Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(4,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.u (of order \(9\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.2 | ||
Character | \(\chi\) | \(=\) | 189.4 |
Dual form | 189.2.u.a.142.2 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.460894 | − | 2.61386i | −0.325902 | − | 1.84828i | −0.503263 | − | 0.864134i | \(-0.667867\pi\) |
0.177361 | − | 0.984146i | \(-0.443244\pi\) | |||||||
\(3\) | −1.36647 | + | 1.06432i | −0.788930 | + | 0.614484i | ||||
\(4\) | −4.74046 | + | 1.72539i | −2.37023 | + | 0.862694i | ||||
\(5\) | −0.528985 | + | 0.192535i | −0.236570 | + | 0.0861043i | −0.457584 | − | 0.889166i | \(-0.651285\pi\) |
0.221015 | + | 0.975270i | \(0.429063\pi\) | |||||||
\(6\) | 3.41177 | + | 3.08122i | 1.39285 | + | 1.25790i | ||||
\(7\) | 0.317729 | + | 2.62660i | 0.120090 | + | 0.992763i | ||||
\(8\) | 4.04059 | + | 6.99852i | 1.42857 | + | 2.47435i | ||||
\(9\) | 0.734460 | − | 2.90871i | 0.244820 | − | 0.969569i | ||||
\(10\) | 0.747066 | + | 1.29396i | 0.236243 | + | 0.409185i | ||||
\(11\) | 2.28738 | + | 0.832537i | 0.689670 | + | 0.251019i | 0.662994 | − | 0.748625i | \(-0.269285\pi\) |
0.0266762 | + | 0.999644i | \(0.491508\pi\) | |||||||
\(12\) | 4.64133 | − | 7.40304i | 1.33984 | − | 2.13707i | ||||
\(13\) | −4.38166 | + | 1.59479i | −1.21525 | + | 0.442316i | −0.868523 | − | 0.495649i | \(-0.834930\pi\) |
−0.346730 | + | 0.937965i | \(0.612708\pi\) | |||||||
\(14\) | 6.71914 | − | 2.04109i | 1.79577 | − | 0.545503i | ||||
\(15\) | 0.517923 | − | 0.826101i | 0.133727 | − | 0.213298i | ||||
\(16\) | 8.70194 | − | 7.30180i | 2.17549 | − | 1.82545i | ||||
\(17\) | 2.27552 | + | 3.94132i | 0.551895 | + | 0.955910i | 0.998138 | + | 0.0609981i | \(0.0194284\pi\) |
−0.446243 | + | 0.894912i | \(0.647238\pi\) | |||||||
\(18\) | −7.94146 | − | 0.579170i | −1.87182 | − | 0.136512i | ||||
\(19\) | −2.77342 | + | 4.80370i | −0.636266 | + | 1.10204i | 0.349979 | + | 0.936757i | \(0.386189\pi\) |
−0.986245 | + | 0.165288i | \(0.947145\pi\) | |||||||
\(20\) | 2.17544 | − | 1.82541i | 0.486443 | − | 0.408174i | ||||
\(21\) | −3.22970 | − | 3.25100i | −0.704779 | − | 0.709427i | ||||
\(22\) | 1.12190 | − | 6.36260i | 0.239189 | − | 1.35651i | ||||
\(23\) | 0.147383 | − | 0.835851i | 0.0307315 | − | 0.174287i | −0.965579 | − | 0.260110i | \(-0.916241\pi\) |
0.996310 | + | 0.0858236i | \(0.0273521\pi\) | |||||||
\(24\) | −12.9700 | − | 5.26276i | −2.64748 | − | 1.07426i | ||||
\(25\) | −3.58747 | + | 3.01024i | −0.717493 | + | 0.602048i | ||||
\(26\) | 6.18805 | + | 10.7180i | 1.21358 | + | 2.10198i | ||||
\(27\) | 2.09217 | + | 4.75635i | 0.402638 | + | 0.915359i | ||||
\(28\) | −6.03809 | − | 11.9031i | −1.14109 | − | 2.24948i | ||||
\(29\) | −8.04946 | − | 2.92976i | −1.49475 | − | 0.544044i | −0.540053 | − | 0.841631i | \(-0.681596\pi\) |
−0.954695 | + | 0.297588i | \(0.903818\pi\) | |||||||
\(30\) | −2.39802 | − | 0.973033i | −0.437817 | − | 0.177651i | ||||
\(31\) | 3.34529 | − | 1.21759i | 0.600832 | − | 0.218685i | −0.0236551 | − | 0.999720i | \(-0.507530\pi\) |
0.624487 | + | 0.781035i | \(0.285308\pi\) | |||||||
\(32\) | −10.7155 | − | 8.99134i | −1.89424 | − | 1.58946i | ||||
\(33\) | −4.01171 | + | 1.29686i | −0.698349 | + | 0.225754i | ||||
\(34\) | 9.25328 | − | 7.76443i | 1.58693 | − | 1.33159i | ||||
\(35\) | −0.673787 | − | 1.32826i | −0.113891 | − | 0.224517i | ||||
\(36\) | 1.53697 | + | 15.0558i | 0.256161 | + | 2.50931i | ||||
\(37\) | 6.39173 | 1.05079 | 0.525397 | − | 0.850857i | \(-0.323917\pi\) | ||||
0.525397 | + | 0.850857i | \(0.323917\pi\) | |||||||
\(38\) | 13.8345 | + | 5.03533i | 2.24425 | + | 0.816839i | ||||
\(39\) | 4.29002 | − | 6.84270i | 0.686953 | − | 1.09571i | ||||
\(40\) | −3.48488 | − | 2.92416i | −0.551007 | − | 0.462350i | ||||
\(41\) | −1.82749 | + | 0.665151i | −0.285405 | + | 0.103879i | −0.480756 | − | 0.876854i | \(-0.659638\pi\) |
0.195351 | + | 0.980733i | \(0.437416\pi\) | |||||||
\(42\) | −7.00912 | + | 9.94037i | −1.08153 | + | 1.53383i | ||||
\(43\) | 0.400722 | + | 2.27261i | 0.0611096 | + | 0.346570i | 0.999997 | + | 0.00234593i | \(0.000746734\pi\) |
−0.938888 | + | 0.344224i | \(0.888142\pi\) | |||||||
\(44\) | −12.2797 | −1.85123 | ||||||||
\(45\) | 0.171509 | + | 1.68007i | 0.0255671 | + | 0.250450i | ||||
\(46\) | −2.25273 | −0.332146 | ||||||||
\(47\) | 1.68465 | + | 0.613164i | 0.245732 | + | 0.0894391i | 0.461950 | − | 0.886906i | \(-0.347150\pi\) |
−0.216218 | + | 0.976345i | \(0.569372\pi\) | |||||||
\(48\) | −4.11948 | + | 19.2393i | −0.594596 | + | 2.77695i | ||||
\(49\) | −6.79810 | + | 1.66910i | −0.971157 | + | 0.238442i | ||||
\(50\) | 9.52180 | + | 7.98974i | 1.34659 | + | 1.12992i | ||||
\(51\) | −7.30423 | − | 2.96380i | −1.02280 | − | 0.415015i | ||||
\(52\) | 18.0195 | − | 15.1201i | 2.49885 | − | 2.09678i | ||||
\(53\) | −0.397455 | + | 0.688413i | −0.0545947 | + | 0.0945608i | −0.892031 | − | 0.451974i | \(-0.850720\pi\) |
0.837436 | + | 0.546535i | \(0.184053\pi\) | |||||||
\(54\) | 11.4682 | − | 7.66082i | 1.56062 | − | 1.04250i | ||||
\(55\) | −1.37028 | −0.184769 | ||||||||
\(56\) | −17.0985 | + | 12.8367i | −2.28489 | + | 1.71537i | ||||
\(57\) | −1.32288 | − | 9.51589i | −0.175219 | − | 1.26041i | ||||
\(58\) | −3.94805 | + | 22.3905i | −0.518404 | + | 2.94002i | ||||
\(59\) | −2.98565 | − | 2.50526i | −0.388698 | − | 0.326157i | 0.427407 | − | 0.904059i | \(-0.359427\pi\) |
−0.816106 | + | 0.577902i | \(0.803871\pi\) | |||||||
\(60\) | −1.02985 | + | 4.80972i | −0.132953 | + | 0.620932i | ||||
\(61\) | −5.19296 | − | 1.89008i | −0.664890 | − | 0.242000i | −0.0125441 | − | 0.999921i | \(-0.503993\pi\) |
−0.652346 | + | 0.757921i | \(0.726215\pi\) | |||||||
\(62\) | −4.72443 | − | 8.18295i | −0.600003 | − | 1.03924i | ||||
\(63\) | 7.87338 | + | 1.00495i | 0.991952 | + | 0.126612i | ||||
\(64\) | −7.20384 | + | 12.4774i | −0.900480 | + | 1.55968i | ||||
\(65\) | 2.01078 | − | 1.68724i | 0.249407 | − | 0.209277i | ||||
\(66\) | 5.23879 | + | 9.88833i | 0.644850 | + | 1.21717i | ||||
\(67\) | −0.764060 | + | 4.33320i | −0.0933448 | + | 0.529384i | 0.901897 | + | 0.431951i | \(0.142175\pi\) |
−0.995242 | + | 0.0974338i | \(0.968937\pi\) | |||||||
\(68\) | −17.5873 | − | 14.7575i | −2.13278 | − | 1.78961i | ||||
\(69\) | 0.688216 | + | 1.29902i | 0.0828514 | + | 0.156384i | ||||
\(70\) | −3.16135 | + | 2.37337i | −0.377853 | + | 0.283673i | ||||
\(71\) | 8.29935 | − | 14.3749i | 0.984951 | − | 1.70599i | 0.342799 | − | 0.939409i | \(-0.388625\pi\) |
0.642152 | − | 0.766577i | \(-0.278042\pi\) | |||||||
\(72\) | 23.3243 | − | 6.61277i | 2.74879 | − | 0.779323i | ||||
\(73\) | −0.0300222 | −0.00351383 | −0.00175691 | − | 0.999998i | \(-0.500559\pi\) | ||||
−0.00175691 | + | 0.999998i | \(0.500559\pi\) | |||||||
\(74\) | −2.94591 | − | 16.7071i | −0.342455 | − | 1.94216i | ||||
\(75\) | 1.69830 | − | 7.93159i | 0.196103 | − | 0.915862i | ||||
\(76\) | 4.85904 | − | 27.5570i | 0.557371 | − | 3.16101i | ||||
\(77\) | −1.45998 | + | 6.27256i | −0.166380 | + | 0.714824i | ||||
\(78\) | −19.8631 | − | 8.05976i | −2.24906 | − | 0.912588i | ||||
\(79\) | 1.72084 | + | 9.75936i | 0.193609 | + | 1.09801i | 0.914385 | + | 0.404845i | \(0.132675\pi\) |
−0.720776 | + | 0.693168i | \(0.756214\pi\) | |||||||
\(80\) | −3.19735 | + | 5.53797i | −0.357475 | + | 0.619164i | ||||
\(81\) | −7.92114 | − | 4.27265i | −0.880126 | − | 0.474739i | ||||
\(82\) | 2.58089 | + | 4.47023i | 0.285012 | + | 0.493655i | ||||
\(83\) | 3.58129 | + | 1.30348i | 0.393098 | + | 0.143076i | 0.531004 | − | 0.847370i | \(-0.321815\pi\) |
−0.137906 | + | 0.990445i | \(0.544037\pi\) | |||||||
\(84\) | 20.9195 | + | 9.83876i | 2.28251 | + | 1.07350i | ||||
\(85\) | −1.96256 | − | 1.64678i | −0.212869 | − | 0.178619i | ||||
\(86\) | 5.75559 | − | 2.09487i | 0.620642 | − | 0.225895i | ||||
\(87\) | 14.1175 | − | 4.56375i | 1.51356 | − | 0.489286i | ||||
\(88\) | 3.41584 | + | 19.3722i | 0.364130 | + | 2.06508i | ||||
\(89\) | 5.09080 | − | 8.81753i | 0.539624 | − | 0.934656i | −0.459300 | − | 0.888281i | \(-0.651900\pi\) |
0.998924 | − | 0.0463749i | \(-0.0147669\pi\) | |||||||
\(90\) | 4.31243 | − | 1.22264i | 0.454570 | − | 0.128877i | ||||
\(91\) | −5.58107 | − | 11.0022i | −0.585055 | − | 1.15334i | ||||
\(92\) | 0.743503 | + | 4.21661i | 0.0775155 | + | 0.439612i | ||||
\(93\) | −3.27533 | + | 5.22424i | −0.339636 | + | 0.541728i | ||||
\(94\) | 0.826278 | − | 4.68605i | 0.0852240 | − | 0.483330i | ||||
\(95\) | 0.542218 | − | 3.07507i | 0.0556304 | − | 0.315495i | ||||
\(96\) | 24.2119 | + | 0.881717i | 2.47112 | + | 0.0899898i | ||||
\(97\) | 2.32036 | + | 13.1594i | 0.235597 | + | 1.33614i | 0.841353 | + | 0.540486i | \(0.181760\pi\) |
−0.605756 | + | 0.795650i | \(0.707129\pi\) | |||||||
\(98\) | 7.49599 | + | 17.0000i | 0.757210 | + | 1.71726i | ||||
\(99\) | 4.10159 | − | 6.04184i | 0.412226 | − | 0.607228i | ||||
\(100\) | 11.8124 | − | 20.4597i | 1.18124 | − | 2.04597i | ||||
\(101\) | 0.728943 | + | 4.13404i | 0.0725325 | + | 0.411352i | 0.999357 | + | 0.0358573i | \(0.0114162\pi\) |
−0.926824 | + | 0.375495i | \(0.877473\pi\) | |||||||
\(102\) | −4.38049 | + | 20.4583i | −0.433733 | + | 2.02567i | ||||
\(103\) | 14.9851 | − | 5.45414i | 1.47653 | − | 0.537413i | 0.526664 | − | 0.850073i | \(-0.323442\pi\) |
0.949865 | + | 0.312661i | \(0.101220\pi\) | |||||||
\(104\) | −28.8657 | − | 24.2212i | −2.83051 | − | 2.37508i | ||||
\(105\) | 2.33440 | + | 1.09790i | 0.227814 | + | 0.107144i | ||||
\(106\) | 1.98260 | + | 0.721608i | 0.192567 | + | 0.0700887i | ||||
\(107\) | −4.81591 | − | 8.34141i | −0.465572 | − | 0.806394i | 0.533655 | − | 0.845702i | \(-0.320818\pi\) |
−0.999227 | + | 0.0393080i | \(0.987485\pi\) | |||||||
\(108\) | −18.1244 | − | 18.9375i | −1.74402 | − | 1.82226i | ||||
\(109\) | 1.19376 | − | 2.06765i | 0.114341 | − | 0.198045i | −0.803175 | − | 0.595743i | \(-0.796858\pi\) |
0.917516 | + | 0.397698i | \(0.130191\pi\) | |||||||
\(110\) | 0.631555 | + | 3.58173i | 0.0602164 | + | 0.341504i | ||||
\(111\) | −8.73408 | + | 6.80282i | −0.829002 | + | 0.645695i | ||||
\(112\) | 21.9438 | + | 20.5366i | 2.07349 | + | 1.94052i | ||||
\(113\) | −0.482679 | + | 2.73741i | −0.0454066 | + | 0.257514i | −0.999058 | − | 0.0434007i | \(-0.986181\pi\) |
0.953651 | + | 0.300915i | \(0.0972919\pi\) | |||||||
\(114\) | −24.2635 | + | 7.84364i | −2.27249 | + | 0.734624i | ||||
\(115\) | 0.0829670 | + | 0.470529i | 0.00773671 | + | 0.0438771i | ||||
\(116\) | 43.2132 | 4.01224 | ||||||||
\(117\) | 1.42063 | + | 13.9163i | 0.131338 | + | 1.28656i | ||||
\(118\) | −5.17233 | + | 8.95873i | −0.476151 | + | 0.824718i | ||||
\(119\) | −9.62928 | + | 7.22916i | −0.882715 | + | 0.662696i | ||||
\(120\) | 7.87419 | + | 0.286751i | 0.718812 | + | 0.0261767i | ||||
\(121\) | −3.88751 | − | 3.26201i | −0.353410 | − | 0.296546i | ||||
\(122\) | −2.54701 | + | 14.4448i | −0.230595 | + | 1.30777i | ||||
\(123\) | 1.78927 | − | 2.85393i | 0.161333 | − | 0.257330i | ||||
\(124\) | −13.7574 | + | 11.5438i | −1.23545 | + | 1.03667i | ||||
\(125\) | 2.72548 | − | 4.72067i | 0.243774 | − | 0.422229i | ||||
\(126\) | −1.00198 | − | 21.0431i | −0.0892638 | − | 1.87467i | ||||
\(127\) | 1.34977 | + | 2.33786i | 0.119772 | + | 0.207452i | 0.919677 | − | 0.392675i | \(-0.128450\pi\) |
−0.799905 | + | 0.600127i | \(0.795117\pi\) | |||||||
\(128\) | 9.64555 | + | 3.51069i | 0.852555 | + | 0.310304i | ||||
\(129\) | −2.96635 | − | 2.67895i | −0.261172 | − | 0.235868i | ||||
\(130\) | −5.33698 | − | 4.47826i | −0.468084 | − | 0.392769i | ||||
\(131\) | −1.09104 | + | 6.18762i | −0.0953250 | + | 0.540615i | 0.899322 | + | 0.437286i | \(0.144060\pi\) |
−0.994647 | + | 0.103329i | \(0.967051\pi\) | |||||||
\(132\) | 16.7798 | − | 13.0695i | 1.46049 | − | 1.13755i | ||||
\(133\) | −13.4986 | − | 5.75840i | −1.17048 | − | 0.499316i | ||||
\(134\) | 11.6785 | 1.00887 | ||||||||
\(135\) | −2.02249 | − | 2.11322i | −0.174068 | − | 0.181877i | ||||
\(136\) | −18.3889 | + | 31.8505i | −1.57684 | + | 2.73116i | ||||
\(137\) | −4.19064 | + | 3.51637i | −0.358031 | + | 0.300424i | −0.804005 | − | 0.594622i | \(-0.797302\pi\) |
0.445974 | + | 0.895046i | \(0.352857\pi\) | |||||||
\(138\) | 3.07827 | − | 2.39761i | 0.262040 | − | 0.204098i | ||||
\(139\) | −7.02888 | − | 5.89793i | −0.596182 | − | 0.500256i | 0.294034 | − | 0.955795i | \(-0.405002\pi\) |
−0.890216 | + | 0.455539i | \(0.849447\pi\) | |||||||
\(140\) | 5.48583 | + | 5.13403i | 0.463637 | + | 0.433905i | ||||
\(141\) | −2.95462 | + | 0.955137i | −0.248824 | + | 0.0804371i | ||||
\(142\) | −41.3991 | − | 15.0680i | −3.47414 | − | 1.26448i | ||||
\(143\) | −11.3502 | −0.949154 | ||||||||
\(144\) | −14.8475 | − | 30.6743i | −1.23730 | − | 2.55619i | ||||
\(145\) | 4.82213 | 0.400456 | ||||||||
\(146\) | 0.0138370 | + | 0.0784738i | 0.00114516 | + | 0.00649454i | ||||
\(147\) | 7.51292 | − | 9.51609i | 0.619655 | − | 0.784874i | ||||
\(148\) | −30.2998 | + | 11.0282i | −2.49062 | + | 0.906513i | ||||
\(149\) | 18.0120 | + | 15.1139i | 1.47560 | + | 1.23818i | 0.910732 | + | 0.412998i | \(0.135518\pi\) |
0.564870 | + | 0.825180i | \(0.308926\pi\) | |||||||
\(150\) | −21.5148 | − | 0.783497i | −1.75668 | − | 0.0639722i | ||||
\(151\) | 20.4408 | + | 7.43983i | 1.66345 | + | 0.605445i | 0.990899 | − | 0.134610i | \(-0.0429782\pi\) |
0.672547 | + | 0.740055i | \(0.265200\pi\) | |||||||
\(152\) | −44.8251 | −3.63579 | ||||||||
\(153\) | 13.1354 | − | 3.72408i | 1.06194 | − | 0.301074i | ||||
\(154\) | 17.0685 | + | 0.925199i | 1.37542 | + | 0.0745546i | ||||
\(155\) | −1.53518 | + | 1.28817i | −0.123309 | + | 0.103468i | ||||
\(156\) | −8.53038 | + | 39.8395i | −0.682977 | + | 3.18972i | ||||
\(157\) | 3.13115 | + | 2.62735i | 0.249893 | + | 0.209685i | 0.759126 | − | 0.650943i | \(-0.225627\pi\) |
−0.509233 | + | 0.860629i | \(0.670071\pi\) | |||||||
\(158\) | 24.7165 | − | 8.99607i | 1.96634 | − | 0.715689i | ||||
\(159\) | −0.189580 | − | 1.36371i | −0.0150347 | − | 0.108149i | ||||
\(160\) | 7.39947 | + | 2.69319i | 0.584979 | + | 0.212915i | ||||
\(161\) | 2.24228 | + | 0.121543i | 0.176716 | + | 0.00957891i | ||||
\(162\) | −7.51732 | + | 22.6740i | −0.590616 | + | 1.78144i | ||||
\(163\) | 11.7265 | + | 20.3109i | 0.918490 | + | 1.59087i | 0.801710 | + | 0.597714i | \(0.203924\pi\) |
0.116780 | + | 0.993158i | \(0.462743\pi\) | |||||||
\(164\) | 7.51549 | − | 6.30625i | 0.586861 | − | 0.492435i | ||||
\(165\) | 1.87244 | − | 1.45841i | 0.145770 | − | 0.113537i | ||||
\(166\) | 1.75653 | − | 9.96176i | 0.136333 | − | 0.773183i | ||||
\(167\) | −3.92040 | + | 22.2337i | −0.303370 | + | 1.72049i | 0.327712 | + | 0.944778i | \(0.393722\pi\) |
−0.631082 | + | 0.775716i | \(0.717389\pi\) | |||||||
\(168\) | 9.70225 | − | 35.7391i | 0.748545 | − | 2.75733i | ||||
\(169\) | 6.69699 | − | 5.61944i | 0.515153 | − | 0.432264i | ||||
\(170\) | −3.39993 | + | 5.88885i | −0.260763 | + | 0.451654i | ||||
\(171\) | 11.9356 | + | 11.5952i | 0.912738 | + | 0.886706i | ||||
\(172\) | −5.82074 | − | 10.0818i | −0.443827 | − | 0.768732i | ||||
\(173\) | 4.70778 | − | 3.95029i | 0.357926 | − | 0.300335i | −0.446038 | − | 0.895014i | \(-0.647165\pi\) |
0.803963 | + | 0.594679i | \(0.202721\pi\) | |||||||
\(174\) | −18.4357 | − | 34.7978i | −1.39761 | − | 2.63802i | ||||
\(175\) | −9.04655 | − | 8.46641i | −0.683855 | − | 0.640001i | ||||
\(176\) | 25.9836 | − | 9.45727i | 1.95859 | − | 0.712869i | ||||
\(177\) | 6.74618 | + | 0.245673i | 0.507074 | + | 0.0184659i | ||||
\(178\) | −25.3941 | − | 9.24270i | −1.90337 | − | 0.692770i | ||||
\(179\) | 5.53760 | + | 9.59140i | 0.413900 | + | 0.716895i | 0.995312 | − | 0.0967138i | \(-0.0308331\pi\) |
−0.581413 | + | 0.813609i | \(0.697500\pi\) | |||||||
\(180\) | −3.71181 | − | 7.66840i | −0.276662 | − | 0.571569i | ||||
\(181\) | −3.75623 | − | 6.50598i | −0.279198 | − | 0.483586i | 0.691987 | − | 0.721910i | \(-0.256735\pi\) |
−0.971186 | + | 0.238324i | \(0.923402\pi\) | |||||||
\(182\) | −26.1859 | + | 19.6590i | −1.94103 | + | 1.45722i | ||||
\(183\) | 9.10765 | − | 2.94422i | 0.673257 | − | 0.217643i | ||||
\(184\) | 6.44523 | − | 2.34587i | 0.475149 | − | 0.172940i | ||||
\(185\) | −3.38113 | + | 1.23063i | −0.248586 | + | 0.0904778i | ||||
\(186\) | 15.1650 | + | 6.15343i | 1.11195 | + | 0.451192i | ||||
\(187\) | 1.92368 | + | 10.9097i | 0.140673 | + | 0.797799i | ||||
\(188\) | −9.04398 | −0.659600 | ||||||||
\(189\) | −11.8283 | + | 7.00653i | −0.860382 | + | 0.509650i | ||||
\(190\) | −8.28771 | −0.601254 | ||||||||
\(191\) | −1.83788 | − | 10.4231i | −0.132984 | − | 0.754191i | −0.976242 | − | 0.216682i | \(-0.930477\pi\) |
0.843258 | − | 0.537509i | \(-0.180635\pi\) | |||||||
\(192\) | −3.43612 | − | 24.7171i | −0.247981 | − | 1.78381i | ||||
\(193\) | 5.54928 | − | 2.01977i | 0.399446 | − | 0.145386i | −0.134483 | − | 0.990916i | \(-0.542937\pi\) |
0.533929 | + | 0.845529i | \(0.320715\pi\) | |||||||
\(194\) | 33.3274 | − | 12.1302i | 2.39277 | − | 0.870898i | ||||
\(195\) | −0.951900 | + | 4.44567i | −0.0681670 | + | 0.318361i | ||||
\(196\) | 29.3463 | − | 19.6417i | 2.09616 | − | 1.40298i | ||||
\(197\) | −5.54422 | − | 9.60287i | −0.395009 | − | 0.684176i | 0.598093 | − | 0.801427i | \(-0.295925\pi\) |
−0.993102 | + | 0.117251i | \(0.962592\pi\) | |||||||
\(198\) | −17.6829 | − | 7.93634i | −1.25667 | − | 0.564011i | ||||
\(199\) | 6.28273 | + | 10.8820i | 0.445371 | + | 0.771405i | 0.998078 | − | 0.0619706i | \(-0.0197385\pi\) |
−0.552707 | + | 0.833376i | \(0.686405\pi\) | |||||||
\(200\) | −35.5627 | − | 12.9438i | −2.51466 | − | 0.915263i | ||||
\(201\) | −3.56783 | − | 6.73437i | −0.251656 | − | 0.475006i | ||||
\(202\) | 10.4698 | − | 3.81071i | 0.736656 | − | 0.268121i | ||||
\(203\) | 5.13778 | − | 22.0736i | 0.360602 | − | 1.54926i | ||||
\(204\) | 39.7392 | + | 1.44717i | 2.78230 | + | 0.101322i | ||||
\(205\) | 0.838649 | − | 0.703710i | 0.0585738 | − | 0.0491493i | ||||
\(206\) | −21.1629 | − | 36.6553i | −1.47449 | − | 2.55390i | ||||
\(207\) | −2.32300 | − | 1.04259i | −0.161459 | − | 0.0724652i | ||||
\(208\) | −26.4841 | + | 45.8718i | −1.83634 | + | 3.18063i | ||||
\(209\) | −10.3431 | + | 8.67891i | −0.715448 | + | 0.600332i | ||||
\(210\) | 1.79385 | − | 6.60781i | 0.123788 | − | 0.455982i | ||||
\(211\) | −1.19879 | + | 6.79870i | −0.0825283 | + | 0.468041i | 0.915334 | + | 0.402695i | \(0.131926\pi\) |
−0.997863 | + | 0.0653466i | \(0.979185\pi\) | |||||||
\(212\) | 0.696344 | − | 3.94916i | 0.0478251 | − | 0.271230i | ||||
\(213\) | 3.95866 | + | 28.4759i | 0.271243 | + | 1.95114i | ||||
\(214\) | −19.5837 | + | 16.4326i | −1.33871 | + | 1.12331i | ||||
\(215\) | −0.649533 | − | 1.12502i | −0.0442978 | − | 0.0767260i | ||||
\(216\) | −24.8338 | + | 33.8606i | −1.68972 | + | 2.30392i | ||||
\(217\) | 4.26101 | + | 8.39989i | 0.289256 | + | 0.570222i | ||||
\(218\) | −5.95475 | − | 2.16735i | −0.403306 | − | 0.146792i | ||||
\(219\) | 0.0410243 | − | 0.0319531i | 0.00277216 | − | 0.00215919i | ||||
\(220\) | 6.49577 | − | 2.36427i | 0.437945 | − | 0.159399i | ||||
\(221\) | −16.2561 | − | 13.6405i | −1.09351 | − | 0.917561i | ||||
\(222\) | 21.8071 | + | 19.6943i | 1.46360 | + | 1.32179i | ||||
\(223\) | 8.27602 | − | 6.94440i | 0.554203 | − | 0.465032i | −0.322158 | − | 0.946686i | \(-0.604408\pi\) |
0.876361 | + | 0.481654i | \(0.159964\pi\) | |||||||
\(224\) | 20.2121 | − | 31.0021i | 1.35048 | − | 2.07141i | ||||
\(225\) | 6.12106 | + | 12.6458i | 0.408071 | + | 0.843052i | ||||
\(226\) | 7.37768 | 0.490756 | ||||||||
\(227\) | −23.2433 | − | 8.45988i | −1.54271 | − | 0.561502i | −0.576019 | − | 0.817436i | \(-0.695395\pi\) |
−0.966694 | + | 0.255934i | \(0.917617\pi\) | |||||||
\(228\) | 22.6897 | + | 42.8273i | 1.50266 | + | 2.83631i | ||||
\(229\) | −17.8752 | − | 14.9991i | −1.18123 | − | 0.991166i | −0.999970 | − | 0.00772977i | \(-0.997540\pi\) |
−0.181255 | − | 0.983436i | \(-0.558016\pi\) | |||||||
\(230\) | 1.19166 | − | 0.433729i | 0.0785757 | − | 0.0285992i | ||||
\(231\) | −4.68097 | − | 10.1251i | −0.307985 | − | 0.666184i | ||||
\(232\) | −12.0206 | − | 68.1723i | −0.789192 | − | 4.47573i | ||||
\(233\) | −2.09530 | −0.137268 | −0.0686339 | − | 0.997642i | \(-0.521864\pi\) | ||||
−0.0686339 | + | 0.997642i | \(0.521864\pi\) | |||||||
\(234\) | 35.7204 | − | 10.1273i | 2.33512 | − | 0.662040i | ||||
\(235\) | −1.00921 | −0.0658338 | ||||||||
\(236\) | 18.4759 | + | 6.72468i | 1.20268 | + | 0.437739i | ||||
\(237\) | −12.7385 | − | 11.5043i | −0.827456 | − | 0.747286i | ||||
\(238\) | 23.3341 | + | 21.8377i | 1.51253 | + | 1.41553i | ||||
\(239\) | 0.304194 | + | 0.255249i | 0.0196767 | + | 0.0165107i | 0.652573 | − | 0.757726i | \(-0.273690\pi\) |
−0.632896 | + | 0.774237i | \(0.718134\pi\) | |||||||
\(240\) | −1.52509 | − | 10.9704i | −0.0984439 | − | 0.708139i | ||||
\(241\) | 10.3303 | − | 8.66818i | 0.665435 | − | 0.558366i | −0.246275 | − | 0.969200i | \(-0.579207\pi\) |
0.911710 | + | 0.410834i | \(0.134762\pi\) | |||||||
\(242\) | −6.73471 | + | 11.6649i | −0.432924 | + | 0.749846i | ||||
\(243\) | 15.3714 | − | 2.59216i | 0.986077 | − | 0.166287i | ||||
\(244\) | 27.8782 | 1.78472 | ||||||||
\(245\) | 3.27473 | − | 2.19180i | 0.209215 | − | 0.140029i | ||||
\(246\) | −8.28444 | − | 3.36154i | −0.528197 | − | 0.214324i | ||||
\(247\) | 4.49126 | − | 25.4712i | 0.285772 | − | 1.62069i | ||||
\(248\) | 22.0383 | + | 18.4923i | 1.39943 | + | 1.17426i | ||||
\(249\) | −6.28103 | + | 2.03046i | −0.398044 | + | 0.128675i | ||||
\(250\) | −13.5953 | − | 4.94829i | −0.859844 | − | 0.312958i | ||||
\(251\) | 8.35309 | + | 14.4680i | 0.527242 | + | 0.913210i | 0.999496 | + | 0.0317475i | \(0.0101072\pi\) |
−0.472254 | + | 0.881463i | \(0.656559\pi\) | |||||||
\(252\) | −39.0574 | + | 8.82068i | −2.46039 | + | 0.555651i | ||||
\(253\) | 1.03300 | − | 1.78920i | 0.0649440 | − | 0.112486i | ||||
\(254\) | 5.48875 | − | 4.60561i | 0.344395 | − | 0.288982i | ||||
\(255\) | 4.43447 | + | 0.161488i | 0.277697 | + | 0.0101128i | ||||
\(256\) | −0.272847 | + | 1.54739i | −0.0170530 | + | 0.0967122i | ||||
\(257\) | −10.6419 | − | 8.92963i | −0.663825 | − | 0.557015i | 0.247406 | − | 0.968912i | \(-0.420422\pi\) |
−0.911230 | + | 0.411897i | \(0.864866\pi\) | |||||||
\(258\) | −5.63523 | + | 8.98834i | −0.350834 | + | 0.559590i | ||||
\(259\) | 2.03084 | + | 16.7885i | 0.126190 | + | 1.04319i | ||||
\(260\) | −6.62088 | + | 11.4677i | −0.410610 | + | 0.711197i | ||||
\(261\) | −14.4338 | + | 21.2617i | −0.893431 | + | 1.31607i | ||||
\(262\) | 16.6764 | 1.03027 | ||||||||
\(263\) | 0.703397 | + | 3.98916i | 0.0433733 | + | 0.245982i | 0.998784 | − | 0.0492975i | \(-0.0156982\pi\) |
−0.955411 | + | 0.295280i | \(0.904587\pi\) | |||||||
\(264\) | −25.2858 | − | 22.8359i | −1.55623 | − | 1.40545i | ||||
\(265\) | 0.0777046 | − | 0.440684i | 0.00477335 | − | 0.0270710i | ||||
\(266\) | −8.83022 | + | 37.9375i | −0.541415 | + | 2.32610i | ||||
\(267\) | 2.42823 | + | 17.4671i | 0.148605 | + | 1.06897i | ||||
\(268\) | −3.85445 | − | 21.8597i | −0.235448 | − | 1.33529i | ||||
\(269\) | 4.85557 | − | 8.41009i | 0.296049 | − | 0.512772i | −0.679179 | − | 0.733972i | \(-0.737664\pi\) |
0.975228 | + | 0.221200i | \(0.0709975\pi\) | |||||||
\(270\) | −4.59152 | + | 6.26048i | −0.279431 | + | 0.381001i | ||||
\(271\) | −5.09488 | − | 8.82460i | −0.309492 | − | 0.536056i | 0.668759 | − | 0.743479i | \(-0.266826\pi\) |
−0.978251 | + | 0.207423i | \(0.933492\pi\) | |||||||
\(272\) | 48.5801 | + | 17.6817i | 2.94560 | + | 1.07211i | ||||
\(273\) | 19.3361 | + | 9.09406i | 1.17028 | + | 0.550398i | ||||
\(274\) | 11.1227 | + | 9.33309i | 0.671949 | + | 0.563833i | ||||
\(275\) | −10.7120 | + | 3.89886i | −0.645960 | + | 0.235110i | ||||
\(276\) | −5.50378 | − | 4.97054i | −0.331289 | − | 0.299191i | ||||
\(277\) | −0.278011 | − | 1.57668i | −0.0167040 | − | 0.0947333i | 0.975316 | − | 0.220814i | \(-0.0708713\pi\) |
−0.992020 | + | 0.126081i | \(0.959760\pi\) | |||||||
\(278\) | −12.1768 | + | 21.0908i | −0.730316 | + | 1.26494i | ||||
\(279\) | −1.08462 | − | 10.6247i | −0.0649344 | − | 0.636086i | ||||
\(280\) | 6.57336 | − | 10.0825i | 0.392833 | − | 0.602543i | ||||
\(281\) | 0.636375 | + | 3.60906i | 0.0379629 | + | 0.215298i | 0.997888 | − | 0.0649584i | \(-0.0206915\pi\) |
−0.959925 | + | 0.280257i | \(0.909580\pi\) | |||||||
\(282\) | 3.85836 | + | 7.28276i | 0.229762 | + | 0.433682i | ||||
\(283\) | 1.11488 | − | 6.32282i | 0.0662730 | − | 0.375853i | −0.933574 | − | 0.358384i | \(-0.883328\pi\) |
0.999847 | − | 0.0174692i | \(-0.00556091\pi\) | |||||||
\(284\) | −14.5405 | + | 82.4633i | −0.862820 | + | 4.89329i | ||||
\(285\) | 2.53193 | + | 4.77907i | 0.149978 | + | 0.283088i | ||||
\(286\) | 5.23126 | + | 29.6679i | 0.309331 | + | 1.75430i | ||||
\(287\) | −2.32773 | − | 4.58875i | −0.137402 | − | 0.270865i | ||||
\(288\) | −34.0232 | + | 24.5643i | −2.00484 | + | 1.44747i | ||||
\(289\) | −1.85599 | + | 3.21467i | −0.109176 | + | 0.189098i | ||||
\(290\) | −2.22249 | − | 12.6044i | −0.130509 | − | 0.740155i | ||||
\(291\) | −17.1765 | − | 15.5123i | −1.00690 | − | 0.909347i | ||||
\(292\) | 0.142319 | − | 0.0517999i | 0.00832859 | − | 0.00303136i | ||||
\(293\) | 4.27136 | + | 3.58410i | 0.249536 | + | 0.209385i | 0.758972 | − | 0.651123i | \(-0.225702\pi\) |
−0.509437 | + | 0.860508i | \(0.670146\pi\) | |||||||
\(294\) | −28.3364 | − | 15.2518i | −1.65261 | − | 0.889504i | ||||
\(295\) | 2.06171 | + | 0.750403i | 0.120038 | + | 0.0436901i | ||||
\(296\) | 25.8264 | + | 44.7326i | 1.50113 | + | 2.60003i | ||||
\(297\) | 0.825747 | + | 12.6214i | 0.0479147 | + | 0.732366i | ||||
\(298\) | 31.2040 | − | 54.0468i | 1.80760 | − | 3.13085i | ||||
\(299\) | 0.687227 | + | 3.89746i | 0.0397434 | + | 0.225396i | ||||
\(300\) | 5.63434 | + | 40.5297i | 0.325299 | + | 2.33998i | ||||
\(301\) | −5.84192 | + | 1.77461i | −0.336723 | + | 0.102287i | ||||
\(302\) | 10.0257 | − | 56.8583i | 0.576911 | − | 3.27183i | ||||
\(303\) | −5.39600 | − | 4.87320i | −0.309992 | − | 0.279958i | ||||
\(304\) | 10.9415 | + | 62.0525i | 0.627540 | + | 3.55895i | ||||
\(305\) | 3.11091 | 0.178130 | ||||||||
\(306\) | −15.7883 | − | 32.6177i | −0.902555 | − | 1.86463i | ||||
\(307\) | −6.29501 | + | 10.9033i | −0.359275 | + | 0.622283i | −0.987840 | − | 0.155474i | \(-0.950309\pi\) |
0.628565 | + | 0.777757i | \(0.283643\pi\) | |||||||
\(308\) | −3.90161 | − | 32.2539i | −0.222315 | − | 1.83783i | ||||
\(309\) | −14.6717 | + | 23.4018i | −0.834646 | + | 1.33128i | ||||
\(310\) | 4.07466 | + | 3.41904i | 0.231425 | + | 0.194189i | ||||
\(311\) | −0.850542 | + | 4.82367i | −0.0482298 | + | 0.273525i | −0.999380 | − | 0.0352031i | \(-0.988792\pi\) |
0.951150 | + | 0.308728i | \(0.0999033\pi\) | |||||||
\(312\) | 65.2230 | + | 2.37520i | 3.69253 | + | 0.134469i | ||||
\(313\) | 6.30960 | − | 5.29438i | 0.356640 | − | 0.299256i | −0.446810 | − | 0.894629i | \(-0.647440\pi\) |
0.803450 | + | 0.595373i | \(0.202996\pi\) | |||||||
\(314\) | 5.42439 | − | 9.39532i | 0.306116 | − | 0.530209i | ||||
\(315\) | −4.35839 | + | 0.984294i | −0.245568 | + | 0.0554587i | ||||
\(316\) | −24.9963 | − | 43.2948i | −1.40615 | − | 2.43552i | ||||
\(317\) | 18.0998 | + | 6.58777i | 1.01658 | + | 0.370006i | 0.795958 | − | 0.605353i | \(-0.206968\pi\) |
0.220626 | + | 0.975359i | \(0.429190\pi\) | |||||||
\(318\) | −3.47718 | + | 1.12406i | −0.194990 | + | 0.0630343i | ||||
\(319\) | −15.9730 | − | 13.4030i | −0.894317 | − | 0.750421i | ||||
\(320\) | 1.40839 | − | 7.98737i | 0.0787313 | − | 0.446507i | ||||
\(321\) | 15.4587 | + | 6.27259i | 0.862819 | + | 0.350102i | ||||
\(322\) | −0.715757 | − | 5.91702i | −0.0398876 | − | 0.329743i | ||||
\(323\) | −25.2439 | −1.40461 | ||||||||
\(324\) | 44.9219 | + | 6.58733i | 2.49566 | + | 0.365963i | ||||
\(325\) | 10.9183 | − | 18.9111i | 0.605640 | − | 1.04900i | ||||
\(326\) | 47.6852 | − | 40.0126i | 2.64104 | − | 2.21609i | ||||
\(327\) | 0.569404 | + | 4.09591i | 0.0314881 | + | 0.226504i | ||||
\(328\) | −12.0392 | − | 10.1021i | −0.664754 | − | 0.557795i | ||||
\(329\) | −1.07527 | + | 4.61974i | −0.0592818 | + | 0.254694i | ||||
\(330\) | −4.67509 | − | 4.22213i | −0.257355 | − | 0.232421i | ||||
\(331\) | −1.10885 | − | 0.403590i | −0.0609481 | − | 0.0221833i | 0.311366 | − | 0.950290i | \(-0.399213\pi\) |
−0.372314 | + | 0.928107i | \(0.621436\pi\) | |||||||
\(332\) | −19.2260 | −1.05516 | ||||||||
\(333\) | 4.69447 | − | 18.5917i | 0.257255 | − | 1.01882i | ||||
\(334\) | 59.9227 | 3.27882 | ||||||||
\(335\) | −0.430116 | − | 2.43931i | −0.0234997 | − | 0.133274i | ||||
\(336\) | −51.8428 | − | 4.70738i | −2.82826 | − | 0.256808i | ||||
\(337\) | 14.3722 | − | 5.23106i | 0.782905 | − | 0.284954i | 0.0805215 | − | 0.996753i | \(-0.474341\pi\) |
0.702383 | + | 0.711799i | \(0.252119\pi\) | |||||||
\(338\) | −17.7750 | − | 14.9150i | −0.966835 | − | 0.811271i | ||||
\(339\) | −2.25391 | − | 4.25430i | −0.122415 | − | 0.231062i | ||||
\(340\) | 12.1448 | + | 4.42034i | 0.658643 | + | 0.239727i | ||||
\(341\) | 8.66563 | 0.469270 | ||||||||
\(342\) | 24.8072 | − | 36.5421i | 1.34142 | − | 1.97597i | ||||
\(343\) | −6.54401 | − | 17.3256i | −0.353343 | − | 0.935494i | ||||
\(344\) | −14.2857 | + | 11.9872i | −0.770235 | + | 0.646304i | ||||
\(345\) | −0.614164 | − | 0.554659i | −0.0330655 | − | 0.0298618i | ||||
\(346\) | −12.4953 | − | 10.4848i | −0.671752 | − | 0.563667i | ||||
\(347\) | −15.9812 | + | 5.81669i | −0.857918 | + | 0.312256i | −0.733264 | − | 0.679944i | \(-0.762004\pi\) |
−0.124653 | + | 0.992200i | \(0.539782\pi\) | |||||||
\(348\) | −59.0493 | + | 45.9925i | −3.16538 | + | 2.46546i | ||||
\(349\) | −31.9958 | − | 11.6455i | −1.71270 | − | 0.623371i | −0.715530 | − | 0.698582i | \(-0.753815\pi\) |
−0.997168 | + | 0.0752106i | \(0.976037\pi\) | |||||||
\(350\) | −17.9605 | + | 27.5486i | −0.960030 | + | 1.47253i | ||||
\(351\) | −16.7526 | − | 17.5041i | −0.894186 | − | 0.934300i | ||||
\(352\) | −17.0247 | − | 29.4876i | −0.907418 | − | 1.57169i | ||||
\(353\) | −10.0557 | + | 8.43773i | −0.535210 | + | 0.449095i | −0.869896 | − | 0.493235i | \(-0.835814\pi\) |
0.334686 | + | 0.942330i | \(0.391370\pi\) | |||||||
\(354\) | −2.46712 | − | 17.7468i | −0.131126 | − | 0.943232i | ||||
\(355\) | −1.62257 | + | 9.20202i | −0.0861168 | + | 0.488393i | ||||
\(356\) | −8.91911 | + | 50.5828i | −0.472712 | + | 2.68088i | ||||
\(357\) | 5.46397 | − | 20.1270i | 0.289184 | − | 1.06523i | ||||
\(358\) | 22.5184 | − | 18.8951i | 1.19013 | − | 0.998639i | ||||
\(359\) | 14.2851 | − | 24.7425i | 0.753937 | − | 1.30586i | −0.191964 | − | 0.981402i | \(-0.561486\pi\) |
0.945901 | − | 0.324455i | \(-0.105181\pi\) | |||||||
\(360\) | −11.0650 | + | 7.98880i | −0.583177 | + | 0.421047i | ||||
\(361\) | −5.88371 | − | 10.1909i | −0.309669 | − | 0.536362i | ||||
\(362\) | −15.2745 | + | 12.8168i | −0.802810 | + | 0.673638i | ||||
\(363\) | 8.78397 | + | 0.319882i | 0.461039 | + | 0.0167895i | ||||
\(364\) | 45.4399 | + | 42.5259i | 2.38170 | + | 2.22896i | ||||
\(365\) | 0.0158813 | − | 0.00578032i | 0.000831265 | − | 0.000302556i | ||||
\(366\) | −11.8935 | − | 22.4492i | −0.621681 | − | 1.17344i | ||||
\(367\) | 12.0012 | + | 4.36809i | 0.626459 | + | 0.228012i | 0.635689 | − | 0.771945i | \(-0.280716\pi\) |
−0.00923054 | + | 0.999957i | \(0.502938\pi\) | |||||||
\(368\) | −4.82069 | − | 8.34968i | −0.251296 | − | 0.435257i | ||||
\(369\) | 0.592512 | + | 5.80415i | 0.0308450 | + | 0.302152i | ||||
\(370\) | 4.77504 | + | 8.27062i | 0.248243 | + | 0.429969i | ||||
\(371\) | −1.93447 | − | 0.825229i | −0.100433 | − | 0.0428437i | ||||
\(372\) | 6.51274 | − | 30.4165i | 0.337670 | − | 1.57702i | ||||
\(373\) | 9.32009 | − | 3.39224i | 0.482576 | − | 0.175643i | −0.0892647 | − | 0.996008i | \(-0.528452\pi\) |
0.571841 | + | 0.820365i | \(0.306229\pi\) | |||||||
\(374\) | 27.6299 | − | 10.0565i | 1.42871 | − | 0.520008i | ||||
\(375\) | 1.30001 | + | 9.35140i | 0.0671322 | + | 0.482904i | ||||
\(376\) | 2.51577 | + | 14.2676i | 0.129741 | + | 0.735796i | ||||
\(377\) | 39.9424 | 2.05714 | ||||||||
\(378\) | 23.7657 | + | 27.6883i | 1.22238 | + | 1.42413i | ||||
\(379\) | 0.780021 | 0.0400670 | 0.0200335 | − | 0.999799i | \(-0.493623\pi\) | ||||
0.0200335 | + | 0.999799i | \(0.493623\pi\) | |||||||
\(380\) | 2.73532 | + | 15.5128i | 0.140319 | + | 0.795790i | ||||
\(381\) | −4.33263 | − | 1.75803i | −0.221968 | − | 0.0900667i | ||||
\(382\) | −26.3975 | + | 9.60792i | −1.35062 | + | 0.491584i | ||||
\(383\) | −15.4877 | + | 5.63705i | −0.791382 | + | 0.288040i | −0.705911 | − | 0.708301i | \(-0.749462\pi\) |
−0.0854718 | + | 0.996341i | \(0.527240\pi\) | |||||||
\(384\) | −16.9168 | + | 5.46868i | −0.863283 | + | 0.279072i | ||||
\(385\) | −0.435378 | − | 3.59919i | −0.0221889 | − | 0.183432i | ||||
\(386\) | −7.83704 | − | 13.5742i | −0.398895 | − | 0.690906i | ||||
\(387\) | 6.90466 | + | 0.503557i | 0.350984 | + | 0.0255972i | ||||
\(388\) | −33.7047 | − | 58.3782i | −1.71110 | − | 2.96370i | ||||
\(389\) | 10.4312 | + | 3.79663i | 0.528881 | + | 0.192497i | 0.592639 | − | 0.805468i | \(-0.298086\pi\) |
−0.0637575 | + | 0.997965i | \(0.520308\pi\) | |||||||
\(390\) | 12.0591 | + | 0.439151i | 0.610636 | + | 0.0222373i | ||||
\(391\) | 3.62973 | − | 1.32111i | 0.183563 | − | 0.0668115i | ||||
\(392\) | −39.1496 | − | 40.8324i | −1.97735 | − | 2.06235i | ||||
\(393\) | −5.09471 | − | 9.61639i | −0.256994 | − | 0.485083i | ||||
\(394\) | −22.5453 | + | 18.9177i | −1.13581 | + | 0.953061i | ||||
\(395\) | −2.78932 | − | 4.83124i | −0.140346 | − | 0.243086i | ||||
\(396\) | −9.01893 | + | 35.7180i | −0.453218 | + | 1.79490i | ||||
\(397\) | −13.1577 | + | 22.7899i | −0.660368 | + | 1.14379i | 0.320151 | + | 0.947367i | \(0.396267\pi\) |
−0.980519 | + | 0.196425i | \(0.937067\pi\) | |||||||
\(398\) | 25.5484 | − | 21.4376i | 1.28062 | − | 1.07457i | ||||
\(399\) | 24.5742 | − | 6.49815i | 1.23025 | − | 0.325315i | ||||
\(400\) | −9.23775 | + | 52.3899i | −0.461888 | + | 2.61949i | ||||
\(401\) | 5.76116 | − | 32.6732i | 0.287699 | − | 1.63162i | −0.407785 | − | 0.913078i | \(-0.633699\pi\) |
0.695484 | − | 0.718542i | \(-0.255190\pi\) | |||||||
\(402\) | −15.9583 | + | 12.4297i | −0.795929 | + | 0.619935i | ||||
\(403\) | −12.7161 | + | 10.6701i | −0.633435 | + | 0.531515i | ||||
\(404\) | −10.5884 | − | 18.3396i | −0.526790 | − | 0.912427i | ||||
\(405\) | 5.01280 | + | 0.735076i | 0.249088 | + | 0.0365262i | ||||
\(406\) | −60.0654 | − | 3.25585i | −2.98099 | − | 0.161585i | ||||
\(407\) | 14.6203 | + | 5.32135i | 0.724701 | + | 0.263770i | ||||
\(408\) | −8.77123 | − | 63.0943i | −0.434240 | − | 3.12363i | ||||
\(409\) | 8.54894 | − | 3.11156i | 0.422718 | − | 0.153857i | −0.121897 | − | 0.992543i | \(-0.538898\pi\) |
0.544615 | + | 0.838686i | \(0.316676\pi\) | |||||||
\(410\) | −2.22593 | − | 1.86778i | −0.109931 | − | 0.0922429i | ||||
\(411\) | 1.98384 | − | 9.26517i | 0.0978558 | − | 0.457017i | ||||
\(412\) | −61.6260 | + | 51.7104i | −3.03610 | + | 2.54759i | ||||
\(413\) | 5.63169 | − | 8.63811i | 0.277117 | − | 0.425054i | ||||
\(414\) | −1.65454 | + | 6.55252i | −0.0813160 | + | 0.322039i | ||||
\(415\) | −2.14542 | −0.105314 | ||||||||
\(416\) | 61.2908 | + | 22.3080i | 3.00503 | + | 1.09374i | ||||
\(417\) | 15.8820 | + | 0.578368i | 0.777745 | + | 0.0283228i | ||||
\(418\) | 27.4525 | + | 23.0354i | 1.34275 | + | 1.12670i | ||||
\(419\) | 21.8222 | − | 7.94262i | 1.06608 | − | 0.388023i | 0.251373 | − | 0.967890i | \(-0.419118\pi\) |
0.814711 | + | 0.579868i | \(0.196896\pi\) | |||||||
\(420\) | −12.9604 | − | 1.17682i | −0.632405 | − | 0.0574229i | ||||
\(421\) | 1.25756 | + | 7.13197i | 0.0612897 | + | 0.347591i | 0.999996 | + | 0.00287270i | \(0.000914411\pi\) |
−0.938706 | + | 0.344718i | \(0.887974\pi\) | |||||||
\(422\) | 18.3234 | 0.891968 | ||||||||
\(423\) | 3.02082 | − | 4.44982i | 0.146877 | − | 0.216357i | ||||
\(424\) | −6.42382 | −0.311968 | ||||||||
\(425\) | −20.0277 | − | 7.28948i | −0.971485 | − | 0.353592i | ||||
\(426\) | 72.6076 | − | 23.4718i | 3.51785 | − | 1.13721i | ||||
\(427\) | 3.31455 | − | 14.2404i | 0.160402 | − | 0.689141i | ||||
\(428\) | 37.2218 | + | 31.2328i | 1.79919 | + | 1.50970i | ||||
\(429\) | 15.5097 | − | 12.0802i | 0.748816 | − | 0.583239i | ||||
\(430\) | −2.64129 | + | 2.21631i | −0.127374 | + | 0.106880i | ||||
\(431\) | 6.96860 | − | 12.0700i | 0.335666 | − | 0.581390i | −0.647947 | − | 0.761686i | \(-0.724372\pi\) |
0.983612 | + | 0.180296i | \(0.0577054\pi\) | |||||||
\(432\) | 52.9358 | + | 26.1128i | 2.54687 | + | 1.25635i | ||||
\(433\) | −21.7275 | −1.04416 | −0.522079 | − | 0.852897i | \(-0.674843\pi\) | ||||
−0.522079 | + | 0.852897i | \(0.674843\pi\) | |||||||
\(434\) | 19.9923 | − | 15.0092i | 0.959660 | − | 0.720463i | ||||
\(435\) | −6.58928 | + | 5.13227i | −0.315932 | + | 0.246074i | ||||
\(436\) | −2.09147 | + | 11.8613i | −0.100163 | + | 0.568054i | ||||
\(437\) | 3.60642 | + | 3.02615i | 0.172519 | + | 0.144760i | ||||
\(438\) | −0.102429 | − | 0.0925048i | −0.00489424 | − | 0.00442005i | ||||
\(439\) | 21.5003 | + | 7.82545i | 1.02615 | + | 0.373489i | 0.799614 | − | 0.600514i | \(-0.205037\pi\) |
0.226537 | + | 0.974003i | \(0.427260\pi\) | |||||||
\(440\) | −5.53675 | − | 9.58994i | −0.263954 | − | 0.457182i | ||||
\(441\) | −0.138016 | + | 20.9995i | −0.00657220 | + | 0.999978i | ||||
\(442\) | −28.1621 | + | 48.7781i | −1.33953 | + | 2.32014i | ||||
\(443\) | −11.5538 | + | 9.69476i | −0.548936 | + | 0.460612i | −0.874580 | − | 0.484880i | \(-0.838863\pi\) |
0.325645 | + | 0.945492i | \(0.394419\pi\) | |||||||
\(444\) | 29.6661 | − | 47.3182i | 1.40789 | − | 2.24562i | ||||
\(445\) | −0.995278 | + | 5.64450i | −0.0471807 | + | 0.267575i | ||||
\(446\) | −21.9661 | − | 18.4317i | −1.04012 | − | 0.872768i | ||||
\(447\) | −40.6988 | − | 1.48211i | −1.92499 | − | 0.0701014i | ||||
\(448\) | −35.0621 | − | 14.9572i | −1.65653 | − | 0.706661i | ||||
\(449\) | −10.0220 | + | 17.3586i | −0.472966 | + | 0.819201i | −0.999521 | − | 0.0309396i | \(-0.990150\pi\) |
0.526555 | + | 0.850141i | \(0.323483\pi\) | |||||||
\(450\) | 30.2332 | − | 21.8280i | 1.42521 | − | 1.02898i | ||||
\(451\) | −4.73391 | −0.222911 | ||||||||
\(452\) | −2.43497 | − | 13.8094i | −0.114531 | − | 0.649540i | ||||
\(453\) | −35.8499 | + | 11.5892i | −1.68438 | + | 0.544507i | ||||
\(454\) | −11.4002 | + | 64.6539i | −0.535039 | + | 3.03436i | ||||
\(455\) | 5.07061 | + | 4.74544i | 0.237714 | + | 0.222469i | ||||
\(456\) | 61.2519 | − | 47.7081i | 2.86838 | − | 2.23413i | ||||
\(457\) | 2.15773 | + | 12.2371i | 0.100934 | + | 0.572426i | 0.992767 | + | 0.120060i | \(0.0383087\pi\) |
−0.891832 | + | 0.452366i | \(0.850580\pi\) | |||||||
\(458\) | −30.9669 | + | 53.6362i | −1.44699 | + | 2.50626i | ||||
\(459\) | −13.9855 | + | 19.0691i | −0.652787 | + | 0.890068i | ||||
\(460\) | −1.20515 | − | 2.08738i | −0.0561903 | − | 0.0973244i | ||||
\(461\) | −5.08266 | − | 1.84994i | −0.236723 | − | 0.0861601i | 0.220935 | − | 0.975289i | \(-0.429089\pi\) |
−0.457658 | + | 0.889128i | \(0.651311\pi\) | |||||||
\(462\) | −24.3082 | + | 16.9020i | −1.13092 | + | 0.786353i | ||||
\(463\) | 17.1441 | + | 14.3856i | 0.796753 | + | 0.668555i | 0.947407 | − | 0.320031i | \(-0.103693\pi\) |
−0.150654 | + | 0.988587i | \(0.548138\pi\) | |||||||
\(464\) | −91.4385 | + | 33.2809i | −4.24492 | + | 1.54503i | ||||
\(465\) | 0.726753 | − | 3.39416i | 0.0337023 | − | 0.157400i | ||||
\(466\) | 0.965713 | + | 5.47683i | 0.0447358 | + | 0.253709i | ||||
\(467\) | −9.11920 | + | 15.7949i | −0.421986 | + | 0.730902i | −0.996134 | − | 0.0878502i | \(-0.972000\pi\) |
0.574147 | + | 0.818752i | \(0.305334\pi\) | |||||||
\(468\) | −30.7454 | − | 63.5184i | −1.42121 | − | 2.93614i | ||||
\(469\) | −11.6244 | − | 0.630099i | −0.536763 | − | 0.0290953i | ||||
\(470\) | 0.465140 | + | 2.63794i | 0.0214553 | + | 0.121679i | ||||
\(471\) | −7.07494 | − | 0.257645i | −0.325996 | − | 0.0118717i | ||||
\(472\) | 5.46928 | − | 31.0178i | 0.251744 | − | 1.42771i | ||||
\(473\) | −0.975428 | + | 5.53193i | −0.0448502 | + | 0.254358i | ||||
\(474\) | −24.1996 | + | 38.5990i | −1.11152 | + | 1.77291i | ||||
\(475\) | −4.51076 | − | 25.5818i | −0.206968 | − | 1.17377i | ||||
\(476\) | 33.1742 | − | 50.8838i | 1.52053 | − | 2.33226i | ||||
\(477\) | 1.71048 | + | 1.66169i | 0.0783173 | + | 0.0760836i | ||||
\(478\) | 0.526984 | − | 0.912764i | 0.0241037 | − | 0.0417488i | ||||
\(479\) | 4.17270 | + | 23.6646i | 0.190655 | + | 1.08126i | 0.918471 | + | 0.395488i | \(0.129425\pi\) |
−0.727816 | + | 0.685773i | \(0.759464\pi\) | |||||||
\(480\) | −12.9775 | + | 4.19523i | −0.592340 | + | 0.191485i | ||||
\(481\) | −28.0064 | + | 10.1935i | −1.27698 | + | 0.464783i | ||||
\(482\) | −27.4186 | − | 23.0069i | −1.24888 | − | 1.04794i | ||||
\(483\) | −3.19335 | + | 2.22041i | −0.145303 | + | 0.101032i | ||||
\(484\) | 24.0568 | + | 8.75598i | 1.09349 | + | 0.397999i | ||||
\(485\) | −3.76108 | − | 6.51439i | −0.170782 | − | 0.295803i | ||||
\(486\) | −13.8602 | − | 38.9841i | −0.628709 | − | 1.76835i | ||||
\(487\) | 1.13219 | − | 1.96102i | 0.0513046 | − | 0.0888622i | −0.839233 | − | 0.543773i | \(-0.816995\pi\) |
0.890537 | + | 0.454910i | \(0.150329\pi\) | |||||||
\(488\) | −7.75487 | − | 43.9801i | −0.351047 | − | 1.99088i | ||||
\(489\) | −37.6411 | − | 15.2734i | −1.70219 | − | 0.690689i | ||||
\(490\) | −7.23837 | − | 7.54952i | −0.326996 | − | 0.341052i | ||||
\(491\) | −3.20818 | + | 18.1945i | −0.144783 | + | 0.821106i | 0.822758 | + | 0.568392i | \(0.192434\pi\) |
−0.967541 | + | 0.252714i | \(0.918677\pi\) | |||||||
\(492\) | −3.55782 | + | 16.6161i | −0.160399 | + | 0.749113i | ||||
\(493\) | −6.76958 | − | 38.3922i | −0.304887 | − | 1.72910i | ||||
\(494\) | −68.6482 | −3.08863 | ||||||||
\(495\) | −1.00642 | + | 3.98575i | −0.0452351 | + | 0.179146i | ||||
\(496\) | 20.2200 | − | 35.0220i | 0.907903 | − | 1.57253i | ||||
\(497\) | 40.3941 | + | 17.2318i | 1.81192 | + | 0.772951i | ||||
\(498\) | 8.20223 | + | 15.4819i | 0.367551 | + | 0.693761i | ||||
\(499\) | 21.2450 | + | 17.8266i | 0.951055 | + | 0.798030i | 0.979475 | − | 0.201566i | \(-0.0646031\pi\) |
−0.0284198 | + | 0.999596i | \(0.509048\pi\) | |||||||
\(500\) | −4.77505 | + | 27.0807i | −0.213547 | + | 1.21108i | ||||
\(501\) | −18.3066 | − | 34.5541i | −0.817878 | − | 1.54376i | ||||
\(502\) | 33.9674 | − | 28.5020i | 1.51604 | − | 1.27211i | ||||
\(503\) | −12.7588 | + | 22.0989i | −0.568888 | + | 0.985343i | 0.427789 | + | 0.903879i | \(0.359293\pi\) |
−0.996676 | + | 0.0814637i | \(0.974041\pi\) | |||||||
\(504\) | 24.7799 | + | 59.1626i | 1.10379 | + | 2.63531i | ||||
\(505\) | −1.18155 | − | 2.04650i | −0.0525782 | − | 0.0910681i | ||||
\(506\) | −5.15283 | − | 1.87548i | −0.229071 | − | 0.0833752i | ||||
\(507\) | −3.17034 | + | 14.8065i | −0.140800 | + | 0.657579i | ||||
\(508\) | −10.4322 | − | 8.75368i | −0.462856 | − | 0.388382i | ||||
\(509\) | 3.84749 | − | 21.8202i | 0.170537 | − | 0.967163i | −0.772633 | − | 0.634853i | \(-0.781061\pi\) |
0.943170 | − | 0.332311i | \(-0.107828\pi\) | |||||||
\(510\) | −1.62171 | − | 11.6655i | −0.0718107 | − | 0.516558i | ||||
\(511\) | −0.00953891 | − | 0.0788563i | −0.000421977 | − | 0.00348840i | ||||
\(512\) | 24.6996 | 1.09158 | ||||||||
\(513\) | −28.6505 | − | 3.14118i | −1.26495 | − | 0.138686i | ||||
\(514\) | −18.4360 | + | 31.9321i | −0.813178 | + | 1.40847i | ||||
\(515\) | −6.87681 | + | 5.77033i | −0.303028 | + | 0.254271i | ||||
\(516\) | 18.6841 | + | 7.58135i | 0.822522 | + | 0.333751i | ||||
\(517\) | 3.34296 | + | 2.80507i | 0.147023 | + | 0.123367i | ||||
\(518\) | 42.9469 | − | 13.0461i | 1.88698 | − | 0.573211i | ||||
\(519\) | −2.22865 | + | 10.4085i | −0.0978270 | + | 0.456883i | ||||
\(520\) | 19.9330 | + | 7.25500i | 0.874118 | + | 0.318153i | ||||
\(521\) | 17.2128 | 0.754105 | 0.377052 | − | 0.926192i | \(-0.376938\pi\) | ||||
0.377052 | + | 0.926192i | \(0.376938\pi\) | |||||||
\(522\) | 62.2277 | + | 27.9286i | 2.72363 | + | 1.22240i | ||||
\(523\) | −13.0146 | −0.569089 | −0.284544 | − | 0.958663i | \(-0.591842\pi\) | ||||
−0.284544 | + | 0.958663i | \(0.591842\pi\) | |||||||
\(524\) | −5.50399 | − | 31.2147i | −0.240443 | − | 1.36362i | ||||
\(525\) | 21.3728 | + | 1.94067i | 0.932784 | + | 0.0846976i | ||||
\(526\) | 10.1029 | − | 3.67717i | 0.440509 | − | 0.160332i | ||||
\(527\) | 12.4112 | + | 10.4142i | 0.540639 | + | 0.453650i | ||||
\(528\) | −25.4402 | + | 40.5779i | −1.10714 | + | 1.76592i | ||||
\(529\) | 20.9360 | + | 7.62008i | 0.910261 | + | 0.331308i | ||||
\(530\) | −1.18770 | −0.0515905 | ||||||||
\(531\) | −9.47990 | + | 6.84437i | −0.411392 | + | 0.297020i | ||||
\(532\) | 73.9252 | + | 4.00712i | 3.20506 | + | 0.173731i | ||||
\(533\) | 6.94664 | − | 5.82893i | 0.300893 | − | 0.252479i | ||||
\(534\) | 44.5374 | − | 14.3975i | 1.92732 | − | 0.623043i | ||||
\(535\) | 4.15356 | + | 3.48525i | 0.179574 | + | 0.150681i | ||||
\(536\) | −33.4132 | + | 12.1614i | −1.44323 | + | 0.525293i | ||||
\(537\) | −17.7752 | − | 7.21257i | −0.767058 | − | 0.311245i | ||||
\(538\) | −24.2207 | − | 8.81562i | −1.04423 | − | 0.380068i | ||||
\(539\) | −16.9394 | − | 1.84181i | −0.729631 | − | 0.0793325i | ||||
\(540\) | 13.2337 | + | 6.52807i | 0.569487 | + | 0.280924i | ||||
\(541\) | 12.1459 | + | 21.0374i | 0.522195 | + | 0.904468i | 0.999667 | + | 0.0258208i | \(0.00821994\pi\) |
−0.477472 | + | 0.878647i | \(0.658447\pi\) | |||||||
\(542\) | −20.7181 | + | 17.3845i | −0.889917 | + | 0.746729i | ||||
\(543\) | 12.0572 | + | 4.89238i | 0.517423 | + | 0.209952i | ||||
\(544\) | 11.0545 | − | 62.6930i | 0.473956 | − | 2.68794i | ||||
\(545\) | −0.233386 | + | 1.32360i | −0.00999715 | + | 0.0566967i | ||||
\(546\) | 14.8587 | − | 54.7334i | 0.635894 | − | 2.34237i | ||||
\(547\) | 5.97669 | − | 5.01504i | 0.255545 | − | 0.214427i | −0.506011 | − | 0.862527i | \(-0.668880\pi\) |
0.761556 | + | 0.648100i | \(0.224436\pi\) | |||||||
\(548\) | 13.7985 | − | 23.8997i | 0.589443 | − | 1.02094i | ||||
\(549\) | −9.31172 | + | 13.7166i | −0.397414 | + | 0.585410i | ||||
\(550\) | 15.1282 | + | 26.2028i | 0.645068 | + | 1.11729i | ||||
\(551\) | 36.3982 | − | 30.5418i | 1.55062 | − | 1.30112i | ||||
\(552\) | −6.31044 | + | 10.0653i | −0.268590 | + | 0.428408i | ||||
\(553\) | −25.0872 | + | 7.62079i | −1.06682 | + | 0.324069i | ||||
\(554\) | −3.99308 | + | 1.45336i | −0.169650 | + | 0.0617475i | ||||
\(555\) | 3.31042 | − | 5.28021i | 0.140520 | − | 0.224132i | ||||
\(556\) | 43.4964 | + | 15.8314i | 1.84466 | + | 0.671400i | ||||
\(557\) | 9.49050 | + | 16.4380i | 0.402125 | + | 0.696502i | 0.993982 | − | 0.109541i | \(-0.0349382\pi\) |
−0.591857 | + | 0.806043i | \(0.701605\pi\) | |||||||
\(558\) | −27.2717 | + | 7.73192i | −1.15450 | + | 0.327318i | ||||
\(559\) | −5.38017 | − | 9.31873i | −0.227557 | − | 0.394140i | ||||
\(560\) | −15.5619 | − | 6.63860i | −0.657612 | − | 0.280532i | ||||
\(561\) | −14.2401 | − | 12.8604i | −0.601216 | − | 0.542966i | ||||
\(562\) | 9.14028 | − | 3.32679i | 0.385560 | − | 0.140332i | ||||
\(563\) | −11.2457 | + | 4.09310i | −0.473950 | + | 0.172504i | −0.567941 | − | 0.823069i | \(-0.692260\pi\) |
0.0939907 | + | 0.995573i | \(0.470038\pi\) | |||||||
\(564\) | 12.3583 | − | 9.62566i | 0.520378 | − | 0.405314i | ||||
\(565\) | −0.271717 | − | 1.54098i | −0.0114312 | − | 0.0648296i | ||||
\(566\) | −17.0408 | −0.716280 | ||||||||
\(567\) | 8.70579 | − | 22.1632i | 0.365609 | − | 0.930769i | ||||
\(568\) | 134.137 | 5.62827 | ||||||||
\(569\) | 5.91878 | + | 33.5671i | 0.248128 | + | 1.40720i | 0.813114 | + | 0.582104i | \(0.197770\pi\) |
−0.564986 | + | 0.825101i | \(0.691118\pi\) | |||||||
\(570\) | 11.3249 | − | 8.82075i | 0.474347 | − | 0.369461i | ||||
\(571\) | −22.3650 | + | 8.14020i | −0.935947 | + | 0.340657i | −0.764564 | − | 0.644548i | \(-0.777046\pi\) |
−0.171383 | + | 0.985204i | \(0.554824\pi\) | |||||||
\(572\) | 53.8054 | − | 19.5836i | 2.24972 | − | 0.818829i | ||||
\(573\) | 13.6049 | + | 12.2868i | 0.568353 | + | 0.513287i | ||||
\(574\) | −10.9215 | + | 8.19930i | −0.455855 | + | 0.342232i | ||||
\(575\) | 1.98738 | + | 3.44224i | 0.0828795 | + | 0.143551i | ||||
\(576\) | 31.0022 | + | 30.1180i | 1.29176 | + | 1.25492i | ||||
\(577\) | −17.0352 | − | 29.5058i | −0.709183 | − | 1.22834i | −0.965161 | − | 0.261658i | \(-0.915731\pi\) |
0.255977 | − | 0.966683i | \(-0.417603\pi\) | |||||||
\(578\) | 9.25811 | + | 3.36968i | 0.385087 | + | 0.140160i | ||||
\(579\) | −5.43323 | + | 8.66615i | −0.225797 | + | 0.360153i | ||||
\(580\) | −22.8591 | + | 8.32005i | −0.949174 | + | 0.345471i | ||||
\(581\) | −2.28585 | + | 9.82078i | −0.0948331 | + | 0.407435i | ||||
\(582\) | −32.6305 | + | 52.0465i | −1.35258 | + | 2.15740i | ||||
\(583\) | −1.48226 | + | 1.24376i | −0.0613889 | + | 0.0515114i | ||||
\(584\) | −0.121307 | − | 0.210111i | −0.00501974 | − | 0.00869444i | ||||
\(585\) | −3.43086 | − | 7.08798i | −0.141849 | − | 0.293052i | ||||
\(586\) | 7.39969 | − | 12.8166i | 0.305679 | − | 0.529451i | ||||
\(587\) | 28.6230 | − | 24.0176i | 1.18140 | − | 0.991311i | 0.181430 | − | 0.983404i | \(-0.441927\pi\) |
0.999969 | − | 0.00790754i | \(-0.00251707\pi\) | |||||||
\(588\) | −19.1958 | + | 58.0734i | −0.791621 | + | 2.39491i | ||||
\(589\) | −3.42897 | + | 19.4467i | −0.141288 | + | 0.801285i | ||||
\(590\) | 1.01122 | − | 5.73489i | 0.0416311 | − | 0.236102i | ||||
\(591\) | 17.7965 | + | 7.22119i | 0.732049 | + | 0.297040i | ||||
\(592\) | 55.6204 | − | 46.6711i | 2.28599 | − | 1.91817i | ||||
\(593\) | 7.60816 | + | 13.1777i | 0.312430 | + | 0.541144i | 0.978888 | − | 0.204398i | \(-0.0655238\pi\) |
−0.666458 | + | 0.745542i | \(0.732190\pi\) | |||||||
\(594\) | 32.6099 | − | 7.97550i | 1.33800 | − | 0.327239i | ||||
\(595\) | 3.70188 | − | 5.67810i | 0.151762 | − | 0.232779i | ||||
\(596\) | −111.463 | − | 40.5691i | −4.56569 | − | 1.66177i | ||||
\(597\) | −20.1670 | − | 8.18308i | −0.825382 | − | 0.334911i | ||||
\(598\) | 9.87067 | − | 3.59263i | 0.403642 | − | 0.146914i | ||||
\(599\) | −18.6723 | − | 15.6679i | −0.762930 | − | 0.640174i | 0.175958 | − | 0.984398i | \(-0.443698\pi\) |
−0.938888 | + | 0.344224i | \(0.888142\pi\) | |||||||
\(600\) | 62.3715 | − | 20.1628i | 2.54631 | − | 0.823142i | ||||
\(601\) | 23.9529 | − | 20.0989i | 0.977060 | − | 0.819851i | −0.00658341 | − | 0.999978i | \(-0.502096\pi\) |
0.983643 | + | 0.180128i | \(0.0576511\pi\) | |||||||
\(602\) | 7.33110 | + | 14.4521i | 0.298793 | + | 0.589022i | ||||
\(603\) | 12.0428 | + | 5.40499i | 0.490422 | + | 0.220108i | ||||
\(604\) | −109.735 | −4.46507 | ||||||||
\(605\) | 2.68449 | + | 0.977074i | 0.109140 | + | 0.0397237i | ||||
\(606\) | −10.2509 | + | 16.3504i | −0.416414 | + | 0.664191i | ||||
\(607\) | 25.5652 | + | 21.4517i | 1.03766 | + | 0.870698i | 0.991742 | − | 0.128247i | \(-0.0409350\pi\) |
0.0459155 | + | 0.998945i | \(0.485379\pi\) | |||||||
\(608\) | 72.9102 | − | 26.5371i | 2.95690 | − | 1.07622i | ||||
\(609\) | 16.4727 | + | 35.6311i | 0.667508 | + | 1.44384i | ||||
\(610\) | −1.43380 | − | 8.13148i | −0.0580529 | − | 0.329234i | ||||
\(611\) | −8.35944 | −0.338187 | ||||||||
\(612\) | −55.8425 | + | 40.3176i | −2.25730 | + | 1.62974i | ||||
\(613\) | 13.3332 | 0.538522 | 0.269261 | − | 0.963067i | \(-0.413221\pi\) | ||||
0.269261 | + | 0.963067i | \(0.413221\pi\) | |||||||
\(614\) | 31.4010 | + | 11.4290i | 1.26724 | + | 0.461238i | ||||
\(615\) | −0.397015 | + | 1.85418i | −0.0160092 | + | 0.0747679i | ||||
\(616\) | −49.7978 | + | 15.1272i | −2.00641 | + | 0.609491i | ||||
\(617\) | −17.8838 | − | 15.0063i | −0.719975 | − | 0.604130i | 0.207404 | − | 0.978255i | \(-0.433499\pi\) |
−0.927378 | + | 0.374125i | \(0.877943\pi\) | |||||||
\(618\) | 67.9313 | + | 27.5641i | 2.73260 | + | 1.10879i | ||||
\(619\) | −32.4401 | + | 27.2205i | −1.30388 | + | 1.09408i | −0.314417 | + | 0.949285i | \(0.601809\pi\) |
−0.989461 | + | 0.144798i | \(0.953747\pi\) | |||||||
\(620\) | 5.05488 | − | 8.75531i | 0.203009 | − | 0.351622i | ||||
\(621\) | 4.28394 | − | 1.04774i | 0.171909 | − | 0.0420442i | ||||
\(622\) | 13.0004 | 0.521269 | ||||||||
\(623\) | 24.7776 | + | 10.5699i | 0.992695 | + | 0.423476i | ||||
\(624\) | −12.6325 | − | 90.8697i | −0.505704 | − | 3.63770i | ||||
\(625\) | 3.53322 | − | 20.0379i | 0.141329 | − | 0.801515i | ||||
\(626\) | −16.7468 | − | 14.0523i | −0.669338 | − | 0.561642i | ||||
\(627\) | 4.89642 | − | 22.8678i | 0.195544 | − | 0.913251i | ||||
\(628\) | −19.3763 | − | 7.05240i | −0.773199 | − | 0.281421i | ||||
\(629\) | 14.5445 | + | 25.1918i | 0.579928 | + | 1.00446i | ||||
\(630\) | 4.58157 | + | 10.9386i | 0.182534 | + | 0.435803i | ||||
\(631\) | −5.49193 | + | 9.51231i | −0.218630 | + | 0.378679i | −0.954389 | − | 0.298564i | \(-0.903492\pi\) |
0.735759 | + | 0.677243i | \(0.236826\pi\) | |||||||
\(632\) | −61.3478 | + | 51.4769i | −2.44029 | + | 2.04764i | ||||
\(633\) | −5.59785 | − | 10.5661i | −0.222495 | − | 0.419964i | ||||
\(634\) | 8.87745 | − | 50.3465i | 0.352569 | − | 1.99952i | ||||
\(635\) | −1.16413 | − | 0.976818i | −0.0461970 | − | 0.0387638i | ||||
\(636\) | 3.25163 | + | 6.13753i | 0.128935 | + | 0.243369i | ||||
\(637\) | 27.1251 | − | 18.1550i | 1.07473 | − | 0.719326i | ||||
\(638\) | −27.6716 | + | 47.9286i | −1.09553 | + | 1.89751i | ||||
\(639\) | −35.7168 | − | 34.6981i | −1.41293 | − | 1.37264i | ||||
\(640\) | −5.77829 | −0.228407 | ||||||||
\(641\) | 0.755116 | + | 4.28248i | 0.0298253 | + | 0.169148i | 0.996082 | − | 0.0884328i | \(-0.0281859\pi\) |
−0.966257 | + | 0.257581i | \(0.917075\pi\) | |||||||
\(642\) | 9.27087 | − | 43.2979i | 0.365892 | − | 1.70883i | ||||
\(643\) | −1.71985 | + | 9.75374i | −0.0678241 | + | 0.384650i | 0.931933 | + | 0.362629i | \(0.118121\pi\) |
−0.999758 | + | 0.0220203i | \(0.992990\pi\) | |||||||
\(644\) | −10.8391 | + | 3.29263i | −0.427122 | + | 0.129748i | ||||
\(645\) | 2.08495 | + | 0.845999i | 0.0820947 | + | 0.0333112i | ||||
\(646\) | 11.6348 | + | 65.9840i | 0.457764 | + | 2.59611i | ||||
\(647\) | 2.17379 | − | 3.76512i | 0.0854607 | − | 0.148022i | −0.820127 | − | 0.572182i | \(-0.806097\pi\) |
0.905587 | + | 0.424160i | \(0.139430\pi\) | |||||||
\(648\) | −2.10387 | − | 72.7003i | −0.0826478 | − | 2.85594i | ||||
\(649\) | −4.74359 | − | 8.21613i | −0.186202 | − | 0.322511i | ||||
\(650\) | −54.4632 | − | 19.8230i | −2.13622 | − | 0.777522i | ||||
\(651\) | −14.7627 | − | 6.94310i | −0.578595 | − | 0.272121i | ||||
\(652\) | −90.6332 | − | 76.0503i | −3.54947 | − | 2.97836i | ||||
\(653\) | 41.1969 | − | 14.9944i | 1.61216 | − | 0.586777i | 0.630292 | − | 0.776358i | \(-0.282935\pi\) |
0.981865 | + | 0.189580i | \(0.0607128\pi\) | |||||||
\(654\) | 10.4437 | − | 3.37613i | 0.408381 | − | 0.132017i | ||||
\(655\) | −0.614187 | − | 3.48323i | −0.0239983 | − | 0.136101i | ||||
\(656\) | −11.0459 | + | 19.1320i | −0.431269 | + | 0.746981i | ||||
\(657\) | −0.0220501 | + | 0.0873256i | −0.000860255 | + | 0.00340690i | ||||
\(658\) | 12.5709 | + | 0.681409i | 0.490066 | + | 0.0265641i | ||||
\(659\) | −2.06386 | − | 11.7047i | −0.0803965 | − | 0.455951i | −0.998255 | − | 0.0590442i | \(-0.981195\pi\) |
0.917859 | − | 0.396907i | \(-0.129916\pi\) | |||||||
\(660\) | −6.35992 | + | 10.1443i | −0.247560 | + | 0.394865i | ||||
\(661\) | 6.52142 | − | 36.9848i | 0.253654 | − | 1.43854i | −0.545851 | − | 0.837882i | \(-0.683794\pi\) |
0.799505 | − | 0.600659i | \(-0.205095\pi\) | |||||||
\(662\) | −0.543863 | + | 3.08440i | −0.0211378 | + | 0.119879i | ||||
\(663\) | 36.7313 | + | 1.33763i | 1.42653 | + | 0.0519492i | ||||
\(664\) | 5.34809 | + | 30.3305i | 0.207546 | + | 1.17705i | ||||
\(665\) | 8.24927 | + | 0.447152i | 0.319893 | + | 0.0173398i | ||||
\(666\) | −50.7597 | − | 3.70190i | −1.96690 | − | 0.143446i | ||||
\(667\) | −3.63520 | + | 6.29635i | −0.140755 | + | 0.243796i | ||||
\(668\) | −19.7772 | − | 112.162i | −0.765204 | − | 4.33969i | ||||
\(669\) | −3.91785 | + | 18.2976i | −0.151473 | + | 0.707426i | ||||
\(670\) | −6.17778 | + | 2.24853i | −0.238668 | + | 0.0868681i | ||||
\(671\) | −10.3047 | − | 8.64667i | −0.397808 | − | 0.333801i | ||||
\(672\) | 5.37692 | + | 63.8753i | 0.207419 | + | 2.46404i | ||||
\(673\) | −30.1366 | − | 10.9688i | −1.16168 | − | 0.422817i | −0.311983 | − | 0.950088i | \(-0.600993\pi\) |
−0.849698 | + | 0.527270i | \(0.823216\pi\) | |||||||
\(674\) | −20.2973 | − | 35.1560i | −0.781825 | − | 1.35416i | ||||
\(675\) | −21.8233 | − | 10.7653i | −0.839981 | − | 0.414356i | ||||
\(676\) | −22.0511 | + | 38.1936i | −0.848120 | + | 1.46899i | ||||
\(677\) | −3.38426 | − | 19.1931i | −0.130068 | − | 0.737651i | −0.978168 | − | 0.207816i | \(-0.933365\pi\) |
0.848100 | − | 0.529836i | \(-0.177746\pi\) | |||||||
\(678\) | −10.0813 | + | 7.85218i | −0.387172 | + | 0.301561i | ||||
\(679\) | −33.8273 | + | 10.2758i | −1.29817 | + | 0.394349i | ||||
\(680\) | 3.59513 | − | 20.3890i | 0.137867 | − | 0.781882i | ||||
\(681\) | 40.7652 | − | 13.1781i | 1.56213 | − | 0.504987i | ||||
\(682\) | −3.99394 | − | 22.6507i | −0.152936 | − | 0.867342i | ||||
\(683\) | 7.73217 | 0.295863 | 0.147932 | − | 0.988998i | \(-0.452738\pi\) | ||||
0.147932 | + | 0.988998i | \(0.452738\pi\) | |||||||
\(684\) | −76.5865 | − | 34.3730i | −2.92836 | − | 1.31429i | ||||
\(685\) | 1.53977 | − | 2.66695i | 0.0588314 | − | 0.101899i | ||||
\(686\) | −42.2706 | + | 25.0904i | −1.61390 | + | 0.957956i | ||||
\(687\) | 40.3896 | + | 1.47085i | 1.54096 | + | 0.0561165i | ||||
\(688\) | 20.0812 | + | 16.8501i | 0.765588 | + | 0.642405i | ||||
\(689\) | 0.643637 | − | 3.65025i | 0.0245206 | − | 0.139063i | ||||
\(690\) | −1.16674 | + | 1.86098i | −0.0444169 | + | 0.0708462i | ||||
\(691\) | −29.9066 | + | 25.0946i | −1.13770 | + | 0.954643i | −0.999361 | − | 0.0357421i | \(-0.988621\pi\) |
−0.138338 | + | 0.990385i | \(0.544176\pi\) | |||||||
\(692\) | −15.5013 | + | 26.8490i | −0.589269 | + | 1.02064i | ||||
\(693\) | 17.1727 | + | 8.85359i | 0.652338 | + | 0.336320i | ||||
\(694\) | 22.5697 | + | 39.0919i | 0.856734 | + | 1.48391i | ||||
\(695\) | 4.85373 | + | 1.76661i | 0.184113 | + | 0.0670115i | ||||
\(696\) | 88.9826 | + | 80.3614i | 3.37288 | + | 3.04609i | ||||
\(697\) | −6.78005 | − | 5.68914i | −0.256813 | − | 0.215492i | ||||
\(698\) | −15.6931 | + | 89.0001i | −0.593993 | + | 3.36870i | ||||
\(699\) | 2.86316 | − | 2.23007i | 0.108295 | − | 0.0843489i | ||||
\(700\) | 57.4927 | + | 24.5259i | 2.17302 | + | 0.926992i | ||||
\(701\) | 9.51546 | 0.359394 | 0.179697 | − | 0.983722i | \(-0.442488\pi\) | ||||
0.179697 | + | 0.983722i | \(0.442488\pi\) | |||||||
\(702\) | −38.0321 | + | 51.8564i | −1.43543 | + | 1.95719i | ||||
\(703\) | −17.7269 | + | 30.7040i | −0.668584 | + | 1.15802i | ||||
\(704\) | −26.8658 | + | 22.5431i | −1.01254 | + | 0.849625i | ||||
\(705\) | 1.37905 | − | 1.07412i | 0.0519382 | − | 0.0404538i | ||||
\(706\) | 26.6897 | + | 22.3953i | 1.00448 | + | 0.842858i | ||||
\(707\) | −10.6269 | + | 3.22815i | −0.399665 | + | 0.121407i | ||||
\(708\) | −32.4039 | + | 10.4752i | −1.21781 | + | 0.393681i | ||||
\(709\) | 19.8575 | + | 7.22754i | 0.745765 | + | 0.271436i | 0.686822 | − | 0.726825i | \(-0.259005\pi\) |
0.0589422 | + | 0.998261i | \(0.481227\pi\) | |||||||
\(710\) | 24.8007 | 0.930752 | ||||||||
\(711\) | 29.6510 | + | 2.16244i | 1.11200 | + | 0.0810980i | ||||
\(712\) | 82.2795 | 3.08355 | ||||||||
\(713\) | −0.524681 | − | 2.97561i | −0.0196495 | − | 0.111438i | ||||
\(714\) | −55.1275 | − | 5.00563i | −2.06310 | − | 0.187331i | ||||
\(715\) | 6.00411 | − | 2.18532i | 0.224541 | − | 0.0817262i | ||||
\(716\) | −42.7997 | − | 35.9132i | −1.59950 | − | 1.34214i | ||||
\(717\) | −0.687337 | − | 0.0250305i | −0.0256691 | − | 0.000934779i | ||||
\(718\) | −71.2573 | − | 25.9355i | −2.65930 | − | 0.967905i | ||||
\(719\) | −16.4199 | −0.612359 | −0.306179 | − | 0.951974i | \(-0.599051\pi\) | ||||
−0.306179 | + | 0.951974i | \(0.599051\pi\) | |||||||
\(720\) | 13.7600 | + | 13.3676i | 0.512805 | + | 0.498180i | ||||
\(721\) | 19.0871 | + | 37.6271i | 0.710840 | + | 1.40131i | ||||
\(722\) | −23.9258 | + | 20.0761i | −0.890425 | + | 0.747156i | ||||
\(723\) | −4.89036 | + | 22.8395i | −0.181875 | + | 0.849411i | ||||
\(724\) | 29.0316 | + | 24.3604i | 1.07895 | + | 0.905348i | ||||
\(725\) | 37.6965 | − | 13.7204i | 1.40001 | − | 0.509563i | ||||
\(726\) | −3.21235 | − | 23.1075i | −0.119222 | − | 0.857600i | ||||
\(727\) | −0.636341 | − | 0.231609i | −0.0236006 | − | 0.00858990i | 0.330193 | − | 0.943913i | \(-0.392886\pi\) |
−0.353793 | + | 0.935324i | \(0.615108\pi\) | |||||||
\(728\) | 54.4480 | − | 83.5145i | 2.01798 | − | 3.09525i | ||||
\(729\) | −18.2457 | + | 19.9022i | −0.675765 | + | 0.737117i | ||||
\(730\) | −0.0224285 | − | 0.0388474i | −0.000830118 | − | 0.00143781i | ||||
\(731\) | −8.04522 | + | 6.75074i | −0.297563 | + | 0.249685i | ||||
\(732\) | −38.0946 | + | 29.6712i | −1.40802 | + | 1.09668i | ||||
\(733\) | −1.37234 | + | 7.78291i | −0.0506884 | + | 0.287468i | −0.999606 | − | 0.0280545i | \(-0.991069\pi\) |
0.948918 | + | 0.315523i | \(0.102180\pi\) | |||||||
\(734\) | 5.88628 | − | 33.3828i | 0.217267 | − | 1.23218i | ||||
\(735\) | −2.14205 | + | 6.48037i | −0.0790105 | + | 0.239032i | ||||
\(736\) | −9.09469 | + | 7.63135i | −0.335235 | + | 0.281295i | ||||
\(737\) | −5.35524 | + | 9.27555i | −0.197263 | + | 0.341669i | ||||
\(738\) | 14.8982 | − | 4.22384i | 0.548409 | − | 0.155482i | ||||
\(739\) | 12.5276 | + | 21.6984i | 0.460834 | + | 0.798188i | 0.999003 | − | 0.0446492i | \(-0.0142170\pi\) |
−0.538169 | + | 0.842837i | \(0.680884\pi\) | |||||||
\(740\) | 13.9048 | − | 11.6675i | 0.511151 | − | 0.428907i | ||||
\(741\) | 20.9723 | + | 39.5857i | 0.770436 | + | 1.45422i | ||||
\(742\) | −1.26545 | + | 5.43678i | −0.0464560 | + | 0.199591i | ||||
\(743\) | −28.7605 | + | 10.4680i | −1.05512 | + | 0.384033i | −0.810594 | − | 0.585609i | \(-0.800855\pi\) |
−0.244529 | + | 0.969642i | \(0.578633\pi\) | |||||||
\(744\) | −49.7962 | − | 1.81341i | −1.82562 | − | 0.0664827i | ||||
\(745\) | −12.4380 | − | 4.52708i | −0.455695 | − | 0.165859i | ||||
\(746\) | −13.1624 | − | 22.7980i | −0.481910 | − | 0.834693i | ||||
\(747\) | 6.42176 | − | 9.45956i | 0.234960 | − | 0.346107i | ||||
\(748\) | −27.9427 | − | 48.3981i | −1.02169 | − | 1.76961i | ||||
\(749\) | 20.3794 | − | 15.2998i | 0.744648 | − | 0.559043i | ||||
\(750\) | 23.8441 | − | 7.70806i | 0.870663 | − | 0.281458i | ||||
\(751\) | −10.3432 | + | 3.76462i | −0.377429 | + | 0.137373i | −0.523767 | − | 0.851862i | \(-0.675474\pi\) |
0.146338 | + | 0.989235i | \(0.453251\pi\) | |||||||
\(752\) | 19.1369 | − | 6.96528i | 0.697853 | − | 0.253998i | ||||
\(753\) | −26.8127 | − | 10.8797i | −0.977109 | − | 0.396477i | ||||
\(754\) | −18.4092 | − | 104.404i | −0.670424 | − | 3.80216i | ||||
\(755\) | −12.2453 | −0.445652 | ||||||||
\(756\) | 43.9826 | − | 53.6226i | 1.59963 | − | 1.95024i | ||||
\(757\) | 3.80963 | 0.138464 | 0.0692318 | − | 0.997601i | \(-0.477945\pi\) | ||||
0.0692318 | + | 0.997601i | \(0.477945\pi\) | |||||||
\(758\) | −0.359507 | − | 2.03887i | −0.0130579 | − | 0.0740550i | ||||
\(759\) | 0.492724 | + | 3.54432i | 0.0178847 | + | 0.128651i | ||||
\(760\) | 23.7118 | − | 8.63039i | 0.860117 | − | 0.313057i | ||||
\(761\) | 24.2958 | − | 8.84296i | 0.880723 | − | 0.320557i | 0.138221 | − | 0.990401i | \(-0.455861\pi\) |
0.742501 | + | 0.669844i | \(0.233639\pi\) | |||||||
\(762\) | −2.59837 | + | 12.1352i | −0.0941288 | + | 0.439611i | ||||
\(763\) | 5.81019 | + | 2.47858i | 0.210343 | + | 0.0897305i | ||||
\(764\) | 26.6963 | + | 46.2394i | 0.965839 | + | 1.67288i | ||||
\(765\) | −6.23143 | + | 4.49901i | −0.225298 | + | 0.162662i | ||||
\(766\) | 21.8726 | + | 37.8845i | 0.790290 | + | 1.36882i | ||||
\(767\) | 17.0775 | + | 6.21569i | 0.616631 | + | 0.224435i | ||||
\(768\) | −1.27408 | − | 2.40486i | −0.0459745 | − | 0.0867779i | ||||
\(769\) | 46.8589 | − | 17.0552i | 1.68977 | − | 0.615028i | 0.695177 | − | 0.718838i | \(-0.255326\pi\) |
0.994597 | + | 0.103811i | \(0.0331037\pi\) | |||||||
\(770\) | −9.20712 | + | 2.79686i | −0.331801 | + | 0.100792i | ||||
\(771\) | 24.0458 | + | 0.875665i | 0.865987 | + | 0.0315363i | ||||
\(772\) | −22.8213 | + | 19.1493i | −0.821356 | + | 0.689200i | ||||
\(773\) | −7.40043 | − | 12.8179i | −0.266175 | − | 0.461029i | 0.701696 | − | 0.712477i | \(-0.252427\pi\) |
−0.967871 | + | 0.251448i | \(0.919093\pi\) | |||||||
\(774\) | −1.86609 | − | 18.2799i | −0.0670754 | − | 0.657058i | ||||
\(775\) | −8.33589 | + | 14.4382i | −0.299434 | + | 0.518635i | ||||
\(776\) | −82.7207 | + | 69.4109i | −2.96950 | + | 2.49171i | ||||
\(777\) | −20.6434 | − | 20.7795i | −0.740578 | − | 0.745461i | ||||
\(778\) | 5.11621 | − | 29.0155i | 0.183425 | − | 1.04026i | ||||
\(779\) | 1.87320 | − | 10.6234i | 0.0671143 | − | 0.380624i | ||||
\(780\) | −3.15806 | − | 22.7169i | −0.113077 | − | 0.813397i | ||||
\(781\) | 30.9514 | − | 25.9713i | 1.10753 | − | 0.929326i | ||||
\(782\) | −5.12612 | − | 8.87871i | −0.183310 | − | 0.317502i | ||||
\(783\) | −2.90587 | − | 44.4156i | −0.103847 | − | 1.58728i | ||||
\(784\) | −46.9692 | + | 64.1627i | −1.67747 | + | 2.29152i | ||||
\(785\) | −2.16219 | − | 0.786972i | −0.0771718 | − | 0.0280883i | ||||
\(786\) | −22.7878 | + | 17.7490i | −0.812814 | + | 0.633086i | ||||
\(787\) | 32.7979 | − | 11.9375i | 1.16912 | − | 0.425525i | 0.316773 | − | 0.948501i | \(-0.397401\pi\) |
0.852347 | + | 0.522976i | \(0.175178\pi\) | |||||||
\(788\) | 42.8508 | + | 35.9561i | 1.52650 | + | 1.28088i | ||||
\(789\) | −5.20690 | − | 4.70242i | −0.185371 | − | 0.167411i | ||||
\(790\) | −11.3426 | + | 9.51758i | −0.403552 | + | 0.338620i | ||||
\(791\) | −7.34345 | − | 0.398052i | −0.261103 | − | 0.0141531i | ||||
\(792\) | 58.8568 | + | 4.29242i | 2.09139 | + | 0.152525i | ||||
\(793\) | 25.7681 | 0.915051 | ||||||||
\(794\) | 65.6339 | + | 23.8888i | 2.32926 | + | 0.847782i | ||||
\(795\) | 0.362847 | + | 0.684883i | 0.0128689 | + | 0.0242903i | ||||
\(796\) | −48.5587 | − | 40.7456i | −1.72112 | − | 1.44419i | ||||
\(797\) | 36.4050 | − | 13.2503i | 1.28953 | − | 0.469351i | 0.395959 | − | 0.918268i | \(-0.370412\pi\) |
0.893574 | + | 0.448917i | \(0.148190\pi\) | |||||||
\(798\) | −28.3114 | − | 61.2385i | −1.00221 | − | 2.16782i | ||||
\(799\) | 1.41679 | + | 8.03502i | 0.0501224 | + | 0.284259i | ||||
\(800\) | 65.5074 | 2.31604 | ||||||||
\(801\) | −21.9086 | − | 21.2838i | −0.774102 | − | 0.752025i | ||||
\(802\) | −88.0584 | −3.10945 | ||||||||
\(803\) | −0.0686720 | − | 0.0249946i | −0.00242338 | − | 0.000882039i | ||||
\(804\) | 28.5326 | + | 25.7682i | 1.00627 | + | 0.908773i | ||||
\(805\) | −1.20953 | + | 0.367422i | −0.0426304 | + | 0.0129499i | ||||
\(806\) | 33.7509 | + | 28.3204i | 1.18883 | + | 0.997543i | ||||
\(807\) | 2.31603 | + | 16.6600i | 0.0815281 | + | 0.586458i | ||||
\(808\) | −25.9868 | + | 21.8055i | −0.914212 | + | 0.767115i | ||||
\(809\) | −20.5926 | + | 35.6673i | −0.723996 | + | 1.25400i | 0.235390 | + | 0.971901i | \(0.424363\pi\) |
−0.959386 | + | 0.282096i | \(0.908970\pi\) | |||||||
\(810\) | −0.388985 | − | 13.4416i | −0.0136675 | − | 0.472288i | ||||
\(811\) | −38.4576 | −1.35043 | −0.675214 | − | 0.737622i | \(-0.735949\pi\) | ||||
−0.675214 | + | 0.737622i | \(0.735949\pi\) | |||||||
\(812\) | 13.7301 | + | 113.504i | 0.481831 | + | 3.98321i | ||||
\(813\) | 16.3542 | + | 6.63594i | 0.573565 | + | 0.232733i | ||||
\(814\) | 7.17087 | − | 40.6680i | 0.251339 | − | 1.42541i | ||||
\(815\) | −10.1137 | − | 8.48640i | −0.354268 | − | 0.297266i | ||||
\(816\) | −85.2021 | + | 27.5432i | −2.98267 | + | 0.964204i | ||||
\(817\) | −12.0283 | − | 4.37795i | −0.420817 | − | 0.153165i | ||||
\(818\) | −12.0734 | − | 20.9117i | −0.422135 | − | 0.731159i | ||||
\(819\) | −36.1011 | + | 8.15304i | −1.26148 | + | 0.284890i | ||||
\(820\) | −2.76141 | + | 4.78291i | −0.0964327 | + | 0.167026i | ||||
\(821\) | −30.6991 | + | 25.7596i | −1.07141 | + | 0.899016i | −0.995179 | − | 0.0980740i | \(-0.968732\pi\) |
−0.0762270 | + | 0.997090i | \(0.524287\pi\) | |||||||
\(822\) | −25.1322 | − | 0.915230i | −0.876587 | − | 0.0319223i | ||||
\(823\) | −3.72503 | + | 21.1257i | −0.129846 | + | 0.736395i | 0.848465 | + | 0.529252i | \(0.177527\pi\) |
−0.978311 | + | 0.207142i | \(0.933584\pi\) | |||||||
\(824\) | 98.7198 | + | 82.8357i | 3.43907 | + | 2.88572i | ||||
\(825\) | 10.4880 | − | 16.7286i | 0.365145 | − | 0.582417i | ||||
\(826\) | −25.1744 | − | 10.7392i | −0.875931 | − | 0.373665i | ||||
\(827\) | 25.7906 | − | 44.6705i | 0.896825 | − | 1.55335i | 0.0652962 | − | 0.997866i | \(-0.479201\pi\) |
0.831529 | − | 0.555481i | \(-0.187466\pi\) | |||||||
\(828\) | 12.8110 | + | 0.934302i | 0.445212 | + | 0.0324692i | ||||
\(829\) | 1.63215 | 0.0566869 | 0.0283434 | − | 0.999598i | \(-0.490977\pi\) | ||||
0.0283434 | + | 0.999598i | \(0.490977\pi\) | |||||||
\(830\) | 0.988810 | + | 5.60782i | 0.0343221 | + | 0.194650i | ||||
\(831\) | 2.05798 | + | 1.85858i | 0.0713904 | + | 0.0644736i | ||||
\(832\) | 11.6659 | − | 66.1604i | 0.404441 | − | 2.29370i | ||||
\(833\) | −22.0476 | − | 22.9954i | −0.763906 | − | 0.796743i | ||||
\(834\) | −5.80815 | − | 41.7799i | −0.201120 | − | 1.44672i | ||||
\(835\) | −2.20693 | − | 12.5161i | −0.0763739 | − | 0.433138i | ||||
\(836\) | 34.0567 | − | 58.9879i | 1.17788 | − | 2.04014i | ||||
\(837\) | 12.7902 | + | 13.3640i | 0.442093 | + | 0.461926i | ||||
\(838\) | −30.8186 | − | 53.3794i | −1.06461 | − | 1.84396i | ||||
\(839\) | 14.3743 | + | 5.23181i | 0.496255 | + | 0.180622i | 0.578009 | − | 0.816030i | \(-0.303830\pi\) |
−0.0817536 | + | 0.996653i | \(0.526052\pi\) | |||||||
\(840\) | 1.74868 | + | 20.7735i | 0.0603351 | + | 0.716754i | ||||
\(841\) | 33.9950 | + | 28.5252i | 1.17224 | + | 0.983628i | ||||
\(842\) | 18.0624 | − | 6.57417i | 0.622471 | − | 0.226561i | ||||
\(843\) | −4.71077 | − | 4.25435i | −0.162247 | − | 0.146528i | ||||
\(844\) | −6.04755 | − | 34.2974i | −0.208165 | − | 1.18056i | ||||
\(845\) | −2.46067 | + | 4.26200i | −0.0846496 | + | 0.146617i | ||||
\(846\) | −13.0235 | − | 5.84512i | −0.447757 | − | 0.200959i | ||||
\(847\) | 7.33283 | − | 11.2474i | 0.251959 | − | 0.386465i | ||||
\(848\) | 1.56802 | + | 8.89266i | 0.0538459 | + | 0.305375i | ||||
\(849\) | 5.20604 | + | 9.82652i | 0.178671 | + | 0.337245i | ||||
\(850\) | −9.82304 | + | 55.7092i | −0.336928 | + | 1.91081i | ||||
\(851\) | 0.942032 | − | 5.34253i | 0.0322924 | − | 0.183140i | ||||
\(852\) | −67.8979 | − | 128.159i | −2.32614 | − | 4.39065i | ||||
\(853\) | −6.45156 | − | 36.5886i | −0.220897 | − | 1.25277i | −0.870375 | − | 0.492389i | \(-0.836124\pi\) |
0.649478 | − | 0.760381i | \(-0.274988\pi\) | |||||||
\(854\) | −38.7501 | − | 2.10045i | −1.32600 | − | 0.0718759i | ||||
\(855\) | −8.54623 | − | 3.83567i | −0.292275 | − | 0.131177i | ||||
\(856\) | 38.9183 | − | 67.4085i | 1.33020 | − | 2.30397i | ||||
\(857\) | −5.79594 | − | 32.8704i | −0.197986 | − | 1.12283i | −0.908102 | − | 0.418748i | \(-0.862469\pi\) |
0.710117 | − | 0.704084i | \(-0.248642\pi\) | |||||||
\(858\) | −38.7244 | − | 34.9725i | −1.32203 | − | 1.19394i | ||||
\(859\) | 31.1924 | − | 11.3531i | 1.06427 | − | 0.387363i | 0.250240 | − | 0.968184i | \(-0.419490\pi\) |
0.814032 | + | 0.580821i | \(0.197268\pi\) | |||||||
\(860\) | 5.02019 | + | 4.21244i | 0.171187 | + | 0.143643i | ||||
\(861\) | 8.06465 | + | 3.79292i | 0.274842 | + | 0.129262i | ||||
\(862\) | −34.7610 | − | 12.6520i | −1.18397 | − | 0.430928i | ||||
\(863\) | −10.5482 | − | 18.2701i | −0.359066 | − | 0.621921i | 0.628739 | − | 0.777616i | \(-0.283571\pi\) |
−0.987805 | + | 0.155696i | \(0.950238\pi\) | |||||||
\(864\) | 20.3474 | − | 69.7778i | 0.692231 | − | 2.37389i | ||||
\(865\) | −1.72978 | + | 2.99606i | −0.0588141 | + | 0.101869i | ||||
\(866\) | 10.0141 | + | 56.7927i | 0.340292 | + | 1.92989i | ||||
\(867\) | −0.885278 | − | 6.36809i | −0.0300656 | − | 0.216272i | ||||
\(868\) | −34.6922 | − | 32.4675i | −1.17753 | − | 1.10202i | ||||
\(869\) | −4.18882 | + | 23.7560i | −0.142096 | + | 0.805867i | ||||
\(870\) | 16.4520 | + | 14.8580i | 0.557776 | + | 0.503734i | ||||
\(871\) | −3.56271 | − | 20.2051i | −0.120718 | − | 0.684624i | ||||
\(872\) | 19.2940 | 0.653376 | ||||||||
\(873\) | 39.9811 | + | 2.91582i | 1.35315 | + | 0.0986854i | ||||
\(874\) | 6.24775 | − | 10.8214i | 0.211333 | − | 0.366040i | ||||
\(875\) | 13.2653 | + | 5.65886i | 0.448448 | + | 0.191304i | ||||
\(876\) | −0.139343 | + | 0.222255i | −0.00470795 | + | 0.00750931i | ||||
\(877\) | −12.6039 | − | 10.5759i | −0.425603 | − | 0.357123i | 0.404687 | − | 0.914455i | \(-0.367381\pi\) |
−0.830290 | + | 0.557332i | \(0.811825\pi\) | |||||||
\(878\) | 10.5453 | − | 59.8054i | 0.355887 | − | 2.01833i | ||||
\(879\) | −9.65129 | − | 0.351467i | −0.325530 | − | 0.0118547i | ||||
\(880\) | −11.9241 | + | 10.0055i | −0.401962 | + | 0.337286i | ||||
\(881\) | 1.07173 | − | 1.85629i | 0.0361076 | − | 0.0625401i | −0.847407 | − | 0.530944i | \(-0.821837\pi\) |
0.883514 | + | 0.468404i | \(0.155171\pi\) | |||||||
\(882\) | 54.9535 | − | 9.31782i | 1.85038 | − | 0.313747i | ||||
\(883\) | −11.3597 | − | 19.6756i | −0.382285 | − | 0.662137i | 0.609103 | − | 0.793091i | \(-0.291529\pi\) |
−0.991389 | + | 0.130953i | \(0.958196\pi\) | |||||||
\(884\) | 100.597 | + | 36.6143i | 3.38344 | + | 1.23147i | ||||
\(885\) | −3.61593 | + | 1.16892i | −0.121548 | + | 0.0392927i | ||||
\(886\) | 30.6658 | + | 25.7317i | 1.03024 | + | 0.864472i | ||||
\(887\) | 4.19192 | − | 23.7736i | 0.140751 | − | 0.798238i | −0.829930 | − | 0.557867i | \(-0.811620\pi\) |
0.970681 | − | 0.240371i | \(-0.0772691\pi\) | |||||||
\(888\) | −82.9005 | − | 33.6381i | −2.78196 | − | 1.12882i | ||||
\(889\) | −5.71178 | + | 4.28811i | −0.191567 | + | 0.143818i | ||||
\(890\) | 15.2127 | 0.509930 | ||||||||
\(891\) | −14.5615 | − | 16.3678i | −0.487828 | − | 0.548342i | ||||
\(892\) | −27.2504 | + | 47.1991i | −0.912410 | + | 1.58034i | ||||
\(893\) | −7.61770 | + | 6.39201i | −0.254917 | + | 0.213901i | ||||
\(894\) | 14.8838 | + | 107.064i | 0.497789 | + | 3.58076i | ||||
\(895\) | −4.77599 | − | 4.00753i | −0.159644 | − | 0.133957i | ||||
\(896\) | −6.15653 | + | 26.4505i | −0.205675 | + | 0.883649i | ||||
\(897\) | −5.08720 | − | 4.59432i | −0.169857 | − | 0.153400i | ||||
\(898\) | 49.9920 | + | 18.1956i | 1.66825 | + | 0.607195i | ||||
\(899\) | −30.4950 | −1.01707 | ||||||||
\(900\) | −50.8355 | − | 49.3857i | −1.69452 | − | 1.64619i | ||||
\(901\) | −3.61767 | −0.120522 | ||||||||
\(902\) | 2.18183 | + | 12.3738i | 0.0726471 | + | 0.412002i | ||||
\(903\) | 6.09404 | − | 8.64260i | 0.202797 | − | 0.287608i | ||||
\(904\) | −21.1081 | + | 7.68273i | −0.702046 | + | 0.255524i | ||||
\(905\) | 3.23962 | + | 2.71836i | 0.107689 | + | 0.0903614i | ||||
\(906\) | 46.8155 | + | 88.3654i | 1.55534 | + | 2.93574i | ||||
\(907\) | 30.2823 | + | 11.0219i | 1.00551 | + | 0.365975i | 0.791706 | − | 0.610902i | \(-0.209193\pi\) |
0.213802 | + | 0.976877i | \(0.431415\pi\) | |||||||
\(908\) | 124.781 | 4.14099 | ||||||||
\(909\) | 12.5601 | + | 0.916006i | 0.416592 | + | 0.0303820i | ||||
\(910\) | 10.0669 | − | 15.4410i | 0.333714 | − | 0.511865i | ||||
\(911\) | 19.3028 | − | 16.1970i | 0.639531 | − | 0.536630i | −0.264343 | − | 0.964429i | \(-0.585155\pi\) |
0.903874 | + | 0.427798i | \(0.140711\pi\) | |||||||
\(912\) | −80.9947 | − | 73.1474i | −2.68200 | − | 2.42215i | ||||
\(913\) | 7.10656 | + | 5.96311i | 0.235193 | + | 0.197350i | ||||
\(914\) | 30.9915 | − | 11.2800i | 1.02511 | − | 0.373109i | ||||
\(915\) | −4.25095 | + | 3.31099i | −0.140532 | + | 0.109458i | ||||
\(916\) | 110.616 | + | 40.2609i | 3.65485 | + | 1.33026i | ||||
\(917\) | −16.5991 | − | 0.899755i | −0.548150 | − | 0.0297125i | ||||
\(918\) | 56.2897 | + | 27.7673i | 1.85784 | + | 0.916458i | ||||
\(919\) | −22.2811 | − | 38.5920i | −0.734986 | − | 1.27303i | −0.954729 | − | 0.297476i | \(-0.903855\pi\) |
0.219743 | − | 0.975558i | \(-0.429478\pi\) | |||||||
\(920\) | −2.95777 | + | 2.48186i | −0.0975148 | + | 0.0818246i | ||||
\(921\) | −3.00262 | − | 21.5988i | −0.0989398 | − | 0.711706i | ||||
\(922\) | −2.49291 | + | 14.1380i | −0.0820996 | + | 0.465610i | ||||
\(923\) | −13.4399 | + | 76.2216i | −0.442381 | + | 2.50886i | ||||
\(924\) | 39.6597 | + | 39.9213i | 1.30471 | + | 1.31331i | ||||
\(925\) | −22.9301 | + | 19.2406i | −0.753937 | + | 0.632628i | ||||
\(926\) | 29.7003 | − | 51.4425i | 0.976014 | − | 1.69051i | ||||
\(927\) | −4.85852 | − | 47.5932i | −0.159575 | − | 1.56317i | ||||
\(928\) | 59.9112 | + | 103.769i | 1.96668 | + | 3.40639i | ||||
\(929\) | −30.9504 | + | 25.9705i | −1.01545 | + | 0.852063i | −0.989049 | − | 0.147588i | \(-0.952849\pi\) |
−0.0264003 | + | 0.999651i | \(0.508404\pi\) | |||||||
\(930\) | −9.20682 | − | 0.335281i | −0.301904 | − | 0.0109943i | ||||
\(931\) | 10.8361 | − | 37.2851i | 0.355140 | − | 1.22197i | ||||
\(932\) | 9.93271 | − | 3.61521i | 0.325357 | − | 0.118420i | ||||
\(933\) | −3.97167 | − | 7.49662i | −0.130027 | − | 0.245428i | ||||
\(934\) | 45.4887 | + | 16.5565i | 1.48844 | + | 0.541747i | ||||
\(935\) | −3.11810 | − | 5.40072i | −0.101973 | − | 0.176622i | ||||
\(936\) | −91.6530 | + | 66.1723i | −2.99577 | + | 2.16291i | ||||
\(937\) | 2.40446 | + | 4.16464i | 0.0785502 | + | 0.136053i | 0.902625 | − | 0.430429i | \(-0.141638\pi\) |
−0.824074 | + | 0.566482i | \(0.808304\pi\) | |||||||
\(938\) | 3.71061 | + | 30.6749i | 0.121156 | + | 1.00157i | ||||
\(939\) | −2.98695 | + | 13.9500i | −0.0974756 | + | 0.455241i | ||||
\(940\) | 4.78414 | − | 1.74128i | 0.156041 | − | 0.0567944i | ||||
\(941\) | −20.0317 | + | 7.29093i | −0.653014 | + | 0.237678i | −0.647217 | − | 0.762306i | \(-0.724067\pi\) |
−0.00579654 | + | 0.999983i | \(0.501845\pi\) | |||||||
\(942\) | 2.58735 | + | 18.6117i | 0.0843004 | + | 0.606401i | ||||
\(943\) | 0.286626 | + | 1.62554i | 0.00933383 | + | 0.0529348i | ||||
\(944\) | −44.2738 | −1.44099 | ||||||||
\(945\) | 4.90799 | − | 5.98371i | 0.159657 | − | 0.194650i | ||||
\(946\) | 14.9093 | 0.484742 | ||||||||
\(947\) | 3.69929 | + | 20.9797i | 0.120211 | + | 0.681750i | 0.984038 | + | 0.177961i | \(0.0569500\pi\) |
−0.863827 | + | 0.503789i | \(0.831939\pi\) | |||||||
\(948\) | 80.2359 | + | 32.5569i | 2.60594 | + | 1.05740i | ||||
\(949\) | 0.131547 | − | 0.0478791i | 0.00427019 | − | 0.00155422i | ||||
\(950\) | −64.7883 | + | 23.5810i | −2.10201 | + | 0.765069i | ||||
\(951\) | −31.7442 | + | 10.2619i | −1.02938 | + | 0.332765i | ||||
\(952\) | −89.5014 | − | 38.1806i | −2.90076 | − | 1.23744i | ||||
\(953\) | 21.0918 | + | 36.5321i | 0.683231 | + | 1.18339i | 0.973989 | + | 0.226594i | \(0.0727591\pi\) |
−0.290758 | + | 0.956797i | \(0.593908\pi\) | |||||||
\(954\) | 3.55508 | − | 5.23681i | 0.115100 | − | 0.169548i | ||||
\(955\) | 2.97903 | + | 5.15983i | 0.0963990 | + | 0.166968i | ||||
\(956\) | −1.88242 | − | 0.685146i | −0.0608820 | − | 0.0221592i | ||||
\(957\) | 36.0916 | + | 1.31433i | 1.16667 | + | 0.0424863i | ||||
\(958\) | 59.9327 | − | 21.8137i | 1.93634 | − | 0.704769i | ||||
\(959\) | −10.5676 | − | 9.88991i | −0.341245 | − | 0.319362i | ||||
\(960\) | 6.57657 | + | 12.4134i | 0.212258 | + | 0.400642i | ||||
\(961\) | −14.0389 | + | 11.7801i | −0.452869 | + | 0.380002i | ||||
\(962\) | 39.5523 | + | 68.5066i | 1.27522 | + | 2.20874i | ||||
\(963\) | −27.7998 | + | 7.88165i | −0.895836 | + | 0.253983i | ||||
\(964\) | −34.0146 | + | 58.9150i | −1.09554 | + | 1.89753i | ||||
\(965\) | −2.54661 | + | 2.13686i | −0.0819784 | + | 0.0687880i | ||||
\(966\) | 7.27564 | + | 7.32361i | 0.234090 | + | 0.235633i | ||||
\(967\) | 5.87783 | − | 33.3348i | 0.189018 | − | 1.07198i | −0.731665 | − | 0.681665i | \(-0.761256\pi\) |
0.920683 | − | 0.390311i | \(-0.127633\pi\) | |||||||
\(968\) | 7.12137 | − | 40.3873i | 0.228889 | − | 1.29810i | ||||
\(969\) | 34.4949 | − | 26.8675i | 1.10814 | − | 0.863108i | ||||
\(970\) | −15.2942 | + | 12.8334i | −0.491069 | + | 0.412056i | ||||
\(971\) | −4.78248 | − | 8.28350i | −0.153477 | − | 0.265830i | 0.779026 | − | 0.626991i | \(-0.215714\pi\) |
−0.932503 | + | 0.361161i | \(0.882380\pi\) | |||||||
\(972\) | −68.3952 | + | 38.8097i | −2.19378 | + | 1.24482i | ||||
\(973\) | 13.2582 | − | 20.3360i | 0.425040 | − | 0.651943i | ||||
\(974\) | −5.64765 | − | 2.05558i | −0.180962 | − | 0.0658649i | ||||
\(975\) | 5.20788 | + | 37.4620i | 0.166786 | + | 1.19974i | ||||
\(976\) | −58.9898 | + | 21.4705i | −1.88822 | + | 0.687255i | ||||
\(977\) | −13.6443 | − | 11.4489i | −0.436520 | − | 0.366284i | 0.397885 | − | 0.917435i | \(-0.369744\pi\) |
−0.834405 | + | 0.551151i | \(0.814189\pi\) | |||||||
\(978\) | −22.5741 | + | 105.428i | −0.721840 | + | 3.37122i | ||||
\(979\) | 18.9855 | − | 15.9307i | 0.606779 | − | 0.509148i | ||||
\(980\) | −11.7421 | + | 16.0403i | −0.375086 | + | 0.512390i | ||||
\(981\) | −5.13742 | − | 4.99090i | −0.164025 | − | 0.159347i | ||||
\(982\) | 49.0365 | 1.56482 | ||||||||
\(983\) | −49.3155 | − | 17.9494i | −1.57292 | − | 0.572496i | −0.599270 | − | 0.800547i | \(-0.704542\pi\) |
−0.973649 | + | 0.228051i | \(0.926765\pi\) | |||||||
\(984\) | 27.2030 | + | 0.990640i | 0.867199 | + | 0.0315805i | ||||
\(985\) | 4.78170 | + | 4.01232i | 0.152358 | + | 0.127843i | ||||
\(986\) | −97.2319 | + | 35.3895i | −3.09649 | + | 1.12703i | ||||
\(987\) | −3.44754 | − | 7.45715i | −0.109736 | − | 0.237364i | ||||
\(988\) | 22.6571 | + | 128.495i | 0.720817 | + | 4.08796i | ||||
\(989\) | 1.95862 | 0.0622805 | ||||||||
\(990\) | 10.8820 | + | 0.793626i | 0.345854 | + | 0.0252231i | ||||
\(991\) | 16.3375 | 0.518976 | 0.259488 | − | 0.965746i | \(-0.416446\pi\) | ||||
0.259488 | + | 0.965746i | \(0.416446\pi\) | |||||||
\(992\) | −46.7940 | − | 17.0316i | −1.48571 | − | 0.540755i | ||||
\(993\) | 1.94476 | − | 0.628680i | 0.0617150 | − | 0.0199505i | ||||
\(994\) | 26.4241 | − | 113.527i | 0.838121 | − | 3.60085i | ||||
\(995\) | −5.41864 | − | 4.54678i | −0.171782 | − | 0.144143i | ||||
\(996\) | 26.2717 | − | 20.4625i | 0.832449 | − | 0.648380i | ||||
\(997\) | −37.2592 | + | 31.2642i | −1.18001 | + | 0.990147i | −0.180032 | + | 0.983661i | \(0.557620\pi\) |
−0.999979 | + | 0.00648637i | \(0.997935\pi\) | |||||||
\(998\) | 36.8047 | − | 63.7476i | 1.16503 | − | 2.01789i | ||||
\(999\) | 13.3726 | + | 30.4013i | 0.423090 | + | 0.961854i |
(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 | 189.2.u.a.4.2 | ✓ | 132 | |
3.2 | odd | 2 | 567.2.u.a.550.21 | 132 | |||
7.2 | even | 3 | 189.2.w.a.58.2 | yes | 132 | ||
21.2 | odd | 6 | 567.2.w.a.226.21 | 132 | |||
27.7 | even | 9 | 189.2.w.a.88.2 | yes | 132 | ||
27.20 | odd | 18 | 567.2.w.a.424.21 | 132 | |||
189.128 | odd | 18 | 567.2.u.a.100.21 | 132 | |||
189.142 | even | 9 | inner | 189.2.u.a.142.2 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.u.a.4.2 | ✓ | 132 | 1.1 | even | 1 | trivial | |
189.2.u.a.142.2 | yes | 132 | 189.142 | even | 9 | inner | |
189.2.w.a.58.2 | yes | 132 | 7.2 | even | 3 | ||
189.2.w.a.88.2 | yes | 132 | 27.7 | even | 9 | ||
567.2.u.a.100.21 | 132 | 189.128 | odd | 18 | |||
567.2.u.a.550.21 | 132 | 3.2 | odd | 2 | |||
567.2.w.a.226.21 | 132 | 21.2 | odd | 6 | |||
567.2.w.a.424.21 | 132 | 27.20 | odd | 18 |