Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(7,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.l (of order \(12\), degree \(4\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 7.18 | ||
Character | \(\chi\) | \(=\) | 430.7 |
Dual form | 430.2.l.a.123.18 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 0.707107i | 0.500000 | − | 0.500000i | ||||
\(3\) | 0.0996077 | − | 0.371741i | 0.0575085 | − | 0.214625i | −0.931192 | − | 0.364529i | \(-0.881230\pi\) |
0.988700 | + | 0.149904i | \(0.0478966\pi\) | |||||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | 2.14837 | − | 0.620072i | 0.960782 | − | 0.277305i | ||||
\(6\) | −0.192427 | − | 0.333294i | −0.0785581 | − | 0.136067i | ||||
\(7\) | 1.10238 | + | 4.11412i | 0.416659 | + | 1.55499i | 0.781490 | + | 0.623918i | \(0.214460\pi\) |
−0.364831 | + | 0.931074i | \(0.618873\pi\) | |||||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 2.46981 | + | 1.42594i | 0.823269 | + | 0.475314i | ||||
\(10\) | 1.08067 | − | 1.95759i | 0.341739 | − | 0.619043i | ||||
\(11\) | 0.0420741 | 0.0126858 | 0.00634291 | − | 0.999980i | \(-0.497981\pi\) | ||||
0.00634291 | + | 0.999980i | \(0.497981\pi\) | |||||||
\(12\) | −0.371741 | − | 0.0996077i | −0.107312 | − | 0.0287543i | ||||
\(13\) | 0.445268 | + | 1.66176i | 0.123495 | + | 0.460890i | 0.999782 | − | 0.0209003i | \(-0.00665324\pi\) |
−0.876286 | + | 0.481791i | \(0.839987\pi\) | |||||||
\(14\) | 3.68862 | + | 2.12963i | 0.985825 | + | 0.569166i | ||||
\(15\) | −0.0165118 | − | 0.860403i | −0.00426332 | − | 0.222155i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −0.548777 | + | 0.147044i | −0.133098 | + | 0.0356635i | −0.324753 | − | 0.945799i | \(-0.605281\pi\) |
0.191655 | + | 0.981462i | \(0.438615\pi\) | |||||||
\(18\) | 2.75471 | − | 0.738123i | 0.649292 | − | 0.173977i | ||||
\(19\) | −3.77954 | − | 6.54635i | −0.867086 | − | 1.50184i | −0.864961 | − | 0.501838i | \(-0.832657\pi\) |
−0.00212420 | − | 0.999998i | \(-0.500676\pi\) | |||||||
\(20\) | −0.620072 | − | 2.14837i | −0.138652 | − | 0.480391i | ||||
\(21\) | 1.63919 | 0.357701 | ||||||||
\(22\) | 0.0297509 | − | 0.0297509i | 0.00634291 | − | 0.00634291i | ||||
\(23\) | −3.00934 | − | 0.806352i | −0.627492 | − | 0.168136i | −0.0689605 | − | 0.997619i | \(-0.521968\pi\) |
−0.558531 | + | 0.829483i | \(0.688635\pi\) | |||||||
\(24\) | −0.333294 | + | 0.192427i | −0.0680333 | + | 0.0392791i | ||||
\(25\) | 4.23102 | − | 2.66429i | 0.846204 | − | 0.532859i | ||||
\(26\) | 1.48990 | + | 0.860192i | 0.292193 | + | 0.168698i | ||||
\(27\) | 1.59249 | − | 1.59249i | 0.306475 | − | 0.306475i | ||||
\(28\) | 4.11412 | − | 1.10238i | 0.777496 | − | 0.208329i | ||||
\(29\) | −3.38993 | + | 5.87153i | −0.629495 | + | 1.09032i | 0.358159 | + | 0.933661i | \(0.383405\pi\) |
−0.987653 | + | 0.156656i | \(0.949929\pi\) | |||||||
\(30\) | −0.620072 | − | 0.596721i | −0.113209 | − | 0.108946i | ||||
\(31\) | −5.03145 | − | 8.71473i | −0.903675 | − | 1.56521i | −0.822686 | − | 0.568496i | \(-0.807525\pi\) |
−0.0809895 | − | 0.996715i | \(-0.525808\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | 0.00419090 | − | 0.0156407i | 0.000729543 | − | 0.00272269i | ||||
\(34\) | −0.284068 | + | 0.492020i | −0.0487172 | + | 0.0843807i | ||||
\(35\) | 4.91937 | + | 8.15512i | 0.831525 | + | 1.37847i | ||||
\(36\) | 1.42594 | − | 2.46981i | 0.237657 | − | 0.411634i | ||||
\(37\) | −6.11891 | − | 1.63956i | −1.00594 | − | 0.269541i | −0.282009 | − | 0.959412i | \(-0.591001\pi\) |
−0.723933 | + | 0.689870i | \(0.757668\pi\) | |||||||
\(38\) | −7.30151 | − | 1.95643i | −1.18446 | − | 0.317375i | ||||
\(39\) | 0.662098 | 0.106021 | ||||||||
\(40\) | −1.95759 | − | 1.08067i | −0.309522 | − | 0.170869i | ||||
\(41\) | 2.65867 | 0.415215 | 0.207607 | − | 0.978212i | \(-0.433432\pi\) | ||||
0.207607 | + | 0.978212i | \(0.433432\pi\) | |||||||
\(42\) | 1.15908 | − | 1.15908i | 0.178851 | − | 0.178851i | ||||
\(43\) | 6.19255 | − | 2.15692i | 0.944355 | − | 0.328927i | ||||
\(44\) | − | 0.0420741i | − | 0.00634291i | ||||||
\(45\) | 6.19026 | + | 1.53200i | 0.922789 | + | 0.228377i | ||||
\(46\) | −2.69810 | + | 1.55775i | −0.397814 | + | 0.229678i | ||||
\(47\) | −3.66812 | − | 3.66812i | −0.535050 | − | 0.535050i | 0.387021 | − | 0.922071i | \(-0.373504\pi\) |
−0.922071 | + | 0.387021i | \(0.873504\pi\) | |||||||
\(48\) | −0.0996077 | + | 0.371741i | −0.0143771 | + | 0.0536562i | ||||
\(49\) | −9.64858 | + | 5.57061i | −1.37837 | + | 0.795802i | ||||
\(50\) | 1.10784 | − | 4.87572i | 0.156673 | − | 0.689532i | ||||
\(51\) | 0.218650i | 0.0306171i | ||||||||
\(52\) | 1.66176 | − | 0.445268i | 0.230445 | − | 0.0617476i | ||||
\(53\) | 7.35064 | + | 1.96960i | 1.00969 | + | 0.270545i | 0.725499 | − | 0.688223i | \(-0.241609\pi\) |
0.284189 | + | 0.958768i | \(0.408276\pi\) | |||||||
\(54\) | − | 2.25213i | − | 0.306475i | ||||||
\(55\) | 0.0903909 | − | 0.0260890i | 0.0121883 | − | 0.00351784i | ||||
\(56\) | 2.12963 | − | 3.68862i | 0.284583 | − | 0.492913i | ||||
\(57\) | −2.81002 | + | 0.752942i | −0.372196 | + | 0.0997296i | ||||
\(58\) | 1.75476 | + | 6.54885i | 0.230411 | + | 0.859906i | ||||
\(59\) | 11.1091i | 1.44628i | 0.690701 | + | 0.723140i | \(0.257302\pi\) | ||||
−0.690701 | + | 0.723140i | \(0.742698\pi\) | |||||||
\(60\) | −0.860403 | + | 0.0165118i | −0.111077 | + | 0.00213166i | ||||
\(61\) | 0.988247 | + | 0.570565i | 0.126532 | + | 0.0730533i | 0.561930 | − | 0.827185i | \(-0.310059\pi\) |
−0.435398 | + | 0.900238i | \(0.643392\pi\) | |||||||
\(62\) | −9.72002 | − | 2.60447i | −1.23444 | − | 0.330768i | ||||
\(63\) | −3.14385 | + | 11.7330i | −0.396088 | + | 1.47822i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 1.98702 | + | 3.29399i | 0.246459 | + | 0.408569i | ||||
\(66\) | −0.00809621 | − | 0.0140230i | −0.000996574 | − | 0.00172612i | ||||
\(67\) | −1.80106 | + | 6.72166i | −0.220035 | + | 0.821182i | 0.764298 | + | 0.644863i | \(0.223086\pi\) |
−0.984333 | + | 0.176319i | \(0.943581\pi\) | |||||||
\(68\) | 0.147044 | + | 0.548777i | 0.0178317 | + | 0.0665490i | ||||
\(69\) | −0.599508 | + | 1.03838i | −0.0721723 | + | 0.125006i | ||||
\(70\) | 9.24506 | + | 2.28802i | 1.10500 | + | 0.273471i | ||||
\(71\) | −11.4295 | − | 6.59884i | −1.35644 | − | 0.783138i | −0.367294 | − | 0.930105i | \(-0.619716\pi\) |
−0.989141 | + | 0.146967i | \(0.953049\pi\) | |||||||
\(72\) | −0.738123 | − | 2.75471i | −0.0869886 | − | 0.324646i | ||||
\(73\) | 12.2318 | − | 3.27750i | 1.43162 | − | 0.383602i | 0.542030 | − | 0.840359i | \(-0.317656\pi\) |
0.889591 | + | 0.456757i | \(0.150989\pi\) | |||||||
\(74\) | −5.48606 | + | 3.16738i | −0.637742 | + | 0.368200i | ||||
\(75\) | −0.568985 | − | 1.83823i | −0.0657008 | − | 0.212260i | ||||
\(76\) | −6.54635 | + | 3.77954i | −0.750918 | + | 0.433543i | ||||
\(77\) | 0.0463815 | + | 0.173098i | 0.00528566 | + | 0.0197263i | ||||
\(78\) | 0.468174 | − | 0.468174i | 0.0530103 | − | 0.0530103i | ||||
\(79\) | −8.68436 | − | 5.01392i | −0.977067 | − | 0.564110i | −0.0756834 | − | 0.997132i | \(-0.524114\pi\) |
−0.901383 | + | 0.433022i | \(0.857447\pi\) | |||||||
\(80\) | −2.14837 | + | 0.620072i | −0.240195 | + | 0.0693262i | ||||
\(81\) | 3.84446 | + | 6.65880i | 0.427162 | + | 0.739867i | ||||
\(82\) | 1.87996 | − | 1.87996i | 0.207607 | − | 0.207607i | ||||
\(83\) | −3.03214 | − | 0.812460i | −0.332821 | − | 0.0891791i | 0.0885386 | − | 0.996073i | \(-0.471780\pi\) |
−0.421360 | + | 0.906894i | \(0.638447\pi\) | |||||||
\(84\) | − | 1.63919i | − | 0.178851i | ||||||
\(85\) | −1.08780 | + | 0.656188i | −0.117988 | + | 0.0711736i | ||||
\(86\) | 2.85362 | − | 5.90397i | 0.307714 | − | 0.636641i | ||||
\(87\) | 1.84503 | + | 1.84503i | 0.197808 | + | 0.197808i | ||||
\(88\) | −0.0297509 | − | 0.0297509i | −0.00317145 | − | 0.00317145i | ||||
\(89\) | −6.93640 | − | 12.0142i | −0.735257 | − | 1.27350i | −0.954611 | − | 0.297856i | \(-0.903728\pi\) |
0.219354 | − | 0.975645i | \(-0.429605\pi\) | |||||||
\(90\) | 5.46046 | − | 3.29388i | 0.575583 | − | 0.347206i | ||||
\(91\) | −6.34584 | + | 3.66378i | −0.665225 | + | 0.384068i | ||||
\(92\) | −0.806352 | + | 3.00934i | −0.0840680 | + | 0.313746i | ||||
\(93\) | −3.74079 | + | 1.00234i | −0.387902 | + | 0.103938i | ||||
\(94\) | −5.18750 | −0.535050 | ||||||||
\(95\) | −12.1791 | − | 11.7204i | −1.24955 | − | 1.20249i | ||||
\(96\) | 0.192427 | + | 0.333294i | 0.0196395 | + | 0.0340167i | ||||
\(97\) | −7.11526 | − | 7.11526i | −0.722445 | − | 0.722445i | 0.246658 | − | 0.969103i | \(-0.420668\pi\) |
−0.969103 | + | 0.246658i | \(0.920668\pi\) | |||||||
\(98\) | −2.88356 | + | 10.7616i | −0.291284 | + | 1.08709i | ||||
\(99\) | 0.103915 | + | 0.0599953i | 0.0104438 | + | 0.00602975i | ||||
\(100\) | −2.66429 | − | 4.23102i | −0.266429 | − | 0.423102i | ||||
\(101\) | −2.03224 | + | 3.51994i | −0.202215 | + | 0.350247i | −0.949242 | − | 0.314547i | \(-0.898147\pi\) |
0.747027 | + | 0.664794i | \(0.231481\pi\) | |||||||
\(102\) | 0.154609 | + | 0.154609i | 0.0153085 | + | 0.0153085i | ||||
\(103\) | 4.84672 | + | 18.0882i | 0.477561 | + | 1.78228i | 0.611447 | + | 0.791285i | \(0.290588\pi\) |
−0.133886 | + | 0.990997i | \(0.542746\pi\) | |||||||
\(104\) | 0.860192 | − | 1.48990i | 0.0843488 | − | 0.146096i | ||||
\(105\) | 3.52160 | − | 1.01642i | 0.343673 | − | 0.0991922i | ||||
\(106\) | 6.59041 | − | 3.80497i | 0.640117 | − | 0.369572i | ||||
\(107\) | 10.2856 | + | 10.2856i | 0.994345 | + | 0.994345i | 0.999984 | − | 0.00563890i | \(-0.00179493\pi\) |
−0.00563890 | + | 0.999984i | \(0.501795\pi\) | |||||||
\(108\) | −1.59249 | − | 1.59249i | −0.153238 | − | 0.153238i | ||||
\(109\) | 6.37593 | − | 3.68115i | 0.610704 | − | 0.352590i | −0.162537 | − | 0.986702i | \(-0.551968\pi\) |
0.773241 | + | 0.634113i | \(0.218634\pi\) | |||||||
\(110\) | 0.0454683 | − | 0.0823637i | 0.00433523 | − | 0.00785307i | ||||
\(111\) | −1.21898 | + | 2.11134i | −0.115701 | + | 0.200399i | ||||
\(112\) | −1.10238 | − | 4.11412i | −0.104165 | − | 0.388748i | ||||
\(113\) | 3.93692 | + | 3.93692i | 0.370354 | + | 0.370354i | 0.867606 | − | 0.497252i | \(-0.165658\pi\) |
−0.497252 | + | 0.867606i | \(0.665658\pi\) | |||||||
\(114\) | −1.45457 | + | 2.51939i | −0.136233 | + | 0.235963i | ||||
\(115\) | −6.96519 | + | 0.133667i | −0.649508 | + | 0.0124645i | ||||
\(116\) | 5.87153 | + | 3.38993i | 0.545158 | + | 0.314747i | ||||
\(117\) | −1.26985 | + | 4.73916i | −0.117398 | + | 0.438136i | ||||
\(118\) | 7.85532 | + | 7.85532i | 0.723140 | + | 0.723140i | ||||
\(119\) | −1.20992 | − | 2.09564i | −0.110913 | − | 0.192107i | ||||
\(120\) | −0.596721 | + | 0.620072i | −0.0544729 | + | 0.0566046i | ||||
\(121\) | −10.9982 | −0.999839 | ||||||||
\(122\) | 1.10225 | − | 0.295346i | 0.0997927 | − | 0.0267394i | ||||
\(123\) | 0.264824 | − | 0.988337i | 0.0238784 | − | 0.0891154i | ||||
\(124\) | −8.71473 | + | 5.03145i | −0.782606 | + | 0.451838i | ||||
\(125\) | 7.43776 | − | 8.34744i | 0.665253 | − | 0.746618i | ||||
\(126\) | 6.07345 | + | 10.5195i | 0.541066 | + | 0.937154i | ||||
\(127\) | −4.14066 | − | 4.14066i | −0.367424 | − | 0.367424i | 0.499113 | − | 0.866537i | \(-0.333659\pi\) |
−0.866537 | + | 0.499113i | \(0.833659\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | −0.184990 | − | 2.51687i | −0.0162875 | − | 0.221598i | ||||
\(130\) | 3.73424 | + | 0.924171i | 0.327514 | + | 0.0810551i | ||||
\(131\) | 11.9910i | 1.04766i | 0.851824 | + | 0.523828i | \(0.175497\pi\) | ||||
−0.851824 | + | 0.523828i | \(0.824503\pi\) | |||||||
\(132\) | −0.0156407 | − | 0.00419090i | −0.00136135 | − | 0.000364771i | ||||
\(133\) | 22.7660 | − | 22.7660i | 1.97406 | − | 1.97406i | ||||
\(134\) | 3.47939 | + | 6.02648i | 0.300573 | + | 0.520608i | ||||
\(135\) | 2.43381 | − | 4.40873i | 0.209469 | − | 0.379443i | ||||
\(136\) | 0.492020 | + | 0.284068i | 0.0421904 | + | 0.0243586i | ||||
\(137\) | −4.58660 | + | 4.58660i | −0.391859 | + | 0.391859i | −0.875350 | − | 0.483490i | \(-0.839369\pi\) |
0.483490 | + | 0.875350i | \(0.339369\pi\) | |||||||
\(138\) | 0.310328 | + | 1.15816i | 0.0264169 | + | 0.0985891i | ||||
\(139\) | 16.7136 | − | 9.64959i | 1.41763 | − | 0.818467i | 0.421537 | − | 0.906811i | \(-0.361491\pi\) |
0.996090 | + | 0.0883439i | \(0.0281575\pi\) | |||||||
\(140\) | 8.15512 | − | 4.91937i | 0.689233 | − | 0.415762i | ||||
\(141\) | −1.72896 | + | 0.998217i | −0.145605 | + | 0.0840650i | ||||
\(142\) | −12.7480 | + | 3.41581i | −1.06979 | + | 0.286648i | ||||
\(143\) | 0.0187343 | + | 0.0699172i | 0.00156664 | + | 0.00584677i | ||||
\(144\) | −2.46981 | − | 1.42594i | −0.205817 | − | 0.118829i | ||||
\(145\) | −3.64206 | + | 14.7163i | −0.302457 | + | 1.22212i | ||||
\(146\) | 6.33164 | − | 10.9667i | 0.524010 | − | 0.907612i | ||||
\(147\) | 1.10975 | + | 4.14165i | 0.0915308 | + | 0.341597i | ||||
\(148\) | −1.63956 | + | 6.11891i | −0.134771 | + | 0.502971i | ||||
\(149\) | −2.49758 | − | 4.32594i | −0.204610 | − | 0.354395i | 0.745399 | − | 0.666619i | \(-0.232259\pi\) |
−0.950008 | + | 0.312225i | \(0.898926\pi\) | |||||||
\(150\) | −1.70216 | − | 0.897490i | −0.138981 | − | 0.0732798i | ||||
\(151\) | 4.57950i | 0.372675i | 0.982486 | + | 0.186337i | \(0.0596617\pi\) | ||||
−0.982486 | + | 0.186337i | \(0.940338\pi\) | |||||||
\(152\) | −1.95643 | + | 7.30151i | −0.158688 | + | 0.592230i | ||||
\(153\) | −1.56505 | − | 0.419354i | −0.126527 | − | 0.0339028i | ||||
\(154\) | 0.155195 | + | 0.0896021i | 0.0125060 | + | 0.00722034i | ||||
\(155\) | −16.2132 | − | 15.6026i | −1.30228 | − | 1.25323i | ||||
\(156\) | − | 0.662098i | − | 0.0530103i | ||||||
\(157\) | 3.33636 | + | 12.4515i | 0.266270 | + | 0.993735i | 0.961468 | + | 0.274916i | \(0.0886502\pi\) |
−0.695198 | + | 0.718819i | \(0.744683\pi\) | |||||||
\(158\) | −9.68614 | + | 2.59539i | −0.770588 | + | 0.206478i | ||||
\(159\) | 1.46436 | − | 2.53635i | 0.116131 | − | 0.201145i | ||||
\(160\) | −1.08067 | + | 1.95759i | −0.0854346 | + | 0.154761i | ||||
\(161\) | − | 13.2697i | − | 1.04580i | ||||||
\(162\) | 7.42693 | + | 1.99004i | 0.583514 | + | 0.156352i | ||||
\(163\) | 1.79339 | − | 0.480539i | 0.140470 | − | 0.0376387i | −0.187899 | − | 0.982188i | \(-0.560168\pi\) |
0.328369 | + | 0.944550i | \(0.393501\pi\) | |||||||
\(164\) | − | 2.65867i | − | 0.207607i | ||||||
\(165\) | −0.000694718 | − | 0.0362007i | −5.40837e−5 | − | 0.00281822i | ||||
\(166\) | −2.71855 | + | 1.56955i | −0.211000 | + | 0.121821i | ||||
\(167\) | 1.31319 | − | 4.90090i | 0.101618 | − | 0.379243i | −0.896322 | − | 0.443404i | \(-0.853771\pi\) |
0.997940 | + | 0.0641615i | \(0.0204373\pi\) | |||||||
\(168\) | −1.15908 | − | 1.15908i | −0.0894253 | − | 0.0894253i | ||||
\(169\) | 8.69513 | − | 5.02014i | 0.668857 | − | 0.386164i | ||||
\(170\) | −0.305196 | + | 1.23319i | −0.0234075 | + | 0.0945810i | ||||
\(171\) | − | 21.5576i | − | 1.64855i | ||||||
\(172\) | −2.15692 | − | 6.19255i | −0.164464 | − | 0.472178i | ||||
\(173\) | −8.16518 | + | 8.16518i | −0.620787 | + | 0.620787i | −0.945733 | − | 0.324946i | \(-0.894654\pi\) |
0.324946 | + | 0.945733i | \(0.394654\pi\) | |||||||
\(174\) | 2.60926 | 0.197808 | ||||||||
\(175\) | 15.6254 | + | 14.4699i | 1.18117 | + | 1.09382i | ||||
\(176\) | −0.0420741 | −0.00317145 | ||||||||
\(177\) | 4.12971 | + | 1.10655i | 0.310408 | + | 0.0831735i | ||||
\(178\) | −13.4001 | − | 3.59054i | −1.00438 | − | 0.269123i | ||||
\(179\) | 0.235089 | − | 0.407187i | 0.0175714 | − | 0.0304346i | −0.857106 | − | 0.515140i | \(-0.827740\pi\) |
0.874677 | + | 0.484706i | \(0.161073\pi\) | |||||||
\(180\) | 1.53200 | − | 6.19026i | 0.114189 | − | 0.461394i | ||||
\(181\) | 8.71967 | − | 15.1029i | 0.648128 | − | 1.12259i | −0.335442 | − | 0.942061i | \(-0.608886\pi\) |
0.983570 | − | 0.180530i | \(-0.0577812\pi\) | |||||||
\(182\) | −1.89651 | + | 7.07787i | −0.140579 | + | 0.524647i | ||||
\(183\) | 0.310539 | − | 0.310539i | 0.0229557 | − | 0.0229557i | ||||
\(184\) | 1.55775 | + | 2.69810i | 0.114839 | + | 0.198907i | ||||
\(185\) | −14.1623 | + | 0.271786i | −1.04124 | + | 0.0199821i | ||||
\(186\) | −1.93638 | + | 3.35390i | −0.141982 | + | 0.245920i | ||||
\(187\) | −0.0230893 | + | 0.00618676i | −0.00168846 | + | 0.000452421i | ||||
\(188\) | −3.66812 | + | 3.66812i | −0.267525 | + | 0.267525i | ||||
\(189\) | 8.30724 | + | 4.79618i | 0.604262 | + | 0.348871i | ||||
\(190\) | −16.8995 | + | 0.324314i | −1.22602 | + | 0.0235282i | ||||
\(191\) | 0.385625 | − | 0.222641i | 0.0279028 | − | 0.0161097i | −0.485984 | − | 0.873968i | \(-0.661539\pi\) |
0.513887 | + | 0.857858i | \(0.328205\pi\) | |||||||
\(192\) | 0.371741 | + | 0.0996077i | 0.0268281 | + | 0.00718857i | ||||
\(193\) | 3.23148 | − | 3.23148i | 0.232607 | − | 0.232607i | −0.581173 | − | 0.813780i | \(-0.697406\pi\) |
0.813780 | + | 0.581173i | \(0.197406\pi\) | |||||||
\(194\) | −10.0625 | −0.722445 | ||||||||
\(195\) | 1.42243 | − | 0.410549i | 0.101863 | − | 0.0294000i | ||||
\(196\) | 5.57061 | + | 9.64858i | 0.397901 | + | 0.689184i | ||||
\(197\) | −10.6964 | + | 2.86609i | −0.762085 | + | 0.204200i | −0.618872 | − | 0.785492i | \(-0.712410\pi\) |
−0.143213 | + | 0.989692i | \(0.545743\pi\) | |||||||
\(198\) | 0.115902 | − | 0.0310558i | 0.00823680 | − | 0.00220704i | ||||
\(199\) | −8.47113 | −0.600502 | −0.300251 | − | 0.953860i | \(-0.597070\pi\) | ||||
−0.300251 | + | 0.953860i | \(0.597070\pi\) | |||||||
\(200\) | −4.87572 | − | 1.10784i | −0.344766 | − | 0.0783363i | ||||
\(201\) | 2.31932 | + | 1.33906i | 0.163592 | + | 0.0944499i | ||||
\(202\) | 1.05196 | + | 3.92598i | 0.0740158 | + | 0.276231i | ||||
\(203\) | −27.8932 | − | 7.47396i | −1.95772 | − | 0.524569i | ||||
\(204\) | 0.218650 | 0.0153085 | ||||||||
\(205\) | 5.71182 | − | 1.64857i | 0.398931 | − | 0.115141i | ||||
\(206\) | 16.2174 | + | 9.36313i | 1.12992 | + | 0.652361i | ||||
\(207\) | −6.28269 | − | 6.28269i | −0.436677 | − | 0.436677i | ||||
\(208\) | −0.445268 | − | 1.66176i | −0.0308738 | − | 0.115223i | ||||
\(209\) | −0.159021 | − | 0.275432i | −0.0109997 | − | 0.0190520i | ||||
\(210\) | 1.77143 | − | 3.20886i | 0.122240 | − | 0.221433i | ||||
\(211\) | 2.28848i | 0.157546i | 0.996893 | + | 0.0787728i | \(0.0251002\pi\) | ||||
−0.996893 | + | 0.0787728i | \(0.974900\pi\) | |||||||
\(212\) | 1.96960 | − | 7.35064i | 0.135273 | − | 0.504844i | ||||
\(213\) | −3.59153 | + | 3.59153i | −0.246087 | + | 0.246087i | ||||
\(214\) | 14.5460 | 0.994345 | ||||||||
\(215\) | 11.9665 | − | 8.47370i | 0.816106 | − | 0.577902i | ||||
\(216\) | −2.25213 | −0.153238 | ||||||||
\(217\) | 30.3069 | − | 30.3069i | 2.05737 | − | 2.05737i | ||||
\(218\) | 1.90550 | − | 7.11143i | 0.129057 | − | 0.481647i | ||||
\(219\) | − | 4.87352i | − | 0.329322i | ||||||
\(220\) | −0.0260890 | − | 0.0903909i | −0.00175892 | − | 0.00609415i | ||||
\(221\) | −0.488706 | − | 0.846464i | −0.0328739 | − | 0.0569393i | ||||
\(222\) | 0.630991 | + | 2.35489i | 0.0423493 | + | 0.158050i | ||||
\(223\) | −4.66864 | − | 4.66864i | −0.312635 | − | 0.312635i | 0.533295 | − | 0.845930i | \(-0.320954\pi\) |
−0.845930 | + | 0.533295i | \(0.820954\pi\) | |||||||
\(224\) | −3.68862 | − | 2.12963i | −0.246456 | − | 0.142292i | ||||
\(225\) | 14.2489 | − | 0.547097i | 0.949929 | − | 0.0364731i | ||||
\(226\) | 5.56764 | 0.370354 | ||||||||
\(227\) | 13.3702 | + | 3.58253i | 0.887410 | + | 0.237781i | 0.673602 | − | 0.739095i | \(-0.264746\pi\) |
0.213809 | + | 0.976876i | \(0.431413\pi\) | |||||||
\(228\) | 0.752942 | + | 2.81002i | 0.0498648 | + | 0.186098i | ||||
\(229\) | 9.54432 | + | 5.51042i | 0.630707 | + | 0.364139i | 0.781026 | − | 0.624499i | \(-0.214697\pi\) |
−0.150319 | + | 0.988638i | \(0.548030\pi\) | |||||||
\(230\) | −4.83062 | + | 5.01965i | −0.318522 | + | 0.330986i | ||||
\(231\) | 0.0689675 | 0.00453773 | ||||||||
\(232\) | 6.54885 | − | 1.75476i | 0.429953 | − | 0.115205i | ||||
\(233\) | 24.3141 | − | 6.51493i | 1.59287 | − | 0.426808i | 0.649989 | − | 0.759944i | \(-0.274774\pi\) |
0.942879 | + | 0.333136i | \(0.108107\pi\) | |||||||
\(234\) | 2.45317 | + | 4.24902i | 0.160369 | + | 0.277767i | ||||
\(235\) | −10.1550 | − | 5.60599i | −0.662438 | − | 0.365694i | ||||
\(236\) | 11.1091 | 0.723140 | ||||||||
\(237\) | −2.72891 | + | 2.72891i | −0.177262 | + | 0.177262i | ||||
\(238\) | −2.33738 | − | 0.626299i | −0.151510 | − | 0.0405969i | ||||
\(239\) | −11.9974 | + | 6.92668i | −0.776044 | + | 0.448049i | −0.835027 | − | 0.550210i | \(-0.814548\pi\) |
0.0589821 | + | 0.998259i | \(0.481215\pi\) | |||||||
\(240\) | 0.0165118 | + | 0.860403i | 0.00106583 | + | 0.0555387i | ||||
\(241\) | 1.85397 | + | 1.07039i | 0.119425 | + | 0.0689499i | 0.558522 | − | 0.829489i | \(-0.311368\pi\) |
−0.439098 | + | 0.898439i | \(0.644702\pi\) | |||||||
\(242\) | −7.77692 | + | 7.77692i | −0.499920 | + | 0.499920i | ||||
\(243\) | 9.38445 | − | 2.51455i | 0.602012 | − | 0.161309i | ||||
\(244\) | 0.570565 | − | 0.988247i | 0.0365267 | − | 0.0632660i | ||||
\(245\) | −17.2746 | + | 17.9506i | −1.10363 | + | 1.14682i | ||||
\(246\) | −0.511601 | − | 0.886119i | −0.0326185 | − | 0.0564969i | ||||
\(247\) | 9.19558 | − | 9.19558i | 0.585101 | − | 0.585101i | ||||
\(248\) | −2.60447 | + | 9.72002i | −0.165384 | + | 0.617222i | ||||
\(249\) | −0.604050 | + | 1.04624i | −0.0382801 | + | 0.0663031i | ||||
\(250\) | −0.643243 | − | 11.1618i | −0.0406822 | − | 0.705936i | ||||
\(251\) | 3.72715 | − | 6.45561i | 0.235256 | − | 0.407475i | −0.724091 | − | 0.689704i | \(-0.757741\pi\) |
0.959347 | + | 0.282229i | \(0.0910740\pi\) | |||||||
\(252\) | 11.7330 | + | 3.14385i | 0.739110 | + | 0.198044i | ||||
\(253\) | −0.126615 | − | 0.0339265i | −0.00796025 | − | 0.00213294i | ||||
\(254\) | −5.85578 | −0.367424 | ||||||||
\(255\) | 0.135579 | + | 0.469741i | 0.00849026 | + | 0.0294163i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −16.0873 | + | 16.0873i | −1.00350 | + | 1.00350i | −0.00350584 | + | 0.999994i | \(0.501116\pi\) |
−0.999994 | + | 0.00350584i | \(0.998884\pi\) | |||||||
\(258\) | −1.91050 | − | 1.64889i | −0.118943 | − | 0.102655i | ||||
\(259\) | − | 26.9813i | − | 1.67654i | ||||||
\(260\) | 3.29399 | − | 1.98702i | 0.204285 | − | 0.123230i | ||||
\(261\) | −16.7450 | + | 9.66770i | −1.03649 | + | 0.598416i | ||||
\(262\) | 8.47890 | + | 8.47890i | 0.523828 | + | 0.523828i | ||||
\(263\) | −4.09883 | + | 15.2971i | −0.252745 | + | 0.943257i | 0.716586 | + | 0.697499i | \(0.245704\pi\) |
−0.969331 | + | 0.245758i | \(0.920963\pi\) | |||||||
\(264\) | −0.0140230 | + | 0.00809621i | −0.000863058 | + | 0.000498287i | ||||
\(265\) | 17.0132 | − | 0.326496i | 1.04511 | − | 0.0200565i | ||||
\(266\) | − | 32.1960i | − | 1.97406i | ||||||
\(267\) | −5.15709 | + | 1.38184i | −0.315608 | + | 0.0845670i | ||||
\(268\) | 6.72166 | + | 1.80106i | 0.410591 | + | 0.110017i | ||||
\(269\) | 21.9248i | 1.33678i | 0.743811 | + | 0.668390i | \(0.233016\pi\) | ||||
−0.743811 | + | 0.668390i | \(0.766984\pi\) | |||||||
\(270\) | −1.39648 | − | 4.83841i | −0.0849871 | − | 0.294456i | ||||
\(271\) | 11.2950 | − | 19.5634i | 0.686120 | − | 1.18839i | −0.286964 | − | 0.957941i | \(-0.592646\pi\) |
0.973083 | − | 0.230453i | \(-0.0740208\pi\) | |||||||
\(272\) | 0.548777 | − | 0.147044i | 0.0332745 | − | 0.00891587i | ||||
\(273\) | 0.729880 | + | 2.72395i | 0.0441744 | + | 0.164861i | ||||
\(274\) | 6.48643i | 0.391859i | ||||||||
\(275\) | 0.178016 | − | 0.112098i | 0.0107348 | − | 0.00675975i | ||||
\(276\) | 1.03838 | + | 0.599508i | 0.0625030 | + | 0.0360861i | ||||
\(277\) | 13.7531 | + | 3.68513i | 0.826343 | + | 0.221418i | 0.647118 | − | 0.762390i | \(-0.275974\pi\) |
0.179225 | + | 0.983808i | \(0.442641\pi\) | |||||||
\(278\) | 4.99499 | − | 18.6416i | 0.299580 | − | 1.11805i | ||||
\(279\) | − | 28.6983i | − | 1.71812i | ||||||
\(280\) | 2.28802 | − | 9.24506i | 0.136735 | − | 0.552498i | ||||
\(281\) | −14.1397 | − | 24.4907i | −0.843503 | − | 1.46099i | −0.886915 | − | 0.461933i | \(-0.847156\pi\) |
0.0434112 | − | 0.999057i | \(-0.486177\pi\) | |||||||
\(282\) | −0.516715 | + | 1.92841i | −0.0307699 | + | 0.114835i | ||||
\(283\) | −0.967269 | − | 3.60990i | −0.0574982 | − | 0.214586i | 0.931199 | − | 0.364510i | \(-0.118764\pi\) |
−0.988697 | + | 0.149924i | \(0.952097\pi\) | |||||||
\(284\) | −6.59884 | + | 11.4295i | −0.391569 | + | 0.678218i | ||||
\(285\) | −5.57009 | + | 3.36002i | −0.329944 | + | 0.199030i | ||||
\(286\) | 0.0626861 | + | 0.0361918i | 0.00370670 | + | 0.00214007i | ||||
\(287\) | 2.93085 | + | 10.9381i | 0.173003 | + | 0.645655i | ||||
\(288\) | −2.75471 | + | 0.738123i | −0.162323 | + | 0.0434943i | ||||
\(289\) | −14.4429 | + | 8.33861i | −0.849582 | + | 0.490507i | ||||
\(290\) | 7.83063 | + | 12.9813i | 0.459831 | + | 0.762288i | ||||
\(291\) | −3.35377 | + | 1.93630i | −0.196601 | + | 0.113508i | ||||
\(292\) | −3.27750 | − | 12.2318i | −0.191801 | − | 0.715811i | ||||
\(293\) | 1.23033 | − | 1.23033i | 0.0718766 | − | 0.0718766i | −0.670255 | − | 0.742131i | \(-0.733815\pi\) |
0.742131 | + | 0.670255i | \(0.233815\pi\) | |||||||
\(294\) | 3.71330 | + | 2.14388i | 0.216564 | + | 0.125033i | ||||
\(295\) | 6.88844 | + | 23.8665i | 0.401061 | + | 1.38956i | ||||
\(296\) | 3.16738 | + | 5.48606i | 0.184100 | + | 0.318871i | ||||
\(297\) | 0.0670027 | − | 0.0670027i | 0.00388789 | − | 0.00388789i | ||||
\(298\) | −4.82496 | − | 1.29284i | −0.279502 | − | 0.0748924i | ||||
\(299\) | − | 5.35986i | − | 0.309969i | ||||||
\(300\) | −1.83823 | + | 0.568985i | −0.106130 | + | 0.0328504i | ||||
\(301\) | 15.7003 | + | 23.0992i | 0.904953 | + | 1.33141i | ||||
\(302\) | 3.23820 | + | 3.23820i | 0.186337 | + | 0.186337i | ||||
\(303\) | 1.10608 | + | 1.10608i | 0.0635425 | + | 0.0635425i | ||||
\(304\) | 3.77954 | + | 6.54635i | 0.216771 | + | 0.375459i | ||||
\(305\) | 2.47692 | + | 0.613001i | 0.141828 | + | 0.0351004i | ||||
\(306\) | −1.40319 | + | 0.810130i | −0.0802148 | + | 0.0463120i | ||||
\(307\) | 1.99656 | − | 7.45126i | 0.113950 | − | 0.425266i | −0.885257 | − | 0.465103i | \(-0.846017\pi\) |
0.999206 | + | 0.0398371i | \(0.0126839\pi\) | |||||||
\(308\) | 0.173098 | − | 0.0463815i | 0.00986317 | − | 0.00264283i | ||||
\(309\) | 7.20689 | 0.409986 | ||||||||
\(310\) | −22.4972 | + | 0.431738i | −1.27775 | + | 0.0245211i | ||||
\(311\) | 1.41494 | + | 2.45074i | 0.0802337 | + | 0.138969i | 0.903350 | − | 0.428904i | \(-0.141100\pi\) |
−0.823117 | + | 0.567872i | \(0.807767\pi\) | |||||||
\(312\) | −0.468174 | − | 0.468174i | −0.0265051 | − | 0.0265051i | ||||
\(313\) | 2.11703 | − | 7.90086i | 0.119662 | − | 0.446583i | −0.879932 | − | 0.475100i | \(-0.842412\pi\) |
0.999593 | + | 0.0285170i | \(0.00907848\pi\) | |||||||
\(314\) | 11.1637 | + | 6.44535i | 0.630003 | + | 0.363732i | ||||
\(315\) | 0.521150 | + | 27.1563i | 0.0293634 | + | 1.53008i | ||||
\(316\) | −5.01392 | + | 8.68436i | −0.282055 | + | 0.488533i | ||||
\(317\) | −12.8399 | − | 12.8399i | −0.721158 | − | 0.721158i | 0.247683 | − | 0.968841i | \(-0.420331\pi\) |
−0.968841 | + | 0.247683i | \(0.920331\pi\) | |||||||
\(318\) | −0.758009 | − | 2.82893i | −0.0425070 | − | 0.158638i | ||||
\(319\) | −0.142628 | + | 0.247040i | −0.00798565 | + | 0.0138316i | ||||
\(320\) | 0.620072 | + | 2.14837i | 0.0346631 | + | 0.120098i | ||||
\(321\) | 4.84810 | − | 2.79905i | 0.270594 | − | 0.156228i | ||||
\(322\) | −9.38310 | − | 9.38310i | −0.522900 | − | 0.522900i | ||||
\(323\) | 3.03673 | + | 3.03673i | 0.168968 | + | 0.168968i | ||||
\(324\) | 6.65880 | − | 3.84446i | 0.369933 | − | 0.213581i | ||||
\(325\) | 6.31137 | + | 5.84463i | 0.350092 | + | 0.324202i | ||||
\(326\) | 0.928329 | − | 1.60791i | 0.0514154 | − | 0.0890541i | ||||
\(327\) | −0.733341 | − | 2.73687i | −0.0405539 | − | 0.151349i | ||||
\(328\) | −1.87996 | − | 1.87996i | −0.103804 | − | 0.103804i | ||||
\(329\) | 11.0474 | − | 19.1347i | 0.609065 | − | 1.05493i | ||||
\(330\) | −0.0260890 | − | 0.0251065i | −0.00143615 | − | 0.00138207i | ||||
\(331\) | −2.55280 | − | 1.47386i | −0.140315 | − | 0.0810107i | 0.428199 | − | 0.903684i | \(-0.359148\pi\) |
−0.568514 | + | 0.822674i | \(0.692481\pi\) | |||||||
\(332\) | −0.812460 | + | 3.03214i | −0.0445896 | + | 0.166411i | ||||
\(333\) | −12.7746 | − | 12.7746i | −0.700044 | − | 0.700044i | ||||
\(334\) | −2.53689 | − | 4.39402i | −0.138812 | − | 0.240430i | ||||
\(335\) | 0.298559 | + | 15.5574i | 0.0163120 | + | 0.849993i | ||||
\(336\) | −1.63919 | −0.0894253 | ||||||||
\(337\) | −3.55118 | + | 0.951534i | −0.193445 | + | 0.0518334i | −0.354241 | − | 0.935154i | \(-0.615261\pi\) |
0.160796 | + | 0.986988i | \(0.448594\pi\) | |||||||
\(338\) | 2.59861 | − | 9.69816i | 0.141346 | − | 0.527511i | ||||
\(339\) | 1.85566 | − | 1.07137i | 0.100786 | − | 0.0581887i | ||||
\(340\) | 0.656188 | + | 1.08780i | 0.0355868 | + | 0.0589942i | ||||
\(341\) | −0.211694 | − | 0.366664i | −0.0114639 | − | 0.0198560i | ||||
\(342\) | −15.2435 | − | 15.2435i | −0.824277 | − | 0.824277i | ||||
\(343\) | −12.4723 | − | 12.4723i | −0.673442 | − | 0.673442i | ||||
\(344\) | −5.90397 | − | 2.85362i | −0.318321 | − | 0.153857i | ||||
\(345\) | −0.644097 | + | 2.60256i | −0.0346770 | + | 0.140117i | ||||
\(346\) | 11.5473i | 0.620787i | ||||||||
\(347\) | 12.1562 | + | 3.25724i | 0.652579 | + | 0.174858i | 0.569895 | − | 0.821718i | \(-0.306984\pi\) |
0.0826842 | + | 0.996576i | \(0.473651\pi\) | |||||||
\(348\) | 1.84503 | − | 1.84503i | 0.0989038 | − | 0.0989038i | ||||
\(349\) | −8.15090 | − | 14.1178i | −0.436307 | − | 0.755707i | 0.561094 | − | 0.827752i | \(-0.310381\pi\) |
−0.997401 | + | 0.0720455i | \(0.977047\pi\) | |||||||
\(350\) | 21.2806 | − | 0.817081i | 1.13749 | − | 0.0436748i | ||||
\(351\) | 3.35543 | + | 1.93726i | 0.179100 | + | 0.103403i | ||||
\(352\) | −0.0297509 | + | 0.0297509i | −0.00158573 | + | 0.00158573i | ||||
\(353\) | 6.83654 | + | 25.5143i | 0.363872 | + | 1.35799i | 0.868943 | + | 0.494912i | \(0.164800\pi\) |
−0.505071 | + | 0.863078i | \(0.668534\pi\) | |||||||
\(354\) | 3.70259 | − | 2.13769i | 0.196791 | − | 0.113617i | ||||
\(355\) | −28.6467 | − | 7.08964i | −1.52041 | − | 0.376279i | ||||
\(356\) | −12.0142 | + | 6.93640i | −0.636751 | + | 0.367628i | ||||
\(357\) | −0.899551 | + | 0.241034i | −0.0476093 | + | 0.0127569i | ||||
\(358\) | −0.121691 | − | 0.454158i | −0.00643158 | − | 0.0240030i | ||||
\(359\) | 3.04581 | + | 1.75850i | 0.160752 | + | 0.0928100i | 0.578218 | − | 0.815883i | \(-0.303748\pi\) |
−0.417466 | + | 0.908692i | \(0.637082\pi\) | |||||||
\(360\) | −3.29388 | − | 5.46046i | −0.173603 | − | 0.287792i | ||||
\(361\) | −19.0698 | + | 33.0299i | −1.00367 | + | 1.73842i | ||||
\(362\) | −4.51363 | − | 16.8451i | −0.237231 | − | 0.885359i | ||||
\(363\) | −1.09551 | + | 4.08849i | −0.0574993 | + | 0.214590i | ||||
\(364\) | 3.66378 | + | 6.34584i | 0.192034 | + | 0.332613i | ||||
\(365\) | 24.2462 | − | 14.6259i | 1.26910 | − | 0.765553i | ||||
\(366\) | − | 0.439169i | − | 0.0229557i | ||||||
\(367\) | −5.08901 | + | 18.9925i | −0.265644 | + | 0.991398i | 0.696210 | + | 0.717838i | \(0.254868\pi\) |
−0.961855 | + | 0.273561i | \(0.911799\pi\) | |||||||
\(368\) | 3.00934 | + | 0.806352i | 0.156873 | + | 0.0420340i | ||||
\(369\) | 6.56640 | + | 3.79112i | 0.341833 | + | 0.197358i | ||||
\(370\) | −9.82211 | + | 10.2065i | −0.510627 | + | 0.530609i | ||||
\(371\) | 32.4127i | 1.68278i | ||||||||
\(372\) | 1.00234 | + | 3.74079i | 0.0519690 | + | 0.193951i | ||||
\(373\) | 5.79180 | − | 1.55191i | 0.299888 | − | 0.0803548i | −0.105737 | − | 0.994394i | \(-0.533720\pi\) |
0.405626 | + | 0.914039i | \(0.367054\pi\) | |||||||
\(374\) | −0.0119519 | + | 0.0207013i | −0.000618018 | + | 0.00107044i | ||||
\(375\) | −2.36223 | − | 3.59639i | −0.121985 | − | 0.185717i | ||||
\(376\) | 5.18750i | 0.267525i | ||||||||
\(377\) | −11.2665 | − | 3.01886i | −0.580256 | − | 0.155479i | ||||
\(378\) | 9.26552 | − | 2.48269i | 0.476567 | − | 0.127696i | ||||
\(379\) | 30.3657i | 1.55978i | 0.625917 | + | 0.779889i | \(0.284725\pi\) | ||||
−0.625917 | + | 0.779889i | \(0.715275\pi\) | |||||||
\(380\) | −11.7204 | + | 12.1791i | −0.601245 | + | 0.624773i | ||||
\(381\) | −1.95170 | + | 1.12681i | −0.0999884 | + | 0.0577283i | ||||
\(382\) | 0.115247 | − | 0.430109i | 0.00589656 | − | 0.0220063i | ||||
\(383\) | −14.6859 | − | 14.6859i | −0.750415 | − | 0.750415i | 0.224141 | − | 0.974557i | \(-0.428042\pi\) |
−0.974557 | + | 0.224141i | \(0.928042\pi\) | |||||||
\(384\) | 0.333294 | − | 0.192427i | 0.0170083 | − | 0.00981976i | ||||
\(385\) | 0.206978 | + | 0.343119i | 0.0105486 | + | 0.0174870i | ||||
\(386\) | − | 4.57000i | − | 0.232607i | ||||||
\(387\) | 18.3701 | + | 3.50305i | 0.933802 | + | 0.178070i | ||||
\(388\) | −7.11526 | + | 7.11526i | −0.361222 | + | 0.361222i | ||||
\(389\) | −13.7334 | −0.696309 | −0.348154 | − | 0.937437i | \(-0.613192\pi\) | ||||
−0.348154 | + | 0.937437i | \(0.613192\pi\) | |||||||
\(390\) | 0.715511 | − | 1.29611i | 0.0362313 | − | 0.0656313i | ||||
\(391\) | 1.77003 | 0.0895142 | ||||||||
\(392\) | 10.7616 | + | 2.88356i | 0.543543 | + | 0.145642i | ||||
\(393\) | 4.45754 | + | 1.19439i | 0.224853 | + | 0.0602492i | ||||
\(394\) | −5.53685 | + | 9.59011i | −0.278943 | + | 0.483143i | ||||
\(395\) | −21.7662 | − | 5.38684i | −1.09518 | − | 0.271041i | ||||
\(396\) | 0.0599953 | − | 0.103915i | 0.00301488 | − | 0.00522192i | ||||
\(397\) | −2.36311 | + | 8.81924i | −0.118601 | + | 0.442625i | −0.999531 | − | 0.0306217i | \(-0.990251\pi\) |
0.880930 | + | 0.473246i | \(0.156918\pi\) | |||||||
\(398\) | −5.98999 | + | 5.98999i | −0.300251 | + | 0.300251i | ||||
\(399\) | −6.19539 | − | 10.7307i | −0.310157 | − | 0.537208i | ||||
\(400\) | −4.23102 | + | 2.66429i | −0.211551 | + | 0.133215i | ||||
\(401\) | −0.452590 | + | 0.783909i | −0.0226013 | + | 0.0391465i | −0.877105 | − | 0.480299i | \(-0.840528\pi\) |
0.854504 | + | 0.519446i | \(0.173861\pi\) | |||||||
\(402\) | 2.58686 | − | 0.693148i | 0.129021 | − | 0.0345711i | ||||
\(403\) | 12.2415 | − | 12.2415i | 0.609791 | − | 0.609791i | ||||
\(404\) | 3.51994 | + | 2.03224i | 0.175123 | + | 0.101108i | ||||
\(405\) | 12.3883 | + | 11.9217i | 0.615578 | + | 0.592396i | ||||
\(406\) | −25.0083 | + | 14.4386i | −1.24114 | + | 0.716574i | ||||
\(407\) | −0.257448 | − | 0.0689829i | −0.0127612 | − | 0.00341935i | ||||
\(408\) | 0.154609 | − | 0.154609i | 0.00765427 | − | 0.00765427i | ||||
\(409\) | 13.8117 | 0.682946 | 0.341473 | − | 0.939892i | \(-0.389074\pi\) | ||||
0.341473 | + | 0.939892i | \(0.389074\pi\) | |||||||
\(410\) | 2.87315 | − | 5.20458i | 0.141895 | − | 0.257036i | ||||
\(411\) | 1.24817 | + | 2.16189i | 0.0615675 | + | 0.106638i | ||||
\(412\) | 18.0882 | − | 4.84672i | 0.891141 | − | 0.238781i | ||||
\(413\) | −45.7042 | + | 12.2464i | −2.24895 | + | 0.602606i | ||||
\(414\) | −8.88506 | −0.436677 | ||||||||
\(415\) | −7.01796 | + | 0.134680i | −0.344498 | + | 0.00661118i | ||||
\(416\) | −1.48990 | − | 0.860192i | −0.0730482 | − | 0.0421744i | ||||
\(417\) | −1.92235 | − | 7.17429i | −0.0941377 | − | 0.351327i | ||||
\(418\) | −0.307204 | − | 0.0823152i | −0.0150259 | − | 0.00402617i | ||||
\(419\) | 20.0934 | 0.981625 | 0.490813 | − | 0.871265i | \(-0.336700\pi\) | ||||
0.490813 | + | 0.871265i | \(0.336700\pi\) | |||||||
\(420\) | −1.01642 | − | 3.52160i | −0.0495961 | − | 0.171836i | ||||
\(421\) | 7.44354 | + | 4.29753i | 0.362776 | + | 0.209449i | 0.670298 | − | 0.742092i | \(-0.266166\pi\) |
−0.307522 | + | 0.951541i | \(0.599500\pi\) | |||||||
\(422\) | 1.61820 | + | 1.61820i | 0.0787728 | + | 0.0787728i | ||||
\(423\) | −3.82901 | − | 14.2901i | −0.186173 | − | 0.694807i | ||||
\(424\) | −3.80497 | − | 6.59041i | −0.184786 | − | 0.320058i | ||||
\(425\) | −1.93012 | + | 2.08425i | −0.0936244 | + | 0.101101i | ||||
\(426\) | 5.07919i | 0.246087i | ||||||||
\(427\) | −1.25795 | + | 4.69474i | −0.0608766 | + | 0.227195i | ||||
\(428\) | 10.2856 | − | 10.2856i | 0.497173 | − | 0.497173i | ||||
\(429\) | 0.0278572 | 0.00134496 | ||||||||
\(430\) | 2.46976 | − | 14.4534i | 0.119102 | − | 0.697004i | ||||
\(431\) | −13.0821 | −0.630144 | −0.315072 | − | 0.949068i | \(-0.602029\pi\) | ||||
−0.315072 | + | 0.949068i | \(0.602029\pi\) | |||||||
\(432\) | −1.59249 | + | 1.59249i | −0.0766189 | + | 0.0766189i | ||||
\(433\) | 3.95433 | − | 14.7577i | 0.190033 | − | 0.709212i | −0.803464 | − | 0.595353i | \(-0.797012\pi\) |
0.993497 | − | 0.113859i | \(-0.0363211\pi\) | |||||||
\(434\) | − | 42.8604i | − | 2.05737i | ||||||
\(435\) | 5.10786 | + | 2.81976i | 0.244903 | + | 0.135197i | ||||
\(436\) | −3.68115 | − | 6.37593i | −0.176295 | − | 0.305352i | ||||
\(437\) | 6.09527 | + | 22.7479i | 0.291576 | + | 1.08818i | ||||
\(438\) | −3.44610 | − | 3.44610i | −0.164661 | − | 0.164661i | ||||
\(439\) | 15.4733 | + | 8.93354i | 0.738502 | + | 0.426374i | 0.821524 | − | 0.570173i | \(-0.193124\pi\) |
−0.0830223 | + | 0.996548i | \(0.526457\pi\) | |||||||
\(440\) | −0.0823637 | − | 0.0454683i | −0.00392654 | − | 0.00216762i | ||||
\(441\) | −31.7735 | −1.51302 | ||||||||
\(442\) | −0.944108 | − | 0.252973i | −0.0449066 | − | 0.0120327i | ||||
\(443\) | −0.943762 | − | 3.52217i | −0.0448395 | − | 0.167343i | 0.939875 | − | 0.341518i | \(-0.110941\pi\) |
−0.984715 | + | 0.174175i | \(0.944274\pi\) | |||||||
\(444\) | 2.11134 | + | 1.21898i | 0.100200 | + | 0.0578503i | ||||
\(445\) | −22.3516 | − | 21.5099i | −1.05957 | − | 1.01967i | ||||
\(446\) | −6.60245 | −0.312635 | ||||||||
\(447\) | −1.85691 | + | 0.497556i | −0.0878286 | + | 0.0235336i | ||||
\(448\) | −4.11412 | + | 1.10238i | −0.194374 | + | 0.0520823i | ||||
\(449\) | 12.2629 | + | 21.2400i | 0.578724 | + | 1.00238i | 0.995626 | + | 0.0934280i | \(0.0297825\pi\) |
−0.416902 | + | 0.908951i | \(0.636884\pi\) | |||||||
\(450\) | 9.68866 | − | 10.4624i | 0.456728 | − | 0.493201i | ||||
\(451\) | 0.111861 | 0.00526734 | ||||||||
\(452\) | 3.93692 | − | 3.93692i | 0.185177 | − | 0.185177i | ||||
\(453\) | 1.70239 | + | 0.456154i | 0.0799852 | + | 0.0214320i | ||||
\(454\) | 11.9874 | − | 6.92092i | 0.562596 | − | 0.324815i | ||||
\(455\) | −11.3614 | + | 11.8060i | −0.532633 | + | 0.553476i | ||||
\(456\) | 2.51939 | + | 1.45457i | 0.117981 | + | 0.0681166i | ||||
\(457\) | 1.63646 | − | 1.63646i | 0.0765506 | − | 0.0765506i | −0.667795 | − | 0.744345i | \(-0.732762\pi\) |
0.744345 | + | 0.667795i | \(0.232762\pi\) | |||||||
\(458\) | 10.6453 | − | 2.85240i | 0.497423 | − | 0.133284i | ||||
\(459\) | −0.639757 | + | 1.10809i | −0.0298613 | + | 0.0517213i | ||||
\(460\) | 0.133667 | + | 6.96519i | 0.00623227 | + | 0.324754i | ||||
\(461\) | 1.20661 | + | 2.08991i | 0.0561976 | + | 0.0973370i | 0.892756 | − | 0.450541i | \(-0.148769\pi\) |
−0.836558 | + | 0.547878i | \(0.815436\pi\) | |||||||
\(462\) | 0.0487674 | − | 0.0487674i | 0.00226887 | − | 0.00226887i | ||||
\(463\) | −1.62402 | + | 6.06094i | −0.0754748 | + | 0.281676i | −0.993341 | − | 0.115215i | \(-0.963244\pi\) |
0.917866 | + | 0.396891i | \(0.129911\pi\) | |||||||
\(464\) | 3.38993 | − | 5.87153i | 0.157374 | − | 0.272579i | ||||
\(465\) | −7.41510 | + | 4.47297i | −0.343867 | + | 0.207429i | ||||
\(466\) | 12.5859 | − | 21.7994i | 0.583030 | − | 1.00984i | ||||
\(467\) | −27.9577 | − | 7.49123i | −1.29373 | − | 0.346653i | −0.454652 | − | 0.890669i | \(-0.650236\pi\) |
−0.839074 | + | 0.544017i | \(0.816903\pi\) | |||||||
\(468\) | 4.73916 | + | 1.26985i | 0.219068 | + | 0.0586991i | ||||
\(469\) | −29.6392 | −1.36861 | ||||||||
\(470\) | −11.1447 | + | 3.21663i | −0.514066 | + | 0.148372i | ||||
\(471\) | 4.96105 | 0.228593 | ||||||||
\(472\) | 7.85532 | − | 7.85532i | 0.361570 | − | 0.361570i | ||||
\(473\) | 0.260546 | − | 0.0907505i | 0.0119799 | − | 0.00417271i | ||||
\(474\) | 3.85926i | 0.177262i | ||||||||
\(475\) | −33.4327 | − | 17.6279i | −1.53400 | − | 0.808826i | ||||
\(476\) | −2.09564 | + | 1.20992i | −0.0960534 | + | 0.0554564i | ||||
\(477\) | 15.3461 | + | 15.3461i | 0.702651 | + | 0.702651i | ||||
\(478\) | −3.58551 | + | 13.3813i | −0.163997 | + | 0.612047i | ||||
\(479\) | 22.7586 | − | 13.1397i | 1.03987 | − | 0.600367i | 0.120070 | − | 0.992765i | \(-0.461688\pi\) |
0.919795 | + | 0.392399i | \(0.128355\pi\) | |||||||
\(480\) | 0.620072 | + | 0.596721i | 0.0283023 | + | 0.0272365i | ||||
\(481\) | − | 10.8982i | − | 0.496916i | ||||||
\(482\) | 2.06784 | − | 0.554075i | 0.0941873 | − | 0.0252374i | ||||
\(483\) | −4.93290 | − | 1.32177i | −0.224455 | − | 0.0601424i | ||||
\(484\) | 10.9982i | 0.499920i | ||||||||
\(485\) | −19.6982 | − | 10.8743i | −0.894449 | − | 0.493775i | ||||
\(486\) | 4.85775 | − | 8.41386i | 0.220352 | − | 0.381661i | ||||
\(487\) | −12.9423 | + | 3.46789i | −0.586474 | + | 0.157145i | −0.539841 | − | 0.841767i | \(-0.681516\pi\) |
−0.0466327 | + | 0.998912i | \(0.514849\pi\) | |||||||
\(488\) | −0.295346 | − | 1.10225i | −0.0133697 | − | 0.0498963i | ||||
\(489\) | − | 0.714544i | − | 0.0323128i | ||||||
\(490\) | 0.478002 | + | 24.9079i | 0.0215939 | + | 1.12523i | ||||
\(491\) | −18.5997 | − | 10.7385i | −0.839391 | − | 0.484623i | 0.0176661 | − | 0.999844i | \(-0.494376\pi\) |
−0.857057 | + | 0.515221i | \(0.827710\pi\) | |||||||
\(492\) | −0.988337 | − | 0.264824i | −0.0445577 | − | 0.0119392i | ||||
\(493\) | 0.996941 | − | 3.72063i | 0.0449000 | − | 0.167569i | ||||
\(494\) | − | 13.0045i | − | 0.585101i | ||||||
\(495\) | 0.260449 | + | 0.0644576i | 0.0117063 | + | 0.00289715i | ||||
\(496\) | 5.03145 | + | 8.71473i | 0.225919 | + | 0.391303i | ||||
\(497\) | 14.5488 | − | 54.2969i | 0.652603 | − | 2.43555i | ||||
\(498\) | 0.312679 | + | 1.16693i | 0.0140115 | + | 0.0522916i | ||||
\(499\) | −15.5825 | + | 26.9897i | −0.697568 | + | 1.20822i | 0.271739 | + | 0.962371i | \(0.412401\pi\) |
−0.969307 | + | 0.245853i | \(0.920932\pi\) | |||||||
\(500\) | −8.34744 | − | 7.43776i | −0.373309 | − | 0.332627i | ||||
\(501\) | −1.69106 | − | 0.976334i | −0.0755510 | − | 0.0436194i | ||||
\(502\) | −1.92931 | − | 7.20030i | −0.0861095 | − | 0.321365i | ||||
\(503\) | −27.2377 | + | 7.29831i | −1.21447 | + | 0.325415i | −0.808513 | − | 0.588478i | \(-0.799727\pi\) |
−0.405954 | + | 0.913894i | \(0.633061\pi\) | |||||||
\(504\) | 10.5195 | − | 6.07345i | 0.468577 | − | 0.270533i | ||||
\(505\) | −2.18339 | + | 8.82227i | −0.0971595 | + | 0.392586i | ||||
\(506\) | −0.113520 | + | 0.0655410i | −0.00504659 | + | 0.00291365i | ||||
\(507\) | −1.00009 | − | 3.73238i | −0.0444155 | − | 0.165761i | ||||
\(508\) | −4.14066 | + | 4.14066i | −0.183712 | + | 0.183712i | ||||
\(509\) | 32.0128 | + | 18.4826i | 1.41894 | + | 0.819226i | 0.996206 | − | 0.0870272i | \(-0.0277367\pi\) |
0.422735 | + | 0.906253i | \(0.361070\pi\) | |||||||
\(510\) | 0.428026 | + | 0.236289i | 0.0189533 | + | 0.0104630i | ||||
\(511\) | 26.9680 | + | 46.7100i | 1.19300 | + | 2.06633i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −16.4439 | − | 4.40613i | −0.726016 | − | 0.194536i | ||||
\(514\) | 22.7509i | 1.00350i | ||||||||
\(515\) | 21.6285 | + | 35.8549i | 0.953067 | + | 1.57995i | ||||
\(516\) | −2.51687 | + | 0.184990i | −0.110799 | + | 0.00814373i | ||||
\(517\) | −0.154333 | − | 0.154333i | −0.00678755 | − | 0.00678755i | ||||
\(518\) | −19.0787 | − | 19.0787i | −0.838269 | − | 0.838269i | ||||
\(519\) | 2.22202 | + | 3.84865i | 0.0975357 | + | 0.168937i | ||||
\(520\) | 0.924171 | − | 3.73424i | 0.0405276 | − | 0.163757i | ||||
\(521\) | −32.8438 | + | 18.9624i | −1.43891 | + | 0.830758i | −0.997774 | − | 0.0666804i | \(-0.978759\pi\) |
−0.441140 | + | 0.897438i | \(0.645426\pi\) | |||||||
\(522\) | −5.00437 | + | 18.6766i | −0.219035 | + | 0.817451i | ||||
\(523\) | −2.05168 | + | 0.549745i | −0.0897136 | + | 0.0240387i | −0.303397 | − | 0.952864i | \(-0.598121\pi\) |
0.213683 | + | 0.976903i | \(0.431454\pi\) | |||||||
\(524\) | 11.9910 | 0.523828 | ||||||||
\(525\) | 6.93546 | − | 4.36729i | 0.302688 | − | 0.190604i | ||||
\(526\) | 7.91834 | + | 13.7150i | 0.345256 | + | 0.598001i | ||||
\(527\) | 4.04260 | + | 4.04260i | 0.176098 | + | 0.176098i | ||||
\(528\) | −0.00419090 | + | 0.0156407i | −0.000182386 | + | 0.000680673i | ||||
\(529\) | −11.5126 | − | 6.64682i | −0.500549 | − | 0.288992i | ||||
\(530\) | 11.7993 | − | 12.2610i | 0.512529 | − | 0.532585i | ||||
\(531\) | −15.8409 | + | 27.4373i | −0.687438 | + | 1.19068i | ||||
\(532\) | −22.7660 | − | 22.7660i | −0.987032 | − | 0.987032i | ||||
\(533\) | 1.18382 | + | 4.41808i | 0.0512770 | + | 0.191368i | ||||
\(534\) | −2.66950 | + | 4.62372i | −0.115521 | + | 0.200088i | ||||
\(535\) | 28.4751 | + | 15.7195i | 1.23109 | + | 0.679612i | ||||
\(536\) | 6.02648 | − | 3.47939i | 0.260304 | − | 0.150287i | ||||
\(537\) | −0.127951 | − | 0.127951i | −0.00552150 | − | 0.00552150i | ||||
\(538\) | 15.5032 | + | 15.5032i | 0.668390 | + | 0.668390i | ||||
\(539\) | −0.405955 | + | 0.234378i | −0.0174857 | + | 0.0100954i | ||||
\(540\) | −4.40873 | − | 2.43381i | −0.189722 | − | 0.104734i | ||||
\(541\) | 1.41662 | − | 2.45365i | 0.0609051 | − | 0.105491i | −0.833965 | − | 0.551817i | \(-0.813935\pi\) |
0.894870 | + | 0.446326i | \(0.147268\pi\) | |||||||
\(542\) | −5.84670 | − | 21.8202i | −0.251137 | − | 0.937257i | ||||
\(543\) | −4.74582 | − | 4.74582i | −0.203663 | − | 0.203663i | ||||
\(544\) | 0.284068 | − | 0.492020i | 0.0121793 | − | 0.0210952i | ||||
\(545\) | 11.4153 | − | 11.8620i | 0.488978 | − | 0.508113i | ||||
\(546\) | 2.44223 | + | 1.41002i | 0.104518 | + | 0.0603433i | ||||
\(547\) | 2.39309 | − | 8.93113i | 0.102321 | − | 0.381867i | −0.895706 | − | 0.444646i | \(-0.853330\pi\) |
0.998027 | + | 0.0627786i | \(0.0199962\pi\) | |||||||
\(548\) | 4.58660 | + | 4.58660i | 0.195930 | + | 0.195930i | ||||
\(549\) | 1.62719 | + | 2.81837i | 0.0694466 | + | 0.120285i | ||||
\(550\) | 0.0466115 | − | 0.205142i | 0.00198752 | − | 0.00874727i | ||||
\(551\) | 51.2495 | 2.18330 | ||||||||
\(552\) | 1.15816 | − | 0.310328i | 0.0492946 | − | 0.0132084i | ||||
\(553\) | 11.0544 | − | 41.2557i | 0.470082 | − | 1.75437i | ||||
\(554\) | 12.3307 | − | 7.11913i | 0.523881 | − | 0.302463i | ||||
\(555\) | −1.30964 | + | 5.29180i | −0.0555913 | + | 0.224624i | ||||
\(556\) | −9.64959 | − | 16.7136i | −0.409234 | − | 0.708813i | ||||
\(557\) | 18.1321 | + | 18.1321i | 0.768284 | + | 0.768284i | 0.977804 | − | 0.209521i | \(-0.0671903\pi\) |
−0.209521 | + | 0.977804i | \(0.567190\pi\) | |||||||
\(558\) | −20.2927 | − | 20.2927i | −0.859060 | − | 0.859060i | ||||
\(559\) | 6.34164 | + | 9.33015i | 0.268223 | + | 0.394623i | ||||
\(560\) | −4.91937 | − | 8.15512i | −0.207881 | − | 0.344617i | ||||
\(561\) | 0.00919949i | 0.000388403i | ||||||||
\(562\) | −27.3158 | − | 7.31924i | −1.15225 | − | 0.308744i | ||||
\(563\) | 18.1061 | − | 18.1061i | 0.763082 | − | 0.763082i | −0.213796 | − | 0.976878i | \(-0.568583\pi\) |
0.976878 | + | 0.213796i | \(0.0685829\pi\) | |||||||
\(564\) | 0.998217 | + | 1.72896i | 0.0420325 | + | 0.0728025i | ||||
\(565\) | 10.8991 | + | 6.01680i | 0.458531 | + | 0.253129i | ||||
\(566\) | −3.23655 | − | 1.86862i | −0.136042 | − | 0.0785440i | ||||
\(567\) | −23.1571 | + | 23.1571i | −0.972506 | + | 0.972506i | ||||
\(568\) | 3.41581 | + | 12.7480i | 0.143324 | + | 0.534893i | ||||
\(569\) | 12.8917 | − | 7.44300i | 0.540446 | − | 0.312027i | −0.204813 | − | 0.978801i | \(-0.565659\pi\) |
0.745260 | + | 0.666774i | \(0.232325\pi\) | |||||||
\(570\) | −1.56276 | + | 6.31454i | −0.0654568 | + | 0.264487i | ||||
\(571\) | 24.9852 | − | 14.4252i | 1.04560 | − | 0.603676i | 0.124184 | − | 0.992259i | \(-0.460369\pi\) |
0.921414 | + | 0.388583i | \(0.127035\pi\) | |||||||
\(572\) | 0.0699172 | − | 0.0187343i | 0.00292339 | − | 0.000783319i | ||||
\(573\) | −0.0443534 | − | 0.165529i | −0.00185289 | − | 0.00691508i | ||||
\(574\) | 9.80683 | + | 5.66198i | 0.409329 | + | 0.236326i | ||||
\(575\) | −14.8810 | + | 4.60609i | −0.620579 | + | 0.192087i | ||||
\(576\) | −1.42594 | + | 2.46981i | −0.0594143 | + | 0.102909i | ||||
\(577\) | −11.8523 | − | 44.2332i | −0.493416 | − | 1.84145i | −0.538727 | − | 0.842480i | \(-0.681095\pi\) |
0.0453113 | − | 0.998973i | \(-0.485572\pi\) | |||||||
\(578\) | −4.31638 | + | 16.1090i | −0.179538 | + | 0.670044i | ||||
\(579\) | −0.879392 | − | 1.52315i | −0.0365463 | − | 0.0633000i | ||||
\(580\) | 14.7163 | + | 3.64206i | 0.611059 | + | 0.151228i | ||||
\(581\) | − | 13.3702i | − | 0.554691i | ||||||
\(582\) | −1.00230 | + | 3.74064i | −0.0415467 | + | 0.155055i | ||||
\(583\) | 0.309272 | + | 0.0828691i | 0.0128087 | + | 0.00343209i | ||||
\(584\) | −10.9667 | − | 6.33164i | −0.453806 | − | 0.262005i | ||||
\(585\) | 0.210501 | + | 10.9689i | 0.00870315 | + | 0.453508i | ||||
\(586\) | − | 1.73995i | − | 0.0718766i | ||||||
\(587\) | −4.11306 | − | 15.3501i | −0.169764 | − | 0.633568i | −0.997384 | − | 0.0722798i | \(-0.976973\pi\) |
0.827620 | − | 0.561288i | \(-0.189694\pi\) | |||||||
\(588\) | 4.14165 | − | 1.10975i | 0.170799 | − | 0.0457654i | ||||
\(589\) | −38.0331 | + | 65.8753i | −1.56713 | + | 2.71434i | ||||
\(590\) | 21.7470 | + | 12.0053i | 0.895311 | + | 0.494250i | ||||
\(591\) | 4.26177i | 0.175306i | ||||||||
\(592\) | 6.11891 | + | 1.63956i | 0.251486 | + | 0.0673853i | ||||
\(593\) | 38.9930 | − | 10.4481i | 1.60125 | − | 0.429054i | 0.655830 | − | 0.754908i | \(-0.272319\pi\) |
0.945420 | + | 0.325855i | \(0.105652\pi\) | |||||||
\(594\) | − | 0.0947562i | − | 0.00388789i | ||||||
\(595\) | −3.89880 | − | 3.75198i | −0.159835 | − | 0.153816i | ||||
\(596\) | −4.32594 | + | 2.49758i | −0.177197 | + | 0.102305i | ||||
\(597\) | −0.843789 | + | 3.14907i | −0.0345340 | + | 0.128883i | ||||
\(598\) | −3.79000 | − | 3.79000i | −0.154984 | − | 0.154984i | ||||
\(599\) | −7.38493 | + | 4.26369i | −0.301740 | + | 0.174210i | −0.643224 | − | 0.765678i | \(-0.722404\pi\) |
0.341484 | + | 0.939887i | \(0.389070\pi\) | |||||||
\(600\) | −0.897490 | + | 1.70216i | −0.0366399 | + | 0.0694903i | ||||
\(601\) | − | 47.0697i | − | 1.92001i | −0.279981 | − | 0.960006i | \(-0.590328\pi\) | ||
0.279981 | − | 0.960006i | \(-0.409672\pi\) | |||||||
\(602\) | 27.4354 | + | 5.23176i | 1.11818 | + | 0.213230i | ||||
\(603\) | −14.0330 | + | 14.0330i | −0.571468 | + | 0.571468i | ||||
\(604\) | 4.57950 | 0.186337 | ||||||||
\(605\) | −23.6283 | + | 6.81970i | −0.960627 | + | 0.277260i | ||||
\(606\) | 1.56423 | 0.0635425 | ||||||||
\(607\) | 42.2140 | + | 11.3112i | 1.71341 | + | 0.459108i | 0.976257 | − | 0.216614i | \(-0.0695013\pi\) |
0.737157 | + | 0.675722i | \(0.236168\pi\) | |||||||
\(608\) | 7.30151 | + | 1.95643i | 0.296115 | + | 0.0793438i | ||||
\(609\) | −5.55675 | + | 9.62457i | −0.225171 | + | 0.390007i | ||||
\(610\) | 2.18490 | − | 1.31799i | 0.0884641 | − | 0.0533637i | ||||
\(611\) | 4.46225 | − | 7.72884i | 0.180523 | − | 0.312675i | ||||
\(612\) | −0.419354 | + | 1.56505i | −0.0169514 | + | 0.0632634i | ||||
\(613\) | −21.9575 | + | 21.9575i | −0.886855 | + | 0.886855i | −0.994220 | − | 0.107365i | \(-0.965759\pi\) |
0.107365 | + | 0.994220i | \(0.465759\pi\) | |||||||
\(614\) | −3.85706 | − | 6.68062i | −0.155658 | − | 0.269608i | ||||
\(615\) | −0.0438994 | − | 2.28753i | −0.00177019 | − | 0.0922420i | ||||
\(616\) | 0.0896021 | − | 0.155195i | 0.00361017 | − | 0.00625300i | ||||
\(617\) | 26.6007 | − | 7.12763i | 1.07090 | − | 0.286948i | 0.320039 | − | 0.947404i | \(-0.396304\pi\) |
0.750864 | + | 0.660456i | \(0.229637\pi\) | |||||||
\(618\) | 5.09604 | − | 5.09604i | 0.204993 | − | 0.204993i | ||||
\(619\) | 19.9121 | + | 11.4962i | 0.800334 | + | 0.462073i | 0.843588 | − | 0.536991i | \(-0.180439\pi\) |
−0.0432538 | + | 0.999064i | \(0.513772\pi\) | |||||||
\(620\) | −15.6026 | + | 16.2132i | −0.626617 | + | 0.651138i | ||||
\(621\) | −6.07647 | + | 3.50825i | −0.243840 | + | 0.140781i | ||||
\(622\) | 2.73345 | + | 0.732425i | 0.109601 | + | 0.0293676i | ||||
\(623\) | 41.7813 | − | 41.7813i | 1.67393 | − | 1.67393i | ||||
\(624\) | −0.662098 | −0.0265051 | ||||||||
\(625\) | 10.8031 | − | 22.5454i | 0.432123 | − | 0.901815i | ||||
\(626\) | −4.08979 | − | 7.08372i | −0.163461 | − | 0.283122i | ||||
\(627\) | −0.118229 | + | 0.0316794i | −0.00472161 | + | 0.00126515i | ||||
\(628\) | 12.4515 | − | 3.33636i | 0.496867 | − | 0.133135i | ||||
\(629\) | 3.59900 | 0.143502 | ||||||||
\(630\) | 19.5709 | + | 18.8339i | 0.779724 | + | 0.750360i | ||||
\(631\) | 38.5122 | + | 22.2350i | 1.53315 | + | 0.885163i | 0.999214 | + | 0.0396364i | \(0.0126200\pi\) |
0.533933 | + | 0.845527i | \(0.320713\pi\) | |||||||
\(632\) | 2.59539 | + | 9.68614i | 0.103239 | + | 0.385294i | ||||
\(633\) | 0.850722 | + | 0.227950i | 0.0338132 | + | 0.00906021i | ||||
\(634\) | −18.1583 | −0.721158 | ||||||||
\(635\) | −11.4632 | − | 6.32818i | −0.454903 | − | 0.251126i | ||||
\(636\) | −2.53635 | − | 1.46436i | −0.100573 | − | 0.0580657i | ||||
\(637\) | −13.5532 | − | 13.5532i | −0.536999 | − | 0.536999i | ||||
\(638\) | 0.0738299 | + | 0.275537i | 0.00292295 | + | 0.0109086i | ||||
\(639\) | −18.8191 | − | 32.5957i | −0.744474 | − | 1.28947i | ||||
\(640\) | 1.95759 | + | 1.08067i | 0.0773804 | + | 0.0427173i | ||||
\(641\) | − | 43.0878i | − | 1.70187i | −0.525273 | − | 0.850934i | \(-0.676037\pi\) | ||
0.525273 | − | 0.850934i | \(-0.323963\pi\) | |||||||
\(642\) | 1.44890 | − | 5.40735i | 0.0571833 | − | 0.213411i | ||||
\(643\) | 30.3838 | − | 30.3838i | 1.19822 | − | 1.19822i | 0.223521 | − | 0.974699i | \(-0.428245\pi\) |
0.974699 | − | 0.223521i | \(-0.0717553\pi\) | |||||||
\(644\) | −13.2697 | −0.522900 | ||||||||
\(645\) | −1.95807 | − | 5.29247i | −0.0770989 | − | 0.208391i | ||||
\(646\) | 4.29458 | 0.168968 | ||||||||
\(647\) | 20.1476 | − | 20.1476i | 0.792084 | − | 0.792084i | −0.189749 | − | 0.981833i | \(-0.560767\pi\) |
0.981833 | + | 0.189749i | \(0.0607673\pi\) | |||||||
\(648\) | 1.99004 | − | 7.42693i | 0.0781761 | − | 0.291757i | ||||
\(649\) | 0.467405i | 0.0183473i | ||||||||
\(650\) | 8.59559 | − | 0.330033i | 0.337147 | − | 0.0129450i | ||||
\(651\) | −8.24752 | − | 14.2851i | −0.323246 | − | 0.559878i | ||||
\(652\) | −0.480539 | − | 1.79339i | −0.0188193 | − | 0.0702348i | ||||
\(653\) | −18.6680 | − | 18.6680i | −0.730536 | − | 0.730536i | 0.240190 | − | 0.970726i | \(-0.422790\pi\) |
−0.970726 | + | 0.240190i | \(0.922790\pi\) | |||||||
\(654\) | −2.45381 | − | 1.41671i | −0.0959515 | − | 0.0553976i | ||||
\(655\) | 7.43527 | + | 25.7611i | 0.290520 | + | 1.00657i | ||||
\(656\) | −2.65867 | −0.103804 | ||||||||
\(657\) | 34.8837 | + | 9.34705i | 1.36094 | + | 0.364663i | ||||
\(658\) | −5.71857 | − | 21.3420i | −0.222933 | − | 0.831998i | ||||
\(659\) | 16.6120 | + | 9.59093i | 0.647111 | + | 0.373609i | 0.787348 | − | 0.616508i | \(-0.211453\pi\) |
−0.140238 | + | 0.990118i | \(0.544787\pi\) | |||||||
\(660\) | −0.0362007 | 0.000694718i | −0.00140911 | 2.70418e-5i | ||||||
\(661\) | 29.5021 | 1.14750 | 0.573749 | − | 0.819031i | \(-0.305488\pi\) | ||||
0.573749 | + | 0.819031i | \(0.305488\pi\) | |||||||
\(662\) | −2.84728 | + | 0.762927i | −0.110663 | + | 0.0296520i | ||||
\(663\) | −0.363344 | + | 0.0973578i | −0.0141111 | + | 0.00378106i | ||||
\(664\) | 1.56955 | + | 2.71855i | 0.0609105 | + | 0.105500i | ||||
\(665\) | 34.7933 | − | 63.0265i | 1.34923 | − | 2.44406i | ||||
\(666\) | −18.0660 | −0.700044 | ||||||||
\(667\) | 14.9360 | − | 14.9360i | 0.578324 | − | 0.578324i | ||||
\(668\) | −4.90090 | − | 1.31319i | −0.189621 | − | 0.0508089i | ||||
\(669\) | −2.20055 | + | 1.27049i | −0.0850784 | + | 0.0491200i | ||||
\(670\) | 11.2119 | + | 10.7897i | 0.433153 | + | 0.416841i | ||||
\(671\) | 0.0415796 | + | 0.0240060i | 0.00160516 | + | 0.000926741i | ||||
\(672\) | −1.15908 | + | 1.15908i | −0.0447126 | + | 0.0447126i | ||||
\(673\) | −45.1569 | + | 12.0998i | −1.74067 | + | 0.466411i | −0.982596 | − | 0.185756i | \(-0.940527\pi\) |
−0.758075 | + | 0.652167i | \(0.773860\pi\) | |||||||
\(674\) | −1.83822 | + | 3.18390i | −0.0708057 | + | 0.122639i | ||||
\(675\) | 2.49500 | − | 10.9807i | 0.0960326 | − | 0.422649i | ||||
\(676\) | −5.02014 | − | 8.69513i | −0.193082 | − | 0.334428i | ||||
\(677\) | 2.21836 | − | 2.21836i | 0.0852586 | − | 0.0852586i | −0.663191 | − | 0.748450i | \(-0.730798\pi\) |
0.748450 | + | 0.663191i | \(0.230798\pi\) | |||||||
\(678\) | 0.554580 | − | 2.06972i | 0.0212985 | − | 0.0794872i | ||||
\(679\) | 21.4293 | − | 37.1167i | 0.822383 | − | 1.42441i | ||||
\(680\) | 1.23319 | + | 0.305196i | 0.0472905 | + | 0.0117037i | ||||
\(681\) | 2.66355 | − | 4.61340i | 0.102067 | − | 0.176786i | ||||
\(682\) | −0.408961 | − | 0.109581i | −0.0156599 | − | 0.00419606i | ||||
\(683\) | 8.83110 | + | 2.36629i | 0.337913 | + | 0.0905435i | 0.423785 | − | 0.905763i | \(-0.360701\pi\) |
−0.0858725 | + | 0.996306i | \(0.527368\pi\) | |||||||
\(684\) | −21.5576 | −0.824277 | ||||||||
\(685\) | −7.00970 | + | 12.6977i | −0.267827 | + | 0.485156i | ||||
\(686\) | −17.6385 | −0.673442 | ||||||||
\(687\) | 2.99914 | − | 2.99914i | 0.114424 | − | 0.114424i | ||||
\(688\) | −6.19255 | + | 2.15692i | −0.236089 | + | 0.0822318i | ||||
\(689\) | 13.0920i | 0.498767i | ||||||||
\(690\) | 1.38484 | + | 2.29574i | 0.0527201 | + | 0.0873971i | ||||
\(691\) | 32.3897 | − | 18.7002i | 1.23216 | − | 0.711389i | 0.264682 | − | 0.964336i | \(-0.414733\pi\) |
0.967480 | + | 0.252946i | \(0.0813996\pi\) | |||||||
\(692\) | 8.16518 | + | 8.16518i | 0.310393 | + | 0.310393i | ||||
\(693\) | −0.132275 | + | 0.493656i | −0.00502470 | + | 0.0187524i | ||||
\(694\) | 10.8989 | − | 6.29251i | 0.413718 | − | 0.238860i | ||||
\(695\) | 29.9236 | − | 31.0945i | 1.13507 | − | 1.17948i | ||||
\(696\) | − | 2.60926i | − | 0.0989038i | ||||||
\(697\) | −1.45902 | + | 0.390943i | −0.0552642 | + | 0.0148080i | ||||
\(698\) | −15.7463 | − | 4.21921i | −0.596007 | − | 0.159700i | ||||
\(699\) | − | 9.68747i | − | 0.366414i | ||||||
\(700\) | 14.4699 | − | 15.6254i | 0.546910 | − | 0.590585i | ||||
\(701\) | −19.5573 | + | 33.8743i | −0.738669 | + | 1.27941i | 0.214425 | + | 0.976740i | \(0.431212\pi\) |
−0.953095 | + | 0.302672i | \(0.902121\pi\) | |||||||
\(702\) | 3.74250 | − | 1.00280i | 0.141252 | − | 0.0378482i | ||||
\(703\) | 12.3935 | + | 46.2533i | 0.467431 | + | 1.74448i | ||||
\(704\) | 0.0420741i | 0.00158573i | ||||||||
\(705\) | −3.09549 | + | 3.21663i | −0.116583 | + | 0.121145i | ||||
\(706\) | 22.8755 | + | 13.2072i | 0.860931 | + | 0.497059i | ||||
\(707\) | −16.7217 | − | 4.48057i | −0.628885 | − | 0.168509i | ||||
\(708\) | 1.10655 | − | 4.12971i | 0.0415867 | − | 0.155204i | ||||
\(709\) | − | 3.84401i | − | 0.144365i | −0.997391 | − | 0.0721825i | \(-0.977004\pi\) | ||
0.997391 | − | 0.0721825i | \(-0.0229964\pi\) | |||||||
\(710\) | −25.2694 | + | 15.2431i | −0.948343 | + | 0.572064i | ||||
\(711\) | −14.2991 | − | 24.7668i | −0.536259 | − | 0.928828i | ||||
\(712\) | −3.59054 | + | 13.4001i | −0.134561 | + | 0.502190i | ||||
\(713\) | 8.11424 | + | 30.2827i | 0.303881 | + | 1.13410i | ||||
\(714\) | −0.465642 | + | 0.806516i | −0.0174262 | + | 0.0301831i | ||||
\(715\) | 0.0836019 | + | 0.138592i | 0.00312654 | + | 0.00518304i | ||||
\(716\) | −0.407187 | − | 0.235089i | −0.0152173 | − | 0.00878570i | ||||
\(717\) | 1.37990 | + | 5.14986i | 0.0515333 | + | 0.192325i | ||||
\(718\) | 3.39716 | − | 0.910265i | 0.126781 | − | 0.0339708i | ||||
\(719\) | 43.5847 | − | 25.1637i | 1.62544 | − | 0.938446i | 0.640005 | − | 0.768370i | \(-0.278932\pi\) |
0.985431 | − | 0.170076i | \(-0.0544012\pi\) | |||||||
\(720\) | −6.19026 | − | 1.53200i | −0.230697 | − | 0.0570943i | ||||
\(721\) | −69.0741 | + | 39.8799i | −2.57245 | + | 1.48521i | ||||
\(722\) | 9.87126 | + | 36.8401i | 0.367370 | + | 1.37105i | ||||
\(723\) | 0.582578 | − | 0.582578i | 0.0216663 | − | 0.0216663i | ||||
\(724\) | −15.1029 | − | 8.71967i | −0.561295 | − | 0.324064i | ||||
\(725\) | 1.30063 | + | 33.8744i | 0.0483041 | + | 1.25806i | ||||
\(726\) | 2.11636 | + | 3.66564i | 0.0785455 | + | 0.136045i | ||||
\(727\) | −6.03201 | + | 6.03201i | −0.223715 | + | 0.223715i | −0.810061 | − | 0.586346i | \(-0.800566\pi\) |
0.586346 | + | 0.810061i | \(0.300566\pi\) | |||||||
\(728\) | 7.07787 | + | 1.89651i | 0.262323 | + | 0.0702893i | ||||
\(729\) | 19.3277i | 0.715841i | ||||||||
\(730\) | 6.80256 | − | 27.4867i | 0.251774 | − | 1.01733i | ||||
\(731\) | −3.08117 | + | 2.09425i | −0.113961 | + | 0.0774586i | ||||
\(732\) | −0.310539 | − | 0.310539i | −0.0114779 | − | 0.0114779i | ||||
\(733\) | −5.40913 | − | 5.40913i | −0.199791 | − | 0.199791i | 0.600119 | − | 0.799910i | \(-0.295120\pi\) |
−0.799910 | + | 0.600119i | \(0.795120\pi\) | |||||||
\(734\) | 9.83122 | + | 17.0282i | 0.362877 | + | 0.628521i | ||||
\(735\) | 4.95228 | + | 8.20968i | 0.182668 | + | 0.302819i | ||||
\(736\) | 2.69810 | − | 1.55775i | 0.0994535 | − | 0.0574195i | ||||
\(737\) | −0.0757781 | + | 0.282808i | −0.00279132 | + | 0.0104174i | ||||
\(738\) | 7.32387 | − | 1.96243i | 0.269595 | − | 0.0722379i | ||||
\(739\) | −22.8015 | −0.838767 | −0.419384 | − | 0.907809i | \(-0.637754\pi\) | ||||
−0.419384 | + | 0.907809i | \(0.637754\pi\) | |||||||
\(740\) | 0.271786 | + | 14.1623i | 0.00999105 | + | 0.520618i | ||||
\(741\) | −2.50242 | − | 4.33433i | −0.0919289 | − | 0.159225i | ||||
\(742\) | 22.9192 | + | 22.9192i | 0.841391 | + | 0.841391i | ||||
\(743\) | −8.56583 | + | 31.9681i | −0.314250 | + | 1.17280i | 0.610436 | + | 0.792065i | \(0.290994\pi\) |
−0.924686 | + | 0.380731i | \(0.875673\pi\) | |||||||
\(744\) | 3.35390 | + | 1.93638i | 0.122960 | + | 0.0709910i | ||||
\(745\) | −8.04813 | − | 7.74505i | −0.294861 | − | 0.283757i | ||||
\(746\) | 2.99806 | − | 5.19279i | 0.109767 | − | 0.190122i | ||||
\(747\) | −6.33029 | − | 6.33029i | −0.231613 | − | 0.231613i | ||||
\(748\) | 0.00618676 | + | 0.0230893i | 0.000226210 | + | 0.000844229i | ||||
\(749\) | −30.9776 | + | 53.6547i | −1.13190 | + | 1.96050i | ||||
\(750\) | −4.21338 | − | 0.872684i | −0.153851 | − | 0.0318659i | ||||
\(751\) | 9.83885 | − | 5.68046i | 0.359025 | − | 0.207283i | −0.309628 | − | 0.950858i | \(-0.600205\pi\) |
0.668653 | + | 0.743575i | \(0.266871\pi\) | |||||||
\(752\) | 3.66812 | + | 3.66812i | 0.133762 | + | 0.133762i | ||||
\(753\) | −2.02856 | − | 2.02856i | −0.0739249 | − | 0.0739249i | ||||
\(754\) | −10.1013 | + | 5.83199i | −0.367868 | + | 0.212388i | ||||
\(755\) | 2.83962 | + | 9.83848i | 0.103344 | + | 0.358059i | ||||
\(756\) | 4.79618 | − | 8.30724i | 0.174436 | − | 0.302131i | ||||
\(757\) | −9.01058 | − | 33.6279i | −0.327495 | − | 1.22223i | −0.911780 | − | 0.410680i | \(-0.865292\pi\) |
0.584285 | − | 0.811549i | \(-0.301375\pi\) | |||||||
\(758\) | 21.4718 | + | 21.4718i | 0.779889 | + | 0.779889i | ||||
\(759\) | −0.0252238 | + | 0.0436888i | −0.000915564 | + | 0.00158580i | ||||
\(760\) | 0.324314 | + | 16.8995i | 0.0117641 | + | 0.613009i | ||||
\(761\) | −20.9714 | − | 12.1078i | −0.760212 | − | 0.438909i | 0.0691598 | − | 0.997606i | \(-0.477968\pi\) |
−0.829372 | + | 0.558697i | \(0.811302\pi\) | |||||||
\(762\) | −0.583281 | + | 2.17683i | −0.0211300 | + | 0.0788584i | ||||
\(763\) | 22.1734 | + | 22.1734i | 0.802729 | + | 0.802729i | ||||
\(764\) | −0.222641 | − | 0.385625i | −0.00805485 | − | 0.0139514i | ||||
\(765\) | −3.62234 | + | 0.0695154i | −0.130966 | + | 0.00251334i | ||||
\(766\) | −20.7690 | −0.750415 | ||||||||
\(767\) | −18.4607 | + | 4.94653i | −0.666577 | + | 0.178609i | ||||
\(768\) | 0.0996077 | − | 0.371741i | 0.00359428 | − | 0.0134140i | ||||
\(769\) | 15.4907 | − | 8.94358i | 0.558610 | − | 0.322514i | −0.193977 | − | 0.981006i | \(-0.562139\pi\) |
0.752588 | + | 0.658492i | \(0.228805\pi\) | |||||||
\(770\) | 0.388977 | + | 0.0962664i | 0.0140178 | + | 0.00346920i | ||||
\(771\) | 4.37790 | + | 7.58274i | 0.157666 | + | 0.273086i | ||||
\(772\) | −3.23148 | − | 3.23148i | −0.116303 | − | 0.116303i | ||||
\(773\) | −12.9294 | − | 12.9294i | −0.465038 | − | 0.465038i | 0.435265 | − | 0.900302i | \(-0.356655\pi\) |
−0.900302 | + | 0.435265i | \(0.856655\pi\) | |||||||
\(774\) | 15.4666 | − | 10.5126i | 0.555936 | − | 0.377866i | ||||
\(775\) | −44.5068 | − | 23.4669i | −1.59873 | − | 0.842957i | ||||
\(776\) | 10.0625i | 0.361222i | ||||||||
\(777\) | −10.0301 | − | 2.68755i | −0.359827 | − | 0.0964153i | ||||
\(778\) | −9.71095 | + | 9.71095i | −0.348154 | + | 0.348154i | ||||
\(779\) | −10.0486 | − | 17.4046i | −0.360027 | − | 0.623585i | ||||
\(780\) | −0.410549 | − | 1.42243i | −0.0147000 | − | 0.0509313i | ||||
\(781\) | −0.480887 | − | 0.277640i | −0.0172075 | − | 0.00993475i | ||||
\(782\) | 1.25160 | − | 1.25160i | 0.0447571 | − | 0.0447571i | ||||
\(783\) | 3.95193 | + | 14.7488i | 0.141231 | + | 0.527080i | ||||
\(784\) | 9.64858 | − | 5.57061i | 0.344592 | − | 0.198950i | ||||
\(785\) | 14.8886 | + | 24.6816i | 0.531395 | + | 0.880925i | ||||
\(786\) | 3.99652 | − | 2.30739i | 0.142551 | − | 0.0823019i | ||||
\(787\) | 23.5119 | − | 6.29999i | 0.838108 | − | 0.224570i | 0.185860 | − | 0.982576i | \(-0.440493\pi\) |
0.652248 | + | 0.758006i | \(0.273826\pi\) | |||||||
\(788\) | 2.86609 | + | 10.6964i | 0.102100 | + | 0.381043i | ||||
\(789\) | 5.27827 | + | 3.04741i | 0.187911 | + | 0.108491i | ||||
\(790\) | −19.2001 | + | 11.5820i | −0.683110 | + | 0.412069i | ||||
\(791\) | −11.8570 | + | 20.5369i | −0.421586 | + | 0.730209i | ||||
\(792\) | −0.0310558 | − | 0.115902i | −0.00110352 | − | 0.00411840i | ||||
\(793\) | −0.508109 | + | 1.89629i | −0.0180435 | + | 0.0673391i | ||||
\(794\) | 4.56517 | + | 7.90711i | 0.162012 | + | 0.280613i | ||||
\(795\) | 1.57328 | − | 6.35703i | 0.0557983 | − | 0.225461i | ||||
\(796\) | 8.47113i | 0.300251i | ||||||||
\(797\) | −1.43297 | + | 5.34790i | −0.0507583 | + | 0.189433i | −0.986650 | − | 0.162855i | \(-0.947930\pi\) |
0.935892 | + | 0.352288i | \(0.114596\pi\) | |||||||
\(798\) | −11.9686 | − | 3.20697i | −0.423683 | − | 0.113526i | ||||
\(799\) | 2.55236 | + | 1.47360i | 0.0902958 | + | 0.0521323i | ||||
\(800\) | −1.10784 | + | 4.87572i | −0.0391681 | + | 0.172383i | ||||
\(801\) | − | 39.5636i | − | 1.39791i | ||||||
\(802\) | 0.234278 | + | 0.874336i | 0.00827263 | + | 0.0308739i | ||||
\(803\) | 0.514641 | − | 0.137898i | 0.0181613 | − | 0.00486630i | ||||
\(804\) | 1.33906 | − | 2.31932i | 0.0472250 | − | 0.0817960i | ||||
\(805\) | −8.22818 | − | 28.5083i | −0.290005 | − | 1.00479i | ||||
\(806\) | − | 17.3121i | − | 0.609791i | ||||||
\(807\) | 8.15036 | + | 2.18388i | 0.286906 | + | 0.0768763i | ||||
\(808\) | 3.92598 | − | 1.05196i | 0.138115 | − | 0.0370079i | ||||
\(809\) | 0.153827i | 0.00540827i | 0.999996 | + | 0.00270413i | \(0.000860753\pi\) | ||||
−0.999996 | + | 0.00270413i | \(0.999139\pi\) | |||||||
\(810\) | 17.1898 | − | 0.329885i | 0.603987 | − | 0.0115910i | ||||
\(811\) | 23.7054 | − | 13.6863i | 0.832411 | − | 0.480593i | −0.0222666 | − | 0.999752i | \(-0.507088\pi\) |
0.854677 | + | 0.519160i | \(0.173755\pi\) | |||||||
\(812\) | −7.47396 | + | 27.8932i | −0.262284 | + | 0.978859i | ||||
\(813\) | −6.14747 | − | 6.14747i | −0.215601 | − | 0.215601i | ||||
\(814\) | −0.230821 | + | 0.133265i | −0.00809028 | + | 0.00467092i | ||||
\(815\) | 3.55491 | − | 2.14441i | 0.124523 | − | 0.0751155i | ||||
\(816\) | − | 0.218650i | − | 0.00765427i | ||||||
\(817\) | −37.5249 | − | 32.3865i | −1.31283 | − | 1.13306i | ||||
\(818\) | 9.76637 | − | 9.76637i | 0.341473 | − | 0.341473i | ||||
\(819\) | −20.8973 | −0.730212 | ||||||||
\(820\) | −1.64857 | − | 5.71182i | −0.0575705 | − | 0.199465i | ||||
\(821\) | 44.2460 | 1.54420 | 0.772099 | − | 0.635502i | \(-0.219207\pi\) | ||||
0.772099 | + | 0.635502i | \(0.219207\pi\) | |||||||
\(822\) | 2.41127 | + | 0.646098i | 0.0841027 | + | 0.0225353i | ||||
\(823\) | −14.2514 | − | 3.81864i | −0.496771 | − | 0.133109i | 0.00172993 | − | 0.999999i | \(-0.499449\pi\) |
−0.498501 | + | 0.866889i | \(0.666116\pi\) | |||||||
\(824\) | 9.36313 | − | 16.2174i | 0.326180 | − | 0.564961i | ||||
\(825\) | −0.0239395 | − | 0.0773418i | −0.000833468 | − | 0.00269270i | ||||
\(826\) | −23.6582 | + | 40.9772i | −0.823175 | + | 1.42578i | ||||
\(827\) | −10.0054 | + | 37.3406i | −0.347921 | + | 1.29846i | 0.541241 | + | 0.840867i | \(0.317955\pi\) |
−0.889162 | + | 0.457592i | \(0.848712\pi\) | |||||||
\(828\) | −6.28269 | + | 6.28269i | −0.218339 | + | 0.218339i | ||||
\(829\) | −12.4133 | − | 21.5005i | −0.431132 | − | 0.746743i | 0.565839 | − | 0.824516i | \(-0.308552\pi\) |
−0.996971 | + | 0.0777727i | \(0.975219\pi\) | |||||||
\(830\) | −4.86722 | + | 5.05768i | −0.168944 | + | 0.175555i | ||||
\(831\) | 2.73983 | − | 4.74552i | 0.0950436 | − | 0.164620i | ||||
\(832\) | −1.66176 | + | 0.445268i | −0.0576113 | + | 0.0154369i | ||||
\(833\) | 4.47579 | − | 4.47579i | 0.155077 | − | 0.155077i | ||||
\(834\) | −6.43230 | − | 3.71369i | −0.222732 | − | 0.128594i | ||||
\(835\) | −0.217685 | − | 11.3432i | −0.00753330 | − | 0.392549i | ||||
\(836\) | −0.275432 | + | 0.159021i | −0.00952601 | + | 0.00549985i | ||||
\(837\) | −21.8907 | − | 5.86559i | −0.756653 | − | 0.202745i | ||||
\(838\) | 14.2082 | − | 14.2082i | 0.490813 | − | 0.490813i | ||||
\(839\) | −16.9353 | −0.584670 | −0.292335 | − | 0.956316i | \(-0.594432\pi\) | ||||
−0.292335 | + | 0.956316i | \(0.594432\pi\) | |||||||
\(840\) | −3.20886 | − | 1.77143i | −0.110716 | − | 0.0611201i | ||||
\(841\) | −8.48328 | − | 14.6935i | −0.292527 | − | 0.506671i | ||||
\(842\) | 8.30219 | − | 2.22456i | 0.286112 | − | 0.0766635i | ||||
\(843\) | −10.5126 | + | 2.81684i | −0.362073 | + | 0.0970173i | ||||
\(844\) | 2.28848 | 0.0787728 | ||||||||
\(845\) | 15.5676 | − | 16.1767i | 0.535540 | − | 0.556497i | ||||
\(846\) | −12.8121 | − | 7.39708i | −0.440490 | − | 0.254317i | ||||
\(847\) | −12.1242 | − | 45.2480i | −0.416592 | − | 1.55474i | ||||
\(848\) | −7.35064 | − | 1.96960i | −0.252422 | − | 0.0676363i | ||||
\(849\) | −1.43829 | −0.0493621 | ||||||||
\(850\) | 0.108989 | + | 2.83859i | 0.00373830 | + | 0.0973628i | ||||
\(851\) | 17.0918 | + | 9.86798i | 0.585901 | + | 0.338270i | ||||
\(852\) | 3.59153 | + | 3.59153i | 0.123044 | + | 0.123044i | ||||
\(853\) | 3.13017 | + | 11.6819i | 0.107175 | + | 0.399982i | 0.998583 | − | 0.0532197i | \(-0.0169484\pi\) |
−0.891408 | + | 0.453202i | \(0.850282\pi\) | |||||||
\(854\) | 2.43018 | + | 4.20919i | 0.0831590 | + | 0.144036i | ||||
\(855\) | −13.3673 | − | 46.3139i | −0.457152 | − | 1.58390i | ||||
\(856\) | − | 14.5460i | − | 0.497173i | ||||||
\(857\) | −7.67014 | + | 28.6254i | −0.262007 | + | 0.977824i | 0.702050 | + | 0.712128i | \(0.252268\pi\) |
−0.964057 | + | 0.265696i | \(0.914398\pi\) | |||||||
\(858\) | 0.0196980 | − | 0.0196980i | 0.000672478 | − | 0.000672478i | ||||
\(859\) | −51.9937 | −1.77400 | −0.887001 | − | 0.461768i | \(-0.847215\pi\) | ||||
−0.887001 | + | 0.461768i | \(0.847215\pi\) | |||||||
\(860\) | −8.47370 | − | 11.9665i | −0.288951 | − | 0.408053i | ||||
\(861\) | 4.35807 | 0.148523 | ||||||||
\(862\) | −9.25046 | + | 9.25046i | −0.315072 | + | 0.315072i | ||||
\(863\) | −1.88538 | + | 7.03632i | −0.0641790 | + | 0.239519i | −0.990562 | − | 0.137062i | \(-0.956234\pi\) |
0.926383 | + | 0.376582i | \(0.122901\pi\) | |||||||
\(864\) | 2.25213i | 0.0766189i | ||||||||
\(865\) | −12.4789 | + | 22.6049i | −0.424294 | + | 0.768588i | ||||
\(866\) | −7.63917 | − | 13.2314i | −0.259590 | − | 0.449622i | ||||
\(867\) | 1.66118 | + | 6.19961i | 0.0564166 | + | 0.210550i | ||||
\(868\) | −30.3069 | − | 30.3069i | −1.02868 | − | 1.02868i | ||||
\(869\) | −0.365387 | − | 0.210956i | −0.0123949 | − | 0.00715619i | ||||
\(870\) | 5.60567 | − | 1.61793i | 0.190050 | − | 0.0548530i | ||||
\(871\) | −11.9718 | −0.405648 | ||||||||
\(872\) | −7.11143 | − | 1.90550i | −0.240823 | − | 0.0645284i | ||||
\(873\) | −7.42735 | − | 27.7193i | −0.251378 | − | 0.938155i | ||||
\(874\) | 20.3952 | + | 11.7752i | 0.689877 | + | 0.398301i | ||||
\(875\) | 42.5416 | + | 21.3978i | 1.43817 | + | 0.723378i | ||||
\(876\) | −4.87352 | −0.164661 | ||||||||
\(877\) | −16.7221 | + | 4.48067i | −0.564665 | + | 0.151302i | −0.529849 | − | 0.848092i | \(-0.677751\pi\) |
−0.0348163 | + | 0.999394i | \(0.511085\pi\) | |||||||
\(878\) | 17.2583 | − | 4.62434i | 0.582438 | − | 0.156064i | ||||
\(879\) | −0.334813 | − | 0.579914i | −0.0112930 | − | 0.0195600i | ||||
\(880\) | −0.0903909 | + | 0.0260890i | −0.00304708 | + | 0.000879460i | ||||
\(881\) | 23.1981 | 0.781564 | 0.390782 | − | 0.920483i | \(-0.372205\pi\) | ||||
0.390782 | + | 0.920483i | \(0.372205\pi\) | |||||||
\(882\) | −22.4673 | + | 22.4673i | −0.756512 | + | 0.756512i | ||||
\(883\) | −36.3992 | − | 9.75314i | −1.22493 | − | 0.328219i | −0.412327 | − | 0.911036i | \(-0.635284\pi\) |
−0.812604 | + | 0.582816i | \(0.801951\pi\) | |||||||
\(884\) | −0.846464 | + | 0.488706i | −0.0284697 | + | 0.0164370i | ||||
\(885\) | 9.55829 | − | 0.183431i | 0.321299 | − | 0.00616596i | ||||
\(886\) | −3.15789 | − | 1.82321i | −0.106091 | − | 0.0612519i | ||||
\(887\) | −34.4304 | + | 34.4304i | −1.15606 | + | 1.15606i | −0.170744 | + | 0.985315i | \(0.554617\pi\) |
−0.985315 | + | 0.170744i | \(0.945383\pi\) | |||||||
\(888\) | 2.35489 | − | 0.630991i | 0.0790249 | − | 0.0211747i | ||||
\(889\) | 12.4706 | − | 21.5997i | 0.418251 | − | 0.724432i | ||||
\(890\) | −31.0148 | + | 0.595197i | −1.03962 | + | 0.0199510i | ||||
\(891\) | 0.161752 | + | 0.280163i | 0.00541890 | + | 0.00938581i | ||||
\(892\) | −4.66864 | + | 4.66864i | −0.156317 | + | 0.156317i | ||||
\(893\) | −10.1490 | + | 37.8766i | −0.339623 | + | 1.26749i | ||||
\(894\) | −0.961205 | + | 1.66486i | −0.0321475 | + | 0.0556811i | ||||
\(895\) | 0.252574 | − | 1.02056i | 0.00844263 | − | 0.0341136i | ||||
\(896\) | −2.12963 | + | 3.68862i | −0.0711458 | + | 0.123228i | ||||
\(897\) | −1.99248 | − | 0.533884i | −0.0665270 | − | 0.0178259i | ||||
\(898\) | 23.6902 | + | 6.34777i | 0.790552 | + | 0.211828i | ||||
\(899\) | 68.2251 | 2.27543 | ||||||||
\(900\) | −0.547097 | − | 14.2489i | −0.0182366 | − | 0.474965i | ||||
\(901\) | −4.32348 | −0.144036 | ||||||||
\(902\) | 0.0790978 | − | 0.0790978i | 0.00263367 | − | 0.00263367i | ||||
\(903\) | 10.1508 | − | 3.53561i | 0.337797 | − | 0.117658i | ||||
\(904\) | − | 5.56764i | − | 0.185177i | ||||||
\(905\) | 9.36821 | − | 37.8535i | 0.311410 | − | 1.25829i | ||||
\(906\) | 1.52632 | − | 0.881221i | 0.0507086 | − | 0.0292766i | ||||
\(907\) | 0.934659 | + | 0.934659i | 0.0310349 | + | 0.0310349i | 0.722454 | − | 0.691419i | \(-0.243014\pi\) |
−0.691419 | + | 0.722454i | \(0.743014\pi\) | |||||||
\(908\) | 3.58253 | − | 13.3702i | 0.118890 | − | 0.443705i | ||||
\(909\) | −10.0385 | + | 5.79571i | −0.332955 | + | 0.192231i | ||||
\(910\) | 0.314380 | + | 16.3819i | 0.0104216 | + | 0.543054i | ||||
\(911\) | − | 11.6084i | − | 0.384602i | −0.981336 | − | 0.192301i | \(-0.938405\pi\) | ||
0.981336 | − | 0.192301i | \(-0.0615950\pi\) | |||||||
\(912\) | 2.81002 | − | 0.752942i | 0.0930490 | − | 0.0249324i | ||||
\(913\) | −0.127575 | − | 0.0341835i | −0.00422211 | − | 0.00113131i | ||||
\(914\) | − | 2.31431i | − | 0.0765506i | ||||||
\(915\) | 0.474598 | − | 0.859711i | 0.0156897 | − | 0.0284212i | ||||
\(916\) | 5.51042 | − | 9.54432i | 0.182069 | − | 0.315353i | ||||
\(917\) | −49.3323 | + | 13.2186i | −1.62910 | + | 0.436515i | ||||
\(918\) | 0.331162 | + | 1.23591i | 0.0109300 | + | 0.0407913i | ||||
\(919\) | − | 0.327708i | − | 0.0108101i | −0.999985 | − | 0.00540505i | \(-0.998280\pi\) | ||
0.999985 | − | 0.00540505i | \(-0.00172049\pi\) | |||||||
\(920\) | 5.01965 | + | 4.83062i | 0.165493 | + | 0.159261i | ||||
\(921\) | −2.57107 | − | 1.48441i | −0.0847195 | − | 0.0489128i | ||||
\(922\) | 2.33100 | + | 0.624589i | 0.0767673 | + | 0.0205697i | ||||
\(923\) | 5.87651 | − | 21.9314i | 0.193428 | − | 0.721882i | ||||
\(924\) | − | 0.0689675i | − | 0.00226887i | ||||||
\(925\) | −30.2575 | + | 9.36558i | −0.994860 | + | 0.307938i | ||||
\(926\) | 3.13737 | + | 5.43409i | 0.103100 | + | 0.178575i | ||||
\(927\) | −13.8223 | + | 51.5855i | −0.453983 | + | 1.69429i | ||||
\(928\) | −1.75476 | − | 6.54885i | −0.0576027 | − | 0.214976i | ||||
\(929\) | 25.4695 | − | 44.1144i | 0.835626 | − | 1.44735i | −0.0578931 | − | 0.998323i | \(-0.518438\pi\) |
0.893519 | − | 0.449025i | \(-0.148228\pi\) | |||||||
\(930\) | −2.08040 | + | 8.40613i | −0.0682190 | + | 0.275648i | ||||
\(931\) | 72.9344 | + | 42.1087i | 2.39033 | + | 1.38006i | ||||
\(932\) | −6.51493 | − | 24.3141i | −0.213404 | − | 0.796434i | ||||
\(933\) | 1.05198 | − | 0.281877i | 0.0344403 | − | 0.00922825i | ||||
\(934\) | −25.0661 | + | 14.4719i | −0.820189 | + | 0.473537i | ||||
\(935\) | −0.0457682 | + | 0.0276085i | −0.00149678 | + | 0.000902895i | ||||
\(936\) | 4.24902 | − | 2.45317i | 0.138883 | − | 0.0801844i | ||||
\(937\) | −11.2128 | − | 41.8467i | −0.366306 | − | 1.36707i | −0.865642 | − | 0.500663i | \(-0.833090\pi\) |
0.499337 | − | 0.866408i | \(-0.333577\pi\) | |||||||
\(938\) | −20.9581 | + | 20.9581i | −0.684305 | + | 0.684305i | ||||
\(939\) | −2.72620 | − | 1.57397i | −0.0889662 | − | 0.0513647i | ||||
\(940\) | −5.60599 | + | 10.1550i | −0.182847 | + | 0.331219i | ||||
\(941\) | 8.07395 | + | 13.9845i | 0.263203 | + | 0.455882i | 0.967091 | − | 0.254429i | \(-0.0818877\pi\) |
−0.703888 | + | 0.710311i | \(0.748554\pi\) | |||||||
\(942\) | 3.50799 | − | 3.50799i | 0.114296 | − | 0.114296i | ||||
\(943\) | −8.00086 | − | 2.14382i | −0.260544 | − | 0.0698125i | ||||
\(944\) | − | 11.1091i | − | 0.361570i | ||||||
\(945\) | 20.8210 | + | 5.15291i | 0.677308 | + | 0.167624i | ||||
\(946\) | 0.120064 | − | 0.248404i | 0.00390360 | − | 0.00807632i | ||||
\(947\) | 18.1941 | + | 18.1941i | 0.591227 | + | 0.591227i | 0.937963 | − | 0.346736i | \(-0.112710\pi\) |
−0.346736 | + | 0.937963i | \(0.612710\pi\) | |||||||
\(948\) | 2.72891 | + | 2.72891i | 0.0886308 | + | 0.0886308i | ||||
\(949\) | 10.8928 | + | 18.8670i | 0.353597 | + | 0.612448i | ||||
\(950\) | −36.1053 | + | 11.1757i | −1.17141 | + | 0.362586i | ||||
\(951\) | −6.05205 | + | 3.49415i | −0.196251 | + | 0.113306i | ||||
\(952\) | −0.626299 | + | 2.33738i | −0.0202985 | + | 0.0757549i | ||||
\(953\) | −25.9113 | + | 6.94291i | −0.839349 | + | 0.224903i | −0.652788 | − | 0.757541i | \(-0.726401\pi\) |
−0.186561 | + | 0.982443i | \(0.559734\pi\) | |||||||
\(954\) | 21.7027 | 0.702651 | ||||||||
\(955\) | 0.690413 | − | 0.717431i | 0.0223412 | − | 0.0232155i | ||||
\(956\) | 6.92668 | + | 11.9974i | 0.224025 | + | 0.388022i | ||||
\(957\) | 0.0776278 | + | 0.0776278i | 0.00250935 | + | 0.00250935i | ||||
\(958\) | 6.80159 | − | 25.3839i | 0.219749 | − | 0.820116i | ||||
\(959\) | −23.9260 | − | 13.8137i | −0.772610 | − | 0.446066i | ||||
\(960\) | 0.860403 | − | 0.0165118i | 0.0277694 | − | 0.000532915i | ||||
\(961\) | −35.1310 | + | 60.8487i | −1.13326 | + | 1.96286i | ||||
\(962\) | −7.70621 | − | 7.70621i | −0.248458 | − | 0.248458i | ||||
\(963\) | 10.7367 | + | 40.0701i | 0.345987 | + | 1.29124i | ||||
\(964\) | 1.07039 | − | 1.85397i | 0.0344750 | − | 0.0597124i | ||||
\(965\) | 4.93867 | − | 8.94617i | 0.158981 | − | 0.287987i | ||||
\(966\) | −4.42271 | + | 2.55345i | −0.142298 | + | 0.0821561i | ||||
\(967\) | 21.1492 | + | 21.1492i | 0.680114 | + | 0.680114i | 0.960026 | − | 0.279912i | \(-0.0903052\pi\) |
−0.279912 | + | 0.960026i | \(0.590305\pi\) | |||||||
\(968\) | 7.77692 | + | 7.77692i | 0.249960 | + | 0.249960i | ||||
\(969\) | 1.43136 | − | 0.826395i | 0.0459818 | − | 0.0265476i | ||||
\(970\) | −21.6180 | + | 6.23947i | −0.694112 | + | 0.200337i | ||||
\(971\) | −18.0736 | + | 31.3044i | −0.580009 | + | 1.00461i | 0.415468 | + | 0.909608i | \(0.363618\pi\) |
−0.995477 | + | 0.0949978i | \(0.969716\pi\) | |||||||
\(972\) | −2.51455 | − | 9.38445i | −0.0806544 | − | 0.301006i | ||||
\(973\) | 58.1242 | + | 58.1242i | 1.86338 | + | 1.86338i | ||||
\(974\) | −6.69945 | + | 11.6038i | −0.214664 | + | 0.371809i | ||||
\(975\) | 2.80135 | − | 1.76402i | 0.0897150 | − | 0.0564940i | ||||
\(976\) | −0.988247 | − | 0.570565i | −0.0316330 | − | 0.0182633i | ||||
\(977\) | −4.60018 | + | 17.1681i | −0.147173 | + | 0.549256i | 0.852476 | + | 0.522766i | \(0.175100\pi\) |
−0.999649 | + | 0.0264905i | \(0.991567\pi\) | |||||||
\(978\) | −0.505259 | − | 0.505259i | −0.0161564 | − | 0.0161564i | ||||
\(979\) | −0.291843 | − | 0.505486i | −0.00932733 | − | 0.0161554i | ||||
\(980\) | 17.9506 | + | 17.2746i | 0.573410 | + | 0.551816i | ||||
\(981\) | 20.9964 | 0.670364 | ||||||||
\(982\) | −20.7452 | + | 5.55867i | −0.662007 | + | 0.177384i | ||||
\(983\) | −9.42805 | + | 35.1860i | −0.300708 | + | 1.12226i | 0.635869 | + | 0.771797i | \(0.280642\pi\) |
−0.936577 | + | 0.350461i | \(0.886025\pi\) | |||||||
\(984\) | −0.886119 | + | 0.511601i | −0.0282484 | + | 0.0163092i | ||||
\(985\) | −21.2026 | + | 12.7900i | −0.675572 | + | 0.407522i | ||||
\(986\) | −1.92594 | − | 3.33583i | −0.0613345 | − | 0.106234i | ||||
\(987\) | −6.01275 | − | 6.01275i | −0.191388 | − | 0.191388i | ||||
\(988\) | −9.19558 | − | 9.19558i | −0.292550 | − | 0.292550i | ||||
\(989\) | −20.3748 | + | 1.49755i | −0.647880 | + | 0.0476192i | ||||
\(990\) | 0.229744 | − | 0.138587i | 0.00730174 | − | 0.00440459i | ||||
\(991\) | − | 28.3357i | − | 0.900114i | −0.893000 | − | 0.450057i | \(-0.851404\pi\) | ||
0.893000 | − | 0.450057i | \(-0.148596\pi\) | |||||||
\(992\) | 9.72002 | + | 2.60447i | 0.308611 | + | 0.0826920i | ||||
\(993\) | −0.802173 | + | 0.802173i | −0.0254562 | + | 0.0254562i | ||||
\(994\) | −28.1061 | − | 48.6812i | −0.891472 | − | 1.54407i | ||||
\(995\) | −18.1991 | + | 5.25271i | −0.576952 | + | 0.166522i | ||||
\(996\) | 1.04624 | + | 0.604050i | 0.0331515 | + | 0.0191400i | ||||
\(997\) | 4.24866 | − | 4.24866i | 0.134556 | − | 0.134556i | −0.636621 | − | 0.771177i | \(-0.719668\pi\) |
0.771177 | + | 0.636621i | \(0.219668\pi\) | |||||||
\(998\) | 8.06609 | + | 30.1031i | 0.255328 | + | 0.952896i | ||||
\(999\) | −12.3553 | + | 7.13334i | −0.390904 | + | 0.225689i |
(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 | 430.2.l.a.7.18 | ✓ | 88 | |
5.3 | odd | 4 | inner | 430.2.l.a.93.7 | yes | 88 | |
43.37 | odd | 6 | inner | 430.2.l.a.37.7 | yes | 88 | |
215.123 | even | 12 | inner | 430.2.l.a.123.18 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.l.a.7.18 | ✓ | 88 | 1.1 | even | 1 | trivial | |
430.2.l.a.37.7 | yes | 88 | 43.37 | odd | 6 | inner | |
430.2.l.a.93.7 | yes | 88 | 5.3 | odd | 4 | inner | |
430.2.l.a.123.18 | yes | 88 | 215.123 | even | 12 | inner |