Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,3,Mod(5,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 6]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.h (of order \(58\), degree \(28\), 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: | \(9.64580135835\) |
Analytic rank: | \(0\) |
Dimension: | \(1120\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 5.20 | ||
Character | \(\chi\) | \(=\) | 354.5 |
Dual form | 354.3.h.a.71.20 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{3}{29}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.451561 | + | 1.34018i | −0.225780 | + | 0.670092i | ||||
\(3\) | 2.95183 | + | 0.535437i | 0.983944 | + | 0.178479i | ||||
\(4\) | −1.59219 | − | 1.21035i | −0.398047 | − | 0.302587i | ||||
\(5\) | −1.84046 | − | 0.733305i | −0.368091 | − | 0.146661i | 0.178756 | − | 0.983893i | \(-0.442793\pi\) |
−0.546847 | + | 0.837232i | \(0.684172\pi\) | |||||||
\(6\) | −2.05051 | + | 3.71421i | −0.341752 | + | 0.619036i | ||||
\(7\) | −10.2065 | + | 4.72201i | −1.45806 | + | 0.674572i | −0.979122 | − | 0.203274i | \(-0.934842\pi\) |
−0.478943 | + | 0.877846i | \(0.658980\pi\) | |||||||
\(8\) | 2.34106 | − | 1.58728i | 0.292632 | − | 0.198410i | ||||
\(9\) | 8.42661 | + | 3.16104i | 0.936291 | + | 0.351227i | ||||
\(10\) | 1.81384 | − | 2.13542i | 0.181384 | − | 0.213542i | ||||
\(11\) | 13.7546 | + | 3.81894i | 1.25042 | + | 0.347176i | 0.828772 | − | 0.559586i | \(-0.189040\pi\) |
0.421643 | + | 0.906762i | \(0.361454\pi\) | |||||||
\(12\) | −4.05180 | − | 4.42526i | −0.337650 | − | 0.368772i | ||||
\(13\) | −5.71863 | + | 10.7865i | −0.439895 | + | 0.829730i | 0.560104 | + | 0.828422i | \(0.310761\pi\) |
−0.999999 | + | 0.00130757i | \(0.999584\pi\) | |||||||
\(14\) | −1.71953 | − | 15.8108i | −0.122823 | − | 1.12934i | ||||
\(15\) | −5.04008 | − | 3.15004i | −0.336005 | − | 0.210003i | ||||
\(16\) | 1.07011 | + | 3.85420i | 0.0668821 | + | 0.240887i | ||||
\(17\) | −3.27733 | + | 7.08382i | −0.192784 | + | 0.416696i | −0.979729 | − | 0.200327i | \(-0.935799\pi\) |
0.786945 | + | 0.617023i | \(0.211661\pi\) | |||||||
\(18\) | −8.04150 | + | 9.86581i | −0.446750 | + | 0.548101i | ||||
\(19\) | −23.9818 | + | 5.27880i | −1.26220 | + | 0.277832i | −0.795158 | − | 0.606402i | \(-0.792612\pi\) |
−0.467044 | + | 0.884234i | \(0.654681\pi\) | |||||||
\(20\) | 2.04280 | + | 3.39515i | 0.102140 | + | 0.169758i | ||||
\(21\) | −32.6561 | + | 8.47366i | −1.55505 | + | 0.403508i | ||||
\(22\) | −11.3291 | + | 16.7092i | −0.514959 | + | 0.759508i | ||||
\(23\) | −39.7305 | − | 6.51348i | −1.72741 | − | 0.283195i | −0.785453 | − | 0.618922i | \(-0.787570\pi\) |
−0.941959 | + | 0.335727i | \(0.891018\pi\) | |||||||
\(24\) | 7.76029 | − | 3.43188i | 0.323346 | − | 0.142995i | ||||
\(25\) | −15.3003 | − | 14.4933i | −0.612014 | − | 0.579730i | ||||
\(26\) | −11.8736 | − | 12.5348i | −0.456676 | − | 0.482107i | ||||
\(27\) | 23.1814 | + | 13.8428i | 0.858571 | + | 0.512695i | ||||
\(28\) | 21.9658 | + | 4.83505i | 0.784494 | + | 0.172680i | ||||
\(29\) | 7.02588 | + | 20.8521i | 0.242272 | + | 0.719037i | 0.997944 | + | 0.0640873i | \(0.0204136\pi\) |
−0.755673 | + | 0.654950i | \(0.772690\pi\) | |||||||
\(30\) | 6.49754 | − | 5.33220i | 0.216585 | − | 0.177740i | ||||
\(31\) | 38.5985 | + | 8.49616i | 1.24511 | + | 0.274070i | 0.788187 | − | 0.615436i | \(-0.211020\pi\) |
0.456925 | + | 0.889505i | \(0.348951\pi\) | |||||||
\(32\) | −5.64856 | − | 0.306256i | −0.176517 | − | 0.00957050i | ||||
\(33\) | 38.5564 | + | 18.6376i | 1.16837 | + | 0.564775i | ||||
\(34\) | −8.01372 | − | 7.59100i | −0.235698 | − | 0.223265i | ||||
\(35\) | 22.2472 | − | 1.20621i | 0.635635 | − | 0.0344631i | ||||
\(36\) | −9.59078 | − | 15.2321i | −0.266411 | − | 0.423114i | ||||
\(37\) | −26.7124 | + | 39.3978i | −0.721956 | + | 1.06481i | 0.272754 | + | 0.962084i | \(0.412065\pi\) |
−0.994710 | + | 0.102722i | \(0.967245\pi\) | |||||||
\(38\) | 3.75469 | − | 34.5238i | 0.0988076 | − | 0.908520i | ||||
\(39\) | −22.6559 | + | 28.7779i | −0.580921 | + | 0.737895i | ||||
\(40\) | −5.47258 | + | 1.20461i | −0.136814 | + | 0.0301151i | ||||
\(41\) | −42.1646 | + | 6.91253i | −1.02840 | + | 0.168598i | −0.652285 | − | 0.757973i | \(-0.726190\pi\) |
−0.376118 | + | 0.926572i | \(0.622741\pi\) | |||||||
\(42\) | 3.38993 | − | 47.5915i | 0.0807126 | − | 1.13313i | ||||
\(43\) | 12.4232 | + | 44.7444i | 0.288912 | + | 1.04057i | 0.955464 | + | 0.295109i | \(0.0953560\pi\) |
−0.666551 | + | 0.745459i | \(0.732230\pi\) | |||||||
\(44\) | −17.2776 | − | 22.7283i | −0.392672 | − | 0.516552i | ||||
\(45\) | −13.1908 | − | 11.9970i | −0.293129 | − | 0.266601i | ||||
\(46\) | 26.6700 | − | 50.3049i | 0.579782 | − | 1.09359i | ||||
\(47\) | 38.5151 | − | 15.3458i | 0.819470 | − | 0.326507i | 0.0775441 | − | 0.996989i | \(-0.475292\pi\) |
0.741925 | + | 0.670482i | \(0.233913\pi\) | |||||||
\(48\) | 1.09511 | + | 11.9499i | 0.0228149 | + | 0.248957i | ||||
\(49\) | 50.1524 | − | 59.0439i | 1.02352 | − | 1.20498i | ||||
\(50\) | 26.3327 | − | 13.9607i | 0.526653 | − | 0.279214i | ||||
\(51\) | −13.4671 | + | 19.1555i | −0.264060 | + | 0.375597i | ||||
\(52\) | 22.1605 | − | 10.2526i | 0.426164 | − | 0.197165i | ||||
\(53\) | 20.5339 | − | 17.4417i | 0.387432 | − | 0.329088i | −0.432410 | − | 0.901677i | \(-0.642337\pi\) |
0.819843 | + | 0.572589i | \(0.194061\pi\) | |||||||
\(54\) | −29.0197 | + | 24.8165i | −0.537401 | + | 0.459565i | ||||
\(55\) | −22.5142 | − | 17.1149i | −0.409350 | − | 0.311180i | ||||
\(56\) | −16.3988 | + | 27.2550i | −0.292835 | + | 0.486696i | ||||
\(57\) | −73.6168 | + | 2.74137i | −1.29152 | + | 0.0480942i | ||||
\(58\) | −31.1182 | −0.536521 | ||||||||
\(59\) | −17.2305 | − | 56.4279i | −0.292042 | − | 0.956405i | ||||
\(60\) | 4.21210 | + | 11.1157i | 0.0702016 | + | 0.185262i | ||||
\(61\) | 9.31575 | + | 3.13884i | 0.152717 | + | 0.0514564i | 0.394622 | − | 0.918844i | \(-0.370876\pi\) |
−0.241905 | + | 0.970300i | \(0.577772\pi\) | |||||||
\(62\) | −28.8160 | + | 47.8925i | −0.464774 | + | 0.772460i | ||||
\(63\) | −100.932 | + | 7.52755i | −1.60210 | + | 0.119485i | ||||
\(64\) | 2.96111 | − | 7.43181i | 0.0462673 | − | 0.116122i | ||||
\(65\) | 18.4347 | − | 15.6586i | 0.283611 | − | 0.240901i | ||||
\(66\) | −42.3883 | + | 43.2566i | −0.642247 | + | 0.655403i | ||||
\(67\) | 36.1286 | + | 53.2856i | 0.539232 | + | 0.795308i | 0.995523 | − | 0.0945228i | \(-0.0301325\pi\) |
−0.456290 | + | 0.889831i | \(0.650822\pi\) | |||||||
\(68\) | 13.7920 | − | 7.31206i | 0.202824 | − | 0.107530i | ||||
\(69\) | −113.790 | − | 40.4999i | −1.64913 | − | 0.586954i | ||||
\(70\) | −8.42942 | + | 30.3600i | −0.120420 | + | 0.433715i | ||||
\(71\) | 12.4904 | − | 4.97661i | 0.175921 | − | 0.0700931i | −0.280515 | − | 0.959850i | \(-0.590505\pi\) |
0.456435 | + | 0.889757i | \(0.349126\pi\) | |||||||
\(72\) | 24.7446 | − | 5.97519i | 0.343676 | − | 0.0829888i | ||||
\(73\) | 116.311 | − | 12.6496i | 1.59330 | − | 0.173282i | 0.731973 | − | 0.681333i | \(-0.238600\pi\) |
0.861327 | + | 0.508051i | \(0.169634\pi\) | |||||||
\(74\) | −40.7380 | − | 53.5900i | −0.550514 | − | 0.724189i | ||||
\(75\) | −37.4038 | − | 50.9740i | −0.498717 | − | 0.679653i | ||||
\(76\) | 44.5727 | + | 20.6215i | 0.586483 | + | 0.271336i | ||||
\(77\) | −158.418 | + | 25.9714i | −2.05738 | + | 0.337291i | ||||
\(78\) | −28.3372 | − | 43.3581i | −0.363297 | − | 0.555873i | ||||
\(79\) | −16.7248 | + | 10.0630i | −0.211706 | + | 0.127379i | −0.617458 | − | 0.786604i | \(-0.711837\pi\) |
0.405752 | + | 0.913983i | \(0.367010\pi\) | |||||||
\(80\) | 0.856807 | − | 7.87821i | 0.0107101 | − | 0.0984776i | ||||
\(81\) | 61.0157 | + | 53.2737i | 0.753280 | + | 0.657700i | ||||
\(82\) | 9.77579 | − | 59.6297i | 0.119217 | − | 0.727191i | ||||
\(83\) | 119.068 | − | 6.45568i | 1.43455 | − | 0.0777792i | 0.679612 | − | 0.733571i | \(-0.262148\pi\) |
0.754941 | + | 0.655792i | \(0.227665\pi\) | |||||||
\(84\) | 62.2506 | + | 26.0336i | 0.741079 | + | 0.309923i | ||||
\(85\) | 11.2264 | − | 10.6342i | 0.132075 | − | 0.125108i | ||||
\(86\) | −65.5756 | − | 3.55541i | −0.762507 | − | 0.0413419i | ||||
\(87\) | 9.57424 | + | 65.3137i | 0.110049 | + | 0.750732i | ||||
\(88\) | 38.2619 | − | 12.8920i | 0.434795 | − | 0.146499i | ||||
\(89\) | −26.6577 | − | 79.1171i | −0.299524 | − | 0.888957i | −0.986712 | − | 0.162477i | \(-0.948052\pi\) |
0.687188 | − | 0.726480i | \(-0.258845\pi\) | |||||||
\(90\) | 22.0347 | − | 12.2607i | 0.244830 | − | 0.136230i | ||||
\(91\) | 7.43308 | − | 137.095i | 0.0816822 | − | 1.50654i | ||||
\(92\) | 55.3747 | + | 58.4584i | 0.601899 | + | 0.635417i | ||||
\(93\) | 109.387 | + | 45.7463i | 1.17620 | + | 0.491895i | ||||
\(94\) | 3.17432 | + | 58.5468i | 0.0337693 | + | 0.622839i | ||||
\(95\) | 48.0085 | + | 7.87060i | 0.505353 | + | 0.0828484i | ||||
\(96\) | −16.5096 | − | 3.92846i | −0.171975 | − | 0.0409215i | ||||
\(97\) | 69.1923 | + | 7.52512i | 0.713323 | + | 0.0775785i | 0.457583 | − | 0.889167i | \(-0.348715\pi\) |
0.255740 | + | 0.966746i | \(0.417681\pi\) | |||||||
\(98\) | 56.4829 | + | 93.8753i | 0.576356 | + | 0.957911i | ||||
\(99\) | 103.833 | + | 75.6594i | 1.04881 | + | 0.764237i | ||||
\(100\) | 6.81910 | + | 41.5947i | 0.0681910 | + | 0.415947i | ||||
\(101\) | −39.0241 | + | 84.3493i | −0.386378 | + | 0.835142i | 0.612620 | + | 0.790378i | \(0.290116\pi\) |
−0.998998 | + | 0.0447640i | \(0.985746\pi\) | |||||||
\(102\) | −19.5906 | − | 26.6982i | −0.192065 | − | 0.261747i | ||||
\(103\) | −34.3684 | + | 26.1261i | −0.333673 | + | 0.253652i | −0.758572 | − | 0.651589i | \(-0.774103\pi\) |
0.424899 | + | 0.905241i | \(0.360310\pi\) | |||||||
\(104\) | 3.73349 | + | 34.3288i | 0.0358989 | + | 0.330085i | ||||
\(105\) | 66.3159 | + | 8.35145i | 0.631580 | + | 0.0795377i | ||||
\(106\) | 14.1027 | + | 35.3952i | 0.133045 | + | 0.333917i | ||||
\(107\) | 27.5656 | + | 7.65355i | 0.257623 | + | 0.0715285i | 0.393938 | − | 0.919137i | \(-0.371112\pi\) |
−0.136316 | + | 0.990665i | \(0.543526\pi\) | |||||||
\(108\) | −20.1545 | − | 50.0979i | −0.186616 | − | 0.463869i | ||||
\(109\) | −87.7640 | − | 165.541i | −0.805175 | − | 1.51872i | −0.854213 | − | 0.519924i | \(-0.825960\pi\) |
0.0490379 | − | 0.998797i | \(-0.484384\pi\) | |||||||
\(110\) | 33.1036 | − | 22.4448i | 0.300942 | − | 0.204044i | ||||
\(111\) | −99.9454 | + | 101.993i | −0.900409 | + | 0.918854i | ||||
\(112\) | −29.1216 | − | 34.2846i | −0.260014 | − | 0.306113i | ||||
\(113\) | 108.398 | + | 43.1899i | 0.959278 | + | 0.382211i | 0.796626 | − | 0.604472i | \(-0.206616\pi\) |
0.162652 | + | 0.986684i | \(0.447995\pi\) | |||||||
\(114\) | 29.5685 | − | 99.8980i | 0.259373 | − | 0.876298i | ||||
\(115\) | 68.3459 | + | 41.1223i | 0.594312 | + | 0.357586i | ||||
\(116\) | 14.0518 | − | 41.7041i | 0.121136 | − | 0.359518i | ||||
\(117\) | −82.2852 | + | 72.8167i | −0.703292 | + | 0.622365i | ||||
\(118\) | 83.4044 | + | 2.38859i | 0.706817 | + | 0.0202423i | ||||
\(119\) | − | 87.7763i | − | 0.737616i | ||||||
\(120\) | −16.7991 | + | 0.625572i | −0.139993 | + | 0.00521310i | ||||
\(121\) | 70.9241 | + | 42.6736i | 0.586150 | + | 0.352675i | ||||
\(122\) | −8.41325 | + | 11.0674i | −0.0689611 | + | 0.0907167i | ||||
\(123\) | −128.164 | − | 2.17184i | −1.04198 | − | 0.0176573i | ||||
\(124\) | −51.1726 | − | 60.2451i | −0.412682 | − | 0.485847i | ||||
\(125\) | 38.3284 | + | 82.8455i | 0.306627 | + | 0.662764i | ||||
\(126\) | 35.4887 | − | 138.667i | 0.281657 | − | 1.10053i | ||||
\(127\) | 32.7123 | + | 61.7019i | 0.257577 | + | 0.485842i | 0.978249 | − | 0.207434i | \(-0.0665113\pi\) |
−0.720672 | + | 0.693276i | \(0.756166\pi\) | |||||||
\(128\) | 8.62288 | + | 7.32434i | 0.0673662 | + | 0.0572214i | ||||
\(129\) | 12.7135 | + | 138.730i | 0.0985540 | + | 1.07543i | ||||
\(130\) | 12.6610 | + | 31.7767i | 0.0973921 | + | 0.244436i | ||||
\(131\) | 154.263 | + | 81.7853i | 1.17758 | + | 0.624315i | 0.938025 | − | 0.346567i | \(-0.112653\pi\) |
0.239558 | + | 0.970882i | \(0.422998\pi\) | |||||||
\(132\) | −38.8310 | − | 76.3411i | −0.294174 | − | 0.578342i | ||||
\(133\) | 219.843 | − | 167.120i | 1.65295 | − | 1.25654i | ||||
\(134\) | −87.7268 | + | 24.3572i | −0.654678 | + | 0.181770i | ||||
\(135\) | −32.5134 | − | 42.4761i | −0.240840 | − | 0.314638i | ||||
\(136\) | 3.57158 | + | 21.7857i | 0.0262616 | + | 0.160189i | ||||
\(137\) | −31.3093 | − | 142.240i | −0.228535 | − | 1.03825i | −0.941491 | − | 0.337037i | \(-0.890575\pi\) |
0.712956 | − | 0.701209i | \(-0.247356\pi\) | |||||||
\(138\) | 105.660 | − | 134.212i | 0.765655 | − | 0.972547i | ||||
\(139\) | −145.953 | − | 15.8733i | −1.05002 | − | 0.114197i | −0.433198 | − | 0.901299i | \(-0.642615\pi\) |
−0.616823 | + | 0.787102i | \(0.711581\pi\) | |||||||
\(140\) | −36.8816 | − | 25.0064i | −0.263440 | − | 0.178617i | ||||
\(141\) | 121.907 | − | 24.6758i | 0.864586 | − | 0.175006i | ||||
\(142\) | 1.02942 | + | 18.9866i | 0.00724947 | + | 0.133709i | ||||
\(143\) | −119.850 | + | 126.524i | −0.838113 | + | 0.884786i | ||||
\(144\) | −3.16584 | + | 35.8605i | −0.0219850 | + | 0.249031i | ||||
\(145\) | 2.36010 | − | 43.5295i | 0.0162765 | − | 0.300203i | ||||
\(146\) | −35.5687 | + | 161.590i | −0.243621 | + | 1.10678i | ||||
\(147\) | 179.656 | − | 147.434i | 1.22215 | − | 1.00295i | ||||
\(148\) | 90.2161 | − | 30.3973i | 0.609568 | − | 0.205387i | ||||
\(149\) | −32.5634 | + | 147.937i | −0.218546 | + | 0.992866i | 0.731763 | + | 0.681559i | \(0.238698\pi\) |
−0.950309 | + | 0.311307i | \(0.899233\pi\) | |||||||
\(150\) | 85.2046 | − | 27.1101i | 0.568031 | − | 0.180734i | ||||
\(151\) | 145.219 | − | 137.559i | 0.961717 | − | 0.910987i | −0.0343662 | − | 0.999409i | \(-0.510941\pi\) |
0.996083 | + | 0.0884227i | \(0.0281826\pi\) | |||||||
\(152\) | −47.7640 | + | 50.4238i | −0.314237 | + | 0.331736i | ||||
\(153\) | −50.0090 | + | 49.3329i | −0.326856 | + | 0.322437i | ||||
\(154\) | 36.7291 | − | 224.037i | 0.238500 | − | 1.45479i | ||||
\(155\) | −64.8085 | − | 43.9413i | −0.418120 | − | 0.283492i | ||||
\(156\) | 70.9038 | − | 18.3982i | 0.454511 | − | 0.117937i | ||||
\(157\) | −75.9387 | + | 45.6908i | −0.483686 | + | 0.291024i | −0.736436 | − | 0.676508i | \(-0.763493\pi\) |
0.252750 | + | 0.967532i | \(0.418665\pi\) | |||||||
\(158\) | −5.93397 | − | 26.9583i | −0.0375568 | − | 0.170622i | ||||
\(159\) | 69.9516 | − | 40.4902i | 0.439947 | − | 0.254656i | ||||
\(160\) | 10.1714 | + | 4.70577i | 0.0635709 | + | 0.0294111i | ||||
\(161\) | 436.264 | − | 121.128i | 2.70971 | − | 0.752348i | ||||
\(162\) | −98.9488 | + | 57.7159i | −0.610795 | + | 0.356271i | ||||
\(163\) | −95.0155 | + | 10.3336i | −0.582917 | + | 0.0633961i | −0.394827 | − | 0.918756i | \(-0.629195\pi\) |
−0.188091 | + | 0.982152i | \(0.560230\pi\) | |||||||
\(164\) | 75.5004 | + | 40.0278i | 0.460368 | + | 0.244072i | ||||
\(165\) | −57.2943 | − | 62.5752i | −0.347238 | − | 0.379244i | ||||
\(166\) | −45.1146 | + | 162.488i | −0.271775 | + | 0.978844i | ||||
\(167\) | −11.2433 | − | 9.55011i | −0.0673249 | − | 0.0571863i | 0.613092 | − | 0.790011i | \(-0.289925\pi\) |
−0.680417 | + | 0.732825i | \(0.738201\pi\) | |||||||
\(168\) | −62.9997 | + | 71.6715i | −0.374998 | + | 0.426616i | ||||
\(169\) | 11.1951 | + | 16.5115i | 0.0662432 | + | 0.0977014i | ||||
\(170\) | 9.18239 | + | 19.8474i | 0.0540140 | + | 0.116749i | ||||
\(171\) | −218.772 | − | 31.3251i | −1.27937 | − | 0.183188i | ||||
\(172\) | 34.3763 | − | 86.2779i | 0.199862 | − | 0.501616i | ||||
\(173\) | −190.432 | + | 250.509i | −1.10076 | + | 1.44803i | −0.219376 | + | 0.975640i | \(0.570402\pi\) |
−0.881389 | + | 0.472391i | \(0.843391\pi\) | |||||||
\(174\) | −91.8557 | − | 16.6618i | −0.527906 | − | 0.0957577i | ||||
\(175\) | 224.599 | + | 75.6764i | 1.28343 | + | 0.432436i | ||||
\(176\) | 57.0995i | 0.324429i | ||||||||
\(177\) | −20.6479 | − | 175.792i | −0.116655 | − | 0.993173i | ||||
\(178\) | 118.069 | 0.663309 | ||||||||
\(179\) | 96.1453 | − | 285.349i | 0.537124 | − | 1.59413i | −0.244015 | − | 0.969772i | \(-0.578464\pi\) |
0.781139 | − | 0.624357i | \(-0.214639\pi\) | |||||||
\(180\) | 6.48164 | + | 35.0670i | 0.0360091 | + | 0.194817i | ||||
\(181\) | 20.9724 | + | 15.9428i | 0.115870 | + | 0.0880820i | 0.661504 | − | 0.749941i | \(-0.269918\pi\) |
−0.545635 | + | 0.838023i | \(0.683711\pi\) | |||||||
\(182\) | 180.376 | + | 71.8685i | 0.991078 | + | 0.394882i | ||||
\(183\) | 25.8179 | + | 14.2533i | 0.141081 | + | 0.0778870i | ||||
\(184\) | −103.350 | + | 47.8148i | −0.561685 | + | 0.259863i | ||||
\(185\) | 78.0536 | − | 52.9216i | 0.421911 | − | 0.286063i | ||||
\(186\) | −110.703 | + | 125.941i | −0.595179 | + | 0.677105i | ||||
\(187\) | −72.1309 | + | 84.9190i | −0.385727 | + | 0.454112i | ||||
\(188\) | −79.8969 | − | 22.1833i | −0.424984 | − | 0.117996i | ||||
\(189\) | −301.966 | − | 31.8228i | −1.59770 | − | 0.168375i | ||||
\(190\) | −32.2268 | + | 60.7862i | −0.169615 | + | 0.319927i | ||||
\(191\) | 1.52216 | + | 13.9960i | 0.00796940 | + | 0.0732774i | 0.997447 | − | 0.0714068i | \(-0.0227489\pi\) |
−0.989478 | + | 0.144684i | \(0.953783\pi\) | |||||||
\(192\) | 12.7200 | − | 20.3520i | 0.0662497 | − | 0.106000i | ||||
\(193\) | 48.6844 | + | 175.345i | 0.252251 | + | 0.908524i | 0.975875 | + | 0.218330i | \(0.0700610\pi\) |
−0.723624 | + | 0.690194i | \(0.757525\pi\) | |||||||
\(194\) | −41.3296 | + | 89.3324i | −0.213039 | + | 0.460476i | ||||
\(195\) | 62.8003 | − | 36.3508i | 0.322053 | − | 0.186414i | ||||
\(196\) | −151.316 | + | 33.3071i | −0.772019 | + | 0.169934i | ||||
\(197\) | −168.818 | − | 280.578i | −0.856947 | − | 1.42426i | −0.905000 | − | 0.425412i | \(-0.860129\pi\) |
0.0480534 | − | 0.998845i | \(-0.484698\pi\) | |||||||
\(198\) | −148.284 | + | 104.990i | −0.748910 | + | 0.530253i | ||||
\(199\) | 23.0424 | − | 33.9850i | 0.115791 | − | 0.170779i | −0.765377 | − | 0.643582i | \(-0.777448\pi\) |
0.881168 | + | 0.472803i | \(0.156758\pi\) | |||||||
\(200\) | −58.8238 | − | 9.64367i | −0.294119 | − | 0.0482184i | ||||
\(201\) | 78.1143 | + | 176.635i | 0.388628 | + | 0.878780i | ||||
\(202\) | −95.4218 | − | 90.3883i | −0.472385 | − | 0.447467i | ||||
\(203\) | −170.173 | − | 179.649i | −0.838290 | − | 0.884972i | ||||
\(204\) | 44.6268 | − | 14.1992i | 0.218759 | − | 0.0696040i | ||||
\(205\) | 82.6711 | + | 18.1973i | 0.403273 | + | 0.0887672i | ||||
\(206\) | −19.4944 | − | 57.8574i | −0.0946332 | − | 0.280861i | ||||
\(207\) | −314.204 | − | 180.476i | −1.51789 | − | 0.871865i | ||||
\(208\) | −47.6929 | − | 10.4980i | −0.229293 | − | 0.0504711i | ||||
\(209\) | −350.019 | − | 18.9775i | −1.67473 | − | 0.0908014i | ||||
\(210\) | −41.1381 | + | 85.1043i | −0.195896 | + | 0.405258i | ||||
\(211\) | 255.676 | + | 242.189i | 1.21173 | + | 1.14781i | 0.984761 | + | 0.173913i | \(0.0556413\pi\) |
0.226972 | + | 0.973901i | \(0.427117\pi\) | |||||||
\(212\) | −53.8043 | + | 2.91719i | −0.253794 | + | 0.0137603i | ||||
\(213\) | 39.5341 | − | 8.00232i | 0.185606 | − | 0.0375696i | ||||
\(214\) | −22.7047 | + | 33.4869i | −0.106097 | + | 0.156481i | ||||
\(215\) | 9.94690 | − | 91.4603i | 0.0462647 | − | 0.425397i | ||||
\(216\) | 76.2413 | − | 4.38857i | 0.352969 | − | 0.0203175i | ||||
\(217\) | −434.072 | + | 95.5465i | −2.00033 | + | 0.440307i | ||||
\(218\) | 261.486 | − | 42.8684i | 1.19948 | − | 0.196644i | ||||
\(219\) | 350.103 | + | 24.9377i | 1.59864 | + | 0.113871i | ||||
\(220\) | 15.1319 | + | 54.5002i | 0.0687814 | + | 0.247728i | ||||
\(221\) | −57.6677 | − | 75.8606i | −0.260940 | − | 0.343261i | ||||
\(222\) | −91.5578 | − | 180.001i | −0.412422 | − | 0.810816i | ||||
\(223\) | −107.744 | + | 203.226i | −0.483156 | + | 0.911329i | 0.515366 | + | 0.856970i | \(0.327656\pi\) |
−0.998521 | + | 0.0543582i | \(0.982689\pi\) | |||||||
\(224\) | 59.0979 | − | 23.5467i | 0.263830 | − | 0.105119i | ||||
\(225\) | −83.1163 | − | 170.494i | −0.369406 | − | 0.757751i | ||||
\(226\) | −106.831 | + | 125.771i | −0.472703 | + | 0.556509i | ||||
\(227\) | 150.395 | − | 79.7341i | 0.662531 | − | 0.351252i | −0.102972 | − | 0.994684i | \(-0.532835\pi\) |
0.765503 | + | 0.643433i | \(0.222490\pi\) | |||||||
\(228\) | 120.530 | + | 84.7372i | 0.528639 | + | 0.371654i | ||||
\(229\) | −316.200 | + | 146.290i | −1.38079 | + | 0.638820i | −0.962945 | − | 0.269699i | \(-0.913076\pi\) |
−0.417843 | + | 0.908519i | \(0.637214\pi\) | |||||||
\(230\) | −85.9738 | + | 73.0268i | −0.373799 | + | 0.317508i | ||||
\(231\) | −481.530 | − | 8.15993i | −2.08455 | − | 0.0353244i | ||||
\(232\) | 49.5460 | + | 37.6639i | 0.213560 | + | 0.162344i | ||||
\(233\) | −174.362 | + | 289.792i | −0.748334 | + | 1.24374i | 0.215308 | + | 0.976546i | \(0.430924\pi\) |
−0.963642 | + | 0.267195i | \(0.913903\pi\) | |||||||
\(234\) | −60.4311 | − | 143.158i | −0.258252 | − | 0.611788i | ||||
\(235\) | −82.1385 | −0.349526 | ||||||||
\(236\) | −40.8633 | + | 110.699i | −0.173150 | + | 0.469062i | ||||
\(237\) | −54.7568 | + | 20.7491i | −0.231041 | + | 0.0875489i | ||||
\(238\) | 117.636 | + | 39.6363i | 0.494270 | + | 0.166539i | ||||
\(239\) | 145.752 | − | 242.242i | 0.609841 | − | 1.01356i | −0.386004 | − | 0.922497i | \(-0.626145\pi\) |
0.995845 | − | 0.0910665i | \(-0.0290276\pi\) | |||||||
\(240\) | 6.74743 | − | 22.7964i | 0.0281143 | − | 0.0949849i | ||||
\(241\) | −100.470 | + | 252.162i | −0.416890 | + | 1.04631i | 0.559217 | + | 0.829021i | \(0.311102\pi\) |
−0.976107 | + | 0.217293i | \(0.930277\pi\) | |||||||
\(242\) | −89.2170 | + | 75.7816i | −0.368665 | + | 0.313147i | ||||
\(243\) | 151.583 | + | 189.925i | 0.623799 | + | 0.781585i | ||||
\(244\) | −11.0333 | − | 16.2729i | −0.0452185 | − | 0.0666923i | ||||
\(245\) | −135.601 | + | 71.8909i | −0.553472 | + | 0.293432i | ||||
\(246\) | 60.7844 | − | 170.782i | 0.247091 | − | 0.694238i | ||||
\(247\) | 80.2036 | − | 288.867i | 0.324711 | − | 1.16950i | ||||
\(248\) | 103.847 | − | 41.3764i | 0.418738 | − | 0.166840i | ||||
\(249\) | 354.925 | + | 44.6973i | 1.42540 | + | 0.179507i | ||||
\(250\) | −128.336 | + | 13.9574i | −0.513343 | + | 0.0558294i | ||||
\(251\) | −70.7079 | − | 93.0146i | −0.281705 | − | 0.370576i | 0.633378 | − | 0.773843i | \(-0.281668\pi\) |
−0.915083 | + | 0.403266i | \(0.867875\pi\) | |||||||
\(252\) | 169.814 | + | 110.178i | 0.673865 | + | 0.437214i | ||||
\(253\) | −521.601 | − | 241.318i | −2.06166 | − | 0.953827i | ||||
\(254\) | −97.4635 | + | 15.9783i | −0.383715 | + | 0.0629068i | ||||
\(255\) | 38.8323 | − | 25.3793i | 0.152284 | − | 0.0995268i | ||||
\(256\) | −13.7097 | + | 8.24886i | −0.0535536 | + | 0.0322221i | ||||
\(257\) | −37.5717 | + | 345.466i | −0.146194 | + | 1.34423i | 0.659415 | + | 0.751779i | \(0.270804\pi\) |
−0.805609 | + | 0.592448i | \(0.798162\pi\) | |||||||
\(258\) | −191.664 | − | 45.6066i | −0.742886 | − | 0.176770i | ||||
\(259\) | 86.6018 | − | 528.248i | 0.334370 | − | 2.03957i | ||||
\(260\) | −48.3038 | + | 2.61895i | −0.185784 | + | 0.0100729i | ||||
\(261\) | −6.70981 | + | 197.921i | −0.0257081 | + | 0.758320i | ||||
\(262\) | −179.267 | + | 169.810i | −0.684224 | + | 0.648131i | ||||
\(263\) | −36.7233 | − | 1.99108i | −0.139632 | − | 0.00757064i | −0.0158097 | − | 0.999875i | \(-0.505033\pi\) |
−0.123823 | + | 0.992304i | \(0.539515\pi\) | |||||||
\(264\) | 119.846 | − | 17.5680i | 0.453961 | − | 0.0665455i | ||||
\(265\) | −50.5819 | + | 17.0430i | −0.190875 | + | 0.0643133i | ||||
\(266\) | 124.699 | + | 370.095i | 0.468795 | + | 1.39133i | ||||
\(267\) | −36.3267 | − | 247.814i | −0.136055 | − | 0.928142i | ||||
\(268\) | 6.97080 | − | 128.569i | 0.0260104 | − | 0.479734i | ||||
\(269\) | 27.9802 | + | 29.5384i | 0.104016 | + | 0.109808i | 0.775924 | − | 0.630826i | \(-0.217284\pi\) |
−0.671909 | + | 0.740634i | \(0.734525\pi\) | |||||||
\(270\) | 71.6075 | − | 24.3934i | 0.265213 | − | 0.0903461i | ||||
\(271\) | −20.2075 | − | 372.705i | −0.0745664 | − | 1.37530i | −0.761306 | − | 0.648393i | \(-0.775441\pi\) |
0.686739 | − | 0.726904i | \(-0.259041\pi\) | |||||||
\(272\) | −30.8096 | − | 5.05097i | −0.113271 | − | 0.0185698i | ||||
\(273\) | 95.3470 | − | 400.702i | 0.349256 | − | 1.46777i | ||||
\(274\) | 204.765 | + | 22.2696i | 0.747319 | + | 0.0812759i | ||||
\(275\) | −155.101 | − | 257.779i | −0.564003 | − | 0.937380i | ||||
\(276\) | 132.156 | + | 202.209i | 0.478826 | + | 0.732641i | ||||
\(277\) | 70.6785 | + | 431.120i | 0.255157 | + | 1.55639i | 0.734406 | + | 0.678710i | \(0.237461\pi\) |
−0.479249 | + | 0.877679i | \(0.659091\pi\) | |||||||
\(278\) | 87.1798 | − | 188.436i | 0.313596 | − | 0.677827i | ||||
\(279\) | 298.398 | + | 193.605i | 1.06953 | + | 0.693925i | ||||
\(280\) | 50.1674 | − | 38.1363i | 0.179169 | − | 0.136201i | ||||
\(281\) | −31.5155 | − | 289.780i | −0.112155 | − | 1.03125i | −0.906044 | − | 0.423184i | \(-0.860912\pi\) |
0.793889 | − | 0.608063i | \(-0.208053\pi\) | |||||||
\(282\) | −21.9781 | + | 174.520i | −0.0779365 | + | 0.618865i | ||||
\(283\) | −24.7928 | − | 62.2252i | −0.0876069 | − | 0.219877i | 0.878645 | − | 0.477476i | \(-0.158448\pi\) |
−0.966252 | + | 0.257599i | \(0.917069\pi\) | |||||||
\(284\) | −25.9104 | − | 7.19399i | −0.0912338 | − | 0.0253309i | ||||
\(285\) | 137.499 | + | 48.9382i | 0.482452 | + | 0.171713i | ||||
\(286\) | −115.446 | − | 217.755i | −0.403658 | − | 0.761380i | ||||
\(287\) | 397.709 | − | 269.654i | 1.38575 | − | 0.939560i | ||||
\(288\) | −46.6301 | − | 20.4360i | −0.161910 | − | 0.0709584i | ||||
\(289\) | 147.655 | + | 173.833i | 0.510917 | + | 0.601498i | ||||
\(290\) | 57.2718 | + | 22.8192i | 0.197489 | + | 0.0786867i | ||||
\(291\) | 200.215 | + | 59.2610i | 0.688023 | + | 0.203646i | ||||
\(292\) | −200.499 | − | 120.636i | −0.686640 | − | 0.413138i | ||||
\(293\) | −146.778 | + | 435.622i | −0.500949 | + | 1.48676i | 0.337258 | + | 0.941412i | \(0.390501\pi\) |
−0.838207 | + | 0.545352i | \(0.816396\pi\) | |||||||
\(294\) | 116.464 | + | 307.347i | 0.396135 | + | 1.04540i | ||||
\(295\) | −9.66690 | + | 116.488i | −0.0327691 | + | 0.394876i | ||||
\(296\) | 134.632i | 0.454839i | ||||||||
\(297\) | 265.986 | + | 278.930i | 0.895574 | + | 0.939157i | ||||
\(298\) | −183.559 | − | 110.444i | −0.615968 | − | 0.370616i | ||||
\(299\) | 297.462 | − | 391.304i | 0.994855 | − | 1.30871i | ||||
\(300\) | −2.14249 | + | 126.432i | −0.00714163 | + | 0.421439i | ||||
\(301\) | −338.081 | − | 398.019i | −1.12319 | − | 1.32232i | ||||
\(302\) | 118.779 | + | 256.737i | 0.393308 | + | 0.850122i | ||||
\(303\) | −160.356 | + | 228.090i | −0.529229 | + | 0.752772i | ||||
\(304\) | −46.0088 | − | 86.7819i | −0.151345 | − | 0.285467i | ||||
\(305\) | −14.8435 | − | 12.6082i | −0.0486672 | − | 0.0413383i | ||||
\(306\) | −43.5331 | − | 89.2981i | −0.142265 | − | 0.291824i | ||||
\(307\) | 102.235 | + | 256.591i | 0.333014 | + | 0.835802i | 0.996179 | + | 0.0873293i | \(0.0278332\pi\) |
−0.663165 | + | 0.748473i | \(0.730787\pi\) | |||||||
\(308\) | 283.666 | + | 150.390i | 0.920993 | + | 0.488280i | ||||
\(309\) | −115.438 | + | 58.7179i | −0.373587 | + | 0.190025i | ||||
\(310\) | 88.1544 | − | 67.0132i | 0.284369 | − | 0.216172i | ||||
\(311\) | 429.626 | − | 119.285i | 1.38143 | − | 0.383553i | 0.504188 | − | 0.863594i | \(-0.331792\pi\) |
0.877246 | + | 0.480040i | \(0.159378\pi\) | |||||||
\(312\) | −7.36031 | + | 103.332i | −0.0235907 | + | 0.331192i | ||||
\(313\) | −15.6550 | − | 95.4913i | −0.0500160 | − | 0.305084i | 0.949957 | − | 0.312379i | \(-0.101126\pi\) |
−0.999973 | + | 0.00729552i | \(0.997678\pi\) | |||||||
\(314\) | −26.9432 | − | 122.404i | −0.0858062 | − | 0.389822i | ||||
\(315\) | 191.282 | + | 60.1600i | 0.607243 | + | 0.190984i | ||||
\(316\) | 38.8086 | + | 4.22069i | 0.122812 | + | 0.0133566i | ||||
\(317\) | 70.5383 | + | 47.8261i | 0.222518 | + | 0.150871i | 0.667353 | − | 0.744742i | \(-0.267427\pi\) |
−0.444835 | + | 0.895613i | \(0.646738\pi\) | |||||||
\(318\) | 22.6770 | + | 112.032i | 0.0713113 | + | 0.352301i | ||||
\(319\) | 17.0052 | + | 313.643i | 0.0533079 | + | 0.983206i | ||||
\(320\) | −10.8996 | + | 11.5065i | −0.0340612 | + | 0.0359579i | ||||
\(321\) | 77.2710 | + | 37.3516i | 0.240720 | + | 0.116360i | ||||
\(322\) | −34.6657 | + | 639.370i | −0.107657 | + | 1.98562i | ||||
\(323\) | 41.2022 | − | 187.183i | 0.127561 | − | 0.579515i | ||||
\(324\) | −32.6686 | − | 158.672i | −0.100829 | − | 0.489728i | ||||
\(325\) | 243.828 | − | 82.1553i | 0.750241 | − | 0.252786i | ||||
\(326\) | 29.0564 | − | 132.005i | 0.0891300 | − | 0.404922i | ||||
\(327\) | −170.428 | − | 535.640i | −0.521187 | − | 1.63804i | ||||
\(328\) | −87.7376 | + | 83.1094i | −0.267493 | + | 0.253382i | ||||
\(329\) | −320.639 | + | 338.495i | −0.974587 | + | 1.02886i | ||||
\(330\) | 109.734 | − | 48.5284i | 0.332528 | − | 0.147056i | ||||
\(331\) | 7.71030 | − | 47.0307i | 0.0232940 | − | 0.142087i | −0.972619 | − | 0.232406i | \(-0.925340\pi\) |
0.995913 | + | 0.0903188i | \(0.0287886\pi\) | |||||||
\(332\) | −197.392 | − | 133.835i | −0.594554 | − | 0.403118i | ||||
\(333\) | −349.633 | + | 247.551i | −1.04995 | + | 0.743397i | ||||
\(334\) | 17.8759 | − | 10.7556i | 0.0535207 | − | 0.0322023i | ||||
\(335\) | −27.4184 | − | 124.563i | −0.0818461 | − | 0.371830i | ||||
\(336\) | −67.6049 | − | 116.795i | −0.201205 | − | 0.347605i | ||||
\(337\) | −563.332 | − | 260.625i | −1.67161 | − | 0.773369i | −0.999457 | − | 0.0329565i | \(-0.989508\pi\) |
−0.672153 | − | 0.740412i | \(-0.734630\pi\) | |||||||
\(338\) | −27.1838 | + | 7.54754i | −0.0804254 | + | 0.0223300i | ||||
\(339\) | 296.848 | + | 185.530i | 0.875659 | + | 0.547285i | ||||
\(340\) | −30.7456 | + | 3.34378i | −0.0904282 | + | 0.00983466i | ||||
\(341\) | 498.459 | + | 264.266i | 1.46176 | + | 0.774974i | ||||
\(342\) | 140.770 | − | 279.050i | 0.411609 | − | 0.815935i | ||||
\(343\) | −85.6513 | + | 308.488i | −0.249712 | + | 0.899383i | ||||
\(344\) | 100.105 | + | 85.0302i | 0.291004 | + | 0.247181i | ||||
\(345\) | 179.727 | + | 157.981i | 0.520948 | + | 0.457916i | ||||
\(346\) | −249.737 | − | 368.334i | −0.721783 | − | 1.06455i | ||||
\(347\) | −189.333 | − | 409.236i | −0.545628 | − | 1.17936i | −0.962722 | − | 0.270492i | \(-0.912814\pi\) |
0.417094 | − | 0.908863i | \(-0.363048\pi\) | |||||||
\(348\) | 63.8084 | − | 115.580i | 0.183357 | − | 0.332126i | ||||
\(349\) | 30.6556 | − | 76.9397i | 0.0878384 | − | 0.220458i | −0.878495 | − | 0.477752i | \(-0.841452\pi\) |
0.966333 | + | 0.257294i | \(0.0828310\pi\) | |||||||
\(350\) | −202.840 | + | 266.832i | −0.579544 | + | 0.762377i | ||||
\(351\) | −281.881 | + | 170.884i | −0.803079 | + | 0.486850i | ||||
\(352\) | −76.5239 | − | 25.7839i | −0.217397 | − | 0.0732497i | ||||
\(353\) | − | 366.920i | − | 1.03943i | −0.854339 | − | 0.519717i | \(-0.826037\pi\) | ||
0.854339 | − | 0.519717i | \(-0.173963\pi\) | |||||||
\(354\) | 244.917 | + | 51.7085i | 0.691855 | + | 0.146069i | ||||
\(355\) | −26.6373 | −0.0750348 | ||||||||
\(356\) | −53.3153 | + | 158.234i | −0.149762 | + | 0.444478i | ||||
\(357\) | 46.9986 | − | 259.101i | 0.131649 | − | 0.725772i | ||||
\(358\) | 339.005 | + | 257.705i | 0.946941 | + | 0.719846i | ||||
\(359\) | −42.0693 | − | 16.7619i | −0.117185 | − | 0.0466906i | 0.310809 | − | 0.950472i | \(-0.399400\pi\) |
−0.427994 | + | 0.903782i | \(0.640779\pi\) | |||||||
\(360\) | −49.9231 | − | 7.14828i | −0.138675 | − | 0.0198563i | ||||
\(361\) | 219.628 | − | 101.611i | 0.608388 | − | 0.281470i | ||||
\(362\) | −30.8367 | + | 20.9078i | −0.0851842 | + | 0.0577563i | ||||
\(363\) | 186.507 | + | 163.941i | 0.513793 | + | 0.451627i | ||||
\(364\) | −177.768 | + | 209.284i | −0.488373 | + | 0.574957i | ||||
\(365\) | −223.341 | − | 62.0104i | −0.611894 | − | 0.169891i | ||||
\(366\) | −30.7604 | + | 28.1644i | −0.0840448 | + | 0.0769520i | ||||
\(367\) | −16.0301 | + | 30.2360i | −0.0436787 | + | 0.0823868i | −0.904391 | − | 0.426706i | \(-0.859674\pi\) |
0.860712 | + | 0.509092i | \(0.170019\pi\) | |||||||
\(368\) | −17.4119 | − | 160.099i | −0.0473148 | − | 0.435053i | ||||
\(369\) | −377.155 | − | 75.0346i | −1.02210 | − | 0.203346i | ||||
\(370\) | 35.6788 | + | 128.503i | 0.0964292 | + | 0.347307i | ||||
\(371\) | −127.219 | + | 274.979i | −0.342908 | + | 0.741183i | ||||
\(372\) | −118.795 | − | 205.233i | −0.319343 | − | 0.551701i | ||||
\(373\) | 520.747 | − | 114.625i | 1.39610 | − | 0.307306i | 0.547709 | − | 0.836669i | \(-0.315500\pi\) |
0.848396 | + | 0.529363i | \(0.177569\pi\) | |||||||
\(374\) | −81.2357 | − | 135.015i | −0.217208 | − | 0.361002i | ||||
\(375\) | 68.7804 | + | 265.068i | 0.183415 | + | 0.706849i | ||||
\(376\) | 65.8080 | − | 97.0595i | 0.175021 | − | 0.258137i | ||||
\(377\) | −265.099 | − | 43.4608i | −0.703180 | − | 0.115281i | ||||
\(378\) | 179.004 | − | 390.320i | 0.473556 | − | 1.03259i | ||||
\(379\) | 139.503 | + | 132.144i | 0.368082 | + | 0.348666i | 0.849277 | − | 0.527948i | \(-0.177038\pi\) |
−0.481195 | + | 0.876614i | \(0.659797\pi\) | |||||||
\(380\) | −66.9123 | − | 70.6385i | −0.176085 | − | 0.185891i | ||||
\(381\) | 63.5237 | + | 199.649i | 0.166729 | + | 0.524013i | ||||
\(382\) | −19.4446 | − | 4.28007i | −0.0509020 | − | 0.0112044i | ||||
\(383\) | −57.7556 | − | 171.412i | −0.150798 | − | 0.447552i | 0.845454 | − | 0.534048i | \(-0.179330\pi\) |
−0.996252 | + | 0.0864956i | \(0.972433\pi\) | |||||||
\(384\) | 21.5316 | + | 26.2372i | 0.0560718 | + | 0.0683261i | ||||
\(385\) | 310.607 | + | 68.3698i | 0.806772 | + | 0.177584i | ||||
\(386\) | −256.979 | − | 13.9330i | −0.665748 | − | 0.0360958i | ||||
\(387\) | −36.7531 | + | 416.314i | −0.0949693 | + | 1.07575i | ||||
\(388\) | −101.059 | − | 95.7282i | −0.260461 | − | 0.246722i | ||||
\(389\) | −137.595 | + | 7.46018i | −0.353714 | + | 0.0191778i | −0.230140 | − | 0.973157i | \(-0.573918\pi\) |
−0.123574 | + | 0.992335i | \(0.539436\pi\) | |||||||
\(390\) | 20.3587 | + | 100.578i | 0.0522017 | + | 0.257894i | ||||
\(391\) | 176.350 | − | 260.097i | 0.451023 | − | 0.665209i | ||||
\(392\) | 23.6905 | − | 217.831i | 0.0604351 | − | 0.555691i | ||||
\(393\) | 411.569 | + | 324.015i | 1.04725 | + | 0.824465i | ||||
\(394\) | 452.259 | − | 99.5496i | 1.14786 | − | 0.252664i | ||||
\(395\) | 38.1604 | − | 6.25609i | 0.0966087 | − | 0.0158382i | ||||
\(396\) | −73.7466 | − | 246.138i | −0.186229 | − | 0.621559i | ||||
\(397\) | 35.5581 | + | 128.069i | 0.0895670 | + | 0.322591i | 0.994737 | − | 0.102458i | \(-0.0326706\pi\) |
−0.905170 | + | 0.425049i | \(0.860257\pi\) | |||||||
\(398\) | 35.1411 | + | 46.2273i | 0.0882942 | + | 0.116149i | ||||
\(399\) | 738.422 | − | 375.599i | 1.85068 | − | 0.941350i | ||||
\(400\) | 39.4868 | − | 74.4800i | 0.0987170 | − | 0.186200i | ||||
\(401\) | 201.630 | − | 80.3367i | 0.502817 | − | 0.200341i | −0.104917 | − | 0.994481i | \(-0.533458\pi\) |
0.607735 | + | 0.794140i | \(0.292078\pi\) | |||||||
\(402\) | −271.996 | + | 24.9263i | −0.676608 | + | 0.0620056i | ||||
\(403\) | −312.374 | + | 367.755i | −0.775122 | + | 0.912544i | ||||
\(404\) | 164.226 | − | 87.0670i | 0.406499 | − | 0.215512i | ||||
\(405\) | −73.2308 | − | 142.791i | −0.180817 | − | 0.352571i | ||||
\(406\) | 317.607 | − | 146.940i | 0.782282 | − | 0.361922i | ||||
\(407\) | −517.875 | + | 439.887i | −1.27242 | + | 1.08080i | ||||
\(408\) | −1.12215 | + | 66.2200i | −0.00275037 | + | 0.162304i | ||||
\(409\) | −12.2279 | − | 9.29541i | −0.0298971 | − | 0.0227272i | 0.590119 | − | 0.807316i | \(-0.299081\pi\) |
−0.620016 | + | 0.784589i | \(0.712874\pi\) | |||||||
\(410\) | −61.7187 | + | 102.577i | −0.150533 | + | 0.250188i | ||||
\(411\) | −16.2595 | − | 436.632i | −0.0395607 | − | 1.06236i | ||||
\(412\) | 86.3425 | 0.209569 | ||||||||
\(413\) | 442.315 | + | 494.566i | 1.07098 | + | 1.19750i | ||||
\(414\) | 383.753 | − | 339.595i | 0.926941 | − | 0.820278i | ||||
\(415\) | −223.873 | − | 75.4318i | −0.539454 | − | 0.181763i | ||||
\(416\) | 35.6055 | − | 59.1767i | 0.0855900 | − | 0.142252i | ||||
\(417\) | −422.329 | − | 125.004i | −1.01278 | − | 0.299770i | ||||
\(418\) | 183.488 | − | 460.521i | 0.438967 | − | 1.10172i | ||||
\(419\) | −395.145 | + | 335.640i | −0.943068 | + | 0.801049i | −0.980149 | − | 0.198263i | \(-0.936470\pi\) |
0.0370810 | + | 0.999312i | \(0.488194\pi\) | |||||||
\(420\) | −95.4790 | − | 93.5624i | −0.227331 | − | 0.222768i | ||||
\(421\) | −46.9645 | − | 69.2674i | −0.111555 | − | 0.164531i | 0.767813 | − | 0.640674i | \(-0.221345\pi\) |
−0.879368 | + | 0.476143i | \(0.842034\pi\) | |||||||
\(422\) | −440.031 | + | 233.290i | −1.04273 | + | 0.552819i | ||||
\(423\) | 373.060 | − | 7.56557i | 0.881939 | − | 0.0178855i | ||||
\(424\) | 20.3863 | − | 73.4250i | 0.0480810 | − | 0.173172i | ||||
\(425\) | 152.812 | − | 60.8858i | 0.359557 | − | 0.143261i | ||||
\(426\) | −7.12745 | + | 56.5965i | −0.0167311 | + | 0.132856i | ||||
\(427\) | −109.902 | + | 11.9526i | −0.257383 | + | 0.0279920i | ||||
\(428\) | −34.6261 | − | 45.5499i | −0.0809021 | − | 0.106425i | ||||
\(429\) | −421.523 | + | 309.306i | −0.982572 | + | 0.720994i | ||||
\(430\) | 118.082 | + | 54.6305i | 0.274609 | + | 0.127048i | ||||
\(431\) | 72.1966 | − | 11.8360i | 0.167509 | − | 0.0274618i | −0.0774435 | − | 0.996997i | \(-0.524676\pi\) |
0.244953 | + | 0.969535i | \(0.421227\pi\) | |||||||
\(432\) | −28.5461 | + | 104.159i | −0.0660789 | + | 0.241109i | ||||
\(433\) | 18.0067 | − | 10.8343i | 0.0415860 | − | 0.0250214i | −0.494609 | − | 0.869116i | \(-0.664689\pi\) |
0.536195 | + | 0.844094i | \(0.319861\pi\) | |||||||
\(434\) | 67.9600 | − | 624.882i | 0.156590 | − | 1.43982i | ||||
\(435\) | 30.2739 | − | 127.228i | 0.0695952 | − | 0.292478i | ||||
\(436\) | −60.6251 | + | 369.796i | −0.139048 | + | 0.848157i | ||||
\(437\) | 987.193 | − | 53.5241i | 2.25902 | − | 0.122481i | ||||
\(438\) | −191.514 | + | 457.942i | −0.437246 | + | 1.04553i | ||||
\(439\) | 283.459 | − | 268.507i | 0.645693 | − | 0.611633i | −0.293114 | − | 0.956078i | \(-0.594691\pi\) |
0.938807 | + | 0.344445i | \(0.111933\pi\) | |||||||
\(440\) | −79.8732 | − | 4.33060i | −0.181530 | − | 0.00984227i | ||||
\(441\) | 609.255 | − | 339.007i | 1.38153 | − | 0.768723i | ||||
\(442\) | 127.708 | − | 43.0297i | 0.288931 | − | 0.0973523i | ||||
\(443\) | 84.5923 | + | 251.061i | 0.190953 | + | 0.566729i | 0.999773 | − | 0.0213283i | \(-0.00678952\pi\) |
−0.808819 | + | 0.588057i | \(0.799893\pi\) | |||||||
\(444\) | 282.579 | − | 41.4228i | 0.636438 | − | 0.0932946i | ||||
\(445\) | −8.95471 | + | 165.160i | −0.0201229 | + | 0.371146i | ||||
\(446\) | −223.708 | − | 236.165i | −0.501587 | − | 0.529519i | ||||
\(447\) | −175.333 | + | 419.250i | −0.392243 | + | 0.937919i | ||||
\(448\) | 4.87070 | + | 89.8348i | 0.0108721 | + | 0.200524i | ||||
\(449\) | −39.2530 | − | 6.43520i | −0.0874231 | − | 0.0143323i | 0.117912 | − | 0.993024i | \(-0.462380\pi\) |
−0.205335 | + | 0.978692i | \(0.565828\pi\) | |||||||
\(450\) | 266.025 | − | 34.4028i | 0.591168 | − | 0.0764507i | ||||
\(451\) | −606.354 | − | 65.9449i | −1.34446 | − | 0.146219i | ||||
\(452\) | −120.316 | − | 199.966i | −0.266185 | − | 0.442403i | ||||
\(453\) | 502.317 | − | 328.295i | 1.10887 | − | 0.724713i | ||||
\(454\) | 38.9462 | + | 237.561i | 0.0857845 | + | 0.523262i | ||||
\(455\) | −114.213 | + | 246.867i | −0.251017 | + | 0.542565i | ||||
\(456\) | −167.990 | + | 123.268i | −0.368399 | + | 0.270324i | ||||
\(457\) | −473.855 | + | 360.215i | −1.03688 | + | 0.788216i | −0.977695 | − | 0.210031i | \(-0.932644\pi\) |
−0.0591860 | + | 0.998247i | \(0.518851\pi\) | |||||||
\(458\) | −53.2717 | − | 489.825i | −0.116314 | − | 1.06949i | ||||
\(459\) | −174.033 | + | 118.846i | −0.379156 | + | 0.258923i | ||||
\(460\) | −59.0470 | − | 148.197i | −0.128363 | − | 0.322167i | ||||
\(461\) | 150.865 | + | 41.8874i | 0.327255 | + | 0.0908620i | 0.427270 | − | 0.904124i | \(-0.359475\pi\) |
−0.100015 | + | 0.994986i | \(0.531889\pi\) | |||||||
\(462\) | 228.376 | − | 641.654i | 0.494320 | − | 1.38886i | ||||
\(463\) | −110.846 | − | 209.077i | −0.239407 | − | 0.451570i | 0.734471 | − | 0.678640i | \(-0.237430\pi\) |
−0.973879 | + | 0.227070i | \(0.927085\pi\) | |||||||
\(464\) | −72.8496 | + | 49.3932i | −0.157003 | + | 0.106451i | ||||
\(465\) | −167.776 | − | 164.408i | −0.360809 | − | 0.353566i | ||||
\(466\) | −309.639 | − | 364.535i | −0.664462 | − | 0.782265i | ||||
\(467\) | −399.704 | − | 159.256i | −0.855897 | − | 0.341020i | −0.0994235 | − | 0.995045i | \(-0.531700\pi\) |
−0.756473 | + | 0.654025i | \(0.773079\pi\) | |||||||
\(468\) | 219.147 | − | 16.3440i | 0.468263 | − | 0.0349231i | ||||
\(469\) | −620.360 | − | 373.258i | −1.32273 | − | 0.795859i | ||||
\(470\) | 37.0905 | − | 110.081i | 0.0789160 | − | 0.234214i | ||||
\(471\) | −248.623 | + | 94.2111i | −0.527861 | + | 0.200024i | ||||
\(472\) | −129.904 | − | 104.751i | −0.275221 | − | 0.221931i | ||||
\(473\) | 662.884i | 1.40145i | ||||||||
\(474\) | −3.08161 | − | 82.7536i | −0.00650129 | − | 0.174586i | ||||
\(475\) | 443.437 | + | 266.807i | 0.933552 | + | 0.561700i | ||||
\(476\) | −106.240 | + | 139.756i | −0.223193 | + | 0.293605i | ||||
\(477\) | 228.165 | − | 82.0657i | 0.478334 | − | 0.172045i | ||||
\(478\) | 258.833 | + | 304.721i | 0.541491 | + | 0.637492i | ||||
\(479\) | 125.004 | + | 270.191i | 0.260968 | + | 0.564073i | 0.993124 | − | 0.117064i | \(-0.0373481\pi\) |
−0.732157 | + | 0.681136i | \(0.761486\pi\) | |||||||
\(480\) | 27.5045 | + | 19.3367i | 0.0573010 | + | 0.0402849i | ||||
\(481\) | −272.206 | − | 513.434i | −0.565916 | − | 1.06743i | ||||
\(482\) | −292.575 | − | 248.515i | −0.607001 | − | 0.515591i | ||||
\(483\) | 1352.63 | − | 123.958i | 2.80048 | − | 0.256641i | ||||
\(484\) | −61.2744 | − | 153.787i | −0.126600 | − | 0.317742i | ||||
\(485\) | −121.827 | − | 64.5887i | −0.251190 | − | 0.133173i | ||||
\(486\) | −322.984 | + | 117.387i | −0.664575 | + | 0.241537i | ||||
\(487\) | 345.344 | − | 262.524i | 0.709126 | − | 0.539063i | −0.187275 | − | 0.982308i | \(-0.559966\pi\) |
0.896401 | + | 0.443244i | \(0.146172\pi\) | |||||||
\(488\) | 26.7909 | − | 7.43846i | 0.0548994 | − | 0.0152427i | ||||
\(489\) | −286.003 | − | 20.3719i | −0.584873 | − | 0.0416603i | ||||
\(490\) | −35.1151 | − | 214.193i | −0.0716635 | − | 0.437128i | ||||
\(491\) | 16.8533 | + | 76.5652i | 0.0343244 | + | 0.155937i | 0.990665 | − | 0.136316i | \(-0.0435261\pi\) |
−0.956341 | + | 0.292253i | \(0.905595\pi\) | |||||||
\(492\) | 201.432 | + | 158.581i | 0.409415 | + | 0.322319i | ||||
\(493\) | −170.738 | − | 18.5689i | −0.346326 | − | 0.0376652i | ||||
\(494\) | 350.919 | + | 237.929i | 0.710361 | + | 0.481637i | ||||
\(495\) | −135.618 | − | 215.389i | −0.273976 | − | 0.435129i | ||||
\(496\) | 8.55881 | + | 157.858i | 0.0172557 | + | 0.318262i | ||||
\(497\) | −103.983 | + | 109.773i | −0.209221 | + | 0.220871i | ||||
\(498\) | −220.173 | + | 455.481i | −0.442114 | + | 0.914621i | ||||
\(499\) | 7.04358 | − | 129.911i | 0.0141154 | − | 0.260343i | −0.982955 | − | 0.183848i | \(-0.941144\pi\) |
0.997070 | − | 0.0764946i | \(-0.0243728\pi\) | |||||||
\(500\) | 39.2459 | − | 178.296i | 0.0784919 | − | 0.356592i | ||||
\(501\) | −28.0747 | − | 34.2104i | −0.0560374 | − | 0.0682842i | ||||
\(502\) | 156.586 | − | 52.7598i | 0.311924 | − | 0.105099i | ||||
\(503\) | −42.4784 | + | 192.981i | −0.0844500 | + | 0.383660i | −0.999820 | − | 0.0189526i | \(-0.993967\pi\) |
0.915370 | + | 0.402613i | \(0.131898\pi\) | |||||||
\(504\) | −224.340 | + | 177.830i | −0.445119 | + | 0.352837i | ||||
\(505\) | 133.676 | − | 126.625i | 0.264705 | − | 0.250742i | ||||
\(506\) | 558.945 | − | 590.071i | 1.10463 | − | 1.16615i | ||||
\(507\) | 24.2052 | + | 54.7336i | 0.0477419 | + | 0.107956i | ||||
\(508\) | 22.5968 | − | 137.834i | 0.0444819 | − | 0.271327i | ||||
\(509\) | 124.952 | + | 84.7197i | 0.245486 | + | 0.166443i | 0.677725 | − | 0.735316i | \(-0.262966\pi\) |
−0.432239 | + | 0.901759i | \(0.642276\pi\) | |||||||
\(510\) | 16.4778 | + | 63.5028i | 0.0323095 | + | 0.124515i | ||||
\(511\) | −1127.39 | + | 678.328i | −2.20624 | + | 1.32745i | ||||
\(512\) | −4.86423 | − | 22.0984i | −0.00950044 | − | 0.0431609i | ||||
\(513\) | −629.006 | − | 209.605i | −1.22613 | − | 0.408587i | ||||
\(514\) | −446.023 | − | 206.352i | −0.867748 | − | 0.401463i | ||||
\(515\) | 82.4119 | − | 22.8816i | 0.160023 | − | 0.0444302i | ||||
\(516\) | 147.669 | − | 236.272i | 0.286181 | − | 0.457891i | ||||
\(517\) | 588.363 | − | 63.9883i | 1.13803 | − | 0.123768i | ||||
\(518\) | 668.843 | + | 354.598i | 1.29120 | + | 0.684552i | ||||
\(519\) | −696.256 | + | 637.497i | −1.34153 | + | 1.22832i | ||||
\(520\) | 18.3022 | − | 65.9186i | 0.0351965 | − | 0.126766i | ||||
\(521\) | −273.553 | − | 232.358i | −0.525054 | − | 0.445985i | 0.345242 | − | 0.938514i | \(-0.387797\pi\) |
−0.870296 | + | 0.492529i | \(0.836073\pi\) | |||||||
\(522\) | −262.221 | − | 98.3659i | −0.502340 | − | 0.188440i | ||||
\(523\) | 198.028 | + | 292.069i | 0.378638 | + | 0.558449i | 0.968487 | − | 0.249064i | \(-0.0801231\pi\) |
−0.589849 | + | 0.807514i | \(0.700813\pi\) | |||||||
\(524\) | −146.627 | − | 316.930i | −0.279823 | − | 0.604828i | ||||
\(525\) | 622.460 | + | 343.643i | 1.18564 | + | 0.654557i | ||||
\(526\) | 19.2512 | − | 48.3169i | 0.0365993 | − | 0.0918572i | ||||
\(527\) | −186.685 | + | 245.580i | −0.354241 | + | 0.465996i | ||||
\(528\) | −30.5732 | + | 168.548i | −0.0579038 | + | 0.319220i | ||||
\(529\) | 1034.78 | + | 348.657i | 1.95610 | + | 0.659087i | ||||
\(530\) | − | 75.4850i | − | 0.142424i | ||||||
\(531\) | 33.1761 | − | 529.963i | 0.0624785 | − | 0.998046i | ||||
\(532\) | −552.305 | −1.03817 | ||||||||
\(533\) | 166.562 | − | 494.338i | 0.312499 | − | 0.927463i | ||||
\(534\) | 348.520 | + | 63.2185i | 0.652659 | + | 0.118387i | ||||
\(535\) | −45.1209 | − | 34.3000i | −0.0843382 | − | 0.0641122i | ||||
\(536\) | 169.158 | + | 67.3988i | 0.315593 | + | 0.125744i | ||||
\(537\) | 436.591 | − | 790.822i | 0.813019 | − | 1.47267i | ||||
\(538\) | −52.2216 | + | 24.1603i | −0.0970662 | + | 0.0449076i | ||||
\(539\) | 915.309 | − | 620.595i | 1.69816 | − | 1.15138i | ||||
\(540\) | 0.356549 | + | 106.982i | 0.000660276 | + | 0.198116i | ||||
\(541\) | 182.170 | − | 214.467i | 0.336728 | − | 0.396427i | −0.567573 | − | 0.823323i | \(-0.692117\pi\) |
0.904300 | + | 0.426897i | \(0.140393\pi\) | |||||||
\(542\) | 508.619 | + | 141.217i | 0.938411 | + | 0.260549i | ||||
\(543\) | 53.3707 | + | 58.2900i | 0.0982886 | + | 0.107348i | ||||
\(544\) | 20.6816 | − | 39.0097i | 0.0380177 | − | 0.0717090i | ||||
\(545\) | 40.1342 | + | 369.028i | 0.0736408 | + | 0.677116i | ||||
\(546\) | 493.959 | + | 308.724i | 0.904687 | + | 0.565428i | ||||
\(547\) | −62.8111 | − | 226.225i | −0.114828 | − | 0.413574i | 0.883685 | − | 0.468082i | \(-0.155055\pi\) |
−0.998513 | + | 0.0545078i | \(0.982641\pi\) | |||||||
\(548\) | −122.309 | + | 264.367i | −0.223192 | + | 0.482422i | ||||
\(549\) | 68.5782 | + | 55.8972i | 0.124915 | + | 0.101816i | ||||
\(550\) | 415.509 | − | 91.4605i | 0.755471 | − | 0.166292i | ||||
\(551\) | −278.567 | − | 462.983i | −0.505567 | − | 0.840259i | ||||
\(552\) | −330.674 | + | 85.8039i | −0.599047 | + | 0.155442i | ||||
\(553\) | 123.183 | − | 181.682i | 0.222754 | − | 0.328538i | ||||
\(554\) | −609.695 | − | 99.9545i | −1.10053 | − | 0.180423i | ||||
\(555\) | 258.737 | − | 114.423i | 0.466193 | − | 0.206168i | ||||
\(556\) | 213.172 | + | 201.927i | 0.383403 | + | 0.363179i | ||||
\(557\) | 596.608 | + | 629.831i | 1.07111 | + | 1.13076i | 0.990985 | + | 0.133971i | \(0.0427730\pi\) |
0.0801239 | + | 0.996785i | \(0.474468\pi\) | |||||||
\(558\) | −394.211 | + | 312.483i | −0.706471 | + | 0.560006i | ||||
\(559\) | −553.679 | − | 121.874i | −0.990482 | − | 0.218021i | ||||
\(560\) | 28.4560 | + | 84.4544i | 0.0508143 | + | 0.150811i | ||||
\(561\) | −258.387 | + | 212.045i | −0.460583 | + | 0.377977i | ||||
\(562\) | 402.590 | + | 88.6168i | 0.716352 | + | 0.157681i | ||||
\(563\) | −131.770 | − | 7.14439i | −0.234051 | − | 0.0126899i | −0.0632595 | − | 0.997997i | \(-0.520150\pi\) |
−0.170791 | + | 0.985307i | \(0.554632\pi\) | |||||||
\(564\) | −223.965 | − | 108.261i | −0.397100 | − | 0.191952i | ||||
\(565\) | −167.831 | − | 158.978i | −0.297046 | − | 0.281377i | ||||
\(566\) | 94.5886 | − | 5.12844i | 0.167118 | − | 0.00906086i | ||||
\(567\) | −874.312 | − | 255.619i | −1.54200 | − | 0.450827i | ||||
\(568\) | 21.3414 | − | 31.4762i | 0.0375729 | − | 0.0554158i | ||||
\(569\) | 76.3345 | − | 701.884i | 0.134155 | − | 1.23354i | −0.712605 | − | 0.701565i | \(-0.752485\pi\) |
0.846761 | − | 0.531974i | \(-0.178550\pi\) | |||||||
\(570\) | −127.675 | + | 162.175i | −0.223992 | + | 0.284518i | ||||
\(571\) | 744.225 | − | 163.816i | 1.30337 | − | 0.286894i | 0.491576 | − | 0.870835i | \(-0.336421\pi\) |
0.811796 | + | 0.583941i | \(0.198490\pi\) | |||||||
\(572\) | 343.962 | − | 56.3898i | 0.601333 | − | 0.0985835i | ||||
\(573\) | −3.00082 | + | 42.1288i | −0.00523704 | + | 0.0735233i | ||||
\(574\) | 181.796 | + | 654.769i | 0.316717 | + | 1.14071i | ||||
\(575\) | 513.488 | + | 675.482i | 0.893023 | + | 1.17475i | ||||
\(576\) | 48.4443 | − | 53.2649i | 0.0841048 | − | 0.0924737i | ||||
\(577\) | −13.7111 | + | 25.8619i | −0.0237627 | + | 0.0448213i | −0.895109 | − | 0.445847i | \(-0.852903\pi\) |
0.871346 | + | 0.490668i | \(0.163247\pi\) | |||||||
\(578\) | −299.643 | + | 119.389i | −0.518414 | + | 0.206555i | ||||
\(579\) | 49.8217 | + | 543.657i | 0.0860479 | + | 0.938958i | ||||
\(580\) | −56.4435 | + | 66.4505i | −0.0973164 | + | 0.114570i | ||||
\(581\) | −1184.78 | + | 628.129i | −2.03920 | + | 1.08112i | ||||
\(582\) | −169.830 | + | 241.565i | −0.291804 | + | 0.415060i | ||||
\(583\) | 349.044 | − | 161.485i | 0.598703 | − | 0.276989i | ||||
\(584\) | 252.212 | − | 214.231i | 0.431870 | − | 0.366834i | ||||
\(585\) | 204.839 | − | 73.6759i | 0.350153 | − | 0.125942i | ||||
\(586\) | −517.534 | − | 393.419i | −0.883165 | − | 0.671364i | ||||
\(587\) | −152.383 | + | 253.263i | −0.259596 | + | 0.431452i | −0.959055 | − | 0.283221i | \(-0.908597\pi\) |
0.699458 | + | 0.714673i | \(0.253425\pi\) | |||||||
\(588\) | −464.492 | + | 17.2969i | −0.789953 | + | 0.0294166i | ||||
\(589\) | −970.512 | −1.64773 | ||||||||
\(590\) | −151.751 | − | 65.5570i | −0.257205 | − | 0.111114i | ||||
\(591\) | −348.092 | − | 918.612i | −0.588987 | − | 1.55434i | ||||
\(592\) | −180.432 | − | 60.7947i | −0.304784 | − | 0.102694i | ||||
\(593\) | −39.4231 | + | 65.5217i | −0.0664807 | + | 0.110492i | −0.888315 | − | 0.459235i | \(-0.848124\pi\) |
0.821834 | + | 0.569727i | \(0.192951\pi\) | |||||||
\(594\) | −493.926 | + | 230.516i | −0.831525 | + | 0.388074i | ||||
\(595\) | −64.3668 | + | 161.548i | −0.108179 | + | 0.271510i | ||||
\(596\) | 230.902 | − | 196.130i | 0.387420 | − | 0.329078i | ||||
\(597\) | 86.2141 | − | 87.9802i | 0.144412 | − | 0.147371i | ||||
\(598\) | 390.097 | + | 575.351i | 0.652337 | + | 0.962125i | ||||
\(599\) | −431.928 | + | 228.994i | −0.721082 | + | 0.382293i | −0.788173 | − | 0.615454i | \(-0.788973\pi\) |
0.0670916 | + | 0.997747i | \(0.478628\pi\) | |||||||
\(600\) | −168.474 | − | 59.9629i | −0.280791 | − | 0.0999382i | ||||
\(601\) | −252.082 | + | 907.918i | −0.419438 | + | 1.51068i | 0.388520 | + | 0.921440i | \(0.372986\pi\) |
−0.807959 | + | 0.589239i | \(0.799428\pi\) | |||||||
\(602\) | 686.083 | − | 273.360i | 1.13967 | − | 0.454087i | ||||
\(603\) | 136.003 | + | 563.221i | 0.225545 | + | 0.934032i | ||||
\(604\) | −397.710 | + | 43.2536i | −0.658461 | + | 0.0716119i | ||||
\(605\) | −99.2400 | − | 130.548i | −0.164033 | − | 0.215782i | ||||
\(606\) | −233.272 | − | 317.904i | −0.384937 | − | 0.524593i | ||||
\(607\) | 829.558 | + | 383.795i | 1.36665 | + | 0.632281i | 0.959663 | − | 0.281152i | \(-0.0907164\pi\) |
0.406990 | + | 0.913433i | \(0.366579\pi\) | |||||||
\(608\) | 137.079 | − | 22.4730i | 0.225460 | − | 0.0369622i | ||||
\(609\) | −406.131 | − | 621.411i | −0.666882 | − | 1.02038i | ||||
\(610\) | 23.6000 | − | 14.1997i | 0.0386886 | − | 0.0232781i | ||||
\(611\) | −54.7262 | + | 503.199i | −0.0895683 | + | 0.823567i | ||||
\(612\) | 139.334 | − | 18.0188i | 0.227669 | − | 0.0294425i | ||||
\(613\) | 3.28892 | − | 20.0615i | 0.00536528 | − | 0.0327268i | −0.984008 | − | 0.178123i | \(-0.942997\pi\) |
0.989373 | + | 0.145396i | \(0.0464457\pi\) | |||||||
\(614\) | −390.045 | + | 21.1476i | −0.635252 | + | 0.0344424i | ||||
\(615\) | 234.288 | + | 97.9804i | 0.380955 | + | 0.159318i | ||||
\(616\) | −329.643 | + | 312.254i | −0.535134 | + | 0.506906i | ||||
\(617\) | −452.590 | − | 24.5387i | −0.733533 | − | 0.0397710i | −0.316412 | − | 0.948622i | \(-0.602478\pi\) |
−0.417121 | + | 0.908851i | \(0.636961\pi\) | |||||||
\(618\) | −26.5653 | − | 181.223i | −0.0429859 | − | 0.293242i | ||||
\(619\) | −752.199 | + | 253.445i | −1.21518 | + | 0.409443i | −0.852628 | − | 0.522519i | \(-0.824992\pi\) |
−0.362556 | + | 0.931962i | \(0.618096\pi\) | |||||||
\(620\) | 50.0030 | + | 148.404i | 0.0806500 | + | 0.239361i | ||||
\(621\) | −830.844 | − | 700.972i | −1.33791 | − | 1.12878i | ||||
\(622\) | −34.1382 | + | 629.642i | −0.0548846 | + | 1.01229i | ||||
\(623\) | 645.672 | + | 681.628i | 1.03639 | + | 1.09411i | ||||
\(624\) | −135.160 | − | 56.5248i | −0.216603 | − | 0.0905846i | ||||
\(625\) | 18.7336 | + | 345.522i | 0.0299738 | + | 0.552835i | ||||
\(626\) | 135.045 | + | 22.1395i | 0.215727 | + | 0.0353666i | ||||
\(627\) | −1023.04 | − | 243.432i | −1.63164 | − | 0.388248i | ||||
\(628\) | 176.210 | + | 19.1640i | 0.280590 | + | 0.0305160i | ||||
\(629\) | −191.542 | − | 318.345i | −0.304518 | − | 0.506113i | ||||
\(630\) | −167.001 | + | 229.187i | −0.265081 | + | 0.363788i | ||||
\(631\) | −27.7688 | − | 169.382i | −0.0440076 | − | 0.268435i | 0.955653 | − | 0.294496i | \(-0.0951518\pi\) |
−0.999660 | + | 0.0260613i | \(0.991703\pi\) | |||||||
\(632\) | −23.1809 | + | 50.1048i | −0.0366787 | + | 0.0792797i | ||||
\(633\) | 625.035 | + | 851.799i | 0.987417 | + | 1.34565i | ||||
\(634\) | −95.9481 | + | 72.9378i | −0.151338 | + | 0.115044i | ||||
\(635\) | −14.9592 | − | 137.548i | −0.0235579 | − | 0.216611i | ||||
\(636\) | −160.383 | − | 20.1978i | −0.252175 | − | 0.0317575i | ||||
\(637\) | 350.074 | + | 878.618i | 0.549566 | + | 1.37931i | ||||
\(638\) | −428.018 | − | 118.839i | −0.670874 | − | 0.186267i | ||||
\(639\) | 120.983 | − | 2.45350i | 0.189331 | − | 0.00383959i | ||||
\(640\) | −10.4991 | − | 19.8033i | −0.0164048 | − | 0.0309427i | ||||
\(641\) | −999.730 | + | 677.834i | −1.55964 | + | 1.05746i | −0.591742 | + | 0.806128i | \(0.701559\pi\) |
−0.967900 | + | 0.251336i | \(0.919130\pi\) | |||||||
\(642\) | −84.9506 | + | 86.6909i | −0.132322 | + | 0.135032i | ||||
\(643\) | 172.058 | + | 202.562i | 0.267586 | + | 0.315027i | 0.879501 | − | 0.475897i | \(-0.157876\pi\) |
−0.611915 | + | 0.790924i | \(0.709601\pi\) | |||||||
\(644\) | −841.220 | − | 335.173i | −1.30624 | − | 0.520455i | ||||
\(645\) | 78.3328 | − | 264.649i | 0.121446 | − | 0.410309i | ||||
\(646\) | 232.255 | + | 139.743i | 0.359528 | + | 0.216321i | ||||
\(647\) | 142.671 | − | 423.431i | 0.220511 | − | 0.654453i | −0.779109 | − | 0.626888i | \(-0.784328\pi\) |
0.999620 | − | 0.0275648i | \(-0.00877525\pi\) | |||||||
\(648\) | 227.401 | + | 27.8681i | 0.350928 | + | 0.0430063i | ||||
\(649\) | −21.5033 | − | 841.944i | −0.0331330 | − | 1.29729i | ||||
\(650\) | 363.873i | 0.559804i | ||||||||
\(651\) | −1332.47 | + | 49.6189i | −2.04680 | + | 0.0762195i | ||||
\(652\) | 163.790 | + | 98.5490i | 0.251211 | + | 0.151149i | ||||
\(653\) | 296.583 | − | 390.149i | 0.454186 | − | 0.597472i | −0.510824 | − | 0.859685i | \(-0.670660\pi\) |
0.965010 | + | 0.262214i | \(0.0844526\pi\) | |||||||
\(654\) | 794.815 | + | 13.4688i | 1.21531 | + | 0.0205945i | ||||
\(655\) | −223.942 | − | 263.644i | −0.341896 | − | 0.402511i | ||||
\(656\) | −71.7631 | − | 155.113i | −0.109395 | − | 0.236453i | ||||
\(657\) | 1020.09 | + | 261.070i | 1.55265 | + | 0.397367i | ||||
\(658\) | −308.857 | − | 582.566i | −0.469388 | − | 0.885359i | ||||
\(659\) | 977.773 | + | 830.528i | 1.48372 | + | 1.26028i | 0.890284 | + | 0.455405i | \(0.150505\pi\) |
0.593438 | + | 0.804880i | \(0.297770\pi\) | |||||||
\(660\) | 15.4854 | + | 168.977i | 0.0234627 | + | 0.256026i | ||||
\(661\) | 433.041 | + | 1086.85i | 0.655130 | + | 1.64425i | 0.760123 | + | 0.649779i | \(0.225139\pi\) |
−0.104993 | + | 0.994473i | \(0.533482\pi\) | |||||||
\(662\) | 59.5482 | + | 31.5704i | 0.0899519 | + | 0.0476895i | ||||
\(663\) | −129.607 | − | 254.805i | −0.195485 | − | 0.384322i | ||||
\(664\) | 268.498 | − | 204.107i | 0.404365 | − | 0.307390i | ||||
\(665\) | −527.162 | + | 146.366i | −0.792724 | + | 0.220099i | ||||
\(666\) | −173.884 | − | 580.357i | −0.261087 | − | 0.871406i | ||||
\(667\) | −143.322 | − | 874.226i | −0.214876 | − | 1.31068i | ||||
\(668\) | 6.34240 | + | 28.8138i | 0.00949461 | + | 0.0431345i | ||||
\(669\) | −426.856 | + | 542.200i | −0.638051 | + | 0.810463i | ||||
\(670\) | 179.319 | + | 19.5021i | 0.267640 | + | 0.0291076i | ||||
\(671\) | 116.147 | + | 78.7496i | 0.173095 | + | 0.117362i | ||||
\(672\) | 187.055 | − | 37.8628i | 0.278355 | − | 0.0563435i | ||||
\(673\) | −2.09515 | − | 38.6429i | −0.00311316 | − | 0.0574188i | 0.996564 | − | 0.0828259i | \(-0.0263945\pi\) |
−0.999677 | + | 0.0254071i | \(0.991912\pi\) | |||||||
\(674\) | 603.665 | − | 637.281i | 0.895645 | − | 0.945521i | ||||
\(675\) | −154.057 | − | 547.773i | −0.228232 | − | 0.811516i | ||||
\(676\) | 2.16003 | − | 39.8394i | 0.00319531 | − | 0.0589341i | ||||
\(677\) | −78.1169 | + | 354.888i | −0.115387 | + | 0.524207i | 0.883098 | + | 0.469188i | \(0.155453\pi\) |
−0.998485 | + | 0.0550198i | \(0.982478\pi\) | |||||||
\(678\) | −382.689 | + | 314.053i | −0.564438 | + | 0.463206i | ||||
\(679\) | −741.742 | + | 249.922i | −1.09240 | + | 0.368073i | ||||
\(680\) | 9.40220 | − | 42.7146i | 0.0138268 | − | 0.0628157i | ||||
\(681\) | 486.632 | − | 154.835i | 0.714584 | − | 0.227364i | ||||
\(682\) | −579.250 | + | 548.694i | −0.849340 | + | 0.804537i | ||||
\(683\) | 68.2018 | − | 71.9998i | 0.0998562 | − | 0.105417i | −0.674151 | − | 0.738593i | \(-0.735491\pi\) |
0.774008 | + | 0.633176i | \(0.218249\pi\) | |||||||
\(684\) | 310.412 | + | 314.666i | 0.453818 | + | 0.460038i | ||||
\(685\) | −46.6816 | + | 284.745i | −0.0681484 | + | 0.415687i | ||||
\(686\) | −374.754 | − | 254.090i | −0.546289 | − | 0.370393i | ||||
\(687\) | −1011.70 | + | 262.518i | −1.47263 | + | 0.382122i | ||||
\(688\) | −159.160 | + | 95.7632i | −0.231337 | + | 0.139191i | ||||
\(689\) | 70.7084 | + | 321.231i | 0.102625 | + | 0.466228i | ||||
\(690\) | −292.881 | + | 169.529i | −0.424466 | + | 0.245695i | ||||
\(691\) | 138.078 | + | 63.8819i | 0.199824 | + | 0.0924485i | 0.517249 | − | 0.855835i | \(-0.326956\pi\) |
−0.317425 | + | 0.948283i | \(0.602818\pi\) | |||||||
\(692\) | 606.407 | − | 168.368i | 0.876311 | − | 0.243307i | ||||
\(693\) | −1417.03 | − | 281.916i | −2.04477 | − | 0.406805i | ||||
\(694\) | 633.947 | − | 68.9459i | 0.913468 | − | 0.0993457i | ||||
\(695\) | 256.980 | + | 136.242i | 0.369756 | + | 0.196032i | ||||
\(696\) | 126.085 | + | 137.706i | 0.181156 | + | 0.197854i | ||||
\(697\) | 89.2199 | − | 321.341i | 0.128006 | − | 0.461034i | ||||
\(698\) | 89.2705 | + | 75.8271i | 0.127895 | + | 0.108635i | ||||
\(699\) | −669.852 | + | 762.056i | −0.958300 | + | 1.09021i | ||||
\(700\) | −266.009 | − | 392.334i | −0.380013 | − | 0.560478i | ||||
\(701\) | −357.685 | − | 773.124i | −0.510250 | − | 1.10289i | −0.975960 | − | 0.217950i | \(-0.930063\pi\) |
0.465710 | − | 0.884938i | \(-0.345799\pi\) | |||||||
\(702\) | −101.730 | − | 454.937i | −0.144914 | − | 0.648058i | ||||
\(703\) | 432.639 | − | 1085.84i | 0.615418 | − | 1.54458i | ||||
\(704\) | 69.1103 | − | 90.9131i | 0.0981681 | − | 0.129138i | ||||
\(705\) | −242.459 | − | 43.9800i | −0.343913 | − | 0.0623830i | ||||
\(706\) | 491.740 | + | 165.687i | 0.696516 | + | 0.234684i | ||||
\(707\) | − | 1045.18i | − | 1.47833i | ||||||
\(708\) | −179.894 | + | 304.884i | −0.254087 | + | 0.430627i | ||||
\(709\) | 252.288 | 0.355837 | 0.177919 | − | 0.984045i | \(-0.443064\pi\) | ||||
0.177919 | + | 0.984045i | \(0.443064\pi\) | |||||||
\(710\) | 12.0284 | − | 35.6989i | 0.0169414 | − | 0.0502802i | ||||
\(711\) | −172.743 | + | 31.9290i | −0.242957 | + | 0.0449072i | ||||
\(712\) | −187.988 | − | 142.905i | −0.264028 | − | 0.200709i | ||||
\(713\) | −1478.20 | − | 588.967i | −2.07321 | − | 0.826041i | ||||
\(714\) | 326.020 | + | 179.986i | 0.456610 | + | 0.252082i | ||||
\(715\) | 313.360 | − | 144.976i | 0.438266 | − | 0.202763i | ||||
\(716\) | −498.453 | + | 337.959i | −0.696163 | + | 0.472010i | ||||
\(717\) | 559.940 | − | 637.016i | 0.780949 | − | 0.888446i | ||||
\(718\) | 41.4609 | − | 48.8116i | 0.0577450 | − | 0.0679827i | ||||
\(719\) | 762.980 | + | 211.840i | 1.06117 | + | 0.294632i | 0.753899 | − | 0.656991i | \(-0.228171\pi\) |
0.307269 | + | 0.951623i | \(0.400585\pi\) | |||||||
\(720\) | 32.1233 | − | 63.6782i | 0.0446157 | − | 0.0884420i | ||||
\(721\) | 227.411 | − | 428.943i | 0.315411 | − | 0.594928i | ||||
\(722\) | 37.0018 | + | 340.226i | 0.0512490 | + | 0.471227i | ||||
\(723\) | −431.588 | + | 690.543i | −0.596941 | + | 0.955108i | ||||
\(724\) | −14.0956 | − | 50.7679i | −0.0194691 | − | 0.0701215i | ||||
\(725\) | 194.716 | − | 420.872i | 0.268574 | − | 0.580513i | ||||
\(726\) | −303.930 | + | 175.924i | −0.418636 | + | 0.242320i | ||||
\(727\) | 658.586 | − | 144.966i | 0.905895 | − | 0.199403i | 0.262496 | − | 0.964933i | \(-0.415454\pi\) |
0.643399 | + | 0.765531i | \(0.277523\pi\) | |||||||
\(728\) | −200.207 | − | 332.746i | −0.275009 | − | 0.457069i | ||||
\(729\) | 345.755 | + | 641.790i | 0.474287 | + | 0.880370i | ||||
\(730\) | 183.957 | − | 271.317i | 0.251996 | − | 0.371667i | ||||
\(731\) | −357.677 | − | 58.6381i | −0.489298 | − | 0.0802163i | ||||
\(732\) | −23.8554 | − | 53.9426i | −0.0325893 | − | 0.0736920i | ||||
\(733\) | 910.647 | + | 862.611i | 1.24236 | + | 1.17682i | 0.977131 | + | 0.212636i | \(0.0682049\pi\) |
0.265225 | + | 0.964187i | \(0.414554\pi\) | |||||||
\(734\) | −33.2832 | − | 35.1366i | −0.0453449 | − | 0.0478701i | ||||
\(735\) | −438.763 | + | 139.604i | −0.596956 | + | 0.189938i | ||||
\(736\) | 222.425 | + | 48.9595i | 0.302208 | + | 0.0665210i | ||||
\(737\) | 293.438 | + | 870.894i | 0.398152 | + | 1.18167i | ||||
\(738\) | 270.869 | − | 471.575i | 0.367031 | − | 0.638990i | ||||
\(739\) | −1063.68 | − | 234.134i | −1.43935 | − | 0.316825i | −0.574356 | − | 0.818605i | \(-0.694748\pi\) |
−0.864995 | + | 0.501780i | \(0.832679\pi\) | |||||||
\(740\) | −188.329 | − | 10.2109i | −0.254499 | − | 0.0137985i | ||||
\(741\) | 391.418 | − | 809.744i | 0.528229 | − | 1.09277i | ||||
\(742\) | −311.075 | − | 294.666i | −0.419239 | − | 0.397124i | ||||
\(743\) | −435.521 | + | 23.6133i | −0.586166 | + | 0.0317810i | −0.344837 | − | 0.938663i | \(-0.612066\pi\) |
−0.241328 | + | 0.970444i | \(0.577583\pi\) | |||||||
\(744\) | 328.693 | − | 66.5327i | 0.441792 | − | 0.0894257i | ||||
\(745\) | 168.415 | − | 248.393i | 0.226060 | − | 0.333413i | ||||
\(746\) | −81.5301 | + | 749.657i | −0.109290 | + | 1.00490i | ||||
\(747\) | 1023.75 | + | 321.979i | 1.37048 | + | 0.431029i | ||||
\(748\) | 217.627 | − | 47.9034i | 0.290946 | − | 0.0640420i | ||||
\(749\) | −317.487 | + | 52.0494i | −0.423881 | + | 0.0694918i | ||||
\(750\) | −386.299 | − | 27.5159i | −0.515065 | − | 0.0366879i | ||||
\(751\) | 92.9614 | + | 334.817i | 0.123783 | + | 0.445828i | 0.999302 | − | 0.0373568i | \(-0.0118938\pi\) |
−0.875519 | + | 0.483185i | \(0.839480\pi\) | |||||||
\(752\) | 100.361 | + | 132.023i | 0.133459 | + | 0.175563i | ||||
\(753\) | −158.914 | − | 312.423i | −0.211042 | − | 0.414905i | ||||
\(754\) | 177.954 | − | 335.656i | 0.236013 | − | 0.445167i | ||||
\(755\) | −368.143 | + | 146.681i | −0.487606 | + | 0.194280i | ||||
\(756\) | 442.269 | + | 416.151i | 0.585012 | + | 0.550465i | ||||
\(757\) | 714.943 | − | 841.696i | 0.944443 | − | 1.11188i | −0.0491419 | − | 0.998792i | \(-0.515649\pi\) |
0.993585 | − | 0.113092i | \(-0.0360755\pi\) | |||||||
\(758\) | −240.092 | + | 127.289i | −0.316744 | + | 0.167927i | ||||
\(759\) | −1410.47 | − | 991.615i | −1.85832 | − | 1.30648i | ||||
\(760\) | 124.884 | − | 57.7773i | 0.164320 | − | 0.0760228i | ||||
\(761\) | 872.374 | − | 741.001i | 1.14635 | − | 0.973720i | 0.146472 | − | 0.989215i | \(-0.453208\pi\) |
0.999880 | + | 0.0154950i | \(0.00493240\pi\) | |||||||
\(762\) | −296.251 | − | 5.02022i | −0.388781 | − | 0.00658822i | ||||
\(763\) | 1677.44 | + | 1275.16i | 2.19848 | + | 1.67124i | ||||
\(764\) | 14.5165 | − | 24.1266i | 0.0190006 | − | 0.0315793i | ||||
\(765\) | 128.216 | − | 54.1232i | 0.167602 | − | 0.0707493i | ||||
\(766\) | 255.804 | 0.333948 | ||||||||
\(767\) | 707.194 | + | 136.834i | 0.922026 | + | 0.178402i | ||||
\(768\) | −44.8855 | + | 17.0086i | −0.0584447 | + | 0.0221466i | ||||
\(769\) | 408.911 | + | 137.778i | 0.531744 | + | 0.179165i | 0.572349 | − | 0.820010i | \(-0.306032\pi\) |
−0.0406054 | + | 0.999175i | \(0.512929\pi\) | |||||||
\(770\) | −231.886 | + | 385.398i | −0.301151 | + | 0.500516i | ||||
\(771\) | −295.881 | + | 999.641i | −0.383762 | + | 1.29655i | ||||
\(772\) | 134.714 | − | 338.107i | 0.174500 | − | 0.437963i | ||||
\(773\) | −196.904 | + | 167.252i | −0.254728 | + | 0.216368i | −0.765647 | − | 0.643261i | \(-0.777581\pi\) |
0.510919 | + | 0.859629i | \(0.329305\pi\) | |||||||
\(774\) | −541.342 | − | 237.247i | −0.699408 | − | 0.306521i | ||||
\(775\) | −467.433 | − | 689.411i | −0.603139 | − | 0.889563i | ||||
\(776\) | 173.928 | − | 92.2106i | 0.224134 | − | 0.118828i | ||||
\(777\) | 538.477 | − | 1512.93i | 0.693021 | − | 1.94714i | ||||
\(778\) | 52.1344 | − | 187.771i | 0.0670108 | − | 0.241351i | ||||
\(779\) | 974.694 | − | 388.353i | 1.25121 | − | 0.498528i | ||||
\(780\) | −143.987 | − | 18.1329i | −0.184599 | − | 0.0232473i | ||||
\(781\) | 190.805 | − | 20.7513i | 0.244308 | − | 0.0265701i | ||||
\(782\) | 268.945 | + | 353.791i | 0.343919 | + | 0.452418i | ||||
\(783\) | −125.781 | + | 580.638i | −0.160639 | + | 0.741556i | ||||
\(784\) | 281.236 | + | 130.114i | 0.358719 | + | 0.165961i | ||||
\(785\) | 173.267 | − | 28.4057i | 0.220723 | − | 0.0361856i | ||||
\(786\) | −620.087 | + | 405.265i | −0.788915 | + | 0.515605i | ||||
\(787\) | 374.094 | − | 225.085i | 0.475341 | − | 0.286003i | −0.257654 | − | 0.966237i | \(-0.582949\pi\) |
0.732995 | + | 0.680234i | \(0.238122\pi\) | |||||||
\(788\) | −70.8073 | + | 651.062i | −0.0898570 | + | 0.826221i | ||||
\(789\) | −107.335 | − | 25.5403i | −0.136039 | − | 0.0323705i | ||||
\(790\) | −8.84744 | + | 53.9670i | −0.0111993 | + | 0.0683127i | ||||
\(791\) | −1310.31 | + | 71.0427i | −1.65652 | + | 0.0898138i | ||||
\(792\) | 363.171 | + | 12.3120i | 0.458549 | + | 0.0155454i | ||||
\(793\) | −87.1304 | + | 82.5343i | −0.109874 | + | 0.104079i | ||||
\(794\) | −187.692 | − | 10.1764i | −0.236388 | − | 0.0128166i | ||||
\(795\) | −158.435 | + | 23.2247i | −0.199289 | + | 0.0292135i | ||||
\(796\) | −77.8215 | + | 26.2211i | −0.0977657 | + | 0.0329411i | ||||
\(797\) | 22.8418 | + | 67.7921i | 0.0286597 | + | 0.0850591i | 0.961028 | − | 0.276450i | \(-0.0891581\pi\) |
−0.932368 | + | 0.361509i | \(0.882262\pi\) | |||||||
\(798\) | 169.929 | + | 1159.23i | 0.212944 | + | 1.45266i | ||||
\(799\) | −17.5194 | + | 323.127i | −0.0219267 | + | 0.404414i | ||||
\(800\) | 81.9862 | + | 86.5518i | 0.102483 | + | 0.108190i | ||||
\(801\) | 25.4584 | − | 750.956i | 0.0317833 | − | 0.937523i | ||||
\(802\) | 16.6178 | + | 306.498i | 0.0207205 | + | 0.382167i | ||||
\(803\) | 1648.11 | + | 270.195i | 2.05245 | + | 0.336481i | ||||
\(804\) | 89.4171 | − | 375.781i | 0.111215 | − | 0.467389i | ||||
\(805\) | −891.749 | − | 96.9835i | −1.10776 | − | 0.120476i | ||||
\(806\) | −351.804 | − | 584.703i | −0.436481 | − | 0.725437i | ||||
\(807\) | 66.7770 | + | 102.174i | 0.0827472 | + | 0.126610i | ||||
\(808\) | 42.5279 | + | 259.409i | 0.0526335 | + | 0.321050i | ||||
\(809\) | 466.177 | − | 1007.63i | 0.576239 | − | 1.24552i | −0.372079 | − | 0.928201i | \(-0.621355\pi\) |
0.948319 | − | 0.317320i | \(-0.102783\pi\) | |||||||
\(810\) | 224.435 | − | 33.6640i | 0.277080 | − | 0.0415605i | ||||
\(811\) | −501.913 | + | 381.545i | −0.618882 | + | 0.470462i | −0.867027 | − | 0.498261i | \(-0.833972\pi\) |
0.248145 | + | 0.968723i | \(0.420179\pi\) | |||||||
\(812\) | 53.5086 | + | 492.004i | 0.0658973 | + | 0.605916i | ||||
\(813\) | 139.911 | − | 1110.98i | 0.172092 | − | 1.36652i | ||||
\(814\) | −355.677 | − | 892.683i | −0.436950 | − | 1.09666i | ||||
\(815\) | 182.450 | + | 50.6569i | 0.223865 | + | 0.0621557i | ||||
\(816\) | −88.2402 | − | 31.4062i | −0.108138 | − | 0.0384880i | ||||
\(817\) | −534.129 | − | 1007.47i | −0.653769 | − | 1.23314i | ||||
\(818\) | 17.9792 | − | 12.1902i | 0.0219795 | − | 0.0149024i | ||||
\(819\) | 495.999 | − | 1131.75i | 0.605615 | − | 1.38187i | ||||
\(820\) | −109.603 | − | 129.034i | −0.133662 | − | 0.157359i | ||||
\(821\) | −220.011 | − | 87.6604i | −0.267979 | − | 0.106773i | 0.232278 | − | 0.972649i | \(-0.425382\pi\) |
−0.500257 | + | 0.865877i | \(0.666761\pi\) | |||||||
\(822\) | 592.509 | + | 175.375i | 0.720814 | + | 0.213352i | ||||
\(823\) | 549.772 | + | 330.787i | 0.668010 | + | 0.401928i | 0.808778 | − | 0.588114i | \(-0.200130\pi\) |
−0.140768 | + | 0.990043i | \(0.544957\pi\) | |||||||
\(824\) | −38.9889 | + | 115.715i | −0.0473166 | + | 0.140431i | ||||
\(825\) | −319.807 | − | 843.968i | −0.387644 | − | 1.02299i | ||||
\(826\) | −862.542 | + | 369.457i | −1.04424 | + | 0.447285i | ||||
\(827\) | − | 1434.07i | − | 1.73406i | −0.498254 | − | 0.867031i | \(-0.666025\pi\) | ||
0.498254 | − | 0.867031i | \(-0.333975\pi\) | |||||||
\(828\) | 281.832 | + | 667.648i | 0.340377 | + | 0.806338i | ||||
\(829\) | 291.786 | + | 175.562i | 0.351973 | + | 0.211775i | 0.680549 | − | 0.732702i | \(-0.261741\pi\) |
−0.328576 | + | 0.944477i | \(0.606569\pi\) | |||||||
\(830\) | 202.185 | − | 265.970i | 0.243596 | − | 0.320445i | ||||
\(831\) | −22.2064 | + | 1310.44i | −0.0267225 | + | 1.57694i | ||||
\(832\) | 63.2297 | + | 74.4397i | 0.0759972 | + | 0.0894708i | ||||
\(833\) | 253.891 | + | 548.777i | 0.304791 | + | 0.658796i | ||||
\(834\) | 358.236 | − | 509.552i | 0.429539 | − | 0.610974i | ||||
\(835\) | 13.6896 | + | 25.8213i | 0.0163947 | + | 0.0309237i | ||||
\(836\) | 534.326 | + | 453.861i | 0.639146 | + | 0.542896i | ||||
\(837\) | 777.156 | + | 731.263i | 0.928502 | + | 0.873671i | ||||
\(838\) | −271.387 | − | 681.129i | −0.323850 | − | 0.812803i | ||||
\(839\) | −843.226 | − | 447.050i | −1.00504 | − | 0.532837i | −0.117255 | − | 0.993102i | \(-0.537410\pi\) |
−0.887781 | + | 0.460265i | \(0.847754\pi\) | |||||||
\(840\) | 168.505 | − | 85.7104i | 0.200602 | − | 0.102036i | ||||
\(841\) | 284.068 | − | 215.943i | 0.337775 | − | 0.256770i | ||||
\(842\) | 114.038 | − | 31.6626i | 0.135438 | − | 0.0376040i | ||||
\(843\) | 62.1306 | − | 872.257i | 0.0737018 | − | 1.03471i | ||||
\(844\) | −113.950 | − | 695.066i | −0.135012 | − | 0.823538i | ||||
\(845\) | −8.49611 | − | 38.5982i | −0.0100546 | − | 0.0456784i | ||||
\(846\) | −158.320 | + | 503.386i | −0.187140 | + | 0.595019i | ||||
\(847\) | −925.389 | − | 100.642i | −1.09255 | − | 0.118822i | ||||
\(848\) | 89.1973 | + | 60.4773i | 0.105185 | + | 0.0713175i | ||||
\(849\) | −39.8664 | − | 196.953i | −0.0469569 | − | 0.231982i | ||||
\(850\) | 12.5944 | + | 232.290i | 0.0148169 | + | 0.273282i | ||||
\(851\) | 1317.91 | − | 1391.30i | 1.54866 | − | 1.63490i | ||||
\(852\) | −72.6312 | − | 35.1088i | −0.0852479 | − | 0.0412075i | ||||
\(853\) | 25.6350 | − | 472.810i | 0.0300528 | − | 0.554291i | −0.944275 | − | 0.329157i | \(-0.893235\pi\) |
0.974328 | − | 0.225134i | \(-0.0722819\pi\) | |||||||
\(854\) | 33.6089 | − | 152.687i | 0.0393547 | − | 0.178790i | ||||
\(855\) | 379.670 | + | 218.079i | 0.444059 | + | 0.255064i | ||||
\(856\) | 76.6810 | − | 25.8368i | 0.0895806 | − | 0.0301832i | ||||
\(857\) | −123.465 | + | 560.905i | −0.144066 | + | 0.654498i | 0.848128 | + | 0.529792i | \(0.177730\pi\) |
−0.992194 | + | 0.124706i | \(0.960201\pi\) | |||||||
\(858\) | −224.184 | − | 704.589i | −0.261287 | − | 0.821200i | ||||
\(859\) | 425.531 | − | 403.085i | 0.495380 | − | 0.469249i | −0.398748 | − | 0.917061i | \(-0.630555\pi\) |
0.894128 | + | 0.447812i | \(0.147797\pi\) | |||||||
\(860\) | −126.536 | + | 133.583i | −0.147135 | + | 0.155329i | ||||
\(861\) | 1318.35 | − | 583.024i | 1.53119 | − | 0.677147i | ||||
\(862\) | −16.7387 | + | 102.101i | −0.0194184 | + | 0.118447i | ||||
\(863\) | −229.019 | − | 155.279i | −0.265375 | − | 0.179929i | 0.421241 | − | 0.906949i | \(-0.361595\pi\) |
−0.686617 | + | 0.727020i | \(0.740905\pi\) | |||||||
\(864\) | −126.702 | − | 85.2911i | −0.146646 | − | 0.0987166i | ||||
\(865\) | 534.182 | − | 321.407i | 0.617552 | − | 0.371569i | ||||
\(866\) | 6.38881 | + | 29.0246i | 0.00737738 | + | 0.0335158i | ||||
\(867\) | 342.776 | + | 592.185i | 0.395359 | + | 0.683028i | ||||
\(868\) | 806.768 | + | 373.251i | 0.929457 | + | 0.430012i | ||||
\(869\) | −268.472 | + | 74.5408i | −0.308943 | + | 0.0857777i | ||||
\(870\) | 156.838 | + | 98.0237i | 0.180274 | + | 0.112671i | ||||
\(871\) | −781.371 | + | 84.9792i | −0.897096 | + | 0.0975651i | ||||
\(872\) | −468.219 | − | 248.234i | −0.536949 | − | 0.284672i | ||||
\(873\) | 559.270 | + | 282.131i | 0.640630 | + | 0.323174i | ||||
\(874\) | −374.045 | + | 1347.19i | −0.427970 | + | 1.54141i | ||||
\(875\) | −782.394 | − | 664.571i | −0.894164 | − | 0.759510i | ||||
\(876\) | −527.246 | − | 463.452i | −0.601879 | − | 0.529055i | ||||
\(877\) | −363.006 | − | 535.394i | −0.413918 | − | 0.610483i | 0.562389 | − | 0.826873i | \(-0.309882\pi\) |
−0.976307 | + | 0.216389i | \(0.930572\pi\) | |||||||
\(878\) | 231.849 | + | 501.134i | 0.264065 | + | 0.570768i | ||||
\(879\) | −666.512 | + | 1207.29i | −0.758262 | + | 1.37348i | ||||
\(880\) | 41.8714 | − | 105.089i | 0.0475811 | − | 0.119420i | ||||
\(881\) | −85.5604 | + | 112.553i | −0.0971173 | + | 0.127756i | −0.842085 | − | 0.539345i | \(-0.818672\pi\) |
0.744968 | + | 0.667101i | \(0.232465\pi\) | |||||||
\(882\) | 179.216 | + | 969.596i | 0.203193 | + | 1.09931i | ||||
\(883\) | 1073.98 | + | 361.867i | 1.21629 | + | 0.409815i | 0.853024 | − | 0.521871i | \(-0.174766\pi\) |
0.363264 | + | 0.931686i | \(0.381662\pi\) | |||||||
\(884\) | 190.582i | 0.215591i | ||||||||
\(885\) | −90.9072 | + | 338.678i | −0.102720 | + | 0.382687i | ||||
\(886\) | −374.666 | −0.422874 | ||||||||
\(887\) | −507.147 | + | 1505.16i | −0.571755 | + | 1.69691i | 0.136225 | + | 0.990678i | \(0.456503\pi\) |
−0.707981 | + | 0.706232i | \(0.750394\pi\) | |||||||
\(888\) | −72.0872 | + | 397.412i | −0.0811793 | + | 0.447536i | ||||
\(889\) | −625.234 | − | 475.290i | −0.703300 | − | 0.534635i | ||||
\(890\) | −217.301 | − | 86.5807i | −0.244159 | − | 0.0972817i | ||||
\(891\) | 635.795 | + | 965.772i | 0.713575 | + | 1.08392i | ||||
\(892\) | 417.523 | − | 193.167i | 0.468075 | − | 0.216554i | ||||
\(893\) | −842.655 | + | 571.334i | −0.943622 | + | 0.639792i | ||||
\(894\) | −482.698 | − | 424.295i | −0.539931 | − | 0.474603i | ||||
\(895\) | −386.199 | + | 454.669i | −0.431508 | + | 0.508010i | ||||
\(896\) | −122.595 | − | 34.0382i | −0.136824 | − | 0.0379891i | ||||
\(897\) | 1087.57 | − | 995.791i | 1.21246 | − | 1.11014i | ||||
\(898\) | 26.3495 | − | 49.7003i | 0.0293424 | − | 0.0553456i | ||||
\(899\) | 94.0256 | + | 864.551i | 0.104589 | + | 0.961681i | ||||
\(900\) | −74.0205 | + | 372.058i | −0.0822450 | + | 0.413398i | ||||
\(901\) | 56.2574 | + | 202.621i | 0.0624388 | + | 0.224884i | ||||
\(902\) | 362.184 | − | 782.847i | 0.401534 | − | 0.867902i | ||||
\(903\) | −784.843 | − | 1355.91i | −0.869151 | − | 1.50156i | ||||
\(904\) | 322.321 | − | 70.9482i | 0.356550 | − | 0.0784826i | ||||
\(905\) | −26.9079 | − | 44.7213i | −0.0297325 | − | 0.0494158i | ||||
\(906\) | 213.149 | + | 821.442i | 0.235264 | + | 0.906669i | ||||
\(907\) | −50.3608 | + | 74.2767i | −0.0555246 | + | 0.0818927i | −0.854438 | − | 0.519554i | \(-0.826098\pi\) |
0.798913 | + | 0.601446i | \(0.205409\pi\) | |||||||
\(908\) | −335.962 | − | 55.0782i | −0.370002 | − | 0.0606588i | ||||
\(909\) | −595.473 | + | 587.422i | −0.655086 | + | 0.646229i | ||||
\(910\) | −279.273 | − | 264.542i | −0.306894 | − | 0.290705i | ||||
\(911\) | 366.377 | + | 386.779i | 0.402170 | + | 0.424565i | 0.895351 | − | 0.445361i | \(-0.146925\pi\) |
−0.493181 | + | 0.869927i | \(0.664166\pi\) | |||||||
\(912\) | −89.3441 | − | 280.800i | −0.0979650 | − | 0.307895i | ||||
\(913\) | 1662.38 | + | 365.918i | 1.82079 | + | 0.400786i | ||||
\(914\) | −268.780 | − | 797.711i | −0.294070 | − | 0.872769i | ||||
\(915\) | −37.0646 | − | 45.1650i | −0.0405078 | − | 0.0493607i | ||||
\(916\) | 680.511 | + | 149.792i | 0.742916 | + | 0.163528i | ||||
\(917\) | −1960.67 | − | 106.305i | −2.13814 | − | 0.115926i | ||||
\(918\) | −80.6888 | − | 286.902i | −0.0878963 | − | 0.312529i | ||||
\(919\) | −366.306 | − | 346.983i | −0.398592 | − | 0.377566i | 0.461984 | − | 0.886888i | \(-0.347138\pi\) |
−0.860576 | + | 0.509322i | \(0.829896\pi\) | |||||||
\(920\) | 225.274 | − | 12.2140i | 0.244863 | − | 0.0132761i | ||||
\(921\) | 164.393 | + | 812.155i | 0.178494 | + | 0.881818i | ||||
\(922\) | −124.261 | + | 183.272i | −0.134774 | + | 0.198776i | ||||
\(923\) | −17.7476 | + | 163.186i | −0.0192282 | + | 0.176800i | ||||
\(924\) | 756.810 | + | 595.812i | 0.819058 | + | 0.644818i | ||||
\(925\) | 979.710 | − | 215.651i | 1.05915 | − | 0.233136i | ||||
\(926\) | 330.255 | − | 54.1426i | 0.356647 | − | 0.0584693i | ||||
\(927\) | −372.195 | + | 111.515i | −0.401504 | + | 0.120297i | ||||
\(928\) | −33.3000 | − | 119.936i | −0.0358836 | − | 0.129241i | ||||
\(929\) | 506.058 | + | 665.708i | 0.544734 | + | 0.716585i | 0.983275 | − | 0.182126i | \(-0.0582978\pi\) |
−0.438541 | + | 0.898711i | \(0.644505\pi\) | |||||||
\(930\) | 296.098 | − | 150.611i | 0.318385 | − | 0.161947i | ||||
\(931\) | −891.065 | + | 1680.73i | −0.957105 | + | 1.80529i | ||||
\(932\) | 628.365 | − | 250.364i | 0.674212 | − | 0.268631i | ||||
\(933\) | 1332.05 | − | 122.072i | 1.42771 | − | 0.130838i | ||||
\(934\) | 393.923 | − | 463.762i | 0.421760 | − | 0.496534i | ||||
\(935\) | 195.025 | − | 103.396i | 0.208583 | − | 0.110584i | ||||
\(936\) | −77.0541 | + | 301.078i | −0.0823228 | + | 0.321664i | ||||
\(937\) | −369.734 | + | 171.057i | −0.394593 | + | 0.182558i | −0.607144 | − | 0.794592i | \(-0.707685\pi\) |
0.212551 | + | 0.977150i | \(0.431823\pi\) | |||||||
\(938\) | 780.364 | − | 662.847i | 0.831945 | − | 0.706660i | ||||
\(939\) | 4.91863 | − | 290.256i | 0.00523816 | − | 0.309112i | ||||
\(940\) | 130.780 | + | 99.4162i | 0.139127 | + | 0.105762i | ||||
\(941\) | 396.380 | − | 658.788i | 0.421233 | − | 0.700094i | −0.571478 | − | 0.820617i | \(-0.693630\pi\) |
0.992710 | + | 0.120523i | \(0.0384573\pi\) | |||||||
\(942\) | −13.9920 | − | 375.742i | −0.0148535 | − | 0.398877i | ||||
\(943\) | 1720.24 | 1.82422 | ||||||||
\(944\) | 199.046 | − | 126.794i | 0.210854 | − | 0.134316i | ||||
\(945\) | 532.419 | + | 280.001i | 0.563406 | + | 0.296298i | ||||
\(946\) | −888.386 | − | 299.332i | −0.939098 | − | 0.316419i | ||||
\(947\) | −839.279 | + | 1394.89i | −0.886250 | + | 1.47296i | −0.00517274 | + | 0.999987i | \(0.501647\pi\) |
−0.881077 | + | 0.472972i | \(0.843181\pi\) | |||||||
\(948\) | 112.297 | + | 33.2383i | 0.118456 | + | 0.0350615i | ||||
\(949\) | −528.695 | + | 1326.92i | −0.557107 | + | 1.39823i | ||||
\(950\) | −557.810 | + | 473.808i | −0.587168 | + | 0.498745i | ||||
\(951\) | 182.609 | + | 178.943i | 0.192018 | + | 0.188163i | ||||
\(952\) | −139.325 | − | 205.489i | −0.146350 | − | 0.215850i | ||||
\(953\) | −1455.42 | + | 771.617i | −1.52720 | + | 0.809671i | −0.999216 | − | 0.0395823i | \(-0.987397\pi\) |
−0.527985 | + | 0.849253i | \(0.677052\pi\) | |||||||
\(954\) | 6.95273 | + | 342.841i | 0.00728798 | + | 0.359372i | ||||
\(955\) | 7.46187 | − | 26.8752i | 0.00781348 | − | 0.0281416i | ||||
\(956\) | −525.261 | + | 209.283i | −0.549436 | + | 0.218915i | ||||
\(957\) | −117.739 | + | 934.925i | −0.123030 | + | 0.976933i | ||||
\(958\) | −418.552 | + | 45.5203i | −0.436902 | + | 0.0475160i | ||||
\(959\) | 991.214 | + | 1303.92i | 1.03359 | + | 1.35967i | ||||
\(960\) | −38.3347 | + | 28.1293i | −0.0399320 | + | 0.0293014i | ||||
\(961\) | 545.476 | + | 252.364i | 0.567613 | + | 0.262606i | ||||
\(962\) | 811.013 | − | 132.959i | 0.843049 | − | 0.138211i | ||||
\(963\) | 208.092 | + | 151.629i | 0.216087 | + | 0.157455i | ||||
\(964\) | 465.171 | − | 279.884i | 0.482543 | − | 0.290336i | ||||
\(965\) | 38.9801 | − | 358.416i | 0.0403939 | − | 0.371415i | ||||
\(966\) | −444.670 | + | 1868.75i | −0.460321 | + | 1.93453i | ||||
\(967\) | 259.364 | − | 1582.05i | 0.268215 | − | 1.63604i | −0.417861 | − | 0.908511i | \(-0.637220\pi\) |
0.686076 | − | 0.727530i | \(-0.259332\pi\) | |||||||
\(968\) | 233.772 | − | 12.6748i | 0.241500 | − | 0.0130938i | ||||
\(969\) | 221.847 | − | 530.473i | 0.228944 | − | 0.547444i | ||||
\(970\) | 141.573 | − | 134.105i | 0.145952 | − | 0.138253i | ||||
\(971\) | 723.636 | + | 39.2344i | 0.745248 | + | 0.0404062i | 0.422852 | − | 0.906199i | \(-0.361029\pi\) |
0.322396 | + | 0.946605i | \(0.395512\pi\) | |||||||
\(972\) | −11.4733 | − | 485.865i | −0.0118038 | − | 0.499861i | ||||
\(973\) | 1564.62 | − | 527.180i | 1.60803 | − | 0.541809i | ||||
\(974\) | 195.886 | + | 581.370i | 0.201115 | + | 0.596889i | ||||
\(975\) | 763.729 | − | 111.954i | 0.783312 | − | 0.114825i | ||||
\(976\) | −2.12881 | + | 39.2637i | −0.00218116 | + | 0.0402292i | ||||
\(977\) | −470.498 | − | 496.699i | −0.481574 | − | 0.508392i | 0.439253 | − | 0.898364i | \(-0.355243\pi\) |
−0.920827 | + | 0.389972i | \(0.872485\pi\) | |||||||
\(978\) | 156.450 | − | 374.097i | 0.159969 | − | 0.382513i | ||||
\(979\) | −64.5213 | − | 1190.03i | −0.0659054 | − | 1.21555i | ||||
\(980\) | 302.914 | + | 49.6603i | 0.309096 | + | 0.0506737i | ||||
\(981\) | −216.274 | − | 1672.37i | −0.220463 | − | 1.70476i | ||||
\(982\) | −110.222 | − | 11.9873i | −0.112242 | − | 0.0122071i | ||||
\(983\) | −603.311 | − | 1002.71i | −0.613745 | − | 1.02005i | −0.995405 | − | 0.0957492i | \(-0.969475\pi\) |
0.381661 | − | 0.924302i | \(-0.375352\pi\) | |||||||
\(984\) | −303.486 | + | 198.347i | −0.308421 | + | 0.201572i | ||||
\(985\) | 104.954 | + | 640.188i | 0.106552 | + | 0.649937i | ||||
\(986\) | 101.985 | − | 220.436i | 0.103433 | − | 0.223566i | ||||
\(987\) | −1127.72 | + | 827.497i | −1.14257 | + | 0.838396i | ||||
\(988\) | −477.329 | + | 362.856i | −0.483127 | + | 0.367263i | ||||
\(989\) | −202.139 | − | 1858.64i | −0.204387 | − | 1.87931i | ||||
\(990\) | 349.901 | − | 84.4920i | 0.353435 | − | 0.0853455i | ||||
\(991\) | −232.009 | − | 582.299i | −0.234116 | − | 0.587587i | 0.764238 | − | 0.644934i | \(-0.223115\pi\) |
−0.998354 | + | 0.0573470i | \(0.981736\pi\) | |||||||
\(992\) | −215.424 | − | 59.8121i | −0.217161 | − | 0.0602944i | ||||
\(993\) | 47.9415 | − | 134.698i | 0.0482794 | − | 0.135648i | ||||
\(994\) | −100.162 | − | 188.925i | −0.100766 | − | 0.190065i | ||||
\(995\) | −67.3299 | + | 45.6508i | −0.0676683 | + | 0.0458802i | ||||
\(996\) | −511.008 | − | 500.750i | −0.513060 | − | 0.502761i | ||||
\(997\) | −803.535 | − | 945.994i | −0.805953 | − | 0.948841i | 0.193527 | − | 0.981095i | \(-0.438007\pi\) |
−0.999480 | + | 0.0322542i | \(0.989731\pi\) | |||||||
\(998\) | 170.924 | + | 68.1025i | 0.171267 | + | 0.0682389i | ||||
\(999\) | −1164.60 | + | 543.523i | −1.16577 | + | 0.544067i |
(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 | 354.3.h.a.5.20 | ✓ | 1120 | |
3.2 | odd | 2 | inner | 354.3.h.a.5.34 | yes | 1120 | |
59.12 | even | 29 | inner | 354.3.h.a.71.34 | yes | 1120 | |
177.71 | odd | 58 | inner | 354.3.h.a.71.20 | yes | 1120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.3.h.a.5.20 | ✓ | 1120 | 1.1 | even | 1 | trivial | |
354.3.h.a.5.34 | yes | 1120 | 3.2 | odd | 2 | inner | |
354.3.h.a.71.20 | yes | 1120 | 177.71 | odd | 58 | inner | |
354.3.h.a.71.34 | yes | 1120 | 59.12 | even | 29 | inner |