Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(4,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.m (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 31.1 | ||
Root | \(-0.104528 - 0.994522i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 99.31 |
Dual form | 99.2.m.a.16.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.373619 | − | 0.0794152i | 0.264189 | − | 0.0561550i | −0.0739128 | − | 0.997265i | \(-0.523549\pi\) |
0.338101 | + | 0.941110i | \(0.390215\pi\) | |||||||
\(3\) | 1.72256 | − | 0.181049i | 0.994522 | − | 0.104528i | ||||
\(4\) | −1.69381 | + | 0.754131i | −0.846903 | + | 0.377066i | ||||
\(5\) | 1.20906 | + | 0.256993i | 0.540707 | + | 0.114931i | 0.470166 | − | 0.882578i | \(-0.344194\pi\) |
0.0705409 | + | 0.997509i | \(0.477527\pi\) | |||||||
\(6\) | 0.629204 | − | 0.204441i | 0.256872 | − | 0.0834626i | ||||
\(7\) | 0.104528 | − | 0.994522i | 0.0395080 | − | 0.375894i | −0.956847 | − | 0.290592i | \(-0.906148\pi\) |
0.996355 | − | 0.0853021i | \(-0.0271855\pi\) | |||||||
\(8\) | −1.19098 | + | 0.865300i | −0.421076 | + | 0.305930i | ||||
\(9\) | 2.93444 | − | 0.623735i | 0.978148 | − | 0.207912i | ||||
\(10\) | 0.472136 | 0.149302 | ||||||||
\(11\) | −3.01430 | + | 1.38348i | −0.908844 | + | 0.417136i | ||||
\(12\) | −2.78115 | + | 1.60570i | −0.802850 | + | 0.463525i | ||||
\(13\) | −4.33070 | − | 4.80973i | −1.20112 | − | 1.33398i | −0.928262 | − | 0.371926i | \(-0.878697\pi\) |
−0.272859 | − | 0.962054i | \(-0.587969\pi\) | |||||||
\(14\) | −0.0399263 | − | 0.379874i | −0.0106708 | − | 0.101525i | ||||
\(15\) | 2.12920 | + | 0.223788i | 0.549758 | + | 0.0577819i | ||||
\(16\) | 2.10502 | − | 2.33786i | 0.526254 | − | 0.584464i | ||||
\(17\) | 1.50000 | + | 4.61653i | 0.363803 | + | 1.11967i | 0.950727 | + | 0.310029i | \(0.100339\pi\) |
−0.586924 | + | 0.809642i | \(0.699661\pi\) | |||||||
\(18\) | 1.04683 | − | 0.466079i | 0.246740 | − | 0.109856i | ||||
\(19\) | −0.809017 | + | 0.587785i | −0.185601 | + | 0.134847i | −0.676706 | − | 0.736253i | \(-0.736593\pi\) |
0.491105 | + | 0.871100i | \(0.336593\pi\) | |||||||
\(20\) | −2.24171 | + | 0.476491i | −0.501263 | + | 0.106547i | ||||
\(21\) | − | 1.73205i | − | 0.377964i | ||||||
\(22\) | −1.01633 | + | 0.756276i | −0.216682 | + | 0.161239i | ||||
\(23\) | −2.30902 | + | 3.99933i | −0.481463 | + | 0.833919i | −0.999774 | − | 0.0212736i | \(-0.993228\pi\) |
0.518310 | + | 0.855193i | \(0.326561\pi\) | |||||||
\(24\) | −1.89488 | + | 1.70616i | −0.386791 | + | 0.348268i | ||||
\(25\) | −3.17195 | − | 1.41224i | −0.634391 | − | 0.282449i | ||||
\(26\) | −2.00000 | − | 1.45309i | −0.392232 | − | 0.284973i | ||||
\(27\) | 4.94183 | − | 1.60570i | 0.951057 | − | 0.309017i | ||||
\(28\) | 0.572949 | + | 1.76336i | 0.108277 | + | 0.333243i | ||||
\(29\) | 0.507392 | − | 4.82751i | 0.0942203 | − | 0.896446i | −0.840679 | − | 0.541534i | \(-0.817844\pi\) |
0.934899 | − | 0.354913i | \(-0.115489\pi\) | |||||||
\(30\) | 0.813284 | − | 0.0854796i | 0.148485 | − | 0.0156064i | ||||
\(31\) | 0.413545 | + | 0.459289i | 0.0742750 | + | 0.0824907i | 0.779137 | − | 0.626854i | \(-0.215658\pi\) |
−0.704862 | + | 0.709345i | \(0.748991\pi\) | |||||||
\(32\) | 2.07295 | − | 3.59045i | 0.366449 | − | 0.634708i | ||||
\(33\) | −4.94183 | + | 2.92887i | −0.860263 | + | 0.509851i | ||||
\(34\) | 0.927051 | + | 1.60570i | 0.158988 | + | 0.275375i | ||||
\(35\) | 0.381966 | − | 1.17557i | 0.0645640 | − | 0.198708i | ||||
\(36\) | −4.50000 | + | 3.26944i | −0.750000 | + | 0.544907i | ||||
\(37\) | 4.11803 | + | 2.99193i | 0.677001 | + | 0.491870i | 0.872361 | − | 0.488862i | \(-0.162588\pi\) |
−0.195361 | + | 0.980731i | \(0.562588\pi\) | |||||||
\(38\) | −0.255585 | + | 0.283856i | −0.0414614 | + | 0.0460475i | ||||
\(39\) | −8.33070 | − | 7.50100i | −1.33398 | − | 1.20112i | ||||
\(40\) | −1.66234 | + | 0.740122i | −0.262839 | + | 0.117024i | ||||
\(41\) | 0.264234 | + | 2.51402i | 0.0412664 | + | 0.392623i | 0.995587 | + | 0.0938399i | \(0.0299142\pi\) |
−0.954321 | + | 0.298783i | \(0.903419\pi\) | |||||||
\(42\) | −0.137551 | − | 0.647127i | −0.0212246 | − | 0.0998539i | ||||
\(43\) | −0.927051 | − | 1.60570i | −0.141374 | − | 0.244867i | 0.786640 | − | 0.617412i | \(-0.211819\pi\) |
−0.928014 | + | 0.372545i | \(0.878485\pi\) | |||||||
\(44\) | 4.06231 | − | 4.61653i | 0.612416 | − | 0.695967i | ||||
\(45\) | 3.70820 | 0.552786 | ||||||||
\(46\) | −0.545085 | + | 1.67760i | −0.0803684 | + | 0.247348i | ||||
\(47\) | 10.9116 | + | 4.85817i | 1.59163 | + | 0.708637i | 0.995545 | − | 0.0942873i | \(-0.0300572\pi\) |
0.596081 | + | 0.802925i | \(0.296724\pi\) | |||||||
\(48\) | 3.20276 | − | 4.40822i | 0.462278 | − | 0.636271i | ||||
\(49\) | 5.86889 | + | 1.24747i | 0.838412 | + | 0.178210i | ||||
\(50\) | −1.29726 | − | 0.275740i | −0.183460 | − | 0.0389956i | ||||
\(51\) | 3.41966 | + | 7.68068i | 0.478848 | + | 1.07551i | ||||
\(52\) | 10.9625 | + | 4.88084i | 1.52023 | + | 0.676851i | ||||
\(53\) | 1.26393 | − | 3.88998i | 0.173614 | − | 0.534330i | −0.825953 | − | 0.563739i | \(-0.809362\pi\) |
0.999567 | + | 0.0294087i | \(0.00936242\pi\) | |||||||
\(54\) | 1.71885 | − | 0.992377i | 0.233905 | − | 0.135045i | ||||
\(55\) | −4.00000 | + | 0.898056i | −0.539360 | + | 0.121094i | ||||
\(56\) | 0.736068 | + | 1.27491i | 0.0983612 | + | 0.170367i | ||||
\(57\) | −1.28716 | + | 1.15897i | −0.170489 | + | 0.153509i | ||||
\(58\) | −0.193806 | − | 1.84395i | −0.0254480 | − | 0.242122i | ||||
\(59\) | 1.47815 | − | 0.658114i | 0.192438 | − | 0.0856791i | −0.308255 | − | 0.951304i | \(-0.599745\pi\) |
0.500694 | + | 0.865625i | \(0.333078\pi\) | |||||||
\(60\) | −3.77523 | + | 1.22665i | −0.487380 | + | 0.158359i | ||||
\(61\) | 7.26281 | − | 8.06617i | 0.929908 | − | 1.03277i | −0.0694731 | − | 0.997584i | \(-0.522132\pi\) |
0.999381 | − | 0.0351834i | \(-0.0112015\pi\) | |||||||
\(62\) | 0.190983 | + | 0.138757i | 0.0242549 | + | 0.0176222i | ||||
\(63\) | −0.313585 | − | 2.98357i | −0.0395080 | − | 0.375894i | ||||
\(64\) | −1.45492 | + | 4.47777i | −0.181864 | + | 0.559721i | ||||
\(65\) | −4.00000 | − | 6.92820i | −0.496139 | − | 0.859338i | ||||
\(66\) | −1.61377 | + | 1.48674i | −0.198641 | + | 0.183005i | ||||
\(67\) | −3.00000 | + | 5.19615i | −0.366508 | + | 0.634811i | −0.989017 | − | 0.147802i | \(-0.952780\pi\) |
0.622509 | + | 0.782613i | \(0.286114\pi\) | |||||||
\(68\) | −6.02218 | − | 6.68830i | −0.730296 | − | 0.811076i | ||||
\(69\) | −3.25335 | + | 7.30715i | −0.391658 | + | 0.879677i | ||||
\(70\) | 0.0493516 | − | 0.469550i | 0.00589865 | − | 0.0561219i | ||||
\(71\) | −0.899187 | − | 2.76741i | −0.106714 | − | 0.328431i | 0.883415 | − | 0.468591i | \(-0.155238\pi\) |
−0.990129 | + | 0.140160i | \(0.955238\pi\) | |||||||
\(72\) | −2.95515 | + | 3.28203i | −0.348268 | + | 0.386791i | ||||
\(73\) | 0.118034 | + | 0.0857567i | 0.0138148 | + | 0.0100371i | 0.594671 | − | 0.803969i | \(-0.297282\pi\) |
−0.580856 | + | 0.814006i | \(0.697282\pi\) | |||||||
\(74\) | 1.77618 | + | 0.790807i | 0.206477 | + | 0.0919294i | ||||
\(75\) | −5.71957 | − | 1.85840i | −0.660440 | − | 0.214590i | ||||
\(76\) | 0.927051 | − | 1.60570i | 0.106340 | − | 0.184186i | ||||
\(77\) | 1.06082 | + | 3.14240i | 0.120892 | + | 0.358109i | ||||
\(78\) | −3.70820 | − | 2.14093i | −0.419871 | − | 0.242413i | ||||
\(79\) | −10.3315 | + | 2.19603i | −1.16238 | + | 0.247072i | −0.748423 | − | 0.663222i | \(-0.769188\pi\) |
−0.413961 | + | 0.910294i | \(0.635855\pi\) | |||||||
\(80\) | 3.14590 | − | 2.28563i | 0.351722 | − | 0.255541i | ||||
\(81\) | 8.22191 | − | 3.66063i | 0.913545 | − | 0.406737i | ||||
\(82\) | 0.298374 | + | 0.918300i | 0.0329499 | + | 0.101409i | ||||
\(83\) | −6.53335 | + | 7.25602i | −0.717128 | + | 0.796451i | −0.986004 | − | 0.166724i | \(-0.946681\pi\) |
0.268876 | + | 0.963175i | \(0.413348\pi\) | |||||||
\(84\) | 1.30619 | + | 2.93376i | 0.142517 | + | 0.320099i | ||||
\(85\) | 0.627171 | + | 5.96713i | 0.0680262 | + | 0.647226i | ||||
\(86\) | −0.473881 | − | 0.526298i | −0.0510999 | − | 0.0567522i | ||||
\(87\) | − | 8.40755i | − | 0.901384i | ||||||
\(88\) | 2.39285 | − | 4.25597i | 0.255078 | − | 0.453688i | ||||
\(89\) | −6.76393 | −0.716975 | −0.358488 | − | 0.933534i | \(-0.616707\pi\) | ||||
−0.358488 | + | 0.933534i | \(0.616707\pi\) | |||||||
\(90\) | 1.38546 | − | 0.294488i | 0.146040 | − | 0.0310417i | ||||
\(91\) | −5.23607 | + | 3.80423i | −0.548889 | + | 0.398791i | ||||
\(92\) | 0.895005 | − | 8.51540i | 0.0933107 | − | 0.887792i | ||||
\(93\) | 0.795511 | + | 0.716282i | 0.0824907 | + | 0.0742750i | ||||
\(94\) | 4.46261 | + | 0.948557i | 0.460283 | + | 0.0978362i | ||||
\(95\) | −1.12920 | + | 0.502754i | −0.115854 | + | 0.0515815i | ||||
\(96\) | 2.92074 | − | 6.56008i | 0.298097 | − | 0.669536i | ||||
\(97\) | −5.86889 | + | 1.24747i | −0.595895 | + | 0.126661i | −0.495979 | − | 0.868334i | \(-0.665191\pi\) |
−0.0999160 | + | 0.994996i | \(0.531857\pi\) | |||||||
\(98\) | 2.29180 | 0.231506 | ||||||||
\(99\) | −7.98235 | + | 5.93987i | −0.802256 | + | 0.596980i | ||||
\(100\) | 6.43769 | 0.643769 | ||||||||
\(101\) | 8.28700 | − | 1.76146i | 0.824587 | − | 0.175271i | 0.223754 | − | 0.974646i | \(-0.428169\pi\) |
0.600833 | + | 0.799374i | \(0.294835\pi\) | |||||||
\(102\) | 1.88761 | + | 2.59808i | 0.186902 | + | 0.257248i | ||||
\(103\) | −9.35111 | + | 4.16338i | −0.921393 | + | 0.410230i | −0.811926 | − | 0.583760i | \(-0.801581\pi\) |
−0.109466 | + | 0.993990i | \(0.534914\pi\) | |||||||
\(104\) | 9.31966 | + | 1.98095i | 0.913868 | + | 0.194249i | ||||
\(105\) | 0.445125 | − | 2.09415i | 0.0434397 | − | 0.204368i | ||||
\(106\) | 0.163305 | − | 1.55375i | 0.0158616 | − | 0.150913i | ||||
\(107\) | −11.3541 | + | 8.24924i | −1.09764 | + | 0.797484i | −0.980673 | − | 0.195652i | \(-0.937318\pi\) |
−0.116969 | + | 0.993136i | \(0.537318\pi\) | |||||||
\(108\) | −7.15960 | + | 6.44654i | −0.688933 | + | 0.620318i | ||||
\(109\) | 7.14590 | 0.684453 | 0.342226 | − | 0.939618i | \(-0.388819\pi\) | ||||
0.342226 | + | 0.939618i | \(0.388819\pi\) | |||||||
\(110\) | −1.42316 | + | 0.653192i | −0.135693 | + | 0.0622794i | ||||
\(111\) | 7.63525 | + | 4.40822i | 0.724706 | + | 0.418409i | ||||
\(112\) | −2.10502 | − | 2.33786i | −0.198905 | − | 0.220907i | ||||
\(113\) | −1.80166 | − | 17.1416i | −0.169486 | − | 1.61255i | −0.666975 | − | 0.745080i | \(-0.732411\pi\) |
0.497489 | − | 0.867470i | \(-0.334255\pi\) | |||||||
\(114\) | −0.388870 | + | 0.535233i | −0.0364210 | + | 0.0501292i | ||||
\(115\) | −3.81953 | + | 4.24202i | −0.356173 | + | 0.395571i | ||||
\(116\) | 2.78115 | + | 8.55951i | 0.258224 | + | 0.794730i | ||||
\(117\) | −15.7082 | − | 11.4127i | −1.45222 | − | 1.05510i | ||||
\(118\) | 0.500000 | − | 0.363271i | 0.0460287 | − | 0.0334418i | ||||
\(119\) | 4.74803 | − | 1.00922i | 0.435251 | − | 0.0925155i | ||||
\(120\) | −2.72949 | + | 1.57587i | −0.249167 | + | 0.143857i | ||||
\(121\) | 7.17195 | − | 8.34045i | 0.651996 | − | 0.758223i | ||||
\(122\) | 2.07295 | − | 3.59045i | 0.187676 | − | 0.325064i | ||||
\(123\) | 0.910318 | + | 4.28271i | 0.0820806 | + | 0.386159i | ||||
\(124\) | −1.04683 | − | 0.466079i | −0.0940081 | − | 0.0418551i | ||||
\(125\) | −8.47214 | − | 6.15537i | −0.757771 | − | 0.550553i | ||||
\(126\) | −0.354102 | − | 1.08981i | −0.0315459 | − | 0.0970883i | ||||
\(127\) | −3.26393 | − | 10.0453i | −0.289627 | − | 0.891381i | −0.984973 | − | 0.172706i | \(-0.944749\pi\) |
0.695346 | − | 0.718675i | \(-0.255251\pi\) | |||||||
\(128\) | −1.05471 | + | 10.0349i | −0.0932241 | + | 0.886968i | ||||
\(129\) | −1.88761 | − | 2.59808i | −0.166195 | − | 0.228748i | ||||
\(130\) | −2.04468 | − | 2.27085i | −0.179330 | − | 0.199167i | ||||
\(131\) | −10.6180 | + | 18.3910i | −0.927702 | + | 1.60683i | −0.140545 | + | 0.990074i | \(0.544885\pi\) |
−0.787157 | + | 0.616753i | \(0.788448\pi\) | |||||||
\(132\) | 6.16176 | − | 8.68773i | 0.536312 | − | 0.756170i | ||||
\(133\) | 0.500000 | + | 0.866025i | 0.0433555 | + | 0.0750939i | ||||
\(134\) | −0.708204 | + | 2.17963i | −0.0611795 | + | 0.188291i | ||||
\(135\) | 6.38761 | − | 0.671365i | 0.549758 | − | 0.0577819i | ||||
\(136\) | −5.78115 | − | 4.20025i | −0.495730 | − | 0.360169i | ||||
\(137\) | −5.76659 | + | 6.40445i | −0.492673 | + | 0.547169i | −0.937289 | − | 0.348552i | \(-0.886673\pi\) |
0.444616 | + | 0.895721i | \(0.353340\pi\) | |||||||
\(138\) | −0.635216 | + | 2.98846i | −0.0540732 | + | 0.254394i | ||||
\(139\) | 8.86889 | − | 3.94868i | 0.752249 | − | 0.334923i | 0.00546112 | − | 0.999985i | \(-0.498262\pi\) |
0.746788 | + | 0.665062i | \(0.231595\pi\) | |||||||
\(140\) | 0.239558 | + | 2.27924i | 0.0202463 | + | 0.192631i | ||||
\(141\) | 19.6755 | + | 6.39297i | 1.65698 | + | 0.538385i | ||||
\(142\) | −0.555728 | − | 0.962549i | −0.0466357 | − | 0.0807753i | ||||
\(143\) | 19.7082 | + | 8.50651i | 1.64808 | + | 0.711350i | ||||
\(144\) | 4.71885 | − | 8.17328i | 0.393237 | − | 0.681107i | ||||
\(145\) | 1.85410 | − | 5.70634i | 0.153975 | − | 0.473886i | ||||
\(146\) | 0.0509101 | + | 0.0226667i | 0.00421335 | + | 0.00187591i | ||||
\(147\) | 10.3354 | + | 1.08629i | 0.852447 | + | 0.0895958i | ||||
\(148\) | −9.23146 | − | 1.96221i | −0.758821 | − | 0.161292i | ||||
\(149\) | 14.8486 | + | 3.15617i | 1.21645 | + | 0.258564i | 0.771053 | − | 0.636772i | \(-0.219731\pi\) |
0.445393 | + | 0.895335i | \(0.353064\pi\) | |||||||
\(150\) | −2.28453 | − | 0.240114i | −0.186531 | − | 0.0196052i | ||||
\(151\) | 3.95222 | + | 1.75964i | 0.321627 | + | 0.143197i | 0.561199 | − | 0.827681i | \(-0.310340\pi\) |
−0.239572 | + | 0.970879i | \(0.577007\pi\) | |||||||
\(152\) | 0.454915 | − | 1.40008i | 0.0368985 | − | 0.113562i | ||||
\(153\) | 7.28115 | + | 12.6113i | 0.588646 | + | 1.01957i | ||||
\(154\) | 0.645898 | + | 1.08981i | 0.0520479 | + | 0.0878197i | ||||
\(155\) | 0.381966 | + | 0.661585i | 0.0306802 | + | 0.0531397i | ||||
\(156\) | 19.7673 | + | 6.42280i | 1.58265 | + | 0.514235i | ||||
\(157\) | −0.746950 | − | 7.10675i | −0.0596131 | − | 0.567181i | −0.983038 | − | 0.183402i | \(-0.941289\pi\) |
0.923425 | − | 0.383779i | \(-0.125378\pi\) | |||||||
\(158\) | −3.68565 | + | 1.64096i | −0.293214 | + | 0.130547i | ||||
\(159\) | 1.47293 | − | 6.92957i | 0.116811 | − | 0.549551i | ||||
\(160\) | 3.42903 | − | 3.80833i | 0.271089 | − | 0.301075i | ||||
\(161\) | 3.73607 | + | 2.71441i | 0.294443 | + | 0.213926i | ||||
\(162\) | 2.78115 | − | 2.02063i | 0.218508 | − | 0.158755i | ||||
\(163\) | 6.39919 | − | 19.6947i | 0.501223 | − | 1.54261i | −0.305806 | − | 0.952094i | \(-0.598926\pi\) |
0.807029 | − | 0.590512i | \(-0.201074\pi\) | |||||||
\(164\) | −2.34346 | − | 4.05899i | −0.182993 | − | 0.316954i | ||||
\(165\) | −6.72766 | + | 2.27115i | −0.523747 | + | 0.176809i | ||||
\(166\) | −1.86475 | + | 3.22983i | −0.144732 | + | 0.250684i | ||||
\(167\) | −3.85682 | − | 4.28344i | −0.298450 | − | 0.331462i | 0.575204 | − | 0.818010i | \(-0.304923\pi\) |
−0.873654 | + | 0.486548i | \(0.838256\pi\) | |||||||
\(168\) | 1.49874 | + | 2.06284i | 0.115631 | + | 0.159152i | ||||
\(169\) | −3.01968 | + | 28.7303i | −0.232283 | + | 2.21002i | ||||
\(170\) | 0.708204 | + | 2.17963i | 0.0543168 | + | 0.167170i | ||||
\(171\) | −2.00739 | + | 2.22943i | −0.153509 | + | 0.170489i | ||||
\(172\) | 2.78115 | + | 2.02063i | 0.212061 | + | 0.154071i | ||||
\(173\) | −21.0939 | − | 9.39162i | −1.60374 | − | 0.714032i | −0.607000 | − | 0.794702i | \(-0.707627\pi\) |
−0.996741 | + | 0.0806702i | \(0.974294\pi\) | |||||||
\(174\) | −0.667687 | − | 3.14122i | −0.0506172 | − | 0.238135i | ||||
\(175\) | −1.73607 | + | 3.00696i | −0.131234 | + | 0.227305i | ||||
\(176\) | −3.11076 | + | 9.95925i | −0.234482 | + | 0.750707i | ||||
\(177\) | 2.42705 | − | 1.40126i | 0.182428 | − | 0.105325i | ||||
\(178\) | −2.52713 | + | 0.537159i | −0.189417 | + | 0.0402618i | ||||
\(179\) | 4.09017 | − | 2.97168i | 0.305714 | − | 0.222114i | −0.424341 | − | 0.905502i | \(-0.639494\pi\) |
0.730055 | + | 0.683388i | \(0.239494\pi\) | |||||||
\(180\) | −6.28098 | + | 2.79647i | −0.468157 | + | 0.208437i | ||||
\(181\) | −3.06231 | − | 9.42481i | −0.227619 | − | 0.700540i | −0.998015 | − | 0.0629745i | \(-0.979941\pi\) |
0.770396 | − | 0.637566i | \(-0.220059\pi\) | |||||||
\(182\) | −1.65418 | + | 1.83716i | −0.122616 | + | 0.136179i | ||||
\(183\) | 11.0503 | − | 15.2094i | 0.816860 | − | 1.12431i | ||||
\(184\) | −0.710624 | − | 6.76113i | −0.0523879 | − | 0.498437i | ||||
\(185\) | 4.21003 | + | 4.67572i | 0.309528 | + | 0.343765i | ||||
\(186\) | 0.354102 | + | 0.204441i | 0.0259640 | + | 0.0149903i | ||||
\(187\) | −10.9083 | − | 11.8403i | −0.797696 | − | 0.865852i | ||||
\(188\) | −22.1459 | −1.61516 | ||||||||
\(189\) | −1.08034 | − | 5.08260i | −0.0785832 | − | 0.369705i | ||||
\(190\) | −0.381966 | + | 0.277515i | −0.0277107 | + | 0.0201330i | ||||
\(191\) | −0.621346 | + | 5.91171i | −0.0449590 | + | 0.427756i | 0.948772 | + | 0.315961i | \(0.102327\pi\) |
−0.993731 | + | 0.111795i | \(0.964340\pi\) | |||||||
\(192\) | −1.69549 | + | 7.97665i | −0.122361 | + | 0.575665i | ||||
\(193\) | 10.7596 | + | 2.28703i | 0.774495 | + | 0.164624i | 0.578171 | − | 0.815915i | \(-0.303766\pi\) |
0.196323 | + | 0.980539i | \(0.437100\pi\) | |||||||
\(194\) | −2.09366 | + | 0.932157i | −0.150316 | + | 0.0669250i | ||||
\(195\) | −8.14459 | − | 11.2101i | −0.583246 | − | 0.802770i | ||||
\(196\) | −10.8815 | + | 2.31294i | −0.777251 | + | 0.165210i | ||||
\(197\) | 8.23607 | 0.586796 | 0.293398 | − | 0.955990i | \(-0.405214\pi\) | ||||
0.293398 | + | 0.955990i | \(0.405214\pi\) | |||||||
\(198\) | −2.51064 | + | 2.85317i | −0.178424 | + | 0.202766i | ||||
\(199\) | −7.14590 | −0.506559 | −0.253280 | − | 0.967393i | \(-0.581509\pi\) | ||||
−0.253280 | + | 0.967393i | \(0.581509\pi\) | |||||||
\(200\) | 4.99976 | − | 1.06273i | 0.353536 | − | 0.0751465i | ||||
\(201\) | −4.22693 | + | 9.49384i | −0.298145 | + | 0.669644i | ||||
\(202\) | 2.95630 | − | 1.31623i | 0.208004 | − | 0.0926094i | ||||
\(203\) | −4.74803 | − | 1.00922i | −0.333246 | − | 0.0708337i | ||||
\(204\) | −11.5845 | − | 10.4307i | −0.811076 | − | 0.730296i | ||||
\(205\) | −0.326611 | + | 3.10749i | −0.0228115 | + | 0.217037i | ||||
\(206\) | −3.16312 | + | 2.29814i | −0.220385 | + | 0.160119i | ||||
\(207\) | −4.28115 | + | 13.1760i | −0.297561 | + | 0.915798i | ||||
\(208\) | −20.3607 | −1.41176 | ||||||||
\(209\) | 1.62543 | − | 2.89102i | 0.112433 | − | 0.199976i | ||||
\(210\) | − | 0.817763i | − | 0.0564310i | ||||||
\(211\) | 13.6985 | + | 15.2138i | 0.943046 | + | 1.04736i | 0.998803 | + | 0.0489142i | \(0.0155761\pi\) |
−0.0557571 | + | 0.998444i | \(0.517757\pi\) | |||||||
\(212\) | 0.792701 | + | 7.54205i | 0.0544429 | + | 0.517990i | ||||
\(213\) | −2.04994 | − | 4.60424i | −0.140460 | − | 0.315478i | ||||
\(214\) | −3.58699 | + | 3.98376i | −0.245202 | + | 0.272324i | ||||
\(215\) | −0.708204 | − | 2.17963i | −0.0482991 | − | 0.148649i | ||||
\(216\) | −4.49623 | + | 6.18853i | −0.305930 | + | 0.421076i | ||||
\(217\) | 0.500000 | − | 0.363271i | 0.0339422 | − | 0.0246605i | ||||
\(218\) | 2.66984 | − | 0.567493i | 0.180825 | − | 0.0384355i | ||||
\(219\) | 0.218847 | + | 0.126351i | 0.0147883 | + | 0.00853804i | ||||
\(220\) | 6.09797 | − | 4.53766i | 0.411125 | − | 0.305929i | ||||
\(221\) | 15.7082 | − | 27.2074i | 1.05665 | − | 1.83017i | ||||
\(222\) | 3.20276 | + | 1.04064i | 0.214955 | + | 0.0698431i | ||||
\(223\) | −14.1660 | − | 6.30709i | −0.948623 | − | 0.422354i | −0.126693 | − | 0.991942i | \(-0.540436\pi\) |
−0.821930 | + | 0.569588i | \(0.807103\pi\) | |||||||
\(224\) | −3.35410 | − | 2.43690i | −0.224105 | − | 0.162822i | ||||
\(225\) | −10.1888 | − | 2.16569i | −0.679252 | − | 0.144380i | ||||
\(226\) | −2.03444 | − | 6.26137i | −0.135329 | − | 0.416500i | ||||
\(227\) | 1.73706 | − | 16.5270i | 0.115293 | − | 1.09694i | −0.771966 | − | 0.635664i | \(-0.780727\pi\) |
0.887259 | − | 0.461272i | \(-0.152607\pi\) | |||||||
\(228\) | 1.30619 | − | 2.93376i | 0.0865048 | − | 0.194293i | ||||
\(229\) | 6.81198 | + | 7.56547i | 0.450148 | + | 0.499940i | 0.924916 | − | 0.380171i | \(-0.124135\pi\) |
−0.474768 | + | 0.880111i | \(0.657468\pi\) | |||||||
\(230\) | −1.09017 | + | 1.88823i | −0.0718837 | + | 0.124506i | ||||
\(231\) | 2.39626 | + | 5.22091i | 0.157662 | + | 0.343511i | ||||
\(232\) | 3.57295 | + | 6.18853i | 0.234576 | + | 0.406297i | ||||
\(233\) | −3.43769 | + | 10.5801i | −0.225211 | + | 0.693128i | 0.773059 | + | 0.634334i | \(0.218725\pi\) |
−0.998270 | + | 0.0587939i | \(0.981275\pi\) | |||||||
\(234\) | −6.77523 | − | 3.01652i | −0.442910 | − | 0.197196i | ||||
\(235\) | 11.9443 | + | 8.67802i | 0.779158 | + | 0.566092i | ||||
\(236\) | −2.00739 | + | 2.22943i | −0.130670 | + | 0.145124i | ||||
\(237\) | −17.3991 | + | 5.65330i | −1.13019 | + | 0.367221i | ||||
\(238\) | 1.69381 | − | 0.754131i | 0.109793 | − | 0.0488831i | ||||
\(239\) | −1.09464 | − | 10.4148i | −0.0708061 | − | 0.673675i | −0.971146 | − | 0.238487i | \(-0.923349\pi\) |
0.900340 | − | 0.435188i | \(-0.143318\pi\) | |||||||
\(240\) | 5.00520 | − | 4.50670i | 0.323084 | − | 0.290906i | ||||
\(241\) | 13.4164 | + | 23.2379i | 0.864227 | + | 1.49688i | 0.867813 | + | 0.496891i | \(0.165525\pi\) |
−0.00358606 | + | 0.999994i | \(0.501141\pi\) | |||||||
\(242\) | 2.01722 | − | 3.68571i | 0.129672 | − | 0.236927i | ||||
\(243\) | 13.5000 | − | 7.79423i | 0.866025 | − | 0.500000i | ||||
\(244\) | −6.21885 | + | 19.1396i | −0.398121 | + | 1.22529i | ||||
\(245\) | 6.77523 | + | 3.01652i | 0.432853 | + | 0.192719i | ||||
\(246\) | 0.680225 | + | 1.52781i | 0.0433695 | + | 0.0974096i | ||||
\(247\) | 6.33070 | + | 1.34563i | 0.402813 | + | 0.0856206i | ||||
\(248\) | −0.889948 | − | 0.189164i | −0.0565118 | − | 0.0120119i | ||||
\(249\) | −9.94040 | + | 13.6818i | −0.629948 | + | 0.867048i | ||||
\(250\) | −3.65418 | − | 1.62695i | −0.231111 | − | 0.102897i | ||||
\(251\) | 6.35410 | − | 19.5559i | 0.401067 | − | 1.23436i | −0.523067 | − | 0.852291i | \(-0.675212\pi\) |
0.924135 | − | 0.382067i | \(-0.124788\pi\) | |||||||
\(252\) | 2.78115 | + | 4.81710i | 0.175196 | + | 0.303449i | ||||
\(253\) | 1.42705 | − | 15.2497i | 0.0897179 | − | 0.958738i | ||||
\(254\) | −2.01722 | − | 3.49393i | −0.126572 | − | 0.219229i | ||||
\(255\) | 2.16068 | + | 10.1652i | 0.135307 | + | 0.636570i | ||||
\(256\) | −0.581419 | − | 5.53184i | −0.0363387 | − | 0.345740i | ||||
\(257\) | −13.6208 | + | 6.06437i | −0.849643 | + | 0.378285i | −0.784904 | − | 0.619617i | \(-0.787288\pi\) |
−0.0647383 | + | 0.997902i | \(0.520621\pi\) | |||||||
\(258\) | −0.911575 | − | 0.820786i | −0.0567522 | − | 0.0510999i | ||||
\(259\) | 3.40599 | − | 3.78273i | 0.211638 | − | 0.235048i | ||||
\(260\) | 12.0000 | + | 8.71851i | 0.744208 | + | 0.540699i | ||||
\(261\) | −1.52218 | − | 14.4825i | −0.0942203 | − | 0.896446i | ||||
\(262\) | −2.50658 | + | 7.71445i | −0.154857 | + | 0.476601i | ||||
\(263\) | 6.35410 | + | 11.0056i | 0.391811 | + | 0.678636i | 0.992688 | − | 0.120705i | \(-0.0385155\pi\) |
−0.600878 | + | 0.799341i | \(0.705182\pi\) | |||||||
\(264\) | 3.35129 | − | 7.76440i | 0.206258 | − | 0.477866i | ||||
\(265\) | 2.52786 | − | 4.37839i | 0.155285 | − | 0.268962i | ||||
\(266\) | 0.255585 | + | 0.283856i | 0.0156709 | + | 0.0174043i | ||||
\(267\) | −11.6513 | + | 1.22460i | −0.713048 | + | 0.0749443i | ||||
\(268\) | 1.16284 | − | 11.0637i | 0.0710317 | − | 0.675821i | ||||
\(269\) | −6.57295 | − | 20.2295i | −0.400760 | − | 1.23341i | −0.924384 | − | 0.381463i | \(-0.875421\pi\) |
0.523625 | − | 0.851949i | \(-0.324579\pi\) | |||||||
\(270\) | 2.33322 | − | 0.758108i | 0.141995 | − | 0.0461370i | ||||
\(271\) | −8.70820 | − | 6.32688i | −0.528986 | − | 0.384331i | 0.290993 | − | 0.956725i | \(-0.406015\pi\) |
−0.819978 | + | 0.572395i | \(0.806015\pi\) | |||||||
\(272\) | 13.9503 | + | 6.21108i | 0.845861 | + | 0.376602i | ||||
\(273\) | −8.33070 | + | 7.50100i | −0.504197 | + | 0.453981i | ||||
\(274\) | −1.64590 | + | 2.85078i | −0.0994323 | + | 0.172222i | ||||
\(275\) | 11.5150 | − | 0.131418i | 0.694382 | − | 0.00792483i | ||||
\(276\) | − | 14.8303i | − | 0.892682i | ||||||
\(277\) | 18.8157 | − | 3.99940i | 1.13053 | − | 0.240301i | 0.395584 | − | 0.918430i | \(-0.370542\pi\) |
0.734943 | + | 0.678129i | \(0.237209\pi\) | |||||||
\(278\) | 3.00000 | − | 2.17963i | 0.179928 | − | 0.130725i | ||||
\(279\) | 1.50000 | + | 1.08981i | 0.0898027 | + | 0.0652454i | ||||
\(280\) | 0.562306 | + | 1.73060i | 0.0336042 | + | 0.103423i | ||||
\(281\) | −6.24047 | + | 6.93075i | −0.372275 | + | 0.413454i | −0.899950 | − | 0.435993i | \(-0.856397\pi\) |
0.527675 | + | 0.849446i | \(0.323064\pi\) | |||||||
\(282\) | 7.85886 | + | 0.825999i | 0.467988 | + | 0.0491875i | ||||
\(283\) | 1.77698 | + | 16.9069i | 0.105631 | + | 1.00501i | 0.911048 | + | 0.412301i | \(0.135275\pi\) |
−0.805417 | + | 0.592708i | \(0.798059\pi\) | |||||||
\(284\) | 3.61004 | + | 4.00936i | 0.214217 | + | 0.237912i | ||||
\(285\) | −1.85410 | + | 1.07047i | −0.109828 | + | 0.0634089i | ||||
\(286\) | 8.03891 | + | 1.61306i | 0.475351 | + | 0.0953824i | ||||
\(287\) | 2.52786 | 0.149215 | ||||||||
\(288\) | 3.84346 | − | 11.8290i | 0.226478 | − | 0.697028i | ||||
\(289\) | −5.30902 | + | 3.85723i | −0.312295 | + | 0.226896i | ||||
\(290\) | 0.239558 | − | 2.27924i | 0.0140673 | − | 0.133842i | ||||
\(291\) | −9.88367 | + | 3.21140i | −0.579391 | + | 0.188256i | ||||
\(292\) | −0.264599 | − | 0.0562422i | −0.0154845 | − | 0.00329132i | ||||
\(293\) | −26.6576 | + | 11.8687i | −1.55735 | + | 0.693378i | −0.991376 | − | 0.131045i | \(-0.958167\pi\) |
−0.565975 | + | 0.824422i | \(0.691500\pi\) | |||||||
\(294\) | 3.94776 | − | 0.414926i | 0.230238 | − | 0.0241990i | ||||
\(295\) | 1.95630 | − | 0.415823i | 0.113900 | − | 0.0242102i | ||||
\(296\) | −7.49342 | −0.435546 | ||||||||
\(297\) | −12.6747 | + | 11.6770i | −0.735460 | + | 0.677568i | ||||
\(298\) | 5.79837 | 0.335891 | ||||||||
\(299\) | 29.2354 | − | 6.21418i | 1.69073 | − | 0.359375i | ||||
\(300\) | 11.0893 | − | 1.16554i | 0.640243 | − | 0.0672922i | ||||
\(301\) | −1.69381 | + | 0.754131i | −0.0976294 | + | 0.0434674i | ||||
\(302\) | 1.61637 | + | 0.343569i | 0.0930114 | + | 0.0197702i | ||||
\(303\) | 13.9560 | − | 4.53457i | 0.801749 | − | 0.260504i | ||||
\(304\) | −0.328836 | + | 3.12866i | −0.0188600 | + | 0.179441i | ||||
\(305\) | 10.8541 | − | 7.88597i | 0.621504 | − | 0.451549i | ||||
\(306\) | 3.72191 | + | 4.13360i | 0.212767 | + | 0.236302i | ||||
\(307\) | 7.85410 | 0.448257 | 0.224129 | − | 0.974560i | \(-0.428046\pi\) | ||||
0.224129 | + | 0.974560i | \(0.428046\pi\) | |||||||
\(308\) | −4.16661 | − | 4.52261i | −0.237415 | − | 0.257700i | ||||
\(309\) | −15.3541 | + | 8.86469i | −0.873464 | + | 0.504295i | ||||
\(310\) | 0.195250 | + | 0.216847i | 0.0110894 | + | 0.0123161i | ||||
\(311\) | −1.58678 | − | 15.0972i | −0.0899779 | − | 0.856083i | −0.942683 | − | 0.333690i | \(-0.891706\pi\) |
0.852705 | − | 0.522393i | \(-0.174960\pi\) | |||||||
\(312\) | 16.4123 | + | 1.72501i | 0.929166 | + | 0.0976593i | ||||
\(313\) | 2.32331 | − | 2.58030i | 0.131321 | − | 0.145847i | −0.673898 | − | 0.738825i | \(-0.735381\pi\) |
0.805219 | + | 0.592978i | \(0.202048\pi\) | |||||||
\(314\) | −0.843459 | − | 2.59590i | −0.0475991 | − | 0.146495i | ||||
\(315\) | 0.387613 | − | 3.68789i | 0.0218395 | − | 0.207789i | ||||
\(316\) | 15.8435 | − | 11.5109i | 0.891264 | − | 0.647541i | ||||
\(317\) | −20.4866 | + | 4.35456i | −1.15064 | + | 0.244576i | −0.743466 | − | 0.668774i | \(-0.766820\pi\) |
−0.407175 | + | 0.913350i | \(0.633486\pi\) | |||||||
\(318\) | − | 2.70599i | − | 0.151745i | ||||||
\(319\) | 5.14935 | + | 15.2535i | 0.288308 | + | 0.854033i | ||||
\(320\) | −2.90983 | + | 5.03997i | −0.162664 | + | 0.281743i | ||||
\(321\) | −18.0646 | + | 16.2655i | −1.00827 | + | 0.907850i | ||||
\(322\) | 1.61143 | + | 0.717456i | 0.0898016 | + | 0.0399822i | ||||
\(323\) | −3.92705 | − | 2.85317i | −0.218507 | − | 0.158755i | ||||
\(324\) | −11.1657 | + | 12.4008i | −0.620318 | + | 0.688933i | ||||
\(325\) | 6.94427 | + | 21.3723i | 0.385199 | + | 1.18552i | ||||
\(326\) | 0.826802 | − | 7.86650i | 0.0457923 | − | 0.435685i | ||||
\(327\) | 12.3093 | − | 1.29375i | 0.680703 | − | 0.0715448i | ||||
\(328\) | −2.49008 | − | 2.76551i | −0.137491 | − | 0.152700i | ||||
\(329\) | 5.97214 | − | 10.3440i | 0.329255 | − | 0.570286i | ||||
\(330\) | −2.33322 | + | 1.38282i | −0.128439 | + | 0.0761220i | ||||
\(331\) | −7.20820 | − | 12.4850i | −0.396199 | − | 0.686236i | 0.597055 | − | 0.802201i | \(-0.296338\pi\) |
−0.993253 | + | 0.115964i | \(0.963004\pi\) | |||||||
\(332\) | 5.59424 | − | 17.2173i | 0.307024 | − | 0.944921i | ||||
\(333\) | 13.9503 | + | 6.21108i | 0.764472 | + | 0.340365i | ||||
\(334\) | −1.78115 | − | 1.29408i | −0.0974604 | − | 0.0708091i | ||||
\(335\) | −4.96255 | + | 5.51147i | −0.271133 | + | 0.301124i | ||||
\(336\) | −4.04929 | − | 3.64600i | −0.220907 | − | 0.198905i | ||||
\(337\) | −10.4803 | + | 4.66614i | −0.570899 | + | 0.254181i | −0.671821 | − | 0.740714i | \(-0.734488\pi\) |
0.100922 | + | 0.994894i | \(0.467821\pi\) | |||||||
\(338\) | 1.15341 | + | 10.9740i | 0.0627374 | + | 0.596907i | ||||
\(339\) | −6.20694 | − | 29.2014i | −0.337115 | − | 1.58600i | ||||
\(340\) | −5.56231 | − | 9.63420i | −0.301658 | − | 0.522488i | ||||
\(341\) | −1.88197 | − | 0.812299i | −0.101914 | − | 0.0439885i | ||||
\(342\) | −0.572949 | + | 0.992377i | −0.0309815 | + | 0.0536616i | ||||
\(343\) | 4.01722 | − | 12.3637i | 0.216910 | − | 0.667579i | ||||
\(344\) | 2.49351 | + | 1.11018i | 0.134441 | + | 0.0598571i | ||||
\(345\) | −5.81137 | + | 7.99867i | −0.312874 | + | 0.430634i | ||||
\(346\) | −8.62693 | − | 1.83371i | −0.463787 | − | 0.0985809i | ||||
\(347\) | 8.69431 | + | 1.84803i | 0.466735 | + | 0.0992076i | 0.435275 | − | 0.900297i | \(-0.356651\pi\) |
0.0314597 | + | 0.999505i | \(0.489984\pi\) | |||||||
\(348\) | 6.34040 | + | 14.2408i | 0.339881 | + | 0.763385i | ||||
\(349\) | −3.78747 | − | 1.68629i | −0.202738 | − | 0.0902650i | 0.302856 | − | 0.953036i | \(-0.402060\pi\) |
−0.505594 | + | 0.862771i | \(0.668727\pi\) | |||||||
\(350\) | −0.409830 | + | 1.26133i | −0.0219063 | + | 0.0674208i | ||||
\(351\) | −29.1246 | − | 16.8151i | −1.55456 | − | 0.897524i | ||||
\(352\) | −1.28115 | + | 13.6906i | −0.0682857 | + | 0.729710i | ||||
\(353\) | 8.20820 | + | 14.2170i | 0.436879 | + | 0.756696i | 0.997447 | − | 0.0714123i | \(-0.0227506\pi\) |
−0.560568 | + | 0.828108i | \(0.689417\pi\) | |||||||
\(354\) | 0.795511 | − | 0.716282i | 0.0422810 | − | 0.0380699i | ||||
\(355\) | −0.375963 | − | 3.57704i | −0.0199540 | − | 0.189850i | ||||
\(356\) | 11.4568 | − | 5.10089i | 0.607209 | − | 0.270347i | ||||
\(357\) | 7.99606 | − | 2.59808i | 0.423196 | − | 0.137505i | ||||
\(358\) | 1.29217 | − | 1.43510i | 0.0682933 | − | 0.0758473i | ||||
\(359\) | 18.4894 | + | 13.4333i | 0.975831 | + | 0.708983i | 0.956773 | − | 0.290836i | \(-0.0939333\pi\) |
0.0190579 | + | 0.999818i | \(0.493933\pi\) | |||||||
\(360\) | −4.41641 | + | 3.20871i | −0.232765 | + | 0.169114i | ||||
\(361\) | −5.56231 | + | 17.1190i | −0.292753 | + | 0.901001i | ||||
\(362\) | −1.89261 | − | 3.27810i | −0.0994733 | − | 0.172293i | ||||
\(363\) | 10.8441 | − | 15.6654i | 0.569168 | − | 0.822221i | ||||
\(364\) | 6.00000 | − | 10.3923i | 0.314485 | − | 0.544705i | ||||
\(365\) | 0.120671 | + | 0.134019i | 0.00631621 | + | 0.00701486i | ||||
\(366\) | 2.92074 | − | 6.56008i | 0.152669 | − | 0.342901i | ||||
\(367\) | 1.32837 | − | 12.6386i | 0.0693403 | − | 0.659729i | −0.903553 | − | 0.428476i | \(-0.859051\pi\) |
0.972894 | − | 0.231253i | \(-0.0742826\pi\) | |||||||
\(368\) | 4.48936 | + | 13.8168i | 0.234024 | + | 0.720252i | ||||
\(369\) | 2.34346 | + | 7.21242i | 0.121996 | + | 0.375464i | ||||
\(370\) | 1.94427 | + | 1.41260i | 0.101078 | + | 0.0734374i | ||||
\(371\) | −3.73656 | − | 1.66362i | −0.193992 | − | 0.0863710i | ||||
\(372\) | −1.88761 | − | 0.613323i | −0.0978682 | − | 0.0317993i | ||||
\(373\) | 2.82624 | − | 4.89519i | 0.146337 | − | 0.253463i | −0.783534 | − | 0.621349i | \(-0.786585\pi\) |
0.929871 | + | 0.367886i | \(0.119918\pi\) | |||||||
\(374\) | −5.01586 | − | 3.55749i | −0.259364 | − | 0.183954i | ||||
\(375\) | −15.7082 | − | 9.06914i | −0.811168 | − | 0.468328i | ||||
\(376\) | −17.1993 | + | 3.65583i | −0.886989 | + | 0.188535i | ||||
\(377\) | −25.4164 | + | 18.4661i | −1.30901 | + | 0.951053i | ||||
\(378\) | −0.807272 | − | 1.81316i | −0.0415216 | − | 0.0932590i | ||||
\(379\) | 4.88197 | + | 15.0251i | 0.250770 | + | 0.771790i | 0.994634 | + | 0.103459i | \(0.0329910\pi\) |
−0.743864 | + | 0.668331i | \(0.767009\pi\) | |||||||
\(380\) | 1.53351 | − | 1.70314i | 0.0786674 | − | 0.0873691i | ||||
\(381\) | −7.44102 | − | 16.7128i | −0.381215 | − | 0.856223i | ||||
\(382\) | 0.237333 | + | 2.25807i | 0.0121430 | + | 0.115533i | ||||
\(383\) | 13.2850 | + | 14.7545i | 0.678831 | + | 0.753918i | 0.979858 | − | 0.199697i | \(-0.0639959\pi\) |
−0.301026 | + | 0.953616i | \(0.597329\pi\) | |||||||
\(384\) | 17.4767i | 0.891853i | ||||||||
\(385\) | 0.475022 | + | 4.07196i | 0.0242094 | + | 0.207526i | ||||
\(386\) | 4.20163 | 0.213857 | ||||||||
\(387\) | −3.72191 | − | 4.13360i | −0.189195 | − | 0.210123i | ||||
\(388\) | 9.00000 | − | 6.53888i | 0.456906 | − | 0.331961i | ||||
\(389\) | 2.36783 | − | 22.5284i | 0.120054 | − | 1.14223i | −0.754159 | − | 0.656692i | \(-0.771955\pi\) |
0.874213 | − | 0.485543i | \(-0.161378\pi\) | |||||||
\(390\) | −3.93323 | − | 3.54149i | −0.199167 | − | 0.179330i | ||||
\(391\) | −21.9266 | − | 4.66063i | −1.10887 | − | 0.235698i | ||||
\(392\) | −8.06918 | + | 3.59263i | −0.407555 | + | 0.181455i | ||||
\(393\) | −14.9606 | + | 33.6020i | −0.754661 | + | 1.69500i | ||||
\(394\) | 3.07715 | − | 0.654069i | 0.155025 | − | 0.0329515i | ||||
\(395\) | −13.0557 | −0.656905 | ||||||||
\(396\) | 9.04112 | − | 16.0807i | 0.454333 | − | 0.808087i | ||||
\(397\) | −2.12461 | −0.106631 | −0.0533156 | − | 0.998578i | \(-0.516979\pi\) | ||||
−0.0533156 | + | 0.998578i | \(0.516979\pi\) | |||||||
\(398\) | −2.66984 | + | 0.567493i | −0.133827 | + | 0.0284458i | ||||
\(399\) | 1.01807 | + | 1.40126i | 0.0509674 | + | 0.0701507i | ||||
\(400\) | −9.97864 | + | 4.44278i | −0.498932 | + | 0.222139i | ||||
\(401\) | −14.2441 | − | 3.02767i | −0.711316 | − | 0.151195i | −0.161977 | − | 0.986795i | \(-0.551787\pi\) |
−0.549339 | + | 0.835600i | \(0.685120\pi\) | |||||||
\(402\) | −0.825307 | + | 3.88276i | −0.0411626 | + | 0.193655i | ||||
\(403\) | 0.418114 | − | 3.97809i | 0.0208277 | − | 0.198163i | ||||
\(404\) | −12.7082 | + | 9.23305i | −0.632257 | + | 0.459361i | ||||
\(405\) | 10.8815 | − | 2.31294i | 0.540707 | − | 0.114931i | ||||
\(406\) | −1.85410 | −0.0920175 | ||||||||
\(407\) | −16.5522 | − | 3.32132i | −0.820465 | − | 0.164632i | ||||
\(408\) | −10.7188 | − | 6.18853i | −0.530662 | − | 0.306378i | ||||
\(409\) | −22.5782 | − | 25.0757i | −1.11642 | − | 1.23991i | −0.967990 | − | 0.250990i | \(-0.919244\pi\) |
−0.148432 | − | 0.988923i | \(-0.547423\pi\) | |||||||
\(410\) | 0.124754 | + | 1.18696i | 0.00616117 | + | 0.0586196i | ||||
\(411\) | −8.77380 | + | 12.0761i | −0.432779 | + | 0.595670i | ||||
\(412\) | 12.6992 | − | 14.1039i | 0.625647 | − | 0.694851i | ||||
\(413\) | −0.500000 | − | 1.53884i | −0.0246034 | − | 0.0757215i | ||||
\(414\) | −0.553143 | + | 5.26281i | −0.0271855 | + | 0.258653i | ||||
\(415\) | −9.76393 | + | 7.09391i | −0.479293 | + | 0.348226i | ||||
\(416\) | −26.2465 | + | 5.57886i | −1.28684 | + | 0.273526i | ||||
\(417\) | 14.5623 | − | 8.40755i | 0.713119 | − | 0.411720i | ||||
\(418\) | 0.377699 | − | 1.20922i | 0.0184739 | − | 0.0591451i | ||||
\(419\) | −4.04508 | + | 7.00629i | −0.197615 | + | 0.342280i | −0.947755 | − | 0.319000i | \(-0.896653\pi\) |
0.750139 | + | 0.661280i | \(0.229986\pi\) | |||||||
\(420\) | 0.825307 | + | 3.88276i | 0.0402709 | + | 0.189459i | ||||
\(421\) | 9.35111 | + | 4.16338i | 0.455745 | + | 0.202911i | 0.621753 | − | 0.783214i | \(-0.286421\pi\) |
−0.166007 | + | 0.986125i | \(0.553088\pi\) | |||||||
\(422\) | 6.32624 | + | 4.59628i | 0.307956 | + | 0.223743i | ||||
\(423\) | 35.0498 | + | 7.45006i | 1.70418 | + | 0.362234i | ||||
\(424\) | 1.86068 | + | 5.72658i | 0.0903626 | + | 0.278107i | ||||
\(425\) | 1.76173 | − | 16.7618i | 0.0854566 | − | 0.813065i | ||||
\(426\) | −1.13154 | − | 1.55744i | −0.0548235 | − | 0.0754581i | ||||
\(427\) | −7.26281 | − | 8.06617i | −0.351472 | − | 0.390349i | ||||
\(428\) | 13.0106 | − | 22.5351i | 0.628893 | − | 1.08927i | ||||
\(429\) | 35.4887 | + | 11.0848i | 1.71341 | + | 0.535182i | ||||
\(430\) | −0.437694 | − | 0.758108i | −0.0211075 | − | 0.0365592i | ||||
\(431\) | −10.5279 | + | 32.4014i | −0.507109 | + | 1.56072i | 0.290086 | + | 0.957001i | \(0.406316\pi\) |
−0.797195 | + | 0.603722i | \(0.793684\pi\) | |||||||
\(432\) | 6.64875 | − | 14.9333i | 0.319888 | − | 0.718480i | ||||
\(433\) | −11.9271 | − | 8.66551i | −0.573177 | − | 0.416438i | 0.263081 | − | 0.964774i | \(-0.415261\pi\) |
−0.836258 | + | 0.548336i | \(0.815261\pi\) | |||||||
\(434\) | 0.157960 | − | 0.175433i | 0.00758234 | − | 0.00842104i | ||||
\(435\) | 2.16068 | − | 10.1652i | 0.103597 | − | 0.487384i | ||||
\(436\) | −12.1038 | + | 5.38894i | −0.579665 | + | 0.258084i | ||||
\(437\) | −0.482716 | − | 4.59274i | −0.0230914 | − | 0.219700i | ||||
\(438\) | 0.0917997 | + | 0.0298275i | 0.00438636 | + | 0.00142521i | ||||
\(439\) | 0.354102 | + | 0.613323i | 0.0169004 | + | 0.0292723i | 0.874352 | − | 0.485292i | \(-0.161287\pi\) |
−0.857452 | + | 0.514565i | \(0.827954\pi\) | |||||||
\(440\) | 3.98684 | − | 4.53077i | 0.190065 | − | 0.215996i | ||||
\(441\) | 18.0000 | 0.857143 | ||||||||
\(442\) | 3.70820 | − | 11.4127i | 0.176381 | − | 0.542846i | ||||
\(443\) | −1.12920 | − | 0.502754i | −0.0536501 | − | 0.0238866i | 0.379736 | − | 0.925095i | \(-0.376015\pi\) |
−0.433386 | + | 0.901208i | \(0.642681\pi\) | |||||||
\(444\) | −16.2570 | − | 1.70868i | −0.771524 | − | 0.0810904i | ||||
\(445\) | −8.17798 | − | 1.73828i | −0.387673 | − | 0.0824025i | ||||
\(446\) | −5.79355 | − | 1.23146i | −0.274333 | − | 0.0583112i | ||||
\(447\) | 26.1491 | + | 2.74838i | 1.23681 | + | 0.129994i | ||||
\(448\) | 4.30116 | + | 1.91500i | 0.203211 | + | 0.0904752i | ||||
\(449\) | 2.30902 | − | 7.10642i | 0.108969 | − | 0.335373i | −0.881672 | − | 0.471862i | \(-0.843582\pi\) |
0.990642 | + | 0.136489i | \(0.0435820\pi\) | |||||||
\(450\) | −3.97871 | −0.187558 | ||||||||
\(451\) | −4.27458 | − | 7.21242i | −0.201282 | − | 0.339620i | ||||
\(452\) | 15.9787 | + | 27.6759i | 0.751575 | + | 1.30177i | ||||
\(453\) | 7.12652 | + | 2.31555i | 0.334833 | + | 0.108794i | ||||
\(454\) | −0.663497 | − | 6.31275i | −0.0311395 | − | 0.296272i | ||||
\(455\) | −7.30836 | + | 3.25389i | −0.342621 | + | 0.152545i | ||||
\(456\) | 0.530136 | − | 2.49409i | 0.0248259 | − | 0.116797i | ||||
\(457\) | −0.669131 | + | 0.743145i | −0.0313006 | + | 0.0347628i | −0.758592 | − | 0.651566i | \(-0.774112\pi\) |
0.727291 | + | 0.686329i | \(0.240779\pi\) | |||||||
\(458\) | 3.14590 | + | 2.28563i | 0.146998 | + | 0.106800i | ||||
\(459\) | 14.8255 | + | 20.4056i | 0.691995 | + | 0.952450i | ||||
\(460\) | 3.27051 | − | 10.0656i | 0.152488 | − | 0.469311i | ||||
\(461\) | 8.07295 | + | 13.9828i | 0.375995 | + | 0.651242i | 0.990475 | − | 0.137690i | \(-0.0439677\pi\) |
−0.614481 | + | 0.788932i | \(0.710634\pi\) | |||||||
\(462\) | 1.30991 | + | 1.76033i | 0.0609425 | + | 0.0818981i | ||||
\(463\) | −8.50000 | + | 14.7224i | −0.395029 | + | 0.684209i | −0.993105 | − | 0.117230i | \(-0.962599\pi\) |
0.598076 | + | 0.801439i | \(0.295932\pi\) | |||||||
\(464\) | −10.2180 | − | 11.3482i | −0.474357 | − | 0.526827i | ||||
\(465\) | 0.777739 | + | 1.07047i | 0.0360668 | + | 0.0496417i | ||||
\(466\) | −0.444165 | + | 4.22595i | −0.0205755 | + | 0.195763i | ||||
\(467\) | −0.236068 | − | 0.726543i | −0.0109239 | − | 0.0336204i | 0.945446 | − | 0.325779i | \(-0.105627\pi\) |
−0.956370 | + | 0.292159i | \(0.905627\pi\) | |||||||
\(468\) | 35.2133 | + | 7.48482i | 1.62774 | + | 0.345986i | ||||
\(469\) | 4.85410 | + | 3.52671i | 0.224142 | + | 0.162848i | ||||
\(470\) | 5.15178 | + | 2.29372i | 0.237634 | + | 0.105801i | ||||
\(471\) | −2.57334 | − | 12.1066i | −0.118573 | − | 0.557842i | ||||
\(472\) | −1.19098 | + | 2.06284i | −0.0548194 | + | 0.0949500i | ||||
\(473\) | 5.01586 | + | 3.55749i | 0.230630 | + | 0.163574i | ||||
\(474\) | −6.05166 | + | 3.49393i | −0.277962 | + | 0.160481i | ||||
\(475\) | 3.39626 | − | 0.721898i | 0.155831 | − | 0.0331229i | ||||
\(476\) | −7.28115 | + | 5.29007i | −0.333731 | + | 0.242470i | ||||
\(477\) | 1.28262 | − | 12.2033i | 0.0587270 | − | 0.558750i | ||||
\(478\) | −1.23607 | − | 3.80423i | −0.0565364 | − | 0.174001i | ||||
\(479\) | −7.87161 | + | 8.74231i | −0.359663 | + | 0.399446i | −0.895635 | − | 0.444789i | \(-0.853278\pi\) |
0.535972 | + | 0.844236i | \(0.319945\pi\) | |||||||
\(480\) | 5.21723 | − | 7.18091i | 0.238133 | − | 0.327762i | ||||
\(481\) | −3.44361 | − | 32.7638i | −0.157015 | − | 1.49390i | ||||
\(482\) | 6.85807 | + | 7.61666i | 0.312376 | + | 0.346929i | ||||
\(483\) | 6.92705 | + | 3.99933i | 0.315192 | + | 0.181976i | ||||
\(484\) | −5.85811 | + | 19.5357i | −0.266278 | + | 0.887986i | ||||
\(485\) | −7.41641 | −0.336762 | ||||||||
\(486\) | 4.42488 | − | 3.98418i | 0.200717 | − | 0.180726i | ||||
\(487\) | 10.5000 | − | 7.62870i | 0.475800 | − | 0.345689i | −0.323897 | − | 0.946092i | \(-0.604993\pi\) |
0.799698 | + | 0.600403i | \(0.204993\pi\) | |||||||
\(488\) | −1.67023 | + | 15.8912i | −0.0756078 | + | 0.719360i | ||||
\(489\) | 7.45731 | − | 35.0839i | 0.337231 | − | 1.58655i | ||||
\(490\) | 2.77091 | + | 0.588976i | 0.125177 | + | 0.0266072i | ||||
\(491\) | 6.69285 | − | 2.97985i | 0.302044 | − | 0.134479i | −0.250118 | − | 0.968215i | \(-0.580469\pi\) |
0.552162 | + | 0.833737i | \(0.313803\pi\) | |||||||
\(492\) | −4.77163 | − | 6.56758i | −0.215122 | − | 0.296090i | ||||
\(493\) | 23.0474 | − | 4.89888i | 1.03800 | − | 0.220634i | ||||
\(494\) | 2.47214 | 0.111227 | ||||||||
\(495\) | −11.1776 | + | 5.13023i | −0.502397 | + | 0.230587i | ||||
\(496\) | 1.94427 | 0.0873004 | ||||||||
\(497\) | −2.84624 | + | 0.604988i | −0.127671 | + | 0.0271374i | ||||
\(498\) | −2.62738 | + | 5.90120i | −0.117736 | + | 0.264439i | ||||
\(499\) | 35.0951 | − | 15.6254i | 1.57107 | − | 0.699487i | 0.577898 | − | 0.816109i | \(-0.303873\pi\) |
0.993176 | + | 0.116622i | \(0.0372066\pi\) | |||||||
\(500\) | 18.9921 | + | 4.03690i | 0.849353 | + | 0.180536i | ||||
\(501\) | −7.41913 | − | 6.68021i | −0.331462 | − | 0.298450i | ||||
\(502\) | 0.820977 | − | 7.81108i | 0.0366420 | − | 0.348625i | ||||
\(503\) | 7.70820 | − | 5.60034i | 0.343692 | − | 0.249707i | −0.402526 | − | 0.915409i | \(-0.631868\pi\) |
0.746218 | + | 0.665702i | \(0.231868\pi\) | |||||||
\(504\) | 2.95515 | + | 3.28203i | 0.131633 | + | 0.146193i | ||||
\(505\) | 10.4721 | 0.466004 | ||||||||
\(506\) | −0.677881 | − | 5.81089i | −0.0301355 | − | 0.258326i | ||||
\(507\) | 50.0364i | 2.22220i | ||||||||
\(508\) | 13.1040 | + | 14.5534i | 0.581395 | + | 0.645705i | ||||
\(509\) | 2.84112 | + | 27.0314i | 0.125930 | + | 1.19815i | 0.856807 | + | 0.515638i | \(0.172445\pi\) |
−0.730876 | + | 0.682510i | \(0.760888\pi\) | |||||||
\(510\) | 1.61454 | + | 3.62633i | 0.0714932 | + | 0.160576i | ||||
\(511\) | 0.0976248 | − | 0.108423i | 0.00431867 | − | 0.00479637i | ||||
\(512\) | −6.89261 | − | 21.2133i | −0.304613 | − | 0.937503i | ||||
\(513\) | −3.05422 | + | 4.20378i | −0.134847 | + | 0.185601i | ||||
\(514\) | −4.60739 | + | 3.34747i | −0.203223 | + | 0.147650i | ||||
\(515\) | −12.3760 | + | 2.63060i | −0.545351 | + | 0.115918i | ||||
\(516\) | 5.15654 | + | 2.97713i | 0.227004 | + | 0.131061i | ||||
\(517\) | −39.6121 | + | 0.452084i | −1.74214 | + | 0.0198826i | ||||
\(518\) | 0.972136 | − | 1.68379i | 0.0427132 | − | 0.0739814i | ||||
\(519\) | −38.0359 | − | 12.3586i | −1.66959 | − | 0.542483i | ||||
\(520\) | 10.7589 | + | 4.79017i | 0.471809 | + | 0.210063i | ||||
\(521\) | 32.6525 | + | 23.7234i | 1.43053 | + | 1.03934i | 0.989918 | + | 0.141645i | \(0.0452390\pi\) |
0.440613 | + | 0.897697i | \(0.354761\pi\) | |||||||
\(522\) | −1.71885 | − | 5.29007i | −0.0752319 | − | 0.231540i | ||||
\(523\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(524\) | 4.11569 | − | 39.1581i | 0.179795 | − | 1.71063i | ||||
\(525\) | −2.44608 | + | 5.49399i | −0.106756 | + | 0.239777i | ||||
\(526\) | 3.24803 | + | 3.60730i | 0.141621 | + | 0.157286i | ||||
\(527\) | −1.50000 | + | 2.59808i | −0.0653410 | + | 0.113174i | ||||
\(528\) | −3.55537 | + | 17.7186i | −0.154727 | + | 0.771104i | ||||
\(529\) | 0.836881 | + | 1.44952i | 0.0363861 | + | 0.0630226i | ||||
\(530\) | 0.596748 | − | 1.83660i | 0.0259211 | − | 0.0797768i | ||||
\(531\) | 3.92705 | − | 2.85317i | 0.170419 | − | 0.123817i | ||||
\(532\) | −1.50000 | − | 1.08981i | −0.0650332 | − | 0.0472494i | ||||
\(533\) | 10.9474 | − | 12.1584i | 0.474186 | − | 0.526637i | ||||
\(534\) | −4.25590 | + | 1.38282i | −0.184171 | + | 0.0598407i | ||||
\(535\) | −15.8478 | + | 7.05587i | −0.685158 | + | 0.305052i | ||||
\(536\) | −0.923281 | − | 8.78443i | −0.0398797 | − | 0.379430i | ||||
\(537\) | 6.50755 | − | 5.85943i | 0.280822 | − | 0.252853i | ||||
\(538\) | −4.06231 | − | 7.03612i | −0.175138 | − | 0.303349i | ||||
\(539\) | −19.4164 | + | 4.35926i | −0.836324 | + | 0.187766i | ||||
\(540\) | −10.3131 | + | 5.95426i | −0.443804 | + | 0.256231i | ||||
\(541\) | −3.68034 | + | 11.3269i | −0.158230 | + | 0.486982i | −0.998474 | − | 0.0552266i | \(-0.982412\pi\) |
0.840244 | + | 0.542209i | \(0.182412\pi\) | |||||||
\(542\) | −3.75600 | − | 1.67228i | −0.161334 | − | 0.0718306i | ||||
\(543\) | −6.98136 | − | 15.6804i | −0.299599 | − | 0.672910i | ||||
\(544\) | 19.6848 | + | 4.18414i | 0.843981 | + | 0.179394i | ||||
\(545\) | 8.63980 | + | 1.83645i | 0.370088 | + | 0.0786647i | ||||
\(546\) | −2.51682 | + | 3.46410i | −0.107710 | + | 0.148250i | ||||
\(547\) | −29.5315 | − | 13.1483i | −1.26268 | − | 0.562179i | −0.337359 | − | 0.941376i | \(-0.609534\pi\) |
−0.925316 | + | 0.379197i | \(0.876200\pi\) | |||||||
\(548\) | 4.93769 | − | 15.1967i | 0.210928 | − | 0.649169i | ||||
\(549\) | 16.2812 | − | 28.1998i | 0.694863 | − | 1.20354i | ||||
\(550\) | 4.29180 | − | 0.963568i | 0.183003 | − | 0.0410867i | ||||
\(551\) | 2.42705 | + | 4.20378i | 0.103396 | + | 0.179087i | ||||
\(552\) | −2.44819 | − | 11.5178i | −0.104202 | − | 0.490231i | ||||
\(553\) | 1.10406 | + | 10.5044i | 0.0469495 | + | 0.446694i | ||||
\(554\) | 6.71230 | − | 2.98851i | 0.285178 | − | 0.126970i | ||||
\(555\) | 8.09858 | + | 7.29199i | 0.343765 | + | 0.309528i | ||||
\(556\) | −12.0444 | + | 13.3766i | −0.510794 | + | 0.567294i | ||||
\(557\) | 0.527864 | + | 0.383516i | 0.0223663 | + | 0.0162501i | 0.598912 | − | 0.800815i | \(-0.295600\pi\) |
−0.576546 | + | 0.817065i | \(0.695600\pi\) | |||||||
\(558\) | 0.646976 | + | 0.288052i | 0.0273887 | + | 0.0121942i | ||||
\(559\) | −3.70820 | + | 11.4127i | −0.156840 | + | 0.482705i | ||||
\(560\) | −1.94427 | − | 3.36758i | −0.0821605 | − | 0.142306i | ||||
\(561\) | −20.9339 | − | 18.4208i | −0.883832 | − | 0.777727i | ||||
\(562\) | −1.78115 | + | 3.08505i | −0.0751334 | + | 0.130135i | ||||
\(563\) | −13.5867 | − | 15.0895i | −0.572610 | − | 0.635947i | 0.385377 | − | 0.922759i | \(-0.374071\pi\) |
−0.957987 | + | 0.286812i | \(0.907405\pi\) | |||||||
\(564\) | −38.1477 | + | 4.00948i | −1.60631 | + | 0.168830i | ||||
\(565\) | 2.22697 | − | 21.1882i | 0.0936895 | − | 0.891396i | ||||
\(566\) | 2.00658 | + | 6.17561i | 0.0843428 | + | 0.259580i | ||||
\(567\) | −2.78115 | − | 8.55951i | −0.116797 | − | 0.359466i | ||||
\(568\) | 3.46556 | + | 2.51788i | 0.145412 | + | 0.105648i | ||||
\(569\) | 35.4441 | + | 15.7807i | 1.48589 | + | 0.661562i | 0.979629 | − | 0.200816i | \(-0.0643594\pi\) |
0.506264 | + | 0.862378i | \(0.331026\pi\) | |||||||
\(570\) | −0.607717 | + | 0.547191i | −0.0254545 | + | 0.0229193i | ||||
\(571\) | 9.26393 | − | 16.0456i | 0.387683 | − | 0.671488i | −0.604454 | − | 0.796640i | \(-0.706609\pi\) |
0.992138 | + | 0.125153i | \(0.0399420\pi\) | |||||||
\(572\) | −39.7969 | + | 0.454194i | −1.66399 | + | 0.0189908i | ||||
\(573\) | 10.2958i | 0.430112i | ||||||||
\(574\) | 0.944458 | − | 0.200751i | 0.0394209 | − | 0.00837918i | ||||
\(575\) | 12.9721 | − | 9.42481i | 0.540975 | − | 0.393042i | ||||
\(576\) | −1.47642 | + | 14.0472i | −0.0615177 | + | 0.585301i | ||||
\(577\) | 10.9443 | + | 33.6830i | 0.455616 | + | 1.40224i | 0.870410 | + | 0.492327i | \(0.163853\pi\) |
−0.414794 | + | 0.909915i | \(0.636147\pi\) | |||||||
\(578\) | −1.67723 | + | 1.86275i | −0.0697635 | + | 0.0774802i | ||||
\(579\) | 18.9482 | + | 1.99153i | 0.787460 | + | 0.0827654i | ||||
\(580\) | 1.16284 | + | 11.0637i | 0.0482842 | + | 0.459394i | ||||
\(581\) | 6.53335 | + | 7.25602i | 0.271049 | + | 0.301030i | ||||
\(582\) | −3.43769 | + | 1.98475i | −0.142497 | + | 0.0822707i | ||||
\(583\) | 1.57186 | + | 13.4742i | 0.0650997 | + | 0.558044i | ||||
\(584\) | −0.214782 | −0.00888773 | ||||||||
\(585\) | −16.0591 | − | 17.8355i | −0.663963 | − | 0.737406i | ||||
\(586\) | −9.01722 | + | 6.55139i | −0.372498 | + | 0.270636i | ||||
\(587\) | −1.40240 | + | 13.3429i | −0.0578831 | + | 0.550721i | 0.926700 | + | 0.375802i | \(0.122633\pi\) |
−0.984583 | + | 0.174918i | \(0.944034\pi\) | |||||||
\(588\) | −18.3253 | + | 5.95426i | −0.755724 | + | 0.245550i | ||||
\(589\) | −0.604528 | − | 0.128496i | −0.0249092 | − | 0.00529461i | ||||
\(590\) | 0.697887 | − | 0.310719i | 0.0287315 | − | 0.0127921i | ||||
\(591\) | 14.1871 | − | 1.49113i | 0.583581 | − | 0.0613368i | ||||
\(592\) | 15.6632 | − | 3.32932i | 0.643755 | − | 0.136834i | ||||
\(593\) | −10.9443 | −0.449427 | −0.224714 | − | 0.974425i | \(-0.572145\pi\) | ||||
−0.224714 | + | 0.974425i | \(0.572145\pi\) | |||||||
\(594\) | −3.80818 | + | 5.36931i | −0.156251 | + | 0.220306i | ||||
\(595\) | 6.00000 | 0.245976 | ||||||||
\(596\) | −27.5308 | + | 5.85186i | −1.12771 | + | 0.239702i | ||||
\(597\) | −12.3093 | + | 1.29375i | −0.503784 | + | 0.0529499i | ||||
\(598\) | 10.4294 | − | 4.64347i | 0.426490 | − | 0.189886i | ||||
\(599\) | 13.0687 | + | 2.77784i | 0.533973 | + | 0.113500i | 0.467003 | − | 0.884255i | \(-0.345334\pi\) |
0.0669698 | + | 0.997755i | \(0.478667\pi\) | |||||||
\(600\) | 8.41999 | − | 2.73582i | 0.343745 | − | 0.111689i | ||||
\(601\) | 1.82634 | − | 17.3764i | 0.0744978 | − | 0.708799i | −0.891985 | − | 0.452066i | \(-0.850687\pi\) |
0.966482 | − | 0.256733i | \(-0.0826461\pi\) | |||||||
\(602\) | −0.572949 | + | 0.416272i | −0.0233517 | + | 0.0169660i | ||||
\(603\) | −5.56231 | + | 17.1190i | −0.226515 | + | 0.697140i | ||||
\(604\) | −8.02129 | −0.326382 | ||||||||
\(605\) | 10.8147 | − | 8.24093i | 0.439682 | − | 0.335042i | ||||
\(606\) | 4.85410 | − | 2.80252i | 0.197184 | − | 0.113844i | ||||
\(607\) | −2.39789 | − | 2.66313i | −0.0973274 | − | 0.108093i | 0.692513 | − | 0.721405i | \(-0.256503\pi\) |
−0.789841 | + | 0.613312i | \(0.789837\pi\) | |||||||
\(608\) | 0.433364 | + | 4.12319i | 0.0175752 | + | 0.167217i | ||||
\(609\) | −8.36149 | − | 0.878828i | −0.338825 | − | 0.0356119i | ||||
\(610\) | 3.42903 | − | 3.80833i | 0.138838 | − | 0.154195i | ||||
\(611\) | −23.8885 | − | 73.5214i | −0.966427 | − | 2.97436i | ||||
\(612\) | −21.8435 | − | 15.8702i | −0.882969 | − | 0.641515i | ||||
\(613\) | −16.0623 | + | 11.6699i | −0.648750 | + | 0.471345i | −0.862845 | − | 0.505468i | \(-0.831320\pi\) |
0.214095 | + | 0.976813i | \(0.431320\pi\) | |||||||
\(614\) | 2.93444 | − | 0.623735i | 0.118424 | − | 0.0251719i | ||||
\(615\) | 5.41199i | 0.218232i | ||||||||
\(616\) | −3.98254 | − | 2.82461i | −0.160461 | − | 0.113807i | ||||
\(617\) | 13.5795 | − | 23.5204i | 0.546691 | − | 0.946897i | −0.451807 | − | 0.892116i | \(-0.649221\pi\) |
0.998498 | − | 0.0547813i | \(-0.0174462\pi\) | |||||||
\(618\) | −5.03259 | + | 4.53137i | −0.202441 | + | 0.182278i | ||||
\(619\) | 25.1794 | + | 11.2106i | 1.01205 | + | 0.450592i | 0.844662 | − | 0.535300i | \(-0.179801\pi\) |
0.167384 | + | 0.985892i | \(0.446468\pi\) | |||||||
\(620\) | −1.14590 | − | 0.832544i | −0.0460204 | − | 0.0334358i | ||||
\(621\) | −4.98905 | + | 23.4716i | −0.200204 | + | 0.941884i | ||||
\(622\) | −1.79180 | − | 5.51458i | −0.0718445 | − | 0.221115i | ||||
\(623\) | −0.707023 | + | 6.72688i | −0.0283263 | + | 0.269507i | ||||
\(624\) | −35.0725 | + | 3.68627i | −1.40403 | + | 0.147569i | ||||
\(625\) | 2.95515 | + | 3.28203i | 0.118206 | + | 0.131281i | ||||
\(626\) | 0.663119 | − | 1.14856i | 0.0265036 | − | 0.0459055i | ||||
\(627\) | 2.27648 | − | 5.27424i | 0.0909140 | − | 0.210633i | ||||
\(628\) | 6.62461 | + | 11.4742i | 0.264351 | + | 0.457869i | ||||
\(629\) | −7.63525 | + | 23.4989i | −0.304438 | + | 0.936962i | ||||
\(630\) | −0.148055 | − | 1.40865i | −0.00589865 | − | 0.0561219i | ||||
\(631\) | 8.80902 | + | 6.40013i | 0.350681 | + | 0.254785i | 0.749155 | − | 0.662395i | \(-0.230460\pi\) |
−0.398473 | + | 0.917180i | \(0.630460\pi\) | |||||||
\(632\) | 10.4044 | − | 11.5553i | 0.413865 | − | 0.459644i | ||||
\(633\) | 26.3510 | + | 23.7266i | 1.04736 | + | 0.943046i | ||||
\(634\) | −7.30836 | + | 3.25389i | −0.290252 | + | 0.129229i | ||||
\(635\) | −1.36470 | − | 12.9842i | −0.0541563 | − | 0.515263i | ||||
\(636\) | 2.73095 | + | 12.8481i | 0.108289 | + | 0.509462i | ||||
\(637\) | −19.4164 | − | 33.6302i | −0.769306 | − | 1.33248i | ||||
\(638\) | 3.13525 | + | 5.29007i | 0.124126 | + | 0.209436i | ||||
\(639\) | −4.36475 | − | 7.55996i | −0.172667 | − | 0.299067i | ||||
\(640\) | −3.85410 | + | 11.8617i | −0.152347 | + | 0.468875i | ||||
\(641\) | −18.6828 | − | 8.31811i | −0.737925 | − | 0.328546i | 0.00312481 | − | 0.999995i | \(-0.499005\pi\) |
−0.741050 | + | 0.671450i | \(0.765672\pi\) | |||||||
\(642\) | −5.45757 | + | 7.51170i | −0.215393 | + | 0.296463i | ||||
\(643\) | 6.70432 | + | 1.42505i | 0.264393 | + | 0.0561984i | 0.338200 | − | 0.941074i | \(-0.390182\pi\) |
−0.0738078 | + | 0.997272i | \(0.523515\pi\) | |||||||
\(644\) | −8.37520 | − | 1.78020i | −0.330029 | − | 0.0701498i | ||||
\(645\) | −1.61454 | − | 3.62633i | −0.0635726 | − | 0.142786i | ||||
\(646\) | −1.69381 | − | 0.754131i | −0.0666419 | − | 0.0296709i | ||||
\(647\) | −1.29180 | + | 3.97574i | −0.0507857 | + | 0.156302i | −0.973233 | − | 0.229821i | \(-0.926186\pi\) |
0.922447 | + | 0.386123i | \(0.126186\pi\) | |||||||
\(648\) | −6.62461 | + | 11.4742i | −0.260239 | + | 0.450748i | ||||
\(649\) | −3.54508 | + | 4.02874i | −0.139157 | + | 0.158142i | ||||
\(650\) | 4.29180 | + | 7.43361i | 0.168338 | + | 0.291570i | ||||
\(651\) | 0.795511 | − | 0.716282i | 0.0311786 | − | 0.0280733i | ||||
\(652\) | 4.01338 | + | 38.1848i | 0.157176 | + | 1.49543i | ||||
\(653\) | −1.24304 | + | 0.553438i | −0.0486440 | + | 0.0216577i | −0.430914 | − | 0.902393i | \(-0.641809\pi\) |
0.382270 | + | 0.924050i | \(0.375142\pi\) | |||||||
\(654\) | 4.49623 | − | 1.46091i | 0.175816 | − | 0.0571262i | ||||
\(655\) | −17.5642 | + | 19.5070i | −0.686288 | + | 0.762201i | ||||
\(656\) | 6.43363 | + | 4.67430i | 0.251191 | + | 0.182501i | ||||
\(657\) | 0.399853 | + | 0.178026i | 0.0155998 | + | 0.00694546i | ||||
\(658\) | 1.40983 | − | 4.33901i | 0.0549609 | − | 0.169152i | ||||
\(659\) | −4.98936 | − | 8.64182i | −0.194358 | − | 0.336637i | 0.752332 | − | 0.658784i | \(-0.228929\pi\) |
−0.946690 | + | 0.322147i | \(0.895596\pi\) | |||||||
\(660\) | 9.68260 | − | 8.92043i | 0.376895 | − | 0.347227i | ||||
\(661\) | 2.14590 | − | 3.71680i | 0.0834658 | − | 0.144567i | −0.821271 | − | 0.570539i | \(-0.806734\pi\) |
0.904736 | + | 0.425972i | \(0.140068\pi\) | |||||||
\(662\) | −3.68462 | − | 4.09218i | −0.143207 | − | 0.159047i | ||||
\(663\) | 22.1325 | − | 49.7104i | 0.859555 | − | 1.93059i | ||||
\(664\) | 1.50247 | − | 14.2951i | 0.0583073 | − | 0.554757i | ||||
\(665\) | 0.381966 | + | 1.17557i | 0.0148120 | + | 0.0455867i | ||||
\(666\) | 5.70535 | + | 1.21271i | 0.221078 | + | 0.0469916i | ||||
\(667\) | 18.1353 | + | 13.1760i | 0.702200 | + | 0.510178i | ||||
\(668\) | 9.76299 | + | 4.34676i | 0.377741 | + | 0.168181i | ||||
\(669\) | −25.5436 | − | 8.29963i | −0.987574 | − | 0.320882i | ||||
\(670\) | −1.41641 | + | 2.45329i | −0.0547206 | + | 0.0947789i | ||||
\(671\) | −10.7329 | + | 34.3618i | −0.414337 | + | 1.32652i | ||||
\(672\) | −6.21885 | − | 3.59045i | −0.239897 | − | 0.138505i | ||||
\(673\) | 28.9163 | − | 6.14635i | 1.11464 | − | 0.236924i | 0.386458 | − | 0.922307i | \(-0.373698\pi\) |
0.728183 | + | 0.685383i | \(0.240365\pi\) | |||||||
\(674\) | −3.54508 | + | 2.57565i | −0.136552 | + | 0.0992105i | ||||
\(675\) | −17.9429 | − | 1.88588i | −0.690623 | − | 0.0725874i | ||||
\(676\) | −16.5517 | − | 50.9408i | −0.636602 | − | 1.95926i | ||||
\(677\) | 4.05207 | − | 4.50028i | 0.155734 | − | 0.172960i | −0.660229 | − | 0.751064i | \(-0.729541\pi\) |
0.815963 | + | 0.578105i | \(0.196207\pi\) | |||||||
\(678\) | −4.63807 | − | 10.4173i | −0.178124 | − | 0.400073i | ||||
\(679\) | 0.627171 | + | 5.96713i | 0.0240686 | + | 0.228997i | ||||
\(680\) | −5.91031 | − | 6.56406i | −0.226650 | − | 0.251720i | ||||
\(681\) | − | 28.7833i | − | 1.10298i | ||||||
\(682\) | −0.767647 | − | 0.154034i | −0.0293947 | − | 0.00589826i | ||||
\(683\) | −5.52786 | −0.211518 | −0.105759 | − | 0.994392i | \(-0.533727\pi\) | ||||
−0.105759 | + | 0.994392i | \(0.533727\pi\) | |||||||
\(684\) | 1.71885 | − | 5.29007i | 0.0657218 | − | 0.202271i | ||||
\(685\) | −8.61803 | + | 6.26137i | −0.329278 | + | 0.239235i | ||||
\(686\) | 0.519042 | − | 4.93836i | 0.0198171 | − | 0.188547i | ||||
\(687\) | 13.1038 | + | 11.7987i | 0.499940 | + | 0.450148i | ||||
\(688\) | −5.70535 | − | 1.21271i | −0.217515 | − | 0.0462342i | ||||
\(689\) | −24.1835 | + | 10.7672i | −0.921318 | + | 0.410197i | ||||
\(690\) | −1.53602 | + | 3.44997i | −0.0584755 | + | 0.131338i | ||||
\(691\) | −14.2778 | + | 3.03483i | −0.543152 | + | 0.115451i | −0.471314 | − | 0.881966i | \(-0.656220\pi\) |
−0.0718386 | + | 0.997416i | \(0.522887\pi\) | |||||||
\(692\) | 42.8115 | 1.62745 | ||||||||
\(693\) | 5.07295 | + | 8.55951i | 0.192705 | + | 0.325149i | ||||
\(694\) | 3.39512 | 0.128877 | ||||||||
\(695\) | 11.7378 | − | 2.49494i | 0.445239 | − | 0.0946385i | ||||
\(696\) | 7.27505 | + | 10.0133i | 0.275760 | + | 0.379551i | ||||
\(697\) | −11.2097 | + | 4.99087i | −0.424596 | + | 0.189043i | ||||
\(698\) | −1.54899 | − | 0.329247i | −0.0586300 | − | 0.0124622i | ||||
\(699\) | −4.00612 | + | 18.8473i | −0.151526 | + | 0.712872i | ||||
\(700\) | 0.672922 | − | 6.40243i | 0.0254341 | − | 0.241989i | ||||
\(701\) | 38.6074 | − | 28.0499i | 1.45818 | − | 1.05943i | 0.474349 | − | 0.880337i | \(-0.342683\pi\) |
0.983832 | − | 0.179094i | \(-0.0573165\pi\) | |||||||
\(702\) | −12.2169 | − | 3.96951i | −0.461097 | − | 0.149819i | ||||
\(703\) | −5.09017 | −0.191979 | ||||||||
\(704\) | −1.80937 | − | 15.5102i | −0.0681931 | − | 0.584561i | ||||
\(705\) | 22.1459 | + | 12.7859i | 0.834063 | + | 0.481546i | ||||
\(706\) | 4.19579 | + | 4.65990i | 0.157911 | + | 0.175378i | ||||
\(707\) | −0.885579 | − | 8.42572i | −0.0333056 | − | 0.316882i | ||||
\(708\) | −3.05422 | + | 4.20378i | −0.114785 | + | 0.157988i | ||||
\(709\) | −17.2394 | + | 19.1463i | −0.647441 | + | 0.719056i | −0.974108 | − | 0.226084i | \(-0.927408\pi\) |
0.326667 | + | 0.945139i | \(0.394074\pi\) | |||||||
\(710\) | −0.424538 | − | 1.30660i | −0.0159326 | − | 0.0490356i | ||||
\(711\) | −28.9474 | + | 12.8882i | −1.08561 | + | 0.483346i | ||||
\(712\) | 8.05573 | − | 5.85283i | 0.301901 | − | 0.219344i | ||||
\(713\) | −2.79173 | + | 0.593401i | −0.104551 | + | 0.0222230i | ||||
\(714\) | 2.78115 | − | 1.60570i | 0.104082 | − | 0.0600918i | ||||
\(715\) | 21.6422 | + | 15.3497i | 0.809373 | + | 0.574047i | ||||
\(716\) | −4.68692 | + | 8.11798i | −0.175158 | + | 0.303383i | ||||
\(717\) | −3.77116 | − | 17.7419i | −0.140837 | − | 0.662584i | ||||
\(718\) | 7.97479 | + | 3.55060i | 0.297616 | + | 0.132507i | ||||
\(719\) | 15.8541 | + | 11.5187i | 0.591258 | + | 0.429574i | 0.842765 | − | 0.538281i | \(-0.180926\pi\) |
−0.251507 | + | 0.967855i | \(0.580926\pi\) | |||||||
\(720\) | 7.80583 | − | 8.66925i | 0.290906 | − | 0.323084i | ||||
\(721\) | 3.16312 | + | 9.73508i | 0.117801 | + | 0.362553i | ||||
\(722\) | −0.718674 | + | 6.83772i | −0.0267463 | + | 0.254474i | ||||
\(723\) | 27.3178 | + | 37.5997i | 1.01596 | + | 1.39835i | ||||
\(724\) | 12.2945 | + | 13.6544i | 0.456921 | + | 0.507463i | ||||
\(725\) | −8.42705 | + | 14.5961i | −0.312973 | + | 0.542085i | ||||
\(726\) | 2.80750 | − | 6.71409i | 0.104196 | − | 0.249183i | ||||
\(727\) | −9.41641 | − | 16.3097i | −0.349235 | − | 0.604893i | 0.636879 | − | 0.770964i | \(-0.280225\pi\) |
−0.986114 | + | 0.166071i | \(0.946892\pi\) | |||||||
\(728\) | 2.94427 | − | 9.06154i | 0.109122 | − | 0.335843i | ||||
\(729\) | 21.8435 | − | 15.8702i | 0.809017 | − | 0.587785i | ||||
\(730\) | 0.0557281 | + | 0.0404888i | 0.00206259 | + | 0.00149856i | ||||
\(731\) | 6.02218 | − | 6.68830i | 0.222738 | − | 0.247376i | ||||
\(732\) | −7.24715 | + | 34.0951i | −0.267862 | + | 1.26019i | ||||
\(733\) | 44.2815 | − | 19.7154i | 1.63557 | − | 0.728205i | 0.636502 | − | 0.771275i | \(-0.280381\pi\) |
0.999072 | + | 0.0430700i | \(0.0137138\pi\) | |||||||
\(734\) | −0.507392 | − | 4.82751i | −0.0187282 | − | 0.178187i | ||||
\(735\) | 12.2169 | + | 3.96951i | 0.450627 | + | 0.146417i | ||||
\(736\) | 9.57295 | + | 16.5808i | 0.352864 | + | 0.611178i | ||||
\(737\) | 1.85410 | − | 19.8132i | 0.0682967 | − | 0.729828i | ||||
\(738\) | 1.44834 | + | 2.50859i | 0.0533140 | + | 0.0923426i | ||||
\(739\) | 13.1459 | − | 40.4589i | 0.483580 | − | 1.48831i | −0.350448 | − | 0.936582i | \(-0.613971\pi\) |
0.834027 | − | 0.551723i | \(-0.186029\pi\) | |||||||
\(740\) | −10.6571 | − | 4.74484i | −0.391762 | − | 0.174424i | ||||
\(741\) | 11.1487 | + | 1.17177i | 0.409556 | + | 0.0430461i | ||||
\(742\) | −1.52817 | − | 0.324822i | −0.0561007 | − | 0.0119246i | ||||
\(743\) | 41.4350 | + | 8.80728i | 1.52010 | + | 0.323108i | 0.890924 | − | 0.454153i | \(-0.150058\pi\) |
0.629179 | + | 0.777261i | \(0.283391\pi\) | |||||||
\(744\) | −1.56724 | − | 0.164723i | −0.0574578 | − | 0.00603906i | ||||
\(745\) | 17.1417 | + | 7.63198i | 0.628023 | + | 0.279614i | ||||
\(746\) | 0.667184 | − | 2.05338i | 0.0244274 | − | 0.0751797i | ||||
\(747\) | −14.6459 | + | 25.3674i | −0.535865 | + | 0.928146i | ||||
\(748\) | 27.4058 | + | 11.8290i | 1.00205 | + | 0.432509i | ||||
\(749\) | 7.01722 | + | 12.1542i | 0.256404 | + | 0.444104i | ||||
\(750\) | −6.58911 | − | 2.14093i | −0.240600 | − | 0.0781758i | ||||
\(751\) | 3.26643 | + | 31.0780i | 0.119194 | + | 1.13405i | 0.876637 | + | 0.481152i | \(0.159782\pi\) |
−0.757443 | + | 0.652901i | \(0.773552\pi\) | |||||||
\(752\) | 34.3269 | − | 15.2833i | 1.25177 | − | 0.557325i | ||||
\(753\) | 7.40477 | − | 34.8367i | 0.269845 | − | 1.26952i | ||||
\(754\) | −8.02957 | + | 8.91774i | −0.292420 | + | 0.324765i | ||||
\(755\) | 4.32624 | + | 3.14320i | 0.157448 | + | 0.114393i | ||||
\(756\) | 5.66284 | + | 7.79423i | 0.205955 | + | 0.283473i | ||||
\(757\) | 3.39919 | − | 10.4616i | 0.123546 | − | 0.380234i | −0.870088 | − | 0.492897i | \(-0.835938\pi\) |
0.993633 | + | 0.112663i | \(0.0359380\pi\) | |||||||
\(758\) | 3.01722 | + | 5.22598i | 0.109590 | + | 0.189816i | ||||
\(759\) | −0.302745 | − | 26.5269i | −0.0109890 | − | 0.962864i | ||||
\(760\) | 0.909830 | − | 1.57587i | 0.0330030 | − | 0.0571629i | ||||
\(761\) | 4.66967 | + | 5.18620i | 0.169275 | + | 0.187999i | 0.821814 | − | 0.569756i | \(-0.192962\pi\) |
−0.652538 | + | 0.757756i | \(0.726296\pi\) | |||||||
\(762\) | −4.10736 | − | 5.65330i | −0.148794 | − | 0.204797i | ||||
\(763\) | 0.746950 | − | 7.10675i | 0.0270414 | − | 0.257282i | ||||
\(764\) | −3.40576 | − | 10.4819i | −0.123216 | − | 0.379221i | ||||
\(765\) | 5.56231 | + | 17.1190i | 0.201106 | + | 0.618939i | ||||
\(766\) | 6.13525 | + | 4.45752i | 0.221676 | + | 0.161057i | ||||
\(767\) | −9.56677 | − | 4.25940i | −0.345436 | − | 0.153798i | ||||
\(768\) | −2.00306 | − | 9.42367i | −0.0722793 | − | 0.340047i | ||||
\(769\) | 7.89919 | − | 13.6818i | 0.284852 | − | 0.493378i | −0.687721 | − | 0.725975i | \(-0.741389\pi\) |
0.972573 | + | 0.232597i | \(0.0747222\pi\) | |||||||
\(770\) | 0.500853 | + | 1.48364i | 0.0180495 | + | 0.0534666i | ||||
\(771\) | −22.3647 | + | 12.9123i | −0.805447 | + | 0.465025i | ||||
\(772\) | −19.9494 | + | 4.24038i | −0.717996 | + | 0.152615i | ||||
\(773\) | −19.1353 | + | 13.9026i | −0.688247 | + | 0.500041i | −0.876083 | − | 0.482159i | \(-0.839853\pi\) |
0.187836 | + | 0.982200i | \(0.439853\pi\) | |||||||
\(774\) | −1.71885 | − | 1.24882i | −0.0617827 | − | 0.0448877i | ||||
\(775\) | −0.663119 | − | 2.04087i | −0.0238199 | − | 0.0733102i | ||||
\(776\) | 5.91031 | − | 6.56406i | 0.212168 | − | 0.235636i | ||||
\(777\) | 5.18217 | − | 7.13264i | 0.185909 | − | 0.255882i | ||||
\(778\) | −0.904430 | − | 8.60508i | −0.0324254 | − | 0.308507i | ||||
\(779\) | −1.69147 | − | 1.87857i | −0.0606032 | − | 0.0673067i | ||||
\(780\) | 22.2492 | + | 12.8456i | 0.796650 | + | 0.459946i | ||||
\(781\) | 6.53908 | + | 7.09779i | 0.233987 | + | 0.253979i | ||||
\(782\) | −8.56231 | −0.306187 | ||||||||
\(783\) | −5.24408 | − | 24.6715i | −0.187408 | − | 0.881687i | ||||
\(784\) | 15.2705 | − | 11.0947i | 0.545375 | − | 0.396238i | ||||
\(785\) | 0.923281 | − | 8.78443i | 0.0329533 | − | 0.313530i | ||||
\(786\) | −2.92105 | + | 13.7424i | −0.104190 | + | 0.490177i | ||||
\(787\) | −35.2133 | − | 7.48482i | −1.25522 | − | 0.266805i | −0.468138 | − | 0.883655i | \(-0.655075\pi\) |
−0.787081 | + | 0.616850i | \(0.788408\pi\) | |||||||
\(788\) | −13.9503 | + | 6.21108i | −0.496959 | + | 0.221260i | ||||
\(789\) | 12.9379 | + | 17.8075i | 0.460601 | + | 0.633963i | ||||
\(790\) | −4.87787 | + | 1.03682i | −0.173547 | + | 0.0368885i | ||||
\(791\) | −17.2361 | −0.612844 | ||||||||
\(792\) | 4.36708 | − | 13.9814i | 0.155177 | − | 0.496808i | ||||
\(793\) | −70.2492 | −2.49462 | ||||||||
\(794\) | −0.793796 | + | 0.168726i | −0.0281708 | + | 0.00598788i | ||||
\(795\) | 3.56170 | − | 7.99971i | 0.126321 | − | 0.283721i | ||||
\(796\) | 12.1038 | − | 5.38894i | 0.429007 | − | 0.191006i | ||||
\(797\) | −23.7401 | − | 5.04612i | −0.840919 | − | 0.178743i | −0.232736 | − | 0.972540i | \(-0.574768\pi\) |
−0.608183 | + | 0.793797i | \(0.708101\pi\) | |||||||
\(798\) | 0.491653 | + | 0.442686i | 0.0174043 | + | 0.0156709i | ||||
\(799\) | −6.06043 | + | 57.6611i | −0.214402 | + | 2.03990i | ||||
\(800\) | −11.6459 | + | 8.46124i | −0.411745 | + | 0.299150i | ||||
\(801\) | −19.8484 | + | 4.21890i | −0.701308 | + | 0.149068i | ||||
\(802\) | −5.56231 | −0.196412 | ||||||||
\(803\) | −0.474432 | − | 0.0951981i | −0.0167423 | − | 0.00335947i | ||||
\(804\) | − | 19.2684i | − | 0.679544i | ||||||
\(805\) | 3.81953 | + | 4.24202i | 0.134621 | + | 0.149512i | ||||
\(806\) | −0.159705 | − | 1.51949i | −0.00562538 | − | 0.0535219i | ||||
\(807\) | −14.9848 | − | 33.6565i | −0.527491 | − | 1.18476i | ||||
\(808\) | −8.34549 | + | 9.26860i | −0.293593 | + | 0.326068i | ||||
\(809\) | −5.59017 | − | 17.2048i | −0.196540 | − | 0.604888i | −0.999955 | − | 0.00946853i | \(-0.996986\pi\) |
0.803415 | − | 0.595419i | \(-0.203014\pi\) | |||||||
\(810\) | 3.88186 | − | 1.72831i | 0.136395 | − | 0.0607268i | ||||
\(811\) | −7.02786 | + | 5.10604i | −0.246782 | + | 0.179297i | −0.704299 | − | 0.709903i | \(-0.748739\pi\) |
0.457518 | + | 0.889201i | \(0.348739\pi\) | |||||||
\(812\) | 8.80333 | − | 1.87121i | 0.308936 | − | 0.0656664i | ||||
\(813\) | −16.1459 | − | 9.32184i | −0.566261 | − | 0.326931i | ||||
\(814\) | −6.44800 | + | 0.0735897i | −0.226002 | + | 0.00257932i | ||||
\(815\) | 12.7984 | − | 22.1674i | 0.448307 | − | 0.776491i | ||||
\(816\) | 25.1548 | + | 8.17328i | 0.880593 | + | 0.286122i | ||||
\(817\) | 1.69381 | + | 0.754131i | 0.0592588 | + | 0.0263837i | ||||
\(818\) | −10.4271 | − | 7.57570i | −0.364573 | − | 0.264878i | ||||
\(819\) | −12.9921 | + | 14.4292i | −0.453981 | + | 0.504197i | ||||
\(820\) | −1.79024 | − | 5.50980i | −0.0625180 | − | 0.192411i | ||||
\(821\) | −3.99453 | + | 38.0054i | −0.139410 | + | 1.32640i | 0.671402 | + | 0.741093i | \(0.265692\pi\) |
−0.810813 | + | 0.585306i | \(0.800974\pi\) | |||||||
\(822\) | −2.31903 | + | 5.20863i | −0.0808855 | + | 0.181672i | ||||
\(823\) | −28.2987 | − | 31.4289i | −0.986432 | − | 1.09554i | −0.995421 | − | 0.0955840i | \(-0.969528\pi\) |
0.00898947 | − | 0.999960i | \(-0.497139\pi\) | |||||||
\(824\) | 7.53444 | − | 13.0500i | 0.262475 | − | 0.454620i | ||||
\(825\) | 19.8116 | − | 2.31116i | 0.689750 | − | 0.0804641i | ||||
\(826\) | −0.309017 | − | 0.535233i | −0.0107521 | − | 0.0186231i | ||||
\(827\) | −17.6246 | + | 54.2430i | −0.612868 | + | 1.88621i | −0.183721 | + | 0.982978i | \(0.558814\pi\) |
−0.429147 | + | 0.903235i | \(0.641186\pi\) | |||||||
\(828\) | −2.68501 | − | 25.5462i | −0.0933107 | − | 0.887792i | ||||
\(829\) | −35.2254 | − | 25.5928i | −1.22343 | − | 0.888874i | −0.227049 | − | 0.973883i | \(-0.572908\pi\) |
−0.996380 | + | 0.0850096i | \(0.972908\pi\) | |||||||
\(830\) | −3.08463 | + | 3.42583i | −0.107069 | + | 0.118912i | ||||
\(831\) | 31.6872 | − | 10.2958i | 1.09922 | − | 0.357157i | ||||
\(832\) | 27.8377 | − | 12.3941i | 0.965098 | − | 0.429689i | ||||
\(833\) | 3.04435 | + | 28.9651i | 0.105481 | + | 1.00358i | ||||
\(834\) | 4.77307 | − | 4.29769i | 0.165278 | − | 0.148817i | ||||
\(835\) | −3.56231 | − | 6.17009i | −0.123279 | − | 0.213525i | ||||
\(836\) | −0.572949 | + | 6.12261i | −0.0198159 | + | 0.211755i | ||||
\(837\) | 2.78115 | + | 1.60570i | 0.0961307 | + | 0.0555011i | ||||
\(838\) | −0.954915 | + | 2.93893i | −0.0329870 | + | 0.101524i | ||||
\(839\) | −15.7968 | − | 7.03321i | −0.545368 | − | 0.242813i | 0.115511 | − | 0.993306i | \(-0.463149\pi\) |
−0.660878 | + | 0.750493i | \(0.729816\pi\) | |||||||
\(840\) | 1.28193 | + | 2.87926i | 0.0442308 | + | 0.0993439i | ||||
\(841\) | 5.31887 | + | 1.13056i | 0.183409 | + | 0.0389848i | ||||
\(842\) | 3.82439 | + | 0.812899i | 0.131797 | + | 0.0280144i | ||||
\(843\) | −9.49480 | + | 13.0685i | −0.327018 | + | 0.450102i | ||||
\(844\) | −34.6758 | − | 15.4387i | −1.19359 | − | 0.531421i | ||||
\(845\) | −11.0344 | + | 33.9605i | −0.379596 | + | 1.16828i | ||||
\(846\) | 13.6869 | 0.470566 | ||||||||
\(847\) | −7.54508 | − | 8.00448i | −0.259252 | − | 0.275037i | ||||
\(848\) | −6.43363 | − | 11.1434i | −0.220932 | − | 0.382665i | ||||
\(849\) | 6.12193 | + | 28.8014i | 0.210104 | + | 0.988462i | ||||
\(850\) | −0.672922 | − | 6.40243i | −0.0230810 | − | 0.219601i | ||||
\(851\) | −21.4743 | + | 9.56099i | −0.736130 | + | 0.327746i | ||||
\(852\) | 6.94441 | + | 6.25277i | 0.237912 | + | 0.214217i | ||||
\(853\) | −23.7124 | + | 26.3353i | −0.811899 | + | 0.901705i | −0.996708 | − | 0.0810695i | \(-0.974166\pi\) |
0.184810 | + | 0.982774i | \(0.440833\pi\) | |||||||
\(854\) | −3.35410 | − | 2.43690i | −0.114775 | − | 0.0833889i | ||||
\(855\) | −3.00000 | + | 2.17963i | −0.102598 | + | 0.0745417i | ||||
\(856\) | 6.38448 | − | 19.6494i | 0.218217 | − | 0.671603i | ||||
\(857\) | −12.6803 | − | 21.9630i | −0.433152 | − | 0.750242i | 0.563991 | − | 0.825781i | \(-0.309265\pi\) |
−0.997143 | + | 0.0755396i | \(0.975932\pi\) | |||||||
\(858\) | 14.1396 | + | 1.32317i | 0.482717 | + | 0.0451722i | ||||
\(859\) | 16.2812 | − | 28.1998i | 0.555506 | − | 0.962164i | −0.442358 | − | 0.896838i | \(-0.645858\pi\) |
0.997864 | − | 0.0653258i | \(-0.0208087\pi\) | |||||||
\(860\) | 2.84329 | + | 3.15779i | 0.0969552 | + | 0.107680i | ||||
\(861\) | 4.35440 | − | 0.457666i | 0.148398 | − | 0.0155972i | ||||
\(862\) | −1.36025 | + | 12.9419i | −0.0463301 | + | 0.440802i | ||||
\(863\) | 4.46556 | + | 13.7436i | 0.152009 | + | 0.467837i | 0.997846 | − | 0.0656059i | \(-0.0208980\pi\) |
−0.845836 | + | 0.533443i | \(0.820898\pi\) | |||||||
\(864\) | 4.47898 | − | 21.0720i | 0.152378 | − | 0.716883i | ||||
\(865\) | −23.0902 | − | 16.7760i | −0.785089 | − | 0.570401i | ||||
\(866\) | −5.14435 | − | 2.29041i | −0.174812 | − | 0.0778313i | ||||
\(867\) | −8.44677 | + | 7.60550i | −0.286867 | + | 0.258296i | ||||
\(868\) | −0.572949 | + | 0.992377i | −0.0194472 | + | 0.0336835i | ||||
\(869\) | 28.1040 | − | 20.9129i | 0.953363 | − | 0.709422i | ||||
\(870\) | − | 3.96951i | − | 0.134579i | ||||||
\(871\) | 37.9842 | − | 8.07380i | 1.28705 | − | 0.273570i | ||||
\(872\) | −8.51064 | + | 6.18334i | −0.288207 | + | 0.209394i | ||||
\(873\) | −16.4438 | + | 7.32126i | −0.556539 | + | 0.247787i | ||||
\(874\) | −0.545085 | − | 1.67760i | −0.0184378 | − | 0.0567456i | ||||
\(875\) | −7.00723 | + | 7.78231i | −0.236887 | + | 0.263090i | ||||
\(876\) | −0.465970 | − | 0.0489754i | −0.0157437 | − | 0.00165473i | ||||
\(877\) | −1.21219 | − | 11.5332i | −0.0409328 | − | 0.389449i | −0.995739 | − | 0.0922193i | \(-0.970604\pi\) |
0.954806 | − | 0.297230i | \(-0.0960628\pi\) | |||||||
\(878\) | 0.181006 | + | 0.201028i | 0.00610867 | + | 0.00678437i | ||||
\(879\) | −43.7705 | + | 25.2709i | −1.47634 | + | 0.852367i | ||||
\(880\) | −6.32054 | + | 11.2419i | −0.213065 | + | 0.378963i | ||||
\(881\) | 1.81966 | 0.0613059 | 0.0306530 | − | 0.999530i | \(-0.490241\pi\) | ||||
0.0306530 | + | 0.999530i | \(0.490241\pi\) | |||||||
\(882\) | 6.72514 | − | 1.42947i | 0.226447 | − | 0.0481329i | ||||
\(883\) | 28.8435 | − | 20.9560i | 0.970660 | − | 0.705226i | 0.0150579 | − | 0.999887i | \(-0.495207\pi\) |
0.955602 | + | 0.294661i | \(0.0952068\pi\) | |||||||
\(884\) | −6.08870 | + | 57.9301i | −0.204785 | + | 1.94840i | ||||
\(885\) | 3.29456 | − | 1.07047i | 0.110745 | − | 0.0359833i | ||||
\(886\) | −0.461819 | − | 0.0981626i | −0.0155151 | − | 0.00329784i | ||||
\(887\) | −3.68565 | + | 1.64096i | −0.123752 | + | 0.0550979i | −0.467679 | − | 0.883899i | \(-0.654910\pi\) |
0.343927 | + | 0.938997i | \(0.388243\pi\) | |||||||
\(888\) | −12.9079 | + | 1.35667i | −0.433160 | + | 0.0455270i | ||||
\(889\) | −10.3315 | + | 2.19603i | −0.346507 | + | 0.0736524i | ||||
\(890\) | −3.19350 | −0.107046 | ||||||||
\(891\) | −19.7188 | + | 22.4091i | −0.660606 | + | 0.750733i | ||||
\(892\) | 28.7508 | 0.962647 | ||||||||
\(893\) | −11.6833 | + | 2.48335i | −0.390965 | + | 0.0831023i | ||||
\(894\) | 9.98806 | − | 1.04979i | 0.334051 | − | 0.0351101i | ||||
\(895\) | 5.70895 | − | 2.54179i | 0.190829 | − | 0.0849626i | ||||
\(896\) | 9.86968 | + | 2.09786i | 0.329723 | + | 0.0700847i | ||||
\(897\) | 49.2347 | − | 15.9973i | 1.64390 | − | 0.534136i | ||||
\(898\) | 0.298335 | − | 2.83847i | 0.00995556 | − | 0.0947209i | ||||
\(899\) | 2.42705 | − | 1.76336i | 0.0809467 | − | 0.0588112i | ||||
\(900\) | 18.8910 | − | 4.01542i | 0.629702 | − | 0.133847i | ||||
\(901\) | 19.8541 | 0.661436 | ||||||||
\(902\) | −2.16984 | − | 2.35523i | −0.0722477 | − | 0.0784207i | ||||
\(903\) | −2.78115 | + | 1.60570i | −0.0925510 | + | 0.0534343i | ||||
\(904\) | 16.9784 | + | 18.8564i | 0.564694 | + | 0.627156i | ||||
\(905\) | −1.28039 | − | 12.1821i | −0.0425617 | − | 0.404947i | ||||
\(906\) | 2.84649 | + | 0.299178i | 0.0945684 | + | 0.00993954i | ||||
\(907\) | −9.75833 | + | 10.8377i | −0.324020 | + | 0.359861i | −0.883043 | − | 0.469291i | \(-0.844509\pi\) |
0.559024 | + | 0.829152i | \(0.311176\pi\) | |||||||
\(908\) | 9.52129 | + | 29.3035i | 0.315975 | + | 0.972471i | ||||
\(909\) | 23.2190 | − | 10.3378i | 0.770127 | − | 0.342883i | ||||
\(910\) | −2.47214 | + | 1.79611i | −0.0819505 | + | 0.0595405i | ||||
\(911\) | 18.7612 | − | 3.98782i | 0.621586 | − | 0.132122i | 0.113656 | − | 0.993520i | \(-0.463744\pi\) |
0.507931 | + | 0.861398i | \(0.330411\pi\) | |||||||
\(912\) | 5.44886i | 0.180430i | ||||||||
\(913\) | 9.65487 | − | 30.9105i | 0.319529 | − | 1.02299i | ||||
\(914\) | −0.190983 | + | 0.330792i | −0.00631716 | + | 0.0109416i | ||||
\(915\) | 17.2691 | − | 15.5492i | 0.570900 | − | 0.514040i | ||||
\(916\) | −17.2435 | − | 7.67731i | −0.569742 | − | 0.253666i | ||||
\(917\) | 17.1803 | + | 12.4822i | 0.567345 | + | 0.412200i | ||||
\(918\) | 7.15960 | + | 6.44654i | 0.236302 | + | 0.212767i | ||||
\(919\) | −8.30244 | − | 25.5523i | −0.273872 | − | 0.842892i | −0.989516 | − | 0.144426i | \(-0.953866\pi\) |
0.715643 | − | 0.698466i | \(-0.246134\pi\) | |||||||
\(920\) | 0.878379 | − | 8.35722i | 0.0289593 | − | 0.275529i | ||||
\(921\) | 13.5292 | − | 1.42197i | 0.445802 | − | 0.0468556i | ||||
\(922\) | 4.12665 | + | 4.58311i | 0.135904 | + | 0.150937i | ||||
\(923\) | −9.41641 | + | 16.3097i | −0.309945 | + | 0.536840i | ||||
\(924\) | −7.99606 | − | 7.03612i | −0.263051 | − | 0.231471i | ||||
\(925\) | −8.83688 | − | 15.3059i | −0.290555 | − | 0.503256i | ||||
\(926\) | −2.00658 | + | 6.17561i | −0.0659402 | + | 0.202943i | ||||
\(927\) | −24.8435 | + | 18.0498i | −0.815966 | + | 0.592834i | ||||
\(928\) | −16.2812 | − | 11.8290i | −0.534455 | − | 0.388304i | ||||
\(929\) | −32.2993 | + | 35.8720i | −1.05970 | + | 1.17692i | −0.0760042 | + | 0.997107i | \(0.524216\pi\) |
−0.983701 | + | 0.179814i | \(0.942450\pi\) | |||||||
\(930\) | 0.375590 | + | 0.338182i | 0.0123161 | + | 0.0110894i | ||||
\(931\) | −5.48127 | + | 2.44042i | −0.179641 | + | 0.0799815i | ||||
\(932\) | −2.15602 | − | 20.5132i | −0.0706228 | − | 0.671931i | ||||
\(933\) | −5.46665 | − | 25.7186i | −0.178970 | − | 0.841988i | ||||
\(934\) | −0.145898 | − | 0.252703i | −0.00477393 | − | 0.00826869i | ||||
\(935\) | −10.1459 | − | 17.1190i | −0.331806 | − | 0.559852i | ||||
\(936\) | 28.5836 | 0.934284 | ||||||||
\(937\) | −7.11803 | + | 21.9071i | −0.232536 | + | 0.715672i | 0.764903 | + | 0.644146i | \(0.222787\pi\) |
−0.997439 | + | 0.0715265i | \(0.977213\pi\) | |||||||
\(938\) | 2.09366 | + | 0.932157i | 0.0683604 | + | 0.0304360i | ||||
\(939\) | 3.53489 | − | 4.86536i | 0.115357 | − | 0.158775i | ||||
\(940\) | −26.7757 | − | 5.69134i | −0.873325 | − | 0.185631i | ||||
\(941\) | −26.5656 | − | 5.64668i | −0.866013 | − | 0.184077i | −0.246576 | − | 0.969123i | \(-0.579306\pi\) |
−0.619436 | + | 0.785047i | \(0.712639\pi\) | |||||||
\(942\) | −1.92289 | − | 4.31889i | −0.0626513 | − | 0.140717i | ||||
\(943\) | −10.6645 | − | 4.74815i | −0.347284 | − | 0.154621i | ||||
\(944\) | 1.57295 | − | 4.84104i | 0.0511951 | − | 0.157562i | ||||
\(945\) | − | 6.42280i | − | 0.208934i | ||||||
\(946\) | 2.15654 | + | 0.930812i | 0.0701152 | + | 0.0302633i | ||||
\(947\) | −18.3541 | − | 31.7902i | −0.596428 | − | 1.03304i | −0.993344 | − | 0.115189i | \(-0.963253\pi\) |
0.396915 | − | 0.917855i | \(-0.370081\pi\) | |||||||
\(948\) | 25.2073 | − | 22.6968i | 0.818695 | − | 0.737157i | ||||
\(949\) | −0.0987033 | − | 0.939099i | −0.00320404 | − | 0.0304844i | ||||
\(950\) | 1.21158 | − | 0.539430i | 0.0393088 | − | 0.0175014i | ||||
\(951\) | −34.5010 | + | 11.2101i | −1.11877 | + | 0.363511i | ||||
\(952\) | −4.78154 | + | 5.31044i | −0.154971 | + | 0.172112i | ||||
\(953\) | 7.68034 | + | 5.58009i | 0.248791 | + | 0.180757i | 0.705191 | − | 0.709018i | \(-0.250861\pi\) |
−0.456400 | + | 0.889775i | \(0.650861\pi\) | |||||||
\(954\) | −0.489916 | − | 4.66124i | −0.0158616 | − | 0.150913i | ||||
\(955\) | −2.27051 | + | 6.98791i | −0.0734720 | + | 0.226123i | ||||
\(956\) | 9.70820 | + | 16.8151i | 0.313986 | + | 0.543839i | ||||
\(957\) | 11.6317 | + | 25.3428i | 0.375999 | + | 0.819218i | ||||
\(958\) | −2.24671 | + | 3.89142i | −0.0725879 | + | 0.125726i | ||||
\(959\) | 5.76659 | + | 6.40445i | 0.186213 | + | 0.206810i | ||||
\(960\) | −4.09988 | + | 9.20849i | −0.132323 | + | 0.297203i | ||||
\(961\) | 3.20046 | − | 30.4503i | 0.103241 | − | 0.982268i | ||||
\(962\) | −3.88854 | − | 11.9677i | −0.125372 | − | 0.385854i | ||||
\(963\) | −28.1726 | + | 31.2889i | −0.907850 | + | 1.00827i | ||||
\(964\) | −40.2492 | − | 29.2428i | −1.29634 | − | 0.941846i | ||||
\(965\) | 12.4212 | + | 5.53030i | 0.399854 | + | 0.178027i | ||||
\(966\) | 2.90569 | + | 0.944115i | 0.0934889 | + | 0.0303764i | ||||
\(967\) | −26.2426 | + | 45.4536i | −0.843907 | + | 1.46169i | 0.0426608 | + | 0.999090i | \(0.486417\pi\) |
−0.886567 | + | 0.462599i | \(0.846917\pi\) | |||||||
\(968\) | −1.32469 | + | 16.1392i | −0.0425771 | + | 0.518734i | ||||
\(969\) | −7.28115 | − | 4.20378i | −0.233904 | − | 0.135045i | ||||
\(970\) | −2.77091 | + | 0.588976i | −0.0889686 | + | 0.0189109i | ||||
\(971\) | −7.50000 | + | 5.44907i | −0.240686 | + | 0.174869i | −0.701589 | − | 0.712582i | \(-0.747526\pi\) |
0.460903 | + | 0.887451i | \(0.347526\pi\) | |||||||
\(972\) | −16.9885 | + | 23.3827i | −0.544907 | + | 0.750000i | ||||
\(973\) | −3.00000 | − | 9.23305i | −0.0961756 | − | 0.295998i | ||||
\(974\) | 3.31717 | − | 3.68409i | 0.106289 | − | 0.118046i | ||||
\(975\) | 15.8314 | + | 35.5578i | 0.507009 | + | 1.13876i | ||||
\(976\) | −3.56922 | − | 33.9588i | −0.114248 | − | 1.08700i | ||||
\(977\) | 10.5481 | + | 11.7149i | 0.337465 | + | 0.374792i | 0.887862 | − | 0.460111i | \(-0.152190\pi\) |
−0.550397 | + | 0.834903i | \(0.685524\pi\) | |||||||
\(978\) | − | 13.7002i | − | 0.438085i | ||||||
\(979\) | 20.3885 | − | 9.35778i | 0.651619 | − | 0.299076i | ||||
\(980\) | −13.7508 | −0.439252 | ||||||||
\(981\) | 20.9692 | − | 4.45715i | 0.669496 | − | 0.142306i | ||||
\(982\) | 2.26393 | − | 1.64484i | 0.0722450 | − | 0.0524890i | ||||
\(983\) | −0.967657 | + | 9.20664i | −0.0308635 | + | 0.293646i | 0.968193 | + | 0.250206i | \(0.0804984\pi\) |
−0.999056 | + | 0.0434400i | \(0.986168\pi\) | |||||||
\(984\) | −4.79000 | − | 4.31294i | −0.152700 | − | 0.137491i | ||||
\(985\) | 9.95788 | + | 2.11661i | 0.317284 | + | 0.0674409i | ||||
\(986\) | 8.22191 | − | 3.66063i | 0.261839 | − | 0.116578i | ||||
\(987\) | 8.41460 | − | 18.8995i | 0.267840 | − | 0.601578i | ||||
\(988\) | −11.7378 | + | 2.49494i | −0.373428 | + | 0.0793746i | ||||
\(989\) | 8.56231 | 0.272265 | ||||||||
\(990\) | −3.76876 | + | 2.80443i | −0.119779 | + | 0.0891305i | ||||
\(991\) | 20.5967 | 0.654277 | 0.327139 | − | 0.944976i | \(-0.393916\pi\) | ||||
0.327139 | + | 0.944976i | \(0.393916\pi\) | |||||||
\(992\) | 2.50631 | − | 0.532733i | 0.0795755 | − | 0.0169143i | ||||
\(993\) | −14.6770 | − | 20.2011i | −0.465760 | − | 0.641063i | ||||
\(994\) | −1.01537 | + | 0.452070i | −0.0322054 | + | 0.0143388i | ||||
\(995\) | −8.63980 | − | 1.83645i | −0.273900 | − | 0.0582192i | ||||
\(996\) | 6.51925 | − | 30.6707i | 0.206570 | − | 0.971838i | ||||
\(997\) | −0.771626 | + | 7.34153i | −0.0244376 | + | 0.232508i | 0.975485 | + | 0.220066i | \(0.0706273\pi\) |
−0.999923 | + | 0.0124424i | \(0.996039\pi\) | |||||||
\(998\) | 11.8713 | − | 8.62502i | 0.375780 | − | 0.273020i | ||||
\(999\) | 25.1548 | + | 8.17328i | 0.795862 | + | 0.258591i |
(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 | 99.2.m.a.31.1 | yes | 8 | |
3.2 | odd | 2 | 297.2.n.a.64.1 | 8 | |||
9.2 | odd | 6 | 297.2.n.a.262.1 | 8 | |||
9.4 | even | 3 | 891.2.f.b.163.1 | 4 | |||
9.5 | odd | 6 | 891.2.f.a.163.1 | 4 | |||
9.7 | even | 3 | inner | 99.2.m.a.97.1 | yes | 8 | |
11.4 | even | 5 | 1089.2.e.g.364.1 | 4 | |||
11.5 | even | 5 | inner | 99.2.m.a.49.1 | yes | 8 | |
11.7 | odd | 10 | 1089.2.e.d.364.2 | 4 | |||
33.5 | odd | 10 | 297.2.n.a.280.1 | 8 | |||
99.4 | even | 15 | 9801.2.a.n.1.2 | 2 | |||
99.5 | odd | 30 | 891.2.f.a.82.1 | 4 | |||
99.7 | odd | 30 | 1089.2.e.d.727.2 | 4 | |||
99.16 | even | 15 | inner | 99.2.m.a.16.1 | ✓ | 8 | |
99.38 | odd | 30 | 297.2.n.a.181.1 | 8 | |||
99.40 | odd | 30 | 9801.2.a.bc.1.1 | 2 | |||
99.49 | even | 15 | 891.2.f.b.82.1 | 4 | |||
99.59 | odd | 30 | 9801.2.a.bb.1.1 | 2 | |||
99.70 | even | 15 | 1089.2.e.g.727.1 | 4 | |||
99.95 | even | 30 | 9801.2.a.m.1.2 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.a.16.1 | ✓ | 8 | 99.16 | even | 15 | inner | |
99.2.m.a.31.1 | yes | 8 | 1.1 | even | 1 | trivial | |
99.2.m.a.49.1 | yes | 8 | 11.5 | even | 5 | inner | |
99.2.m.a.97.1 | yes | 8 | 9.7 | even | 3 | inner | |
297.2.n.a.64.1 | 8 | 3.2 | odd | 2 | |||
297.2.n.a.181.1 | 8 | 99.38 | odd | 30 | |||
297.2.n.a.262.1 | 8 | 9.2 | odd | 6 | |||
297.2.n.a.280.1 | 8 | 33.5 | odd | 10 | |||
891.2.f.a.82.1 | 4 | 99.5 | odd | 30 | |||
891.2.f.a.163.1 | 4 | 9.5 | odd | 6 | |||
891.2.f.b.82.1 | 4 | 99.49 | even | 15 | |||
891.2.f.b.163.1 | 4 | 9.4 | even | 3 | |||
1089.2.e.d.364.2 | 4 | 11.7 | odd | 10 | |||
1089.2.e.d.727.2 | 4 | 99.7 | odd | 30 | |||
1089.2.e.g.364.1 | 4 | 11.4 | even | 5 | |||
1089.2.e.g.727.1 | 4 | 99.70 | even | 15 | |||
9801.2.a.m.1.2 | 2 | 99.95 | even | 30 | |||
9801.2.a.n.1.2 | 2 | 99.4 | even | 15 | |||
9801.2.a.bb.1.1 | 2 | 99.59 | odd | 30 | |||
9801.2.a.bc.1.1 | 2 | 99.40 | odd | 30 |