Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(49,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.r (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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 169.8 | ||
Character | \(\chi\) | \(=\) | 690.169 |
Dual form | 690.2.r.b.49.8 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.989821 | + | 0.142315i | 0.699909 | + | 0.100632i | ||||
\(3\) | −0.909632 | + | 0.415415i | −0.525176 | + | 0.239840i | ||||
\(4\) | 0.959493 | + | 0.281733i | 0.479746 | + | 0.140866i | ||||
\(5\) | −2.12842 | + | 0.685448i | −0.951857 | + | 0.306542i | ||||
\(6\) | −0.959493 | + | 0.281733i | −0.391711 | + | 0.115017i | ||||
\(7\) | −2.34067 | + | 3.64216i | −0.884691 | + | 1.37661i | 0.0413342 | + | 0.999145i | \(0.486839\pi\) |
−0.926025 | + | 0.377461i | \(0.876797\pi\) | |||||||
\(8\) | 0.909632 | + | 0.415415i | 0.321603 | + | 0.146871i | ||||
\(9\) | 0.654861 | − | 0.755750i | 0.218287 | − | 0.251917i | ||||
\(10\) | −2.20430 | + | 0.375565i | −0.697062 | + | 0.118764i | ||||
\(11\) | −0.630409 | − | 4.38459i | −0.190075 | − | 1.32200i | −0.831803 | − | 0.555071i | \(-0.812691\pi\) |
0.641728 | − | 0.766932i | \(-0.278218\pi\) | |||||||
\(12\) | −0.989821 | + | 0.142315i | −0.285737 | + | 0.0410828i | ||||
\(13\) | −2.80393 | − | 4.36300i | −0.777670 | − | 1.21008i | −0.973331 | − | 0.229406i | \(-0.926322\pi\) |
0.195661 | − | 0.980672i | \(-0.437315\pi\) | |||||||
\(14\) | −2.83518 | + | 3.27197i | −0.757734 | + | 0.874472i | ||||
\(15\) | 1.65133 | − | 1.50768i | 0.426372 | − | 0.389282i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | −0.0366362 | − | 0.124771i | −0.00888559 | − | 0.0302615i | 0.954931 | − | 0.296828i | \(-0.0959289\pi\) |
−0.963816 | + | 0.266567i | \(0.914111\pi\) | |||||||
\(18\) | 0.755750 | − | 0.654861i | 0.178132 | − | 0.154352i | ||||
\(19\) | −4.41094 | − | 1.29517i | −1.01194 | − | 0.297132i | −0.266593 | − | 0.963809i | \(-0.585898\pi\) |
−0.745347 | + | 0.666677i | \(0.767716\pi\) | |||||||
\(20\) | −2.23531 | + | 0.0580378i | −0.499832 | + | 0.0129776i | ||||
\(21\) | 0.616144 | − | 4.28537i | 0.134454 | − | 0.935145i | ||||
\(22\) | − | 4.42968i | − | 0.944410i | ||||||
\(23\) | 3.10096 | − | 3.65842i | 0.646594 | − | 0.762834i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 4.06032 | − | 2.91784i | 0.812065 | − | 0.583568i | ||||
\(26\) | −2.15447 | − | 4.71763i | −0.422526 | − | 0.925203i | ||||
\(27\) | −0.281733 | + | 0.959493i | −0.0542195 | + | 0.184655i | ||||
\(28\) | −3.27197 | + | 2.83518i | −0.618345 | + | 0.535799i | ||||
\(29\) | −3.51741 | + | 1.03280i | −0.653166 | + | 0.191787i | −0.591494 | − | 0.806310i | \(-0.701462\pi\) |
−0.0616723 | + | 0.998096i | \(0.519643\pi\) | |||||||
\(30\) | 1.84909 | − | 1.25733i | 0.337596 | − | 0.229555i | ||||
\(31\) | −3.45167 | + | 7.55811i | −0.619939 | + | 1.35748i | 0.295625 | + | 0.955304i | \(0.404472\pi\) |
−0.915564 | + | 0.402172i | \(0.868255\pi\) | |||||||
\(32\) | 0.755750 | + | 0.654861i | 0.133599 | + | 0.115764i | ||||
\(33\) | 2.39486 | + | 3.72648i | 0.416892 | + | 0.648697i | ||||
\(34\) | −0.0185065 | − | 0.128715i | −0.00317383 | − | 0.0220745i | ||||
\(35\) | 2.48542 | − | 9.35644i | 0.420113 | − | 1.58153i | ||||
\(36\) | 0.841254 | − | 0.540641i | 0.140209 | − | 0.0901068i | ||||
\(37\) | −8.53579 | − | 7.39630i | −1.40328 | − | 1.21594i | −0.944973 | − | 0.327149i | \(-0.893912\pi\) |
−0.458302 | − | 0.888796i | \(-0.651542\pi\) | |||||||
\(38\) | −4.18173 | − | 1.90973i | −0.678365 | − | 0.309799i | ||||
\(39\) | 4.36300 | + | 2.80393i | 0.698639 | + | 0.448988i | ||||
\(40\) | −2.22082 | − | 0.260671i | −0.351143 | − | 0.0412158i | ||||
\(41\) | 5.06753 | + | 5.84824i | 0.791415 | + | 0.913341i | 0.997878 | − | 0.0651131i | \(-0.0207408\pi\) |
−0.206463 | + | 0.978454i | \(0.566195\pi\) | |||||||
\(42\) | 1.21974 | − | 4.15407i | 0.188211 | − | 0.640987i | ||||
\(43\) | −4.40797 | + | 2.01305i | −0.672208 | + | 0.306987i | −0.722121 | − | 0.691766i | \(-0.756833\pi\) |
0.0499131 | + | 0.998754i | \(0.484106\pi\) | |||||||
\(44\) | 0.630409 | − | 4.38459i | 0.0950377 | − | 0.661002i | ||||
\(45\) | −0.875790 | + | 2.05742i | −0.130555 | + | 0.306703i | ||||
\(46\) | 3.59004 | − | 3.17987i | 0.529323 | − | 0.468847i | ||||
\(47\) | 9.46833i | 1.38110i | 0.723286 | + | 0.690549i | \(0.242631\pi\) | ||||
−0.723286 | + | 0.690549i | \(0.757369\pi\) | |||||||
\(48\) | −0.989821 | − | 0.142315i | −0.142868 | − | 0.0205414i | ||||
\(49\) | −4.87866 | − | 10.6828i | −0.696952 | − | 1.52611i | ||||
\(50\) | 4.43425 | − | 2.31029i | 0.627097 | − | 0.326725i | ||||
\(51\) | 0.0851574 | + | 0.0982769i | 0.0119244 | + | 0.0137615i | ||||
\(52\) | −1.46115 | − | 4.97622i | −0.202625 | − | 0.690078i | ||||
\(53\) | −3.26756 | + | 5.08442i | −0.448833 | + | 0.698398i | −0.989771 | − | 0.142664i | \(-0.954433\pi\) |
0.540938 | + | 0.841063i | \(0.318069\pi\) | |||||||
\(54\) | −0.415415 | + | 0.909632i | −0.0565308 | + | 0.123785i | ||||
\(55\) | 4.34718 | + | 8.90012i | 0.586173 | + | 1.20009i | ||||
\(56\) | −3.64216 | + | 2.34067i | −0.486704 | + | 0.312786i | ||||
\(57\) | 4.55037 | − | 0.654244i | 0.602711 | − | 0.0866568i | ||||
\(58\) | −3.62859 | + | 0.521712i | −0.476457 | + | 0.0685042i | ||||
\(59\) | −4.79503 | + | 3.08158i | −0.624260 | + | 0.401187i | −0.814180 | − | 0.580612i | \(-0.802813\pi\) |
0.189921 | + | 0.981799i | \(0.439177\pi\) | |||||||
\(60\) | 2.00920 | − | 0.981376i | 0.259387 | − | 0.126695i | ||||
\(61\) | −0.903633 | + | 1.97868i | −0.115698 | + | 0.253344i | −0.958618 | − | 0.284695i | \(-0.908108\pi\) |
0.842920 | + | 0.538039i | \(0.180835\pi\) | |||||||
\(62\) | −4.49217 | + | 6.98995i | −0.570506 | + | 0.887725i | ||||
\(63\) | 1.21974 | + | 4.15407i | 0.153673 | + | 0.523364i | ||||
\(64\) | 0.654861 | + | 0.755750i | 0.0818576 | + | 0.0944687i | ||||
\(65\) | 8.95854 | + | 7.36433i | 1.11117 | + | 0.913433i | ||||
\(66\) | 1.84015 | + | 4.02937i | 0.226507 | + | 0.495982i | ||||
\(67\) | −6.46450 | − | 0.929455i | −0.789765 | − | 0.113551i | −0.264383 | − | 0.964418i | \(-0.585168\pi\) |
−0.525382 | + | 0.850867i | \(0.676077\pi\) | |||||||
\(68\) | − | 0.130039i | − | 0.0157695i | ||||||
\(69\) | −1.30097 | + | 4.61600i | −0.156618 | + | 0.555702i | ||||
\(70\) | 3.79168 | − | 8.90750i | 0.453193 | − | 1.06465i | ||||
\(71\) | −0.336289 | + | 2.33894i | −0.0399101 | + | 0.277581i | −0.999998 | − | 0.00211837i | \(-0.999326\pi\) |
0.960088 | + | 0.279699i | \(0.0902348\pi\) | |||||||
\(72\) | 0.909632 | − | 0.415415i | 0.107201 | − | 0.0489571i | ||||
\(73\) | −0.190467 | + | 0.648670i | −0.0222925 | + | 0.0759211i | −0.969888 | − | 0.243551i | \(-0.921688\pi\) |
0.947596 | + | 0.319473i | \(0.103506\pi\) | |||||||
\(74\) | −7.39630 | − | 8.53579i | −0.859803 | − | 0.992265i | ||||
\(75\) | −2.48129 | + | 4.34088i | −0.286514 | + | 0.501241i | ||||
\(76\) | −3.86738 | − | 2.48541i | −0.443619 | − | 0.285096i | ||||
\(77\) | 17.4449 | + | 7.96684i | 1.98804 | + | 0.907906i | ||||
\(78\) | 3.91955 | + | 3.39631i | 0.443801 | + | 0.384556i | ||||
\(79\) | 8.85021 | − | 5.68769i | 0.995727 | − | 0.639915i | 0.0620656 | − | 0.998072i | \(-0.480231\pi\) |
0.933661 | + | 0.358157i | \(0.116595\pi\) | |||||||
\(80\) | −2.16112 | − | 0.574074i | −0.241621 | − | 0.0641834i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | 4.18366 | + | 6.50989i | 0.462007 | + | 0.718898i | ||||
\(83\) | −2.45486 | − | 2.12715i | −0.269456 | − | 0.233485i | 0.509643 | − | 0.860386i | \(-0.329778\pi\) |
−0.779099 | + | 0.626901i | \(0.784323\pi\) | |||||||
\(84\) | 1.79852 | − | 3.93820i | 0.196234 | − | 0.429693i | ||||
\(85\) | 0.163501 | + | 0.240454i | 0.0177342 | + | 0.0260809i | ||||
\(86\) | −4.64959 | + | 1.36524i | −0.501378 | + | 0.147218i | ||||
\(87\) | 2.77050 | − | 2.40065i | 0.297029 | − | 0.257377i | ||||
\(88\) | 1.24798 | − | 4.25024i | 0.133036 | − | 0.453077i | ||||
\(89\) | −4.68820 | − | 10.2657i | −0.496948 | − | 1.08816i | −0.977449 | − | 0.211170i | \(-0.932273\pi\) |
0.480501 | − | 0.876994i | \(-0.340455\pi\) | |||||||
\(90\) | −1.15968 | + | 1.91184i | −0.122241 | + | 0.201526i | ||||
\(91\) | 22.4538 | 2.35380 | ||||||||
\(92\) | 4.00604 | − | 2.63659i | 0.417659 | − | 0.274884i | ||||
\(93\) | − | 8.30897i | − | 0.861600i | ||||||
\(94\) | −1.34748 | + | 9.37195i | −0.138982 | + | 0.966643i | ||||
\(95\) | 10.2761 | − | 0.266809i | 1.05431 | − | 0.0273740i | ||||
\(96\) | −0.959493 | − | 0.281733i | −0.0979278 | − | 0.0287542i | ||||
\(97\) | 5.09682 | − | 4.41642i | 0.517504 | − | 0.448419i | −0.356531 | − | 0.934284i | \(-0.616040\pi\) |
0.874034 | + | 0.485864i | \(0.161495\pi\) | |||||||
\(98\) | −3.30869 | − | 11.2683i | −0.334228 | − | 1.13828i | ||||
\(99\) | −3.72648 | − | 2.39486i | −0.374525 | − | 0.240693i | ||||
\(100\) | 4.71790 | − | 1.65572i | 0.471790 | − | 0.165572i | ||||
\(101\) | 7.83312 | − | 9.03990i | 0.779424 | − | 0.899504i | −0.217643 | − | 0.976028i | \(-0.569837\pi\) |
0.997068 | + | 0.0765246i | \(0.0243824\pi\) | |||||||
\(102\) | 0.0703044 | + | 0.109396i | 0.00696117 | + | 0.0108318i | ||||
\(103\) | −12.0663 | + | 1.73487i | −1.18893 | + | 0.170942i | −0.708253 | − | 0.705959i | \(-0.750516\pi\) |
−0.480672 | + | 0.876900i | \(0.659607\pi\) | |||||||
\(104\) | −0.738088 | − | 5.13352i | −0.0723755 | − | 0.503383i | ||||
\(105\) | 1.62599 | + | 9.54340i | 0.158680 | + | 0.931341i | ||||
\(106\) | −3.95788 | + | 4.56764i | −0.384424 | + | 0.443649i | ||||
\(107\) | 14.2426 | + | 6.50436i | 1.37688 | + | 0.628800i | 0.959959 | − | 0.280142i | \(-0.0903814\pi\) |
0.416922 | + | 0.908942i | \(0.363109\pi\) | |||||||
\(108\) | −0.540641 | + | 0.841254i | −0.0520232 | + | 0.0809497i | ||||
\(109\) | −8.36349 | + | 2.45574i | −0.801077 | + | 0.235217i | −0.656549 | − | 0.754283i | \(-0.727984\pi\) |
−0.144528 | + | 0.989501i | \(0.546166\pi\) | |||||||
\(110\) | 3.03631 | + | 9.42820i | 0.289501 | + | 0.898944i | ||||
\(111\) | 10.8370 | + | 3.18202i | 1.02860 | + | 0.302024i | ||||
\(112\) | −3.93820 | + | 1.79852i | −0.372125 | + | 0.169944i | ||||
\(113\) | −14.6613 | − | 2.10797i | −1.37922 | − | 0.198301i | −0.587516 | − | 0.809212i | \(-0.699894\pi\) |
−0.791699 | + | 0.610911i | \(0.790803\pi\) | |||||||
\(114\) | 4.59716 | 0.430564 | ||||||||
\(115\) | −4.09247 | + | 9.91220i | −0.381625 | + | 0.924317i | ||||
\(116\) | −3.66590 | −0.340370 | ||||||||
\(117\) | −5.13352 | − | 0.738088i | −0.474594 | − | 0.0682363i | ||||
\(118\) | −5.18478 | + | 2.36781i | −0.477297 | + | 0.217974i | ||||
\(119\) | 0.540191 | + | 0.158614i | 0.0495192 | + | 0.0145402i | ||||
\(120\) | 2.12842 | − | 0.685448i | 0.194297 | − | 0.0625725i | ||||
\(121\) | −8.27278 | + | 2.42911i | −0.752071 | + | 0.220828i | ||||
\(122\) | −1.17603 | + | 1.82994i | −0.106473 | + | 0.165675i | ||||
\(123\) | −7.03903 | − | 3.21462i | −0.634688 | − | 0.289852i | ||||
\(124\) | −5.44122 | + | 6.27950i | −0.488636 | + | 0.563916i | ||||
\(125\) | −6.64204 | + | 8.99352i | −0.594082 | + | 0.804405i | ||||
\(126\) | 0.616144 | + | 4.28537i | 0.0548905 | + | 0.381771i | ||||
\(127\) | −0.165368 | + | 0.0237764i | −0.0146741 | + | 0.00210981i | −0.149648 | − | 0.988739i | \(-0.547814\pi\) |
0.134974 | + | 0.990849i | \(0.456905\pi\) | |||||||
\(128\) | 0.540641 | + | 0.841254i | 0.0477863 | + | 0.0743570i | ||||
\(129\) | 3.17337 | − | 3.66227i | 0.279400 | − | 0.322445i | ||||
\(130\) | 7.81930 | + | 8.56431i | 0.685798 | + | 0.751140i | ||||
\(131\) | 11.4101 | + | 7.33283i | 0.996905 | + | 0.640672i | 0.933972 | − | 0.357346i | \(-0.116318\pi\) |
0.0629330 | + | 0.998018i | \(0.479955\pi\) | |||||||
\(132\) | 1.24798 | + | 4.25024i | 0.108623 | + | 0.369936i | ||||
\(133\) | 15.0418 | − | 13.0338i | 1.30429 | − | 1.13017i | ||||
\(134\) | −6.26643 | − | 1.83999i | −0.541337 | − | 0.158951i | ||||
\(135\) | −0.0580378 | − | 2.23531i | −0.00499510 | − | 0.192385i | ||||
\(136\) | 0.0185065 | − | 0.128715i | 0.00158692 | − | 0.0110373i | ||||
\(137\) | − | 17.0033i | − | 1.45269i | −0.687331 | − | 0.726345i | \(-0.741218\pi\) | ||
0.687331 | − | 0.726345i | \(-0.258782\pi\) | |||||||
\(138\) | −1.94465 | + | 4.38387i | −0.165540 | + | 0.373180i | ||||
\(139\) | −1.40019 | −0.118763 | −0.0593814 | − | 0.998235i | \(-0.518913\pi\) | ||||
−0.0593814 | + | 0.998235i | \(0.518913\pi\) | |||||||
\(140\) | 5.02076 | − | 8.27722i | 0.424331 | − | 0.699553i | ||||
\(141\) | −3.93329 | − | 8.61269i | −0.331242 | − | 0.725320i | ||||
\(142\) | −0.665731 | + | 2.26727i | −0.0558669 | + | 0.190265i | ||||
\(143\) | −17.3623 | + | 15.0445i | −1.45191 | + | 1.25809i | ||||
\(144\) | 0.959493 | − | 0.281733i | 0.0799577 | − | 0.0234777i | ||||
\(145\) | 6.77858 | − | 4.60924i | 0.562930 | − | 0.382776i | ||||
\(146\) | −0.280844 | + | 0.614962i | −0.0232428 | + | 0.0508946i | ||||
\(147\) | 8.87557 | + | 7.69073i | 0.732045 | + | 0.634321i | ||||
\(148\) | −6.10625 | − | 9.50151i | −0.501931 | − | 0.781019i | ||||
\(149\) | 1.48561 | + | 10.3326i | 0.121706 | + | 0.846482i | 0.955623 | + | 0.294593i | \(0.0951839\pi\) |
−0.833917 | + | 0.551890i | \(0.813907\pi\) | |||||||
\(150\) | −3.07380 | + | 3.94357i | −0.250975 | + | 0.321991i | ||||
\(151\) | −1.26507 | + | 0.813014i | −0.102950 | + | 0.0661621i | −0.591103 | − | 0.806596i | \(-0.701307\pi\) |
0.488153 | + | 0.872758i | \(0.337671\pi\) | |||||||
\(152\) | −3.47430 | − | 3.01050i | −0.281803 | − | 0.244184i | ||||
\(153\) | −0.118288 | − | 0.0540201i | −0.00956299 | − | 0.00436727i | ||||
\(154\) | 16.1336 | + | 10.3684i | 1.30008 | + | 0.835511i | ||||
\(155\) | 2.16591 | − | 18.4527i | 0.173970 | − | 1.48216i | ||||
\(156\) | 3.39631 | + | 3.91955i | 0.271922 | + | 0.313815i | ||||
\(157\) | −4.00150 | + | 13.6279i | −0.319355 | + | 1.08762i | 0.630827 | + | 0.775924i | \(0.282716\pi\) |
−0.950181 | + | 0.311698i | \(0.899102\pi\) | |||||||
\(158\) | 9.56957 | − | 4.37028i | 0.761314 | − | 0.347681i | ||||
\(159\) | 0.860131 | − | 5.98234i | 0.0682128 | − | 0.474430i | ||||
\(160\) | −2.05742 | − | 0.875790i | −0.162654 | − | 0.0692373i | ||||
\(161\) | 6.06623 | + | 19.8573i | 0.478086 | + | 1.56498i | ||||
\(162\) | − | 1.00000i | − | 0.0785674i | ||||||
\(163\) | 5.35398 | + | 0.769786i | 0.419356 | + | 0.0602943i | 0.348763 | − | 0.937211i | \(-0.386602\pi\) |
0.0705929 | + | 0.997505i | \(0.477511\pi\) | |||||||
\(164\) | 3.21462 | + | 7.03903i | 0.251019 | + | 0.549656i | ||||
\(165\) | −7.65158 | − | 6.28995i | −0.595674 | − | 0.489672i | ||||
\(166\) | −2.12715 | − | 2.45486i | −0.165099 | − | 0.190534i | ||||
\(167\) | 2.04558 | + | 6.96662i | 0.158292 | + | 0.539093i | 1.00000 | 0.000840578i | \(-0.000267564\pi\) | |
−0.841708 | + | 0.539933i | \(0.818449\pi\) | |||||||
\(168\) | 2.34067 | − | 3.64216i | 0.180587 | − | 0.280999i | ||||
\(169\) | −5.77334 | + | 12.6418i | −0.444103 | + | 0.972450i | ||||
\(170\) | 0.127617 | + | 0.261275i | 0.00978779 | + | 0.0200389i | ||||
\(171\) | −3.86738 | + | 2.48541i | −0.295746 | + | 0.190064i | ||||
\(172\) | −4.79655 | + | 0.689640i | −0.365734 | + | 0.0525846i | ||||
\(173\) | 3.33220 | − | 0.479098i | 0.253342 | − | 0.0364251i | −0.0144735 | − | 0.999895i | \(-0.504607\pi\) |
0.267816 | + | 0.963470i | \(0.413698\pi\) | |||||||
\(174\) | 3.08395 | − | 1.98194i | 0.233794 | − | 0.150250i | ||||
\(175\) | 1.12334 | + | 21.6180i | 0.0849165 | + | 1.63417i | ||||
\(176\) | 1.84015 | − | 4.02937i | 0.138707 | − | 0.303726i | ||||
\(177\) | 3.08158 | − | 4.79503i | 0.231626 | − | 0.360416i | ||||
\(178\) | −3.17951 | − | 10.8284i | −0.238315 | − | 0.811625i | ||||
\(179\) | 5.11153 | + | 5.89903i | 0.382054 | + | 0.440914i | 0.913907 | − | 0.405923i | \(-0.133050\pi\) |
−0.531853 | + | 0.846836i | \(0.678504\pi\) | |||||||
\(180\) | −1.41996 | + | 1.72734i | −0.105837 | + | 0.128749i | ||||
\(181\) | 4.65068 | + | 10.1836i | 0.345682 | + | 0.756939i | 1.00000 | 0.000718616i | \(0.000228743\pi\) | |
−0.654317 | + | 0.756220i | \(0.727044\pi\) | |||||||
\(182\) | 22.2253 | + | 3.19551i | 1.64745 | + | 0.236867i | ||||
\(183\) | − | 2.17525i | − | 0.160799i | ||||||
\(184\) | 4.34049 | − | 2.03964i | 0.319985 | − | 0.150364i | ||||
\(185\) | 23.2375 | + | 9.89159i | 1.70846 | + | 0.727244i | ||||
\(186\) | 1.18249 | − | 8.22440i | 0.0867044 | − | 0.603042i | ||||
\(187\) | −0.523976 | + | 0.239292i | −0.0383169 | + | 0.0174987i | ||||
\(188\) | −2.66754 | + | 9.08479i | −0.194550 | + | 0.662577i | ||||
\(189\) | −2.83518 | − | 3.27197i | −0.206229 | − | 0.238001i | ||||
\(190\) | 10.2095 | + | 1.19835i | 0.740673 | + | 0.0869373i | ||||
\(191\) | 4.34290 | + | 2.79101i | 0.314241 | + | 0.201951i | 0.688248 | − | 0.725475i | \(-0.258380\pi\) |
−0.374007 | + | 0.927426i | \(0.622016\pi\) | |||||||
\(192\) | −0.909632 | − | 0.415415i | −0.0656470 | − | 0.0299800i | ||||
\(193\) | −10.6649 | − | 9.24120i | −0.767677 | − | 0.665196i | 0.180272 | − | 0.983617i | \(-0.442302\pi\) |
−0.947950 | + | 0.318421i | \(0.896848\pi\) | |||||||
\(194\) | 5.67346 | − | 3.64611i | 0.407331 | − | 0.261776i | ||||
\(195\) | −11.2082 | − | 2.97732i | −0.802638 | − | 0.213211i | ||||
\(196\) | −1.67135 | − | 11.6245i | −0.119382 | − | 0.830324i | ||||
\(197\) | −12.5825 | − | 19.5787i | −0.896465 | − | 1.39493i | −0.918607 | − | 0.395173i | \(-0.870685\pi\) |
0.0221415 | − | 0.999755i | \(-0.492952\pi\) | |||||||
\(198\) | −3.34773 | − | 2.90082i | −0.237913 | − | 0.206152i | ||||
\(199\) | −0.854686 | + | 1.87150i | −0.0605871 | + | 0.132667i | −0.937504 | − | 0.347975i | \(-0.886869\pi\) |
0.876917 | + | 0.480643i | \(0.159597\pi\) | |||||||
\(200\) | 4.90551 | − | 0.967440i | 0.346872 | − | 0.0684083i | ||||
\(201\) | 6.26643 | − | 1.83999i | 0.442000 | − | 0.129783i | ||||
\(202\) | 9.03990 | − | 7.83312i | 0.636045 | − | 0.551136i | ||||
\(203\) | 4.47146 | − | 15.2284i | 0.313835 | − | 1.06882i | ||||
\(204\) | 0.0540201 | + | 0.118288i | 0.00378217 | + | 0.00828179i | ||||
\(205\) | −14.7945 | − | 8.97397i | −1.03329 | − | 0.626769i | ||||
\(206\) | −12.1904 | −0.849342 | ||||||||
\(207\) | −0.734158 | − | 4.73931i | −0.0510275 | − | 0.329404i | ||||
\(208\) | − | 5.18630i | − | 0.359606i | ||||||
\(209\) | −2.89809 | + | 20.1567i | −0.200465 | + | 1.39427i | ||||
\(210\) | 0.251271 | + | 9.67766i | 0.0173394 | + | 0.667822i | ||||
\(211\) | −8.24475 | − | 2.42088i | −0.567592 | − | 0.166660i | −0.0146690 | − | 0.999892i | \(-0.504669\pi\) |
−0.552923 | + | 0.833232i | \(0.686488\pi\) | |||||||
\(212\) | −4.56764 | + | 3.95788i | −0.313707 | + | 0.271829i | ||||
\(213\) | −0.665731 | − | 2.26727i | −0.0456152 | − | 0.155351i | ||||
\(214\) | 13.1719 | + | 8.46509i | 0.900415 | + | 0.578661i | ||||
\(215\) | 8.00215 | − | 7.30604i | 0.545742 | − | 0.498268i | ||||
\(216\) | −0.654861 | + | 0.755750i | −0.0445576 | + | 0.0514222i | ||||
\(217\) | −19.4486 | − | 30.2626i | −1.32026 | − | 2.05436i | ||||
\(218\) | −8.62785 | + | 1.24050i | −0.584352 | + | 0.0840171i | ||||
\(219\) | −0.0962127 | − | 0.669174i | −0.00650145 | − | 0.0452186i | ||||
\(220\) | 1.66363 | + | 9.76435i | 0.112162 | + | 0.658312i | ||||
\(221\) | −0.441652 | + | 0.509694i | −0.0297087 | + | 0.0342857i | ||||
\(222\) | 10.2738 | + | 4.69189i | 0.689533 | + | 0.314899i | ||||
\(223\) | −0.0747794 | + | 0.116359i | −0.00500760 | + | 0.00779197i | −0.843748 | − | 0.536739i | \(-0.819656\pi\) |
0.838741 | + | 0.544531i | \(0.183292\pi\) | |||||||
\(224\) | −4.15407 | + | 1.21974i | −0.277555 | + | 0.0814976i | ||||
\(225\) | 0.453791 | − | 4.97936i | 0.0302527 | − | 0.331958i | ||||
\(226\) | −14.2120 | − | 4.17303i | −0.945370 | − | 0.277586i | ||||
\(227\) | 20.9240 | − | 9.55568i | 1.38878 | − | 0.634233i | 0.426047 | − | 0.904701i | \(-0.359906\pi\) |
0.962729 | + | 0.270468i | \(0.0871784\pi\) | |||||||
\(228\) | 4.55037 | + | 0.654244i | 0.301356 | + | 0.0433284i | ||||
\(229\) | −24.7397 | −1.63484 | −0.817422 | − | 0.576039i | \(-0.804598\pi\) | ||||
−0.817422 | + | 0.576039i | \(0.804598\pi\) | |||||||
\(230\) | −5.46147 | + | 9.22889i | −0.360119 | + | 0.608535i | ||||
\(231\) | −19.1780 | −1.26182 | ||||||||
\(232\) | −3.62859 | − | 0.521712i | −0.238228 | − | 0.0342521i | ||||
\(233\) | 2.04958 | − | 0.936013i | 0.134273 | − | 0.0613202i | −0.347146 | − | 0.937811i | \(-0.612849\pi\) |
0.481418 | + | 0.876491i | \(0.340122\pi\) | |||||||
\(234\) | −4.97622 | − | 1.46115i | −0.325306 | − | 0.0955184i | ||||
\(235\) | −6.49004 | − | 20.1526i | −0.423364 | − | 1.31461i | ||||
\(236\) | −5.46898 | + | 1.60584i | −0.356000 | + | 0.104531i | ||||
\(237\) | −5.68769 | + | 8.85021i | −0.369455 | + | 0.574883i | ||||
\(238\) | 0.512119 | + | 0.233877i | 0.0331958 | + | 0.0151600i | ||||
\(239\) | 1.57070 | − | 1.81268i | 0.101600 | − | 0.117253i | −0.702672 | − | 0.711514i | \(-0.748010\pi\) |
0.804272 | + | 0.594261i | \(0.202555\pi\) | |||||||
\(240\) | 2.20430 | − | 0.375565i | 0.142287 | − | 0.0242426i | ||||
\(241\) | −0.872905 | − | 6.07119i | −0.0562288 | − | 0.391080i | −0.998429 | − | 0.0560296i | \(-0.982156\pi\) |
0.942200 | − | 0.335050i | \(-0.108753\pi\) | |||||||
\(242\) | −8.53427 | + | 1.22704i | −0.548604 | + | 0.0788773i | ||||
\(243\) | 0.540641 | + | 0.841254i | 0.0346821 | + | 0.0539664i | ||||
\(244\) | −1.42449 | + | 1.64395i | −0.0911935 | + | 0.105243i | ||||
\(245\) | 17.7063 | + | 19.3933i | 1.13122 | + | 1.23900i | ||||
\(246\) | −6.50989 | − | 4.18366i | −0.415056 | − | 0.266740i | ||||
\(247\) | 6.71715 | + | 22.8765i | 0.427402 | + | 1.45560i | ||||
\(248\) | −6.27950 | + | 5.44122i | −0.398749 | + | 0.345518i | ||||
\(249\) | 3.11667 | + | 0.915137i | 0.197511 | + | 0.0579944i | ||||
\(250\) | −7.85434 | + | 7.95672i | −0.496752 | + | 0.503227i | ||||
\(251\) | 0.669302 | − | 4.65509i | 0.0422459 | − | 0.293827i | −0.957735 | − | 0.287652i | \(-0.907125\pi\) |
0.999981 | − | 0.00617495i | \(-0.00196556\pi\) | |||||||
\(252\) | 4.32944i | 0.272729i | ||||||||
\(253\) | −17.9956 | − | 11.2901i | −1.13137 | − | 0.709804i | ||||
\(254\) | −0.167069 | −0.0104828 | ||||||||
\(255\) | −0.248614 | − | 0.150803i | −0.0155688 | − | 0.00944367i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | 7.38123 | − | 25.1382i | 0.460428 | − | 1.56808i | −0.322879 | − | 0.946440i | \(-0.604651\pi\) |
0.783307 | − | 0.621635i | \(-0.213531\pi\) | |||||||
\(258\) | 3.66227 | − | 3.17337i | 0.228003 | − | 0.197566i | ||||
\(259\) | 46.9180 | − | 13.7764i | 2.91534 | − | 0.856022i | ||||
\(260\) | 6.52088 | + | 9.58994i | 0.404408 | + | 0.594743i | ||||
\(261\) | −1.52287 | + | 3.33462i | −0.0942633 | + | 0.206408i | ||||
\(262\) | 10.2504 | + | 8.88202i | 0.633271 | + | 0.548733i | ||||
\(263\) | 12.5138 | + | 19.4718i | 0.771633 | + | 1.20068i | 0.975135 | + | 0.221610i | \(0.0711312\pi\) |
−0.203502 | + | 0.979074i | \(0.565232\pi\) | |||||||
\(264\) | 0.630409 | + | 4.38459i | 0.0387990 | + | 0.269853i | ||||
\(265\) | 3.46962 | − | 13.0615i | 0.213137 | − | 0.802361i | ||||
\(266\) | 16.7436 | − | 10.7605i | 1.02662 | − | 0.659766i | ||||
\(267\) | 8.52907 | + | 7.39048i | 0.521971 | + | 0.452290i | ||||
\(268\) | −5.94079 | − | 2.71307i | −0.362891 | − | 0.165727i | ||||
\(269\) | 8.98322 | + | 5.77316i | 0.547716 | + | 0.351996i | 0.785050 | − | 0.619432i | \(-0.212637\pi\) |
−0.237334 | + | 0.971428i | \(0.576273\pi\) | |||||||
\(270\) | 0.260671 | − | 2.22082i | 0.0158640 | − | 0.135155i | ||||
\(271\) | −15.7156 | − | 18.1368i | −0.954656 | − | 1.10173i | −0.994729 | − | 0.102535i | \(-0.967305\pi\) |
0.0400732 | − | 0.999197i | \(-0.487241\pi\) | |||||||
\(272\) | 0.0366362 | − | 0.124771i | 0.00222140 | − | 0.00756538i | ||||
\(273\) | −20.4247 | + | 9.32765i | −1.23616 | + | 0.564535i | ||||
\(274\) | 2.41982 | − | 16.8302i | 0.146187 | − | 1.01675i | ||||
\(275\) | −15.3532 | − | 15.9634i | −0.925832 | − | 0.962630i | ||||
\(276\) | −2.54875 | + | 4.06250i | −0.153416 | + | 0.244534i | ||||
\(277\) | 21.0021i | 1.26189i | 0.775826 | + | 0.630947i | \(0.217334\pi\) | ||||
−0.775826 | + | 0.630947i | \(0.782666\pi\) | |||||||
\(278\) | −1.38594 | − | 0.199268i | −0.0831233 | − | 0.0119513i | ||||
\(279\) | 3.45167 | + | 7.55811i | 0.206646 | + | 0.452492i | ||||
\(280\) | 6.14762 | − | 7.47844i | 0.367391 | − | 0.446922i | ||||
\(281\) | −10.4306 | − | 12.0375i | −0.622235 | − | 0.718098i | 0.353895 | − | 0.935285i | \(-0.384857\pi\) |
−0.976130 | + | 0.217188i | \(0.930312\pi\) | |||||||
\(282\) | −2.66754 | − | 9.08479i | −0.158849 | − | 0.540992i | ||||
\(283\) | −17.1654 | + | 26.7098i | −1.02038 | + | 1.58774i | −0.231832 | + | 0.972756i | \(0.574472\pi\) |
−0.788543 | + | 0.614979i | \(0.789164\pi\) | |||||||
\(284\) | −0.981622 | + | 2.14945i | −0.0582485 | + | 0.127547i | ||||
\(285\) | −9.23663 | + | 4.51155i | −0.547131 | + | 0.267241i | ||||
\(286\) | −19.3267 | + | 12.4205i | −1.14281 | + | 0.734439i | ||||
\(287\) | −33.1616 | + | 4.76792i | −1.95747 | + | 0.281442i | ||||
\(288\) | 0.989821 | − | 0.142315i | 0.0583258 | − | 0.00838598i | ||||
\(289\) | 14.2871 | − | 9.18175i | 0.840417 | − | 0.540103i | ||||
\(290\) | 7.36554 | − | 3.59763i | 0.432520 | − | 0.211260i | ||||
\(291\) | −2.80158 | + | 6.13461i | −0.164232 | + | 0.359617i | ||||
\(292\) | −0.365503 | + | 0.568734i | −0.0213895 | + | 0.0332826i | ||||
\(293\) | −5.59145 | − | 19.0427i | −0.326656 | − | 1.11249i | −0.945133 | − | 0.326686i | \(-0.894068\pi\) |
0.618477 | − | 0.785803i | \(-0.287750\pi\) | |||||||
\(294\) | 7.69073 | + | 8.87557i | 0.448532 | + | 0.517634i | ||||
\(295\) | 8.09356 | − | 9.84563i | 0.471226 | − | 0.573235i | ||||
\(296\) | −4.69189 | − | 10.2738i | −0.272711 | − | 0.597153i | ||||
\(297\) | 4.38459 | + | 0.630409i | 0.254420 | + | 0.0365800i | ||||
\(298\) | 10.4389i | 0.604708i | ||||||||
\(299\) | −24.6566 | − | 3.27151i | −1.42593 | − | 0.189196i | ||||
\(300\) | −3.60374 | + | 3.46598i | −0.208062 | + | 0.200109i | ||||
\(301\) | 2.98576 | − | 20.7664i | 0.172096 | − | 1.19696i | ||||
\(302\) | −1.36790 | + | 0.624700i | −0.0787139 | + | 0.0359474i | ||||
\(303\) | −3.36994 | + | 11.4770i | −0.193598 | + | 0.659335i | ||||
\(304\) | −3.01050 | − | 3.47430i | −0.172664 | − | 0.199265i | ||||
\(305\) | 0.567026 | − | 4.83085i | 0.0324678 | − | 0.276614i | ||||
\(306\) | −0.109396 | − | 0.0703044i | −0.00625374 | − | 0.00401903i | ||||
\(307\) | −14.0742 | − | 6.42745i | −0.803255 | − | 0.366834i | −0.0288971 | − | 0.999582i | \(-0.509200\pi\) |
−0.774358 | + | 0.632748i | \(0.781927\pi\) | |||||||
\(308\) | 14.4938 | + | 12.5589i | 0.825860 | + | 0.715612i | ||||
\(309\) | 10.2552 | − | 6.59060i | 0.583397 | − | 0.374926i | ||||
\(310\) | 4.76997 | − | 17.9567i | 0.270916 | − | 1.01987i | ||||
\(311\) | 2.03509 | + | 14.1544i | 0.115399 | + | 0.802621i | 0.962518 | + | 0.271217i | \(0.0874262\pi\) |
−0.847119 | + | 0.531404i | \(0.821665\pi\) | |||||||
\(312\) | 2.80393 | + | 4.36300i | 0.158741 | + | 0.247006i | ||||
\(313\) | 21.6139 | + | 18.7286i | 1.22169 | + | 1.05860i | 0.996440 | + | 0.0843014i | \(0.0268659\pi\) |
0.225252 | + | 0.974301i | \(0.427680\pi\) | |||||||
\(314\) | −5.90022 | + | 12.9197i | −0.332969 | + | 0.729100i | ||||
\(315\) | −5.44352 | − | 8.00552i | −0.306708 | − | 0.451060i | ||||
\(316\) | 10.0941 | − | 2.96390i | 0.567839 | − | 0.166733i | ||||
\(317\) | 20.1190 | − | 17.4332i | 1.12999 | − | 0.979145i | 0.130070 | − | 0.991505i | \(-0.458480\pi\) |
0.999924 | + | 0.0123598i | \(0.00393435\pi\) | |||||||
\(318\) | 1.70275 | − | 5.79904i | 0.0954855 | − | 0.325194i | ||||
\(319\) | 6.74582 | + | 14.7713i | 0.377694 | + | 0.827033i | ||||
\(320\) | −1.91184 | − | 1.15968i | −0.106875 | − | 0.0648280i | ||||
\(321\) | −15.6575 | −0.873917 | ||||||||
\(322\) | 3.17849 | + | 20.5185i | 0.177130 | + | 1.14345i | ||||
\(323\) | 0.597810i | 0.0332630i | ||||||||
\(324\) | 0.142315 | − | 0.989821i | 0.00790638 | − | 0.0549901i | ||||
\(325\) | −24.1154 | − | 9.53377i | −1.33768 | − | 0.528838i | ||||
\(326\) | 5.18993 | + | 1.52390i | 0.287444 | + | 0.0844011i | ||||
\(327\) | 6.58754 | − | 5.70814i | 0.364292 | − | 0.315661i | ||||
\(328\) | 2.18014 | + | 7.42487i | 0.120378 | + | 0.409970i | ||||
\(329\) | −34.4852 | − | 22.1623i | −1.90123 | − | 1.22185i | ||||
\(330\) | −6.67854 | − | 7.31486i | −0.367642 | − | 0.402670i | ||||
\(331\) | −2.88719 | + | 3.33200i | −0.158694 | + | 0.183143i | −0.829529 | − | 0.558464i | \(-0.811391\pi\) |
0.670834 | + | 0.741607i | \(0.265936\pi\) | |||||||
\(332\) | −1.75613 | − | 2.73260i | −0.0963804 | − | 0.149971i | ||||
\(333\) | −11.1795 | + | 1.60737i | −0.612633 | + | 0.0880834i | ||||
\(334\) | 1.03331 | + | 7.18682i | 0.0565402 | + | 0.393245i | ||||
\(335\) | 14.3963 | − | 2.45281i | 0.786551 | − | 0.134011i | ||||
\(336\) | 2.83518 | − | 3.27197i | 0.154672 | − | 0.178501i | ||||
\(337\) | 28.8079 | + | 13.1561i | 1.56927 | + | 0.716661i | 0.994798 | − | 0.101864i | \(-0.0324808\pi\) |
0.574470 | + | 0.818525i | \(0.305208\pi\) | |||||||
\(338\) | −7.51369 | + | 11.6915i | −0.408691 | + | 0.635936i | ||||
\(339\) | 14.2120 | − | 4.17303i | 0.771892 | − | 0.226648i | ||||
\(340\) | 0.0891349 | + | 0.276777i | 0.00483402 | + | 0.0150104i | ||||
\(341\) | 35.3152 | + | 10.3695i | 1.91242 | + | 0.561538i | ||||
\(342\) | −4.18173 | + | 1.90973i | −0.226122 | + | 0.103266i | ||||
\(343\) | 20.3301 | + | 2.92303i | 1.09772 | + | 0.157829i | ||||
\(344\) | −4.84588 | −0.261272 | ||||||||
\(345\) | −0.395032 | − | 10.7165i | −0.0212678 | − | 0.576958i | ||||
\(346\) | 3.36646 | 0.180982 | ||||||||
\(347\) | −28.1428 | − | 4.04632i | −1.51078 | − | 0.217218i | −0.663427 | − | 0.748241i | \(-0.730899\pi\) |
−0.847357 | + | 0.531023i | \(0.821808\pi\) | |||||||
\(348\) | 3.33462 | − | 1.52287i | 0.178754 | − | 0.0816344i | ||||
\(349\) | −18.4777 | − | 5.42555i | −0.989089 | − | 0.290423i | −0.253118 | − | 0.967435i | \(-0.581456\pi\) |
−0.735971 | + | 0.677013i | \(0.763274\pi\) | |||||||
\(350\) | −1.96466 | + | 21.5579i | −0.105016 | + | 1.15232i | ||||
\(351\) | 4.97622 | − | 1.46115i | 0.265611 | − | 0.0779905i | ||||
\(352\) | 2.39486 | − | 3.72648i | 0.127647 | − | 0.198622i | ||||
\(353\) | −21.1927 | − | 9.67839i | −1.12798 | − | 0.515129i | −0.238058 | − | 0.971251i | \(-0.576511\pi\) |
−0.889917 | + | 0.456122i | \(0.849238\pi\) | |||||||
\(354\) | 3.73262 | − | 4.30767i | 0.198386 | − | 0.228950i | ||||
\(355\) | −0.887458 | − | 5.20875i | −0.0471014 | − | 0.276452i | ||||
\(356\) | −1.60610 | − | 11.1707i | −0.0851234 | − | 0.592046i | ||||
\(357\) | −0.557266 | + | 0.0801227i | −0.0294936 | + | 0.00424054i | ||||
\(358\) | 4.21999 | + | 6.56643i | 0.223033 | + | 0.347047i | ||||
\(359\) | 2.58966 | − | 2.98863i | 0.136677 | − | 0.157734i | −0.683285 | − | 0.730152i | \(-0.739449\pi\) |
0.819962 | + | 0.572418i | \(0.193995\pi\) | |||||||
\(360\) | −1.65133 | + | 1.50768i | −0.0870328 | + | 0.0794618i | ||||
\(361\) | 1.79514 | + | 1.15367i | 0.0944813 | + | 0.0607194i | ||||
\(362\) | 3.15407 | + | 10.7418i | 0.165774 | + | 0.564575i | ||||
\(363\) | 6.51609 | − | 5.64623i | 0.342006 | − | 0.296350i | ||||
\(364\) | 21.5443 | + | 6.32597i | 1.12923 | + | 0.331571i | ||||
\(365\) | −0.0392367 | − | 1.51120i | −0.00205374 | − | 0.0790996i | ||||
\(366\) | 0.309571 | − | 2.15311i | 0.0161815 | − | 0.112545i | ||||
\(367\) | 11.7978i | 0.615841i | 0.951412 | + | 0.307921i | \(0.0996331\pi\) | ||||
−0.951412 | + | 0.307921i | \(0.900367\pi\) | |||||||
\(368\) | 4.58658 | − | 1.40116i | 0.239092 | − | 0.0730404i | ||||
\(369\) | 7.73833 | 0.402841 | ||||||||
\(370\) | 21.5933 | + | 13.0979i | 1.12258 | + | 0.680930i | ||||
\(371\) | −10.8700 | − | 23.8019i | −0.564341 | − | 1.23573i | ||||
\(372\) | 2.34091 | − | 7.97240i | 0.121370 | − | 0.413350i | ||||
\(373\) | −1.12204 | + | 0.972249i | −0.0580968 | + | 0.0503411i | −0.683425 | − | 0.730021i | \(-0.739510\pi\) |
0.625328 | + | 0.780362i | \(0.284965\pi\) | |||||||
\(374\) | −0.552697 | + | 0.162287i | −0.0285793 | + | 0.00839164i | ||||
\(375\) | 2.30577 | − | 10.9400i | 0.119069 | − | 0.564939i | ||||
\(376\) | −3.93329 | + | 8.61269i | −0.202844 | + | 0.444166i | ||||
\(377\) | 14.3687 | + | 12.4505i | 0.740024 | + | 0.641235i | ||||
\(378\) | −2.34067 | − | 3.64216i | −0.120391 | − | 0.187332i | ||||
\(379\) | 4.83760 | + | 33.6463i | 0.248491 | + | 1.72829i | 0.606943 | + | 0.794745i | \(0.292396\pi\) |
−0.358452 | + | 0.933548i | \(0.616695\pi\) | |||||||
\(380\) | 9.93502 | + | 2.63911i | 0.509656 | + | 0.135384i | ||||
\(381\) | 0.140547 | − | 0.0903243i | 0.00720046 | − | 0.00462745i | ||||
\(382\) | 3.90150 | + | 3.38067i | 0.199618 | + | 0.172970i | ||||
\(383\) | −7.87154 | − | 3.59481i | −0.402217 | − | 0.183686i | 0.204027 | − | 0.978965i | \(-0.434597\pi\) |
−0.606244 | + | 0.795279i | \(0.707324\pi\) | |||||||
\(384\) | −0.841254 | − | 0.540641i | −0.0429300 | − | 0.0275895i | ||||
\(385\) | −42.5910 | − | 4.99916i | −2.17064 | − | 0.254781i | ||||
\(386\) | −9.24120 | − | 10.6649i | −0.470365 | − | 0.542830i | ||||
\(387\) | −1.36524 | + | 4.64959i | −0.0693991 | + | 0.236352i | ||||
\(388\) | 6.13461 | − | 2.80158i | 0.311438 | − | 0.142229i | ||||
\(389\) | 0.163107 | − | 1.13444i | 0.00826986 | − | 0.0575181i | −0.985269 | − | 0.171014i | \(-0.945296\pi\) |
0.993538 | + | 0.113496i | \(0.0362048\pi\) | |||||||
\(390\) | −10.6704 | − | 4.54212i | −0.540318 | − | 0.229999i | ||||
\(391\) | −0.570074 | − | 0.252880i | −0.0288299 | − | 0.0127887i | ||||
\(392\) | − | 11.7441i | − | 0.593165i | ||||||
\(393\) | −13.4252 | − | 1.93025i | −0.677210 | − | 0.0973681i | ||||
\(394\) | −9.66807 | − | 21.1701i | −0.487071 | − | 1.06654i | ||||
\(395\) | −14.9383 | + | 18.1721i | −0.751629 | + | 0.914339i | ||||
\(396\) | −2.90082 | − | 3.34773i | −0.145772 | − | 0.168230i | ||||
\(397\) | −3.28363 | − | 11.1830i | −0.164801 | − | 0.561260i | −0.999937 | − | 0.0112170i | \(-0.996429\pi\) |
0.835136 | − | 0.550043i | \(-0.185389\pi\) | |||||||
\(398\) | −1.11233 | + | 1.73082i | −0.0557560 | + | 0.0867581i | ||||
\(399\) | −8.26806 | + | 18.1045i | −0.413921 | + | 0.906360i | ||||
\(400\) | 4.99326 | − | 0.259465i | 0.249663 | − | 0.0129733i | ||||
\(401\) | 4.53485 | − | 2.91437i | 0.226460 | − | 0.145537i | −0.422491 | − | 0.906367i | \(-0.638844\pi\) |
0.648951 | + | 0.760830i | \(0.275208\pi\) | |||||||
\(402\) | 6.46450 | − | 0.929455i | 0.322420 | − | 0.0463570i | ||||
\(403\) | 42.6542 | − | 6.13275i | 2.12476 | − | 0.305494i | ||||
\(404\) | 10.0627 | − | 6.46688i | 0.500636 | − | 0.321739i | ||||
\(405\) | 0.981376 | + | 2.00920i | 0.0487650 | + | 0.0998381i | ||||
\(406\) | 6.59318 | − | 14.4370i | 0.327214 | − | 0.716499i | ||||
\(407\) | −27.0487 | + | 42.0886i | −1.34075 | + | 2.08626i | ||||
\(408\) | 0.0366362 | + | 0.124771i | 0.00181376 | + | 0.00617711i | ||||
\(409\) | −10.9905 | − | 12.6838i | −0.543447 | − | 0.627171i | 0.415897 | − | 0.909412i | \(-0.363468\pi\) |
−0.959344 | + | 0.282240i | \(0.908922\pi\) | |||||||
\(410\) | −13.3668 | − | 10.9881i | −0.660137 | − | 0.542663i | ||||
\(411\) | 7.06342 | + | 15.4667i | 0.348413 | + | 0.762918i | ||||
\(412\) | −12.0663 | − | 1.73487i | −0.594463 | − | 0.0854708i | ||||
\(413\) | − | 24.6772i | − | 1.21429i | ||||||
\(414\) | −0.0522116 | − | 4.79555i | −0.00256606 | − | 0.235688i | ||||
\(415\) | 6.68302 | + | 2.84478i | 0.328056 | + | 0.139645i | ||||
\(416\) | 0.738088 | − | 5.13352i | 0.0361877 | − | 0.251691i | ||||
\(417\) | 1.27366 | − | 0.581662i | 0.0623715 | − | 0.0284841i | ||||
\(418\) | −5.73718 | + | 19.5391i | −0.280615 | + | 0.955686i | ||||
\(419\) | −3.01980 | − | 3.48503i | −0.147527 | − | 0.170255i | 0.677176 | − | 0.735821i | \(-0.263203\pi\) |
−0.824703 | + | 0.565566i | \(0.808658\pi\) | |||||||
\(420\) | −1.12856 | + | 9.61492i | −0.0550682 | + | 0.469160i | ||||
\(421\) | 26.0890 | + | 16.7664i | 1.27150 | + | 0.817144i | 0.989815 | − | 0.142363i | \(-0.0454700\pi\) |
0.281686 | + | 0.959507i | \(0.409106\pi\) | |||||||
\(422\) | −7.81630 | − | 3.56959i | −0.380492 | − | 0.173765i | ||||
\(423\) | 7.15569 | + | 6.20044i | 0.347921 | + | 0.301476i | ||||
\(424\) | −5.08442 | + | 3.26756i | −0.246921 | + | 0.158687i | ||||
\(425\) | −0.512818 | − | 0.399714i | −0.0248753 | − | 0.0193890i | ||||
\(426\) | −0.336289 | − | 2.33894i | −0.0162932 | − | 0.113322i | ||||
\(427\) | −5.09156 | − | 7.92262i | −0.246398 | − | 0.383402i | ||||
\(428\) | 11.8332 | + | 10.2535i | 0.571977 | + | 0.495621i | ||||
\(429\) | 9.54360 | − | 20.8976i | 0.460769 | − | 1.00894i | ||||
\(430\) | 8.96046 | − | 6.09285i | 0.432112 | − | 0.293823i | ||||
\(431\) | 2.18634 | − | 0.641967i | 0.105312 | − | 0.0309225i | −0.228652 | − | 0.973508i | \(-0.573432\pi\) |
0.333964 | + | 0.942586i | \(0.391614\pi\) | |||||||
\(432\) | −0.755750 | + | 0.654861i | −0.0363610 | + | 0.0315070i | ||||
\(433\) | 11.1407 | − | 37.9416i | 0.535386 | − | 1.82336i | −0.0314192 | − | 0.999506i | \(-0.510003\pi\) |
0.566805 | − | 0.823852i | \(-0.308179\pi\) | |||||||
\(434\) | −14.9438 | − | 32.7224i | −0.717326 | − | 1.57072i | ||||
\(435\) | −4.25126 | + | 7.00863i | −0.203833 | + | 0.336038i | ||||
\(436\) | −8.71657 | −0.417448 | ||||||||
\(437\) | −18.4164 | + | 12.1208i | −0.880977 | + | 0.579818i | ||||
\(438\) | − | 0.676055i | − | 0.0323032i | ||||||
\(439\) | 4.84726 | − | 33.7134i | 0.231347 | − | 1.60905i | −0.460939 | − | 0.887432i | \(-0.652487\pi\) |
0.692286 | − | 0.721623i | \(-0.256604\pi\) | |||||||
\(440\) | 0.257088 | + | 9.90172i | 0.0122562 | + | 0.472046i | ||||
\(441\) | −11.2683 | − | 3.30869i | −0.536588 | − | 0.157556i | ||||
\(442\) | −0.509694 | + | 0.441652i | −0.0242437 | + | 0.0210073i | ||||
\(443\) | −4.12157 | − | 14.0368i | −0.195821 | − | 0.666907i | −0.997597 | − | 0.0692816i | \(-0.977929\pi\) |
0.801776 | − | 0.597625i | \(-0.203889\pi\) | |||||||
\(444\) | 9.50151 | + | 6.10625i | 0.450922 | + | 0.289790i | ||||
\(445\) | 17.0151 | + | 18.6362i | 0.806591 | + | 0.883442i | ||||
\(446\) | −0.0905778 | + | 0.104532i | −0.00428898 | + | 0.00494975i | ||||
\(447\) | −5.64369 | − | 8.78175i | −0.266937 | − | 0.415362i | ||||
\(448\) | −4.28537 | + | 0.616144i | −0.202465 | + | 0.0291101i | ||||
\(449\) | 1.11520 | + | 7.75640i | 0.0526296 | + | 0.366047i | 0.999068 | + | 0.0431628i | \(0.0137434\pi\) |
−0.946438 | + | 0.322884i | \(0.895347\pi\) | |||||||
\(450\) | 1.15781 | − | 4.86410i | 0.0545797 | − | 0.229296i | ||||
\(451\) | 22.4475 | − | 25.9058i | 1.05701 | − | 1.21986i | ||||
\(452\) | −13.4735 | − | 6.15314i | −0.633740 | − | 0.289419i | ||||
\(453\) | 0.813014 | − | 1.26507i | 0.0381987 | − | 0.0594384i | ||||
\(454\) | 22.0710 | − | 6.48062i | 1.03584 | − | 0.304151i | ||||
\(455\) | −47.7911 | + | 15.3909i | −2.24048 | + | 0.721537i | ||||
\(456\) | 4.41094 | + | 1.29517i | 0.206561 | + | 0.0606519i | ||||
\(457\) | −26.9106 | + | 12.2897i | −1.25883 | + | 0.574887i | −0.929323 | − | 0.369268i | \(-0.879609\pi\) |
−0.329503 | + | 0.944154i | \(0.606881\pi\) | |||||||
\(458\) | −24.4879 | − | 3.52082i | −1.14424 | − | 0.164517i | ||||
\(459\) | 0.130039 | 0.00606970 | ||||||||
\(460\) | −6.71929 | + | 8.35770i | −0.313288 | + | 0.389680i | ||||
\(461\) | −5.53416 | −0.257752 | −0.128876 | − | 0.991661i | \(-0.541137\pi\) | ||||
−0.128876 | + | 0.991661i | \(0.541137\pi\) | |||||||
\(462\) | −18.9828 | − | 2.72932i | −0.883161 | − | 0.126979i | ||||
\(463\) | 13.2473 | − | 6.04986i | 0.615656 | − | 0.281161i | −0.0830772 | − | 0.996543i | \(-0.526475\pi\) |
0.698733 | + | 0.715382i | \(0.253748\pi\) | |||||||
\(464\) | −3.51741 | − | 1.03280i | −0.163291 | − | 0.0479467i | ||||
\(465\) | 5.69537 | + | 17.6850i | 0.264116 | + | 0.820121i | ||||
\(466\) | 2.16193 | − | 0.634800i | 0.100149 | − | 0.0294065i | ||||
\(467\) | 9.90652 | − | 15.4148i | 0.458419 | − | 0.713314i | −0.532698 | − | 0.846305i | \(-0.678822\pi\) |
0.991117 | + | 0.132991i | \(0.0424582\pi\) | |||||||
\(468\) | −4.71763 | − | 2.15447i | −0.218072 | − | 0.0995904i | ||||
\(469\) | 18.5165 | − | 21.3692i | 0.855013 | − | 0.986738i | ||||
\(470\) | −3.55598 | − | 20.8711i | −0.164025 | − | 0.962710i | ||||
\(471\) | −2.02132 | − | 14.0586i | −0.0931377 | − | 0.647787i | ||||
\(472\) | −5.64185 | + | 0.811175i | −0.259687 | + | 0.0373374i | ||||
\(473\) | 11.6052 | + | 18.0581i | 0.533608 | + | 0.830311i | ||||
\(474\) | −6.88931 | + | 7.95069i | −0.316437 | + | 0.365187i | ||||
\(475\) | −21.6890 | + | 7.61161i | −0.995157 | + | 0.349245i | ||||
\(476\) | 0.473622 | + | 0.304379i | 0.0217085 | + | 0.0139512i | ||||
\(477\) | 1.70275 | + | 5.79904i | 0.0779636 | + | 0.265520i | ||||
\(478\) | 1.81268 | − | 1.57070i | 0.0829100 | − | 0.0718420i | ||||
\(479\) | 0.555061 | + | 0.162981i | 0.0253614 | + | 0.00744677i | 0.294389 | − | 0.955686i | \(-0.404884\pi\) |
−0.269027 | + | 0.963133i | \(0.586702\pi\) | |||||||
\(480\) | 2.23531 | − | 0.0580378i | 0.102028 | − | 0.00264905i | ||||
\(481\) | −8.33631 | + | 57.9803i | −0.380103 | + | 2.64368i | ||||
\(482\) | − | 6.13362i | − | 0.279379i | ||||||
\(483\) | −13.7671 | − | 15.5429i | −0.626424 | − | 0.707225i | ||||
\(484\) | −8.62203 | −0.391910 | ||||||||
\(485\) | −7.82094 | + | 12.8936i | −0.355130 | + | 0.585468i | ||||
\(486\) | 0.415415 | + | 0.909632i | 0.0188436 | + | 0.0412617i | ||||
\(487\) | −2.53374 | + | 8.62912i | −0.114815 | + | 0.391023i | −0.996770 | − | 0.0803104i | \(-0.974409\pi\) |
0.881955 | + | 0.471333i | \(0.156227\pi\) | |||||||
\(488\) | −1.64395 | + | 1.42449i | −0.0744180 | + | 0.0644835i | ||||
\(489\) | −5.18993 | + | 1.52390i | −0.234697 | + | 0.0689132i | ||||
\(490\) | 14.7661 | + | 21.7158i | 0.667066 | + | 0.981021i | ||||
\(491\) | −7.68195 | + | 16.8211i | −0.346682 | + | 0.759127i | 0.653316 | + | 0.757085i | \(0.273377\pi\) |
−0.999998 | + | 0.00204183i | \(0.999350\pi\) | |||||||
\(492\) | −5.84824 | − | 5.06753i | −0.263659 | − | 0.228462i | ||||
\(493\) | 0.257729 | + | 0.401034i | 0.0116075 | + | 0.0180617i | ||||
\(494\) | 3.39311 | + | 23.5996i | 0.152663 | + | 1.06180i | ||||
\(495\) | 9.57306 | + | 2.54296i | 0.430277 | + | 0.114298i | ||||
\(496\) | −6.98995 | + | 4.49217i | −0.313858 | + | 0.201704i | ||||
\(497\) | −7.73164 | − | 6.69951i | −0.346812 | − | 0.300514i | ||||
\(498\) | 2.95471 | + | 1.34937i | 0.132404 | + | 0.0604667i | ||||
\(499\) | 5.44176 | + | 3.49721i | 0.243607 | + | 0.156557i | 0.656747 | − | 0.754111i | \(-0.271932\pi\) |
−0.413141 | + | 0.910667i | \(0.635568\pi\) | |||||||
\(500\) | −8.90675 | + | 6.75794i | −0.398322 | + | 0.302224i | ||||
\(501\) | −4.75476 | − | 5.48729i | −0.212427 | − | 0.245154i | ||||
\(502\) | 1.32498 | − | 4.51246i | 0.0591367 | − | 0.201401i | ||||
\(503\) | −8.33024 | + | 3.80429i | −0.371427 | + | 0.169625i | −0.592379 | − | 0.805660i | \(-0.701811\pi\) |
0.220952 | + | 0.975285i | \(0.429084\pi\) | |||||||
\(504\) | −0.616144 | + | 4.28537i | −0.0274452 | + | 0.190886i | ||||
\(505\) | −10.4758 | + | 24.6099i | −0.466166 | + | 1.09513i | ||||
\(506\) | −16.2056 | − | 13.7362i | −0.720428 | − | 0.610650i | ||||
\(507\) | − | 13.8978i | − | 0.617221i | ||||||
\(508\) | −0.165368 | − | 0.0237764i | −0.00733704 | − | 0.00105491i | ||||
\(509\) | −6.14887 | − | 13.4641i | −0.272544 | − | 0.596787i | 0.723025 | − | 0.690822i | \(-0.242751\pi\) |
−0.995569 | + | 0.0940342i | \(0.970024\pi\) | |||||||
\(510\) | −0.224622 | − | 0.184650i | −0.00994643 | − | 0.00817643i | ||||
\(511\) | −1.91674 | − | 2.21204i | −0.0847916 | − | 0.0978547i | ||||
\(512\) | 0.281733 | + | 0.959493i | 0.0124509 | + | 0.0424040i | ||||
\(513\) | 2.48541 | − | 3.86738i | 0.109734 | − | 0.170749i | ||||
\(514\) | 10.8836 | − | 23.8318i | 0.480056 | − | 1.05118i | ||||
\(515\) | 24.4929 | − | 11.9633i | 1.07929 | − | 0.527167i | ||||
\(516\) | 4.07661 | − | 2.61988i | 0.179463 | − | 0.115334i | ||||
\(517\) | 41.5147 | − | 5.96892i | 1.82582 | − | 0.262513i | ||||
\(518\) | 48.4010 | − | 6.95902i | 2.12662 | − | 0.305762i | ||||
\(519\) | −2.83205 | + | 1.82005i | −0.124313 | + | 0.0798912i | ||||
\(520\) | 5.08972 | + | 10.4203i | 0.223199 | + | 0.456962i | ||||
\(521\) | −11.9923 | + | 26.2594i | −0.525390 | + | 1.15044i | 0.441968 | + | 0.897031i | \(0.354280\pi\) |
−0.967358 | + | 0.253413i | \(0.918447\pi\) | |||||||
\(522\) | −1.98194 | + | 3.08395i | −0.0867470 | + | 0.134981i | ||||
\(523\) | 1.62971 | + | 5.55030i | 0.0712624 | + | 0.242697i | 0.987420 | − | 0.158122i | \(-0.0505438\pi\) |
−0.916157 | + | 0.400819i | \(0.868726\pi\) | |||||||
\(524\) | 8.88202 | + | 10.2504i | 0.388013 | + | 0.447790i | ||||
\(525\) | −10.0023 | − | 19.1978i | −0.436536 | − | 0.837861i | ||||
\(526\) | 9.61528 | + | 21.0545i | 0.419246 | + | 0.918021i | ||||
\(527\) | 1.06949 | + | 0.153770i | 0.0465878 | + | 0.00669832i | ||||
\(528\) | 4.42968i | 0.192777i | ||||||||
\(529\) | −3.76813 | − | 22.6892i | −0.163832 | − | 0.986488i | ||||
\(530\) | 5.29315 | − | 12.4348i | 0.229920 | − | 0.540132i | ||||
\(531\) | −0.811175 | + | 5.64185i | −0.0352020 | + | 0.244835i | ||||
\(532\) | 18.1045 | − | 8.26806i | 0.784931 | − | 0.358466i | ||||
\(533\) | 11.3069 | − | 38.5076i | 0.489755 | − | 1.66795i | ||||
\(534\) | 7.39048 | + | 8.52907i | 0.319817 | + | 0.369089i | ||||
\(535\) | −34.7725 | − | 4.08146i | −1.50335 | − | 0.176457i | ||||
\(536\) | −5.49421 | − | 3.53091i | −0.237314 | − | 0.152512i | ||||
\(537\) | −7.10016 | − | 3.24253i | −0.306394 | − | 0.139926i | ||||
\(538\) | 8.07017 | + | 6.99285i | 0.347930 | + | 0.301483i | ||||
\(539\) | −43.7640 | + | 28.1254i | −1.88505 | + | 1.21145i | ||||
\(540\) | 0.574074 | − | 2.16112i | 0.0247042 | − | 0.0929998i | ||||
\(541\) | 1.10210 | + | 7.66528i | 0.0473830 | + | 0.329556i | 0.999701 | + | 0.0244491i | \(0.00778315\pi\) |
−0.952318 | + | 0.305107i | \(0.901308\pi\) | |||||||
\(542\) | −12.9745 | − | 20.1888i | −0.557304 | − | 0.867181i | ||||
\(543\) | −8.46081 | − | 7.33134i | −0.363088 | − | 0.314618i | ||||
\(544\) | 0.0540201 | − | 0.118288i | 0.00231609 | − | 0.00507154i | ||||
\(545\) | 16.1177 | − | 10.9596i | 0.690407 | − | 0.469457i | ||||
\(546\) | −21.5443 | + | 6.32597i | −0.922010 | + | 0.270726i | ||||
\(547\) | 33.9771 | − | 29.4414i | 1.45276 | − | 1.25882i | 0.545590 | − | 0.838052i | \(-0.316306\pi\) |
0.907168 | − | 0.420769i | \(-0.138240\pi\) | |||||||
\(548\) | 4.79038 | − | 16.3145i | 0.204635 | − | 0.696923i | ||||
\(549\) | 0.903633 | + | 1.97868i | 0.0385661 | + | 0.0844480i | ||||
\(550\) | −12.9251 | − | 17.9859i | −0.551127 | − | 0.766922i | ||||
\(551\) | 16.8527 | 0.717951 | ||||||||
\(552\) | −3.10096 | + | 3.65842i | −0.131985 | + | 0.155713i | ||||
\(553\) | 45.5469i | 1.93685i | ||||||||
\(554\) | −2.98891 | + | 20.7883i | −0.126987 | + | 0.883212i | ||||
\(555\) | −25.2467 | + | 0.655506i | −1.07166 | + | 0.0278247i | ||||
\(556\) | −1.34348 | − | 0.394480i | −0.0569761 | − | 0.0167297i | ||||
\(557\) | 4.92060 | − | 4.26372i | 0.208492 | − | 0.180660i | −0.544355 | − | 0.838855i | \(-0.683225\pi\) |
0.752847 | + | 0.658195i | \(0.228680\pi\) | |||||||
\(558\) | 2.34091 | + | 7.97240i | 0.0990985 | + | 0.337499i | ||||
\(559\) | 21.1425 | + | 13.5875i | 0.894235 | + | 0.574690i | ||||
\(560\) | 7.14934 | − | 6.52742i | 0.302115 | − | 0.275834i | ||||
\(561\) | 0.377220 | − | 0.435335i | 0.0159262 | − | 0.0183798i | ||||
\(562\) | −8.61128 | − | 13.3994i | −0.363245 | − | 0.565220i | ||||
\(563\) | −22.1368 | + | 3.18279i | −0.932953 | + | 0.134138i | −0.591996 | − | 0.805941i | \(-0.701660\pi\) |
−0.340957 | + | 0.940079i | \(0.610751\pi\) | |||||||
\(564\) | −1.34748 | − | 9.37195i | −0.0567393 | − | 0.394630i | ||||
\(565\) | 32.6502 | − | 5.56289i | 1.37360 | − | 0.234032i | ||||
\(566\) | −20.7919 | + | 23.9951i | −0.873947 | + | 1.00859i | ||||
\(567\) | 3.93820 | + | 1.79852i | 0.165389 | + | 0.0755305i | ||||
\(568\) | −1.27753 | + | 1.98787i | −0.0536039 | + | 0.0834094i | ||||
\(569\) | −20.4960 | + | 6.01817i | −0.859237 | + | 0.252295i | −0.681531 | − | 0.731789i | \(-0.738686\pi\) |
−0.177705 | + | 0.984084i | \(0.556867\pi\) | |||||||
\(570\) | −9.78468 | + | 3.15111i | −0.409835 | + | 0.131986i | ||||
\(571\) | −34.9176 | − | 10.2527i | −1.46126 | − | 0.429064i | −0.548011 | − | 0.836471i | \(-0.684615\pi\) |
−0.913247 | + | 0.407407i | \(0.866433\pi\) | |||||||
\(572\) | −20.8976 | + | 9.54360i | −0.873771 | + | 0.399038i | ||||
\(573\) | −5.10987 | − | 0.734689i | −0.213468 | − | 0.0306921i | ||||
\(574\) | −33.5026 | −1.39837 | ||||||||
\(575\) | 1.91620 | − | 23.9025i | 0.0799109 | − | 0.996802i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 1.02641 | + | 0.147576i | 0.0427302 | + | 0.00614367i | 0.163647 | − | 0.986519i | \(-0.447674\pi\) |
−0.120917 | + | 0.992663i | \(0.538583\pi\) | |||||||
\(578\) | 15.4484 | − | 7.05503i | 0.642567 | − | 0.293451i | ||||
\(579\) | 13.5401 | + | 3.97573i | 0.562706 | + | 0.165226i | ||||
\(580\) | 7.80257 | − | 2.51278i | 0.323984 | − | 0.104338i | ||||
\(581\) | 13.4934 | − | 3.96203i | 0.559802 | − | 0.164373i | ||||
\(582\) | −3.64611 | + | 5.67346i | −0.151136 | + | 0.235173i | ||||
\(583\) | 24.3530 | + | 11.1216i | 1.00860 | + | 0.460611i | ||||
\(584\) | −0.442722 | + | 0.510929i | −0.0183200 | + | 0.0211424i | ||||
\(585\) | 11.4322 | − | 1.94780i | 0.472663 | − | 0.0805315i | ||||
\(586\) | −2.82448 | − | 19.6447i | −0.116678 | − | 0.811513i | ||||
\(587\) | 36.0409 | − | 5.18190i | 1.48757 | − | 0.213880i | 0.649883 | − | 0.760035i | \(-0.274818\pi\) |
0.837684 | + | 0.546155i | \(0.183909\pi\) | |||||||
\(588\) | 6.34932 | + | 9.87974i | 0.261842 | + | 0.407434i | ||||
\(589\) | 25.0142 | − | 28.8679i | 1.03069 | − | 1.18948i | ||||
\(590\) | 9.41236 | − | 8.59358i | 0.387501 | − | 0.353792i | ||||
\(591\) | 19.5787 | + | 12.5825i | 0.805362 | + | 0.517575i | ||||
\(592\) | −3.18202 | − | 10.8370i | −0.130780 | − | 0.445396i | ||||
\(593\) | −13.7923 | + | 11.9511i | −0.566383 | + | 0.490774i | −0.890339 | − | 0.455298i | \(-0.849533\pi\) |
0.323956 | + | 0.946072i | \(0.394987\pi\) | |||||||
\(594\) | 4.25024 | + | 1.24798i | 0.174390 | + | 0.0512054i | ||||
\(595\) | −1.25847 | + | 0.0326750i | −0.0515924 | + | 0.00133955i | ||||
\(596\) | −1.48561 | + | 10.3326i | −0.0608529 | + | 0.423241i | ||||
\(597\) | − | 2.05743i | − | 0.0842049i | ||||||
\(598\) | −23.9400 | − | 6.74720i | −0.978979 | − | 0.275914i | ||||
\(599\) | −34.3827 | −1.40484 | −0.702419 | − | 0.711763i | \(-0.747897\pi\) | ||||
−0.702419 | + | 0.711763i | \(0.747897\pi\) | |||||||
\(600\) | −4.06032 | + | 2.91784i | −0.165762 | + | 0.119120i | ||||
\(601\) | 7.34116 | + | 16.0749i | 0.299452 | + | 0.655708i | 0.998220 | − | 0.0596400i | \(-0.0189953\pi\) |
−0.698768 | + | 0.715348i | \(0.746268\pi\) | |||||||
\(602\) | 5.91073 | − | 20.1301i | 0.240904 | − | 0.820442i | ||||
\(603\) | −4.93578 | + | 4.27688i | −0.201001 | + | 0.174168i | ||||
\(604\) | −1.44288 | + | 0.423668i | −0.0587101 | + | 0.0172388i | ||||
\(605\) | 15.9429 | − | 10.8407i | 0.648171 | − | 0.440737i | ||||
\(606\) | −4.96899 | + | 10.8806i | −0.201851 | + | 0.441993i | ||||
\(607\) | −29.6813 | − | 25.7190i | −1.20473 | − | 1.04390i | −0.997850 | − | 0.0655361i | \(-0.979124\pi\) |
−0.206878 | − | 0.978367i | \(-0.566330\pi\) | |||||||
\(608\) | −2.48541 | − | 3.86738i | −0.100797 | − | 0.156843i | ||||
\(609\) | 2.25872 | + | 15.7098i | 0.0915280 | + | 0.636592i | ||||
\(610\) | 1.24876 | − | 4.70098i | 0.0505607 | − | 0.190337i | ||||
\(611\) | 41.3103 | − | 26.5485i | 1.67124 | − | 1.07404i | ||||
\(612\) | −0.0982769 | − | 0.0851574i | −0.00397261 | − | 0.00344228i | ||||
\(613\) | 16.5249 | + | 7.54666i | 0.667434 | + | 0.304807i | 0.720166 | − | 0.693802i | \(-0.244066\pi\) |
−0.0527321 | + | 0.998609i | \(0.516793\pi\) | |||||||
\(614\) | −13.0162 | − | 8.36499i | −0.525290 | − | 0.337584i | ||||
\(615\) | 17.1854 | + | 2.01716i | 0.692984 | + | 0.0813398i | ||||
\(616\) | 12.5589 | + | 14.4938i | 0.506014 | + | 0.583971i | ||||
\(617\) | −1.17812 | + | 4.01232i | −0.0474295 | + | 0.161530i | −0.979803 | − | 0.199968i | \(-0.935916\pi\) |
0.932373 | + | 0.361498i | \(0.117734\pi\) | |||||||
\(618\) | 11.0887 | − | 5.06405i | 0.446054 | − | 0.203706i | ||||
\(619\) | −3.71707 | + | 25.8528i | −0.149402 | + | 1.03911i | 0.767800 | + | 0.640690i | \(0.221351\pi\) |
−0.917202 | + | 0.398423i | \(0.869558\pi\) | |||||||
\(620\) | 7.27692 | − | 17.0951i | 0.292248 | − | 0.686555i | ||||
\(621\) | 2.63659 | + | 4.00604i | 0.105803 | + | 0.160757i | ||||
\(622\) | 14.2999i | 0.573375i | ||||||||
\(623\) | 48.3629 | + | 6.95354i | 1.93762 | + | 0.278588i | ||||
\(624\) | 2.15447 | + | 4.71763i | 0.0862478 | + | 0.188856i | ||||
\(625\) | 7.97244 | − | 23.6947i | 0.318898 | − | 0.947789i | ||||
\(626\) | 18.7286 | + | 21.6139i | 0.748545 | + | 0.863867i | ||||
\(627\) | −5.73718 | − | 19.5391i | −0.229121 | − | 0.780315i | ||||
\(628\) | −7.67882 | + | 11.9485i | −0.306418 | + | 0.476796i | ||||
\(629\) | −0.610129 | + | 1.33600i | −0.0243274 | + | 0.0532696i | ||||
\(630\) | −4.24881 | − | 8.69873i | −0.169277 | − | 0.346566i | ||||
\(631\) | 14.2367 | − | 9.14936i | 0.566754 | − | 0.364230i | −0.225668 | − | 0.974204i | \(-0.572456\pi\) |
0.792422 | + | 0.609974i | \(0.208820\pi\) | |||||||
\(632\) | 10.4132 | − | 1.49719i | 0.414214 | − | 0.0595550i | ||||
\(633\) | 8.50536 | − | 1.22289i | 0.338058 | − | 0.0486053i | ||||
\(634\) | 22.3952 | − | 14.3925i | 0.889426 | − | 0.571600i | ||||
\(635\) | 0.335675 | − | 0.163957i | 0.0133209 | − | 0.00650645i | ||||
\(636\) | 2.51071 | − | 5.49769i | 0.0995561 | − | 0.217997i | ||||
\(637\) | −32.9295 | + | 51.2393i | −1.30472 | + | 2.03018i | ||||
\(638\) | 4.57499 | + | 15.5810i | 0.181125 | + | 0.616857i | ||||
\(639\) | 1.54743 | + | 1.78583i | 0.0612154 | + | 0.0706463i | ||||
\(640\) | −1.72734 | − | 1.41996i | −0.0682793 | − | 0.0561288i | ||||
\(641\) | 6.14154 | + | 13.4481i | 0.242576 | + | 0.531168i | 0.991286 | − | 0.131730i | \(-0.0420533\pi\) |
−0.748709 | + | 0.662899i | \(0.769326\pi\) | |||||||
\(642\) | −15.4981 | − | 2.22830i | −0.611663 | − | 0.0879438i | ||||
\(643\) | − | 42.2702i | − | 1.66697i | −0.552539 | − | 0.833487i | \(-0.686341\pi\) | ||
0.552539 | − | 0.833487i | \(-0.313659\pi\) | |||||||
\(644\) | 0.226047 | + | 20.7620i | 0.00890750 | + | 0.818139i | ||||
\(645\) | −4.24397 | + | 9.97002i | −0.167106 | + | 0.392569i | ||||
\(646\) | −0.0850772 | + | 0.591725i | −0.00334732 | + | 0.0232811i | ||||
\(647\) | −6.49002 | + | 2.96389i | −0.255149 | + | 0.116523i | −0.538884 | − | 0.842380i | \(-0.681154\pi\) |
0.283735 | + | 0.958903i | \(0.408427\pi\) | |||||||
\(648\) | 0.281733 | − | 0.959493i | 0.0110675 | − | 0.0376924i | ||||
\(649\) | 16.5343 | + | 19.0816i | 0.649027 | + | 0.749017i | ||||
\(650\) | −22.5131 | − | 12.8687i | −0.883037 | − | 0.504752i | ||||
\(651\) | 30.2626 | + | 19.4486i | 1.18608 | + | 0.762250i | ||||
\(652\) | 4.92023 | + | 2.24699i | 0.192691 | + | 0.0879991i | ||||
\(653\) | 13.6017 | + | 11.7860i | 0.532277 | + | 0.461220i | 0.879051 | − | 0.476728i | \(-0.158177\pi\) |
−0.346774 | + | 0.937949i | \(0.612723\pi\) | |||||||
\(654\) | 7.33284 | − | 4.71253i | 0.286737 | − | 0.184275i | ||||
\(655\) | −29.3117 | − | 7.78629i | −1.14530 | − | 0.304236i | ||||
\(656\) | 1.10128 | + | 7.65956i | 0.0429977 | + | 0.299056i | ||||
\(657\) | 0.365503 | + | 0.568734i | 0.0142596 | + | 0.0221884i | ||||
\(658\) | −30.9801 | − | 26.8444i | −1.20773 | − | 1.04650i | ||||
\(659\) | 11.7345 | − | 25.6950i | 0.457112 | − | 1.00094i | −0.531024 | − | 0.847357i | \(-0.678193\pi\) |
0.988136 | − | 0.153580i | \(-0.0490802\pi\) | |||||||
\(660\) | −5.56955 | − | 8.19086i | −0.216794 | − | 0.318829i | ||||
\(661\) | −1.78876 | + | 0.525227i | −0.0695747 | + | 0.0204290i | −0.316335 | − | 0.948648i | \(-0.602452\pi\) |
0.246760 | + | 0.969077i | \(0.420634\pi\) | |||||||
\(662\) | −3.33200 | + | 2.88719i | −0.129502 | + | 0.112214i | ||||
\(663\) | 0.190007 | − | 0.647103i | 0.00737924 | − | 0.0251314i | ||||
\(664\) | −1.34937 | − | 2.95471i | −0.0523657 | − | 0.114665i | ||||
\(665\) | −23.0812 | + | 38.0517i | −0.895052 | + | 1.47558i | ||||
\(666\) | −11.2945 | −0.437652 | ||||||||
\(667\) | −7.12889 | + | 16.0708i | −0.276032 | + | 0.622266i | ||||
\(668\) | 7.26073i | 0.280926i | ||||||||
\(669\) | 0.0196844 | − | 0.136908i | 0.000761045 | − | 0.00529318i | ||||
\(670\) | 14.5988 | − | 0.379043i | 0.564001 | − | 0.0146437i | ||||
\(671\) | 9.24535 | + | 2.71468i | 0.356913 | + | 0.104799i | ||||
\(672\) | 3.27197 | − | 2.83518i | 0.126219 | − | 0.109370i | ||||
\(673\) | 7.40395 | + | 25.2155i | 0.285401 | + | 0.971987i | 0.970008 | + | 0.243074i | \(0.0781558\pi\) |
−0.684607 | + | 0.728913i | \(0.740026\pi\) | |||||||
\(674\) | 26.6424 | + | 17.1220i | 1.02623 | + | 0.659516i | ||||
\(675\) | 1.65572 | + | 4.71790i | 0.0637287 | + | 0.181592i | ||||
\(676\) | −9.10110 | + | 10.5032i | −0.350042 | + | 0.403970i | ||||
\(677\) | 1.41379 | + | 2.19989i | 0.0543362 | + | 0.0845488i | 0.867359 | − | 0.497683i | \(-0.165816\pi\) |
−0.813023 | + | 0.582232i | \(0.802179\pi\) | |||||||
\(678\) | 14.6613 | − | 2.10797i | 0.563062 | − | 0.0809561i | ||||
\(679\) | 4.15531 | + | 28.9008i | 0.159466 | + | 1.10911i | ||||
\(680\) | 0.0488381 | + | 0.286645i | 0.00187286 | + | 0.0109923i | ||||
\(681\) | −15.0636 | + | 17.3843i | −0.577238 | + | 0.666168i | ||||
\(682\) | 33.4800 | + | 15.2898i | 1.28201 | + | 0.585476i | ||||
\(683\) | −20.7875 | + | 32.3459i | −0.795410 | + | 1.23768i | 0.172158 | + | 0.985069i | \(0.444926\pi\) |
−0.967568 | + | 0.252612i | \(0.918710\pi\) | |||||||
\(684\) | −4.41094 | + | 1.29517i | −0.168657 | + | 0.0495221i | ||||
\(685\) | 11.6549 | + | 36.1901i | 0.445310 | + | 1.38275i | ||||
\(686\) | 19.7072 | + | 5.78655i | 0.752424 | + | 0.220932i | ||||
\(687\) | 22.5040 | − | 10.2772i | 0.858582 | − | 0.392101i | ||||
\(688\) | −4.79655 | − | 0.689640i | −0.182867 | − | 0.0262923i | ||||
\(689\) | 31.3453 | 1.19416 | ||||||||
\(690\) | 1.13411 | − | 10.6637i | 0.0431748 | − | 0.405959i | ||||
\(691\) | −9.12064 | −0.346966 | −0.173483 | − | 0.984837i | \(-0.555502\pi\) | ||||
−0.173483 | + | 0.984837i | \(0.555502\pi\) | |||||||
\(692\) | 3.33220 | + | 0.479098i | 0.126671 | + | 0.0182126i | ||||
\(693\) | 17.4449 | − | 7.96684i | 0.662679 | − | 0.302635i | ||||
\(694\) | −27.2805 | − | 8.01027i | −1.03555 | − | 0.304066i | ||||
\(695\) | 2.98020 | − | 0.959760i | 0.113045 | − | 0.0364058i | ||||
\(696\) | 3.51741 | − | 1.03280i | 0.133327 | − | 0.0391483i | ||||
\(697\) | 0.544038 | − | 0.846540i | 0.0206069 | − | 0.0320650i | ||||
\(698\) | −17.5175 | − | 7.99997i | −0.663047 | − | 0.302803i | ||||
\(699\) | −1.47553 | + | 1.70285i | −0.0558097 | + | 0.0644079i | ||||
\(700\) | −5.01267 | + | 21.0588i | −0.189461 | + | 0.795949i | ||||
\(701\) | −0.761652 | − | 5.29741i | −0.0287672 | − | 0.200080i | 0.970369 | − | 0.241626i | \(-0.0776808\pi\) |
−0.999137 | + | 0.0415459i | \(0.986772\pi\) | |||||||
\(702\) | 5.13352 | − | 0.738088i | 0.193752 | − | 0.0278573i | ||||
\(703\) | 28.0714 | + | 43.6800i | 1.05873 | + | 1.64742i | ||||
\(704\) | 2.90082 | − | 3.34773i | 0.109329 | − | 0.126172i | ||||
\(705\) | 14.2752 | + | 15.6353i | 0.537636 | + | 0.588861i | ||||
\(706\) | −19.5996 | − | 12.5959i | −0.737642 | − | 0.474054i | ||||
\(707\) | 14.5900 | + | 49.6889i | 0.548713 | + | 1.86874i | ||||
\(708\) | 4.30767 | − | 3.73262i | 0.161892 | − | 0.140280i | ||||
\(709\) | 44.8921 | + | 13.1815i | 1.68596 | + | 0.495042i | 0.977540 | − | 0.210752i | \(-0.0675913\pi\) |
0.708417 | + | 0.705794i | \(0.249410\pi\) | |||||||
\(710\) | −0.137143 | − | 5.28203i | −0.00514687 | − | 0.198231i | ||||
\(711\) | 1.49719 | − | 10.4132i | 0.0561490 | − | 0.390525i | ||||
\(712\) | − | 11.2856i | − | 0.422945i | ||||||
\(713\) | 16.9473 | + | 36.0650i | 0.634681 | + | 1.35065i | ||||
\(714\) | −0.562996 | −0.0210696 | ||||||||
\(715\) | 26.6420 | − | 43.9220i | 0.996356 | − | 1.64259i | ||||
\(716\) | 3.24253 | + | 7.10016i | 0.121179 | + | 0.265345i | ||||
\(717\) | −0.675741 | + | 2.30136i | −0.0252360 | + | 0.0859460i | ||||
\(718\) | 2.98863 | − | 2.58966i | 0.111535 | − | 0.0966454i | ||||
\(719\) | 8.83106 | − | 2.59303i | 0.329343 | − | 0.0967039i | −0.112881 | − | 0.993609i | \(-0.536008\pi\) |
0.442224 | + | 0.896905i | \(0.354190\pi\) | |||||||
\(720\) | −1.84909 | + | 1.25733i | −0.0689115 | + | 0.0468578i | ||||
\(721\) | 21.9245 | − | 48.0080i | 0.816512 | − | 1.78791i | ||||
\(722\) | 1.61269 | + | 1.39740i | 0.0600181 | + | 0.0520059i | ||||
\(723\) | 3.31609 | + | 5.15993i | 0.123327 | + | 0.191900i | ||||
\(724\) | 1.59325 | + | 11.0813i | 0.0592127 | + | 0.411834i | ||||
\(725\) | −11.2683 | + | 14.4567i | −0.418492 | + | 0.536910i | ||||
\(726\) | 7.25331 | − | 4.66142i | 0.269196 | − | 0.173002i | ||||
\(727\) | −8.80672 | − | 7.63107i | −0.326623 | − | 0.283021i | 0.476077 | − | 0.879404i | \(-0.342058\pi\) |
−0.802700 | + | 0.596383i | \(0.796604\pi\) | |||||||
\(728\) | 20.4247 | + | 9.32765i | 0.756990 | + | 0.345706i | ||||
\(729\) | −0.841254 | − | 0.540641i | −0.0311575 | − | 0.0200237i | ||||
\(730\) | 0.176228 | − | 1.50140i | 0.00652250 | − | 0.0555693i | ||||
\(731\) | 0.412662 | + | 0.476238i | 0.0152629 | + | 0.0176143i | ||||
\(732\) | 0.612840 | − | 2.08714i | 0.0226512 | − | 0.0771429i | ||||
\(733\) | 8.45428 | − | 3.86094i | 0.312266 | − | 0.142607i | −0.253117 | − | 0.967436i | \(-0.581456\pi\) |
0.565383 | + | 0.824829i | \(0.308728\pi\) | |||||||
\(734\) | −1.67901 | + | 11.6777i | −0.0619732 | + | 0.431033i | ||||
\(735\) | −24.1625 | − | 10.2853i | −0.891248 | − | 0.379380i | ||||
\(736\) | 4.73931 | − | 0.734158i | 0.174693 | − | 0.0270614i | ||||
\(737\) | 28.9301i | 1.06565i | ||||||||
\(738\) | 7.65956 | + | 1.10128i | 0.281952 | + | 0.0405386i | ||||
\(739\) | 13.3152 | + | 29.1563i | 0.489808 | + | 1.07253i | 0.979649 | + | 0.200718i | \(0.0643276\pi\) |
−0.489841 | + | 0.871812i | \(0.662945\pi\) | |||||||
\(740\) | 19.5094 | + | 16.0377i | 0.717181 | + | 0.589556i | ||||
\(741\) | −15.6134 | − | 18.0188i | −0.573572 | − | 0.661937i | ||||
\(742\) | −7.37196 | − | 25.1066i | −0.270633 | − | 0.921692i | ||||
\(743\) | 1.77028 | − | 2.75461i | 0.0649453 | − | 0.101057i | −0.807262 | − | 0.590193i | \(-0.799052\pi\) |
0.872207 | + | 0.489136i | \(0.162688\pi\) | |||||||
\(744\) | 3.45167 | − | 7.55811i | 0.126544 | − | 0.277094i | ||||
\(745\) | −10.2445 | − | 20.9738i | −0.375328 | − | 0.768422i | ||||
\(746\) | −1.24898 | + | 0.802671i | −0.0457284 | + | 0.0293879i | ||||
\(747\) | −3.21518 | + | 0.462274i | −0.117637 | + | 0.0169137i | ||||
\(748\) | −0.570167 | + | 0.0819777i | −0.0208474 | + | 0.00299740i | ||||
\(749\) | −57.0271 | + | 36.6491i | −2.08373 | + | 1.33913i | ||||
\(750\) | 3.83922 | − | 10.5005i | 0.140189 | − | 0.383424i | ||||
\(751\) | 9.25348 | − | 20.2623i | 0.337664 | − | 0.739381i | −0.662287 | − | 0.749250i | \(-0.730414\pi\) |
0.999951 | + | 0.00986870i | \(0.00314135\pi\) | |||||||
\(752\) | −5.11896 | + | 7.96527i | −0.186669 | + | 0.290463i | ||||
\(753\) | 1.32498 | + | 4.51246i | 0.0482849 | + | 0.164443i | ||||
\(754\) | 12.4505 | + | 14.3687i | 0.453421 | + | 0.523276i | ||||
\(755\) | 2.13533 | − | 2.59758i | 0.0777125 | − | 0.0945354i | ||||
\(756\) | −1.79852 | − | 3.93820i | −0.0654114 | − | 0.143231i | ||||
\(757\) | 9.17184 | + | 1.31871i | 0.333356 | + | 0.0479294i | 0.306961 | − | 0.951722i | \(-0.400688\pi\) |
0.0263956 | + | 0.999652i | \(0.491597\pi\) | |||||||
\(758\) | 33.9923i | 1.23465i | ||||||||
\(759\) | 21.0594 | + | 2.79423i | 0.764408 | + | 0.101424i | ||||
\(760\) | 9.45831 | + | 4.02615i | 0.343089 | + | 0.146044i | ||||
\(761\) | −1.44846 | + | 10.0742i | −0.0525065 | + | 0.365191i | 0.946580 | + | 0.322468i | \(0.104512\pi\) |
−0.999087 | + | 0.0427231i | \(0.986397\pi\) | |||||||
\(762\) | 0.151971 | − | 0.0694029i | 0.00550534 | − | 0.00251420i | ||||
\(763\) | 10.6320 | − | 36.2092i | 0.384904 | − | 1.31086i | ||||
\(764\) | 3.38067 | + | 3.90150i | 0.122308 | + | 0.141151i | ||||
\(765\) | 0.288793 | + | 0.0338974i | 0.0104413 | + | 0.00122556i | ||||
\(766\) | −7.27982 | − | 4.67846i | −0.263031 | − | 0.169040i | ||||
\(767\) | 26.8898 | + | 12.2802i | 0.970936 | + | 0.443411i | ||||
\(768\) | −0.755750 | − | 0.654861i | −0.0272708 | − | 0.0236303i | ||||
\(769\) | −37.2050 | + | 23.9102i | −1.34165 | + | 0.862223i | −0.997067 | − | 0.0765341i | \(-0.975615\pi\) |
−0.344579 | + | 0.938757i | \(0.611978\pi\) | |||||||
\(770\) | −41.4460 | − | 11.0096i | −1.49361 | − | 0.396759i | ||||
\(771\) | 3.72857 | + | 25.9327i | 0.134281 | + | 0.933945i | ||||
\(772\) | −7.62936 | − | 11.8715i | −0.274587 | − | 0.427265i | ||||
\(773\) | 25.6222 | + | 22.2018i | 0.921566 | + | 0.798541i | 0.979845 | − | 0.199759i | \(-0.0640159\pi\) |
−0.0582791 | + | 0.998300i | \(0.518561\pi\) | |||||||
\(774\) | −2.01305 | + | 4.40797i | −0.0723576 | + | 0.158441i | ||||
\(775\) | 8.03843 | + | 40.7598i | 0.288749 | + | 1.46413i | ||||
\(776\) | 6.47088 | − | 1.90002i | 0.232291 | − | 0.0682068i | ||||
\(777\) | −36.9552 | + | 32.0219i | −1.32576 | + | 1.14878i | ||||
\(778\) | 0.322894 | − | 1.09968i | 0.0115763 | − | 0.0394253i | ||||
\(779\) | −14.7781 | − | 32.3596i | −0.529481 | − | 1.15940i | ||||
\(780\) | −9.91541 | − | 6.01444i | −0.355028 | − | 0.215352i | ||||
\(781\) | 10.4673 | 0.374549 | ||||||||
\(782\) | −0.528283 | − | 0.331436i | −0.0188914 | − | 0.0118521i | ||||
\(783\) | − | 3.66590i | − | 0.131009i | ||||||
\(784\) | 1.67135 | − | 11.6245i | 0.0596912 | − | 0.415162i | ||||
\(785\) | −0.824321 | − | 31.7486i | −0.0294213 | − | 1.13316i | ||||
\(786\) | −13.0138 | − | 3.82120i | −0.464187 | − | 0.136298i | ||||
\(787\) | −13.5718 | + | 11.7600i | −0.483781 | + | 0.419199i | −0.862302 | − | 0.506394i | \(-0.830978\pi\) |
0.378521 | + | 0.925593i | \(0.376433\pi\) | |||||||
\(788\) | −6.55684 | − | 22.3306i | −0.233578 | − | 0.795493i | ||||
\(789\) | −19.4718 | − | 12.5138i | −0.693215 | − | 0.445503i | ||||
\(790\) | −17.3725 | + | 15.8612i | −0.618084 | + | 0.564317i | ||||
\(791\) | 41.9948 | − | 48.4646i | 1.49316 | − | 1.72320i | ||||
\(792\) | −2.39486 | − | 3.72648i | −0.0850978 | − | 0.132415i | ||||
\(793\) | 11.1667 | − | 1.60553i | 0.396541 | − | 0.0570140i | ||||
\(794\) | −1.65870 | − | 11.5365i | −0.0588651 | − | 0.409415i | ||||
\(795\) | 2.26986 | + | 13.3225i | 0.0805038 | + | 0.472500i | ||||
\(796\) | −1.34733 | + | 1.55490i | −0.0477548 | + | 0.0551120i | ||||
\(797\) | 11.9443 | + | 5.45479i | 0.423089 | + | 0.193218i | 0.615570 | − | 0.788082i | \(-0.288926\pi\) |
−0.192480 | + | 0.981301i | \(0.561653\pi\) | |||||||
\(798\) | −10.7605 | + | 16.7436i | −0.380916 | + | 0.592717i | ||||
\(799\) | 1.18138 | − | 0.346884i | 0.0417941 | − | 0.0122719i | ||||
\(800\) | 4.97936 | + | 0.453791i | 0.176047 | + | 0.0160439i | ||||
\(801\) | −10.8284 | − | 3.17951i | −0.382604 | − | 0.112343i | ||||
\(802\) | 4.90345 | − | 2.23933i | 0.173147 | − | 0.0790735i | ||||
\(803\) | 2.96422 | + | 0.426191i | 0.104605 | + | 0.0150400i | ||||
\(804\) | 6.53098 | 0.230330 | ||||||||
\(805\) | −26.5227 | − | 38.1066i | −0.934801 | − | 1.34308i | ||||
\(806\) | 43.0929 | 1.51788 | ||||||||
\(807\) | −10.5697 | − | 1.51969i | −0.372070 | − | 0.0534956i | ||||
\(808\) | 10.8806 | − | 4.96899i | 0.382777 | − | 0.174808i | ||||
\(809\) | −20.3229 | − | 5.96735i | −0.714517 | − | 0.209801i | −0.0957834 | − | 0.995402i | \(-0.530536\pi\) |
−0.618733 | + | 0.785601i | \(0.712354\pi\) | |||||||
\(810\) | 0.685448 | + | 2.12842i | 0.0240842 | + | 0.0747850i | ||||
\(811\) | −44.9167 | + | 13.1887i | −1.57724 | + | 0.463119i | −0.949098 | − | 0.314981i | \(-0.898002\pi\) |
−0.628141 | + | 0.778100i | \(0.716184\pi\) | |||||||
\(812\) | 8.58068 | − | 13.3518i | 0.301123 | − | 0.468556i | ||||
\(813\) | 21.8297 | + | 9.96930i | 0.765602 | + | 0.349639i | ||||
\(814\) | −32.7632 | + | 37.8108i | −1.14835 | + | 1.32527i | ||||
\(815\) | −11.9232 | + | 2.03145i | −0.417650 | + | 0.0711585i | ||||
\(816\) | 0.0185065 | + | 0.128715i | 0.000647856 | + | 0.00450594i | ||||
\(817\) | 22.0505 | − | 3.17039i | 0.771450 | − | 0.110918i | ||||
\(818\) | −9.07358 | − | 14.1188i | −0.317250 | − | 0.493651i | ||||
\(819\) | 14.7041 | − | 16.9695i | 0.513803 | − | 0.592961i | ||||
\(820\) | −11.6669 | − | 12.7785i | −0.407427 | − | 0.446246i | ||||
\(821\) | 12.5207 | + | 8.04654i | 0.436974 | + | 0.280826i | 0.740576 | − | 0.671973i | \(-0.234553\pi\) |
−0.303602 | + | 0.952799i | \(0.598189\pi\) | |||||||
\(822\) | 4.79038 | + | 16.3145i | 0.167084 | + | 0.569035i | ||||
\(823\) | −6.72049 | + | 5.82334i | −0.234262 | + | 0.202989i | −0.764079 | − | 0.645123i | \(-0.776806\pi\) |
0.529817 | + | 0.848112i | \(0.322261\pi\) | |||||||
\(824\) | −11.6966 | − | 3.43442i | −0.407469 | − | 0.119644i | ||||
\(825\) | 20.5972 | + | 8.14289i | 0.717102 | + | 0.283499i | ||||
\(826\) | 3.51193 | − | 24.4260i | 0.122196 | − | 0.849891i | ||||
\(827\) | − | 52.2852i | − | 1.81813i | −0.416650 | − | 0.909067i | \(-0.636796\pi\) | ||
0.416650 | − | 0.909067i | \(-0.363204\pi\) | |||||||
\(828\) | 0.630797 | − | 4.75417i | 0.0219217 | − | 0.165219i | ||||
\(829\) | −11.2534 | −0.390846 | −0.195423 | − | 0.980719i | \(-0.562608\pi\) | ||||
−0.195423 | + | 0.980719i | \(0.562608\pi\) | |||||||
\(830\) | 6.21014 | + | 3.76692i | 0.215557 | + | 0.130752i | ||||
\(831\) | −8.72459 | − | 19.1042i | −0.302653 | − | 0.662717i | ||||
\(832\) | 1.46115 | − | 4.97622i | 0.0506563 | − | 0.172519i | ||||
\(833\) | −1.15417 | + | 1.00009i | −0.0399896 | + | 0.0346512i | ||||
\(834\) | 1.34348 | − | 0.394480i | 0.0465208 | − | 0.0136597i | ||||
\(835\) | −9.12911 | − | 13.4257i | −0.315926 | − | 0.464616i | ||||
\(836\) | −8.45948 | + | 18.5237i | −0.292577 | + | 0.640655i | ||||
\(837\) | −6.27950 | − | 5.44122i | −0.217051 | − | 0.188076i | ||||
\(838\) | −2.49309 | − | 3.87932i | −0.0861224 | − | 0.134009i | ||||
\(839\) | −0.139634 | − | 0.971177i | −0.00482071 | − | 0.0335288i | 0.987269 | − | 0.159059i | \(-0.0508459\pi\) |
−0.992090 | + | 0.125530i | \(0.959937\pi\) | |||||||
\(840\) | −2.48542 | + | 9.35644i | −0.0857552 | + | 0.322828i | ||||
\(841\) | −13.0909 | + | 8.41300i | −0.451410 | + | 0.290104i | ||||
\(842\) | 23.4374 | + | 20.3086i | 0.807705 | + | 0.699880i | ||||
\(843\) | 14.4885 | + | 6.61669i | 0.499012 | + | 0.227891i | ||||
\(844\) | −7.22874 | − | 4.64563i | −0.248823 | − | 0.159909i | ||||
\(845\) | 3.62275 | − | 30.8644i | 0.124626 | − | 1.06177i | ||||
\(846\) | 6.20044 | + | 7.15569i | 0.213175 | + | 0.246018i | ||||
\(847\) | 10.5167 | − | 35.8165i | 0.361357 | − | 1.23067i | ||||
\(848\) | −5.49769 | + | 2.51071i | −0.188791 | + | 0.0862181i | ||||
\(849\) | 4.51850 | − | 31.4269i | 0.155075 | − | 1.07857i | ||||
\(850\) | −0.450713 | − | 0.468627i | −0.0154593 | − | 0.0160738i | ||||
\(851\) | −53.5279 | + | 8.29192i | −1.83491 | + | 0.284243i | ||||
\(852\) | − | 2.36299i | − | 0.0809547i | ||||||
\(853\) | −15.8223 | − | 2.27490i | −0.541744 | − | 0.0778911i | −0.133990 | − | 0.990983i | \(-0.542779\pi\) |
−0.407754 | + | 0.913092i | \(0.633688\pi\) | |||||||
\(854\) | −3.91223 | − | 8.56658i | −0.133874 | − | 0.293142i | ||||
\(855\) | 6.52778 | − | 7.94088i | 0.223245 | − | 0.271572i | ||||
\(856\) | 10.2535 | + | 11.8332i | 0.350457 | + | 0.404449i | ||||
\(857\) | 1.57066 | + | 5.34918i | 0.0536528 | + | 0.182725i | 0.981960 | − | 0.189090i | \(-0.0605538\pi\) |
−0.928307 | + | 0.371815i | \(0.878736\pi\) | |||||||
\(858\) | 12.4205 | − | 19.3267i | 0.424029 | − | 0.659801i | ||||
\(859\) | −10.8981 | + | 23.8636i | −0.371839 | + | 0.814214i | 0.627526 | + | 0.778595i | \(0.284067\pi\) |
−0.999365 | + | 0.0356188i | \(0.988660\pi\) | |||||||
\(860\) | 9.73636 | − | 4.75563i | 0.332007 | − | 0.162166i | ||||
\(861\) | 28.1842 | − | 18.1129i | 0.960515 | − | 0.617286i | ||||
\(862\) | 2.25545 | − | 0.324284i | 0.0768208 | − | 0.0110452i | ||||
\(863\) | −51.7280 | + | 7.43736i | −1.76084 | + | 0.253171i | −0.945456 | − | 0.325749i | \(-0.894384\pi\) |
−0.815385 | + | 0.578919i | \(0.803475\pi\) | |||||||
\(864\) | −0.841254 | + | 0.540641i | −0.0286200 | + | 0.0183930i | ||||
\(865\) | −6.76391 | + | 3.30377i | −0.229980 | + | 0.112331i | ||||
\(866\) | 16.4269 | − | 35.9699i | 0.558210 | − | 1.22231i | ||||
\(867\) | −9.18175 | + | 14.2871i | −0.311829 | + | 0.485215i | ||||
\(868\) | −10.1348 | − | 34.5160i | −0.343998 | − | 1.17155i | ||||
\(869\) | −30.5174 | − | 35.2190i | −1.03523 | − | 1.19472i | ||||
\(870\) | −5.20542 | + | 6.33228i | −0.176480 | + | 0.214684i | ||||
\(871\) | 14.0708 | + | 30.8107i | 0.476771 | + | 1.04398i | ||||
\(872\) | −8.62785 | − | 1.24050i | −0.292176 | − | 0.0420085i | ||||
\(873\) | − | 6.74406i | − | 0.228252i | ||||||
\(874\) | −19.9540 | + | 9.37653i | −0.674952 | + | 0.317166i | ||||
\(875\) | −17.2090 | − | 45.2422i | −0.581770 | − | 1.52947i | ||||
\(876\) | 0.0962127 | − | 0.669174i | 0.00325073 | − | 0.0226093i | ||||
\(877\) | 2.39636 | − | 1.09438i | 0.0809194 | − | 0.0369547i | −0.374544 | − | 0.927209i | \(-0.622201\pi\) |
0.455464 | + | 0.890254i | \(0.349474\pi\) | |||||||
\(878\) | 9.59584 | − | 32.6804i | 0.323844 | − | 1.10291i | ||||
\(879\) | 12.9968 | + | 14.9991i | 0.438371 | + | 0.505907i | ||||
\(880\) | −1.15469 | + | 9.83752i | −0.0389246 | + | 0.331623i | ||||
\(881\) | −15.3036 | − | 9.83502i | −0.515591 | − | 0.331350i | 0.256835 | − | 0.966455i | \(-0.417320\pi\) |
−0.772426 | + | 0.635105i | \(0.780957\pi\) | |||||||
\(882\) | −10.6828 | − | 4.87866i | −0.359708 | − | 0.164273i | ||||
\(883\) | 33.5584 | + | 29.0785i | 1.12933 | + | 0.978570i | 0.999915 | − | 0.0130207i | \(-0.00414472\pi\) |
0.129415 | + | 0.991591i | \(0.458690\pi\) | |||||||
\(884\) | −0.567360 | + | 0.364620i | −0.0190824 | + | 0.0122635i | ||||
\(885\) | −3.27214 | + | 12.3181i | −0.109992 | + | 0.414068i | ||||
\(886\) | −2.08197 | − | 14.4804i | −0.0699453 | − | 0.486480i | ||||
\(887\) | −11.6940 | − | 18.1963i | −0.392647 | − | 0.610971i | 0.587504 | − | 0.809221i | \(-0.300110\pi\) |
−0.980151 | + | 0.198250i | \(0.936474\pi\) | |||||||
\(888\) | 8.53579 | + | 7.39630i | 0.286442 | + | 0.248204i | ||||
\(889\) | 0.300476 | − | 0.657951i | 0.0100776 | − | 0.0220670i | ||||
\(890\) | 14.1897 | + | 20.8680i | 0.475638 | + | 0.699498i | ||||
\(891\) | −4.25024 | + | 1.24798i | −0.142388 | + | 0.0418090i | ||||
\(892\) | −0.104532 | + | 0.0905778i | −0.00350000 | + | 0.00303277i | ||||
\(893\) | 12.2631 | − | 41.7643i | 0.410369 | − | 1.39759i | ||||
\(894\) | −4.33647 | − | 9.49554i | −0.145033 | − | 0.317578i | ||||
\(895\) | −14.9230 | − | 9.05190i | −0.498819 | − | 0.302572i | ||||
\(896\) | −4.32944 | −0.144637 | ||||||||
\(897\) | 23.7874 | − | 7.26683i | 0.794239 | − | 0.242633i | ||||
\(898\) | 7.83616i | 0.261496i | ||||||||
\(899\) | 4.33489 | − | 30.1498i | 0.144577 | − | 1.00555i | ||||
\(900\) | 1.83826 | − | 4.64982i | 0.0612753 | − | 0.154994i | ||||
\(901\) | 0.754101 | + | 0.221424i | 0.0251227 | + | 0.00737670i | ||||
\(902\) | 25.9058 | − | 22.4475i | 0.862569 | − | 0.747420i | ||||
\(903\) | 5.91073 | + | 20.1301i | 0.196697 | + | 0.669888i | ||||
\(904\) | −12.4607 | − | 8.00799i | −0.414436 | − | 0.266342i | ||||
\(905\) | −16.8789 | − | 18.4871i | −0.561073 | − | 0.614532i | ||||
\(906\) | 0.984777 | − | 1.13649i | 0.0327170 | − | 0.0377575i | ||||
\(907\) | −23.8467 | − | 37.1061i | −0.791815 | − | 1.23209i | −0.968792 | − | 0.247874i | \(-0.920268\pi\) |
0.176977 | − | 0.984215i | \(-0.443368\pi\) | |||||||
\(908\) | 22.7686 | − | 3.27363i | 0.755603 | − | 0.108639i | ||||
\(909\) | −1.70230 | − | 11.8398i | −0.0564617 | − | 0.392700i | ||||
\(910\) | −49.4950 | + | 8.43287i | −1.64074 | + | 0.279547i | ||||
\(911\) | 0.229458 | − | 0.264808i | 0.00760228 | − | 0.00877350i | −0.751936 | − | 0.659236i | \(-0.770880\pi\) |
0.759538 | + | 0.650463i | \(0.225425\pi\) | |||||||
\(912\) | 4.18173 | + | 1.90973i | 0.138471 | + | 0.0632375i | ||||
\(913\) | −7.77911 | + | 12.1045i | −0.257451 | + | 0.400601i | ||||
\(914\) | −28.3857 | + | 8.33480i | −0.938916 | + | 0.275691i | ||||
\(915\) | 1.49102 | + | 4.62985i | 0.0492917 | + | 0.153058i | ||||
\(916\) | −23.7376 | − | 6.96998i | −0.784311 | − | 0.230294i | ||||
\(917\) | −53.4146 | + | 24.3936i | −1.76391 | + | 0.805549i | ||||
\(918\) | 0.128715 | + | 0.0185065i | 0.00424824 | + | 0.000610805i | ||||
\(919\) | 21.8468 | 0.720660 | 0.360330 | − | 0.932825i | \(-0.382664\pi\) | ||||
0.360330 | + | 0.932825i | \(0.382664\pi\) | |||||||
\(920\) | −7.84032 | + | 7.31638i | −0.258488 | + | 0.241214i | ||||
\(921\) | 15.4724 | 0.509832 | ||||||||
\(922\) | −5.47783 | − | 0.787593i | −0.180403 | − | 0.0259380i | ||||
\(923\) | 11.1477 | − | 5.09099i | 0.366931 | − | 0.167572i | ||||
\(924\) | −18.4012 | − | 5.40307i | −0.605354 | − | 0.177748i | ||||
\(925\) | −56.2393 | − | 5.12533i | −1.84914 | − | 0.168520i | ||||
\(926\) | 13.9735 | − | 4.10298i | 0.459197 | − | 0.134832i | ||||
\(927\) | −6.59060 | + | 10.2552i | −0.216464 | + | 0.336824i | ||||
\(928\) | −3.33462 | − | 1.52287i | −0.109464 | − | 0.0499907i | ||||
\(929\) | 30.7674 | − | 35.5074i | 1.00944 | − | 1.16496i | 0.0231899 | − | 0.999731i | \(-0.492618\pi\) |
0.986255 | − | 0.165230i | \(-0.0528368\pi\) | |||||||
\(930\) | 3.12056 | + | 18.3155i | 0.102327 | + | 0.600589i | ||||
\(931\) | 7.68349 | + | 53.4398i | 0.251816 | + | 1.75142i | ||||
\(932\) | 2.23026 | − | 0.320664i | 0.0730547 | − | 0.0105037i | ||||
\(933\) | −7.73112 | − | 12.0299i | −0.253106 | − | 0.393840i | ||||
\(934\) | 11.9994 | − | 13.8481i | 0.392634 | − | 0.453124i | ||||
\(935\) | 0.951217 | − | 0.868471i | 0.0311081 | − | 0.0284020i | ||||
\(936\) | −4.36300 | − | 2.80393i | −0.142609 | − | 0.0916493i | ||||
\(937\) | 3.37699 | + | 11.5010i | 0.110322 | + | 0.375721i | 0.996083 | − | 0.0884194i | \(-0.0281816\pi\) |
−0.885762 | + | 0.464140i | \(0.846363\pi\) | |||||||
\(938\) | 21.3692 | − | 18.5165i | 0.697729 | − | 0.604586i | ||||
\(939\) | −27.4409 | − | 8.05736i | −0.895499 | − | 0.262942i | ||||
\(940\) | −0.549521 | − | 21.1647i | −0.0179234 | − | 0.690316i | ||||
\(941\) | −1.44014 | + | 10.0164i | −0.0469473 | + | 0.326526i | 0.952790 | + | 0.303629i | \(0.0981982\pi\) |
−0.999738 | + | 0.0228974i | \(0.992711\pi\) | |||||||
\(942\) | − | 14.2032i | − | 0.462765i | ||||||
\(943\) | 37.1095 | − | 0.404030i | 1.20845 | − | 0.0131570i | ||||
\(944\) | −5.69986 | −0.185515 | ||||||||
\(945\) | 8.27722 | + | 5.02076i | 0.269258 | + | 0.163325i | ||||
\(946\) | 8.91716 | + | 19.5259i | 0.289922 | + | 0.634840i | ||||
\(947\) | 0.650735 | − | 2.21620i | 0.0211460 | − | 0.0720168i | −0.948244 | − | 0.317543i | \(-0.897142\pi\) |
0.969390 | + | 0.245526i | \(0.0789606\pi\) | |||||||
\(948\) | −7.95069 | + | 6.88931i | −0.258226 | + | 0.223754i | ||||
\(949\) | 3.36420 | − | 0.987819i | 0.109207 | − | 0.0320660i | ||||
\(950\) | −22.5514 | + | 4.44748i | −0.731665 | + | 0.144295i | ||||
\(951\) | −11.0588 | + | 24.2155i | −0.358608 | + | 0.785241i | ||||
\(952\) | 0.425484 | + | 0.368684i | 0.0137900 | + | 0.0119491i | ||||
\(953\) | −0.353463 | − | 0.550000i | −0.0114498 | − | 0.0178162i | 0.835481 | − | 0.549519i | \(-0.185189\pi\) |
−0.846931 | + | 0.531702i | \(0.821552\pi\) | |||||||
\(954\) | 0.860131 | + | 5.98234i | 0.0278478 | + | 0.193685i | ||||
\(955\) | −11.1566 | − | 2.96361i | −0.361019 | − | 0.0959002i | ||||
\(956\) | 2.01776 | − | 1.29674i | 0.0652591 | − | 0.0419395i | ||||
\(957\) | −12.2724 | − | 10.6341i | −0.396711 | − | 0.343752i | ||||
\(958\) | 0.526217 | + | 0.240315i | 0.0170013 | + | 0.00776423i | ||||
\(959\) | 61.9287 | + | 39.7991i | 1.99978 | + | 1.28518i | ||||
\(960\) | 2.22082 | + | 0.260671i | 0.0716767 | + | 0.00841313i | ||||
\(961\) | −24.9103 | − | 28.7480i | −0.803557 | − | 0.927354i | ||||
\(962\) | −16.5029 | + | 56.2038i | −0.532076 | + | 1.81208i | ||||
\(963\) | 14.2426 | − | 6.50436i | 0.458960 | − | 0.209600i | ||||
\(964\) | 0.872905 | − | 6.07119i | 0.0281144 | − | 0.195540i | ||||
\(965\) | 29.0337 | + | 12.3589i | 0.934629 | + | 0.397847i | ||||
\(966\) | −11.4150 | − | 17.3439i | −0.367271 | − | 0.558032i | ||||
\(967\) | − | 2.91319i | − | 0.0936820i | −0.998902 | − | 0.0468410i | \(-0.985085\pi\) | ||
0.998902 | − | 0.0468410i | \(-0.0149154\pi\) | |||||||
\(968\) | −8.53427 | − | 1.22704i | −0.274302 | − | 0.0394386i | ||||
\(969\) | −0.248339 | − | 0.543787i | −0.00797781 | − | 0.0174690i | ||||
\(970\) | −9.57628 | + | 11.6493i | −0.307476 | + | 0.374037i | ||||
\(971\) | −6.30329 | − | 7.27439i | −0.202282 | − | 0.233446i | 0.645540 | − | 0.763726i | \(-0.276632\pi\) |
−0.847823 | + | 0.530280i | \(0.822087\pi\) | |||||||
\(972\) | 0.281733 | + | 0.959493i | 0.00903658 | + | 0.0307758i | ||||
\(973\) | 3.27740 | − | 5.09973i | 0.105068 | − | 0.163490i | ||||
\(974\) | −3.73600 | + | 8.18070i | −0.119709 | + | 0.262126i | ||||
\(975\) | 25.8966 | − | 1.34567i | 0.829354 | − | 0.0430958i | ||||
\(976\) | −1.82994 | + | 1.17603i | −0.0585749 | + | 0.0376438i | ||||
\(977\) | 2.57381 | − | 0.370058i | 0.0823434 | − | 0.0118392i | −0.101020 | − | 0.994884i | \(-0.532211\pi\) |
0.183363 | + | 0.983045i | \(0.441302\pi\) | |||||||
\(978\) | −5.35398 | + | 0.769786i | −0.171201 | + | 0.0246150i | ||||
\(979\) | −42.0555 | + | 27.0274i | −1.34410 | + | 0.863800i | ||||
\(980\) | 11.5253 | + | 23.5962i | 0.368164 | + | 0.753754i | ||||
\(981\) | −3.62099 | + | 7.92887i | −0.115609 | + | 0.253149i | ||||
\(982\) | −9.99766 | + | 15.5567i | −0.319038 | + | 0.496433i | ||||
\(983\) | 8.07853 | + | 27.5130i | 0.257665 | + | 0.877527i | 0.982128 | + | 0.188213i | \(0.0602697\pi\) |
−0.724463 | + | 0.689314i | \(0.757912\pi\) | |||||||
\(984\) | −5.06753 | − | 5.84824i | −0.161547 | − | 0.186435i | ||||
\(985\) | 40.2010 | + | 33.0471i | 1.28091 | + | 1.05297i | ||||
\(986\) | 0.198032 | + | 0.433631i | 0.00630664 | + | 0.0138096i | ||||
\(987\) | 40.5753 | + | 5.83385i | 1.29153 | + | 0.185694i | ||||
\(988\) | 23.8423i | 0.758524i | ||||||||
\(989\) | −6.30432 | + | 22.3686i | −0.200466 | + | 0.711280i | ||||
\(990\) | 9.11372 | + | 3.87947i | 0.289653 | + | 0.123298i | ||||
\(991\) | −1.02432 | + | 7.12433i | −0.0325387 | + | 0.226312i | −0.999602 | − | 0.0282259i | \(-0.991014\pi\) |
0.967063 | + | 0.254538i | \(0.0819233\pi\) | |||||||
\(992\) | −7.55811 | + | 3.45167i | −0.239970 | + | 0.109591i | ||||
\(993\) | 1.24212 | − | 4.23027i | 0.0394175 | − | 0.134244i | ||||
\(994\) | −6.69951 | − | 7.73164i | −0.212495 | − | 0.245233i | ||||
\(995\) | 0.536313 | − | 4.56918i | 0.0170023 | − | 0.144853i | ||||
\(996\) | 2.73260 | + | 1.75613i | 0.0865857 | + | 0.0556453i | ||||
\(997\) | −18.5863 | − | 8.48808i | −0.588634 | − | 0.268820i | 0.0987524 | − | 0.995112i | \(-0.468515\pi\) |
−0.687386 | + | 0.726292i | \(0.741242\pi\) | |||||||
\(998\) | 4.88867 | + | 4.23606i | 0.154748 | + | 0.134090i | ||||
\(999\) | 9.50151 | − | 6.10625i | 0.300615 | − | 0.193193i |
(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 | 690.2.r.b.169.8 | yes | 120 | |
5.4 | even | 2 | inner | 690.2.r.b.169.5 | yes | 120 | |
23.3 | even | 11 | inner | 690.2.r.b.49.5 | ✓ | 120 | |
115.49 | even | 22 | inner | 690.2.r.b.49.8 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.r.b.49.5 | ✓ | 120 | 23.3 | even | 11 | inner | |
690.2.r.b.49.8 | yes | 120 | 115.49 | even | 22 | inner | |
690.2.r.b.169.5 | yes | 120 | 5.4 | even | 2 | inner | |
690.2.r.b.169.8 | yes | 120 | 1.1 | even | 1 | trivial |