Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,3,Mod(13,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.k (of order \(20\), degree \(8\), 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: | \(2.04360198270\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 22.9 | ||
Character | \(\chi\) | \(=\) | 75.22 |
Dual form | 75.3.k.a.58.9 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{17}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.73870 | − | 1.39544i | 1.36935 | − | 0.697719i | 0.394151 | − | 0.919046i | \(-0.371039\pi\) |
0.975200 | + | 0.221327i | \(0.0710388\pi\) | |||||||
\(3\) | 1.71073 | − | 0.270952i | 0.570242 | − | 0.0903175i | ||||
\(4\) | 3.20210 | − | 4.40731i | 0.800524 | − | 1.10183i | ||||
\(5\) | −4.71895 | + | 1.65274i | −0.943789 | + | 0.330548i | ||||
\(6\) | 4.30707 | − | 3.12927i | 0.717845 | − | 0.521545i | ||||
\(7\) | −0.250082 | − | 0.250082i | −0.0357260 | − | 0.0357260i | 0.689018 | − | 0.724744i | \(-0.258042\pi\) |
−0.724744 | + | 0.689018i | \(0.758042\pi\) | |||||||
\(8\) | 0.696119 | − | 4.39513i | 0.0870149 | − | 0.549391i | ||||
\(9\) | 2.85317 | − | 0.927051i | 0.317019 | − | 0.103006i | ||||
\(10\) | −10.6175 | + | 11.1114i | −1.06175 | + | 1.11114i | ||||
\(11\) | −2.45351 | + | 7.55112i | −0.223046 | + | 0.686466i | 0.775438 | + | 0.631424i | \(0.217529\pi\) |
−0.998484 | + | 0.0550418i | \(0.982471\pi\) | |||||||
\(12\) | 4.28374 | − | 8.40731i | 0.356978 | − | 0.700609i | ||||
\(13\) | −10.5776 | − | 5.38954i | −0.813659 | − | 0.414580i | −0.00292573 | − | 0.999996i | \(-0.500931\pi\) |
−0.810733 | + | 0.585416i | \(0.800931\pi\) | |||||||
\(14\) | −1.03387 | − | 0.335926i | −0.0738481 | − | 0.0239947i | ||||
\(15\) | −7.62501 | + | 4.10600i | −0.508334 | + | 0.273733i | ||||
\(16\) | 2.50710 | + | 7.71607i | 0.156694 | + | 0.482254i | ||||
\(17\) | 24.0906 | + | 3.81558i | 1.41710 | + | 0.224446i | 0.817533 | − | 0.575881i | \(-0.195341\pi\) |
0.599563 | + | 0.800327i | \(0.295341\pi\) | |||||||
\(18\) | 6.52034 | − | 6.52034i | 0.362241 | − | 0.362241i | ||||
\(19\) | −15.4606 | − | 21.2797i | −0.813715 | − | 1.11998i | −0.990740 | − | 0.135776i | \(-0.956647\pi\) |
0.177024 | − | 0.984206i | \(-0.443353\pi\) | |||||||
\(20\) | −7.82638 | + | 26.0901i | −0.391319 | + | 1.30450i | ||||
\(21\) | −0.495582 | − | 0.360061i | −0.0235991 | − | 0.0171458i | ||||
\(22\) | 3.81770 | + | 24.1040i | 0.173532 | + | 1.09564i | ||||
\(23\) | −5.83489 | − | 11.4516i | −0.253691 | − | 0.497897i | 0.728676 | − | 0.684858i | \(-0.240136\pi\) |
−0.982367 | + | 0.186962i | \(0.940136\pi\) | |||||||
\(24\) | − | 7.70747i | − | 0.321145i | ||||||
\(25\) | 19.5369 | − | 15.5984i | 0.781476 | − | 0.623936i | ||||
\(26\) | −36.4896 | −1.40344 | ||||||||
\(27\) | 4.62981 | − | 2.35900i | 0.171474 | − | 0.0873705i | ||||
\(28\) | −1.90297 | + | 0.301401i | −0.0679634 | + | 0.0107643i | ||||
\(29\) | −27.7376 | + | 38.1776i | −0.956470 | + | 1.31647i | −0.00787767 | + | 0.999969i | \(0.502508\pi\) |
−0.948593 | + | 0.316500i | \(0.897492\pi\) | |||||||
\(30\) | −15.1530 | + | 21.8853i | −0.505099 | + | 0.729511i | ||||
\(31\) | 27.8697 | − | 20.2485i | 0.899023 | − | 0.653179i | −0.0391915 | − | 0.999232i | \(-0.512478\pi\) |
0.938215 | + | 0.346053i | \(0.112478\pi\) | |||||||
\(32\) | 30.2198 | + | 30.2198i | 0.944367 | + | 0.944367i | ||||
\(33\) | −2.15129 | + | 13.5827i | −0.0651905 | + | 0.411597i | ||||
\(34\) | 71.3015 | − | 23.1673i | 2.09710 | − | 0.681390i | ||||
\(35\) | 1.59344 | + | 0.766802i | 0.0455270 | + | 0.0219086i | ||||
\(36\) | 5.05032 | − | 15.5433i | 0.140287 | − | 0.431758i | ||||
\(37\) | −3.75426 | + | 7.36815i | −0.101466 | + | 0.199139i | −0.936159 | − | 0.351577i | \(-0.885645\pi\) |
0.834692 | + | 0.550716i | \(0.185645\pi\) | |||||||
\(38\) | −72.0364 | − | 36.7044i | −1.89569 | − | 0.965905i | ||||
\(39\) | −19.5556 | − | 6.35401i | −0.501426 | − | 0.162923i | ||||
\(40\) | 3.97906 | + | 21.8909i | 0.0994764 | + | 0.547272i | ||||
\(41\) | −14.5062 | − | 44.6455i | −0.353810 | − | 1.08892i | −0.956696 | − | 0.291088i | \(-0.905983\pi\) |
0.602886 | − | 0.797827i | \(-0.294017\pi\) | |||||||
\(42\) | −1.85969 | − | 0.294547i | −0.0442784 | − | 0.00701302i | ||||
\(43\) | 1.08084 | − | 1.08084i | 0.0251357 | − | 0.0251357i | −0.694427 | − | 0.719563i | \(-0.744342\pi\) |
0.719563 | + | 0.694427i | \(0.244342\pi\) | |||||||
\(44\) | 25.4237 | + | 34.9928i | 0.577812 | + | 0.795291i | ||||
\(45\) | −11.9318 | + | 9.09025i | −0.265151 | + | 0.202006i | ||||
\(46\) | −31.9601 | − | 23.2203i | −0.694784 | − | 0.504790i | ||||
\(47\) | 6.73620 | + | 42.5307i | 0.143323 | + | 0.904909i | 0.949621 | + | 0.313399i | \(0.101468\pi\) |
−0.806298 | + | 0.591509i | \(0.798532\pi\) | |||||||
\(48\) | 6.37966 | + | 12.5208i | 0.132910 | + | 0.260850i | ||||
\(49\) | − | 48.8749i | − | 0.997447i | ||||||
\(50\) | 31.7391 | − | 69.9819i | 0.634782 | − | 1.39964i | ||||
\(51\) | 42.2463 | 0.828360 | ||||||||
\(52\) | −57.6237 | + | 29.3608i | −1.10815 | + | 0.564630i | ||||
\(53\) | −28.7572 | + | 4.55469i | −0.542589 | + | 0.0859376i | −0.421712 | − | 0.906730i | \(-0.638571\pi\) |
−0.120877 | + | 0.992668i | \(0.538571\pi\) | |||||||
\(54\) | 9.38781 | − | 12.9212i | 0.173848 | − | 0.239282i | ||||
\(55\) | −0.902079 | − | 39.6884i | −0.0164014 | − | 0.721607i | ||||
\(56\) | −1.27323 | + | 0.925055i | −0.0227362 | + | 0.0165188i | ||||
\(57\) | −32.2146 | − | 32.2146i | −0.565169 | − | 0.565169i | ||||
\(58\) | −22.6907 | + | 143.263i | −0.391218 | + | 2.47005i | ||||
\(59\) | 71.3918 | − | 23.1966i | 1.21003 | − | 0.393163i | 0.366588 | − | 0.930383i | \(-0.380526\pi\) |
0.843442 | + | 0.537221i | \(0.180526\pi\) | |||||||
\(60\) | −6.31962 | + | 46.7536i | −0.105327 | + | 0.779226i | ||||
\(61\) | 26.0031 | − | 80.0294i | 0.426281 | − | 1.31196i | −0.475481 | − | 0.879726i | \(-0.657726\pi\) |
0.901762 | − | 0.432232i | \(-0.142274\pi\) | |||||||
\(62\) | 48.0713 | − | 94.3452i | 0.775343 | − | 1.52170i | ||||
\(63\) | −0.945365 | − | 0.481688i | −0.0150058 | − | 0.00764583i | ||||
\(64\) | 94.0684 | + | 30.5647i | 1.46982 | + | 0.477573i | ||||
\(65\) | 58.8225 | + | 7.95096i | 0.904961 | + | 0.122322i | ||||
\(66\) | 13.0621 | + | 40.2009i | 0.197910 | + | 0.609105i | ||||
\(67\) | −41.9801 | − | 6.64899i | −0.626568 | − | 0.0992386i | −0.164927 | − | 0.986306i | \(-0.552739\pi\) |
−0.461641 | + | 0.887067i | \(0.652739\pi\) | |||||||
\(68\) | 93.9570 | − | 93.9570i | 1.38172 | − | 1.38172i | ||||
\(69\) | −13.0848 | − | 18.0096i | −0.189634 | − | 0.261009i | ||||
\(70\) | 5.43399 | − | 0.123510i | 0.0776285 | − | 0.00176442i | ||||
\(71\) | 49.0998 | + | 35.6731i | 0.691546 | + | 0.502438i | 0.877168 | − | 0.480183i | \(-0.159430\pi\) |
−0.185622 | + | 0.982621i | \(0.559430\pi\) | |||||||
\(72\) | −2.08836 | − | 13.1854i | −0.0290050 | − | 0.183130i | ||||
\(73\) | 43.1099 | + | 84.6079i | 0.590547 | + | 1.15901i | 0.972078 | + | 0.234657i | \(0.0753967\pi\) |
−0.381532 | + | 0.924356i | \(0.624603\pi\) | |||||||
\(74\) | 25.4180i | 0.343486i | ||||||||
\(75\) | 29.1959 | − | 31.9781i | 0.389278 | − | 0.426375i | ||||
\(76\) | −143.292 | −1.88543 | ||||||||
\(77\) | 2.50198 | − | 1.27482i | 0.0324932 | − | 0.0165561i | ||||
\(78\) | −62.4237 | + | 9.88694i | −0.800303 | + | 0.126756i | ||||
\(79\) | −62.3659 | + | 85.8393i | −0.789442 | + | 1.08657i | 0.204736 | + | 0.978817i | \(0.434366\pi\) |
−0.994177 | + | 0.107756i | \(0.965634\pi\) | |||||||
\(80\) | −24.5836 | − | 32.2681i | −0.307294 | − | 0.403352i | ||||
\(81\) | 7.28115 | − | 5.29007i | 0.0898908 | − | 0.0653095i | ||||
\(82\) | −102.028 | − | 102.028i | −1.24425 | − | 1.24425i | ||||
\(83\) | −15.0878 | + | 95.2606i | −0.181781 | + | 1.14772i | 0.712984 | + | 0.701180i | \(0.247343\pi\) |
−0.894765 | + | 0.446538i | \(0.852657\pi\) | |||||||
\(84\) | −3.17380 | + | 1.03123i | −0.0377834 | + | 0.0122766i | ||||
\(85\) | −119.989 | + | 21.8101i | −1.41163 | + | 0.256589i | ||||
\(86\) | 1.45185 | − | 4.46832i | 0.0168819 | − | 0.0519572i | ||||
\(87\) | −37.1072 | + | 72.8270i | −0.426520 | + | 0.837092i | ||||
\(88\) | 31.4802 | + | 16.0400i | 0.357730 | + | 0.182272i | ||||
\(89\) | −163.312 | − | 53.0634i | −1.83497 | − | 0.596218i | −0.998864 | − | 0.0476516i | \(-0.984826\pi\) |
−0.836107 | − | 0.548567i | \(-0.815174\pi\) | |||||||
\(90\) | −19.9927 | + | 41.5455i | −0.222141 | + | 0.461617i | ||||
\(91\) | 1.29743 | + | 3.99309i | 0.0142575 | + | 0.0438801i | ||||
\(92\) | −69.1547 | − | 10.9530i | −0.751681 | − | 0.119055i | ||||
\(93\) | 42.1911 | − | 42.1911i | 0.453668 | − | 0.453668i | ||||
\(94\) | 77.7974 | + | 107.079i | 0.827632 | + | 1.13914i | ||||
\(95\) | 108.127 | + | 74.8653i | 1.13818 | + | 0.788055i | ||||
\(96\) | 59.8858 | + | 43.5096i | 0.623811 | + | 0.453225i | ||||
\(97\) | 16.8062 | + | 106.110i | 0.173259 | + | 1.09392i | 0.909044 | + | 0.416701i | \(0.136814\pi\) |
−0.735784 | + | 0.677216i | \(0.763186\pi\) | |||||||
\(98\) | −68.2019 | − | 133.854i | −0.695938 | − | 1.36585i | ||||
\(99\) | 23.8192i | 0.240598i | ||||||||
\(100\) | −6.18789 | − | 136.053i | −0.0618789 | − | 1.36053i | ||||
\(101\) | −107.110 | −1.06049 | −0.530247 | − | 0.847843i | \(-0.677901\pi\) | ||||
−0.530247 | + | 0.847843i | \(0.677901\pi\) | |||||||
\(102\) | 115.700 | − | 58.9522i | 1.13431 | − | 0.577962i | ||||
\(103\) | 94.2525 | − | 14.9281i | 0.915073 | − | 0.144933i | 0.318899 | − | 0.947789i | \(-0.396687\pi\) |
0.596174 | + | 0.802855i | \(0.296687\pi\) | |||||||
\(104\) | −31.0510 | + | 42.7380i | −0.298567 | + | 0.410942i | ||||
\(105\) | 2.93371 | + | 0.880042i | 0.0279401 | + | 0.00838135i | ||||
\(106\) | −72.4016 | + | 52.6028i | −0.683034 | + | 0.496253i | ||||
\(107\) | 128.543 | + | 128.543i | 1.20134 | + | 1.20134i | 0.973761 | + | 0.227575i | \(0.0730796\pi\) |
0.227575 | + | 0.973761i | \(0.426920\pi\) | |||||||
\(108\) | 4.42823 | − | 27.9587i | 0.0410021 | − | 0.258877i | ||||
\(109\) | −89.3002 | + | 29.0154i | −0.819268 | + | 0.266196i | −0.688518 | − | 0.725219i | \(-0.741738\pi\) |
−0.130750 | + | 0.991415i | \(0.541738\pi\) | |||||||
\(110\) | −57.8532 | − | 107.436i | −0.525938 | − | 0.976689i | ||||
\(111\) | −4.42609 | + | 13.6221i | −0.0398747 | + | 0.122722i | ||||
\(112\) | 1.30267 | − | 2.55663i | 0.0116310 | − | 0.0228271i | ||||
\(113\) | −13.1461 | − | 6.69828i | −0.116337 | − | 0.0592768i | 0.394853 | − | 0.918744i | \(-0.370795\pi\) |
−0.511191 | + | 0.859467i | \(0.670795\pi\) | |||||||
\(114\) | −133.180 | − | 43.2727i | −1.16824 | − | 0.379585i | ||||
\(115\) | 46.4611 | + | 44.3960i | 0.404010 | + | 0.386052i | ||||
\(116\) | 79.4417 | + | 244.497i | 0.684843 | + | 2.10773i | ||||
\(117\) | −35.1760 | − | 5.57133i | −0.300649 | − | 0.0476182i | ||||
\(118\) | 163.151 | − | 163.151i | 1.38264 | − | 1.38264i | ||||
\(119\) | −5.07043 | − | 6.97885i | −0.0426086 | − | 0.0586458i | ||||
\(120\) | 12.7385 | + | 36.3711i | 0.106154 | + | 0.303093i | ||||
\(121\) | 46.8913 | + | 34.0685i | 0.387531 | + | 0.281558i | ||||
\(122\) | −40.4613 | − | 255.462i | −0.331650 | − | 2.09395i | ||||
\(123\) | −36.9130 | − | 72.4458i | −0.300105 | − | 0.588990i | ||||
\(124\) | − | 187.668i | − | 1.51345i | ||||||
\(125\) | −66.4134 | + | 105.897i | −0.531307 | + | 0.847179i | ||||
\(126\) | −3.26124 | −0.0258828 | ||||||||
\(127\) | 36.2034 | − | 18.4466i | 0.285066 | − | 0.145249i | −0.305611 | − | 0.952157i | \(-0.598861\pi\) |
0.590677 | + | 0.806908i | \(0.298861\pi\) | |||||||
\(128\) | 131.432 | − | 20.8168i | 1.02681 | − | 0.162631i | ||||
\(129\) | 1.55616 | − | 2.14187i | 0.0120632 | − | 0.0166036i | ||||
\(130\) | 172.192 | − | 60.3078i | 1.32456 | − | 0.463906i | ||||
\(131\) | 121.554 | − | 88.3139i | 0.927890 | − | 0.674152i | −0.0175852 | − | 0.999845i | \(-0.505598\pi\) |
0.945475 | + | 0.325694i | \(0.105598\pi\) | |||||||
\(132\) | 52.9745 | + | 52.9745i | 0.401322 | + | 0.401322i | ||||
\(133\) | −1.45525 | + | 9.18808i | −0.0109417 | + | 0.0690833i | ||||
\(134\) | −124.249 | + | 40.3710i | −0.927232 | + | 0.301276i | ||||
\(135\) | −17.9490 | + | 18.7839i | −0.132955 | + | 0.139140i | ||||
\(136\) | 33.5399 | − | 103.225i | 0.246617 | − | 0.759010i | ||||
\(137\) | −7.33780 | + | 14.4013i | −0.0535606 | + | 0.105119i | −0.916235 | − | 0.400641i | \(-0.868788\pi\) |
0.862675 | + | 0.505759i | \(0.168788\pi\) | |||||||
\(138\) | −60.9665 | − | 31.0640i | −0.441786 | − | 0.225101i | ||||
\(139\) | 45.4296 | + | 14.7610i | 0.326832 | + | 0.106194i | 0.467837 | − | 0.883815i | \(-0.345033\pi\) |
−0.141005 | + | 0.990009i | \(0.545033\pi\) | |||||||
\(140\) | 8.48189 | − | 4.56742i | 0.0605849 | − | 0.0326244i | ||||
\(141\) | 23.0476 | + | 70.9332i | 0.163458 | + | 0.503072i | ||||
\(142\) | 184.249 | + | 29.1822i | 1.29753 | + | 0.205509i | ||||
\(143\) | 66.6492 | − | 66.6492i | 0.466079 | − | 0.466079i | ||||
\(144\) | 14.3064 | + | 19.6910i | 0.0993499 | + | 0.136743i | ||||
\(145\) | 67.7947 | − | 226.001i | 0.467550 | − | 1.55863i | ||||
\(146\) | 236.130 | + | 171.559i | 1.61733 | + | 1.17506i | ||||
\(147\) | −13.2428 | − | 83.6116i | −0.0900869 | − | 0.568786i | ||||
\(148\) | 20.4522 | + | 40.1397i | 0.138190 | + | 0.271214i | ||||
\(149\) | − | 108.380i | − | 0.727379i | −0.931520 | − | 0.363690i | \(-0.881517\pi\) | ||
0.931520 | − | 0.363690i | \(-0.118483\pi\) | |||||||
\(150\) | 35.3352 | − | 128.320i | 0.235568 | − | 0.855464i | ||||
\(151\) | −59.8487 | −0.396349 | −0.198175 | − | 0.980167i | \(-0.563501\pi\) | ||||
−0.198175 | + | 0.980167i | \(0.563501\pi\) | |||||||
\(152\) | −104.289 | + | 53.1380i | −0.686114 | + | 0.349592i | ||||
\(153\) | 72.2719 | − | 11.4468i | 0.472366 | − | 0.0748154i | ||||
\(154\) | 5.07324 | − | 6.98271i | 0.0329431 | − | 0.0453423i | ||||
\(155\) | −98.0501 | + | 141.613i | −0.632581 | + | 0.913634i | ||||
\(156\) | −90.6231 | + | 65.8415i | −0.580917 | + | 0.422061i | ||||
\(157\) | −87.1877 | − | 87.1877i | −0.555336 | − | 0.555336i | 0.372640 | − | 0.927976i | \(-0.378453\pi\) |
−0.927976 | + | 0.372640i | \(0.878453\pi\) | |||||||
\(158\) | −51.0181 | + | 322.116i | −0.322900 | + | 2.03871i | ||||
\(159\) | −47.9616 | + | 15.5837i | −0.301645 | + | 0.0980105i | ||||
\(160\) | −192.551 | − | 92.6599i | −1.20344 | − | 0.579125i | ||||
\(161\) | −1.40464 | + | 4.32305i | −0.00872449 | + | 0.0268512i | ||||
\(162\) | 12.5589 | − | 24.6483i | 0.0775243 | − | 0.152150i | ||||
\(163\) | 82.9386 | + | 42.2593i | 0.508826 | + | 0.259260i | 0.689503 | − | 0.724283i | \(-0.257829\pi\) |
−0.180677 | + | 0.983542i | \(0.557829\pi\) | |||||||
\(164\) | −243.217 | − | 79.0259i | −1.48303 | − | 0.481865i | ||||
\(165\) | −12.2969 | − | 67.6515i | −0.0745265 | − | 0.410009i | ||||
\(166\) | 91.6093 | + | 281.944i | 0.551863 | + | 1.69846i | ||||
\(167\) | −234.911 | − | 37.2062i | −1.40665 | − | 0.222792i | −0.593495 | − | 0.804837i | \(-0.702252\pi\) |
−0.813156 | + | 0.582046i | \(0.802252\pi\) | |||||||
\(168\) | −1.92750 | + | 1.92750i | −0.0114732 | + | 0.0114732i | ||||
\(169\) | −16.4979 | − | 22.7075i | −0.0976209 | − | 0.134364i | ||||
\(170\) | −298.178 | + | 227.168i | −1.75399 | + | 1.33628i | ||||
\(171\) | −63.8390 | − | 46.3818i | −0.373328 | − | 0.271238i | ||||
\(172\) | −1.30263 | − | 8.22451i | −0.00757346 | − | 0.0478169i | ||||
\(173\) | 15.0135 | + | 29.4657i | 0.0867833 | + | 0.170322i | 0.930319 | − | 0.366751i | \(-0.119530\pi\) |
−0.843536 | + | 0.537073i | \(0.819530\pi\) | |||||||
\(174\) | 251.232i | 1.44386i | ||||||||
\(175\) | −8.78670 | − | 0.984948i | −0.0502097 | − | 0.00562828i | ||||
\(176\) | −64.4162 | −0.366001 | ||||||||
\(177\) | 115.847 | − | 59.0268i | 0.654501 | − | 0.333485i | ||||
\(178\) | −521.311 | + | 82.5675i | −2.92871 | + | 0.463862i | ||||
\(179\) | 157.338 | − | 216.558i | 0.878985 | − | 1.20982i | −0.0977154 | − | 0.995214i | \(-0.531153\pi\) |
0.976701 | − | 0.214605i | \(-0.0688465\pi\) | |||||||
\(180\) | 1.85685 | + | 81.6949i | 0.0103158 | + | 0.453860i | ||||
\(181\) | −32.1635 | + | 23.3682i | −0.177699 | + | 0.129106i | −0.673079 | − | 0.739570i | \(-0.735029\pi\) |
0.495380 | + | 0.868676i | \(0.335029\pi\) | |||||||
\(182\) | 9.12538 | + | 9.12538i | 0.0501395 | + | 0.0501395i | ||||
\(183\) | 22.8001 | − | 143.954i | 0.124591 | − | 0.786634i | ||||
\(184\) | −54.3931 | + | 17.6734i | −0.295615 | + | 0.0960510i | ||||
\(185\) | 5.53850 | − | 40.9747i | 0.0299378 | − | 0.221485i | ||||
\(186\) | 56.6737 | − | 174.424i | 0.304697 | − | 0.937762i | ||||
\(187\) | −87.9186 | + | 172.550i | −0.470153 | + | 0.922727i | ||||
\(188\) | 209.016 | + | 106.499i | 1.11179 | + | 0.566483i | ||||
\(189\) | −1.74778 | − | 0.567887i | −0.00924749 | − | 0.00300469i | ||||
\(190\) | 400.599 | + | 54.1484i | 2.10841 | + | 0.284992i | ||||
\(191\) | −40.9280 | − | 125.963i | −0.214283 | − | 0.659495i | −0.999204 | − | 0.0398988i | \(-0.987296\pi\) |
0.784921 | − | 0.619596i | \(-0.212704\pi\) | |||||||
\(192\) | 169.207 | + | 26.7997i | 0.881286 | + | 0.139582i | ||||
\(193\) | −31.7199 | + | 31.7199i | −0.164352 | + | 0.164352i | −0.784491 | − | 0.620140i | \(-0.787076\pi\) |
0.620140 | + | 0.784491i | \(0.287076\pi\) | |||||||
\(194\) | 194.097 | + | 267.151i | 1.00050 | + | 1.37707i | ||||
\(195\) | 102.783 | − | 2.33617i | 0.527095 | − | 0.0119804i | ||||
\(196\) | −215.407 | − | 156.502i | −1.09901 | − | 0.798480i | ||||
\(197\) | −26.9222 | − | 169.980i | −0.136661 | − | 0.862844i | −0.956814 | − | 0.290700i | \(-0.906112\pi\) |
0.820153 | − | 0.572144i | \(-0.193888\pi\) | |||||||
\(198\) | 33.2382 | + | 65.2336i | 0.167870 | + | 0.329462i | ||||
\(199\) | − | 26.7052i | − | 0.134197i | −0.997746 | − | 0.0670985i | \(-0.978626\pi\) | ||
0.997746 | − | 0.0670985i | \(-0.0213742\pi\) | |||||||
\(200\) | −54.9569 | − | 96.7254i | −0.274784 | − | 0.483627i | ||||
\(201\) | −73.6179 | −0.366258 | ||||||||
\(202\) | −293.342 | + | 149.465i | −1.45219 | + | 0.739927i | ||||
\(203\) | 16.4842 | − | 2.61084i | 0.0812030 | − | 0.0128613i | ||||
\(204\) | 135.277 | − | 186.193i | 0.663122 | − | 0.912709i | ||||
\(205\) | 142.242 | + | 186.705i | 0.693861 | + | 0.910755i | ||||
\(206\) | 237.298 | − | 172.407i | 1.15193 | − | 0.836928i | ||||
\(207\) | −27.2642 | − | 27.2642i | −0.131711 | − | 0.131711i | ||||
\(208\) | 15.0670 | − | 95.1294i | 0.0724376 | − | 0.457353i | ||||
\(209\) | 198.618 | − | 64.5350i | 0.950326 | − | 0.308780i | ||||
\(210\) | 9.26261 | − | 1.68364i | 0.0441077 | − | 0.00801735i | ||||
\(211\) | 4.07202 | − | 12.5324i | 0.0192987 | − | 0.0593952i | −0.940943 | − | 0.338564i | \(-0.890059\pi\) |
0.960242 | + | 0.279169i | \(0.0900589\pi\) | |||||||
\(212\) | −72.0094 | + | 141.326i | −0.339667 | + | 0.666634i | ||||
\(213\) | 93.6620 | + | 47.7232i | 0.439728 | + | 0.224052i | ||||
\(214\) | 531.414 | + | 172.667i | 2.48324 | + | 0.806855i | ||||
\(215\) | −3.31406 | + | 6.88674i | −0.0154142 | + | 0.0320314i | ||||
\(216\) | −7.14522 | − | 21.9907i | −0.0330797 | − | 0.101809i | ||||
\(217\) | −12.0335 | − | 1.90592i | −0.0554540 | − | 0.00878305i | ||||
\(218\) | −204.077 | + | 204.077i | −0.936134 | + | 0.936134i | ||||
\(219\) | 96.6740 | + | 133.060i | 0.441434 | + | 0.607581i | ||||
\(220\) | −177.807 | − | 123.110i | −0.808215 | − | 0.559592i | ||||
\(221\) | −234.256 | − | 170.197i | −1.05998 | − | 0.770123i | ||||
\(222\) | 6.88706 | + | 43.4832i | 0.0310228 | + | 0.195870i | ||||
\(223\) | −99.4164 | − | 195.116i | −0.445814 | − | 0.874958i | −0.999118 | − | 0.0419796i | \(-0.986634\pi\) |
0.553305 | − | 0.832979i | \(-0.313366\pi\) | |||||||
\(224\) | − | 15.1148i | − | 0.0674769i | ||||||
\(225\) | 41.2816 | − | 62.6166i | 0.183474 | − | 0.278296i | ||||
\(226\) | −45.3503 | −0.200665 | ||||||||
\(227\) | 133.983 | − | 68.2679i | 0.590235 | − | 0.300740i | −0.133247 | − | 0.991083i | \(-0.542540\pi\) |
0.723482 | + | 0.690343i | \(0.242540\pi\) | |||||||
\(228\) | −245.134 | + | 38.8254i | −1.07515 | + | 0.170287i | ||||
\(229\) | −218.119 | + | 300.215i | −0.952483 | + | 1.31098i | −0.00206788 | + | 0.999998i | \(0.500658\pi\) |
−0.950415 | + | 0.310983i | \(0.899342\pi\) | |||||||
\(230\) | 189.195 | + | 56.7538i | 0.822587 | + | 0.246756i | ||||
\(231\) | 3.93478 | − | 2.85879i | 0.0170337 | − | 0.0123757i | ||||
\(232\) | 148.487 | + | 148.487i | 0.640028 | + | 0.640028i | ||||
\(233\) | 11.6039 | − | 73.2641i | 0.0498021 | − | 0.314438i | −0.950194 | − | 0.311659i | \(-0.899115\pi\) |
0.999996 | − | 0.00277928i | \(-0.000884672\pi\) | |||||||
\(234\) | −104.111 | + | 33.8277i | −0.444918 | + | 0.144563i | ||||
\(235\) | −102.080 | − | 189.567i | −0.434383 | − | 0.806668i | ||||
\(236\) | 126.369 | − | 388.923i | 0.535461 | − | 1.64798i | ||||
\(237\) | −83.4326 | + | 163.746i | −0.352036 | + | 0.690910i | ||||
\(238\) | −23.6249 | − | 12.0375i | −0.0992644 | − | 0.0505777i | ||||
\(239\) | 216.055 | + | 70.2006i | 0.903996 | + | 0.293726i | 0.723885 | − | 0.689920i | \(-0.242354\pi\) |
0.180111 | + | 0.983646i | \(0.442354\pi\) | |||||||
\(240\) | −50.7989 | − | 48.5410i | −0.211662 | − | 0.202254i | ||||
\(241\) | −106.433 | − | 327.566i | −0.441629 | − | 1.35919i | −0.886139 | − | 0.463420i | \(-0.846622\pi\) |
0.444510 | − | 0.895774i | \(-0.353378\pi\) | |||||||
\(242\) | 175.962 | + | 27.8696i | 0.727115 | + | 0.115164i | ||||
\(243\) | 11.0227 | − | 11.0227i | 0.0453609 | − | 0.0453609i | ||||
\(244\) | −269.450 | − | 370.866i | −1.10430 | − | 1.51994i | ||||
\(245\) | 80.7776 | + | 230.638i | 0.329704 | + | 0.941380i | ||||
\(246\) | −202.187 | − | 146.898i | −0.821899 | − | 0.597145i | ||||
\(247\) | 48.8478 | + | 308.413i | 0.197764 | + | 1.24863i | ||||
\(248\) | −69.5942 | − | 136.586i | −0.280622 | − | 0.550751i | ||||
\(249\) | 167.053i | 0.670895i | ||||||||
\(250\) | −34.1133 | + | 382.697i | −0.136453 | + | 1.53079i | ||||
\(251\) | −210.120 | −0.837130 | −0.418565 | − | 0.908187i | \(-0.637467\pi\) | ||||
−0.418565 | + | 0.908187i | \(0.637467\pi\) | |||||||
\(252\) | −5.15009 | + | 2.62410i | −0.0204369 | + | 0.0104131i | ||||
\(253\) | 100.789 | − | 15.9633i | 0.398374 | − | 0.0630962i | ||||
\(254\) | 73.4094 | − | 101.039i | 0.289013 | − | 0.397793i | ||||
\(255\) | −199.358 | + | 69.8223i | −0.781797 | + | 0.273813i | ||||
\(256\) | 10.8275 | − | 7.86664i | 0.0422949 | − | 0.0307290i | ||||
\(257\) | −181.816 | − | 181.816i | −0.707456 | − | 0.707456i | 0.258544 | − | 0.966000i | \(-0.416757\pi\) |
−0.966000 | + | 0.258544i | \(0.916757\pi\) | |||||||
\(258\) | 1.27301 | − | 8.03746i | 0.00493414 | − | 0.0311529i | ||||
\(259\) | 2.78151 | − | 0.903768i | 0.0107394 | − | 0.00348945i | ||||
\(260\) | 223.397 | − | 233.789i | 0.859221 | − | 0.899188i | ||||
\(261\) | −43.7476 | + | 134.641i | −0.167615 | + | 0.515867i | ||||
\(262\) | 209.662 | − | 411.486i | 0.800238 | − | 1.57056i | ||||
\(263\) | 68.9955 | + | 35.1550i | 0.262340 | + | 0.133669i | 0.580214 | − | 0.814464i | \(-0.302969\pi\) |
−0.317874 | + | 0.948133i | \(0.602969\pi\) | |||||||
\(264\) | 58.2001 | + | 18.9104i | 0.220455 | + | 0.0716301i | ||||
\(265\) | 128.176 | − | 69.0216i | 0.483683 | − | 0.260459i | ||||
\(266\) | 8.83590 | + | 27.1941i | 0.0332177 | + | 0.102233i | ||||
\(267\) | −293.761 | − | 46.5271i | −1.10023 | − | 0.174259i | ||||
\(268\) | −163.728 | + | 163.728i | −0.610926 | + | 0.610926i | ||||
\(269\) | −187.609 | − | 258.221i | −0.697430 | − | 0.959931i | −0.999977 | − | 0.00679606i | \(-0.997837\pi\) |
0.302546 | − | 0.953135i | \(-0.402163\pi\) | |||||||
\(270\) | −22.9451 | + | 76.4901i | −0.0849820 | + | 0.283297i | ||||
\(271\) | 286.845 | + | 208.405i | 1.05847 | + | 0.769022i | 0.973804 | − | 0.227387i | \(-0.0730184\pi\) |
0.0846638 | + | 0.996410i | \(0.473018\pi\) | |||||||
\(272\) | 30.9564 | + | 195.451i | 0.113810 | + | 0.718571i | ||||
\(273\) | 3.30149 | + | 6.47953i | 0.0120934 | + | 0.0237346i | ||||
\(274\) | 49.6802i | 0.181314i | ||||||||
\(275\) | 69.8514 | + | 185.796i | 0.254005 | + | 0.675623i | ||||
\(276\) | −121.273 | −0.439393 | ||||||||
\(277\) | 295.312 | − | 150.469i | 1.06611 | − | 0.543209i | 0.169271 | − | 0.985570i | \(-0.445859\pi\) |
0.896837 | + | 0.442360i | \(0.145859\pi\) | |||||||
\(278\) | 145.016 | − | 22.9683i | 0.521641 | − | 0.0826198i | ||||
\(279\) | 60.7456 | − | 83.6092i | 0.217726 | − | 0.299674i | ||||
\(280\) | 4.47942 | − | 6.46960i | 0.0159979 | − | 0.0231057i | ||||
\(281\) | −87.3274 | + | 63.4471i | −0.310774 | + | 0.225790i | −0.732228 | − | 0.681059i | \(-0.761520\pi\) |
0.421455 | + | 0.906849i | \(0.361520\pi\) | |||||||
\(282\) | 162.103 | + | 162.103i | 0.574835 | + | 0.574835i | ||||
\(283\) | 20.9100 | − | 132.020i | 0.0738868 | − | 0.466503i | −0.922808 | − | 0.385261i | \(-0.874111\pi\) |
0.996694 | − | 0.0812417i | \(-0.0258886\pi\) | |||||||
\(284\) | 314.444 | − | 102.169i | 1.10720 | − | 0.359751i | ||||
\(285\) | 205.261 | + | 98.7766i | 0.720216 | + | 0.346585i | ||||
\(286\) | 89.5275 | − | 275.537i | 0.313033 | − | 0.963417i | ||||
\(287\) | −7.53730 | + | 14.7928i | −0.0262624 | + | 0.0515428i | ||||
\(288\) | 114.237 | + | 58.2068i | 0.396657 | + | 0.202107i | ||||
\(289\) | 290.945 | + | 94.5339i | 1.00673 | + | 0.327107i | ||||
\(290\) | −129.701 | − | 713.553i | −0.447245 | − | 2.46053i | ||||
\(291\) | 57.5015 | + | 176.971i | 0.197600 | + | 0.608149i | ||||
\(292\) | 510.935 | + | 80.9242i | 1.74978 | + | 0.277138i | ||||
\(293\) | −255.208 | + | 255.208i | −0.871017 | + | 0.871017i | −0.992583 | − | 0.121566i | \(-0.961208\pi\) |
0.121566 | + | 0.992583i | \(0.461208\pi\) | |||||||
\(294\) | −152.943 | − | 210.508i | −0.520214 | − | 0.716013i | ||||
\(295\) | −298.556 | + | 227.456i | −1.01205 | + | 0.771036i | ||||
\(296\) | 29.7705 | + | 21.6295i | 0.100576 | + | 0.0730728i | ||||
\(297\) | 6.45386 | + | 40.7481i | 0.0217302 | + | 0.137199i | ||||
\(298\) | −151.237 | − | 296.819i | −0.507506 | − | 0.996037i | ||||
\(299\) | 152.578i | 0.510293i | ||||||||
\(300\) | −47.4496 | − | 231.072i | −0.158165 | − | 0.770241i | ||||
\(301\) | −0.540595 | −0.00179600 | ||||||||
\(302\) | −163.908 | + | 83.5152i | −0.542741 | + | 0.276540i | ||||
\(303\) | −183.236 | + | 29.0217i | −0.604738 | + | 0.0957811i | ||||
\(304\) | 125.434 | − | 172.645i | 0.412612 | − | 0.567912i | ||||
\(305\) | 9.56055 | + | 420.631i | 0.0313461 | + | 1.37912i | ||||
\(306\) | 181.958 | − | 132.200i | 0.594634 | − | 0.432027i | ||||
\(307\) | −299.563 | − | 299.563i | −0.975775 | − | 0.975775i | 0.0239382 | − | 0.999713i | \(-0.492380\pi\) |
−0.999713 | + | 0.0239382i | \(0.992380\pi\) | |||||||
\(308\) | 2.39304 | − | 15.1091i | 0.00776962 | − | 0.0490555i | ||||
\(309\) | 157.195 | − | 51.0759i | 0.508723 | − | 0.165294i | ||||
\(310\) | −70.9175 | + | 524.659i | −0.228766 | + | 1.69245i | ||||
\(311\) | −11.4518 | + | 35.2451i | −0.0368226 | + | 0.113328i | −0.967778 | − | 0.251804i | \(-0.918976\pi\) |
0.930956 | + | 0.365132i | \(0.118976\pi\) | |||||||
\(312\) | −41.5397 | + | 81.5263i | −0.133140 | + | 0.261302i | ||||
\(313\) | 374.766 | + | 190.953i | 1.19734 | + | 0.610073i | 0.934912 | − | 0.354880i | \(-0.115478\pi\) |
0.262424 | + | 0.964953i | \(0.415478\pi\) | |||||||
\(314\) | −360.446 | − | 117.116i | −1.14792 | − | 0.372981i | ||||
\(315\) | 5.25723 | + | 0.710613i | 0.0166896 | + | 0.00225592i | ||||
\(316\) | 178.618 | + | 549.731i | 0.565248 | + | 1.73966i | ||||
\(317\) | 162.025 | + | 25.6622i | 0.511119 | + | 0.0809533i | 0.406667 | − | 0.913577i | \(-0.366691\pi\) |
0.104452 | + | 0.994530i | \(0.466691\pi\) | |||||||
\(318\) | −109.606 | + | 109.606i | −0.344674 | + | 0.344674i | ||||
\(319\) | −220.229 | − | 303.119i | −0.690373 | − | 0.950218i | ||||
\(320\) | −494.419 | + | 11.2377i | −1.54506 | + | 0.0351178i | ||||
\(321\) | 254.731 | + | 185.073i | 0.793554 | + | 0.576550i | ||||
\(322\) | 2.18565 | + | 13.7996i | 0.00678772 | + | 0.0428560i | ||||
\(323\) | −291.261 | − | 571.632i | −0.901738 | − | 1.76976i | ||||
\(324\) | − | 49.0296i | − | 0.151326i | ||||||
\(325\) | −290.721 | + | 59.6982i | −0.894526 | + | 0.183687i | ||||
\(326\) | 286.114 | 0.877652 | ||||||||
\(327\) | −144.906 | + | 73.8335i | −0.443139 | + | 0.225790i | ||||
\(328\) | −206.321 | + | 32.6780i | −0.629027 | + | 0.0996280i | ||||
\(329\) | 8.95156 | − | 12.3208i | 0.0272084 | − | 0.0374491i | ||||
\(330\) | −128.081 | − | 168.118i | −0.388124 | − | 0.509448i | ||||
\(331\) | 265.305 | − | 192.756i | 0.801527 | − | 0.582343i | −0.109835 | − | 0.993950i | \(-0.535032\pi\) |
0.911362 | + | 0.411607i | \(0.135032\pi\) | |||||||
\(332\) | 371.530 | + | 371.530i | 1.11907 | + | 1.11907i | ||||
\(333\) | −3.88089 | + | 24.5030i | −0.0116543 | + | 0.0735825i | ||||
\(334\) | −695.269 | + | 225.907i | −2.08164 | + | 0.676367i | ||||
\(335\) | 209.091 | − | 38.0060i | 0.624151 | − | 0.113451i | ||||
\(336\) | 1.53578 | − | 4.72666i | 0.00457079 | − | 0.0140674i | ||||
\(337\) | 207.965 | − | 408.154i | 0.617107 | − | 1.21114i | −0.345035 | − | 0.938590i | \(-0.612133\pi\) |
0.962142 | − | 0.272550i | \(-0.0878670\pi\) | |||||||
\(338\) | −76.8697 | − | 39.1671i | −0.227425 | − | 0.115879i | ||||
\(339\) | −24.3043 | − | 7.89696i | −0.0716942 | − | 0.0232949i | ||||
\(340\) | −288.091 | + | 598.665i | −0.847328 | + | 1.76078i | ||||
\(341\) | 84.5206 | + | 260.128i | 0.247861 | + | 0.762838i | ||||
\(342\) | −239.559 | − | 37.9424i | −0.700465 | − | 0.110943i | ||||
\(343\) | −24.4768 | + | 24.4768i | −0.0713608 | + | 0.0713608i | ||||
\(344\) | −3.99802 | − | 5.50280i | −0.0116221 | − | 0.0159965i | ||||
\(345\) | 91.5115 | + | 63.3607i | 0.265251 | + | 0.183654i | ||||
\(346\) | 82.2351 | + | 59.7473i | 0.237674 | + | 0.172680i | ||||
\(347\) | 60.7454 | + | 383.531i | 0.175059 | + | 1.10528i | 0.906137 | + | 0.422984i | \(0.139017\pi\) |
−0.731078 | + | 0.682293i | \(0.760983\pi\) | |||||||
\(348\) | 202.150 | + | 396.742i | 0.580891 | + | 1.14006i | ||||
\(349\) | − | 160.925i | − | 0.461103i | −0.973060 | − | 0.230552i | \(-0.925947\pi\) | ||
0.973060 | − | 0.230552i | \(-0.0740530\pi\) | |||||||
\(350\) | −25.4386 | + | 9.56382i | −0.0726817 | + | 0.0273252i | ||||
\(351\) | −61.6860 | −0.175744 | ||||||||
\(352\) | −302.338 | + | 154.049i | −0.858913 | + | 0.437638i | ||||
\(353\) | −70.5532 | + | 11.1745i | −0.199868 | + | 0.0316559i | −0.255565 | − | 0.966792i | \(-0.582262\pi\) |
0.0556979 | + | 0.998448i | \(0.482262\pi\) | |||||||
\(354\) | 234.901 | − | 323.313i | 0.663562 | − | 0.913315i | ||||
\(355\) | −290.658 | − | 87.1901i | −0.818754 | − | 0.245606i | ||||
\(356\) | −756.809 | + | 549.854i | −2.12587 | + | 1.54453i | ||||
\(357\) | −10.5650 | − | 10.5650i | −0.0295940 | − | 0.0295940i | ||||
\(358\) | 128.710 | − | 812.643i | 0.359525 | − | 2.26995i | ||||
\(359\) | 96.8130 | − | 31.4565i | 0.269674 | − | 0.0876225i | −0.171058 | − | 0.985261i | \(-0.554719\pi\) |
0.440733 | + | 0.897638i | \(0.354719\pi\) | |||||||
\(360\) | 31.6469 | + | 58.7696i | 0.0879080 | + | 0.163249i | ||||
\(361\) | −102.240 | + | 314.661i | −0.283212 | + | 0.871638i | ||||
\(362\) | −55.4774 | + | 108.881i | −0.153253 | + | 0.300775i | ||||
\(363\) | 89.4491 | + | 45.5766i | 0.246416 | + | 0.125555i | ||||
\(364\) | 21.7533 | + | 7.06806i | 0.0597617 | + | 0.0194177i | ||||
\(365\) | −343.268 | − | 328.011i | −0.940461 | − | 0.898660i | ||||
\(366\) | −138.436 | − | 426.063i | −0.378241 | − | 1.16411i | ||||
\(367\) | 414.375 | + | 65.6306i | 1.12909 | + | 0.178830i | 0.692906 | − | 0.721028i | \(-0.256330\pi\) |
0.436183 | + | 0.899858i | \(0.356330\pi\) | |||||||
\(368\) | 73.7328 | − | 73.7328i | 0.200361 | − | 0.200361i | ||||
\(369\) | −82.7774 | − | 113.933i | −0.224329 | − | 0.308762i | ||||
\(370\) | −42.0093 | − | 119.946i | −0.113539 | − | 0.324179i | ||||
\(371\) | 8.33070 | + | 6.05261i | 0.0224547 | + | 0.0163143i | ||||
\(372\) | −50.8492 | − | 321.049i | −0.136691 | − | 0.863035i | ||||
\(373\) | 179.734 | + | 352.748i | 0.481861 | + | 0.945705i | 0.996115 | + | 0.0880667i | \(0.0280689\pi\) |
−0.514254 | + | 0.857638i | \(0.671931\pi\) | |||||||
\(374\) | 595.248i | 1.59157i | ||||||||
\(375\) | −84.9220 | + | 199.156i | −0.226459 | + | 0.531084i | ||||
\(376\) | 191.617 | 0.509620 | ||||||||
\(377\) | 499.156 | − | 254.333i | 1.32402 | − | 0.674623i | ||||
\(378\) | −5.57908 | + | 0.883640i | −0.0147595 | + | 0.00233767i | ||||
\(379\) | −364.178 | + | 501.248i | −0.960892 | + | 1.32255i | −0.0143757 | + | 0.999897i | \(0.504576\pi\) |
−0.946516 | + | 0.322657i | \(0.895424\pi\) | |||||||
\(380\) | 676.189 | − | 236.825i | 1.77944 | − | 0.623224i | ||||
\(381\) | 56.9360 | − | 41.3665i | 0.149438 | − | 0.108573i | ||||
\(382\) | −287.864 | − | 287.864i | −0.753570 | − | 0.753570i | ||||
\(383\) | 38.3398 | − | 242.068i | 0.100104 | − | 0.632031i | −0.885716 | − | 0.464227i | \(-0.846332\pi\) |
0.985820 | − | 0.167804i | \(-0.0536677\pi\) | |||||||
\(384\) | 219.204 | − | 71.2237i | 0.570844 | − | 0.185478i | ||||
\(385\) | −9.69975 | + | 10.1509i | −0.0251942 | + | 0.0263661i | ||||
\(386\) | −42.6081 | + | 131.134i | −0.110384 | + | 0.339726i | ||||
\(387\) | 2.08182 | − | 4.08580i | 0.00537937 | − | 0.0105576i | ||||
\(388\) | 521.474 | + | 265.704i | 1.34401 | + | 0.684805i | ||||
\(389\) | 21.1457 | + | 6.87066i | 0.0543591 | + | 0.0176624i | 0.336070 | − | 0.941837i | \(-0.390902\pi\) |
−0.281711 | + | 0.959499i | \(0.590902\pi\) | |||||||
\(390\) | 278.233 | − | 149.826i | 0.713419 | − | 0.384169i | ||||
\(391\) | −96.8717 | − | 298.141i | −0.247754 | − | 0.762508i | ||||
\(392\) | −214.811 | − | 34.0228i | −0.547988 | − | 0.0867928i | ||||
\(393\) | 184.016 | − | 184.016i | 0.468234 | − | 0.468234i | ||||
\(394\) | −310.929 | − | 427.957i | −0.789159 | − | 1.08618i | ||||
\(395\) | 152.431 | − | 508.145i | 0.385901 | − | 1.28644i | ||||
\(396\) | 104.978 | + | 76.2712i | 0.265097 | + | 0.192604i | ||||
\(397\) | −27.3358 | − | 172.591i | −0.0688559 | − | 0.434739i | −0.997900 | − | 0.0647705i | \(-0.979368\pi\) |
0.929044 | − | 0.369968i | \(-0.120632\pi\) | |||||||
\(398\) | −37.2654 | − | 73.1375i | −0.0936317 | − | 0.183763i | ||||
\(399\) | 16.1126i | 0.0403824i | ||||||||
\(400\) | 169.339 | + | 111.641i | 0.423348 | + | 0.279103i | ||||
\(401\) | −352.160 | −0.878204 | −0.439102 | − | 0.898437i | \(-0.644703\pi\) | ||||
−0.439102 | + | 0.898437i | \(0.644703\pi\) | |||||||
\(402\) | −201.618 | + | 102.729i | −0.501536 | + | 0.255545i | ||||
\(403\) | −403.924 | + | 63.9753i | −1.00229 | + | 0.158748i | ||||
\(404\) | −342.976 | + | 472.066i | −0.848951 | + | 1.16848i | ||||
\(405\) | −25.6163 | + | 36.9974i | −0.0632500 | + | 0.0913516i | ||||
\(406\) | 41.5021 | − | 30.1530i | 0.102222 | − | 0.0742685i | ||||
\(407\) | −46.4267 | − | 46.4267i | −0.114070 | − | 0.114070i | ||||
\(408\) | 29.4085 | − | 185.678i | 0.0720797 | − | 0.455093i | ||||
\(409\) | −454.282 | + | 147.605i | −1.11071 | + | 0.360893i | −0.806217 | − | 0.591620i | \(-0.798489\pi\) |
−0.304498 | + | 0.952513i | \(0.598489\pi\) | |||||||
\(410\) | 650.092 | + | 312.839i | 1.58559 | + | 0.763023i | ||||
\(411\) | −8.65092 | + | 26.6248i | −0.0210485 | + | 0.0647805i | ||||
\(412\) | 236.013 | − | 463.201i | 0.572846 | − | 1.12427i | ||||
\(413\) | −23.6548 | − | 12.0527i | −0.0572756 | − | 0.0291834i | ||||
\(414\) | −112.714 | − | 36.6230i | −0.272256 | − | 0.0884613i | ||||
\(415\) | −86.2426 | − | 474.466i | −0.207814 | − | 1.14329i | ||||
\(416\) | −156.781 | − | 482.522i | −0.376877 | − | 1.15991i | ||||
\(417\) | 81.7172 | + | 12.9427i | 0.195965 | + | 0.0310377i | ||||
\(418\) | 453.901 | − | 453.901i | 1.08589 | − | 1.08589i | ||||
\(419\) | 362.429 | + | 498.840i | 0.864985 | + | 1.19055i | 0.980358 | + | 0.197227i | \(0.0631937\pi\) |
−0.115373 | + | 0.993322i | \(0.536806\pi\) | |||||||
\(420\) | 13.2726 | − | 10.1118i | 0.0316015 | − | 0.0240757i | ||||
\(421\) | 374.959 | + | 272.424i | 0.890639 | + | 0.647087i | 0.936044 | − | 0.351882i | \(-0.114458\pi\) |
−0.0454057 | + | 0.998969i | \(0.514458\pi\) | |||||||
\(422\) | −6.33613 | − | 40.0047i | −0.0150145 | − | 0.0947980i | ||||
\(423\) | 58.6477 | + | 115.103i | 0.138647 | + | 0.272110i | ||||
\(424\) | 129.562i | 0.305571i | ||||||||
\(425\) | 530.173 | − | 301.231i | 1.24747 | − | 0.708778i | ||||
\(426\) | 323.107 | 0.758467 | ||||||||
\(427\) | −26.5168 | + | 13.5110i | −0.0621003 | + | 0.0316417i | ||||
\(428\) | 978.134 | − | 154.921i | 2.28536 | − | 0.361966i | ||||
\(429\) | 95.9598 | − | 132.077i | 0.223683 | − | 0.307873i | ||||
\(430\) | 0.533799 | + | 23.4853i | 0.00124139 | + | 0.0546170i | ||||
\(431\) | −19.0751 | + | 13.8589i | −0.0442578 | + | 0.0321552i | −0.609694 | − | 0.792637i | \(-0.708708\pi\) |
0.565436 | + | 0.824792i | \(0.308708\pi\) | |||||||
\(432\) | 29.8096 | + | 29.8096i | 0.0690038 | + | 0.0690038i | ||||
\(433\) | −17.5716 | + | 110.943i | −0.0405810 | + | 0.256218i | −0.999635 | − | 0.0270038i | \(-0.991403\pi\) |
0.959054 | + | 0.283222i | \(0.0914034\pi\) | |||||||
\(434\) | −35.6158 | + | 11.5723i | −0.0820640 | + | 0.0266642i | ||||
\(435\) | 54.7427 | − | 404.995i | 0.125845 | − | 0.931023i | ||||
\(436\) | −158.068 | + | 486.483i | −0.362541 | + | 1.11579i | ||||
\(437\) | −153.476 | + | 301.213i | −0.351203 | + | 0.689276i | ||||
\(438\) | 450.439 | + | 229.510i | 1.02840 | + | 0.523995i | ||||
\(439\) | 519.678 | + | 168.854i | 1.18378 | + | 0.384632i | 0.833768 | − | 0.552114i | \(-0.186179\pi\) |
0.350008 | + | 0.936747i | \(0.386179\pi\) | |||||||
\(440\) | −175.063 | − | 23.6631i | −0.397871 | − | 0.0537797i | ||||
\(441\) | −45.3095 | − | 139.448i | −0.102743 | − | 0.316210i | ||||
\(442\) | −879.057 | − | 139.229i | −1.98882 | − | 0.314998i | ||||
\(443\) | −165.809 | + | 165.809i | −0.374287 | + | 0.374287i | −0.869036 | − | 0.494749i | \(-0.835260\pi\) |
0.494749 | + | 0.869036i | \(0.335260\pi\) | |||||||
\(444\) | 45.8640 | + | 63.1264i | 0.103297 | + | 0.142177i | ||||
\(445\) | 858.362 | − | 19.5098i | 1.92890 | − | 0.0438422i | ||||
\(446\) | −544.544 | − | 395.634i | −1.22095 | − | 0.887072i | ||||
\(447\) | −29.3657 | − | 185.408i | −0.0656951 | − | 0.414782i | ||||
\(448\) | −15.8811 | − | 31.1685i | −0.0354490 | − | 0.0695725i | ||||
\(449\) | − | 201.205i | − | 0.448119i | −0.974576 | − | 0.224059i | \(-0.928069\pi\) | ||
0.974576 | − | 0.224059i | \(-0.0719309\pi\) | |||||||
\(450\) | 25.6804 | − | 229.094i | 0.0570675 | − | 0.509097i | ||||
\(451\) | 372.715 | 0.826419 | ||||||||
\(452\) | −71.6165 | + | 36.4904i | −0.158444 | + | 0.0807311i | ||||
\(453\) | −102.385 | + | 16.2162i | −0.226015 | + | 0.0357973i | ||||
\(454\) | 271.677 | − | 373.931i | 0.598407 | − | 0.823636i | ||||
\(455\) | −12.7220 | − | 16.6988i | −0.0279605 | − | 0.0367007i | ||||
\(456\) | −164.013 | + | 119.162i | −0.359677 | + | 0.261320i | ||||
\(457\) | 449.591 | + | 449.591i | 0.983788 | + | 0.983788i | 0.999871 | − | 0.0160822i | \(-0.00511934\pi\) |
−0.0160822 | + | 0.999871i | \(0.505119\pi\) | |||||||
\(458\) | −178.431 | + | 1126.57i | −0.389587 | + | 2.45976i | ||||
\(459\) | 120.536 | − | 39.1645i | 0.262606 | − | 0.0853258i | ||||
\(460\) | 344.440 | − | 62.6081i | 0.748782 | − | 0.136105i | ||||
\(461\) | −130.749 | + | 402.403i | −0.283620 | + | 0.872892i | 0.703189 | + | 0.711003i | \(0.251759\pi\) |
−0.986809 | + | 0.161889i | \(0.948241\pi\) | |||||||
\(462\) | 6.78694 | − | 13.3201i | 0.0146903 | − | 0.0288314i | ||||
\(463\) | −585.996 | − | 298.580i | −1.26565 | − | 0.644881i | −0.313233 | − | 0.949676i | \(-0.601412\pi\) |
−0.952418 | + | 0.304795i | \(0.901412\pi\) | |||||||
\(464\) | −364.122 | − | 118.310i | −0.784746 | − | 0.254979i | ||||
\(465\) | −129.366 | + | 268.828i | −0.278207 | + | 0.578126i | ||||
\(466\) | −70.4559 | − | 216.841i | −0.151193 | − | 0.465324i | ||||
\(467\) | −649.664 | − | 102.897i | −1.39114 | − | 0.220335i | −0.584509 | − | 0.811387i | \(-0.698713\pi\) |
−0.806634 | + | 0.591052i | \(0.798713\pi\) | |||||||
\(468\) | −137.191 | + | 137.191i | −0.293144 | + | 0.293144i | ||||
\(469\) | 8.83566 | + | 12.1612i | 0.0188394 | + | 0.0259302i | ||||
\(470\) | −544.095 | − | 376.721i | −1.15765 | − | 0.801533i | ||||
\(471\) | −172.778 | − | 125.531i | −0.366832 | − | 0.266519i | ||||
\(472\) | −52.2547 | − | 329.923i | −0.110709 | − | 0.698990i | ||||
\(473\) | 5.50968 | + | 10.8134i | 0.0116484 | + | 0.0228612i | ||||
\(474\) | 564.875i | 1.19172i | ||||||||
\(475\) | −633.981 | − | 174.578i | −1.33470 | − | 0.367533i | ||||
\(476\) | −46.9939 | −0.0987267 | ||||||||
\(477\) | −77.8267 | + | 39.6547i | −0.163159 | + | 0.0831336i | ||||
\(478\) | 689.671 | − | 109.233i | 1.44283 | − | 0.228521i | ||||
\(479\) | −394.709 | + | 543.270i | −0.824026 | + | 1.13418i | 0.164979 | + | 0.986297i | \(0.447244\pi\) |
−0.989006 | + | 0.147878i | \(0.952756\pi\) | |||||||
\(480\) | −354.508 | − | 106.344i | −0.738559 | − | 0.221549i | ||||
\(481\) | 79.4218 | − | 57.7033i | 0.165118 | − | 0.119965i | ||||
\(482\) | −748.584 | − | 748.584i | −1.55308 | − | 1.55308i | ||||
\(483\) | −1.23162 | + | 7.77614i | −0.00254994 | + | 0.0160997i | ||||
\(484\) | 300.301 | − | 97.5736i | 0.620456 | − | 0.201598i | ||||
\(485\) | −254.680 | − | 472.951i | −0.525113 | − | 0.975156i | ||||
\(486\) | 14.8064 | − | 45.5694i | 0.0304658 | − | 0.0937642i | ||||
\(487\) | −47.8556 | + | 93.9218i | −0.0982660 | + | 0.192858i | −0.934906 | − | 0.354895i | \(-0.884517\pi\) |
0.836640 | + | 0.547753i | \(0.184517\pi\) | |||||||
\(488\) | −333.638 | − | 169.997i | −0.683685 | − | 0.348355i | ||||
\(489\) | 153.336 | + | 49.8218i | 0.313570 | + | 0.101885i | ||||
\(490\) | 543.067 | + | 518.929i | 1.10830 | + | 1.05904i | ||||
\(491\) | 52.5414 | + | 161.706i | 0.107009 | + | 0.329340i | 0.990197 | − | 0.139680i | \(-0.0446073\pi\) |
−0.883188 | + | 0.469020i | \(0.844607\pi\) | |||||||
\(492\) | −437.490 | − | 69.2916i | −0.889207 | − | 0.140836i | ||||
\(493\) | −813.888 | + | 813.888i | −1.65089 | + | 1.65089i | ||||
\(494\) | 564.150 | + | 776.486i | 1.14200 | + | 1.57183i | ||||
\(495\) | −39.3669 | − | 112.401i | −0.0795291 | − | 0.227073i | ||||
\(496\) | 226.111 | + | 164.280i | 0.455870 | + | 0.331209i | ||||
\(497\) | −3.35778 | − | 21.2002i | −0.00675609 | − | 0.0426563i | ||||
\(498\) | 233.112 | + | 457.508i | 0.468096 | + | 0.918690i | ||||
\(499\) | − | 290.197i | − | 0.581557i | −0.956790 | − | 0.290779i | \(-0.906086\pi\) | ||
0.956790 | − | 0.290779i | \(-0.0939143\pi\) | |||||||
\(500\) | 254.060 | + | 631.798i | 0.508120 | + | 1.26360i | ||||
\(501\) | −411.949 | −0.822254 | ||||||||
\(502\) | −575.455 | + | 293.209i | −1.14632 | + | 0.584081i | ||||
\(503\) | 129.151 | − | 20.4555i | 0.256762 | − | 0.0406671i | −0.0267264 | − | 0.999643i | \(-0.508508\pi\) |
0.283488 | + | 0.958976i | \(0.408508\pi\) | |||||||
\(504\) | −2.77516 | + | 3.81969i | −0.00550628 | + | 0.00757874i | ||||
\(505\) | 505.446 | − | 177.025i | 1.00088 | − | 0.350544i | ||||
\(506\) | 253.754 | − | 184.363i | 0.501490 | − | 0.364354i | ||||
\(507\) | −34.3761 | − | 34.3761i | −0.0678029 | − | 0.0678029i | ||||
\(508\) | 34.6272 | − | 218.627i | 0.0681637 | − | 0.430369i | ||||
\(509\) | −88.4961 | + | 28.7541i | −0.173863 | + | 0.0564914i | −0.394655 | − | 0.918830i | \(-0.629136\pi\) |
0.220792 | + | 0.975321i | \(0.429136\pi\) | |||||||
\(510\) | −448.550 | + | 469.414i | −0.879510 | + | 0.920420i | ||||
\(511\) | 10.3779 | − | 31.9399i | 0.0203090 | − | 0.0625048i | ||||
\(512\) | −222.975 | + | 437.613i | −0.435498 | + | 0.854713i | ||||
\(513\) | −121.778 | − | 62.0492i | −0.237385 | − | 0.120954i | ||||
\(514\) | −751.653 | − | 244.227i | −1.46236 | − | 0.475150i | ||||
\(515\) | −420.100 | + | 226.220i | −0.815728 | + | 0.439262i | ||||
\(516\) | −4.45690 | − | 13.7169i | −0.00863741 | − | 0.0265832i | ||||
\(517\) | −337.682 | − | 53.4836i | −0.653157 | − | 0.103450i | ||||
\(518\) | 6.35658 | − | 6.35658i | 0.0122714 | − | 0.0122714i | ||||
\(519\) | 33.6678 | + | 46.3398i | 0.0648706 | + | 0.0892867i | ||||
\(520\) | 75.8929 | − | 252.997i | 0.145948 | − | 0.486533i | ||||
\(521\) | −55.2207 | − | 40.1202i | −0.105990 | − | 0.0770062i | 0.533528 | − | 0.845782i | \(-0.320866\pi\) |
−0.639518 | + | 0.768776i | \(0.720866\pi\) | |||||||
\(522\) | 68.0720 | + | 429.789i | 0.130406 | + | 0.823351i | ||||
\(523\) | 390.574 | + | 766.544i | 0.746795 | + | 1.46567i | 0.880199 | + | 0.474605i | \(0.157409\pi\) |
−0.133404 | + | 0.991062i | \(0.542591\pi\) | |||||||
\(524\) | − | 818.513i | − | 1.56205i | ||||||
\(525\) | −15.2985 | + | 0.695801i | −0.0291400 | + | 0.00132534i | ||||
\(526\) | 238.015 | 0.452499 | ||||||||
\(527\) | 748.660 | − | 381.461i | 1.42061 | − | 0.723835i | ||||
\(528\) | −110.199 | + | 17.4537i | −0.208709 | + | 0.0330563i | ||||
\(529\) | 213.845 | − | 294.332i | 0.404243 | − | 0.556393i | ||||
\(530\) | 254.720 | − | 367.891i | 0.480604 | − | 0.694134i | ||||
\(531\) | 182.188 | − | 132.368i | 0.343104 | − | 0.249280i | ||||
\(532\) | 35.8348 | + | 35.8348i | 0.0673587 | + | 0.0673587i | ||||
\(533\) | −87.1784 | + | 550.423i | −0.163562 | + | 1.03269i | ||||
\(534\) | −869.448 | + | 282.501i | −1.62818 | + | 0.529028i | ||||
\(535\) | −819.035 | − | 394.139i | −1.53091 | − | 0.736708i | ||||
\(536\) | −58.4463 | + | 179.879i | −0.109042 | + | 0.335595i | ||||
\(537\) | 210.486 | − | 413.102i | 0.391967 | − | 0.769278i | ||||
\(538\) | −874.136 | − | 445.395i | −1.62479 | − | 0.827871i | ||||
\(539\) | 369.061 | + | 119.915i | 0.684713 | + | 0.222477i | ||||
\(540\) | 25.3120 | + | 139.254i | 0.0468740 | + | 0.257879i | ||||
\(541\) | −6.85938 | − | 21.1110i | −0.0126791 | − | 0.0390222i | 0.944517 | − | 0.328463i | \(-0.106531\pi\) |
−0.957196 | + | 0.289441i | \(0.906531\pi\) | |||||||
\(542\) | 1076.40 | + | 170.485i | 1.98598 | + | 0.314548i | ||||
\(543\) | −48.6913 | + | 48.6913i | −0.0896710 | + | 0.0896710i | ||||
\(544\) | 612.707 | + | 843.319i | 1.12630 | + | 1.55022i | ||||
\(545\) | 373.448 | − | 284.512i | 0.685225 | − | 0.522041i | ||||
\(546\) | 18.0836 | + | 13.1385i | 0.0331201 | + | 0.0240632i | ||||
\(547\) | 67.8821 | + | 428.590i | 0.124099 | + | 0.783529i | 0.968718 | + | 0.248162i | \(0.0798266\pi\) |
−0.844620 | + | 0.535367i | \(0.820173\pi\) | |||||||
\(548\) | 39.9744 | + | 78.4541i | 0.0729459 | + | 0.143164i | ||||
\(549\) | − | 252.444i | − | 0.459825i | ||||||
\(550\) | 450.569 | + | 411.367i | 0.819217 | + | 0.747940i | ||||
\(551\) | 1241.25 | 2.25272 | ||||||||
\(552\) | −88.2631 | + | 44.9723i | −0.159897 | + | 0.0814715i | ||||
\(553\) | 37.0634 | − | 5.87027i | 0.0670225 | − | 0.0106153i | ||||
\(554\) | 598.801 | − | 824.179i | 1.08087 | − | 1.48769i | ||||
\(555\) | −1.62734 | − | 71.5972i | −0.00293214 | − | 0.129004i | ||||
\(556\) | 210.526 | − | 152.956i | 0.378644 | − | 0.275101i | ||||
\(557\) | −161.067 | − | 161.067i | −0.289169 | − | 0.289169i | 0.547583 | − | 0.836752i | \(-0.315548\pi\) |
−0.836752 | + | 0.547583i | \(0.815548\pi\) | |||||||
\(558\) | 49.6927 | − | 313.747i | 0.0890550 | − | 0.562271i | ||||
\(559\) | −17.2578 | + | 5.60740i | −0.0308727 | + | 0.0100311i | ||||
\(560\) | −1.92177 | + | 14.2176i | −0.00343174 | + | 0.0253885i | ||||
\(561\) | −103.652 | + | 319.007i | −0.184763 | + | 0.568641i | ||||
\(562\) | −150.627 | + | 295.623i | −0.268020 | + | 0.526019i | ||||
\(563\) | −169.572 | − | 86.4014i | −0.301194 | − | 0.153466i | 0.296862 | − | 0.954920i | \(-0.404060\pi\) |
−0.598056 | + | 0.801454i | \(0.704060\pi\) | |||||||
\(564\) | 386.425 | + | 125.557i | 0.685151 | + | 0.222619i | ||||
\(565\) | 73.1064 | + | 9.88170i | 0.129392 | + | 0.0174897i | ||||
\(566\) | −126.960 | − | 390.743i | −0.224311 | − | 0.690358i | ||||
\(567\) | −3.14384 | − | 0.497935i | −0.00554468 | − | 0.000878192i | ||||
\(568\) | 190.967 | − | 190.967i | 0.336210 | − | 0.336210i | ||||
\(569\) | −249.297 | − | 343.128i | −0.438132 | − | 0.603036i | 0.531664 | − | 0.846955i | \(-0.321567\pi\) |
−0.969796 | + | 0.243919i | \(0.921567\pi\) | |||||||
\(570\) | 699.986 | − | 15.9100i | 1.22805 | − | 0.0279123i | ||||
\(571\) | −148.638 | − | 107.992i | −0.260312 | − | 0.189128i | 0.449972 | − | 0.893042i | \(-0.351434\pi\) |
−0.710285 | + | 0.703914i | \(0.751434\pi\) | |||||||
\(572\) | −80.3264 | − | 507.161i | −0.140431 | − | 0.886645i | ||||
\(573\) | −104.147 | − | 204.400i | −0.181757 | − | 0.356718i | ||||
\(574\) | 51.0308i | 0.0889039i | ||||||||
\(575\) | −292.623 | − | 132.714i | −0.508909 | − | 0.230807i | ||||
\(576\) | 296.728 | 0.515153 | ||||||||
\(577\) | 675.710 | − | 344.292i | 1.17108 | − | 0.596693i | 0.243343 | − | 0.969940i | \(-0.421756\pi\) |
0.927732 | + | 0.373248i | \(0.121756\pi\) | |||||||
\(578\) | 928.728 | − | 147.096i | 1.60680 | − | 0.254492i | ||||
\(579\) | −45.6694 | + | 62.8586i | −0.0788764 | + | 0.108564i | ||||
\(580\) | −778.971 | − | 1022.47i | −1.34305 | − | 1.76288i | ||||
\(581\) | 27.5961 | − | 20.0498i | 0.0474977 | − | 0.0345091i | ||||
\(582\) | 404.432 | + | 404.432i | 0.694900 | + | 0.694900i | ||||
\(583\) | 36.1630 | − | 228.324i | 0.0620292 | − | 0.391637i | ||||
\(584\) | 401.872 | − | 130.576i | 0.688137 | − | 0.223589i | ||||
\(585\) | 175.201 | − | 31.8460i | 0.299490 | − | 0.0544376i | ||||
\(586\) | −342.811 | + | 1055.07i | −0.585002 | + | 1.80045i | ||||
\(587\) | −123.904 | + | 243.176i | −0.211081 | + | 0.414269i | −0.972136 | − | 0.234418i | \(-0.924682\pi\) |
0.761055 | + | 0.648687i | \(0.224682\pi\) | |||||||
\(588\) | −410.907 | − | 209.367i | −0.698821 | − | 0.356067i | ||||
\(589\) | −861.765 | − | 280.004i | −1.46310 | − | 0.475389i | ||||
\(590\) | −500.255 | + | 1039.55i | −0.847890 | + | 1.76195i | ||||
\(591\) | −92.1131 | − | 283.495i | −0.155860 | − | 0.479687i | ||||
\(592\) | −66.2655 | − | 10.4954i | −0.111935 | − | 0.0177287i | ||||
\(593\) | 367.718 | − | 367.718i | 0.620098 | − | 0.620098i | −0.325458 | − | 0.945556i | \(-0.605519\pi\) |
0.945556 | + | 0.325458i | \(0.105519\pi\) | |||||||
\(594\) | 74.5366 | + | 102.591i | 0.125482 | + | 0.172712i | ||||
\(595\) | 35.4613 | + | 24.5527i | 0.0595988 | + | 0.0412650i | ||||
\(596\) | −477.662 | − | 347.042i | −0.801446 | − | 0.582284i | ||||
\(597\) | −7.23584 | − | 45.6853i | −0.0121203 | − | 0.0765247i | ||||
\(598\) | 212.913 | + | 417.865i | 0.356041 | + | 0.698770i | ||||
\(599\) | − | 654.311i | − | 1.09234i | −0.837675 | − | 0.546170i | \(-0.816085\pi\) | ||
0.837675 | − | 0.546170i | \(-0.183915\pi\) | |||||||
\(600\) | −120.224 | − | 150.580i | −0.200374 | − | 0.250967i | ||||
\(601\) | −233.449 | −0.388434 | −0.194217 | − | 0.980959i | \(-0.562217\pi\) | ||||
−0.194217 | + | 0.980959i | \(0.562217\pi\) | |||||||
\(602\) | −1.48053 | + | 0.754367i | −0.00245935 | + | 0.00125310i | ||||
\(603\) | −125.940 | + | 19.9470i | −0.208856 | + | 0.0330795i | ||||
\(604\) | −191.641 | + | 263.772i | −0.317287 | + | 0.436708i | ||||
\(605\) | −277.584 | − | 83.2683i | −0.458816 | − | 0.137634i | ||||
\(606\) | −461.330 | + | 335.176i | −0.761270 | + | 0.553095i | ||||
\(607\) | 581.645 | + | 581.645i | 0.958229 | + | 0.958229i | 0.999162 | − | 0.0409329i | \(-0.0130330\pi\) |
−0.0409329 | + | 0.999162i | \(0.513033\pi\) | |||||||
\(608\) | 175.851 | − | 1110.28i | 0.289229 | − | 1.82612i | ||||
\(609\) | 27.4926 | − | 8.93287i | 0.0451438 | − | 0.0146681i | ||||
\(610\) | 613.148 | + | 1138.64i | 1.00516 | + | 1.86663i | ||||
\(611\) | 157.968 | − | 486.176i | 0.258541 | − | 0.795706i | ||||
\(612\) | 180.972 | − | 355.178i | 0.295706 | − | 0.580357i | ||||
\(613\) | −636.056 | − | 324.087i | −1.03761 | − | 0.528689i | −0.149713 | − | 0.988729i | \(-0.547835\pi\) |
−0.887898 | + | 0.460040i | \(0.847835\pi\) | |||||||
\(614\) | −1238.44 | − | 402.392i | −2.01700 | − | 0.655361i | ||||
\(615\) | 293.924 | + | 280.860i | 0.477926 | + | 0.456683i | ||||
\(616\) | −3.86133 | − | 11.8839i | −0.00626838 | − | 0.0192921i | ||||
\(617\) | −261.364 | − | 41.3960i | −0.423605 | − | 0.0670924i | −0.0590070 | − | 0.998258i | \(-0.518793\pi\) |
−0.364598 | + | 0.931165i | \(0.618793\pi\) | |||||||
\(618\) | 359.238 | − | 359.238i | 0.581291 | − | 0.581291i | ||||
\(619\) | −159.169 | − | 219.077i | −0.257138 | − | 0.353921i | 0.660857 | − | 0.750512i | \(-0.270193\pi\) |
−0.917995 | + | 0.396591i | \(0.870193\pi\) | |||||||
\(620\) | 310.167 | + | 885.596i | 0.500269 | + | 1.42838i | ||||
\(621\) | −54.0288 | − | 39.2543i | −0.0870030 | − | 0.0632114i | ||||
\(622\) | 17.8192 | + | 112.506i | 0.0286482 | + | 0.180878i | ||||
\(623\) | 27.5713 | + | 54.1117i | 0.0442557 | + | 0.0868566i | ||||
\(624\) | − | 166.823i | − | 0.267344i | ||||||
\(625\) | 138.380 | − | 609.488i | 0.221409 | − | 0.975181i | ||||
\(626\) | 1292.84 | 2.06523 | ||||||||
\(627\) | 322.295 | − | 164.218i | 0.514028 | − | 0.261910i | ||||
\(628\) | −663.446 | + | 105.080i | −1.05644 | + | 0.167324i | ||||
\(629\) | −118.556 | + | 163.179i | −0.188484 | + | 0.259426i | ||||
\(630\) | 15.3896 | − | 5.38998i | 0.0244279 | − | 0.00855553i | ||||
\(631\) | −777.204 | + | 564.672i | −1.23170 | + | 0.894884i | −0.997017 | − | 0.0771869i | \(-0.975406\pi\) |
−0.234686 | + | 0.972071i | \(0.575406\pi\) | |||||||
\(632\) | 333.860 | + | 333.860i | 0.528260 | + | 0.528260i | ||||
\(633\) | 3.57043 | − | 22.5428i | 0.00564049 | − | 0.0356127i | ||||
\(634\) | 479.547 | − | 155.814i | 0.756384 | − | 0.245764i | ||||
\(635\) | −140.355 | + | 146.883i | −0.221031 | + | 0.231312i | ||||
\(636\) | −84.8956 | + | 261.282i | −0.133484 | + | 0.410821i | ||||
\(637\) | −263.413 | + | 516.978i | −0.413522 | + | 0.811582i | ||||
\(638\) | −1026.13 | − | 522.837i | −1.60835 | − | 0.819494i | ||||
\(639\) | 173.161 | + | 56.2634i | 0.270987 | + | 0.0880491i | ||||
\(640\) | −585.816 | + | 315.457i | −0.915338 | + | 0.492901i | ||||
\(641\) | 252.698 | + | 777.724i | 0.394224 | + | 1.21330i | 0.929564 | + | 0.368661i | \(0.120184\pi\) |
−0.535340 | + | 0.844637i | \(0.679816\pi\) | |||||||
\(642\) | 955.889 | + | 151.398i | 1.48892 | + | 0.235822i | ||||
\(643\) | 865.400 | − | 865.400i | 1.34588 | − | 1.34588i | 0.455794 | − | 0.890085i | \(-0.349356\pi\) |
0.890085 | − | 0.455794i | \(-0.150644\pi\) | |||||||
\(644\) | 14.5552 | + | 20.0335i | 0.0226012 | + | 0.0311079i | ||||
\(645\) | −3.80347 | + | 12.6793i | −0.00589686 | + | 0.0196578i | ||||
\(646\) | −1595.35 | − | 1159.09i | −2.46959 | − | 1.79426i | ||||
\(647\) | 26.7458 | + | 168.866i | 0.0413381 | + | 0.260999i | 0.999698 | − | 0.0245637i | \(-0.00781966\pi\) |
−0.958360 | + | 0.285562i | \(0.907820\pi\) | |||||||
\(648\) | −18.1820 | − | 35.6841i | −0.0280586 | − | 0.0550681i | ||||
\(649\) | 596.001i | 0.918338i | ||||||||
\(650\) | −712.893 | + | 569.178i | −1.09676 | + | 0.875659i | ||||
\(651\) | −21.1025 | −0.0324155 | ||||||||
\(652\) | 451.827 | − | 230.218i | 0.692987 | − | 0.353094i | ||||
\(653\) | 774.910 | − | 122.734i | 1.18669 | − | 0.187954i | 0.468286 | − | 0.883577i | \(-0.344872\pi\) |
0.718407 | + | 0.695623i | \(0.244872\pi\) | |||||||
\(654\) | −293.825 | + | 404.416i | −0.449274 | + | 0.618373i | ||||
\(655\) | −427.645 | + | 617.645i | −0.652893 | + | 0.942969i | ||||
\(656\) | 308.119 | − | 223.862i | 0.469694 | − | 0.341253i | ||||
\(657\) | 201.436 | + | 201.436i | 0.306599 | + | 0.306599i | ||||
\(658\) | 7.32278 | − | 46.2342i | 0.0111289 | − | 0.0702648i | ||||
\(659\) | 259.236 | − | 84.2308i | 0.393377 | − | 0.127816i | −0.105648 | − | 0.994404i | \(-0.533692\pi\) |
0.499025 | + | 0.866588i | \(0.333692\pi\) | |||||||
\(660\) | −337.537 | − | 162.430i | −0.511419 | − | 0.246107i | ||||
\(661\) | 212.501 | − | 654.010i | 0.321484 | − | 0.989426i | −0.651519 | − | 0.758632i | \(-0.725868\pi\) |
0.973003 | − | 0.230793i | \(-0.0741321\pi\) | |||||||
\(662\) | 457.613 | − | 898.117i | 0.691259 | − | 1.35667i | ||||
\(663\) | −446.864 | − | 227.688i | −0.674002 | − | 0.343421i | ||||
\(664\) | 408.179 | + | 132.625i | 0.614728 | + | 0.199737i | ||||
\(665\) | −8.31828 | − | 45.7632i | −0.0125087 | − | 0.0688168i | ||||
\(666\) | 23.5638 | + | 72.5218i | 0.0353810 | + | 0.108892i | ||||
\(667\) | 599.041 | + | 94.8788i | 0.898113 | + | 0.142247i | ||||
\(668\) | −916.186 | + | 916.186i | −1.37154 | + | 1.37154i | ||||
\(669\) | −222.941 | − | 306.853i | −0.333246 | − | 0.458673i | ||||
\(670\) | 519.602 | − | 395.860i | 0.775525 | − | 0.590836i | ||||
\(671\) | 540.513 | + | 392.706i | 0.805534 | + | 0.585255i | ||||
\(672\) | −4.09540 | − | 25.8573i | −0.00609435 | − | 0.0384782i | ||||
\(673\) | 34.3821 | + | 67.4786i | 0.0510878 | + | 0.100265i | 0.915139 | − | 0.403139i | \(-0.132081\pi\) |
−0.864051 | + | 0.503404i | \(0.832081\pi\) | |||||||
\(674\) | − | 1408.01i | − | 2.08904i | ||||||
\(675\) | 53.6554 | − | 118.305i | 0.0794894 | − | 0.175267i | ||||
\(676\) | −152.907 | −0.226193 | ||||||||
\(677\) | −753.672 | + | 384.015i | −1.11325 | + | 0.567230i | −0.911125 | − | 0.412129i | \(-0.864785\pi\) |
−0.202127 | + | 0.979359i | \(0.564785\pi\) | |||||||
\(678\) | −77.5820 | + | 12.2878i | −0.114428 | + | 0.0181236i | ||||
\(679\) | 22.3333 | − | 30.7391i | 0.0328914 | − | 0.0452711i | ||||
\(680\) | 12.3316 | + | 542.547i | 0.0181347 | + | 0.797864i | ||||
\(681\) | 210.712 | − | 153.091i | 0.309415 | − | 0.224803i | ||||
\(682\) | 594.469 | + | 594.469i | 0.871655 | + | 0.871655i | ||||
\(683\) | −174.888 | + | 1104.20i | −0.256059 | + | 1.61669i | 0.439513 | + | 0.898236i | \(0.355151\pi\) |
−0.695572 | + | 0.718457i | \(0.744849\pi\) | |||||||
\(684\) | −408.837 | + | 132.839i | −0.597715 | + | 0.194209i | ||||
\(685\) | 10.8252 | − | 80.0862i | 0.0158031 | − | 0.116914i | ||||
\(686\) | −32.8787 | + | 101.190i | −0.0479282 | + | 0.147508i | ||||
\(687\) | −291.798 | + | 572.685i | −0.424742 | + | 0.833602i | ||||
\(688\) | 11.0496 | + | 5.63004i | 0.0160604 | + | 0.00818319i | ||||
\(689\) | 328.729 | + | 106.811i | 0.477110 | + | 0.155022i | ||||
\(690\) | 339.038 | + | 45.8274i | 0.491360 | + | 0.0664165i | ||||
\(691\) | −326.956 | − | 1006.27i | −0.473163 | − | 1.45625i | −0.848419 | − | 0.529325i | \(-0.822445\pi\) |
0.375257 | − | 0.926921i | \(-0.377555\pi\) | |||||||
\(692\) | 177.939 | + | 28.1828i | 0.257137 | + | 0.0407266i | ||||
\(693\) | 5.95674 | − | 5.95674i | 0.00859559 | − | 0.00859559i | ||||
\(694\) | 701.558 | + | 965.611i | 1.01089 | + | 1.39137i | ||||
\(695\) | −238.776 | + | 5.42716i | −0.343563 | + | 0.00780886i | ||||
\(696\) | 294.253 | + | 213.787i | 0.422777 | + | 0.307165i | ||||
\(697\) | −179.115 | − | 1130.89i | −0.256980 | − | 1.62251i | ||||
\(698\) | −224.561 | − | 440.725i | −0.321720 | − | 0.631412i | ||||
\(699\) | − | 128.479i | − | 0.183804i | ||||||
\(700\) | −32.4768 | + | 35.5718i | −0.0463955 | + | 0.0508168i | ||||
\(701\) | −406.455 | −0.579822 | −0.289911 | − | 0.957054i | \(-0.593626\pi\) | ||||
−0.289911 | + | 0.957054i | \(0.593626\pi\) | |||||||
\(702\) | −168.940 | + | 86.0790i | −0.240655 | + | 0.122620i | ||||
\(703\) | 214.835 | − | 34.0265i | 0.305597 | − | 0.0484018i | ||||
\(704\) | −461.595 | + | 635.331i | −0.655675 | + | 0.902459i | ||||
\(705\) | −225.995 | − | 296.638i | −0.320560 | − | 0.420763i | ||||
\(706\) | −177.631 | + | 129.056i | −0.251602 | + | 0.182799i | ||||
\(707\) | 26.7863 | + | 26.7863i | 0.0378872 | + | 0.0378872i | ||||
\(708\) | 110.803 | − | 699.581i | 0.156501 | − | 0.988109i | ||||
\(709\) | 767.230 | − | 249.288i | 1.08213 | − | 0.351605i | 0.286929 | − | 0.957952i | \(-0.407365\pi\) |
0.795201 | + | 0.606346i | \(0.207365\pi\) | |||||||
\(710\) | −917.693 | + | 166.807i | −1.29252 | + | 0.234939i | ||||
\(711\) | −98.3631 | + | 302.730i | −0.138345 | + | 0.425781i | ||||
\(712\) | −346.905 | + | 680.840i | −0.487227 | + | 0.956236i | ||||
\(713\) | −394.496 | − | 201.006i | −0.553290 | − | 0.281915i | ||||
\(714\) | −43.6774 | − | 14.1916i | −0.0611728 | − | 0.0198762i | ||||
\(715\) | −204.360 | + | 424.668i | −0.285818 | + | 0.593941i | ||||
\(716\) | −450.624 | − | 1386.88i | −0.629363 | − | 1.93698i | ||||
\(717\) | 388.632 | + | 61.5533i | 0.542025 | + | 0.0858484i | ||||
\(718\) | 221.246 | − | 221.246i | 0.308143 | − | 0.308143i | ||||
\(719\) | 189.988 | + | 261.496i | 0.264239 | + | 0.363694i | 0.920434 | − | 0.390897i | \(-0.127835\pi\) |
−0.656195 | + | 0.754591i | \(0.727835\pi\) | |||||||
\(720\) | −100.055 | − | 69.2762i | −0.138966 | − | 0.0962170i | ||||
\(721\) | −27.3041 | − | 19.8376i | −0.0378698 | − | 0.0275140i | ||||
\(722\) | 159.086 | + | 1004.43i | 0.220341 | + | 1.39118i | ||||
\(723\) | −270.832 | − | 531.537i | −0.374594 | − | 0.735182i | ||||
\(724\) | 216.582i | 0.299146i | ||||||||
\(725\) | 53.6016 | + | 1178.53i | 0.0739333 | + | 1.62556i | ||||
\(726\) | 308.574 | 0.425033 | ||||||||
\(727\) | 596.408 | − | 303.885i | 0.820369 | − | 0.417999i | 0.00716266 | − | 0.999974i | \(-0.497720\pi\) |
0.813206 | + | 0.581975i | \(0.197720\pi\) | |||||||
\(728\) | 18.4533 | − | 2.92271i | 0.0253479 | − | 0.00401471i | ||||
\(729\) | 15.8702 | − | 21.8435i | 0.0217698 | − | 0.0299636i | ||||
\(730\) | −1397.83 | − | 419.314i | −1.91483 | − | 0.574402i | ||||
\(731\) | 30.1620 | − | 21.9140i | 0.0412613 | − | 0.0299781i | ||||
\(732\) | −561.442 | − | 561.442i | −0.766997 | − | 0.766997i | ||||
\(733\) | −126.562 | + | 799.081i | −0.172663 | + | 1.09015i | 0.737332 | + | 0.675531i | \(0.236086\pi\) |
−0.909995 | + | 0.414620i | \(0.863914\pi\) | |||||||
\(734\) | 1226.43 | − | 398.492i | 1.67089 | − | 0.542905i | ||||
\(735\) | 200.680 | + | 372.672i | 0.273034 | + | 0.507036i | ||||
\(736\) | 169.736 | − | 522.394i | 0.230620 | − | 0.709775i | ||||
\(737\) | 153.206 | − | 300.683i | 0.207878 | − | 0.407983i | ||||
\(738\) | −385.689 | − | 196.518i | −0.522614 | − | 0.266285i | ||||
\(739\) | 225.122 | + | 73.1467i | 0.304631 | + | 0.0989806i | 0.457344 | − | 0.889290i | \(-0.348801\pi\) |
−0.152713 | + | 0.988271i | \(0.548801\pi\) | |||||||
\(740\) | −162.853 | − | 155.615i | −0.220072 | − | 0.210290i | ||||
\(741\) | 167.130 | + | 514.374i | 0.225547 | + | 0.694162i | ||||
\(742\) | 31.2614 | + | 4.95131i | 0.0421312 | + | 0.00667293i | ||||
\(743\) | 820.748 | − | 820.748i | 1.10464 | − | 1.10464i | 0.110797 | − | 0.993843i | \(-0.464660\pi\) |
0.993843 | − | 0.110797i | \(-0.0353404\pi\) | |||||||
\(744\) | −156.065 | − | 214.805i | −0.209765 | − | 0.288717i | ||||
\(745\) | 179.123 | + | 511.437i | 0.240434 | + | 0.686493i | ||||
\(746\) | 984.475 | + | 715.263i | 1.31967 | + | 0.958798i | ||||
\(747\) | 45.2634 | + | 285.782i | 0.0605935 | + | 0.382573i | ||||
\(748\) | 478.957 | + | 940.005i | 0.640316 | + | 1.25669i | ||||
\(749\) | − | 64.2925i | − | 0.0858378i | ||||||
\(750\) | 45.3342 | + | 663.933i | 0.0604456 | + | 0.885244i | ||||
\(751\) | 622.914 | 0.829446 | 0.414723 | − | 0.909948i | \(-0.363878\pi\) | ||||
0.414723 | + | 0.909948i | \(0.363878\pi\) | |||||||
\(752\) | −311.282 | + | 158.606i | −0.413938 | + | 0.210912i | ||||
\(753\) | −359.457 | + | 56.9324i | −0.477367 | + | 0.0756075i | ||||
\(754\) | 1012.13 | − | 1393.08i | 1.34235 | − | 1.84759i | ||||
\(755\) | 282.423 | − | 98.9145i | 0.374070 | − | 0.131013i | ||||
\(756\) | −8.09939 | + | 5.88455i | −0.0107135 | + | 0.00778380i | ||||
\(757\) | −588.326 | − | 588.326i | −0.777180 | − | 0.777180i | 0.202170 | − | 0.979350i | \(-0.435201\pi\) |
−0.979350 | + | 0.202170i | \(0.935201\pi\) | |||||||
\(758\) | −297.914 | + | 1880.96i | −0.393027 | + | 2.48147i | ||||
\(759\) | 168.096 | − | 54.6178i | 0.221471 | − | 0.0719602i | ||||
\(760\) | 404.312 | − | 423.119i | 0.531989 | − | 0.556735i | ||||
\(761\) | −383.044 | + | 1178.89i | −0.503343 | + | 1.54913i | 0.300194 | + | 0.953878i | \(0.402948\pi\) |
−0.803538 | + | 0.595254i | \(0.797052\pi\) | |||||||
\(762\) | 98.2065 | − | 192.741i | 0.128880 | − | 0.252941i | ||||
\(763\) | 29.5886 | + | 15.0761i | 0.0387793 | + | 0.0197590i | ||||
\(764\) | −686.215 | − | 222.965i | −0.898187 | − | 0.291839i | ||||
\(765\) | −322.129 | + | 173.463i | −0.421083 | + | 0.226750i | ||||
\(766\) | −232.789 | − | 716.452i | −0.303903 | − | 0.935316i | ||||
\(767\) | −880.170 | − | 139.405i | −1.14755 | − | 0.181754i | ||||
\(768\) | 16.3914 | − | 16.3914i | 0.0213430 | − | 0.0213430i | ||||
\(769\) | 48.2171 | + | 66.3651i | 0.0627010 | + | 0.0863006i | 0.839216 | − | 0.543798i | \(-0.183014\pi\) |
−0.776515 | + | 0.630099i | \(0.783014\pi\) | |||||||
\(770\) | −12.3997 | + | 41.3358i | −0.0161035 | + | 0.0536828i | ||||
\(771\) | −360.301 | − | 261.774i | −0.467317 | − | 0.339525i | ||||
\(772\) | 38.2291 | + | 241.369i | 0.0495196 | + | 0.312654i | ||||
\(773\) | 340.665 | + | 668.593i | 0.440705 | + | 0.864933i | 0.999368 | + | 0.0355381i | \(0.0113145\pi\) |
−0.558663 | + | 0.829395i | \(0.688686\pi\) | |||||||
\(774\) | − | 14.0948i | − | 0.0182104i | ||||||
\(775\) | 228.643 | − | 830.317i | 0.295023 | − | 1.07138i | ||||
\(776\) | 478.066 | 0.616064 | ||||||||
\(777\) | 4.51353 | − | 2.29976i | 0.00580892 | − | 0.00295979i | ||||
\(778\) | 67.4993 | − | 10.6908i | 0.0867601 | − | 0.0137414i | ||||
\(779\) | −725.768 | + | 998.934i | −0.931666 | + | 1.28233i | ||||
\(780\) | 318.826 | − | 460.479i | 0.408752 | − | 0.590358i | ||||
\(781\) | −389.839 | + | 283.234i | −0.499153 | + | 0.362656i | ||||
\(782\) | −681.339 | − | 681.339i | −0.871278 | − | 0.871278i | ||||
\(783\) | −38.3588 | + | 242.188i | −0.0489895 | + | 0.309308i | ||||
\(784\) | 377.122 | − | 122.534i | 0.481023 | − | 0.156294i | ||||
\(785\) | 555.533 | + | 267.335i | 0.707685 | + | 0.340555i | ||||
\(786\) | 247.182 | − | 760.748i | 0.314481 | − | 0.967873i | ||||
\(787\) | −229.977 | + | 451.355i | −0.292219 | + | 0.573513i | −0.989711 | − | 0.143080i | \(-0.954299\pi\) |
0.697492 | + | 0.716593i | \(0.254299\pi\) | |||||||
\(788\) | −835.363 | − | 425.638i | −1.06010 | − | 0.540150i | ||||
\(789\) | 127.558 | + | 41.4460i | 0.161670 | + | 0.0525298i | ||||
\(790\) | −291.622 | − | 1604.37i | −0.369142 | − | 2.03084i | ||||
\(791\) | 1.61249 | + | 4.96273i | 0.00203854 | + | 0.00627399i | ||||
\(792\) | 104.688 | + | 16.5810i | 0.132182 | + | 0.0209356i | ||||
\(793\) | −706.372 | + | 706.372i | −0.890759 | + | 0.890759i | ||||
\(794\) | −315.705 | − | 434.531i | −0.397613 | − | 0.547268i | ||||
\(795\) | 200.572 | − | 152.807i | 0.252292 | − | 0.192210i | ||||
\(796\) | −117.698 | − | 85.5126i | −0.147862 | − | 0.107428i | ||||
\(797\) | −171.689 | − | 1084.00i | −0.215419 | − | 1.36010i | −0.823990 | − | 0.566605i | \(-0.808257\pi\) |
0.608570 | − | 0.793500i | \(-0.291743\pi\) | |||||||
\(798\) | 22.4841 | + | 44.1276i | 0.0281756 | + | 0.0552977i | ||||
\(799\) | 1050.29i | 1.31451i | ||||||||
\(800\) | 1061.78 | + | 119.021i | 1.32722 | + | 0.148776i | ||||
\(801\) | −515.150 | −0.643134 | ||||||||
\(802\) | −964.461 | + | 491.417i | −1.20257 | + | 0.612740i | ||||
\(803\) | −744.656 | + | 117.942i | −0.927342 | + | 0.146877i | ||||
\(804\) | −235.732 | + | 324.457i | −0.293199 | + | 0.403553i | ||||
\(805\) | −0.516444 | − | 22.7217i | −0.000641545 | − | 0.0282257i | ||||
\(806\) | −1016.95 | + | 738.860i | −1.26173 | + | 0.916700i | ||||
\(807\) | −390.913 | − | 390.913i | −0.484403 | − | 0.484403i | ||||
\(808\) | −74.5613 | + | 470.761i | −0.0922788 | + | 0.582626i | ||||
\(809\) | −67.5579 | + | 21.9509i | −0.0835079 | + | 0.0271334i | −0.350473 | − | 0.936573i | \(-0.613979\pi\) |
0.266965 | + | 0.963706i | \(0.413979\pi\) | |||||||
\(810\) | −18.5277 | + | 137.071i | −0.0228737 | + | 0.169223i | ||||
\(811\) | −19.2331 | + | 59.1935i | −0.0237153 | + | 0.0729882i | −0.962214 | − | 0.272295i | \(-0.912217\pi\) |
0.938498 | + | 0.345284i | \(0.112217\pi\) | |||||||
\(812\) | 41.2772 | − | 81.0111i | 0.0508340 | − | 0.0997674i | ||||
\(813\) | 547.181 | + | 278.803i | 0.673039 | + | 0.342931i | ||||
\(814\) | −191.934 | − | 62.3633i | −0.235792 | − | 0.0766133i | ||||
\(815\) | −461.227 | − | 62.3434i | −0.565922 | − | 0.0764950i | ||||
\(816\) | 105.916 | + | 325.976i | 0.129799 | + | 0.399480i | ||||
\(817\) | −39.7102 | − | 6.28947i | −0.0486049 | − | 0.00769825i | ||||
\(818\) | −1038.17 | + | 1038.17i | −1.26916 | + | 1.26916i | ||||
\(819\) | 7.40359 | + | 10.1902i | 0.00903979 | + | 0.0124422i | ||||
\(820\) | 1278.34 | − | 29.0554i | 1.55895 | − | 0.0354334i | ||||
\(821\) | −292.676 | − | 212.641i | −0.356487 | − | 0.259003i | 0.395099 | − | 0.918639i | \(-0.370710\pi\) |
−0.751585 | + | 0.659636i | \(0.770710\pi\) | |||||||
\(822\) | 13.4610 | + | 84.9892i | 0.0163759 | + | 0.103393i | ||||
\(823\) | −5.03504 | − | 9.88181i | −0.00611791 | − | 0.0120071i | 0.887927 | − | 0.459984i | \(-0.152145\pi\) |
−0.894045 | + | 0.447977i | \(0.852145\pi\) | |||||||
\(824\) | − | 424.643i | − | 0.515344i | ||||||
\(825\) | 169.839 | + | 298.920i | 0.205865 | + | 0.362328i | ||||
\(826\) | −81.6024 | −0.0987923 | ||||||||
\(827\) | −1390.02 | + | 708.250i | −1.68080 | + | 0.856408i | −0.689571 | + | 0.724218i | \(0.742201\pi\) |
−0.991224 | + | 0.132191i | \(0.957799\pi\) | |||||||
\(828\) | −207.464 | + | 32.8591i | −0.250560 | + | 0.0396849i | ||||
\(829\) | −5.75207 | + | 7.91705i | −0.00693857 | + | 0.00955012i | −0.812472 | − | 0.583000i | \(-0.801879\pi\) |
0.805534 | + | 0.592550i | \(0.201879\pi\) | |||||||
\(830\) | −898.280 | − | 1179.07i | −1.08227 | − | 1.42057i | ||||
\(831\) | 464.428 | − | 337.427i | 0.558878 | − | 0.406049i | ||||
\(832\) | −830.285 | − | 830.285i | −0.997939 | − | 0.997939i | ||||
\(833\) | 186.486 | − | 1177.43i | 0.223873 | − | 1.41348i | ||||
\(834\) | 241.860 | − | 78.5850i | 0.290000 | − | 0.0942266i | ||||
\(835\) | 1170.02 | − | 212.673i | 1.40123 | − | 0.254698i | ||||
\(836\) | 351.569 | − | 1082.02i | 0.420537 | − | 1.29428i | ||||
\(837\) | 81.2650 | − | 159.492i | 0.0970908 | − | 0.190552i | ||||
\(838\) | 1688.68 | + | 860.428i | 2.01514 | + | 1.02676i | ||||
\(839\) | 576.373 | + | 187.275i | 0.686976 | + | 0.223212i | 0.631647 | − | 0.775256i | \(-0.282379\pi\) |
0.0553292 | + | 0.998468i | \(0.482379\pi\) | |||||||
\(840\) | 5.91011 | − | 12.2814i | 0.00703584 | − | 0.0146207i | ||||
\(841\) | −428.268 | − | 1318.07i | −0.509237 | − | 1.56727i | ||||
\(842\) | 1407.05 | + | 222.855i | 1.67108 | + | 0.264673i | ||||
\(843\) | −132.202 | + | 132.202i | −0.156823 | + | 0.156823i | ||||
\(844\) | −42.1951 | − | 58.0766i | −0.0499942 | − | 0.0688111i | ||||
\(845\) | 115.382 | + | 79.8884i | 0.136547 | + | 0.0945425i | ||||
\(846\) | 321.237 | + | 233.392i | 0.379713 | + | 0.275877i | ||||
\(847\) | −3.20674 | − | 20.2466i | −0.00378600 | − | 0.0239039i | ||||
\(848\) | −107.242 | − | 210.474i | −0.126464 | − | 0.248200i | ||||
\(849\) | − | 231.516i | − | 0.272693i | ||||||
\(850\) | 1031.64 | − | 1564.80i | 1.21369 | − | 1.84095i | ||||
\(851\) | 106.283 | 0.124892 | ||||||||
\(852\) | 510.245 | − | 259.983i | 0.598880 | − | 0.305144i | ||||
\(853\) | 555.263 | − | 87.9451i | 0.650953 | − | 0.103101i | 0.177780 | − | 0.984070i | \(-0.443108\pi\) |
0.473173 | + | 0.880969i | \(0.343108\pi\) | |||||||
\(854\) | −53.7679 | + | 74.0052i | −0.0629601 | + | 0.0866571i | ||||
\(855\) | 377.910 | + | 113.364i | 0.442000 | + | 0.132589i | ||||
\(856\) | 654.443 | − | 475.481i | 0.764537 | − | 0.555468i | ||||
\(857\) | 1005.55 | + | 1005.55i | 1.17333 | + | 1.17333i | 0.981410 | + | 0.191924i | \(0.0614726\pi\) |
0.191924 | + | 0.981410i | \(0.438527\pi\) | |||||||
\(858\) | 78.4995 | − | 495.626i | 0.0914913 | − | 0.577653i | ||||
\(859\) | 1176.31 | − | 382.208i | 1.36940 | − | 0.444945i | 0.470229 | − | 0.882544i | \(-0.344171\pi\) |
0.899170 | + | 0.437600i | \(0.144171\pi\) | |||||||
\(860\) | 19.7400 | + | 36.6581i | 0.0229535 | + | 0.0426257i | ||||
\(861\) | −8.88612 | + | 27.3487i | −0.0103207 | + | 0.0317638i | ||||
\(862\) | −32.9018 | + | 64.5735i | −0.0381692 | + | 0.0749112i | ||||
\(863\) | 728.140 | + | 371.006i | 0.843731 | + | 0.429902i | 0.821745 | − | 0.569856i | \(-0.193001\pi\) |
0.0219863 | + | 0.999758i | \(0.493001\pi\) | |||||||
\(864\) | 211.200 | + | 68.6231i | 0.244445 | + | 0.0794249i | ||||
\(865\) | −119.547 | − | 114.234i | −0.138205 | − | 0.132062i | ||||
\(866\) | 106.690 | + | 328.359i | 0.123199 | + | 0.379167i | ||||
\(867\) | 523.342 | + | 82.8892i | 0.603624 | + | 0.0956047i | ||||
\(868\) | −46.9324 | + | 46.9324i | −0.0540696 | + | 0.0540696i | ||||
\(869\) | −495.168 | − | 681.540i | −0.569813 | − | 0.784281i | ||||
\(870\) | −415.222 | − | 1185.55i | −0.477266 | − | 1.36270i | ||||
\(871\) | 408.212 | + | 296.583i | 0.468670 | + | 0.340509i | ||||
\(872\) | 65.3627 | + | 412.684i | 0.0749572 | + | 0.473261i | ||||
\(873\) | 146.320 | + | 287.170i | 0.167606 | + | 0.328946i | ||||
\(874\) | 1039.10i | 1.18890i | ||||||||
\(875\) | 43.0918 | − | 9.87423i | 0.0492478 | − | 0.0112848i | ||||
\(876\) | 895.997 | 1.02283 | ||||||||
\(877\) | −760.694 | + | 387.593i | −0.867382 | + | 0.441953i | −0.830272 | − | 0.557358i | \(-0.811815\pi\) |
−0.0371096 | + | 0.999311i | \(0.511815\pi\) | |||||||
\(878\) | 1658.87 | − | 262.739i | 1.88937 | − | 0.299247i | ||||
\(879\) | −367.442 | + | 505.740i | −0.418022 | + | 0.575359i | ||||
\(880\) | 303.977 | − | 106.463i | 0.345428 | − | 0.120981i | ||||
\(881\) | 425.461 | − | 309.115i | 0.482929 | − | 0.350869i | −0.319529 | − | 0.947576i | \(-0.603525\pi\) |
0.802459 | + | 0.596708i | \(0.203525\pi\) | |||||||
\(882\) | −318.681 | − | 318.681i | −0.361316 | − | 0.361316i | ||||
\(883\) | 155.162 | − | 979.657i | 0.175722 | − | 1.10946i | −0.729330 | − | 0.684163i | \(-0.760168\pi\) |
0.905051 | − | 0.425302i | \(-0.139832\pi\) | |||||||
\(884\) | −1500.22 | + | 487.451i | −1.69708 | + | 0.551416i | ||||
\(885\) | −449.118 | + | 470.009i | −0.507478 | + | 0.531083i | ||||
\(886\) | −222.725 | + | 685.477i | −0.251383 | + | 0.773676i | ||||
\(887\) | 356.099 | − | 698.883i | 0.401464 | − | 0.787918i | −0.598448 | − | 0.801162i | \(-0.704216\pi\) |
0.999912 | + | 0.0132438i | \(0.00421577\pi\) | |||||||
\(888\) | 56.7898 | + | 28.9358i | 0.0639525 | + | 0.0325854i | ||||
\(889\) | −13.6670 | − | 4.44067i | −0.0153734 | − | 0.00499513i | ||||
\(890\) | 2323.57 | − | 1251.22i | 2.61076 | − | 1.40587i | ||||
\(891\) | 22.0816 | + | 67.9601i | 0.0247829 | + | 0.0762740i | ||||
\(892\) | −1178.28 | − | 186.621i | −1.32094 | − | 0.209216i | ||||
\(893\) | 800.894 | − | 800.894i | 0.896858 | − | 0.896858i | ||||
\(894\) | −339.149 | − | 466.798i | −0.379361 | − | 0.522146i | ||||
\(895\) | −384.557 | + | 1281.96i | −0.429673 | + | 1.43236i | ||||
\(896\) | −38.0747 | − | 27.6629i | −0.0424941 | − | 0.0308738i | ||||
\(897\) | 41.3413 | + | 261.019i | 0.0460884 | + | 0.290991i | ||||
\(898\) | −280.769 | − | 551.041i | −0.312661 | − | 0.613631i | ||||
\(899\) | 1625.65i | 1.80828i | ||||||||
\(900\) | −143.783 | − | 382.445i | −0.159759 | − | 0.424939i | ||||
\(901\) | −710.158 | −0.788189 | ||||||||
\(902\) | 1020.76 | − | 520.101i | 1.13166 | − | 0.576608i | ||||
\(903\) | −0.924810 | + | 0.146475i | −0.00102415 | + | 0.000162210i | ||||
\(904\) | −38.5911 | + | 53.1160i | −0.0426892 | + | 0.0587567i | ||||
\(905\) | 113.156 | − | 163.431i | 0.125035 | − | 0.180587i | ||||
\(906\) | −257.773 | + | 187.283i | −0.284517 | + | 0.206714i | ||||
\(907\) | 249.974 | + | 249.974i | 0.275605 | + | 0.275605i | 0.831352 | − | 0.555747i | \(-0.187568\pi\) |
−0.555747 | + | 0.831352i | \(0.687568\pi\) | |||||||
\(908\) | 128.150 | − | 809.106i | 0.141134 | − | 0.891086i | ||||
\(909\) | −305.603 | + | 99.2963i | −0.336197 | + | 0.109237i | ||||
\(910\) | −58.1441 | − | 27.9803i | −0.0638946 | − | 0.0307476i | ||||
\(911\) | 232.883 | − | 716.740i | 0.255634 | − | 0.786761i | −0.738070 | − | 0.674724i | \(-0.764262\pi\) |
0.993704 | − | 0.112037i | \(-0.0357375\pi\) | |||||||
\(912\) | 167.805 | − | 329.336i | 0.183997 | − | 0.361114i | ||||
\(913\) | −682.306 | − | 347.652i | −0.747324 | − | 0.380780i | ||||
\(914\) | 1858.67 | + | 603.919i | 2.03356 | + | 0.660743i | ||||
\(915\) | 130.326 | + | 716.994i | 0.142433 | + | 0.783600i | ||||
\(916\) | 624.701 | + | 1922.63i | 0.681988 | + | 2.09894i | ||||
\(917\) | −52.4841 | − | 8.31266i | −0.0572345 | − | 0.00906506i | ||||
\(918\) | 275.460 | − | 275.460i | 0.300066 | − | 0.300066i | ||||
\(919\) | −548.369 | − | 754.765i | −0.596701 | − | 0.821289i | 0.398700 | − | 0.917081i | \(-0.369462\pi\) |
−0.995401 | + | 0.0957924i | \(0.969462\pi\) | |||||||
\(920\) | 227.469 | − | 173.297i | 0.247248 | − | 0.188367i | ||||
\(921\) | −593.638 | − | 431.303i | −0.644558 | − | 0.468299i | ||||
\(922\) | 203.447 | + | 1284.51i | 0.220658 | + | 1.39318i | ||||
\(923\) | −327.095 | − | 641.960i | −0.354382 | − | 0.695514i | ||||
\(924\) | − | 26.4959i | − | 0.0286752i | ||||||
\(925\) | 41.5847 | + | 202.511i | 0.0449564 | + | 0.218931i | ||||
\(926\) | −2021.52 | −2.18306 | ||||||||
\(927\) | 255.079 | − | 129.969i | 0.275166 | − | 0.140204i | ||||
\(928\) | −1991.94 | + | 315.493i | −2.14649 | + | 0.339970i | ||||
\(929\) | −702.940 | + | 967.513i | −0.756663 | + | 1.04146i | 0.240822 | + | 0.970569i | \(0.422583\pi\) |
−0.997484 | + | 0.0708875i | \(0.977417\pi\) | |||||||
\(930\) | 20.8372 | + | 916.763i | 0.0224056 | + | 0.985767i | ||||
\(931\) | −1040.04 | + | 755.635i | −1.11712 | + | 0.811638i | ||||
\(932\) | −285.741 | − | 285.741i | −0.306589 | − | 0.306589i | ||||
\(933\) | −10.0412 | + | 63.3975i | −0.0107623 | + | 0.0679502i | ||||
\(934\) | −1922.82 | + | 624.762i | −2.05869 | + | 0.668910i | ||||
\(935\) | 129.703 | − | 959.560i | 0.138719 | − | 1.02627i | ||||
\(936\) | −48.9734 | + | 150.724i | −0.0523220 | + | 0.161030i | ||||
\(937\) | −478.587 | + | 939.280i | −0.510766 | + | 1.00243i | 0.481282 | + | 0.876566i | \(0.340171\pi\) |
−0.992047 | + | 0.125868i | \(0.959829\pi\) | |||||||
\(938\) | 41.1685 | + | 20.9764i | 0.0438897 | + | 0.0223629i | ||||
\(939\) | 692.861 | + | 225.124i | 0.737872 | + | 0.239749i | ||||
\(940\) | −1162.35 | − | 157.113i | −1.23654 | − | 0.167142i | ||||
\(941\) | 179.429 | + | 552.226i | 0.190679 | + | 0.586850i | 1.00000 | 0.000517053i | \(-0.000164583\pi\) | |
−0.809321 | + | 0.587367i | \(0.800165\pi\) | |||||||
\(942\) | −648.358 | − | 102.690i | −0.688278 | − | 0.109012i | ||||
\(943\) | −426.622 | + | 426.622i | −0.452409 | + | 0.452409i | ||||
\(944\) | 357.973 | + | 492.708i | 0.379209 | + | 0.521936i | ||||
\(945\) | 9.18623 | − | 0.208794i | 0.00972087 | − | 0.000220946i | ||||
\(946\) | 30.1787 | + | 21.9261i | 0.0319014 | + | 0.0231777i | ||||
\(947\) | −94.5461 | − | 596.940i | −0.0998375 | − | 0.630349i | −0.985971 | − | 0.166918i | \(-0.946618\pi\) |
0.886133 | − | 0.463431i | \(-0.153382\pi\) | |||||||
\(948\) | 454.518 | + | 892.042i | 0.479450 | + | 0.940973i | ||||
\(949\) | − | 1127.29i | − | 1.18787i | ||||||
\(950\) | −1979.90 | + | 406.562i | −2.08410 | + | 0.427960i | ||||
\(951\) | 284.133 | 0.298773 | ||||||||
\(952\) | −34.2025 | + | 17.4271i | −0.0359270 | + | 0.0183057i | ||||
\(953\) | −48.1641 | + | 7.62845i | −0.0505395 | + | 0.00800467i | −0.181653 | − | 0.983363i | \(-0.558145\pi\) |
0.131114 | + | 0.991367i | \(0.458145\pi\) | |||||||
\(954\) | −157.808 | + | 217.205i | −0.165418 | + | 0.227678i | ||||
\(955\) | 401.322 | + | 526.771i | 0.420233 | + | 0.551593i | ||||
\(956\) | 1001.22 | − | 727.432i | 1.04731 | − | 0.760912i | ||||
\(957\) | −458.883 | − | 458.883i | −0.479501 | − | 0.479501i | ||||
\(958\) | −322.890 | + | 2038.65i | −0.337046 | + | 2.12802i | ||||
\(959\) | 5.43655 | − | 1.76644i | 0.00566897 | − | 0.00184196i | ||||
\(960\) | −842.771 | + | 153.189i | −0.877886 | + | 0.159571i | ||||
\(961\) | 69.7529 | − | 214.677i | 0.0725837 | − | 0.223390i | ||||
\(962\) | 136.991 | − | 268.860i | 0.142403 | − | 0.279481i | ||||
\(963\) | 485.920 | + | 247.589i | 0.504590 | + | 0.257102i | ||||
\(964\) | −1784.49 | − | 579.816i | −1.85113 | − | 0.601468i | ||||
\(965\) | 97.2596 | − | 202.109i | 0.100787 | − | 0.209439i | ||||
\(966\) | 7.47808 | + | 23.0152i | 0.00774129 | + | 0.0238252i | ||||
\(967\) | −1446.65 | − | 229.127i | −1.49602 | − | 0.236946i | −0.645854 | − | 0.763461i | \(-0.723499\pi\) |
−0.850166 | + | 0.526514i | \(0.823499\pi\) | |||||||
\(968\) | 182.377 | − | 182.377i | 0.188406 | − | 0.188406i | ||||
\(969\) | −653.153 | − | 898.989i | −0.674049 | − | 0.927749i | ||||
\(970\) | −1357.46 | − | 939.881i | −1.39945 | − | 0.968950i | ||||
\(971\) | −676.512 | − | 491.514i | −0.696716 | − | 0.506194i | 0.182145 | − | 0.983272i | \(-0.441696\pi\) |
−0.878861 | + | 0.477078i | \(0.841696\pi\) | |||||||
\(972\) | −13.2847 | − | 83.8762i | −0.0136674 | − | 0.0862924i | ||||
\(973\) | −7.66968 | − | 15.0526i | −0.00788250 | − | 0.0154703i | ||||
\(974\) | 324.003i | 0.332652i | ||||||||
\(975\) | −481.169 | + | 180.899i | −0.493506 | + | 0.185537i | ||||
\(976\) | 682.705 | 0.699493 | ||||||||
\(977\) | −468.100 | + | 238.509i | −0.479120 | + | 0.244124i | −0.676834 | − | 0.736136i | \(-0.736648\pi\) |
0.197714 | + | 0.980260i | \(0.436648\pi\) | |||||||
\(978\) | 489.463 | − | 77.5234i | 0.500474 | − | 0.0792673i | ||||
\(979\) | 801.377 | − | 1103.00i | 0.818567 | − | 1.12666i | ||||
\(980\) | 1275.15 | + | 382.514i | 1.30117 | + | 0.390320i | ||||
\(981\) | −227.890 | + | 165.572i | −0.232304 | + | 0.168778i | ||||
\(982\) | 369.546 | + | 369.546i | 0.376320 | + | 0.376320i | ||||
\(983\) | 222.203 | − | 1402.94i | 0.226046 | − | 1.42720i | −0.569842 | − | 0.821754i | \(-0.692996\pi\) |
0.795888 | − | 0.605443i | \(-0.207004\pi\) | |||||||
\(984\) | −344.104 | + | 111.806i | −0.349699 | + | 0.113624i | ||||
\(985\) | 407.978 | + | 757.632i | 0.414191 | + | 0.769170i | ||||
\(986\) | −1093.27 | + | 3364.72i | −1.10879 | + | 3.41250i | ||||
\(987\) | 11.9753 | − | 23.5029i | 0.0121331 | − | 0.0238125i | ||||
\(988\) | 1515.68 | + | 772.280i | 1.53409 | + | 0.781660i | ||||
\(989\) | −18.6839 | − | 6.07076i | −0.0188917 | − | 0.00613828i | ||||
\(990\) | −264.663 | − | 252.900i | −0.267337 | − | 0.255454i | ||||
\(991\) | 451.716 | + | 1390.24i | 0.455819 | + | 1.40287i | 0.870171 | + | 0.492750i | \(0.164008\pi\) |
−0.414352 | + | 0.910117i | \(0.635992\pi\) | |||||||
\(992\) | 1454.12 | + | 230.310i | 1.46585 | + | 0.232168i | ||||
\(993\) | 401.637 | − | 401.637i | 0.404468 | − | 0.404468i | ||||
\(994\) | −38.7795 | − | 53.3753i | −0.0390135 | − | 0.0536975i | ||||
\(995\) | 44.1368 | + | 126.020i | 0.0443586 | + | 0.126654i | ||||
\(996\) | 736.253 | + | 534.919i | 0.739210 | + | 0.537067i | ||||
\(997\) | −290.899 | − | 1836.66i | −0.291774 | − | 1.84219i | −0.502414 | − | 0.864627i | \(-0.667555\pi\) |
0.210639 | − | 0.977564i | \(-0.432445\pi\) | |||||||
\(998\) | −404.952 | − | 794.763i | −0.405763 | − | 0.796355i | ||||
\(999\) | 42.9694i | 0.0430124i |
(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 | 75.3.k.a.22.9 | ✓ | 80 | |
3.2 | odd | 2 | 225.3.r.b.172.2 | 80 | |||
5.2 | odd | 4 | 375.3.k.b.118.9 | 80 | |||
5.3 | odd | 4 | 375.3.k.c.118.2 | 80 | |||
5.4 | even | 2 | 375.3.k.a.7.2 | 80 | |||
25.6 | even | 5 | 375.3.k.c.232.2 | 80 | |||
25.8 | odd | 20 | inner | 75.3.k.a.58.9 | yes | 80 | |
25.17 | odd | 20 | 375.3.k.a.268.2 | 80 | |||
25.19 | even | 10 | 375.3.k.b.232.9 | 80 | |||
75.8 | even | 20 | 225.3.r.b.208.2 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.3.k.a.22.9 | ✓ | 80 | 1.1 | even | 1 | trivial | |
75.3.k.a.58.9 | yes | 80 | 25.8 | odd | 20 | inner | |
225.3.r.b.172.2 | 80 | 3.2 | odd | 2 | |||
225.3.r.b.208.2 | 80 | 75.8 | even | 20 | |||
375.3.k.a.7.2 | 80 | 5.4 | even | 2 | |||
375.3.k.a.268.2 | 80 | 25.17 | odd | 20 | |||
375.3.k.b.118.9 | 80 | 5.2 | odd | 4 | |||
375.3.k.b.232.9 | 80 | 25.19 | even | 10 | |||
375.3.k.c.118.2 | 80 | 5.3 | odd | 4 | |||
375.3.k.c.232.2 | 80 | 25.6 | even | 5 |