.0944 | + | 16.4910i | 0.654364 | + | 0.537022i | ||||
\(944\) | 16.1137 | − | 8.77998i | 0.524455 | − | 0.285764i | ||||
\(945\) | 18.0492 | + | 21.9930i | 0.587141 | + | 0.715433i | ||||
\(946\) | −18.6358 | − | 38.5860i | −0.605902 | − | 1.25454i | ||||
\(947\) | 1.35717 | − | 2.69623i | 0.0441020 | − | 0.0876156i | −0.870098 | − | 0.492878i | \(-0.835945\pi\) |
0.914200 | + | 0.405262i | \(0.132820\pi\) | |||||||
\(948\) | 0.565958 | + | 1.62390i | 0.0183815 | + | 0.0527418i | ||||
\(949\) | −3.38859 | − | 3.55915i | −0.109998 | − | 0.115535i | ||||
\(950\) | −4.24083 | + | 19.6317i | −0.137591 | + | 0.636937i | ||||
\(951\) | −1.84848 | − | 37.6268i | −0.0599412 | − | 1.22013i | ||||
\(952\) | 74.0615 | − | 12.8421i | 2.40035 | − | 0.416215i | ||||
\(953\) | −22.9403 | − | 10.8499i | −0.743109 | − | 0.351464i | 0.0182168 | − | 0.999834i | \(-0.494201\pi\) |
−0.761326 | + | 0.648370i | \(0.775451\pi\) | |||||||
\(954\) | 1.95963 | − | 3.97335i | 0.0634452 | − | 0.128642i | ||||
\(955\) | −0.711712 | − | 9.64844i | −0.0230304 | − | 0.312216i | ||||
\(956\) | 4.35159 | + | 13.5470i | 0.140741 | + | 0.438142i | ||||
\(957\) | −72.9548 | − | 46.1981i | −2.35829 | − | 1.49337i | ||||
\(958\) | 28.8081 | − | 35.6915i | 0.930748 | − | 1.15314i | ||||
\(959\) | 13.9660 | + | 33.7168i | 0.450984 | + | 1.08877i | ||||
\(960\) | 23.5800 | − | 14.1259i | 0.761040 | − | 0.455912i | ||||
\(961\) | −6.08078 | + | 14.6803i | −0.196154 | + | 0.473558i | ||||
\(962\) | 4.87109 | + | 8.93735i | 0.157050 | + | 0.288152i | ||||
\(963\) | 19.8198 | − | 4.45068i | 0.638684 | − | 0.143421i | ||||
\(964\) | −3.34552 | − | 2.65561i | −0.107752 | − | 0.0855315i | ||||
\(965\) | −0.586457 | + | 0.679866i | −0.0188787 | + | 0.0218857i | ||||
\(966\) | −2.48757 | + | 37.9307i | −0.0800363 | + | 1.22040i | ||||
\(967\) | −54.6396 | + | 19.5504i | −1.75709 | + | 0.628697i | −0.999705 | − | 0.0242718i | \(-0.992273\pi\) |
−0.757385 | + | 0.652969i | \(0.773523\pi\) | |||||||
\(968\) | 54.5182 | − | 27.4343i | 1.75228 | − | 0.881772i | ||||
\(969\) | −55.0732 | + | 60.7640i | −1.76921 | + | 1.95202i | ||||
\(970\) | −0.213913 | + | 0.309048i | −0.00686833 | + | 0.00992295i | ||||
\(971\) | −30.7757 | − | 0.755501i | −0.987639 | − | 0.0242452i | −0.472481 | − | 0.881341i | \(-0.656642\pi\) |
−0.515157 | + | 0.857096i | \(0.672267\pi\) | |||||||
\(972\) | −11.1698 | − | 18.9895i | −0.358271 | − | 0.609090i | ||||
\(973\) | 30.9008 | − | 10.2082i | 0.990633 | − | 0.327261i | ||||
\(974\) | −24.0472 | + | 26.9701i | −0.770522 | + | 0.864179i | ||||
\(975\) | −6.91202 | − | 0.680774i | −0.221362 | − | 0.0218022i | ||||
\(976\) | 36.8620 | + | 5.16587i | 1.17992 | + | 0.165356i | ||||
\(977\) | −3.60337 | − | 36.5857i | −0.115282 | − | 1.17048i | −0.862556 | − | 0.505962i | \(-0.831138\pi\) |
0.747274 | − | 0.664517i | \(-0.231362\pi\) | |||||||
\(978\) | −24.1342 | + | 3.78106i | −0.771727 | + | 0.120905i | ||||
\(979\) | −16.7083 | + | 21.4097i | −0.534000 | + | 0.684258i | ||||
\(980\) | 23.2942 | − | 34.2466i | 0.744106 | − | 1.09397i | ||||
\(981\) | −6.73228 | + | 9.55910i | −0.214945 | + | 0.305198i | ||||
\(982\) | 37.0922 | + | 11.9195i | 1.18366 | + | 0.380366i | ||||
\(983\) | 38.4391 | − | 28.5084i | 1.22602 | − | 0.909275i | 0.228089 | − | 0.973640i | \(-0.426752\pi\) |
0.997926 | + | 0.0643649i | \(0.0205021\pi\) | |||||||
\(984\) | 9.61335 | + | 48.3586i | 0.306462 | + | 1.54162i | ||||
\(985\) | 11.5120 | − | 6.90004i | 0.366803 | − | 0.219853i | ||||
\(986\) | −26.3958 | − | 58.2628i | −0.840614 | − | 1.85546i | ||||
\(987\) | −29.9372 | − | 3.69240i | −0.952912 | − | 0.117530i | ||||
\(988\) | −10.7393 | + | 18.5977i | −0.341661 | + | 0.591670i | ||||
\(989\) | 14.9758 | + | 5.77681i | 0.476203 | + | 0.183692i | ||||
\(990\) | −5.93108 | − | 13.9955i | −0.188502 | − | 0.444805i | ||||
\(991\) | −41.1579 | − | 27.5008i | −1.30742 | − | 0.873592i | −0.310393 | − | 0.950608i | \(-0.600461\pi\) |
−0.997030 | + | 0.0770168i | \(0.975461\pi\) | |||||||
\(992\) | 3.04426 | + | 21.7775i | 0.0966553 | + | 0.691435i | ||||
\(993\) | 28.0071 | − | 18.7138i | 0.888779 | − | 0.593863i | ||||
\(994\) | 0.0774247 | + | 0.0508265i | 0.00245576 | + | 0.00161212i | ||||
\(995\) | 11.2107 | − | 0.275207i | 0.355402 | − | 0.00872464i | ||||
\(996\) | −65.2958 | − | 15.2301i | −2.06898 | − | 0.482585i | ||||
\(997\) | 24.4153 | + | 13.8311i | 0.773239 | + | 0.438035i | 0.828185 | − | 0.560455i | \(-0.189374\pi\) |
−0.0549458 | + | 0.998489i | \(0.517499\pi\) | |||||||
\(998\) | −31.9689 | − | 44.6161i | −1.01196 | − | 1.41230i | ||||
\(999\) | 13.7568 | + | 10.2027i | 0.435245 | + | 0.322800i |
(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 | 512.2.o.a.149.31 | ✓ | 4032 | |
512.189 | even | 128 | inner | 512.2.o.a.189.31 | yes | 4032 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
512.2.o.a.149.31 | ✓ | 4032 | 1.1 | even | 1 | trivial | |
512.2.o.a.189.31 | yes | 4032 | 512.189 | even | 128 | inner |