Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,2,Mod(5,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.g (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.550967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 53.1 | ||
Character | \(\chi\) | \(=\) | 69.53 |
Dual form | 69.2.g.a.56.1 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{19}{22}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.99001 | − | 1.72435i | −1.40715 | − | 1.21930i | −0.942676 | − | 0.333710i | \(-0.891699\pi\) |
−0.464471 | − | 0.885589i | \(-0.653755\pi\) | |||||||
\(3\) | 0.319930 | + | 1.70225i | 0.184712 | + | 0.982793i | ||||
\(4\) | 0.702110 | + | 4.88329i | 0.351055 | + | 2.44164i | ||||
\(5\) | 1.01286 | + | 2.21786i | 0.452966 | + | 0.991857i | 0.989035 | + | 0.147683i | \(0.0471814\pi\) |
−0.536069 | + | 0.844174i | \(0.680091\pi\) | |||||||
\(6\) | 2.29861 | − | 3.93915i | 0.938402 | − | 1.60815i | ||||
\(7\) | −0.333512 | − | 1.13584i | −0.126056 | − | 0.429306i | 0.872146 | − | 0.489245i | \(-0.162728\pi\) |
−0.998202 | + | 0.0599387i | \(0.980909\pi\) | |||||||
\(8\) | 4.17610 | − | 6.49815i | 1.47648 | − | 2.29744i | ||||
\(9\) | −2.79529 | + | 1.08920i | −0.931763 | + | 0.363067i | ||||
\(10\) | 1.80876 | − | 6.16008i | 0.571981 | − | 1.94799i | ||||
\(11\) | 1.91217 | + | 2.20677i | 0.576542 | + | 0.665365i | 0.966858 | − | 0.255316i | \(-0.0821795\pi\) |
−0.390316 | + | 0.920681i | \(0.627634\pi\) | |||||||
\(12\) | −8.08793 | + | 2.75747i | −2.33478 | + | 0.796014i | ||||
\(13\) | 2.12617 | + | 0.624299i | 0.589693 | + | 0.173149i | 0.562947 | − | 0.826493i | \(-0.309667\pi\) |
0.0267456 | + | 0.999642i | \(0.491486\pi\) | |||||||
\(14\) | −1.29489 | + | 2.83542i | −0.346074 | + | 0.757797i | ||||
\(15\) | −3.45130 | + | 2.43370i | −0.891122 | + | 0.628379i | ||||
\(16\) | −10.0482 | + | 2.95042i | −2.51206 | + | 0.737606i | ||||
\(17\) | 0.460586 | − | 3.20345i | 0.111709 | − | 0.776951i | −0.854549 | − | 0.519371i | \(-0.826166\pi\) |
0.966257 | − | 0.257579i | \(-0.0829248\pi\) | |||||||
\(18\) | 7.44080 | + | 2.65254i | 1.75381 | + | 0.625210i | ||||
\(19\) | −2.06620 | + | 0.297075i | −0.474019 | + | 0.0681537i | −0.375185 | − | 0.926950i | \(-0.622421\pi\) |
−0.0988349 | + | 0.995104i | \(0.531512\pi\) | |||||||
\(20\) | −10.1193 | + | 6.50328i | −2.26274 | + | 1.45418i | ||||
\(21\) | 1.82678 | − | 0.931109i | 0.398635 | − | 0.203185i | ||||
\(22\) | − | 7.68873i | − | 1.63924i | ||||||
\(23\) | −2.40092 | − | 4.15158i | −0.500626 | − | 0.865664i | ||||
\(24\) | 12.3975 | + | 5.02981i | 2.53063 | + | 1.02671i | ||||
\(25\) | −0.618706 | + | 0.714025i | −0.123741 | + | 0.142805i | ||||
\(26\) | −3.15457 | − | 4.90861i | −0.618663 | − | 0.962658i | ||||
\(27\) | −2.74838 | − | 4.40981i | −0.528927 | − | 0.848668i | ||||
\(28\) | 5.31246 | − | 2.42612i | 1.00396 | − | 0.458493i | ||||
\(29\) | 3.98592 | + | 0.573089i | 0.740167 | + | 0.106420i | 0.502077 | − | 0.864823i | \(-0.332570\pi\) |
0.238090 | + | 0.971243i | \(0.423479\pi\) | |||||||
\(30\) | 11.0647 | + | 1.10817i | 2.02012 | + | 0.202323i | ||||
\(31\) | −3.31394 | − | 2.12974i | −0.595201 | − | 0.382512i | 0.208081 | − | 0.978112i | \(-0.433278\pi\) |
−0.803282 | + | 0.595599i | \(0.796915\pi\) | |||||||
\(32\) | 11.0309 | + | 5.03766i | 1.95001 | + | 0.890540i | ||||
\(33\) | −3.14470 | + | 3.96100i | −0.547422 | + | 0.689522i | ||||
\(34\) | −6.44043 | + | 5.58067i | −1.10453 | + | 0.957077i | ||||
\(35\) | 2.18133 | − | 1.89013i | 0.368712 | − | 0.319490i | ||||
\(36\) | −7.28147 | − | 12.8855i | −1.21358 | − | 2.14758i | ||||
\(37\) | 9.07020 | + | 4.14222i | 1.49113 | + | 0.680977i | 0.983551 | − | 0.180628i | \(-0.0578131\pi\) |
0.507580 | + | 0.861605i | \(0.330540\pi\) | |||||||
\(38\) | 4.62402 | + | 2.97167i | 0.750114 | + | 0.482069i | ||||
\(39\) | −0.382487 | + | 3.81899i | −0.0612469 | + | 0.611529i | ||||
\(40\) | 18.6418 | + | 2.68028i | 2.94753 | + | 0.423790i | ||||
\(41\) | −1.04401 | + | 0.476785i | −0.163048 | + | 0.0744614i | −0.495267 | − | 0.868741i | \(-0.664930\pi\) |
0.332219 | + | 0.943202i | \(0.392203\pi\) | |||||||
\(42\) | −5.24085 | − | 1.29709i | −0.808681 | − | 0.200145i | ||||
\(43\) | −5.65476 | − | 8.79897i | −0.862342 | − | 1.34183i | −0.938695 | − | 0.344750i | \(-0.887964\pi\) |
0.0763522 | − | 0.997081i | \(-0.475673\pi\) | |||||||
\(44\) | −9.43371 | + | 10.8871i | −1.42219 | + | 1.64129i | ||||
\(45\) | −5.24694 | − | 5.09635i | −0.782167 | − | 0.759719i | ||||
\(46\) | −2.38094 | + | 12.4017i | −0.351050 | + | 1.82853i | ||||
\(47\) | − | 3.92905i | − | 0.573111i | −0.958064 | − | 0.286556i | \(-0.907490\pi\) | ||
0.958064 | − | 0.286556i | \(-0.0925103\pi\) | |||||||
\(48\) | −8.23708 | − | 16.1606i | −1.18892 | − | 2.33259i | ||||
\(49\) | 4.70988 | − | 3.02685i | 0.672840 | − | 0.432408i | ||||
\(50\) | 2.46246 | − | 0.354048i | 0.348244 | − | 0.0500699i | ||||
\(51\) | 5.60042 | − | 0.240847i | 0.784215 | − | 0.0337254i | ||||
\(52\) | −1.55583 | + | 10.8210i | −0.215754 | + | 1.50060i | ||||
\(53\) | −1.17543 | + | 0.345137i | −0.161457 | + | 0.0474082i | −0.361462 | − | 0.932387i | \(-0.617722\pi\) |
0.200005 | + | 0.979795i | \(0.435904\pi\) | |||||||
\(54\) | −2.13475 | + | 13.5147i | −0.290502 | + | 1.83912i | ||||
\(55\) | −2.95753 | + | 6.47608i | −0.398793 | + | 0.873235i | ||||
\(56\) | −8.77362 | − | 2.57617i | −1.17242 | − | 0.344255i | ||||
\(57\) | −1.16674 | − | 3.42214i | −0.154538 | − | 0.453274i | ||||
\(58\) | −6.94380 | − | 8.01357i | −0.911765 | − | 1.05223i | ||||
\(59\) | −0.856510 | + | 2.91700i | −0.111508 | + | 0.379762i | −0.996271 | − | 0.0862799i | \(-0.972502\pi\) |
0.884763 | + | 0.466041i | \(0.154320\pi\) | |||||||
\(60\) | −14.3077 | − | 15.1450i | −1.84711 | − | 1.95520i | ||||
\(61\) | −0.408000 | + | 0.634861i | −0.0522391 | + | 0.0812856i | −0.866391 | − | 0.499367i | \(-0.833566\pi\) |
0.814152 | + | 0.580652i | \(0.197202\pi\) | |||||||
\(62\) | 2.92234 | + | 9.95258i | 0.371138 | + | 1.26398i | ||||
\(63\) | 2.16942 | + | 2.81174i | 0.273321 | + | 0.354245i | ||||
\(64\) | −4.56411 | − | 9.99402i | −0.570514 | − | 1.24925i | ||||
\(65\) | 0.768908 | + | 5.34787i | 0.0953712 | + | 0.663322i | ||||
\(66\) | 13.0881 | − | 2.45986i | 1.61104 | − | 0.302787i | ||||
\(67\) | 3.21490 | + | 2.78573i | 0.392763 | + | 0.340331i | 0.828747 | − | 0.559623i | \(-0.189054\pi\) |
−0.435984 | + | 0.899954i | \(0.643600\pi\) | |||||||
\(68\) | 15.9667 | 1.93625 | ||||||||
\(69\) | 6.29889 | − | 5.41517i | 0.758297 | − | 0.651909i | ||||
\(70\) | −7.60010 | −0.908385 | ||||||||
\(71\) | 5.67541 | + | 4.91777i | 0.673548 | + | 0.583632i | 0.923021 | − | 0.384749i | \(-0.125712\pi\) |
−0.249473 | + | 0.968382i | \(0.580258\pi\) | |||||||
\(72\) | −4.59564 | + | 22.7128i | −0.541602 | + | 2.67673i | ||||
\(73\) | −0.227289 | − | 1.58083i | −0.0266022 | − | 0.185022i | 0.972188 | − | 0.234203i | \(-0.0752481\pi\) |
−0.998790 | + | 0.0491807i | \(0.984339\pi\) | |||||||
\(74\) | −10.9071 | − | 23.8832i | −1.26792 | − | 2.77637i | ||||
\(75\) | −1.41339 | − | 0.824752i | −0.163204 | − | 0.0952342i | ||||
\(76\) | −2.90140 | − | 9.88128i | −0.332814 | − | 1.13346i | ||||
\(77\) | 1.86880 | − | 2.90790i | 0.212969 | − | 0.331386i | ||||
\(78\) | 7.34643 | − | 6.94028i | 0.831819 | − | 0.785832i | ||||
\(79\) | 0.756510 | − | 2.57644i | 0.0851140 | − | 0.289872i | −0.905926 | − | 0.423436i | \(-0.860824\pi\) |
0.991040 | + | 0.133564i | \(0.0426422\pi\) | |||||||
\(80\) | −16.7211 | − | 19.2972i | −1.86948 | − | 2.15749i | ||||
\(81\) | 6.62729 | − | 6.08926i | 0.736365 | − | 0.676584i | ||||
\(82\) | 2.89974 | + | 0.851440i | 0.320223 | + | 0.0940258i | ||||
\(83\) | −2.64430 | + | 5.79022i | −0.290250 | + | 0.635559i | −0.997443 | − | 0.0714613i | \(-0.977234\pi\) |
0.707193 | + | 0.707020i | \(0.249961\pi\) | |||||||
\(84\) | 5.82947 | + | 8.26693i | 0.636047 | + | 0.901996i | ||||
\(85\) | 7.57131 | − | 2.22314i | 0.821224 | − | 0.241133i | ||||
\(86\) | −3.91951 | + | 27.2608i | −0.422651 | + | 2.93961i | ||||
\(87\) | 0.299677 | + | 6.96837i | 0.0321287 | + | 0.747087i | ||||
\(88\) | 22.3253 | − | 3.20990i | 2.37989 | − | 0.342176i | ||||
\(89\) | −4.54874 | + | 2.92330i | −0.482165 | + | 0.309869i | −0.759048 | − | 0.651035i | \(-0.774335\pi\) |
0.276882 | + | 0.960904i | \(0.410699\pi\) | |||||||
\(90\) | 1.65354 | + | 19.1893i | 0.174299 | + | 2.02273i | ||||
\(91\) | − | 2.62319i | − | 0.274985i | ||||||
\(92\) | 18.5876 | − | 14.6392i | 1.93789 | − | 1.52624i | ||||
\(93\) | 2.56511 | − | 6.32251i | 0.265990 | − | 0.655614i | ||||
\(94\) | −6.77506 | + | 7.81883i | −0.698794 | + | 0.806451i | ||||
\(95\) | −2.75165 | − | 4.28165i | −0.282313 | − | 0.439288i | ||||
\(96\) | −5.04621 | + | 20.3891i | −0.515027 | + | 2.08095i | ||||
\(97\) | −11.4671 | + | 5.23685i | −1.16431 | + | 0.531722i | −0.901352 | − | 0.433086i | \(-0.857425\pi\) |
−0.262956 | + | 0.964808i | \(0.584697\pi\) | |||||||
\(98\) | −14.5920 | − | 2.09802i | −1.47402 | − | 0.211932i | ||||
\(99\) | −7.74869 | − | 4.08581i | −0.778772 | − | 0.410640i | ||||
\(100\) | −3.92119 | − | 2.51999i | −0.392119 | − | 0.251999i | ||||
\(101\) | 7.78174 | + | 3.55380i | 0.774312 | + | 0.353617i | 0.763066 | − | 0.646320i | \(-0.223693\pi\) |
0.0112461 | + | 0.999937i | \(0.496420\pi\) | |||||||
\(102\) | −11.5602 | − | 9.17779i | −1.14463 | − | 0.908736i | ||||
\(103\) | −13.6568 | + | 11.8337i | −1.34564 | + | 1.16601i | −0.374575 | + | 0.927197i | \(0.622211\pi\) |
−0.971067 | + | 0.238809i | \(0.923243\pi\) | |||||||
\(104\) | 12.9359 | − | 11.2090i | 1.26847 | − | 1.09913i | ||||
\(105\) | 3.91534 | + | 3.10845i | 0.382098 | + | 0.303353i | ||||
\(106\) | 2.93424 | + | 1.34002i | 0.284999 | + | 0.130155i | ||||
\(107\) | −11.3423 | − | 7.28925i | −1.09650 | − | 0.704678i | −0.138190 | − | 0.990406i | \(-0.544128\pi\) |
−0.958311 | + | 0.285728i | \(0.907765\pi\) | |||||||
\(108\) | 19.6047 | − | 16.5173i | 1.88646 | − | 1.58938i | ||||
\(109\) | −17.4230 | − | 2.50505i | −1.66882 | − | 0.239941i | −0.757857 | − | 0.652421i | \(-0.773753\pi\) |
−0.910966 | + | 0.412481i | \(0.864662\pi\) | |||||||
\(110\) | 17.0525 | − | 7.78763i | 1.62589 | − | 0.742521i | ||||
\(111\) | −4.14925 | + | 16.7649i | −0.393830 | + | 1.59126i | ||||
\(112\) | 6.70241 | + | 10.4292i | 0.633318 | + | 0.985462i | ||||
\(113\) | 6.19909 | − | 7.15414i | 0.583162 | − | 0.673004i | −0.385120 | − | 0.922867i | \(-0.625840\pi\) |
0.968281 | + | 0.249862i | \(0.0803853\pi\) | |||||||
\(114\) | −3.57916 | + | 8.82194i | −0.335219 | + | 0.826251i | ||||
\(115\) | 6.77582 | − | 9.52987i | 0.631848 | − | 0.888665i | ||||
\(116\) | 19.8668i | 1.84458i | ||||||||
\(117\) | −6.62324 | + | 0.570724i | −0.612319 | + | 0.0527635i | ||||
\(118\) | 6.73439 | − | 4.32793i | 0.619951 | − | 0.398418i | ||||
\(119\) | −3.79221 | + | 0.545238i | −0.347631 | + | 0.0499818i | ||||
\(120\) | 1.40156 | + | 32.5904i | 0.127944 | + | 2.97509i | ||||
\(121\) | 0.352055 | − | 2.44860i | 0.0320050 | − | 0.222600i | ||||
\(122\) | 1.90665 | − | 0.559842i | 0.172620 | − | 0.0506857i | ||||
\(123\) | −1.14562 | − | 1.62463i | −0.103297 | − | 0.146488i | ||||
\(124\) | 8.07337 | − | 17.6782i | 0.725010 | − | 1.58755i | ||||
\(125\) | 9.48688 | + | 2.78560i | 0.848532 | + | 0.249152i | ||||
\(126\) | 0.531262 | − | 9.33620i | 0.0473285 | − | 0.831735i | ||||
\(127\) | 12.8511 | + | 14.8310i | 1.14035 | + | 1.31604i | 0.941888 | + | 0.335927i | \(0.109050\pi\) |
0.198463 | + | 0.980108i | \(0.436405\pi\) | |||||||
\(128\) | −1.31753 | + | 4.48711i | −0.116455 | + | 0.396608i | ||||
\(129\) | 13.1689 | − | 12.4408i | 1.15946 | − | 1.09536i | ||||
\(130\) | 7.69147 | − | 11.9682i | 0.674586 | − | 1.04968i | ||||
\(131\) | −4.77268 | − | 16.2543i | −0.416991 | − | 1.42014i | −0.853806 | − | 0.520591i | \(-0.825712\pi\) |
0.436815 | − | 0.899551i | \(-0.356106\pi\) | |||||||
\(132\) | −21.5506 | − | 12.5754i | −1.87574 | − | 1.09455i | ||||
\(133\) | 1.02653 | + | 2.24779i | 0.0890117 | + | 0.194908i | ||||
\(134\) | −1.59410 | − | 11.0872i | −0.137710 | − | 0.957791i | ||||
\(135\) | 6.99659 | − | 10.5621i | 0.602171 | − | 0.909037i | ||||
\(136\) | −18.8930 | − | 16.3709i | −1.62006 | − | 1.40379i | ||||
\(137\) | −15.4195 | −1.31737 | −0.658687 | − | 0.752417i | \(-0.728888\pi\) | ||||
−0.658687 | + | 0.752417i | \(0.728888\pi\) | |||||||
\(138\) | −21.8725 | − | 0.0852720i | −1.86191 | − | 0.00725883i | ||||
\(139\) | 4.41392 | 0.374384 | 0.187192 | − | 0.982323i | \(-0.440061\pi\) | ||||
0.187192 | + | 0.982323i | \(0.440061\pi\) | |||||||
\(140\) | 10.7616 | + | 9.32496i | 0.909519 | + | 0.788103i | ||||
\(141\) | 6.68822 | − | 1.25702i | 0.563250 | − | 0.105860i | ||||
\(142\) | −2.81414 | − | 19.5728i | −0.236158 | − | 1.64251i | ||||
\(143\) | 2.68792 | + | 5.88572i | 0.224775 | + | 0.492189i | ||||
\(144\) | 24.8741 | − | 19.1918i | 2.07284 | − | 1.59932i | ||||
\(145\) | 2.76616 | + | 9.42067i | 0.229717 | + | 0.782344i | ||||
\(146\) | −2.27360 | + | 3.53779i | −0.188164 | + | 0.292789i | ||||
\(147\) | 6.65928 | + | 7.04899i | 0.549248 | + | 0.581391i | ||||
\(148\) | −13.8594 | + | 47.2006i | −1.13923 | + | 3.87987i | ||||
\(149\) | 1.44003 | + | 1.66189i | 0.117972 | + | 0.136147i | 0.811664 | − | 0.584125i | \(-0.198562\pi\) |
−0.693691 | + | 0.720272i | \(0.744017\pi\) | |||||||
\(150\) | 1.39049 | + | 4.07844i | 0.113533 | + | 0.333003i | ||||
\(151\) | 3.02294 | + | 0.887615i | 0.246003 | + | 0.0722330i | 0.402410 | − | 0.915460i | \(-0.368173\pi\) |
−0.156406 | + | 0.987693i | \(0.549991\pi\) | |||||||
\(152\) | −6.69824 | + | 14.6671i | −0.543299 | + | 1.18966i | ||||
\(153\) | 2.20172 | + | 9.45624i | 0.177999 | + | 0.764492i | ||||
\(154\) | −8.73315 | + | 2.56429i | −0.703738 | + | 0.206636i | ||||
\(155\) | 1.36690 | − | 9.50698i | 0.109792 | − | 0.763619i | ||||
\(156\) | −18.9178 | + | 0.813564i | −1.51464 | + | 0.0651373i | ||||
\(157\) | −14.7329 | + | 2.11828i | −1.17582 | + | 0.169057i | −0.702400 | − | 0.711782i | \(-0.747888\pi\) |
−0.473416 | + | 0.880839i | \(0.656979\pi\) | |||||||
\(158\) | −5.94813 | + | 3.82263i | −0.473208 | + | 0.304112i | ||||
\(159\) | −0.963563 | − | 1.89045i | −0.0764155 | − | 0.149922i | ||||
\(160\) | 29.5675i | 2.33752i | ||||||||
\(161\) | −3.91479 | + | 4.11165i | −0.308528 | + | 0.324044i | ||||
\(162\) | −23.6883 | + | 0.689892i | −1.86113 | + | 0.0542030i | ||||
\(163\) | −3.19503 | + | 3.68726i | −0.250254 | + | 0.288809i | −0.866952 | − | 0.498391i | \(-0.833924\pi\) |
0.616698 | + | 0.787200i | \(0.288470\pi\) | |||||||
\(164\) | −3.06129 | − | 4.76346i | −0.239047 | − | 0.371964i | ||||
\(165\) | −11.9701 | − | 2.96255i | −0.931871 | − | 0.230634i | ||||
\(166\) | 15.2465 | − | 6.96286i | 1.18336 | − | 0.540423i | ||||
\(167\) | 14.4134 | + | 2.07233i | 1.11534 | + | 0.160362i | 0.675248 | − | 0.737591i | \(-0.264037\pi\) |
0.440092 | + | 0.897953i | \(0.354946\pi\) | |||||||
\(168\) | 1.57833 | − | 15.7591i | 0.121771 | − | 1.21584i | ||||
\(169\) | −6.80546 | − | 4.37360i | −0.523497 | − | 0.336431i | ||||
\(170\) | −18.9004 | − | 8.63153i | −1.44960 | − | 0.662008i | ||||
\(171\) | 5.45206 | − | 3.08092i | 0.416930 | − | 0.235604i | ||||
\(172\) | 38.9976 | − | 33.7916i | 2.97354 | − | 2.57659i | ||||
\(173\) | −17.1420 | + | 14.8536i | −1.30328 | + | 1.12930i | −0.319960 | + | 0.947431i | \(0.603670\pi\) |
−0.983323 | + | 0.181870i | \(0.941785\pi\) | |||||||
\(174\) | 11.4195 | − | 14.3838i | 0.865713 | − | 1.09044i | ||||
\(175\) | 1.01736 | + | 0.464614i | 0.0769053 | + | 0.0351215i | ||||
\(176\) | −25.7248 | − | 16.5324i | −1.93908 | − | 1.24617i | ||||
\(177\) | −5.23948 | − | 0.524754i | −0.393824 | − | 0.0394429i | ||||
\(178\) | 14.0928 | + | 2.02624i | 1.05630 | + | 0.151873i | ||||
\(179\) | 1.16301 | − | 0.531130i | 0.0869276 | − | 0.0396985i | −0.371477 | − | 0.928442i | \(-0.621148\pi\) |
0.458404 | + | 0.888744i | \(0.348421\pi\) | |||||||
\(180\) | 21.2030 | − | 29.2005i | 1.58038 | − | 2.17648i | ||||
\(181\) | 6.80547 | + | 10.5895i | 0.505847 | + | 0.787113i | 0.996443 | − | 0.0842745i | \(-0.0268573\pi\) |
−0.490596 | + | 0.871387i | \(0.663221\pi\) | |||||||
\(182\) | −4.52330 | + | 5.22017i | −0.335289 | + | 0.386945i | ||||
\(183\) | −1.21122 | − | 0.491407i | −0.0895361 | − | 0.0363258i | ||||
\(184\) | −37.0040 | − | 1.73592i | −2.72797 | − | 0.127974i | ||||
\(185\) | 24.3119i | 1.78745i | ||||||||
\(186\) | −16.0068 | + | 8.15867i | −1.17368 | + | 0.598223i | ||||
\(187\) | 7.94998 | − | 5.10914i | 0.581360 | − | 0.373618i | ||||
\(188\) | 19.1867 | − | 2.75863i | 1.39933 | − | 0.201194i | ||||
\(189\) | −4.09221 | + | 4.59244i | −0.297664 | + | 0.334051i | ||||
\(190\) | −1.90726 | + | 13.2653i | −0.138367 | + | 0.962367i | ||||
\(191\) | 0.700050 | − | 0.205553i | 0.0506539 | − | 0.0148733i | −0.256307 | − | 0.966595i | \(-0.582506\pi\) |
0.306961 | + | 0.951722i | \(0.400688\pi\) | |||||||
\(192\) | 15.5521 | − | 10.9666i | 1.12238 | − | 0.791449i | ||||
\(193\) | 9.92984 | − | 21.7433i | 0.714765 | − | 1.56512i | −0.106332 | − | 0.994331i | \(-0.533911\pi\) |
0.821098 | − | 0.570787i | \(-0.193362\pi\) | |||||||
\(194\) | 31.8498 | + | 9.35193i | 2.28668 | + | 0.671430i | ||||
\(195\) | −8.85740 | + | 3.01981i | −0.634291 | + | 0.216253i | ||||
\(196\) | 18.0878 | + | 20.8745i | 1.29199 | + | 1.49103i | ||||
\(197\) | −0.763476 | + | 2.60016i | −0.0543954 | + | 0.185254i | −0.982209 | − | 0.187790i | \(-0.939868\pi\) |
0.927814 | + | 0.373044i | \(0.121686\pi\) | |||||||
\(198\) | 8.37456 | + | 21.4922i | 0.595154 | + | 1.52739i | ||||
\(199\) | 1.39281 | − | 2.16726i | 0.0987337 | − | 0.153633i | −0.788372 | − | 0.615199i | \(-0.789076\pi\) |
0.887106 | + | 0.461566i | \(0.152712\pi\) | |||||||
\(200\) | 2.05606 | + | 7.00228i | 0.145385 | + | 0.495136i | ||||
\(201\) | −3.71346 | + | 6.36380i | −0.261927 | + | 0.448868i | ||||
\(202\) | −9.35771 | − | 20.4905i | −0.658406 | − | 1.44171i | ||||
\(203\) | −0.678417 | − | 4.71849i | −0.0476155 | − | 0.331173i | ||||
\(204\) | 5.10824 | + | 27.1793i | 0.357648 | + | 1.90293i | ||||
\(205\) | −2.11489 | − | 1.83256i | −0.147710 | − | 0.127991i | ||||
\(206\) | 47.5824 | 3.31522 | ||||||||
\(207\) | 11.2332 | + | 8.98979i | 0.780758 | + | 0.624833i | ||||
\(208\) | −23.2062 | −1.60906 | ||||||||
\(209\) | −4.60651 | − | 3.99157i | −0.318639 | − | 0.276102i | ||||
\(210\) | −2.43150 | − | 12.9372i | −0.167789 | − | 0.892755i | ||||
\(211\) | −1.72565 | − | 12.0022i | −0.118799 | − | 0.826265i | −0.958882 | − | 0.283806i | \(-0.908403\pi\) |
0.840083 | − | 0.542458i | \(-0.182506\pi\) | |||||||
\(212\) | −2.51068 | − | 5.49763i | −0.172434 | − | 0.377579i | ||||
\(213\) | −6.55553 | + | 11.2343i | −0.449178 | + | 0.769761i | ||||
\(214\) | 10.0020 | + | 34.0637i | 0.683723 | + | 2.32855i | ||||
\(215\) | 13.7874 | − | 21.4536i | 0.940293 | − | 1.46312i | ||||
\(216\) | −40.1331 | − | 0.556414i | −2.73071 | − | 0.0378592i | ||||
\(217\) | −1.31380 | + | 4.47439i | −0.0891865 | + | 0.303741i | ||||
\(218\) | 30.3523 | + | 35.0284i | 2.05572 | + | 2.37243i | ||||
\(219\) | 2.61825 | − | 0.892658i | 0.176925 | − | 0.0603202i | ||||
\(220\) | −33.7011 | − | 9.89553i | −2.27213 | − | 0.667156i | ||||
\(221\) | 2.97919 | − | 6.52353i | 0.200402 | − | 0.438820i | ||||
\(222\) | 37.1656 | − | 26.2075i | 2.49439 | − | 1.75894i | ||||
\(223\) | 12.1549 | − | 3.56901i | 0.813954 | − | 0.238999i | 0.151844 | − | 0.988405i | \(-0.451479\pi\) |
0.662111 | + | 0.749406i | \(0.269661\pi\) | |||||||
\(224\) | 2.04301 | − | 14.2095i | 0.136505 | − | 0.949410i | ||||
\(225\) | 0.951747 | − | 2.66980i | 0.0634498 | − | 0.177987i | ||||
\(226\) | −24.6725 | + | 3.54736i | −1.64119 | + | 0.235967i | ||||
\(227\) | −23.2229 | + | 14.9244i | −1.54136 | + | 0.990570i | −0.553918 | + | 0.832571i | \(0.686868\pi\) |
−0.987439 | + | 0.157999i | \(0.949496\pi\) | |||||||
\(228\) | 15.8921 | − | 8.10022i | 1.05248 | − | 0.536450i | ||||
\(229\) | − | 4.65621i | − | 0.307691i | −0.988095 | − | 0.153845i | \(-0.950834\pi\) | ||
0.988095 | − | 0.153845i | \(-0.0491658\pi\) | |||||||
\(230\) | −29.9167 | + | 7.28061i | −1.97265 | + | 0.480070i | ||||
\(231\) | 5.54785 | + | 2.25083i | 0.365022 | + | 0.148094i | ||||
\(232\) | 20.3696 | − | 23.5078i | 1.33733 | − | 1.54336i | ||||
\(233\) | −2.16749 | − | 3.37268i | −0.141997 | − | 0.220951i | 0.762970 | − | 0.646434i | \(-0.223741\pi\) |
−0.904966 | + | 0.425483i | \(0.860104\pi\) | |||||||
\(234\) | 14.1644 | + | 10.2850i | 0.925957 | + | 0.672354i | ||||
\(235\) | 8.71409 | − | 3.97959i | 0.568444 | − | 0.259600i | ||||
\(236\) | −14.8459 | − | 2.13452i | −0.966387 | − | 0.138946i | ||||
\(237\) | 4.62776 | + | 0.463488i | 0.300605 | + | 0.0301068i | ||||
\(238\) | 8.48670 | + | 5.45407i | 0.550111 | + | 0.353535i | ||||
\(239\) | −7.25649 | − | 3.31393i | −0.469384 | − | 0.214360i | 0.166658 | − | 0.986015i | \(-0.446702\pi\) |
−0.636042 | + | 0.771654i | \(0.719430\pi\) | |||||||
\(240\) | 27.4990 | − | 34.6372i | 1.77505 | − | 2.23582i | ||||
\(241\) | 9.95909 | − | 8.62960i | 0.641522 | − | 0.555882i | −0.272191 | − | 0.962243i | \(-0.587748\pi\) |
0.913712 | + | 0.406362i | \(0.133203\pi\) | |||||||
\(242\) | −4.92283 | + | 4.26565i | −0.316451 | + | 0.274207i | ||||
\(243\) | 12.4857 | + | 9.33315i | 0.800957 | + | 0.598722i | ||||
\(244\) | −3.38667 | − | 1.54664i | −0.216809 | − | 0.0990135i | ||||
\(245\) | 11.4836 | + | 7.38006i | 0.733660 | + | 0.471495i | ||||
\(246\) | −0.521648 | + | 5.20847i | −0.0332591 | + | 0.332080i | ||||
\(247\) | −4.57856 | − | 0.658297i | −0.291327 | − | 0.0418864i | ||||
\(248\) | −27.6787 | + | 12.6404i | −1.75760 | + | 0.802669i | ||||
\(249\) | −10.7024 | − | 2.64879i | −0.678235 | − | 0.167860i | ||||
\(250\) | −14.0756 | − | 21.9021i | −0.890219 | − | 1.38521i | ||||
\(251\) | 4.67283 | − | 5.39273i | 0.294946 | − | 0.340386i | −0.588863 | − | 0.808233i | \(-0.700424\pi\) |
0.883810 | + | 0.467846i | \(0.154970\pi\) | |||||||
\(252\) | −12.2073 | + | 12.5680i | −0.768990 | + | 0.791712i | ||||
\(253\) | 4.57059 | − | 13.2368i | 0.287351 | − | 0.832190i | ||||
\(254\) | − | 51.6735i | − | 3.24228i | ||||||
\(255\) | 6.20662 | + | 12.1770i | 0.388673 | + | 0.762553i | ||||
\(256\) | −8.12626 | + | 5.22243i | −0.507891 | + | 0.326402i | ||||
\(257\) | −13.0853 | + | 1.88138i | −0.816239 | + | 0.117357i | −0.537774 | − | 0.843089i | \(-0.680735\pi\) |
−0.278465 | + | 0.960446i | \(0.589826\pi\) | |||||||
\(258\) | −47.6585 | + | 2.04957i | −2.96709 | + | 0.127601i | ||||
\(259\) | 1.67987 | − | 11.6838i | 0.104382 | − | 0.725993i | ||||
\(260\) | −25.5753 | + | 7.50959i | −1.58611 | + | 0.465725i | ||||
\(261\) | −11.7660 | + | 2.73951i | −0.728298 | + | 0.169572i | ||||
\(262\) | −18.5304 | + | 40.5759i | −1.14481 | + | 2.50678i | ||||
\(263\) | −7.62710 | − | 2.23952i | −0.470307 | − | 0.138095i | 0.0379868 | − | 0.999278i | \(-0.487906\pi\) |
−0.508294 | + | 0.861184i | \(0.669724\pi\) | |||||||
\(264\) | 12.6066 | + | 36.9763i | 0.775881 | + | 2.27573i | ||||
\(265\) | −1.95601 | − | 2.25736i | −0.120157 | − | 0.138668i | ||||
\(266\) | 1.83318 | − | 6.24322i | 0.112399 | − | 0.382797i | ||||
\(267\) | −6.43145 | − | 6.80783i | −0.393598 | − | 0.416632i | ||||
\(268\) | −11.3463 | + | 17.6552i | −0.693085 | + | 1.07846i | ||||
\(269\) | −4.30826 | − | 14.6726i | −0.262679 | − | 0.894603i | −0.980191 | − | 0.198057i | \(-0.936537\pi\) |
0.717511 | − | 0.696547i | \(-0.245281\pi\) | |||||||
\(270\) | −32.1359 | + | 8.95397i | −1.95573 | + | 0.544921i | ||||
\(271\) | 9.97980 | + | 21.8527i | 0.606230 | + | 1.32746i | 0.925123 | + | 0.379668i | \(0.123962\pi\) |
−0.318893 | + | 0.947791i | \(0.603311\pi\) | |||||||
\(272\) | 4.82346 | + | 33.5479i | 0.292465 | + | 2.03414i | ||||
\(273\) | 4.46532 | − | 0.839238i | 0.270254 | − | 0.0507930i | ||||
\(274\) | 30.6848 | + | 26.5885i | 1.85374 | + | 1.60627i | ||||
\(275\) | −2.75876 | −0.166359 | ||||||||
\(276\) | 30.8663 | + | 26.9572i | 1.85793 | + | 1.62263i | ||||
\(277\) | −6.79404 | −0.408214 | −0.204107 | − | 0.978949i | \(-0.565429\pi\) | ||||
−0.204107 | + | 0.978949i | \(0.565429\pi\) | |||||||
\(278\) | −8.78372 | − | 7.61113i | −0.526812 | − | 0.456485i | ||||
\(279\) | 11.5831 | + | 2.34370i | 0.693464 | + | 0.140313i | ||||
\(280\) | −3.17289 | − | 22.0680i | −0.189617 | − | 1.31881i | ||||
\(281\) | 11.6441 | + | 25.4970i | 0.694628 | + | 1.52102i | 0.846366 | + | 0.532602i | \(0.178786\pi\) |
−0.151738 | + | 0.988421i | \(0.548487\pi\) | |||||||
\(282\) | −15.4771 | − | 9.03134i | −0.921650 | − | 0.537809i | ||||
\(283\) | −4.48770 | − | 15.2837i | −0.266766 | − | 0.908522i | −0.978530 | − | 0.206103i | \(-0.933922\pi\) |
0.711764 | − | 0.702418i | \(-0.247896\pi\) | |||||||
\(284\) | −20.0301 | + | 31.1675i | −1.18857 | + | 1.84945i | ||||
\(285\) | 6.40809 | − | 6.05382i | 0.379583 | − | 0.358597i | ||||
\(286\) | 4.80007 | − | 16.3475i | 0.283834 | − | 0.966650i | ||||
\(287\) | 0.889742 | + | 1.02682i | 0.0525198 | + | 0.0606111i | ||||
\(288\) | −36.3216 | − | 2.06683i | −2.14027 | − | 0.121789i | ||||
\(289\) | 6.26143 | + | 1.83852i | 0.368320 | + | 0.108148i | ||||
\(290\) | 10.7399 | − | 23.5170i | 0.630666 | − | 1.38097i | ||||
\(291\) | −12.5831 | − | 17.8444i | −0.737633 | − | 1.04606i | ||||
\(292\) | 7.56007 | − | 2.21984i | 0.442420 | − | 0.129906i | ||||
\(293\) | 1.42874 | − | 9.93714i | 0.0834681 | − | 0.580534i | −0.904570 | − | 0.426325i | \(-0.859808\pi\) |
0.988038 | − | 0.154209i | \(-0.0492829\pi\) | |||||||
\(294\) | −1.09708 | − | 25.5105i | −0.0639833 | − | 1.48780i | ||||
\(295\) | −7.33703 | + | 1.05491i | −0.427178 | + | 0.0614190i | ||||
\(296\) | 64.7948 | − | 41.6411i | 3.76612 | − | 2.42034i | ||||
\(297\) | 4.47602 | − | 14.4974i | 0.259725 | − | 0.841222i | ||||
\(298\) | − | 5.79028i | − | 0.335422i | ||||||
\(299\) | −2.51292 | − | 10.3258i | −0.145326 | − | 0.597159i | ||||
\(300\) | 3.03515 | − | 7.48105i | 0.175234 | − | 0.431918i | ||||
\(301\) | −8.10828 | + | 9.35745i | −0.467353 | + | 0.539355i | ||||
\(302\) | −4.48510 | − | 6.97896i | −0.258089 | − | 0.401594i | ||||
\(303\) | −3.55984 | + | 14.3834i | −0.204507 | + | 0.826306i | ||||
\(304\) | 19.8852 | − | 9.08125i | 1.14049 | − | 0.520846i | ||||
\(305\) | −1.82128 | − | 0.261861i | −0.104286 | − | 0.0149941i | ||||
\(306\) | 11.9244 | − | 22.6145i | 0.681674 | − | 1.29279i | ||||
\(307\) | 11.7033 | + | 7.52123i | 0.667940 | + | 0.429259i | 0.830182 | − | 0.557492i | \(-0.188236\pi\) |
−0.162242 | + | 0.986751i | \(0.551873\pi\) | |||||||
\(308\) | 15.5122 | + | 7.08419i | 0.883891 | + | 0.403659i | ||||
\(309\) | −24.5130 | − | 19.4613i | −1.39450 | − | 1.10711i | ||||
\(310\) | −19.1135 | + | 16.5619i | −1.08557 | + | 0.940655i | ||||
\(311\) | 14.8705 | − | 12.8853i | 0.843226 | − | 0.730660i | −0.121873 | − | 0.992546i | \(-0.538890\pi\) |
0.965099 | + | 0.261886i | \(0.0843445\pi\) | |||||||
\(312\) | 23.2191 | + | 18.4340i | 1.31452 | + | 1.04362i | ||||
\(313\) | −16.9582 | − | 7.74454i | −0.958533 | − | 0.437747i | −0.126188 | − | 0.992006i | \(-0.540274\pi\) |
−0.832344 | + | 0.554259i | \(0.813002\pi\) | |||||||
\(314\) | 32.9713 | + | 21.1893i | 1.86068 | + | 1.19578i | ||||
\(315\) | −4.03871 | + | 7.65936i | −0.227556 | + | 0.431556i | ||||
\(316\) | 13.1126 | + | 1.88531i | 0.737643 | + | 0.106057i | ||||
\(317\) | 17.0535 | − | 7.78807i | 0.957819 | − | 0.437421i | 0.125731 | − | 0.992064i | \(-0.459872\pi\) |
0.832089 | + | 0.554643i | \(0.187145\pi\) | |||||||
\(318\) | −1.34230 | + | 5.42352i | −0.0752724 | + | 0.304136i | ||||
\(319\) | 6.35710 | + | 9.89184i | 0.355929 | + | 0.553837i | ||||
\(320\) | 17.5425 | − | 20.2451i | 0.980656 | − | 1.13174i | ||||
\(321\) | 8.77936 | − | 21.6394i | 0.490016 | − | 1.20779i | ||||
\(322\) | 14.8804 | − | 1.43175i | 0.829251 | − | 0.0797885i | ||||
\(323\) | 6.75580i | 0.375903i | ||||||||
\(324\) | 34.3887 | + | 28.0876i | 1.91048 | + | 1.56042i | ||||
\(325\) | −1.76124 | + | 1.13188i | −0.0976959 | + | 0.0627853i | ||||
\(326\) | 12.7163 | − | 1.82832i | 0.704288 | − | 0.101261i | ||||
\(327\) | −1.30993 | − | 30.4597i | −0.0724392 | − | 1.68443i | ||||
\(328\) | −1.26169 | + | 8.77526i | −0.0696653 | + | 0.484533i | ||||
\(329\) | −4.46277 | + | 1.31039i | −0.246040 | + | 0.0722440i | ||||
\(330\) | 18.7121 | + | 26.5361i | 1.03007 | + | 1.46076i | ||||
\(331\) | −2.09349 | + | 4.58410i | −0.115069 | + | 0.251965i | −0.958400 | − | 0.285429i | \(-0.907864\pi\) |
0.843331 | + | 0.537394i | \(0.180591\pi\) | |||||||
\(332\) | −30.1319 | − | 8.84752i | −1.65370 | − | 0.485570i | ||||
\(333\) | −29.8655 | − | 1.69945i | −1.63662 | − | 0.0931293i | ||||
\(334\) | −25.1093 | − | 28.9776i | −1.37392 | − | 1.58559i | ||||
\(335\) | −2.92210 | + | 9.95177i | −0.159651 | + | 0.543723i | ||||
\(336\) | −15.6087 | + | 14.7458i | −0.851524 | + | 0.804447i | ||||
\(337\) | −8.09854 | + | 12.6016i | −0.441155 | + | 0.686451i | −0.988630 | − | 0.150371i | \(-0.951953\pi\) |
0.547474 | + | 0.836823i | \(0.315589\pi\) | |||||||
\(338\) | 6.00128 | + | 20.4385i | 0.326426 | + | 1.11171i | ||||
\(339\) | 14.1614 | + | 8.26357i | 0.769141 | + | 0.448815i | ||||
\(340\) | 16.1721 | + | 35.4120i | 0.877056 | + | 1.92048i | ||||
\(341\) | −1.63699 | − | 11.3855i | −0.0886480 | − | 0.616560i | ||||
\(342\) | −16.1622 | − | 3.27021i | −0.873952 | − | 0.176833i | ||||
\(343\) | −11.2714 | − | 9.76669i | −0.608596 | − | 0.527352i | ||||
\(344\) | −80.7919 | −4.35601 | ||||||||
\(345\) | 18.3900 | + | 8.48523i | 0.990083 | + | 0.456829i | ||||
\(346\) | 59.7255 | 3.21086 | ||||||||
\(347\) | 1.64251 | + | 1.42324i | 0.0881745 | + | 0.0764036i | 0.697833 | − | 0.716261i | \(-0.254148\pi\) |
−0.609658 | + | 0.792664i | \(0.708693\pi\) | |||||||
\(348\) | −33.8181 | + | 6.35597i | −1.81284 | + | 0.340716i | ||||
\(349\) | 0.390080 | + | 2.71307i | 0.0208805 | + | 0.145227i | 0.997595 | − | 0.0693177i | \(-0.0220822\pi\) |
−0.976714 | + | 0.214545i | \(0.931173\pi\) | |||||||
\(350\) | −1.22340 | − | 2.67887i | −0.0653935 | − | 0.143192i | ||||
\(351\) | −3.09049 | − | 11.0918i | −0.164958 | − | 0.592036i | ||||
\(352\) | 9.97612 | + | 33.9755i | 0.531729 | + | 1.81090i | ||||
\(353\) | 0.844189 | − | 1.31358i | 0.0449317 | − | 0.0699150i | −0.818061 | − | 0.575131i | \(-0.804951\pi\) |
0.862993 | + | 0.505216i | \(0.168587\pi\) | |||||||
\(354\) | 9.52174 | + | 10.0790i | 0.506075 | + | 0.535691i | ||||
\(355\) | −5.15852 | + | 17.5683i | −0.273786 | + | 0.932428i | ||||
\(356\) | −17.4690 | − | 20.1603i | −0.925855 | − | 1.06849i | ||||
\(357\) | −2.14137 | − | 6.28084i | −0.113333 | − | 0.332417i | ||||
\(358\) | −3.23025 | − | 0.948488i | −0.170724 | − | 0.0501291i | ||||
\(359\) | −11.1195 | + | 24.3484i | −0.586867 | + | 1.28506i | 0.350450 | + | 0.936582i | \(0.386029\pi\) |
−0.937317 | + | 0.348478i | \(0.886699\pi\) | |||||||
\(360\) | −55.0286 | + | 12.8125i | −2.90026 | + | 0.675276i | ||||
\(361\) | −14.0494 | + | 4.12528i | −0.739443 | + | 0.217120i | ||||
\(362\) | 4.71711 | − | 32.8082i | 0.247926 | − | 1.72436i | ||||
\(363\) | 4.28075 | − | 0.184095i | 0.224681 | − | 0.00966247i | ||||
\(364\) | 12.8098 | − | 1.84177i | 0.671416 | − | 0.0965351i | ||||
\(365\) | 3.27585 | − | 2.10526i | 0.171466 | − | 0.110194i | ||||
\(366\) | 1.56298 | + | 3.06647i | 0.0816984 | + | 0.160287i | ||||
\(367\) | 17.1156i | 0.893425i | 0.894678 | + | 0.446712i | \(0.147405\pi\) | ||||
−0.894678 | + | 0.446712i | \(0.852595\pi\) | |||||||
\(368\) | 36.3739 | + | 34.6323i | 1.89612 | + | 1.80533i | ||||
\(369\) | 2.39901 | − | 2.46989i | 0.124887 | − | 0.128577i | ||||
\(370\) | 41.9222 | − | 48.3808i | 2.17943 | − | 2.51520i | ||||
\(371\) | 0.784039 | + | 1.21999i | 0.0407053 | + | 0.0633387i | ||||
\(372\) | 32.6756 | + | 8.08708i | 1.69415 | + | 0.419296i | ||||
\(373\) | 10.1343 | − | 4.62819i | 0.524735 | − | 0.239638i | −0.135392 | − | 0.990792i | \(-0.543230\pi\) |
0.660127 | + | 0.751154i | \(0.270502\pi\) | |||||||
\(374\) | −24.6305 | − | 3.54133i | −1.27361 | − | 0.183118i | ||||
\(375\) | −1.70664 | + | 17.0402i | −0.0881306 | + | 0.879953i | ||||
\(376\) | −25.5316 | − | 16.4081i | −1.31669 | − | 0.846185i | ||||
\(377\) | 8.11695 | + | 3.70689i | 0.418044 | + | 0.190914i | ||||
\(378\) | 16.0625 | − | 2.08259i | 0.826165 | − | 0.107117i | ||||
\(379\) | 0.246738 | − | 0.213799i | 0.0126741 | − | 0.0109821i | −0.648501 | − | 0.761214i | \(-0.724604\pi\) |
0.661175 | + | 0.750232i | \(0.270058\pi\) | |||||||
\(380\) | 18.9766 | − | 16.4433i | 0.973477 | − | 0.843523i | ||||
\(381\) | −21.1345 | + | 26.6206i | −1.08275 | + | 1.36382i | ||||
\(382\) | −1.74755 | − | 0.798079i | −0.0894124 | − | 0.0408333i | ||||
\(383\) | −15.7582 | − | 10.1272i | −0.805208 | − | 0.517476i | 0.0721034 | − | 0.997397i | \(-0.477029\pi\) |
−0.877312 | + | 0.479921i | \(0.840665\pi\) | |||||||
\(384\) | −8.05969 | − | 0.807208i | −0.411294 | − | 0.0411927i | ||||
\(385\) | 8.34215 | + | 1.19942i | 0.425155 | + | 0.0611281i | ||||
\(386\) | −57.2535 | + | 26.1468i | −2.91413 | + | 1.33084i | ||||
\(387\) | 25.3905 | + | 18.4365i | 1.29067 | + | 0.937181i | ||||
\(388\) | −33.6242 | − | 52.3203i | −1.70701 | − | 2.65616i | ||||
\(389\) | 12.0315 | − | 13.8851i | 0.610022 | − | 0.704003i | −0.363758 | − | 0.931493i | \(-0.618507\pi\) |
0.973780 | + | 0.227490i | \(0.0730520\pi\) | |||||||
\(390\) | 22.8335 | + | 9.26380i | 1.15622 | + | 0.469091i | ||||
\(391\) | −14.4052 | + | 5.77905i | −0.728502 | + | 0.292259i | ||||
\(392\) | − | 43.2459i | − | 2.18425i | ||||||
\(393\) | 26.1419 | − | 13.3245i | 1.31868 | − | 0.672133i | ||||
\(394\) | 6.00291 | − | 3.85783i | 0.302422 | − | 0.194355i | ||||
\(395\) | 6.48041 | − | 0.931743i | 0.326065 | − | 0.0468811i | ||||
\(396\) | 14.5117 | − | 40.7077i | 0.729243 | − | 2.04564i | ||||
\(397\) | −3.67728 | + | 25.5760i | −0.184557 | + | 1.28362i | 0.661262 | + | 0.750155i | \(0.270021\pi\) |
−0.845819 | + | 0.533469i | \(0.820888\pi\) | |||||||
\(398\) | −6.50880 | + | 1.91116i | −0.326257 | + | 0.0957977i | ||||
\(399\) | −3.49788 | + | 2.46655i | −0.175113 | + | 0.123482i | ||||
\(400\) | 4.11022 | − | 9.00012i | 0.205511 | − | 0.450006i | ||||
\(401\) | 10.3045 | + | 3.02568i | 0.514583 | + | 0.151095i | 0.528706 | − | 0.848805i | \(-0.322677\pi\) |
−0.0141228 | + | 0.999900i | \(0.504496\pi\) | |||||||
\(402\) | 18.3632 | − | 6.26070i | 0.915874 | − | 0.312255i | ||||
\(403\) | −5.71639 | − | 6.59707i | −0.284754 | − | 0.328624i | ||||
\(404\) | −11.8906 | + | 40.4956i | −0.591579 | + | 2.01473i | ||||
\(405\) | 20.2176 | + | 8.53081i | 1.00462 | + | 0.423900i | ||||
\(406\) | −6.78627 | + | 10.5596i | −0.336797 | + | 0.524067i | ||||
\(407\) | 8.20288 | + | 27.9364i | 0.406602 | + | 1.38476i | ||||
\(408\) | 21.8229 | − | 37.3981i | 1.08039 | − | 1.85148i | ||||
\(409\) | −10.4057 | − | 22.7852i | −0.514527 | − | 1.12666i | −0.971470 | − | 0.237162i | \(-0.923783\pi\) |
0.456943 | − | 0.889496i | \(-0.348944\pi\) | |||||||
\(410\) | 1.04866 | + | 7.29360i | 0.0517897 | + | 0.360205i | ||||
\(411\) | −4.93315 | − | 26.2477i | −0.243334 | − | 1.29471i | ||||
\(412\) | −67.3757 | − | 58.3814i | −3.31936 | − | 2.87624i | ||||
\(413\) | 3.59890 | 0.177090 | ||||||||
\(414\) | −6.85250 | − | 37.2596i | −0.336782 | − | 1.83121i | ||||
\(415\) | −15.5202 | −0.761857 | ||||||||
\(416\) | 20.3086 | + | 17.5975i | 0.995711 | + | 0.862788i | ||||
\(417\) | 1.41214 | + | 7.51358i | 0.0691530 | + | 0.367941i | ||||
\(418\) | 2.28413 | + | 15.8865i | 0.111720 | + | 0.777033i | ||||
\(419\) | 3.64785 | + | 7.98768i | 0.178209 | + | 0.390224i | 0.977565 | − | 0.210634i | \(-0.0675530\pi\) |
−0.799356 | + | 0.600858i | \(0.794826\pi\) | |||||||
\(420\) | −12.4304 | + | 21.3022i | −0.606543 | + | 1.03944i | ||||
\(421\) | 3.73788 | + | 12.7301i | 0.182173 | + | 0.620425i | 0.999049 | + | 0.0436108i | \(0.0138862\pi\) |
−0.816875 | + | 0.576814i | \(0.804296\pi\) | |||||||
\(422\) | −17.2619 | + | 26.8600i | −0.840296 | + | 1.30753i | ||||
\(423\) | 4.27952 | + | 10.9828i | 0.208078 | + | 0.534004i | ||||
\(424\) | −2.66596 | + | 9.07943i | −0.129471 | + | 0.440936i | ||||
\(425\) | 2.00237 | + | 2.31086i | 0.0971294 | + | 0.112093i | ||||
\(426\) | 32.4174 | − | 11.0523i | 1.57063 | − | 0.535485i | ||||
\(427\) | 0.857173 | + | 0.251689i | 0.0414815 | + | 0.0121801i | ||||
\(428\) | 27.6319 | − | 60.5055i | 1.33564 | − | 2.92464i | ||||
\(429\) | −9.15901 | + | 6.45852i | −0.442201 | + | 0.311820i | ||||
\(430\) | −64.4305 | + | 18.9185i | −3.10711 | + | 0.912331i | ||||
\(431\) | 0.785517 | − | 5.46339i | 0.0378370 | − | 0.263162i | −0.962118 | − | 0.272633i | \(-0.912106\pi\) |
0.999955 | + | 0.00947063i | \(0.00301464\pi\) | |||||||
\(432\) | 40.6272 | + | 36.2018i | 1.95468 | + | 1.74176i | ||||
\(433\) | 32.0231 | − | 4.60422i | 1.53893 | − | 0.221265i | 0.679945 | − | 0.733264i | \(-0.262004\pi\) |
0.858986 | + | 0.511999i | \(0.171095\pi\) | |||||||
\(434\) | 10.3299 | − | 6.63861i | 0.495850 | − | 0.318664i | ||||
\(435\) | −15.1513 | + | 7.72264i | −0.726451 | + | 0.370272i | ||||
\(436\) | − | 86.8404i | − | 4.15890i | ||||||
\(437\) | 6.19411 | + | 7.86475i | 0.296304 | + | 0.376222i | ||||
\(438\) | −6.74958 | − | 2.73838i | −0.322508 | − | 0.130845i | ||||
\(439\) | −9.71681 | + | 11.2138i | −0.463758 | + | 0.535205i | −0.938665 | − | 0.344831i | \(-0.887936\pi\) |
0.474907 | + | 0.880036i | \(0.342482\pi\) | |||||||
\(440\) | 29.7316 | + | 46.2632i | 1.41740 | + | 2.20551i | ||||
\(441\) | −9.86862 | + | 13.5909i | −0.469934 | + | 0.647187i | ||||
\(442\) | −17.1775 | + | 7.84468i | −0.817048 | + | 0.373133i | ||||
\(443\) | 30.1615 | + | 4.33657i | 1.43302 | + | 0.206037i | 0.814696 | − | 0.579889i | \(-0.196904\pi\) |
0.618321 | + | 0.785925i | \(0.287813\pi\) | |||||||
\(444\) | −84.7812 | − | 8.49115i | −4.02354 | − | 0.402972i | ||||
\(445\) | −11.0907 | − | 7.12756i | −0.525750 | − | 0.337879i | ||||
\(446\) | −30.3426 | − | 13.8570i | −1.43676 | − | 0.656148i | ||||
\(447\) | −2.36823 | + | 2.98298i | −0.112013 | + | 0.141090i | ||||
\(448\) | −9.82940 | + | 8.51722i | −0.464395 | + | 0.402401i | ||||
\(449\) | −29.6680 | + | 25.7075i | −1.40012 | + | 1.21321i | −0.453339 | + | 0.891338i | \(0.649767\pi\) |
−0.946783 | + | 0.321874i | \(0.895687\pi\) | |||||||
\(450\) | −6.49765 | + | 3.67177i | −0.306302 | + | 0.173089i | ||||
\(451\) | −3.04849 | − | 1.39220i | −0.143548 | − | 0.0655561i | ||||
\(452\) | 39.2881 | + | 25.2489i | 1.84796 | + | 1.18761i | ||||
\(453\) | −0.543811 | + | 5.42976i | −0.0255505 | + | 0.255112i | ||||
\(454\) | 71.9486 | + | 10.3446i | 3.37672 | + | 0.485498i | ||||
\(455\) | 5.81787 | − | 2.65693i | 0.272746 | − | 0.124559i | ||||
\(456\) | −27.1100 | − | 6.70962i | −1.26954 | − | 0.314207i | ||||
\(457\) | 8.39021 | + | 13.0554i | 0.392478 | + | 0.610707i | 0.980118 | − | 0.198415i | \(-0.0635794\pi\) |
−0.587640 | + | 0.809122i | \(0.699943\pi\) | |||||||
\(458\) | −8.02893 | + | 9.26588i | −0.375167 | + | 0.432966i | ||||
\(459\) | −15.3925 | + | 6.77321i | −0.718458 | + | 0.316146i | ||||
\(460\) | 51.2945 | + | 26.3972i | 2.39162 | + | 1.23078i | ||||
\(461\) | 2.94618i | 0.137217i | 0.997644 | + | 0.0686087i | \(0.0218560\pi\) | ||||
−0.997644 | + | 0.0686087i | \(0.978144\pi\) | |||||||
\(462\) | −7.15904 | − | 14.0456i | −0.333069 | − | 0.653460i | ||||
\(463\) | 7.60961 | − | 4.89040i | 0.353649 | − | 0.227276i | −0.351739 | − | 0.936098i | \(-0.614409\pi\) |
0.705387 | + | 0.708822i | \(0.250773\pi\) | |||||||
\(464\) | −41.7423 | + | 6.00163i | −1.93784 | + | 0.278619i | ||||
\(465\) | 16.6205 | − | 0.714771i | 0.770759 | − | 0.0331467i | ||||
\(466\) | −1.50236 | + | 10.4492i | −0.0695955 | + | 0.484048i | ||||
\(467\) | 28.9413 | − | 8.49795i | 1.33925 | − | 0.393238i | 0.467845 | − | 0.883810i | \(-0.345030\pi\) |
0.871400 | + | 0.490572i | \(0.163212\pi\) | |||||||
\(468\) | −7.43725 | − | 31.9425i | −0.343787 | − | 1.47654i | ||||
\(469\) | 2.09193 | − | 4.58069i | 0.0965963 | − | 0.211516i | ||||
\(470\) | −24.2033 | − | 7.10672i | −1.11641 | − | 0.327809i | ||||
\(471\) | −8.31934 | − | 24.4014i | −0.383335 | − | 1.12436i | ||||
\(472\) | 15.3782 | + | 17.7474i | 0.707841 | + | 0.816892i | ||||
\(473\) | 8.60440 | − | 29.3039i | 0.395631 | − | 1.34739i | ||||
\(474\) | −8.41005 | − | 8.90222i | −0.386287 | − | 0.408892i | ||||
\(475\) | 1.06625 | − | 1.65912i | 0.0489230 | − | 0.0761257i | ||||
\(476\) | −5.32510 | − | 18.1356i | −0.244076 | − | 0.831245i | ||||
\(477\) | 2.90974 | − | 2.24503i | 0.133228 | − | 0.102793i | ||||
\(478\) | 8.72609 | + | 19.1075i | 0.399122 | + | 0.873955i | ||||
\(479\) | 0.258169 | + | 1.79560i | 0.0117960 | + | 0.0820432i | 0.994869 | − | 0.101171i | \(-0.0322589\pi\) |
−0.983073 | + | 0.183214i | \(0.941350\pi\) | |||||||
\(480\) | −50.3312 | + | 9.45953i | −2.29729 | + | 0.431766i | ||||
\(481\) | 16.6988 | + | 14.4696i | 0.761399 | + | 0.659756i | ||||
\(482\) | −34.6991 | −1.58050 | ||||||||
\(483\) | −8.25151 | − | 5.34849i | −0.375457 | − | 0.243365i | ||||
\(484\) | 12.2044 | 0.554744 | ||||||||
\(485\) | −23.2292 | − | 20.1282i | −1.05478 | − | 0.913975i | ||||
\(486\) | −8.75298 | − | 40.1027i | −0.397043 | − | 1.81910i | ||||
\(487\) | −0.514253 | − | 3.57671i | −0.0233030 | − | 0.162076i | 0.974847 | − | 0.222875i | \(-0.0715442\pi\) |
−0.998150 | + | 0.0607991i | \(0.980635\pi\) | |||||||
\(488\) | 2.42157 | + | 5.30249i | 0.109619 | + | 0.240033i | ||||
\(489\) | −7.29882 | − | 4.25907i | −0.330064 | − | 0.192602i | ||||
\(490\) | −10.1266 | − | 34.4881i | −0.457474 | − | 1.55801i | ||||
\(491\) | 6.47730 | − | 10.0789i | 0.292317 | − | 0.454854i | −0.663770 | − | 0.747936i | \(-0.731045\pi\) |
0.956087 | + | 0.293083i | \(0.0946812\pi\) | |||||||
\(492\) | 7.12919 | − | 6.73505i | 0.321409 | − | 0.303639i | ||||
\(493\) | 3.67172 | − | 12.5047i | 0.165366 | − | 0.563185i | ||||
\(494\) | 7.97622 | + | 9.20505i | 0.358867 | + | 0.414155i | ||||
\(495\) | 1.21340 | − | 21.3239i | 0.0545383 | − | 0.958436i | ||||
\(496\) | 39.5828 | + | 11.6226i | 1.77732 | + | 0.521869i | ||||
\(497\) | 3.69298 | − | 8.08649i | 0.165653 | − | 0.362729i | ||||
\(498\) | 16.7303 | + | 23.7257i | 0.749704 | + | 1.06318i | ||||
\(499\) | −2.41596 | + | 0.709391i | −0.108153 | + | 0.0317567i | −0.335361 | − | 0.942090i | \(-0.608858\pi\) |
0.227208 | + | 0.973846i | \(0.427040\pi\) | |||||||
\(500\) | −6.94204 | + | 48.2829i | −0.310457 | + | 2.15928i | ||||
\(501\) | 1.08365 | + | 25.1981i | 0.0484140 | + | 1.12577i | ||||
\(502\) | −18.5979 | + | 2.67398i | −0.830065 | + | 0.119345i | ||||
\(503\) | 4.81463 | − | 3.09418i | 0.214674 | − | 0.137962i | −0.428885 | − | 0.903359i | \(-0.641093\pi\) |
0.643559 | + | 0.765397i | \(0.277457\pi\) | |||||||
\(504\) | 27.3308 | − | 2.35509i | 1.21741 | − | 0.104904i | ||||
\(505\) | 20.8583i | 0.928183i | ||||||||
\(506\) | −31.9204 | + | 18.4600i | −1.41903 | + | 0.820647i | ||||
\(507\) | 5.26768 | − | 12.9838i | 0.233946 | − | 0.576631i | ||||
\(508\) | −63.4009 | + | 73.1686i | −2.81296 | + | 3.24633i | ||||
\(509\) | 21.3835 | + | 33.2733i | 0.947805 | + | 1.47481i | 0.878796 | + | 0.477198i | \(0.158347\pi\) |
0.0690090 | + | 0.997616i | \(0.478016\pi\) | |||||||
\(510\) | 8.64619 | − | 34.9347i | 0.382860 | − | 1.54693i | ||||
\(511\) | −1.71976 | + | 0.785390i | −0.0760779 | + | 0.0347436i | ||||
\(512\) | 34.4345 | + | 4.95093i | 1.52180 | + | 0.218802i | ||||
\(513\) | 6.98876 | + | 8.29508i | 0.308561 | + | 0.366237i | ||||
\(514\) | 29.2840 | + | 18.8197i | 1.29166 | + | 0.830100i | ||||
\(515\) | −40.0778 | − | 18.3029i | −1.76604 | − | 0.806523i | ||||
\(516\) | 69.9982 | + | 55.5726i | 3.08150 | + | 2.44645i | ||||
\(517\) | 8.67050 | − | 7.51303i | 0.381328 | − | 0.330423i | ||||
\(518\) | −23.4898 | + | 20.3540i | −1.03208 | + | 0.894306i | ||||
\(519\) | −30.7688 | − | 24.4278i | −1.35060 | − | 1.07226i | ||||
\(520\) | 37.9623 | + | 17.3368i | 1.66476 | + | 0.760269i | ||||
\(521\) | −14.0340 | − | 9.01911i | −0.614841 | − | 0.395135i | 0.195828 | − | 0.980638i | \(-0.437260\pi\) |
−0.810670 | + | 0.585504i | \(0.800897\pi\) | |||||||
\(522\) | 28.1383 | + | 14.8371i | 1.23158 | + | 0.649401i | ||||
\(523\) | −26.5508 | − | 3.81743i | −1.16099 | − | 0.166925i | −0.465221 | − | 0.885194i | \(-0.654025\pi\) |
−0.695765 | + | 0.718270i | \(0.744934\pi\) | |||||||
\(524\) | 76.0233 | − | 34.7187i | 3.32109 | − | 1.51669i | ||||
\(525\) | −0.465403 | + | 1.88045i | −0.0203118 | + | 0.0820694i | ||||
\(526\) | 11.3163 | + | 17.6084i | 0.493412 | + | 0.767765i | ||||
\(527\) | −8.34887 | + | 9.63511i | −0.363682 | + | 0.419712i | ||||
\(528\) | 19.9120 | − | 49.0792i | 0.866559 | − | 2.13590i | ||||
\(529\) | −11.4712 | + | 19.9352i | −0.498748 | + | 0.866747i | ||||
\(530\) | 7.86500i | 0.341634i | ||||||||
\(531\) | −0.783007 | − | 9.08678i | −0.0339796 | − | 0.394333i | ||||
\(532\) | −10.2559 | + | 6.59105i | −0.444649 | + | 0.285758i | ||||
\(533\) | −2.51741 | + | 0.361948i | −0.109041 | + | 0.0156777i | ||||
\(534\) | 1.05955 | + | 24.6377i | 0.0458512 | + | 1.06618i | ||||
\(535\) | 4.67835 | − | 32.5386i | 0.202262 | − | 1.40677i | ||||
\(536\) | 31.5279 | − | 9.25741i | 1.36180 | − | 0.399859i | ||||
\(537\) | 1.27620 | + | 1.80981i | 0.0550719 | + | 0.0780990i | ||||
\(538\) | −16.7272 | + | 36.6275i | −0.721161 | + | 1.57912i | ||||
\(539\) | 15.6857 | + | 4.60573i | 0.675629 | + | 0.198383i | ||||
\(540\) | 56.4899 | + | 26.7506i | 2.43094 | + | 1.15116i | ||||
\(541\) | −15.6275 | − | 18.0351i | −0.671877 | − | 0.775387i | 0.312792 | − | 0.949822i | \(-0.398736\pi\) |
−0.984669 | + | 0.174434i | \(0.944190\pi\) | |||||||
\(542\) | 17.8219 | − | 60.6957i | 0.765515 | − | 2.60710i | ||||
\(543\) | −15.8487 | + | 14.9725i | −0.680133 | + | 0.642531i | ||||
\(544\) | 21.2186 | − | 33.0167i | 0.909739 | − | 1.41558i | ||||
\(545\) | −12.0913 | − | 41.1791i | −0.517933 | − | 1.76392i | ||||
\(546\) | −10.3332 | − | 6.02969i | −0.442218 | − | 0.258047i | ||||
\(547\) | −6.24863 | − | 13.6826i | −0.267172 | − | 0.585026i | 0.727731 | − | 0.685863i | \(-0.240575\pi\) |
−0.994903 | + | 0.100837i | \(0.967848\pi\) | |||||||
\(548\) | −10.8262 | − | 75.2976i | −0.462471 | − | 3.21656i | ||||
\(549\) | 0.448989 | − | 2.21901i | 0.0191624 | − | 0.0947052i | ||||
\(550\) | 5.48994 | + | 4.75706i | 0.234092 | + | 0.202842i | ||||
\(551\) | −8.40597 | −0.358106 | ||||||||
\(552\) | −8.88373 | − | 63.5454i | −0.378117 | − | 2.70467i | ||||
\(553\) | −3.17872 | −0.135173 | ||||||||
\(554\) | 13.5202 | + | 11.7153i | 0.574417 | + | 0.497736i | ||||
\(555\) | −41.3849 | + | 7.77811i | −1.75669 | + | 0.330162i | ||||
\(556\) | 3.09906 | + | 21.5544i | 0.131429 | + | 0.914111i | ||||
\(557\) | −7.59998 | − | 16.6416i | −0.322022 | − | 0.705129i | 0.677517 | − | 0.735507i | \(-0.263056\pi\) |
−0.999538 | + | 0.0303782i | \(0.990329\pi\) | |||||||
\(558\) | −19.0091 | − | 24.6373i | −0.804721 | − | 1.04298i | ||||
\(559\) | −6.52977 | − | 22.2384i | −0.276180 | − | 0.940582i | ||||
\(560\) | −16.3418 | + | 25.4283i | −0.690566 | + | 1.07454i | ||||
\(561\) | 11.2405 | + | 11.8983i | 0.474573 | + | 0.502345i | ||||
\(562\) | 20.7939 | − | 70.8176i | 0.877139 | − | 2.98726i | ||||
\(563\) | 19.4599 | + | 22.4579i | 0.820136 | + | 0.946487i | 0.999303 | − | 0.0373318i | \(-0.0118858\pi\) |
−0.179167 | + | 0.983819i | \(0.557340\pi\) | |||||||
\(564\) | 10.8343 | + | 31.7779i | 0.456205 | + | 1.33809i | ||||
\(565\) | 22.1457 | + | 6.50256i | 0.931676 | + | 0.273565i | ||||
\(566\) | −17.4239 | + | 38.1530i | −0.732381 | + | 1.60369i | ||||
\(567\) | −9.12669 | − | 5.49669i | −0.383285 | − | 0.230839i | ||||
\(568\) | 55.6575 | − | 16.3425i | 2.33534 | − | 0.685717i | ||||
\(569\) | −1.51930 | + | 10.5670i | −0.0636924 | + | 0.442991i | 0.932875 | + | 0.360201i | \(0.117292\pi\) |
−0.996567 | + | 0.0827894i | \(0.973617\pi\) | |||||||
\(570\) | −23.1910 | + | 0.997336i | −0.971365 | + | 0.0417738i | ||||
\(571\) | 32.0790 | − | 4.61226i | 1.34246 | − | 0.193017i | 0.566639 | − | 0.823966i | \(-0.308243\pi\) |
0.775825 | + | 0.630949i | \(0.217334\pi\) | |||||||
\(572\) | −26.8544 | + | 17.2583i | −1.12284 | + | 0.721606i | ||||
\(573\) | 0.573870 | + | 1.12590i | 0.0239737 | + | 0.0470350i | ||||
\(574\) | − | 3.57760i | − | 0.149326i | ||||||
\(575\) | 4.44979 | + | 0.854293i | 0.185569 | + | 0.0356265i | ||||
\(576\) | 23.6435 | + | 22.9649i | 0.985146 | + | 0.956872i | ||||
\(577\) | 28.3130 | − | 32.6749i | 1.17868 | − | 1.36027i | 0.259841 | − | 0.965651i | \(-0.416330\pi\) |
0.918843 | − | 0.394623i | \(-0.129125\pi\) | |||||||
\(578\) | −9.29003 | − | 14.4556i | −0.386414 | − | 0.601272i | ||||
\(579\) | 40.1893 | + | 9.94670i | 1.67021 | + | 0.413371i | ||||
\(580\) | −44.0617 | + | 20.1223i | −1.82956 | + | 0.835532i | ||||
\(581\) | 7.45866 | + | 1.07239i | 0.309437 | + | 0.0444903i | ||||
\(582\) | −5.72961 | + | 57.2081i | −0.237500 | + | 2.37135i | ||||
\(583\) | −3.00926 | − | 1.93393i | −0.124631 | − | 0.0800953i | ||||
\(584\) | −11.2217 | − | 5.12476i | −0.464355 | − | 0.212064i | ||||
\(585\) | −7.97422 | − | 14.1114i | −0.329693 | − | 0.583433i | ||||
\(586\) | −19.9783 | + | 17.3113i | −0.825296 | + | 0.715123i | ||||
\(587\) | −20.7356 | + | 17.9675i | −0.855848 | + | 0.741596i | −0.967694 | − | 0.252129i | \(-0.918869\pi\) |
0.111846 | + | 0.993726i | \(0.464324\pi\) | |||||||
\(588\) | −29.7467 | + | 37.4684i | −1.22673 | + | 1.54517i | ||||
\(589\) | 7.47996 | + | 3.41598i | 0.308206 | + | 0.140753i | ||||
\(590\) | 16.4198 | + | 10.5523i | 0.675991 | + | 0.434433i | ||||
\(591\) | −4.67038 | − | 0.467756i | −0.192114 | − | 0.0192409i | ||||
\(592\) | −103.361 | − | 14.8610i | −4.24810 | − | 0.610784i | ||||
\(593\) | −21.4650 | + | 9.80276i | −0.881464 | + | 0.402551i | −0.804129 | − | 0.594454i | \(-0.797368\pi\) |
−0.0773343 | + | 0.997005i | \(0.524641\pi\) | |||||||
\(594\) | −33.9058 | + | 21.1316i | −1.39117 | + | 0.867039i | ||||
\(595\) | −5.05025 | − | 7.85834i | −0.207040 | − | 0.322160i | ||||
\(596\) | −7.10440 | + | 8.19891i | −0.291008 | + | 0.335841i | ||||
\(597\) | 4.13481 | + | 1.67754i | 0.169226 | + | 0.0686570i | ||||
\(598\) | −12.8046 | + | 24.8816i | −0.523620 | + | 1.01749i | ||||
\(599\) | − | 9.40500i | − | 0.384278i | −0.981368 | − | 0.192139i | \(-0.938458\pi\) | ||
0.981368 | − | 0.192139i | \(-0.0615424\pi\) | |||||||
\(600\) | −11.2618 | + | 5.74015i | −0.459762 | + | 0.234341i | ||||
\(601\) | −31.1249 | + | 20.0028i | −1.26961 | + | 0.815930i | −0.989569 | − | 0.144057i | \(-0.953985\pi\) |
−0.280043 | + | 0.959988i | \(0.590349\pi\) | |||||||
\(602\) | 32.2710 | − | 4.63987i | 1.31527 | − | 0.189107i | ||||
\(603\) | −12.0208 | − | 4.28525i | −0.489525 | − | 0.174509i | ||||
\(604\) | −2.21204 | + | 15.3851i | −0.0900066 | + | 0.626010i | ||||
\(605\) | 5.78722 | − | 1.69928i | 0.235284 | − | 0.0690857i | ||||
\(606\) | 31.8861 | − | 22.4847i | 1.29529 | − | 0.913377i | ||||
\(607\) | 0.746506 | − | 1.63462i | 0.0302997 | − | 0.0663472i | −0.893877 | − | 0.448312i | \(-0.852025\pi\) |
0.924177 | + | 0.381965i | \(0.124753\pi\) | |||||||
\(608\) | −24.2887 | − | 7.13180i | −0.985037 | − | 0.289233i | ||||
\(609\) | 7.81499 | − | 2.66442i | 0.316679 | − | 0.107968i | ||||
\(610\) | 3.17282 | + | 3.66163i | 0.128464 | + | 0.148255i | ||||
\(611\) | 2.45290 | − | 8.35382i | 0.0992339 | − | 0.337960i | ||||
\(612\) | −44.6317 | + | 17.3910i | −1.80413 | + | 0.702988i | ||||
\(613\) | 15.9648 | − | 24.8418i | 0.644814 | − | 1.00335i | −0.352892 | − | 0.935664i | \(-0.614802\pi\) |
0.997707 | − | 0.0676866i | \(-0.0215618\pi\) | |||||||
\(614\) | −10.3203 | − | 35.1478i | −0.416494 | − | 1.41845i | ||||
\(615\) | 2.44285 | − | 4.18635i | 0.0985053 | − | 0.168810i | ||||
\(616\) | −11.0917 | − | 24.2874i | −0.446897 | − | 0.978568i | ||||
\(617\) | −5.04595 | − | 35.0953i | −0.203142 | − | 1.41289i | −0.794886 | − | 0.606759i | \(-0.792469\pi\) |
0.591744 | − | 0.806126i | \(-0.298440\pi\) | |||||||
\(618\) | 15.2230 | + | 80.9970i | 0.612360 | + | 3.25818i | ||||
\(619\) | 14.4871 | + | 12.5531i | 0.582285 | + | 0.504553i | 0.895460 | − | 0.445142i | \(-0.146847\pi\) |
−0.313174 | + | 0.949696i | \(0.601392\pi\) | |||||||
\(620\) | 47.3850 | 1.90303 | ||||||||
\(621\) | −11.7090 | + | 21.9977i | −0.469867 | + | 0.882737i | ||||
\(622\) | −51.8111 | −2.07744 | ||||||||
\(623\) | 4.83745 | + | 4.19168i | 0.193808 | + | 0.167936i | ||||
\(624\) | −7.42434 | − | 39.5026i | −0.297212 | − | 1.58137i | ||||
\(625\) | 4.10312 | + | 28.5379i | 0.164125 | + | 1.14151i | ||||
\(626\) | 20.3926 | + | 44.6535i | 0.815051 | + | 1.78471i | ||||
\(627\) | 5.32087 | − | 9.11845i | 0.212495 | − | 0.364156i | ||||
\(628\) | −20.6883 | − | 70.4579i | −0.825553 | − | 2.81158i | ||||
\(629\) | 17.4470 | − | 27.1481i | 0.695657 | − | 1.08246i | ||||
\(630\) | 21.2445 | − | 8.27802i | 0.846400 | − | 0.329804i | ||||
\(631\) | 3.47087 | − | 11.8207i | 0.138173 | − | 0.470575i | −0.861111 | − | 0.508418i | \(-0.830231\pi\) |
0.999284 | + | 0.0378432i | \(0.0120487\pi\) | |||||||
\(632\) | −13.5828 | − | 15.6754i | −0.540294 | − | 0.623533i | ||||
\(633\) | 19.8786 | − | 6.77735i | 0.790103 | − | 0.269375i | ||||
\(634\) | −47.3659 | − | 13.9079i | −1.88114 | − | 0.552352i | ||||
\(635\) | −19.8766 | + | 43.5237i | −0.788779 | + | 1.72718i | ||||
\(636\) | 8.55508 | − | 6.03266i | 0.339231 | − | 0.239210i | ||||
\(637\) | 11.9037 | − | 3.49523i | 0.471640 | − | 0.138486i | ||||
\(638\) | 4.40632 | − | 30.6467i | 0.174448 | − | 1.21331i | ||||
\(639\) | −21.2209 | − | 7.56494i | −0.839484 | − | 0.299265i | ||||
\(640\) | −11.2863 | + | 1.62272i | −0.446129 | + | 0.0641436i | ||||
\(641\) | −2.79195 | + | 1.79428i | −0.110276 | + | 0.0708698i | −0.594616 | − | 0.804010i | \(-0.702696\pi\) |
0.484341 | + | 0.874880i | \(0.339060\pi\) | |||||||
\(642\) | −54.7849 | + | 27.9239i | −2.16219 | + | 1.10207i | ||||
\(643\) | 44.4160i | 1.75160i | 0.482677 | + | 0.875798i | \(0.339664\pi\) | ||||
−0.482677 | + | 0.875798i | \(0.660336\pi\) | |||||||
\(644\) | −22.8270 | − | 16.2302i | −0.899509 | − | 0.639559i | ||||
\(645\) | 40.9303 | + | 16.6059i | 1.61163 | + | 0.653857i | ||||
\(646\) | 11.6494 | − | 13.4441i | 0.458338 | − | 0.528950i | ||||
\(647\) | 4.93388 | + | 7.67727i | 0.193971 | + | 0.301825i | 0.924592 | − | 0.380958i | \(-0.124406\pi\) |
−0.730621 | + | 0.682783i | \(0.760769\pi\) | |||||||
\(648\) | −11.8926 | − | 68.4945i | −0.467186 | − | 2.69072i | ||||
\(649\) | −8.07494 | + | 3.68770i | −0.316969 | + | 0.144755i | ||||
\(650\) | 5.45662 | + | 0.784544i | 0.214026 | + | 0.0307724i | ||||
\(651\) | −8.03684 | − | 0.804920i | −0.314989 | − | 0.0315473i | ||||
\(652\) | −20.2492 | − | 13.0134i | −0.793020 | − | 0.509643i | ||||
\(653\) | 1.05384 | + | 0.481271i | 0.0412398 | + | 0.0188336i | 0.435928 | − | 0.899981i | \(-0.356420\pi\) |
−0.394688 | + | 0.918815i | \(0.629147\pi\) | |||||||
\(654\) | −49.9164 | + | 62.8738i | −1.95189 | + | 2.45856i | ||||
\(655\) | 31.2156 | − | 27.0485i | 1.21969 | − | 1.05687i | ||||
\(656\) | 9.08377 | − | 7.87113i | 0.354662 | − | 0.307316i | ||||
\(657\) | 2.35718 | + | 4.17132i | 0.0919624 | + | 0.162739i | ||||
\(658\) | 11.1405 | + | 5.08769i | 0.434302 | + | 0.198339i | ||||
\(659\) | −15.5191 | − | 9.97355i | −0.604540 | − | 0.388514i | 0.202266 | − | 0.979331i | \(-0.435169\pi\) |
−0.806806 | + | 0.590816i | \(0.798806\pi\) | |||||||
\(660\) | 6.06265 | − | 60.5334i | 0.235988 | − | 2.35626i | ||||
\(661\) | 22.3904 | + | 3.21925i | 0.870884 | + | 0.125214i | 0.563246 | − | 0.826289i | \(-0.309552\pi\) |
0.307638 | + | 0.951503i | \(0.400461\pi\) | |||||||
\(662\) | 12.0706 | − | 5.51248i | 0.469139 | − | 0.214249i | ||||
\(663\) | 12.0578 | + | 2.98425i | 0.468286 | + | 0.115899i | ||||
\(664\) | 26.5828 | + | 41.3636i | 1.03161 | + | 1.60522i | ||||
\(665\) | −3.94555 | + | 4.55341i | −0.153002 | + | 0.176574i | ||||
\(666\) | 56.5021 | + | 54.8805i | 2.18941 | + | 2.12658i | ||||
\(667\) | −7.19064 | − | 17.9238i | −0.278423 | − | 0.694012i | ||||
\(668\) | 71.8396i | 2.77956i | ||||||||
\(669\) | 9.96406 | + | 19.5489i | 0.385233 | + | 0.755803i | ||||
\(670\) | 22.9753 | − | 14.7653i | 0.887614 | − | 0.570435i | ||||
\(671\) | −2.18116 | + | 0.313603i | −0.0842027 | + | 0.0121065i | ||||
\(672\) | 24.8416 | − | 1.06832i | 0.958287 | − | 0.0412114i | ||||
\(673\) | 3.80767 | − | 26.4829i | 0.146775 | − | 1.02084i | −0.774679 | − | 0.632354i | \(-0.782089\pi\) |
0.921454 | − | 0.388487i | \(-0.127002\pi\) | |||||||
\(674\) | 37.8456 | − | 11.1125i | 1.45776 | − | 0.428037i | ||||
\(675\) | 4.84915 | + | 0.765959i | 0.186644 | + | 0.0294818i | ||||
\(676\) | 16.5794 | − | 36.3037i | 0.637668 | − | 1.39630i | ||||
\(677\) | 22.3879 | + | 6.57368i | 0.860437 | + | 0.252647i | 0.682043 | − | 0.731312i | \(-0.261092\pi\) |
0.178394 | + | 0.983959i | \(0.442910\pi\) | |||||||
\(678\) | −13.9319 | − | 40.8637i | −0.535053 | − | 1.56936i | ||||
\(679\) | 9.77263 | + | 11.2782i | 0.375039 | + | 0.432818i | ||||
\(680\) | 17.1723 | − | 58.4835i | 0.658528 | − | 2.24274i | ||||
\(681\) | −32.8348 | − | 34.7563i | −1.25823 | − | 1.33186i | ||||
\(682\) | −16.3750 | + | 25.4800i | −0.627031 | + | 0.975679i | ||||
\(683\) | 11.7836 | + | 40.1313i | 0.450888 | + | 1.53558i | 0.800877 | + | 0.598828i | \(0.204367\pi\) |
−0.349990 | + | 0.936753i | \(0.613815\pi\) | |||||||
\(684\) | 18.8730 | + | 24.4608i | 0.721625 | + | 0.935283i | ||||
\(685\) | −15.6178 | − | 34.1982i | −0.596725 | − | 1.30665i | ||||
\(686\) | 5.58888 | + | 38.8715i | 0.213384 | + | 1.48412i | ||||
\(687\) | 7.92601 | − | 1.48966i | 0.302396 | − | 0.0568341i | ||||
\(688\) | 82.7810 | + | 71.7301i | 3.15599 | + | 2.73469i | ||||
\(689\) | −2.71463 | −0.103419 | ||||||||
\(690\) | −21.9647 | − | 48.5964i | −0.836181 | − | 1.85003i | ||||
\(691\) | −41.2661 | −1.56984 | −0.784919 | − | 0.619599i | \(-0.787295\pi\) | ||||
−0.784919 | + | 0.619599i | \(0.787295\pi\) | |||||||
\(692\) | −84.5701 | − | 73.2804i | −3.21487 | − | 2.78570i | ||||
\(693\) | −2.05654 | + | 10.1639i | −0.0781214 | + | 0.386095i | ||||
\(694\) | −0.814435 | − | 5.66452i | −0.0309155 | − | 0.215022i | ||||
\(695\) | 4.47069 | + | 9.78945i | 0.169583 | + | 0.371335i | ||||
\(696\) | 46.5329 | + | 27.1533i | 1.76383 | + | 1.02924i | ||||
\(697\) | 1.04650 | + | 3.56405i | 0.0396390 | + | 0.134998i | ||||
\(698\) | 3.90202 | − | 6.07166i | 0.147694 | − | 0.229816i | ||||
\(699\) | 5.04769 | − | 4.76862i | 0.190921 | − | 0.180366i | ||||
\(700\) | −1.55454 | + | 5.29428i | −0.0587561 | + | 0.200105i | ||||
\(701\) | −4.20740 | − | 4.85560i | −0.158911 | − | 0.183393i | 0.670710 | − | 0.741719i | \(-0.265989\pi\) |
−0.829622 | + | 0.558326i | \(0.811444\pi\) | |||||||
\(702\) | −12.9761 | + | 27.4018i | −0.489750 | + | 1.03421i | ||||
\(703\) | −19.9714 | − | 5.86414i | −0.753236 | − | 0.221170i | ||||
\(704\) | 13.3271 | − | 29.1822i | 0.502283 | − | 1.09985i | ||||
\(705\) | 9.56214 | + | 13.5603i | 0.360131 | + | 0.510712i | ||||
\(706\) | −3.94502 | + | 1.15836i | −0.148473 | + | 0.0435955i | ||||
\(707\) | 1.44124 | − | 10.0240i | 0.0542034 | − | 0.376993i | ||||
\(708\) | −1.11617 | − | 25.9543i | −0.0419483 | − | 0.975423i | ||||
\(709\) | 11.5839 | − | 1.66551i | 0.435042 | − | 0.0625496i | 0.0786851 | − | 0.996900i | \(-0.474928\pi\) |
0.356357 | + | 0.934350i | \(0.384019\pi\) | |||||||
\(710\) | 40.5594 | − | 26.0659i | 1.52217 | − | 0.978236i | ||||
\(711\) | 0.691589 | + | 8.02588i | 0.0259366 | + | 0.300994i | ||||
\(712\) | 41.7664i | 1.56526i | ||||||||
\(713\) | −0.885290 | + | 18.8714i | −0.0331544 | + | 0.706739i | ||||
\(714\) | −6.56903 | + | 16.1914i | −0.245840 | + | 0.605947i | ||||
\(715\) | −10.3312 | + | 11.9229i | −0.386365 | + | 0.445889i | ||||
\(716\) | 3.41022 | + | 5.30641i | 0.127446 | + | 0.198310i | ||||
\(717\) | 3.31956 | − | 13.4126i | 0.123971 | − | 0.500902i | ||||
\(718\) | 64.1131 | − | 29.2795i | 2.39268 | − | 1.09270i | ||||
\(719\) | 3.69387 | + | 0.531098i | 0.137758 | + | 0.0198066i | 0.210849 | − | 0.977519i | \(-0.432377\pi\) |
−0.0730908 | + | 0.997325i | \(0.523286\pi\) | |||||||
\(720\) | 67.7588 | + | 35.7286i | 2.52522 | + | 1.33153i | ||||
\(721\) | 17.9958 | + | 11.5652i | 0.670199 | + | 0.430711i | ||||
\(722\) | 35.0719 | + | 16.0168i | 1.30524 | + | 0.596083i | ||||
\(723\) | 17.8759 | + | 14.1920i | 0.664813 | + | 0.527805i | ||||
\(724\) | −46.9334 | + | 40.6681i | −1.74427 | + | 1.51142i | ||||
\(725\) | −2.87531 | + | 2.49147i | −0.106786 | + | 0.0925309i | ||||
\(726\) | −8.83615 | − | 7.01516i | −0.327940 | − | 0.260357i | ||||
\(727\) | 19.4280 | + | 8.87248i | 0.720546 | + | 0.329062i | 0.741716 | − | 0.670714i | \(-0.234012\pi\) |
−0.0211707 | + | 0.999776i | \(0.506739\pi\) | |||||||
\(728\) | −17.0459 | − | 10.9547i | −0.631763 | − | 0.406009i | ||||
\(729\) | −11.8928 | + | 24.2397i | −0.440473 | + | 0.897766i | ||||
\(730\) | −10.1492 | − | 1.45923i | −0.375637 | − | 0.0540085i | ||||
\(731\) | −30.7916 | + | 14.0620i | −1.13887 | + | 0.520103i | ||||
\(732\) | 1.54927 | − | 6.25976i | 0.0572625 | − | 0.231368i | ||||
\(733\) | 7.60655 | + | 11.8360i | 0.280955 | + | 0.437174i | 0.952836 | − | 0.303485i | \(-0.0981501\pi\) |
−0.671882 | + | 0.740658i | \(0.734514\pi\) | |||||||
\(734\) | 29.5132 | − | 34.0601i | 1.08935 | − | 1.25718i | ||||
\(735\) | −8.88874 | + | 21.9090i | −0.327866 | + | 0.808126i | ||||
\(736\) | −5.57011 | − | 57.8907i | −0.205317 | − | 2.13388i | ||||
\(737\) | 12.4213i | 0.457546i | ||||||||
\(738\) | −9.03300 | + | 0.778372i | −0.332509 | + | 0.0286523i | ||||
\(739\) | 15.2241 | − | 9.78393i | 0.560027 | − | 0.359908i | −0.229799 | − | 0.973238i | \(-0.573807\pi\) |
0.789826 | + | 0.613330i | \(0.210171\pi\) | |||||||
\(740\) | −118.722 | + | 17.0696i | −4.36431 | + | 0.627493i | ||||
\(741\) | −0.344233 | − | 8.00444i | −0.0126457 | − | 0.294051i | ||||
\(742\) | 0.543445 | − | 3.77974i | 0.0199505 | − | 0.138759i | ||||
\(743\) | −24.1853 | + | 7.10146i | −0.887274 | + | 0.260527i | −0.693446 | − | 0.720508i | \(-0.743909\pi\) |
−0.193828 | + | 0.981036i | \(0.562090\pi\) | |||||||
\(744\) | −30.3724 | − | 43.0719i | −1.11351 | − | 1.57909i | ||||
\(745\) | −2.22727 | + | 4.87705i | −0.0816010 | + | 0.178681i | ||||
\(746\) | −28.1480 | − | 8.26499i | −1.03057 | − | 0.302603i | ||||
\(747\) | 1.08489 | − | 19.0655i | 0.0396941 | − | 0.697570i | ||||
\(748\) | 30.5312 | + | 35.2349i | 1.11633 | + | 1.28831i | ||||
\(749\) | −4.49661 | + | 15.3141i | −0.164303 | + | 0.559563i | ||||
\(750\) | 32.7795 | − | 30.9673i | 1.19694 | − | 1.13076i | ||||
\(751\) | 8.63469 | − | 13.4358i | 0.315084 | − | 0.490281i | −0.647202 | − | 0.762318i | \(-0.724061\pi\) |
0.962287 | + | 0.272037i | \(0.0876975\pi\) | |||||||
\(752\) | 11.5924 | + | 39.4800i | 0.422730 | + | 1.43969i | ||||
\(753\) | 10.6747 | + | 6.22901i | 0.389009 | + | 0.226998i | ||||
\(754\) | −9.76081 | − | 21.3732i | −0.355468 | − | 0.778366i | ||||
\(755\) | 1.09322 | + | 7.60348i | 0.0397862 | + | 0.276719i | ||||
\(756\) | −25.2994 | − | 16.7590i | −0.920130 | − | 0.609519i | ||||
\(757\) | −37.5327 | − | 32.5223i | −1.36415 | − | 1.18204i | −0.964097 | − | 0.265551i | \(-0.914446\pi\) |
−0.400054 | − | 0.916492i | \(-0.631008\pi\) | |||||||
\(758\) | −0.859674 | −0.0312248 | ||||||||
\(759\) | 23.9946 | + | 3.54543i | 0.870948 | + | 0.128691i | ||||
\(760\) | −39.3140 | −1.42607 | ||||||||
\(761\) | −3.33239 | − | 2.88754i | −0.120799 | − | 0.104673i | 0.592366 | − | 0.805669i | \(-0.298194\pi\) |
−0.713166 | + | 0.700996i | \(0.752739\pi\) | |||||||
\(762\) | 87.9610 | − | 16.5319i | 3.18649 | − | 0.598887i | ||||
\(763\) | 2.96546 | + | 20.6252i | 0.107357 | + | 0.746682i | ||||
\(764\) | 1.49529 | + | 3.27422i | 0.0540976 | + | 0.118457i | ||||
\(765\) | −18.7426 | + | 14.4610i | −0.677639 | + | 0.522838i | ||||
\(766\) | 13.8961 | + | 47.3259i | 0.502088 | + | 1.70995i | ||||
\(767\) | −3.64217 | + | 5.66732i | −0.131511 | + | 0.204635i | ||||
\(768\) | −11.4897 | − | 12.1621i | −0.414599 | − | 0.438861i | ||||
\(769\) | −8.53295 | + | 29.0606i | −0.307706 | + | 1.04795i | 0.649936 | + | 0.759989i | \(0.274796\pi\) |
−0.957642 | + | 0.287961i | \(0.907023\pi\) | |||||||
\(770\) | −14.5327 | − | 16.7716i | −0.523722 | − | 0.604408i | ||||
\(771\) | −7.38896 | − | 21.6725i | −0.266107 | − | 0.780516i | ||||
\(772\) | 113.151 | + | 33.2240i | 4.07238 | + | 1.19576i | ||||
\(773\) | 15.7512 | − | 34.4904i | 0.566533 | − | 1.24053i | −0.382090 | − | 0.924125i | \(-0.624796\pi\) |
0.948623 | − | 0.316409i | \(-0.102477\pi\) | |||||||
\(774\) | −18.7363 | − | 80.4709i | −0.673461 | − | 2.89247i | ||||
\(775\) | 3.57104 | − | 1.04855i | 0.128276 | − | 0.0376651i | ||||
\(776\) | −13.8580 | + | 96.3846i | −0.497473 | + | 3.46000i | ||||
\(777\) | 20.4261 | − | 0.878429i | 0.732781 | − | 0.0315135i | ||||
\(778\) | −47.8856 | + | 6.88490i | −1.71678 | + | 0.246836i | ||||
\(779\) | 2.01550 | − | 1.29529i | 0.0722129 | − | 0.0464084i | ||||
\(780\) | −20.9655 | − | 41.1330i | −0.750685 | − | 1.47280i | ||||
\(781\) | 21.9279i | 0.784644i | ||||||||
\(782\) | 38.6315 | + | 13.3393i | 1.38146 | + | 0.477011i | ||||
\(783\) | −8.42763 | − | 19.1522i | −0.301179 | − | 0.684444i | ||||
\(784\) | −38.3954 | + | 44.3106i | −1.37126 | + | 1.58252i | ||||
\(785\) | −19.6205 | − | 30.5301i | −0.700285 | − | 1.08966i | ||||
\(786\) | −74.9985 | − | 18.5618i | −2.67511 | − | 0.662079i | ||||
\(787\) | −12.9399 | + | 5.90944i | −0.461257 | + | 0.210649i | −0.632470 | − | 0.774585i | \(-0.717959\pi\) |
0.171213 | + | 0.985234i | \(0.445231\pi\) | |||||||
\(788\) | −13.2334 | − | 1.90267i | −0.471419 | − | 0.0677799i | ||||
\(789\) | 1.37208 | − | 13.6997i | 0.0488472 | − | 0.487722i | ||||
\(790\) | −14.5027 | − | 9.32032i | −0.515983 | − | 0.331602i | ||||
\(791\) | −10.1934 | − | 4.65518i | −0.362436 | − | 0.165519i | ||||
\(792\) | −58.9095 | + | 33.2893i | −2.09326 | + | 1.18288i | ||||
\(793\) | −1.26382 | + | 1.09511i | −0.0448796 | + | 0.0388884i | ||||
\(794\) | 51.4198 | − | 44.5555i | 1.82482 | − | 1.58122i | ||||
\(795\) | 3.21679 | − | 4.05181i | 0.114088 | − | 0.143703i | ||||
\(796\) | 11.5612 | + | 5.27984i | 0.409777 | + | 0.187139i | ||||
\(797\) | 31.2874 | + | 20.1072i | 1.10826 | + | 0.712233i | 0.960912 | − | 0.276853i | \(-0.0892914\pi\) |
0.147343 | + | 0.989085i | \(0.452928\pi\) | |||||||
\(798\) | 11.2140 | + | 1.12312i | 0.396971 | + | 0.0397581i | ||||
\(799\) | −12.5865 | − | 1.80967i | −0.445279 | − | 0.0640215i | ||||
\(800\) | −10.4219 | + | 4.75953i | −0.368470 | + | 0.168275i | ||||
\(801\) | 9.53099 | − | 13.1259i | 0.336761 | − | 0.463782i | ||||
\(802\) | −15.2887 | − | 23.7897i | −0.539863 | − | 0.840044i | ||||
\(803\) | 3.05391 | − | 3.52440i | 0.107770 | − | 0.124373i | ||||
\(804\) | −33.6835 | − | 13.6658i | −1.18793 | − | 0.481955i | ||||
\(805\) | −13.0842 | − | 4.51791i | −0.461158 | − | 0.159235i | ||||
\(806\) | 22.9853i | 0.809622i | ||||||||
\(807\) | 23.5980 | − | 12.0279i | 0.830690 | − | 0.423403i | ||||
\(808\) | 55.5905 | − | 35.7258i | 1.95567 | − | 1.25683i | ||||
\(809\) | 12.5211 | − | 1.80026i | 0.440217 | − | 0.0632936i | 0.0813568 | − | 0.996685i | \(-0.474075\pi\) |
0.358860 | + | 0.933391i | \(0.383166\pi\) | |||||||
\(810\) | −25.5231 | − | 51.8386i | −0.896791 | − | 1.82142i | ||||
\(811\) | −6.98225 | + | 48.5626i | −0.245180 | + | 1.70526i | 0.380169 | + | 0.924917i | \(0.375866\pi\) |
−0.625348 | + | 0.780346i | \(0.715043\pi\) | |||||||
\(812\) | 22.5654 | − | 6.62580i | 0.791891 | − | 0.232520i | ||||
\(813\) | −34.0059 | + | 23.9794i | −1.19264 | + | 0.840995i | ||||
\(814\) | 31.8484 | − | 69.7383i | 1.11629 | − | 2.44433i | ||||
\(815\) | −11.4140 | − | 3.35144i | −0.399813 | − | 0.117396i | ||||
\(816\) | −55.5636 | + | 18.9437i | −1.94512 | + | 0.663162i | ||||
\(817\) | 14.2978 | + | 16.5006i | 0.500218 | + | 0.577282i | ||||
\(818\) | −18.5824 | + | 63.2858i | −0.649718 | + | 2.21274i | ||||
\(819\) | 2.85718 | + | 7.33259i | 0.0998380 | + | 0.256221i | ||||
\(820\) | 7.46402 | − | 11.6142i | 0.260655 | − | 0.405587i | ||||
\(821\) | −10.5030 | − | 35.7698i | −0.366556 | − | 1.24838i | −0.911987 | − | 0.410219i | \(-0.865452\pi\) |
0.545431 | − | 0.838156i | \(-0.316366\pi\) | |||||||
\(822\) | −35.4433 | + | 60.7396i | −1.23623 | + | 2.11854i | ||||
\(823\) | −12.1693 | − | 26.6471i | −0.424196 | − | 0.928860i | −0.994233 | − | 0.107241i | \(-0.965798\pi\) |
0.570037 | − | 0.821619i | \(-0.306929\pi\) | |||||||
\(824\) | 19.8647 | + | 138.162i | 0.692021 | + | 4.81311i | ||||
\(825\) | −0.882609 | − | 4.69609i | −0.0307285 | − | 0.163497i | ||||
\(826\) | −7.16183 | − | 6.20576i | −0.249192 | − | 0.215926i | ||||
\(827\) | 37.8338 | 1.31561 | 0.657805 | − | 0.753188i | \(-0.271485\pi\) | ||||
0.657805 | + | 0.753188i | \(0.271485\pi\) | |||||||
\(828\) | −36.0128 | + | 61.1665i | −1.25153 | + | 2.12568i | ||||
\(829\) | 0.482369 | 0.0167534 | 0.00837668 | − | 0.999965i | \(-0.497334\pi\) | ||||
0.00837668 | + | 0.999965i | \(0.497334\pi\) | |||||||
\(830\) | 30.8853 | + | 26.7622i | 1.07204 | + | 0.928931i | ||||
\(831\) | −2.17362 | − | 11.5651i | −0.0754020 | − | 0.401190i | ||||
\(832\) | −3.46482 | − | 24.0983i | −0.120121 | − | 0.835459i | ||||
\(833\) | −7.52707 | − | 16.4820i | −0.260797 | − | 0.571067i | ||||
\(834\) | 10.1459 | − | 17.3871i | 0.351322 | − | 0.602065i | ||||
\(835\) | 10.0026 | + | 34.0658i | 0.346155 | + | 1.17890i | ||||
\(836\) | 16.2577 | − | 25.2974i | 0.562284 | − | 0.874930i | ||||
\(837\) | −0.283761 | + | 20.4672i | −0.00980822 | + | 0.707449i | ||||
\(838\) | 6.51431 | − | 22.1857i | 0.225033 | − | 0.766392i | ||||
\(839\) | −11.0304 | − | 12.7298i | −0.380811 | − | 0.439480i | 0.532693 | − | 0.846309i | \(-0.321180\pi\) |
−0.913504 | + | 0.406829i | \(0.866635\pi\) | |||||||
\(840\) | 36.5500 | − | 12.4613i | 1.26110 | − | 0.429954i | ||||
\(841\) | −12.2662 | − | 3.60167i | −0.422971 | − | 0.124196i | ||||
\(842\) | 14.5127 | − | 31.7783i | 0.500139 | − | 1.09515i | ||||
\(843\) | −39.6769 | + | 27.9784i | −1.36654 | + | 0.963626i | ||||
\(844\) | 57.3985 | − | 16.8537i | 1.97574 | − | 0.580129i | ||||
\(845\) | 2.80704 | − | 19.5234i | 0.0965652 | − | 0.671625i | ||||
\(846\) | 10.4220 | − | 29.2353i | 0.358315 | − | 1.00513i | ||||
\(847\) | −2.89862 | + | 0.416759i | −0.0995979 | + | 0.0143200i | ||||
\(848\) | 10.7927 | − | 6.93602i | 0.370622 | − | 0.238184i | ||||
\(849\) | 24.5809 | − | 12.5289i | 0.843614 | − | 0.429990i | ||||
\(850\) | − | 8.05142i | − | 0.276161i | ||||||
\(851\) | −4.58003 | − | 47.6008i | −0.157001 | − | 1.63173i | ||||
\(852\) | −59.4630 | − | 24.1248i | −2.03717 | − | 0.826502i | ||||
\(853\) | −3.78407 | + | 4.36705i | −0.129564 | + | 0.149525i | −0.816825 | − | 0.576886i | \(-0.804268\pi\) |
0.687260 | + | 0.726411i | \(0.258813\pi\) | |||||||
\(854\) | −1.27178 | − | 1.97893i | −0.0435194 | − | 0.0677175i | ||||
\(855\) | 12.3552 | + | 8.97136i | 0.422540 | + | 0.306814i | ||||
\(856\) | −94.7332 | + | 43.2632i | −3.23791 | + | 1.47871i | ||||
\(857\) | −22.0940 | − | 3.17664i | −0.754718 | − | 0.108512i | −0.245792 | − | 0.969323i | \(-0.579048\pi\) |
−0.508926 | + | 0.860811i | \(0.669957\pi\) | |||||||
\(858\) | 29.3632 | + | 2.94084i | 1.00244 | + | 0.100399i | ||||
\(859\) | 11.2199 | + | 7.21062i | 0.382819 | + | 0.246023i | 0.717870 | − | 0.696177i | \(-0.245117\pi\) |
−0.335051 | + | 0.942200i | \(0.608753\pi\) | |||||||
\(860\) | 114.444 | + | 52.2650i | 3.90252 | + | 1.78222i | ||||
\(861\) | −1.46324 | + | 1.84307i | −0.0498671 | + | 0.0628117i | ||||
\(862\) | −10.9840 | + | 9.51767i | −0.374116 | + | 0.324173i | ||||
\(863\) | 15.2498 | − | 13.2140i | 0.519110 | − | 0.449811i | −0.355474 | − | 0.934686i | \(-0.615680\pi\) |
0.874583 | + | 0.484875i | \(0.161135\pi\) | |||||||
\(864\) | −8.10214 | − | 62.4897i | −0.275640 | − | 2.12594i | ||||
\(865\) | −50.3058 | − | 22.9739i | −1.71045 | − | 0.781135i | ||||
\(866\) | −71.6654 | − | 46.0565i | −2.43529 | − | 1.56506i | ||||
\(867\) | −1.12640 | + | 11.2467i | −0.0382545 | + | 0.381958i | ||||
\(868\) | −22.7722 | − | 3.27414i | −0.772938 | − | 0.111132i | ||||
\(869\) | 7.13217 | − | 3.25715i | 0.241942 | − | 0.110491i | ||||
\(870\) | 43.4677 | + | 10.7581i | 1.47369 | + | 0.364733i | ||||
\(871\) | 5.09630 | + | 7.92999i | 0.172681 | + | 0.268698i | ||||
\(872\) | −89.0386 | + | 102.756i | −3.01523 | + | 3.47976i | ||||
\(873\) | 26.3499 | − | 27.1285i | 0.891809 | − | 0.918160i | ||||
\(874\) | 1.23527 | − | 26.3317i | 0.0417835 | − | 0.890683i | ||||
\(875\) | − | 11.7046i | − | 0.395687i | ||||||
\(876\) | 6.19740 | + | 12.1589i | 0.209391 | + | 0.410812i | ||||
\(877\) | −22.6721 | + | 14.5705i | −0.765582 | + | 0.492010i | −0.864220 | − | 0.503114i | \(-0.832188\pi\) |
0.0986383 | + | 0.995123i | \(0.468551\pi\) | |||||||
\(878\) | 38.6730 | − | 5.56034i | 1.30515 | − | 0.187652i | ||||
\(879\) | 17.3726 | − | 0.747111i | 0.585962 | − | 0.0251994i | ||||
\(880\) | 10.6107 | − | 73.7991i | 0.357687 | − | 2.48777i | ||||
\(881\) | −41.0586 | + | 12.0559i | −1.38330 | + | 0.406174i | −0.886917 | − | 0.461929i | \(-0.847157\pi\) |
−0.496384 | + | 0.868103i | \(0.665339\pi\) | |||||||
\(882\) | 43.0741 | − | 10.0291i | 1.45038 | − | 0.337696i | ||||
\(883\) | 0.0357566 | − | 0.0782961i | 0.00120331 | − | 0.00263487i | −0.909029 | − | 0.416732i | \(-0.863175\pi\) |
0.910233 | + | 0.414097i | \(0.135903\pi\) | |||||||
\(884\) | 33.9480 | + | 9.96802i | 1.14179 | + | 0.335261i | ||||
\(885\) | −4.14305 | − | 12.1519i | −0.139267 | − | 0.408483i | ||||
\(886\) | −52.5438 | − | 60.6388i | −1.76524 | − | 2.03720i | ||||
\(887\) | −9.93491 | + | 33.8352i | −0.333582 | + | 1.13607i | 0.606488 | + | 0.795093i | \(0.292578\pi\) |
−0.940070 | + | 0.340982i | \(0.889240\pi\) | |||||||
\(888\) | 91.6133 | + | 96.9746i | 3.07434 | + | 3.25425i | ||||
\(889\) | 12.5596 | − | 19.5431i | 0.421235 | − | 0.655454i | ||||
\(890\) | 9.78015 | + | 33.3081i | 0.327831 | + | 1.11649i | ||||
\(891\) | 26.1101 | + | 2.98116i | 0.874721 | + | 0.0998726i | ||||
\(892\) | 25.9626 | + | 56.8502i | 0.869292 | + | 1.90348i | ||||
\(893\) | 1.16722 | + | 8.11822i | 0.0390597 | + | 0.271666i | ||||
\(894\) | 9.85648 | − | 1.85248i | 0.329650 | − | 0.0619563i | ||||
\(895\) | 2.35594 | + | 2.04143i | 0.0787504 | + | 0.0682376i | ||||
\(896\) | 5.53604 | 0.184946 | ||||||||
\(897\) | 16.7732 | − | 7.58116i | 0.560040 | − | 0.253128i | ||||
\(898\) | 103.368 | 3.44944 | ||||||||
\(899\) | −11.9886 | − | 10.3881i | −0.399841 | − | 0.346464i | ||||
\(900\) | 13.7056 | + | 2.77316i | 0.456854 | + | 0.0924385i | ||||
\(901\) | 0.564242 | + | 3.92439i | 0.0187976 | + | 0.130740i | ||||
\(902\) | 3.66587 | + | 8.02715i | 0.122060 | + | 0.267275i | ||||
\(903\) | −18.5228 | − | 10.8086i | −0.616399 | − | 0.359687i | ||||
\(904\) | −20.6006 | − | 70.1590i | −0.685164 | − | 2.33345i | ||||
\(905\) | −16.5931 | + | 25.8193i | −0.551572 | + | 0.858262i | ||||
\(906\) | 10.4450 | − | 9.86753i | 0.347012 | − | 0.327827i | ||||
\(907\) | −7.48271 | + | 25.4838i | −0.248459 | + | 0.846175i | 0.736946 | + | 0.675951i | \(0.236267\pi\) |
−0.985405 | + | 0.170223i | \(0.945551\pi\) | |||||||
\(908\) | −89.1853 | − | 102.925i | −2.95972 | − | 3.41570i | ||||
\(909\) | −25.6230 | − | 1.45804i | −0.849862 | − | 0.0483600i | ||||
\(910\) | −16.1591 | − | 4.74473i | −0.535668 | − | 0.157286i | ||||
\(911\) | 10.7751 | − | 23.5941i | 0.356994 | − | 0.781709i | −0.642882 | − | 0.765965i | \(-0.722261\pi\) |
0.999876 | − | 0.0157432i | \(-0.00501141\pi\) | |||||||
\(912\) | 21.8204 | + | 30.9441i | 0.722545 | + | 1.02466i | ||||
\(913\) | −17.8340 | + | 5.23654i | −0.590220 | + | 0.173304i | ||||
\(914\) | 5.81555 | − | 40.4480i | 0.192361 | − | 1.33790i | ||||
\(915\) | −0.136931 | − | 3.18405i | −0.00452679 | − | 0.105261i | ||||
\(916\) | 22.7376 | − | 3.26917i | 0.751271 | − | 0.108016i | ||||
\(917\) | −16.8705 | + | 10.8420i | −0.557112 | + | 0.358034i | ||||
\(918\) | 42.3104 | + | 13.0632i | 1.39645 | + | 0.431151i | ||||
\(919\) | − | 21.0921i | − | 0.695764i | −0.937538 | − | 0.347882i | \(-0.886901\pi\) | ||
0.937538 | − | 0.347882i | \(-0.113099\pi\) | |||||||
\(920\) | −33.6300 | − | 83.8280i | −1.10875 | − | 2.76373i | ||||
\(921\) | −9.05876 | + | 22.3281i | −0.298496 | + | 0.735736i | ||||
\(922\) | 5.08025 | − | 5.86292i | 0.167309 | − | 0.193085i | ||||
\(923\) | 8.99672 | + | 13.9992i | 0.296131 | + | 0.460788i | ||||
\(924\) | −7.09622 | + | 28.6721i | −0.233449 | + | 0.943242i | ||||
\(925\) | −8.56943 | + | 3.91353i | −0.281761 | + | 0.128676i | ||||
\(926\) | −23.5759 | − | 3.38971i | −0.774753 | − | 0.111393i | ||||
\(927\) | 25.2854 | − | 47.9535i | 0.830482 | − | 1.57500i | ||||
\(928\) | 41.0814 | + | 26.4014i | 1.34856 | + | 0.866668i | ||||
\(929\) | 16.3045 | + | 7.44600i | 0.534932 | + | 0.244295i | 0.664517 | − | 0.747273i | \(-0.268637\pi\) |
−0.129585 | + | 0.991568i | \(0.541364\pi\) | |||||||
\(930\) | −34.3075 | − | 27.2372i | −1.12499 | − | 0.893144i | ||||
\(931\) | −8.83236 | + | 7.65328i | −0.289469 | + | 0.250826i | ||||
\(932\) | 14.9479 | − | 12.9525i | 0.489636 | − | 0.424272i | ||||
\(933\) | 26.6915 | + | 21.1908i | 0.873841 | + | 0.693755i | ||||
\(934\) | −72.2469 | − | 32.9940i | −2.36399 | − | 1.07960i | ||||
\(935\) | 19.3836 | + | 12.4571i | 0.633912 | + | 0.407390i | ||||
\(936\) | −23.9507 | + | 45.4222i | −0.782853 | + | 1.48467i | ||||
\(937\) | −9.01586 | − | 1.29628i | −0.294535 | − | 0.0423478i | −0.00653673 | − | 0.999979i | \(-0.502081\pi\) |
−0.287998 | + | 0.957631i | \(0.592990\pi\) | |||||||
\(938\) | −12.0617 | + | 5.50837i | −0.393827 | + | 0.179855i | ||||
\(939\) | 7.75769 | − | 31.3447i | 0.253163 | − | 1.02290i | ||||
\(940\) | 25.5517 | + | 39.7593i | 0.833405 | + | 1.29680i | ||||
\(941\) | −14.2071 | + | 16.3959i | −0.463139 | + | 0.534491i | −0.938490 | − | 0.345305i | \(-0.887775\pi\) |
0.475352 | + | 0.879796i | \(0.342321\pi\) | |||||||
\(942\) | −25.5210 | + | 62.9044i | −0.831519 | + | 2.04953i | ||||
\(943\) | 4.48600 | + | 3.18959i | 0.146084 | + | 0.103867i | ||||
\(944\) | − | 31.8378i | − | 1.03623i | ||||||
\(945\) | −14.3302 | − | 4.42442i | −0.466163 | − | 0.143927i | ||||
\(946\) | −67.6529 | + | 43.4779i | −2.19959 | + | 1.41359i | ||||
\(947\) | 0.586550 | − | 0.0843332i | 0.0190603 | − | 0.00274046i | −0.132778 | − | 0.991146i | \(-0.542390\pi\) |
0.151838 | + | 0.988405i | \(0.451481\pi\) | |||||||
\(948\) | 0.985857 | + | 22.9241i | 0.0320191 | + | 0.744540i | ||||
\(949\) | 0.503657 | − | 3.50301i | 0.0163494 | − | 0.113712i | ||||
\(950\) | −4.98275 | + | 1.46307i | −0.161662 | + | 0.0474682i | ||||
\(951\) | 18.7131 | + | 26.5376i | 0.606815 | + | 0.860541i | ||||
\(952\) | −12.2936 | + | 26.9193i | −0.398439 | + | 0.872460i | ||||
\(953\) | −42.9514 | − | 12.6117i | −1.39133 | − | 0.408532i | −0.501634 | − | 0.865080i | \(-0.667267\pi\) |
−0.889699 | + | 0.456548i | \(0.849086\pi\) | |||||||
\(954\) | −9.66162 | − | 0.549779i | −0.312806 | − | 0.0177997i | ||||
\(955\) | 1.16494 | + | 1.34442i | 0.0376967 | + | 0.0435043i | ||||
\(956\) | 11.0880 | − | 37.7623i | 0.358612 | − | 1.22132i | ||||
\(957\) | −14.8045 | + | 13.9860i | −0.478562 | + | 0.452105i | ||||
\(958\) | 2.58249 | − | 4.01843i | 0.0834365 | − | 0.129830i | ||||
\(959\) | 5.14258 | + | 17.5140i | 0.166063 | + | 0.565557i | ||||
\(960\) | 40.0746 | + | 23.3846i | 1.29340 | + | 0.754736i | ||||
\(961\) | −6.43146 | − | 14.0829i | −0.207467 | − | 0.454288i | ||||
\(962\) | −8.28005 | − | 57.5890i | −0.266960 | − | 1.85674i | ||||
\(963\) | 39.6444 | + | 8.02154i | 1.27752 | + | 0.258490i | ||||
\(964\) | 49.1332 | + | 42.5742i | 1.58247 | + | 1.37122i | ||||
\(965\) | 58.2812 | 1.87614 | ||||||||
\(966\) | 7.19787 | + | 24.8720i | 0.231588 | + | 0.800244i | ||||
\(967\) | 11.1741 | 0.359335 | 0.179668 | − | 0.983727i | \(-0.442498\pi\) | ||||
0.179668 | + | 0.983727i | \(0.442498\pi\) | |||||||
\(968\) | −14.4411 | − | 12.5133i | −0.464155 | − | 0.402193i | ||||
\(969\) | −11.5000 | + | 2.16138i | −0.369435 | + | 0.0694337i | ||||
\(970\) | 11.5182 | + | 80.1105i | 0.369826 | + | 2.57219i | ||||
\(971\) | 12.0936 | + | 26.4813i | 0.388103 | + | 0.849827i | 0.998339 | + | 0.0576074i | \(0.0183472\pi\) |
−0.610236 | + | 0.792219i | \(0.708926\pi\) | |||||||
\(972\) | −36.8101 | + | 67.5241i | −1.18068 | + | 2.16584i | ||||
\(973\) | −1.47209 | − | 5.01349i | −0.0471932 | − | 0.160725i | ||||
\(974\) | −5.14412 | + | 8.00441i | −0.164828 | + | 0.256478i | ||||
\(975\) | −2.49021 | − | 2.63594i | −0.0797505 | − | 0.0844176i | ||||
\(976\) | 2.22657 | − | 7.58300i | 0.0712708 | − | 0.242726i | ||||
\(977\) | 14.6250 | + | 16.8781i | 0.467894 | + | 0.539979i | 0.939825 | − | 0.341657i | \(-0.110988\pi\) |
−0.471931 | + | 0.881636i | \(0.656443\pi\) | |||||||
\(978\) | 7.18057 | + | 21.0613i | 0.229609 | + | 0.673465i | ||||
\(979\) | −15.1490 | − | 4.44815i | −0.484164 | − | 0.142164i | ||||
\(980\) | −27.9762 | + | 61.2593i | −0.893666 | + | 1.95686i | ||||
\(981\) | 51.4309 | − | 11.9748i | 1.64206 | − | 0.382326i | ||||
\(982\) | −30.2694 | + | 8.88789i | −0.965935 | + | 0.283624i | ||||
\(983\) | −5.73513 | + | 39.8887i | −0.182922 | + | 1.27225i | 0.666886 | + | 0.745160i | \(0.267627\pi\) |
−0.849808 | + | 0.527092i | \(0.823282\pi\) | |||||||
\(984\) | −15.3413 | + | 0.659757i | −0.489063 | + | 0.0210323i | ||||
\(985\) | −6.54009 | + | 0.940323i | −0.208385 | + | 0.0299612i | ||||
\(986\) | −28.8693 | + | 18.5532i | −0.919385 | + | 0.590853i | ||||
\(987\) | −3.65837 | − | 7.17750i | −0.116447 | − | 0.228462i | ||||
\(988\) | − | 22.8206i | − | 0.726020i | ||||||
\(989\) | −22.9530 | + | 44.6018i | −0.729864 | + | 1.41825i | ||||
\(990\) | −39.1845 | + | 40.3423i | −1.24536 | + | 1.28216i | ||||
\(991\) | 15.7267 | − | 18.1496i | 0.499576 | − | 0.576541i | −0.448823 | − | 0.893620i | \(-0.648157\pi\) |
0.948399 | + | 0.317080i | \(0.102702\pi\) | |||||||
\(992\) | −25.8269 | − | 40.1875i | −0.820006 | − | 1.27595i | ||||
\(993\) | −8.47305 | − | 2.09704i | −0.268884 | − | 0.0665477i | ||||
\(994\) | −21.2930 | + | 9.72417i | −0.675372 | + | 0.308432i | ||||
\(995\) | 6.21739 | + | 0.893926i | 0.197105 | + | 0.0283394i | ||||
\(996\) | 5.42057 | − | 54.1225i | 0.171757 | − | 1.71494i | ||||
\(997\) | 38.0856 | + | 24.4761i | 1.20618 | + | 0.775167i | 0.980016 | − | 0.198921i | \(-0.0637437\pi\) |
0.226168 | + | 0.974088i | \(0.427380\pi\) | |||||||
\(998\) | 6.03102 | + | 2.75427i | 0.190909 | + | 0.0871850i | ||||
\(999\) | −6.66199 | − | 51.3822i | −0.210776 | − | 1.62566i |
(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 | 69.2.g.a.53.1 | ✓ | 60 | |
3.2 | odd | 2 | inner | 69.2.g.a.53.6 | yes | 60 | |
23.10 | odd | 22 | inner | 69.2.g.a.56.6 | yes | 60 | |
69.56 | even | 22 | inner | 69.2.g.a.56.1 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.2.g.a.53.1 | ✓ | 60 | 1.1 | even | 1 | trivial | |
69.2.g.a.53.6 | yes | 60 | 3.2 | odd | 2 | inner | |
69.2.g.a.56.1 | yes | 60 | 69.56 | even | 22 | inner | |
69.2.g.a.56.6 | yes | 60 | 23.10 | odd | 22 | inner |