Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [80,2,Mod(29,80)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(80, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("80.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 80 = 2^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 80.q (of order \(4\), degree \(2\), 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: | \(0.638803216170\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(i)\) |
Coefficient field: | 16.0.534694406811304329216.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2x^{14} - 2x^{12} + 4x^{10} + 4x^{8} + 16x^{6} - 32x^{4} - 128x^{2} + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 29.4 | ||
Root | \(-1.40501 - 0.161069i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 80.29 |
Dual form | 80.2.q.c.69.4 |
$q$-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 \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.161069 | − | 1.40501i | −0.113893 | − | 0.993493i | ||||
\(3\) | 0.734294 | − | 0.734294i | 0.423945 | − | 0.423945i | −0.462615 | − | 0.886559i | \(-0.653089\pi\) |
0.886559 | + | 0.462615i | \(0.153089\pi\) | |||||||
\(4\) | −1.94811 | + | 0.452606i | −0.974057 | + | 0.226303i | ||||
\(5\) | −1.17216 | − | 1.90421i | −0.524207 | − | 0.851591i | ||||
\(6\) | −1.14996 | − | 0.913419i | −0.469470 | − | 0.372902i | ||||
\(7\) | 1.71452 | 0.648029 | 0.324015 | − | 0.946052i | \(-0.394967\pi\) | ||||
0.324015 | + | 0.946052i | \(0.394967\pi\) | |||||||
\(8\) | 0.949697 | + | 2.66422i | 0.335768 | + | 0.941945i | ||||
\(9\) | 1.92163i | 0.640542i | ||||||||
\(10\) | −2.48664 | + | 1.95361i | −0.786346 | + | 0.617786i | ||||
\(11\) | 2.82684 | − | 2.82684i | 0.852324 | − | 0.852324i | −0.138095 | − | 0.990419i | \(-0.544098\pi\) |
0.990419 | + | 0.138095i | \(0.0440980\pi\) | |||||||
\(12\) | −1.09814 | + | 1.76283i | −0.317006 | + | 0.508886i | ||||
\(13\) | −2.59462 | + | 2.59462i | −0.719618 | + | 0.719618i | −0.968527 | − | 0.248909i | \(-0.919928\pi\) |
0.248909 | + | 0.968527i | \(0.419928\pi\) | |||||||
\(14\) | −0.276156 | − | 2.40893i | −0.0738058 | − | 0.643813i | ||||
\(15\) | −2.25896 | − | 0.537540i | −0.583262 | − | 0.138792i | ||||
\(16\) | 3.59030 | − | 1.76346i | 0.897574 | − | 0.440864i | ||||
\(17\) | 1.89939i | 0.460671i | 0.973111 | + | 0.230335i | \(0.0739823\pi\) | ||||
−0.973111 | + | 0.230335i | \(0.926018\pi\) | |||||||
\(18\) | 2.69991 | − | 0.309513i | 0.636374 | − | 0.0729530i | ||||
\(19\) | 2.89623 | + | 2.89623i | 0.664440 | + | 0.664440i | 0.956423 | − | 0.291983i | \(-0.0943151\pi\) |
−0.291983 | + | 0.956423i | \(0.594315\pi\) | |||||||
\(20\) | 3.14537 | + | 3.17910i | 0.703326 | + | 0.710868i | ||||
\(21\) | 1.25896 | − | 1.25896i | 0.274729 | − | 0.274729i | ||||
\(22\) | −4.42705 | − | 3.51643i | −0.943851 | − | 0.749704i | ||||
\(23\) | 2.00613 | 0.418306 | 0.209153 | − | 0.977883i | \(-0.432929\pi\) | ||||
0.209153 | + | 0.977883i | \(0.432929\pi\) | |||||||
\(24\) | 2.65368 | + | 1.25896i | 0.541680 | + | 0.256985i | ||||
\(25\) | −2.25207 | + | 4.46410i | −0.450413 | + | 0.892820i | ||||
\(26\) | 4.06338 | + | 3.22756i | 0.796895 | + | 0.632976i | ||||
\(27\) | 3.61392 | + | 3.61392i | 0.695499 | + | 0.695499i | ||||
\(28\) | −3.34009 | + | 0.776005i | −0.631218 | + | 0.146651i | ||||
\(29\) | −6.72307 | − | 6.72307i | −1.24844 | − | 1.24844i | −0.956408 | − | 0.292034i | \(-0.905668\pi\) |
−0.292034 | − | 0.956408i | \(-0.594332\pi\) | |||||||
\(30\) | −0.391402 | + | 3.26045i | −0.0714599 | + | 0.595274i | ||||
\(31\) | −7.11778 | −1.27839 | −0.639195 | − | 0.769044i | \(-0.720732\pi\) | ||||
−0.639195 | + | 0.769044i | \(0.720732\pi\) | |||||||
\(32\) | −3.05596 | − | 4.76037i | −0.540223 | − | 0.841522i | ||||
\(33\) | − | 4.15146i | − | 0.722676i | ||||||
\(34\) | 2.66867 | − | 0.305932i | 0.457673 | − | 0.0524670i | ||||
\(35\) | −2.00970 | − | 3.26482i | −0.339702 | − | 0.551856i | ||||
\(36\) | −0.869740 | − | 3.74355i | −0.144957 | − | 0.623924i | ||||
\(37\) | 2.25207 | + | 2.25207i | 0.370237 | + | 0.370237i | 0.867564 | − | 0.497326i | \(-0.165685\pi\) |
−0.497326 | + | 0.867564i | \(0.665685\pi\) | |||||||
\(38\) | 3.60274 | − | 4.53572i | 0.584442 | − | 0.735792i | ||||
\(39\) | 3.81042i | 0.610156i | ||||||||
\(40\) | 3.96005 | − | 4.93133i | 0.626139 | − | 0.779712i | ||||
\(41\) | 1.59630i | 0.249301i | 0.992201 | + | 0.124650i | \(0.0397809\pi\) | ||||
−0.992201 | + | 0.124650i | \(0.960219\pi\) | |||||||
\(42\) | −1.97164 | − | 1.56608i | −0.304231 | − | 0.241651i | ||||
\(43\) | −8.06886 | − | 8.06886i | −1.23049 | − | 1.23049i | −0.963776 | − | 0.266715i | \(-0.914062\pi\) |
−0.266715 | − | 0.963776i | \(-0.585938\pi\) | |||||||
\(44\) | −4.22756 | + | 6.78645i | −0.637328 | + | 1.02310i | ||||
\(45\) | 3.65919 | − | 2.25246i | 0.545480 | − | 0.335777i | ||||
\(46\) | −0.323124 | − | 2.81863i | −0.0476420 | − | 0.415585i | ||||
\(47\) | 4.43823i | 0.647383i | 0.946163 | + | 0.323691i | \(0.104924\pi\) | ||||
−0.946163 | + | 0.323691i | \(0.895076\pi\) | |||||||
\(48\) | 1.34144 | − | 3.93123i | 0.193620 | − | 0.567424i | ||||
\(49\) | −4.06040 | −0.580058 | ||||||||
\(50\) | 6.63485 | + | 2.44515i | 0.938310 | + | 0.345797i | ||||
\(51\) | 1.39471 | + | 1.39471i | 0.195299 | + | 0.195299i | ||||
\(52\) | 3.88027 | − | 6.22896i | 0.538097 | − | 0.863801i | ||||
\(53\) | 0.481758 | + | 0.481758i | 0.0661746 | + | 0.0661746i | 0.739420 | − | 0.673245i | \(-0.235100\pi\) |
−0.673245 | + | 0.739420i | \(0.735100\pi\) | |||||||
\(54\) | 4.49551 | − | 5.65968i | 0.611761 | − | 0.770186i | ||||
\(55\) | −8.69642 | − | 2.06939i | −1.17263 | − | 0.279036i | ||||
\(56\) | 1.62828 | + | 4.56787i | 0.217588 | + | 0.610408i | ||||
\(57\) | 4.25336 | 0.563372 | ||||||||
\(58\) | −8.36311 | + | 10.5289i | −1.09813 | + | 1.38251i | ||||
\(59\) | 3.08580 | − | 3.08580i | 0.401737 | − | 0.401737i | −0.477108 | − | 0.878845i | \(-0.658315\pi\) |
0.878845 | + | 0.477108i | \(0.158315\pi\) | |||||||
\(60\) | 4.64401 | + | 0.0247681i | 0.599540 | + | 0.00319755i | ||||
\(61\) | 3.46410 | + | 3.46410i | 0.443533 | + | 0.443533i | 0.893197 | − | 0.449665i | \(-0.148457\pi\) |
−0.449665 | + | 0.893197i | \(0.648457\pi\) | |||||||
\(62\) | 1.14645 | + | 10.0006i | 0.145599 | + | 1.27007i | ||||
\(63\) | 3.29468i | 0.415090i | ||||||||
\(64\) | −6.19615 | + | 5.06040i | −0.774519 | + | 0.632551i | ||||
\(65\) | 7.98203 | + | 1.89939i | 0.990049 | + | 0.235591i | ||||
\(66\) | −5.83285 | + | 0.668669i | −0.717974 | + | 0.0823075i | ||||
\(67\) | 1.80454 | − | 1.80454i | 0.220460 | − | 0.220460i | −0.588232 | − | 0.808692i | \(-0.700176\pi\) |
0.808692 | + | 0.588232i | \(0.200176\pi\) | |||||||
\(68\) | −0.859677 | − | 3.70023i | −0.104251 | − | 0.448719i | ||||
\(69\) | 1.47309 | − | 1.47309i | 0.177339 | − | 0.177339i | ||||
\(70\) | −4.26341 | + | 3.34952i | −0.509575 | + | 0.400344i | ||||
\(71\) | 0.379150i | 0.0449969i | 0.999747 | + | 0.0224984i | \(0.00716208\pi\) | ||||
−0.999747 | + | 0.0224984i | \(0.992838\pi\) | |||||||
\(72\) | −5.11964 | + | 1.82496i | −0.603355 | + | 0.215074i | ||||
\(73\) | 8.37718 | 0.980475 | 0.490237 | − | 0.871589i | \(-0.336910\pi\) | ||||
0.490237 | + | 0.871589i | \(0.336910\pi\) | |||||||
\(74\) | 2.80144 | − | 3.52691i | 0.325661 | − | 0.409995i | ||||
\(75\) | 1.62428 | + | 4.93164i | 0.187556 | + | 0.569456i | ||||
\(76\) | −6.95303 | − | 4.33133i | −0.797567 | − | 0.496838i | ||||
\(77\) | 4.84668 | − | 4.84668i | 0.552331 | − | 0.552331i | ||||
\(78\) | 5.35369 | − | 0.613739i | 0.606186 | − | 0.0694923i | ||||
\(79\) | 11.2566 | 1.26646 | 0.633231 | − | 0.773963i | \(-0.281728\pi\) | ||||
0.633231 | + | 0.773963i | \(0.281728\pi\) | |||||||
\(80\) | −7.56641 | − | 4.76963i | −0.845951 | − | 0.533261i | ||||
\(81\) | −0.457524 | −0.0508360 | ||||||||
\(82\) | 2.24282 | − | 0.257114i | 0.247678 | − | 0.0283935i | ||||
\(83\) | −8.24890 | + | 8.24890i | −0.905435 | + | 0.905435i | −0.995900 | − | 0.0904649i | \(-0.971165\pi\) |
0.0904649 | + | 0.995900i | \(0.471165\pi\) | |||||||
\(84\) | −1.88279 | + | 3.02242i | −0.205429 | + | 0.329773i | ||||
\(85\) | 3.61685 | − | 2.22640i | 0.392303 | − | 0.241487i | ||||
\(86\) | −10.0372 | + | 12.6365i | −1.08234 | + | 1.36263i | ||||
\(87\) | −9.87341 | −1.05854 | ||||||||
\(88\) | 10.2160 | + | 4.84668i | 1.08903 | + | 0.516658i | ||||
\(89\) | − | 11.9820i | − | 1.27009i | −0.772474 | − | 0.635046i | \(-0.780981\pi\) | ||
0.772474 | − | 0.635046i | \(-0.219019\pi\) | |||||||
\(90\) | −3.75411 | − | 4.77840i | −0.395718 | − | 0.503688i | ||||
\(91\) | −4.44854 | + | 4.44854i | −0.466334 | + | 0.466334i | ||||
\(92\) | −3.90816 | + | 0.907986i | −0.407454 | + | 0.0946640i | ||||
\(93\) | −5.22654 | + | 5.22654i | −0.541967 | + | 0.541967i | ||||
\(94\) | 6.23577 | − | 0.714859i | 0.643170 | − | 0.0737321i | ||||
\(95\) | 2.12019 | − | 8.90989i | 0.217526 | − | 0.914136i | ||||
\(96\) | −5.73948 | − | 1.25154i | −0.585783 | − | 0.127734i | ||||
\(97\) | 6.50543i | 0.660526i | 0.943889 | + | 0.330263i | \(0.107137\pi\) | ||||
−0.943889 | + | 0.330263i | \(0.892863\pi\) | |||||||
\(98\) | 0.654003 | + | 5.70491i | 0.0660643 | + | 0.576283i | ||||
\(99\) | 5.43213 | + | 5.43213i | 0.545949 | + | 0.545949i | ||||
\(100\) | 2.36680 | − | 9.71588i | 0.236680 | − | 0.971588i | ||||
\(101\) | −6.72307 | + | 6.72307i | −0.668970 | + | 0.668970i | −0.957478 | − | 0.288508i | \(-0.906841\pi\) |
0.288508 | + | 0.957478i | \(0.406841\pi\) | |||||||
\(102\) | 1.73494 | − | 2.18423i | 0.171785 | − | 0.216271i | ||||
\(103\) | 15.1733 | 1.49506 | 0.747532 | − | 0.664225i | \(-0.231238\pi\) | ||||
0.747532 | + | 0.664225i | \(0.231238\pi\) | |||||||
\(104\) | −9.37674 | − | 4.44854i | −0.919465 | − | 0.436215i | ||||
\(105\) | −3.87305 | − | 0.921626i | −0.377971 | − | 0.0899415i | ||||
\(106\) | 0.599280 | − | 0.754472i | 0.0582072 | − | 0.0732808i | ||||
\(107\) | −1.69781 | − | 1.69781i | −0.164134 | − | 0.164134i | 0.620262 | − | 0.784395i | \(-0.287026\pi\) |
−0.784395 | + | 0.620262i | \(0.787026\pi\) | |||||||
\(108\) | −8.67601 | − | 5.40464i | −0.834849 | − | 0.520062i | ||||
\(109\) | 3.11120 | + | 3.11120i | 0.297999 | + | 0.297999i | 0.840230 | − | 0.542231i | \(-0.182420\pi\) |
−0.542231 | + | 0.840230i | \(0.682420\pi\) | |||||||
\(110\) | −1.50680 | + | 12.5519i | −0.143667 | + | 1.19678i | ||||
\(111\) | 3.30735 | 0.313920 | ||||||||
\(112\) | 6.15565 | − | 3.02349i | 0.581654 | − | 0.285693i | ||||
\(113\) | − | 15.8259i | − | 1.48877i | −0.667748 | − | 0.744387i | \(-0.732742\pi\) | ||
0.667748 | − | 0.744387i | \(-0.267258\pi\) | |||||||
\(114\) | −0.685083 | − | 5.97602i | −0.0641639 | − | 0.559706i | ||||
\(115\) | −2.35151 | − | 3.82010i | −0.219279 | − | 0.356226i | ||||
\(116\) | 16.1402 | + | 10.0544i | 1.49858 | + | 0.933527i | ||||
\(117\) | −4.98589 | − | 4.98589i | −0.460946 | − | 0.460946i | ||||
\(118\) | −4.83261 | − | 3.83856i | −0.444878 | − | 0.353368i | ||||
\(119\) | 3.25656i | 0.298528i | ||||||||
\(120\) | −0.713205 | − | 6.52888i | −0.0651064 | − | 0.596003i | ||||
\(121\) | − | 4.98203i | − | 0.452912i | ||||||
\(122\) | 4.30914 | − | 5.42506i | 0.390132 | − | 0.491162i | ||||
\(123\) | 1.17216 | + | 1.17216i | 0.105690 | + | 0.105690i | ||||
\(124\) | 13.8662 | − | 3.22155i | 1.24523 | − | 0.289304i | ||||
\(125\) | 11.1404 | − | 0.944243i | 0.996427 | − | 0.0844556i | ||||
\(126\) | 4.62906 | − | 0.530669i | 0.412389 | − | 0.0472757i | ||||
\(127\) | − | 18.3239i | − | 1.62598i | −0.582276 | − | 0.812991i | \(-0.697838\pi\) | ||
0.582276 | − | 0.812991i | \(-0.302162\pi\) | |||||||
\(128\) | 8.10793 | + | 7.89059i | 0.716647 | + | 0.697436i | ||||
\(129\) | −11.8498 | −1.04332 | ||||||||
\(130\) | 1.38302 | − | 11.5208i | 0.121298 | − | 1.01044i | ||||
\(131\) | −10.2036 | − | 10.2036i | −0.891491 | − | 0.891491i | 0.103172 | − | 0.994663i | \(-0.467101\pi\) |
−0.994663 | + | 0.103172i | \(0.967101\pi\) | |||||||
\(132\) | 1.87898 | + | 8.08751i | 0.163544 | + | 0.703928i | ||||
\(133\) | 4.96565 | + | 4.96565i | 0.430577 | + | 0.430577i | ||||
\(134\) | −2.82606 | − | 2.24475i | −0.244134 | − | 0.193917i | ||||
\(135\) | 2.64557 | − | 11.1178i | 0.227695 | − | 0.956866i | ||||
\(136\) | −5.06040 | + | 1.80385i | −0.433926 | + | 0.154679i | ||||
\(137\) | −14.9845 | −1.28021 | −0.640107 | − | 0.768286i | \(-0.721110\pi\) | ||||
−0.640107 | + | 0.768286i | \(0.721110\pi\) | |||||||
\(138\) | −2.30697 | − | 1.83244i | −0.196382 | − | 0.155987i | ||||
\(139\) | −8.29094 | + | 8.29094i | −0.703228 | + | 0.703228i | −0.965102 | − | 0.261874i | \(-0.915660\pi\) |
0.261874 | + | 0.965102i | \(0.415660\pi\) | |||||||
\(140\) | 5.39281 | + | 5.45064i | 0.455776 | + | 0.460663i | ||||
\(141\) | 3.25896 | + | 3.25896i | 0.274454 | + | 0.274454i | ||||
\(142\) | 0.532711 | − | 0.0610692i | 0.0447041 | − | 0.00512481i | ||||
\(143\) | 14.6691i | 1.22670i | ||||||||
\(144\) | 3.38870 | + | 6.89920i | 0.282392 | + | 0.574934i | ||||
\(145\) | −4.92163 | + | 20.6827i | −0.408719 | + | 1.71760i | ||||
\(146\) | −1.34930 | − | 11.7700i | −0.111669 | − | 0.974095i | ||||
\(147\) | −2.98153 | + | 2.98153i | −0.245912 | + | 0.245912i | ||||
\(148\) | −5.40658 | − | 3.36798i | −0.444418 | − | 0.276846i | ||||
\(149\) | −7.30735 | + | 7.30735i | −0.598642 | + | 0.598642i | −0.939951 | − | 0.341309i | \(-0.889130\pi\) |
0.341309 | + | 0.939951i | \(0.389130\pi\) | |||||||
\(150\) | 6.66739 | − | 3.07647i | 0.544390 | − | 0.251193i | ||||
\(151\) | − | 4.56873i | − | 0.371798i | −0.982569 | − | 0.185899i | \(-0.940480\pi\) | ||
0.982569 | − | 0.185899i | \(-0.0595197\pi\) | |||||||
\(152\) | −4.96565 | + | 10.4667i | −0.402768 | + | 0.848964i | ||||
\(153\) | −3.64992 | −0.295079 | ||||||||
\(154\) | −7.59030 | − | 6.02900i | −0.611643 | − | 0.485831i | ||||
\(155\) | 8.34320 | + | 13.5538i | 0.670142 | + | 1.08867i | ||||
\(156\) | −1.72462 | − | 7.42314i | −0.138080 | − | 0.594327i | ||||
\(157\) | −1.52966 | + | 1.52966i | −0.122080 | + | 0.122080i | −0.765507 | − | 0.643427i | \(-0.777512\pi\) |
0.643427 | + | 0.765507i | \(0.277512\pi\) | |||||||
\(158\) | −1.81308 | − | 15.8156i | −0.144241 | − | 1.25822i | ||||
\(159\) | 0.707504 | 0.0561087 | ||||||||
\(160\) | −5.48268 | + | 11.3991i | −0.433444 | + | 0.901181i | ||||
\(161\) | 3.43955 | 0.271075 | ||||||||
\(162\) | 0.0736928 | + | 0.642827i | 0.00578985 | + | 0.0505053i | ||||
\(163\) | 10.1361 | − | 10.1361i | 0.793918 | − | 0.793918i | −0.188211 | − | 0.982129i | \(-0.560269\pi\) |
0.982129 | + | 0.188211i | \(0.0602689\pi\) | |||||||
\(164\) | −0.722497 | − | 3.10978i | −0.0564175 | − | 0.242833i | ||||
\(165\) | −7.90527 | + | 4.86619i | −0.615424 | + | 0.378832i | ||||
\(166\) | 12.9184 | + | 10.2612i | 1.00267 | + | 0.796421i | ||||
\(167\) | 2.57967 | 0.199621 | 0.0998105 | − | 0.995006i | \(-0.468176\pi\) | ||||
0.0998105 | + | 0.995006i | \(0.468176\pi\) | |||||||
\(168\) | 4.54979 | + | 2.15853i | 0.351024 | + | 0.166534i | ||||
\(169\) | − | 0.464102i | − | 0.0357001i | ||||||
\(170\) | −3.71068 | − | 4.72312i | −0.284596 | − | 0.362246i | ||||
\(171\) | −5.56547 | + | 5.56547i | −0.425602 | + | 0.425602i | ||||
\(172\) | 19.3711 | + | 12.0670i | 1.47703 | + | 0.920104i | ||||
\(173\) | −14.1773 | + | 14.1773i | −1.07788 | + | 1.07788i | −0.0811779 | + | 0.996700i | \(0.525868\pi\) |
−0.996700 | + | 0.0811779i | \(0.974132\pi\) | |||||||
\(174\) | 1.59030 | + | 13.8723i | 0.120560 | + | 1.05165i | ||||
\(175\) | −3.86122 | + | 7.65381i | −0.291881 | + | 0.578574i | ||||
\(176\) | 5.16418 | − | 15.1342i | 0.389264 | − | 1.14078i | ||||
\(177\) | − | 4.53177i | − | 0.340629i | ||||||
\(178\) | −16.8349 | + | 1.92993i | −1.26183 | + | 0.144654i | ||||
\(179\) | −9.88067 | − | 9.88067i | −0.738516 | − | 0.738516i | 0.233775 | − | 0.972291i | \(-0.424892\pi\) |
−0.972291 | + | 0.233775i | \(0.924892\pi\) | |||||||
\(180\) | −6.10904 | + | 6.04422i | −0.455341 | + | 0.450510i | ||||
\(181\) | 6.20514 | − | 6.20514i | 0.461224 | − | 0.461224i | −0.437832 | − | 0.899057i | \(-0.644254\pi\) |
0.899057 | + | 0.437832i | \(0.144254\pi\) | |||||||
\(182\) | 6.96677 | + | 5.53373i | 0.516411 | + | 0.410187i | ||||
\(183\) | 5.08733 | 0.376067 | ||||||||
\(184\) | 1.90521 | + | 5.34477i | 0.140454 | + | 0.394021i | ||||
\(185\) | 1.64863 | − | 6.92820i | 0.121209 | − | 0.509372i | ||||
\(186\) | 8.18518 | + | 6.50152i | 0.600166 | + | 0.476714i | ||||
\(187\) | 5.36928 | + | 5.36928i | 0.392641 | + | 0.392641i | ||||
\(188\) | −2.00877 | − | 8.64618i | −0.146505 | − | 0.630587i | ||||
\(189\) | 6.19615 | + | 6.19615i | 0.450704 | + | 0.450704i | ||||
\(190\) | −12.8600 | − | 1.54378i | −0.932962 | − | 0.111998i | ||||
\(191\) | 18.9282 | 1.36960 | 0.684798 | − | 0.728733i | \(-0.259890\pi\) | ||||
0.684798 | + | 0.728733i | \(0.259890\pi\) | |||||||
\(192\) | −0.833972 | + | 8.26562i | −0.0601868 | + | 0.596520i | ||||
\(193\) | − | 4.42987i | − | 0.318869i | −0.987209 | − | 0.159434i | \(-0.949033\pi\) | ||
0.987209 | − | 0.159434i | \(-0.0509670\pi\) | |||||||
\(194\) | 9.14020 | − | 1.04782i | 0.656228 | − | 0.0752291i | ||||
\(195\) | 7.25587 | − | 4.46644i | 0.519603 | − | 0.319849i | ||||
\(196\) | 7.91013 | − | 1.83776i | 0.565009 | − | 0.131269i | ||||
\(197\) | −6.39341 | − | 6.39341i | −0.455511 | − | 0.455511i | 0.441667 | − | 0.897179i | \(-0.354387\pi\) |
−0.897179 | + | 0.441667i | \(0.854387\pi\) | |||||||
\(198\) | 6.75725 | − | 8.50714i | 0.480217 | − | 0.604576i | ||||
\(199\) | − | 5.85641i | − | 0.415150i | −0.978219 | − | 0.207575i | \(-0.933443\pi\) | ||
0.978219 | − | 0.207575i | \(-0.0665570\pi\) | |||||||
\(200\) | −14.0321 | − | 1.76046i | −0.992222 | − | 0.124483i | ||||
\(201\) | − | 2.65013i | − | 0.186926i | ||||||
\(202\) | 10.5289 | + | 8.36311i | 0.740808 | + | 0.588426i | ||||
\(203\) | −11.5269 | − | 11.5269i | −0.809027 | − | 0.809027i | ||||
\(204\) | −3.34831 | − | 2.08580i | −0.234429 | − | 0.146035i | ||||
\(205\) | 3.03970 | − | 1.87113i | 0.212302 | − | 0.130685i | ||||
\(206\) | −2.44393 | − | 21.3186i | −0.170277 | − | 1.48534i | ||||
\(207\) | 3.85503i | 0.267943i | ||||||||
\(208\) | −4.73995 | + | 13.8910i | −0.328656 | + | 0.963164i | ||||
\(209\) | 16.3743 | 1.13264 | ||||||||
\(210\) | −0.671068 | + | 5.59013i | −0.0463081 | + | 0.385755i | ||||
\(211\) | 7.60373 | + | 7.60373i | 0.523462 | + | 0.523462i | 0.918615 | − | 0.395153i | \(-0.129308\pi\) |
−0.395153 | + | 0.918615i | \(0.629308\pi\) | |||||||
\(212\) | −1.15657 | − | 0.720473i | −0.0794334 | − | 0.0494823i | ||||
\(213\) | 0.278408 | + | 0.278408i | 0.0190762 | + | 0.0190762i | ||||
\(214\) | −2.11198 | + | 2.65891i | −0.144372 | + | 0.181759i | ||||
\(215\) | −5.90682 | + | 24.8229i | −0.402842 | + | 1.69291i | ||||
\(216\) | −6.19615 | + | 13.0604i | −0.421595 | + | 0.888648i | ||||
\(217\) | −12.2036 | −0.828435 | ||||||||
\(218\) | 3.87016 | − | 4.87239i | 0.262120 | − | 0.330000i | ||||
\(219\) | 6.15131 | − | 6.15131i | 0.415667 | − | 0.415667i | ||||
\(220\) | 17.8782 | + | 0.0953508i | 1.20535 | + | 0.00642855i | ||||
\(221\) | −4.92820 | − | 4.92820i | −0.331507 | − | 0.331507i | ||||
\(222\) | −0.532711 | − | 4.64687i | −0.0357532 | − | 0.311877i | ||||
\(223\) | − | 9.22430i | − | 0.617705i | −0.951110 | − | 0.308853i | \(-0.900055\pi\) | ||
0.951110 | − | 0.308853i | \(-0.0999450\pi\) | |||||||
\(224\) | −5.23952 | − | 8.16177i | −0.350080 | − | 0.545331i | ||||
\(225\) | −8.57833 | − | 4.32763i | −0.571889 | − | 0.288508i | ||||
\(226\) | −22.2356 | + | 2.54905i | −1.47909 | + | 0.169560i | ||||
\(227\) | 9.21725 | − | 9.21725i | 0.611770 | − | 0.611770i | −0.331637 | − | 0.943407i | \(-0.607601\pi\) |
0.943407 | + | 0.331637i | \(0.107601\pi\) | |||||||
\(228\) | −8.28603 | + | 1.92510i | −0.548756 | + | 0.127493i | ||||
\(229\) | 1.63811 | − | 1.63811i | 0.108250 | − | 0.108250i | −0.650907 | − | 0.759157i | \(-0.725611\pi\) |
0.759157 | + | 0.650907i | \(0.225611\pi\) | |||||||
\(230\) | −4.98852 | + | 3.91919i | −0.328934 | + | 0.258424i | ||||
\(231\) | − | 7.11778i | − | 0.468315i | ||||||
\(232\) | 11.5269 | − | 24.2966i | 0.756776 | − | 1.59515i | ||||
\(233\) | 12.3798 | 0.811026 | 0.405513 | − | 0.914089i | \(-0.367093\pi\) | ||||
0.405513 | + | 0.914089i | \(0.367093\pi\) | |||||||
\(234\) | −6.20216 | + | 7.80830i | −0.405448 | + | 0.510445i | ||||
\(235\) | 8.45134 | − | 5.20233i | 0.551305 | − | 0.339363i | ||||
\(236\) | −4.61484 | + | 7.40815i | −0.300401 | + | 0.482229i | ||||
\(237\) | 8.26562 | − | 8.26562i | 0.536910 | − | 0.536910i | ||||
\(238\) | 4.57550 | − | 0.524529i | 0.296586 | − | 0.0340002i | ||||
\(239\) | −7.77449 | −0.502890 | −0.251445 | − | 0.967872i | \(-0.580906\pi\) | ||||
−0.251445 | + | 0.967872i | \(0.580906\pi\) | |||||||
\(240\) | −9.05828 | + | 2.05366i | −0.584709 | + | 0.132563i | ||||
\(241\) | −3.47068 | −0.223566 | −0.111783 | − | 0.993733i | \(-0.535656\pi\) | ||||
−0.111783 | + | 0.993733i | \(0.535656\pi\) | |||||||
\(242\) | −6.99981 | + | 0.802448i | −0.449965 | + | 0.0515833i | ||||
\(243\) | −11.1777 | + | 11.1777i | −0.717051 | + | 0.717051i | ||||
\(244\) | −8.31634 | − | 5.18059i | −0.532399 | − | 0.331653i | ||||
\(245\) | 4.75946 | + | 7.73188i | 0.304071 | + | 0.493972i | ||||
\(246\) | 1.45809 | − | 1.83569i | 0.0929647 | − | 0.117039i | ||||
\(247\) | −15.0292 | −0.956286 | ||||||||
\(248\) | −6.75973 | − | 18.9633i | −0.429243 | − | 1.20417i | ||||
\(249\) | 12.1142i | 0.767708i | ||||||||
\(250\) | −3.12104 | − | 15.5003i | −0.197392 | − | 0.980325i | ||||
\(251\) | 8.94765 | − | 8.94765i | 0.564771 | − | 0.564771i | −0.365888 | − | 0.930659i | \(-0.619235\pi\) |
0.930659 | + | 0.365888i | \(0.119235\pi\) | |||||||
\(252\) | −1.49119 | − | 6.41840i | −0.0939362 | − | 0.404321i | ||||
\(253\) | 5.67100 | − | 5.67100i | 0.356533 | − | 0.356533i | ||||
\(254\) | −25.7453 | + | 2.95140i | −1.61540 | + | 0.185187i | ||||
\(255\) | 1.02100 | − | 4.29066i | 0.0639375 | − | 0.268692i | ||||
\(256\) | 9.78044 | − | 12.6627i | 0.611277 | − | 0.791416i | ||||
\(257\) | − | 3.62228i | − | 0.225952i | −0.993598 | − | 0.112976i | \(-0.963962\pi\) | ||
0.993598 | − | 0.112976i | \(-0.0360383\pi\) | |||||||
\(258\) | 1.90863 | + | 16.6491i | 0.118826 | + | 1.03653i | ||||
\(259\) | 3.86122 | + | 3.86122i | 0.239925 | + | 0.239925i | ||||
\(260\) | −16.4096 | − | 0.0875179i | −1.01768 | − | 0.00542763i | ||||
\(261\) | 12.9192 | − | 12.9192i | 0.799680 | − | 0.799680i | ||||
\(262\) | −12.6927 | + | 15.9796i | −0.784156 | + | 0.987224i | ||||
\(263\) | 13.7416 | 0.847345 | 0.423673 | − | 0.905815i | \(-0.360741\pi\) | ||||
0.423673 | + | 0.905815i | \(0.360741\pi\) | |||||||
\(264\) | 11.0604 | − | 3.94263i | 0.680721 | − | 0.242652i | ||||
\(265\) | 0.352672 | − | 1.48207i | 0.0216644 | − | 0.0910429i | ||||
\(266\) | 6.17699 | − | 7.77661i | 0.378736 | − | 0.476815i | ||||
\(267\) | −8.79833 | − | 8.79833i | −0.538449 | − | 0.538449i | ||||
\(268\) | −2.69871 | + | 4.33221i | −0.164850 | + | 0.264632i | ||||
\(269\) | −4.22240 | − | 4.22240i | −0.257444 | − | 0.257444i | 0.566570 | − | 0.824014i | \(-0.308270\pi\) |
−0.824014 | + | 0.566570i | \(0.808270\pi\) | |||||||
\(270\) | −16.0467 | − | 1.92633i | −0.976572 | − | 0.117233i | ||||
\(271\) | −5.40015 | −0.328036 | −0.164018 | − | 0.986457i | \(-0.552445\pi\) | ||||
−0.164018 | + | 0.986457i | \(0.552445\pi\) | |||||||
\(272\) | 3.34950 | + | 6.81938i | 0.203093 | + | 0.413486i | ||||
\(273\) | 6.53307i | 0.395399i | ||||||||
\(274\) | 2.41353 | + | 21.0534i | 0.145807 | + | 1.27188i | ||||
\(275\) | 6.25307 | + | 18.9855i | 0.377074 | + | 1.14487i | ||||
\(276\) | −2.20301 | + | 3.53647i | −0.132606 | + | 0.212870i | ||||
\(277\) | 5.08733 | + | 5.08733i | 0.305668 | + | 0.305668i | 0.843227 | − | 0.537558i | \(-0.180653\pi\) |
−0.537558 | + | 0.843227i | \(0.680653\pi\) | |||||||
\(278\) | 12.9843 | + | 10.3135i | 0.778745 | + | 0.618560i | ||||
\(279\) | − | 13.6777i | − | 0.818863i | ||||||
\(280\) | 6.78960 | − | 8.45489i | 0.405756 | − | 0.505276i | ||||
\(281\) | 21.2780i | 1.26934i | 0.772784 | + | 0.634669i | \(0.218864\pi\) | ||||
−0.772784 | + | 0.634669i | \(0.781136\pi\) | |||||||
\(282\) | 4.05397 | − | 5.10380i | 0.241410 | − | 0.303927i | ||||
\(283\) | −4.08521 | − | 4.08521i | −0.242840 | − | 0.242840i | 0.575184 | − | 0.818024i | \(-0.304931\pi\) |
−0.818024 | + | 0.575184i | \(0.804931\pi\) | |||||||
\(284\) | −0.171606 | − | 0.738628i | −0.0101829 | − | 0.0438295i | ||||
\(285\) | −4.98564 | − | 8.09931i | −0.295324 | − | 0.479762i | ||||
\(286\) | 20.6103 | − | 2.36274i | 1.21871 | − | 0.139712i | ||||
\(287\) | 2.73690i | 0.161554i | ||||||||
\(288\) | 9.14765 | − | 5.87241i | 0.539030 | − | 0.346035i | ||||
\(289\) | 13.3923 | 0.787783 | ||||||||
\(290\) | 29.8521 | + | 3.58361i | 1.75298 | + | 0.210437i | ||||
\(291\) | 4.77689 | + | 4.77689i | 0.280026 | + | 0.280026i | ||||
\(292\) | −16.3197 | + | 3.79156i | −0.955038 | + | 0.221884i | ||||
\(293\) | 7.40400 | + | 7.40400i | 0.432547 | + | 0.432547i | 0.889494 | − | 0.456947i | \(-0.151057\pi\) |
−0.456947 | + | 0.889494i | \(0.651057\pi\) | |||||||
\(294\) | 4.66931 | + | 3.70885i | 0.272320 | + | 0.216305i | ||||
\(295\) | −9.49310 | − | 2.25896i | −0.552709 | − | 0.131522i | ||||
\(296\) | −3.86122 | + | 8.13878i | −0.224429 | + | 0.473057i | ||||
\(297\) | 20.4319 | 1.18558 | ||||||||
\(298\) | 11.4439 | + | 9.08993i | 0.662927 | + | 0.526566i | ||||
\(299\) | −5.20514 | + | 5.20514i | −0.301021 | + | 0.301021i | ||||
\(300\) | −5.39638 | − | 8.87223i | −0.311560 | − | 0.512238i | ||||
\(301\) | −13.8343 | − | 13.8343i | −0.797394 | − | 0.797394i | ||||
\(302\) | −6.41911 | + | 0.735878i | −0.369378 | + | 0.0423450i | ||||
\(303\) | 9.87341i | 0.567212i | ||||||||
\(304\) | 15.5057 | + | 5.29094i | 0.889312 | + | 0.303456i | ||||
\(305\) | 2.53590 | − | 10.6569i | 0.145205 | − | 0.610212i | ||||
\(306\) | 0.587888 | + | 5.12818i | 0.0336073 | + | 0.293159i | ||||
\(307\) | −16.6634 | + | 16.6634i | −0.951030 | + | 0.951030i | −0.998856 | − | 0.0478262i | \(-0.984771\pi\) |
0.0478262 | + | 0.998856i | \(0.484771\pi\) | |||||||
\(308\) | −7.24825 | + | 11.6355i | −0.413008 | + | 0.662996i | ||||
\(309\) | 11.1416 | − | 11.1416i | 0.633825 | − | 0.633825i | ||||
\(310\) | 17.6994 | − | 13.9054i | 1.00526 | − | 0.789772i | ||||
\(311\) | 21.9072i | 1.24224i | 0.783714 | + | 0.621122i | \(0.213323\pi\) | ||||
−0.783714 | + | 0.621122i | \(0.786677\pi\) | |||||||
\(312\) | −10.1518 | + | 3.61875i | −0.574733 | + | 0.204871i | ||||
\(313\) | 12.4820 | 0.705525 | 0.352763 | − | 0.935713i | \(-0.385242\pi\) | ||||
0.352763 | + | 0.935713i | \(0.385242\pi\) | |||||||
\(314\) | 2.39556 | + | 1.90280i | 0.135189 | + | 0.107381i | ||||
\(315\) | 6.27377 | − | 3.86190i | 0.353487 | − | 0.217593i | ||||
\(316\) | −21.9291 | + | 5.09479i | −1.23361 | + | 0.286604i | ||||
\(317\) | −4.24325 | + | 4.24325i | −0.238324 | + | 0.238324i | −0.816156 | − | 0.577832i | \(-0.803899\pi\) |
0.577832 | + | 0.816156i | \(0.303899\pi\) | |||||||
\(318\) | −0.113957 | − | 0.994051i | −0.00639037 | − | 0.0557436i | ||||
\(319\) | −38.0100 | −2.12815 | ||||||||
\(320\) | 16.8990 | + | 5.86718i | 0.944683 | + | 0.327985i | ||||
\(321\) | −2.49338 | −0.139167 | ||||||||
\(322\) | −0.554004 | − | 4.83261i | −0.0308734 | − | 0.269311i | ||||
\(323\) | −5.50108 | + | 5.50108i | −0.306088 | + | 0.306088i | ||||
\(324\) | 0.891310 | − | 0.207078i | 0.0495172 | − | 0.0115044i | ||||
\(325\) | −5.73939 | − | 17.4259i | −0.318364 | − | 0.966615i | ||||
\(326\) | −15.8739 | − | 12.6087i | −0.879173 | − | 0.698330i | ||||
\(327\) | 4.56907 | 0.252670 | ||||||||
\(328\) | −4.25290 | + | 1.51600i | −0.234827 | + | 0.0837073i | ||||
\(329\) | 7.60946i | 0.419523i | ||||||||
\(330\) | 8.11034 | + | 10.3232i | 0.446460 | + | 0.568273i | ||||
\(331\) | 1.10377 | − | 1.10377i | 0.0606688 | − | 0.0606688i | −0.676121 | − | 0.736790i | \(-0.736341\pi\) |
0.736790 | + | 0.676121i | \(0.236341\pi\) | |||||||
\(332\) | 12.3363 | − | 19.8033i | 0.677042 | − | 1.08685i | ||||
\(333\) | −4.32763 | + | 4.32763i | −0.237152 | + | 0.237152i | ||||
\(334\) | −0.415504 | − | 3.62447i | −0.0227354 | − | 0.198322i | ||||
\(335\) | −5.55146 | − | 1.32102i | −0.303309 | − | 0.0721749i | ||||
\(336\) | 2.29992 | − | 6.74018i | 0.125471 | − | 0.367707i | ||||
\(337\) | 7.47635i | 0.407263i | 0.979048 | + | 0.203631i | \(0.0652744\pi\) | ||||
−0.979048 | + | 0.203631i | \(0.934726\pi\) | |||||||
\(338\) | −0.652068 | + | 0.0747522i | −0.0354678 | + | 0.00406598i | ||||
\(339\) | −11.6208 | − | 11.6208i | −0.631158 | − | 0.631158i | ||||
\(340\) | −6.03836 | + | 5.97429i | −0.327476 | + | 0.324001i | ||||
\(341\) | −20.1208 | + | 20.1208i | −1.08960 | + | 1.08960i | ||||
\(342\) | 8.71597 | + | 6.92312i | 0.471305 | + | 0.374360i | ||||
\(343\) | −18.9633 | −1.02392 | ||||||||
\(344\) | 13.8343 | − | 29.1602i | 0.745894 | − | 1.57221i | ||||
\(345\) | −4.53177 | − | 1.07837i | −0.243982 | − | 0.0580577i | ||||
\(346\) | 22.2027 | + | 17.6357i | 1.19363 | + | 0.948102i | ||||
\(347\) | 8.56074 | + | 8.56074i | 0.459565 | + | 0.459565i | 0.898512 | − | 0.438948i | \(-0.144649\pi\) |
−0.438948 | + | 0.898512i | \(0.644649\pi\) | |||||||
\(348\) | 19.2345 | − | 4.46877i | 1.03108 | − | 0.239551i | ||||
\(349\) | 7.91567 | + | 7.91567i | 0.423716 | + | 0.423716i | 0.886481 | − | 0.462765i | \(-0.153143\pi\) |
−0.462765 | + | 0.886481i | \(0.653143\pi\) | |||||||
\(350\) | 11.3756 | + | 4.19227i | 0.608052 | + | 0.224086i | ||||
\(351\) | −18.7535 | −1.00099 | ||||||||
\(352\) | −22.0955 | − | 4.81809i | −1.17769 | − | 0.256805i | ||||
\(353\) | 9.67314i | 0.514849i | 0.966298 | + | 0.257425i | \(0.0828739\pi\) | ||||
−0.966298 | + | 0.257425i | \(0.917126\pi\) | |||||||
\(354\) | −6.36719 | + | 0.729926i | −0.338412 | + | 0.0387951i | ||||
\(355\) | 0.721984 | − | 0.444426i | 0.0383189 | − | 0.0235877i | ||||
\(356\) | 5.42314 | + | 23.3424i | 0.287426 | + | 1.23714i | ||||
\(357\) | 2.39127 | + | 2.39127i | 0.126559 | + | 0.126559i | ||||
\(358\) | −12.2910 | + | 15.4739i | −0.649599 | + | 0.817822i | ||||
\(359\) | 17.0867i | 0.901799i | 0.892575 | + | 0.450900i | \(0.148897\pi\) | ||||
−0.892575 | + | 0.450900i | \(0.851103\pi\) | |||||||
\(360\) | 9.47617 | + | 7.60973i | 0.499438 | + | 0.401068i | ||||
\(361\) | − | 2.22373i | − | 0.117038i | ||||||
\(362\) | −9.71774 | − | 7.71884i | −0.510753 | − | 0.405693i | ||||
\(363\) | −3.65827 | − | 3.65827i | −0.192010 | − | 0.192010i | ||||
\(364\) | 6.65283 | − | 10.6797i | 0.348703 | − | 0.559768i | ||||
\(365\) | −9.81943 | − | 15.9519i | −0.513972 | − | 0.834963i | ||||
\(366\) | −0.819410 | − | 7.14776i | −0.0428312 | − | 0.373620i | ||||
\(367\) | 13.4500i | 0.702086i | 0.936359 | + | 0.351043i | \(0.114173\pi\) | ||||
−0.936359 | + | 0.351043i | \(0.885827\pi\) | |||||||
\(368\) | 7.20259 | − | 3.53772i | 0.375461 | − | 0.184416i | ||||
\(369\) | −3.06750 | −0.159688 | ||||||||
\(370\) | −9.99975 | − | 1.20042i | −0.519862 | − | 0.0624070i | ||||
\(371\) | 0.825987 | + | 0.825987i | 0.0428831 | + | 0.0428831i | ||||
\(372\) | 7.81633 | − | 12.5475i | 0.405258 | − | 0.650555i | ||||
\(373\) | −12.0271 | − | 12.0271i | −0.622740 | − | 0.622740i | 0.323491 | − | 0.946231i | \(-0.395143\pi\) |
−0.946231 | + | 0.323491i | \(0.895143\pi\) | |||||||
\(374\) | 6.67908 | − | 8.40872i | 0.345367 | − | 0.434804i | ||||
\(375\) | 7.48697 | − | 8.87367i | 0.386625 | − | 0.458234i | ||||
\(376\) | −11.8244 | + | 4.21497i | −0.609798 | + | 0.217371i | ||||
\(377\) | 34.8876 | 1.79680 | ||||||||
\(378\) | 7.70766 | − | 9.70367i | 0.396439 | − | 0.499103i | ||||
\(379\) | 19.1552 | − | 19.1552i | 0.983936 | − | 0.983936i | −0.0159369 | − | 0.999873i | \(-0.505073\pi\) |
0.999873 | + | 0.0159369i | \(0.00507308\pi\) | |||||||
\(380\) | −0.0976914 | + | 18.3171i | −0.00501146 | + | 0.939647i | ||||
\(381\) | −13.4551 | − | 13.4551i | −0.689327 | − | 0.689327i | ||||
\(382\) | −3.04874 | − | 26.5943i | −0.155987 | − | 1.36068i | ||||
\(383\) | − | 17.7503i | − | 0.907000i | −0.891256 | − | 0.453500i | \(-0.850175\pi\) | ||
0.891256 | − | 0.453500i | \(-0.149825\pi\) | |||||||
\(384\) | 11.7476 | − | 0.159590i | 0.599493 | − | 0.00814406i | ||||
\(385\) | −14.9102 | − | 3.54802i | −0.759896 | − | 0.180824i | ||||
\(386\) | −6.22401 | + | 0.713512i | −0.316794 | + | 0.0363168i | ||||
\(387\) | 15.5053 | − | 15.5053i | 0.788181 | − | 0.788181i | ||||
\(388\) | −2.94440 | − | 12.6733i | −0.149479 | − | 0.643390i | ||||
\(389\) | −1.18654 | + | 1.18654i | −0.0601602 | + | 0.0601602i | −0.736547 | − | 0.676387i | \(-0.763545\pi\) |
0.676387 | + | 0.736547i | \(0.263545\pi\) | |||||||
\(390\) | −7.44409 | − | 9.47517i | −0.376946 | − | 0.479794i | ||||
\(391\) | 3.81042i | 0.192701i | ||||||||
\(392\) | −3.85615 | − | 10.8178i | −0.194765 | − | 0.546382i | ||||
\(393\) | −14.9848 | −0.755886 | ||||||||
\(394\) | −7.95303 | + | 10.0126i | −0.400668 | + | 0.504427i | ||||
\(395\) | −13.1945 | − | 21.4349i | −0.663889 | − | 1.07851i | ||||
\(396\) | −13.0410 | − | 8.12379i | −0.655336 | − | 0.408236i | ||||
\(397\) | −4.74478 | + | 4.74478i | −0.238134 | + | 0.238134i | −0.816077 | − | 0.577943i | \(-0.803855\pi\) |
0.577943 | + | 0.816077i | \(0.303855\pi\) | |||||||
\(398\) | −8.22832 | + | 0.943283i | −0.412448 | + | 0.0472825i | ||||
\(399\) | 7.29250 | 0.365081 | ||||||||
\(400\) | −0.213328 | + | 19.9989i | −0.0106664 | + | 0.999943i | ||||
\(401\) | 0.632677 | 0.0315944 | 0.0157972 | − | 0.999875i | \(-0.494971\pi\) | ||||
0.0157972 | + | 0.999875i | \(0.494971\pi\) | |||||||
\(402\) | −3.72346 | + | 0.426853i | −0.185709 | + | 0.0212895i | ||||
\(403\) | 18.4679 | − | 18.4679i | 0.919953 | − | 0.919953i | ||||
\(404\) | 10.0544 | − | 16.1402i | 0.500225 | − | 0.803005i | ||||
\(405\) | 0.536293 | + | 0.871224i | 0.0266486 | + | 0.0432915i | ||||
\(406\) | −14.3388 | + | 18.0520i | −0.711621 | + | 0.895905i | ||||
\(407\) | 12.7324 | 0.631124 | ||||||||
\(408\) | −2.39127 | + | 5.04038i | −0.118385 | + | 0.249536i | ||||
\(409\) | 26.3809i | 1.30445i | 0.758024 | + | 0.652226i | \(0.226165\pi\) | ||||
−0.758024 | + | 0.652226i | \(0.773835\pi\) | |||||||
\(410\) | −3.11856 | − | 3.96944i | −0.154015 | − | 0.196037i | ||||
\(411\) | −11.0030 | + | 11.0030i | −0.542739 | + | 0.542739i | ||||
\(412\) | −29.5592 | + | 6.86751i | −1.45628 | + | 0.338338i | ||||
\(413\) | 5.29069 | − | 5.29069i | 0.260338 | − | 0.260338i | ||||
\(414\) | 5.41636 | − | 0.620923i | 0.266199 | − | 0.0305167i | ||||
\(415\) | 25.3767 | + | 6.03862i | 1.24570 | + | 0.296424i | ||||
\(416\) | 20.2804 | + | 4.42229i | 0.994328 | + | 0.216821i | ||||
\(417\) | 12.1760i | 0.596260i | ||||||||
\(418\) | −2.63739 | − | 23.0061i | −0.128999 | − | 1.12527i | ||||
\(419\) | −1.37589 | − | 1.37589i | −0.0672167 | − | 0.0672167i | 0.672699 | − | 0.739916i | \(-0.265135\pi\) |
−0.739916 | + | 0.672699i | \(0.765135\pi\) | |||||||
\(420\) | 7.96228 | + | 0.0424656i | 0.388519 | + | 0.00207211i | ||||
\(421\) | 6.65671 | − | 6.65671i | 0.324428 | − | 0.324428i | −0.526035 | − | 0.850463i | \(-0.676322\pi\) |
0.850463 | + | 0.526035i | \(0.176322\pi\) | |||||||
\(422\) | 9.45861 | − | 11.9081i | 0.460438 | − | 0.579675i | ||||
\(423\) | −8.52862 | −0.414676 | ||||||||
\(424\) | −0.825987 | + | 1.74104i | −0.0401135 | + | 0.0845522i | ||||
\(425\) | −8.47908 | − | 4.27756i | −0.411296 | − | 0.207492i | ||||
\(426\) | 0.346323 | − | 0.436009i | 0.0167794 | − | 0.0211247i | ||||
\(427\) | 5.93929 | + | 5.93929i | 0.287422 | + | 0.287422i | ||||
\(428\) | 4.07597 | + | 2.53909i | 0.197019 | + | 0.122731i | ||||
\(429\) | 10.7715 | + | 10.7715i | 0.520051 | + | 0.520051i | ||||
\(430\) | 35.8278 | + | 4.30096i | 1.72777 | + | 0.207411i | ||||
\(431\) | 4.08798 | 0.196911 | 0.0984556 | − | 0.995141i | \(-0.468610\pi\) | ||||
0.0984556 | + | 0.995141i | \(0.468610\pi\) | |||||||
\(432\) | 19.3480 | + | 6.60204i | 0.930882 | + | 0.317641i | ||||
\(433\) | − | 29.2913i | − | 1.40765i | −0.710373 | − | 0.703826i | \(-0.751474\pi\) | ||
0.710373 | − | 0.703826i | \(-0.248526\pi\) | |||||||
\(434\) | 1.96562 | + | 17.1462i | 0.0943526 | + | 0.823044i | ||||
\(435\) | 11.5732 | + | 18.8011i | 0.554895 | + | 0.901443i | ||||
\(436\) | −7.46912 | − | 4.65283i | −0.357706 | − | 0.222830i | ||||
\(437\) | 5.81020 | + | 5.81020i | 0.277940 | + | 0.277940i | ||||
\(438\) | −9.63344 | − | 7.65188i | −0.460304 | − | 0.365621i | ||||
\(439\) | − | 26.9790i | − | 1.28764i | −0.765178 | − | 0.643819i | \(-0.777349\pi\) | ||
0.765178 | − | 0.643819i | \(-0.222651\pi\) | |||||||
\(440\) | −2.74565 | − | 25.1345i | −0.130894 | − | 1.19824i | ||||
\(441\) | − | 7.80258i | − | 0.371551i | ||||||
\(442\) | −6.13040 | + | 7.71796i | −0.291594 | + | 0.367106i | ||||
\(443\) | 14.5286 | + | 14.5286i | 0.690276 | + | 0.690276i | 0.962293 | − | 0.272017i | \(-0.0876906\pi\) |
−0.272017 | + | 0.962293i | \(0.587691\pi\) | |||||||
\(444\) | −6.44310 | + | 1.49693i | −0.305776 | + | 0.0710411i | ||||
\(445\) | −22.8164 | + | 14.0449i | −1.08160 | + | 0.665792i | ||||
\(446\) | −12.9603 | + | 1.48575i | −0.613686 | + | 0.0703521i | ||||
\(447\) | 10.7315i | 0.507582i | ||||||||
\(448\) | −10.6235 | + | 8.67619i | −0.501911 | + | 0.409911i | ||||
\(449\) | 23.1572 | 1.09286 | 0.546428 | − | 0.837506i | \(-0.315987\pi\) | ||||
0.546428 | + | 0.837506i | \(0.315987\pi\) | |||||||
\(450\) | −4.69867 | + | 12.7497i | −0.221497 | + | 0.601027i | ||||
\(451\) | 4.51249 | + | 4.51249i | 0.212485 | + | 0.212485i | ||||
\(452\) | 7.16290 | + | 30.8306i | 0.336914 | + | 1.45015i | ||||
\(453\) | −3.35479 | − | 3.35479i | −0.157622 | − | 0.157622i | ||||
\(454\) | −14.4349 | − | 11.4657i | −0.677466 | − | 0.538113i | ||||
\(455\) | 13.6854 | + | 3.25656i | 0.641581 | + | 0.152670i | ||||
\(456\) | 4.03940 | + | 11.3319i | 0.189162 | + | 0.530665i | ||||
\(457\) | −37.7026 | −1.76365 | −0.881827 | − | 0.471572i | \(-0.843687\pi\) | ||||
−0.881827 | + | 0.471572i | \(0.843687\pi\) | |||||||
\(458\) | −2.56542 | − | 2.03772i | −0.119874 | − | 0.0952165i | ||||
\(459\) | −6.86425 | + | 6.86425i | −0.320396 | + | 0.320396i | ||||
\(460\) | 6.31001 | + | 6.37768i | 0.294206 | + | 0.297361i | ||||
\(461\) | 11.3737 | + | 11.3737i | 0.529727 | + | 0.529727i | 0.920491 | − | 0.390764i | \(-0.127789\pi\) |
−0.390764 | + | 0.920491i | \(0.627789\pi\) | |||||||
\(462\) | −10.0006 | + | 1.14645i | −0.465268 | + | 0.0533377i | ||||
\(463\) | 7.94895i | 0.369419i | 0.982793 | + | 0.184710i | \(0.0591344\pi\) | ||||
−0.982793 | + | 0.184710i | \(0.940866\pi\) | |||||||
\(464\) | −35.9936 | − | 12.2820i | −1.67096 | − | 0.570175i | ||||
\(465\) | 16.0788 | + | 3.82609i | 0.745637 | + | 0.177431i | ||||
\(466\) | −1.99399 | − | 17.3937i | −0.0923699 | − | 0.805749i | ||||
\(467\) | 5.34999 | − | 5.34999i | 0.247568 | − | 0.247568i | −0.572404 | − | 0.819972i | \(-0.693989\pi\) |
0.819972 | + | 0.572404i | \(0.193989\pi\) | |||||||
\(468\) | 11.9697 | + | 7.45643i | 0.553301 | + | 0.344674i | ||||
\(469\) | 3.09394 | − | 3.09394i | 0.142865 | − | 0.142865i | ||||
\(470\) | −8.67058 | − | 11.0363i | −0.399944 | − | 0.509067i | ||||
\(471\) | 2.24643i | 0.103510i | ||||||||
\(472\) | 11.1518 | + | 5.29069i | 0.513305 | + | 0.243524i | ||||
\(473\) | −45.6187 | −2.09755 | ||||||||
\(474\) | −12.9446 | − | 10.2820i | −0.594566 | − | 0.472266i | ||||
\(475\) | −19.4515 | + | 6.40656i | −0.892498 | + | 0.293953i | ||||
\(476\) | −1.47394 | − | 6.34414i | −0.0675578 | − | 0.290783i | ||||
\(477\) | −0.925759 | + | 0.925759i | −0.0423876 | + | 0.0423876i | ||||
\(478\) | 1.25222 | + | 10.9232i | 0.0572754 | + | 0.499617i | ||||
\(479\) | −9.58973 | −0.438166 | −0.219083 | − | 0.975706i | \(-0.570307\pi\) | ||||
−0.219083 | + | 0.975706i | \(0.570307\pi\) | |||||||
\(480\) | 4.34442 | + | 12.3962i | 0.198295 | + | 0.565807i | ||||
\(481\) | −11.6865 | −0.532859 | ||||||||
\(482\) | 0.559017 | + | 4.87634i | 0.0254625 | + | 0.222111i | ||||
\(483\) | 2.52564 | − | 2.52564i | 0.114921 | − | 0.114921i | ||||
\(484\) | 2.25490 | + | 9.70556i | 0.102495 | + | 0.441162i | ||||
\(485\) | 12.3877 | − | 7.62543i | 0.562498 | − | 0.346253i | ||||
\(486\) | 17.5052 | + | 13.9044i | 0.794052 | + | 0.630718i | ||||
\(487\) | 36.6487 | 1.66071 | 0.830357 | − | 0.557232i | \(-0.188137\pi\) | ||||
0.830357 | + | 0.557232i | \(0.188137\pi\) | |||||||
\(488\) | −5.93929 | + | 12.5190i | −0.268859 | + | 0.566708i | ||||
\(489\) | − | 14.8857i | − | 0.673154i | ||||||
\(490\) | 10.0968 | − | 7.93246i | 0.456126 | − | 0.358352i | ||||
\(491\) | 23.4273 | − | 23.4273i | 1.05726 | − | 1.05726i | 0.0590019 | − | 0.998258i | \(-0.481208\pi\) |
0.998258 | − | 0.0590019i | \(-0.0187918\pi\) | |||||||
\(492\) | −2.81402 | − | 1.75297i | −0.126866 | − | 0.0790298i | ||||
\(493\) | 12.7697 | − | 12.7697i | 0.575120 | − | 0.575120i | ||||
\(494\) | 2.42073 | + | 21.1162i | 0.108914 | + | 0.950064i | ||||
\(495\) | 3.97659 | − | 16.7113i | 0.178735 | − | 0.751116i | ||||
\(496\) | −25.5549 | + | 12.5519i | −1.14745 | + | 0.563597i | ||||
\(497\) | 0.650063i | 0.0291593i | ||||||||
\(498\) | 17.0206 | − | 1.95122i | 0.762713 | − | 0.0874363i | ||||
\(499\) | −9.50152 | − | 9.50152i | −0.425346 | − | 0.425346i | 0.461693 | − | 0.887040i | \(-0.347242\pi\) |
−0.887040 | + | 0.461693i | \(0.847242\pi\) | |||||||
\(500\) | −21.2754 | + | 6.88170i | −0.951464 | + | 0.307759i | ||||
\(501\) | 1.89424 | − | 1.89424i | 0.0846283 | − | 0.0846283i | ||||
\(502\) | −14.0127 | − | 11.1304i | −0.625419 | − | 0.496772i | ||||
\(503\) | −20.6875 | −0.922411 | −0.461206 | − | 0.887293i | \(-0.652583\pi\) | ||||
−0.461206 | + | 0.887293i | \(0.652583\pi\) | |||||||
\(504\) | −8.77775 | + | 3.12894i | −0.390992 | + | 0.139374i | ||||
\(505\) | 20.6827 | + | 4.92163i | 0.920368 | + | 0.219009i | ||||
\(506\) | −8.88124 | − | 7.05440i | −0.394819 | − | 0.313606i | ||||
\(507\) | −0.340787 | − | 0.340787i | −0.0151349 | − | 0.0151349i | ||||
\(508\) | 8.29351 | + | 35.6970i | 0.367965 | + | 1.58380i | ||||
\(509\) | 11.6381 | + | 11.6381i | 0.515850 | + | 0.515850i | 0.916313 | − | 0.400463i | \(-0.131151\pi\) |
−0.400463 | + | 0.916313i | \(0.631151\pi\) | |||||||
\(510\) | −6.19288 | − | 0.743426i | −0.274225 | − | 0.0329195i | ||||
\(511\) | 14.3629 | 0.635377 | ||||||||
\(512\) | −19.3665 | − | 11.7021i | −0.855887 | − | 0.517163i | ||||
\(513\) | 20.9335i | 0.924235i | ||||||||
\(514\) | −5.08935 | + | 0.583436i | −0.224482 | + | 0.0257343i | ||||
\(515\) | −17.7855 | − | 28.8931i | −0.783724 | − | 1.27318i | ||||
\(516\) | 23.0848 | − | 5.36331i | 1.01625 | − | 0.236106i | ||||
\(517\) | 12.5462 | + | 12.5462i | 0.551780 | + | 0.551780i | ||||
\(518\) | 4.80314 | − | 6.04698i | 0.211038 | − | 0.265689i | ||||
\(519\) | 20.8205i | 0.913921i | ||||||||
\(520\) | 2.52010 | + | 23.0697i | 0.110514 | + | 1.01168i | ||||
\(521\) | − | 5.18654i | − | 0.227227i | −0.993525 | − | 0.113613i | \(-0.963758\pi\) | ||
0.993525 | − | 0.113613i | \(-0.0362425\pi\) | |||||||
\(522\) | −20.2325 | − | 16.0708i | −0.885554 | − | 0.703398i | ||||
\(523\) | 26.9589 | + | 26.9589i | 1.17883 | + | 1.17883i | 0.980043 | + | 0.198788i | \(0.0637004\pi\) |
0.198788 | + | 0.980043i | \(0.436300\pi\) | |||||||
\(524\) | 24.4959 | + | 15.2595i | 1.07011 | + | 0.666616i | ||||
\(525\) | 2.78488 | + | 8.45542i | 0.121542 | + | 0.369025i | ||||
\(526\) | −2.21334 | − | 19.3071i | −0.0965064 | − | 0.841832i | ||||
\(527\) | − | 13.5195i | − | 0.588917i | ||||||
\(528\) | −7.32092 | − | 14.9050i | −0.318602 | − | 0.648655i | ||||
\(529\) | −18.9755 | −0.825020 | ||||||||
\(530\) | −2.13913 | − | 0.256793i | −0.0929179 | − | 0.0111544i | ||||
\(531\) | 5.92976 | + | 5.92976i | 0.257330 | + | 0.257330i | ||||
\(532\) | −11.9211 | − | 7.42617i | −0.516847 | − | 0.321965i | ||||
\(533\) | −4.14180 | − | 4.14180i | −0.179401 | − | 0.179401i | ||||
\(534\) | −10.9446 | + | 13.7789i | −0.473620 | + | 0.596271i | ||||
\(535\) | −1.24288 | + | 5.22311i | −0.0537345 | + | 0.225815i | ||||
\(536\) | 6.52148 | + | 3.09394i | 0.281685 | + | 0.133638i | ||||
\(537\) | −14.5106 | −0.626179 | ||||||||
\(538\) | −5.25243 | + | 6.61262i | −0.226448 | + | 0.285090i | ||||
\(539\) | −11.4781 | + | 11.4781i | −0.494397 | + | 0.494397i | ||||
\(540\) | −0.121899 | + | 22.8561i | −0.00524572 | + | 0.983570i | ||||
\(541\) | 27.4945 | + | 27.4945i | 1.18208 | + | 1.18208i | 0.979204 | + | 0.202878i | \(0.0650294\pi\) |
0.202878 | + | 0.979204i | \(0.434971\pi\) | |||||||
\(542\) | 0.869794 | + | 7.58727i | 0.0373609 | + | 0.325901i | ||||
\(543\) | − | 9.11278i | − | 0.391067i | ||||||
\(544\) | 9.04181 | − | 5.80447i | 0.387664 | − | 0.248865i | ||||
\(545\) | 2.27756 | − | 9.57123i | 0.0975598 | − | 0.409986i | ||||
\(546\) | 9.17903 | − | 1.05227i | 0.392826 | − | 0.0450331i | ||||
\(547\) | −22.5197 | + | 22.5197i | −0.962873 | + | 0.962873i | −0.999335 | − | 0.0364619i | \(-0.988391\pi\) |
0.0364619 | + | 0.999335i | \(0.488391\pi\) | |||||||
\(548\) | 29.1915 | − | 6.78208i | 1.24700 | − | 0.289716i | ||||
\(549\) | −6.65671 | + | 6.65671i | −0.284101 | + | 0.284101i | ||||
\(550\) | 25.6677 | − | 11.8436i | 1.09447 | − | 0.505013i | ||||
\(551\) | − | 38.9431i | − | 1.65903i | ||||||
\(552\) | 5.32361 | + | 2.52564i | 0.226588 | + | 0.107499i | ||||
\(553\) | 19.2996 | 0.820704 | ||||||||
\(554\) | 6.32835 | − | 7.96717i | 0.268866 | − | 0.338493i | ||||
\(555\) | −3.87676 | − | 6.29791i | −0.164559 | − | 0.267331i | ||||
\(556\) | 12.3992 | − | 19.9042i | 0.525842 | − | 0.844127i | ||||
\(557\) | −13.7333 | + | 13.7333i | −0.581897 | + | 0.581897i | −0.935424 | − | 0.353527i | \(-0.884982\pi\) |
0.353527 | + | 0.935424i | \(0.384982\pi\) | |||||||
\(558\) | −19.2173 | + | 2.20305i | −0.813535 | + | 0.0932625i | ||||
\(559\) | 41.8713 | 1.77097 | ||||||||
\(560\) | −12.9728 | − | 8.17765i | −0.548201 | − | 0.345569i | ||||
\(561\) | 7.88525 | 0.332916 | ||||||||
\(562\) | 29.8958 | − | 3.42721i | 1.26108 | − | 0.144568i | ||||
\(563\) | 0.229223 | − | 0.229223i | 0.00966061 | − | 0.00966061i | −0.702260 | − | 0.711921i | \(-0.747826\pi\) |
0.711921 | + | 0.702260i | \(0.247826\pi\) | |||||||
\(564\) | −7.82386 | − | 4.87381i | −0.329444 | − | 0.205224i | ||||
\(565\) | −30.1359 | + | 18.5505i | −1.26783 | + | 0.780427i | ||||
\(566\) | −5.08177 | + | 6.39776i | −0.213603 | + | 0.268918i | ||||
\(567\) | −0.784437 | −0.0329433 | ||||||||
\(568\) | −1.01014 | + | 0.360078i | −0.0423846 | + | 0.0151085i | ||||
\(569\) | − | 23.0376i | − | 0.965787i | −0.875679 | − | 0.482894i | \(-0.839586\pi\) | ||
0.875679 | − | 0.482894i | \(-0.160414\pi\) | |||||||
\(570\) | −10.5766 | + | 8.30942i | −0.443005 | + | 0.348043i | ||||
\(571\) | −11.8610 | + | 11.8610i | −0.496367 | + | 0.496367i | −0.910305 | − | 0.413938i | \(-0.864153\pi\) |
0.413938 | + | 0.910305i | \(0.364153\pi\) | |||||||
\(572\) | −6.63934 | − | 28.5772i | −0.277605 | − | 1.19487i | ||||
\(573\) | 13.8989 | − | 13.8989i | 0.580633 | − | 0.580633i | ||||
\(574\) | 3.84538 | − | 0.440829i | 0.160503 | − | 0.0183998i | ||||
\(575\) | −4.51793 | + | 8.95556i | −0.188411 | + | 0.373473i | ||||
\(576\) | −9.72421 | − | 11.9067i | −0.405175 | − | 0.496112i | ||||
\(577\) | − | 39.7168i | − | 1.65343i | −0.562621 | − | 0.826715i | \(-0.690207\pi\) | ||
0.562621 | − | 0.826715i | \(-0.309793\pi\) | |||||||
\(578\) | −2.15708 | − | 18.8163i | −0.0897226 | − | 0.782657i | ||||
\(579\) | −3.25282 | − | 3.25282i | −0.135183 | − | 0.135183i | ||||
\(580\) | 0.226773 | − | 42.5198i | 0.00941622 | − | 1.76554i | ||||
\(581\) | −14.1429 | + | 14.1429i | −0.586748 | + | 0.586748i | ||||
\(582\) | 5.94218 | − | 7.48100i | 0.246311 | − | 0.310097i | ||||
\(583\) | 2.72371 | 0.112804 | ||||||||
\(584\) | 7.95578 | + | 22.3187i | 0.329213 | + | 0.923553i | ||||
\(585\) | −3.64992 | + | 15.3385i | −0.150906 | + | 0.634168i | ||||
\(586\) | 9.21016 | − | 11.5953i | 0.380468 | − | 0.478996i | ||||
\(587\) | −8.63887 | − | 8.63887i | −0.356564 | − | 0.356564i | 0.505980 | − | 0.862545i | \(-0.331131\pi\) |
−0.862545 | + | 0.505980i | \(0.831131\pi\) | |||||||
\(588\) | 4.45890 | − | 7.15782i | 0.183882 | − | 0.295183i | ||||
\(589\) | −20.6147 | − | 20.6147i | −0.849414 | − | 0.849414i | ||||
\(590\) | −1.64483 | + | 13.7018i | −0.0677167 | + | 0.564092i | ||||
\(591\) | −9.38927 | −0.386223 | ||||||||
\(592\) | 12.0570 | + | 4.11416i | 0.495540 | + | 0.169091i | ||||
\(593\) | 45.8229i | 1.88172i | 0.338795 | + | 0.940860i | \(0.389981\pi\) | ||||
−0.338795 | + | 0.940860i | \(0.610019\pi\) | |||||||
\(594\) | −3.29094 | − | 28.7071i | −0.135029 | − | 1.17787i | ||||
\(595\) | 6.20118 | − | 3.81722i | 0.254224 | − | 0.156491i | ||||
\(596\) | 10.9282 | − | 17.5429i | 0.447637 | − | 0.718586i | ||||
\(597\) | −4.30032 | − | 4.30032i | −0.176000 | − | 0.176000i | ||||
\(598\) | 8.15166 | + | 6.47489i | 0.333346 | + | 0.264778i | ||||
\(599\) | − | 17.0609i | − | 0.697090i | −0.937292 | − | 0.348545i | \(-0.886676\pi\) | ||
0.937292 | − | 0.348545i | \(-0.113324\pi\) | |||||||
\(600\) | −11.5964 | + | 9.01101i | −0.473421 | + | 0.367873i | ||||
\(601\) | − | 38.0363i | − | 1.55153i | −0.631020 | − | 0.775766i | \(-0.717364\pi\) | ||
0.631020 | − | 0.775766i | \(-0.282636\pi\) | |||||||
\(602\) | −17.2090 | + | 21.6656i | −0.701388 | + | 0.883023i | ||||
\(603\) | 3.46766 | + | 3.46766i | 0.141214 | + | 0.141214i | ||||
\(604\) | 2.06783 | + | 8.90040i | 0.0841390 | + | 0.362152i | ||||
\(605\) | −9.48685 | + | 5.83975i | −0.385695 | + | 0.237420i | ||||
\(606\) | 13.8723 | − | 1.59030i | 0.563522 | − | 0.0646013i | ||||
\(607\) | − | 8.67169i | − | 0.351973i | −0.984393 | − | 0.175987i | \(-0.943688\pi\) | ||
0.984393 | − | 0.175987i | \(-0.0563115\pi\) | |||||||
\(608\) | 4.93635 | − | 22.6379i | 0.200196 | − | 0.918087i | ||||
\(609\) | −16.9282 | −0.685965 | ||||||||
\(610\) | −15.3815 | − | 1.84648i | −0.622779 | − | 0.0747617i | ||||
\(611\) | −11.5155 | − | 11.5155i | −0.465868 | − | 0.465868i | ||||
\(612\) | 7.11047 | − | 1.65198i | 0.287424 | − | 0.0667773i | ||||
\(613\) | −13.9739 | − | 13.9739i | −0.564401 | − | 0.564401i | 0.366153 | − | 0.930554i | \(-0.380675\pi\) |
−0.930554 | + | 0.366153i | \(0.880675\pi\) | |||||||
\(614\) | 26.0962 | + | 20.7283i | 1.05316 | + | 0.836526i | ||||
\(615\) | 0.858077 | − | 3.60599i | 0.0346010 | − | 0.145408i | ||||
\(616\) | 17.5155 | + | 8.30976i | 0.705720 | + | 0.334810i | ||||
\(617\) | 37.3904 | 1.50528 | 0.752641 | − | 0.658431i | \(-0.228780\pi\) | ||||
0.752641 | + | 0.658431i | \(0.228780\pi\) | |||||||
\(618\) | −17.4487 | − | 13.8595i | −0.701888 | − | 0.557512i | ||||
\(619\) | −23.2754 | + | 23.2754i | −0.935516 | + | 0.935516i | −0.998043 | − | 0.0625269i | \(-0.980084\pi\) |
0.0625269 | + | 0.998043i | \(0.480084\pi\) | |||||||
\(620\) | −22.3880 | − | 22.6281i | −0.899125 | − | 0.908767i | ||||
\(621\) | 7.24998 | + | 7.24998i | 0.290932 | + | 0.290932i | ||||
\(622\) | 30.7799 | − | 3.52856i | 1.23416 | − | 0.141482i | ||||
\(623\) | − | 20.5435i | − | 0.823058i | ||||||
\(624\) | 6.71952 | + | 13.6806i | 0.268996 | + | 0.547660i | ||||
\(625\) | −14.8564 | − | 20.1069i | −0.594256 | − | 0.804276i | ||||
\(626\) | −2.01046 | − | 17.5374i | −0.0803541 | − | 0.700934i | ||||
\(627\) | 12.0236 | − | 12.0236i | 0.480175 | − | 0.480175i | ||||
\(628\) | 2.28761 | − | 3.67228i | 0.0912857 | − | 0.146540i | ||||
\(629\) | −4.27756 | + | 4.27756i | −0.170557 | + | 0.170557i | ||||
\(630\) | −6.43652 | − | 8.19269i | −0.256437 | − | 0.326404i | ||||
\(631\) | 19.1834i | 0.763680i | 0.924228 | + | 0.381840i | \(0.124710\pi\) | ||||
−0.924228 | + | 0.381840i | \(0.875290\pi\) | |||||||
\(632\) | 10.6903 | + | 29.9900i | 0.425238 | + | 1.19294i | ||||
\(633\) | 11.1667 | 0.443838 | ||||||||
\(634\) | 6.64526 | + | 5.27835i | 0.263917 | + | 0.209630i | ||||
\(635\) | −34.8926 | + | 21.4786i | −1.38467 | + | 0.852352i | ||||
\(636\) | −1.37830 | + | 0.320221i | −0.0546531 | + | 0.0126976i | ||||
\(637\) | 10.5352 | − | 10.5352i | 0.417420 | − | 0.417420i | ||||
\(638\) | 6.12222 | + | 53.4045i | 0.242381 | + | 2.11431i | ||||
\(639\) | −0.728585 | −0.0288224 | ||||||||
\(640\) | 5.52156 | − | 24.6883i | 0.218259 | − | 0.975891i | ||||
\(641\) | −16.1765 | −0.638933 | −0.319466 | − | 0.947598i | \(-0.603504\pi\) | ||||
−0.319466 | + | 0.947598i | \(0.603504\pi\) | |||||||
\(642\) | 0.401605 | + | 3.50323i | 0.0158501 | + | 0.138261i | ||||
\(643\) | −15.0289 | + | 15.0289i | −0.592681 | + | 0.592681i | −0.938355 | − | 0.345674i | \(-0.887650\pi\) |
0.345674 | + | 0.938355i | \(0.387650\pi\) | |||||||
\(644\) | −6.70064 | + | 1.55676i | −0.264042 | + | 0.0613451i | ||||
\(645\) | 13.8899 | + | 22.5646i | 0.546916 | + | 0.888481i | ||||
\(646\) | 8.61512 | + | 6.84302i | 0.338958 | + | 0.269235i | ||||
\(647\) | −49.3812 | −1.94138 | −0.970688 | − | 0.240345i | \(-0.922739\pi\) | ||||
−0.970688 | + | 0.240345i | \(0.922739\pi\) | |||||||
\(648\) | −0.434509 | − | 1.21895i | −0.0170691 | − | 0.0478847i | ||||
\(649\) | − | 17.4461i | − | 0.684821i | ||||||
\(650\) | −23.5591 | + | 10.8707i | −0.924066 | + | 0.426383i | ||||
\(651\) | −8.96103 | + | 8.96103i | −0.351210 | + | 0.351210i | ||||
\(652\) | −15.1586 | + | 24.3338i | −0.593655 | + | 0.952987i | ||||
\(653\) | 19.8685 | − | 19.8685i | 0.777514 | − | 0.777514i | −0.201893 | − | 0.979408i | \(-0.564709\pi\) |
0.979408 | + | 0.201893i | \(0.0647094\pi\) | |||||||
\(654\) | −0.735933 | − | 6.41960i | −0.0287773 | − | 0.251026i | ||||
\(655\) | −7.46954 | + | 31.3901i | −0.291859 | + | 1.22651i | ||||
\(656\) | 2.81501 | + | 5.73120i | 0.109908 | + | 0.223766i | ||||
\(657\) | 16.0978i | 0.628035i | ||||||||
\(658\) | 10.6914 | − | 1.22564i | 0.416793 | − | 0.0477806i | ||||
\(659\) | 4.94765 | + | 4.94765i | 0.192733 | + | 0.192733i | 0.796876 | − | 0.604143i | \(-0.206484\pi\) |
−0.604143 | + | 0.796876i | \(0.706484\pi\) | |||||||
\(660\) | 13.1979 | − | 13.0579i | 0.513727 | − | 0.508277i | ||||
\(661\) | 12.1602 | − | 12.1602i | 0.472977 | − | 0.472977i | −0.429899 | − | 0.902877i | \(-0.641451\pi\) |
0.902877 | + | 0.429899i | \(0.141451\pi\) | |||||||
\(662\) | −1.72860 | − | 1.37303i | −0.0671838 | − | 0.0533643i | ||||
\(663\) | −7.23750 | −0.281081 | ||||||||
\(664\) | −29.8109 | − | 14.1429i | −1.15689 | − | 0.548853i | ||||
\(665\) | 3.63511 | − | 15.2762i | 0.140964 | − | 0.592387i | ||||
\(666\) | 6.77741 | + | 5.38332i | 0.262619 | + | 0.208599i | ||||
\(667\) | −13.4873 | − | 13.4873i | −0.522231 | − | 0.522231i | ||||
\(668\) | −5.02550 | + | 1.16758i | −0.194442 | + | 0.0451749i | ||||
\(669\) | −6.77335 | − | 6.77335i | −0.261873 | − | 0.261873i | ||||
\(670\) | −0.961880 | + | 8.01264i | −0.0371607 | + | 0.309555i | ||||
\(671\) | 19.5849 | 0.756067 | ||||||||
\(672\) | −9.84048 | − | 2.14579i | −0.379605 | − | 0.0827756i | ||||
\(673\) | 32.9882i | 1.27160i | 0.771853 | + | 0.635801i | \(0.219330\pi\) | ||||
−0.771853 | + | 0.635801i | \(0.780670\pi\) | |||||||
\(674\) | 10.5044 | − | 1.20420i | 0.404613 | − | 0.0463842i | ||||
\(675\) | −24.2717 | + | 7.99412i | −0.934217 | + | 0.307694i | ||||
\(676\) | 0.210055 | + | 0.904123i | 0.00807905 | + | 0.0347740i | ||||
\(677\) | −18.4610 | − | 18.4610i | −0.709513 | − | 0.709513i | 0.256920 | − | 0.966433i | \(-0.417292\pi\) |
−0.966433 | + | 0.256920i | \(0.917292\pi\) | |||||||
\(678\) | −14.4557 | + | 18.1992i | −0.555167 | + | 0.698935i | ||||
\(679\) | 11.1537i | 0.428040i | ||||||||
\(680\) | 9.36653 | + | 7.52169i | 0.359190 | + | 0.288444i | ||||
\(681\) | − | 13.5363i | − | 0.518713i | ||||||
\(682\) | 31.5108 | + | 25.0291i | 1.20661 | + | 0.958415i | ||||
\(683\) | 12.2374 | + | 12.2374i | 0.468251 | + | 0.468251i | 0.901347 | − | 0.433097i | \(-0.142579\pi\) |
−0.433097 | + | 0.901347i | \(0.642579\pi\) | |||||||
\(684\) | 8.32320 | − | 13.3611i | 0.318245 | − | 0.510875i | ||||
\(685\) | 17.5643 | + | 28.5337i | 0.671097 | + | 1.09022i | ||||
\(686\) | 3.05440 | + | 26.6437i | 0.116617 | + | 1.01726i | ||||
\(687\) | − | 2.40571i | − | 0.0917837i | ||||||
\(688\) | −43.1987 | − | 14.7405i | −1.64693 | − | 0.561977i | ||||
\(689\) | −2.49996 | −0.0952409 | ||||||||
\(690\) | −0.785202 | + | 6.54088i | −0.0298921 | + | 0.249007i | ||||
\(691\) | −9.46014 | − | 9.46014i | −0.359881 | − | 0.359881i | 0.503888 | − | 0.863769i | \(-0.331902\pi\) |
−0.863769 | + | 0.503888i | \(0.831902\pi\) | |||||||
\(692\) | 21.2022 | − | 34.0356i | 0.805987 | − | 1.29384i | ||||
\(693\) | 9.31352 | + | 9.31352i | 0.353791 | + | 0.353791i | ||||
\(694\) | 10.6491 | − | 13.4068i | 0.404233 | − | 0.508915i | ||||
\(695\) | 25.5061 | + | 6.06939i | 0.967500 | + | 0.230225i | ||||
\(696\) | −9.37674 | − | 26.3049i | −0.355425 | − | 0.997086i | ||||
\(697\) | −3.03201 | −0.114845 | ||||||||
\(698\) | 9.84664 | − | 12.3966i | 0.372701 | − | 0.469217i | ||||
\(699\) | 9.09039 | − | 9.09039i | 0.343830 | − | 0.343830i | ||||
\(700\) | 4.05794 | − | 16.6581i | 0.153376 | − | 0.629617i | ||||
\(701\) | −5.14714 | − | 5.14714i | −0.194405 | − | 0.194405i | 0.603192 | − | 0.797596i | \(-0.293895\pi\) |
−0.797596 | + | 0.603192i | \(0.793895\pi\) | |||||||
\(702\) | 3.02060 | + | 26.3489i | 0.114005 | + | 0.994474i | ||||
\(703\) | 13.0450i | 0.492001i | ||||||||
\(704\) | −3.21058 | + | 31.8205i | −0.121003 | + | 1.19928i | ||||
\(705\) | 2.38573 | − | 10.0258i | 0.0898517 | − | 0.377594i | ||||
\(706\) | 13.5909 | − | 1.55804i | 0.511499 | − | 0.0586375i | ||||
\(707\) | −11.5269 | + | 11.5269i | −0.433512 | + | 0.433512i | ||||
\(708\) | 2.05111 | + | 8.82840i | 0.0770853 | + | 0.331792i | ||||
\(709\) | −18.0125 | + | 18.0125i | −0.676472 | + | 0.676472i | −0.959200 | − | 0.282728i | \(-0.908761\pi\) |
0.282728 | + | 0.959200i | \(0.408761\pi\) | |||||||
\(710\) | −0.740713 | − | 0.942812i | −0.0277985 | − | 0.0353831i | ||||
\(711\) | 21.6309i | 0.811222i | ||||||||
\(712\) | 31.9228 | − | 11.3793i | 1.19636 | − | 0.426457i | ||||
\(713\) | −14.2792 | −0.534759 | ||||||||
\(714\) | 2.97460 | − | 3.74492i | 0.111322 | − | 0.140150i | ||||
\(715\) | 27.9332 | − | 17.1946i | 1.04464 | − | 0.643043i | ||||
\(716\) | 23.7207 | + | 14.7766i | 0.886485 | + | 0.552228i | ||||
\(717\) | −5.70875 | + | 5.70875i | −0.213197 | + | 0.213197i | ||||
\(718\) | 24.0069 | − | 2.75212i | 0.895931 | − | 0.102708i | ||||
\(719\) | 34.5017 | 1.28669 | 0.643347 | − | 0.765574i | \(-0.277545\pi\) | ||||
0.643347 | + | 0.765574i | \(0.277545\pi\) | |||||||
\(720\) | 9.16545 | − | 14.5398i | 0.341576 | − | 0.541867i | ||||
\(721\) | 26.0149 | 0.968846 | ||||||||
\(722\) | −3.12437 | + | 0.358173i | −0.116277 | + | 0.0133298i | ||||
\(723\) | −2.54850 | + | 2.54850i | −0.0947796 | + | 0.0947796i | ||||
\(724\) | −9.27983 | + | 14.8968i | −0.344882 | + | 0.553635i | ||||
\(725\) | 45.1532 | − | 14.8717i | 1.67695 | − | 0.552320i | ||||
\(726\) | −4.55068 | + | 5.72915i | −0.168892 | + | 0.212629i | ||||
\(727\) | 12.8421 | 0.476288 | 0.238144 | − | 0.971230i | \(-0.423461\pi\) | ||||
0.238144 | + | 0.971230i | \(0.423461\pi\) | |||||||
\(728\) | −16.0767 | − | 7.62713i | −0.595841 | − | 0.282680i | ||||
\(729\) | 15.0429i | 0.557143i | ||||||||
\(730\) | −20.8311 | + | 16.3658i | −0.770992 | + | 0.605724i | ||||
\(731\) | 15.3259 | − | 15.3259i | 0.566851 | − | 0.566851i | ||||
\(732\) | −9.91071 | + | 2.30256i | −0.366310 | + | 0.0851050i | ||||
\(733\) | 24.1490 | − | 24.1490i | 0.891965 | − | 0.891965i | −0.102743 | − | 0.994708i | \(-0.532762\pi\) |
0.994708 | + | 0.102743i | \(0.0327618\pi\) | |||||||
\(734\) | 18.8974 | − | 2.16638i | 0.697517 | − | 0.0799624i | ||||
\(735\) | 9.17231 | + | 2.18263i | 0.338326 | + | 0.0805075i | ||||
\(736\) | −6.13065 | − | 9.54990i | −0.225979 | − | 0.352014i | ||||
\(737\) | − | 10.2023i | − | 0.375807i | ||||||
\(738\) | 0.494077 | + | 4.30987i | 0.0181872 | + | 0.158648i | ||||
\(739\) | 35.9398 | + | 35.9398i | 1.32207 | + | 1.32207i | 0.912101 | + | 0.409966i | \(0.134460\pi\) |
0.409966 | + | 0.912101i | \(0.365540\pi\) | |||||||
\(740\) | −0.0759634 | + | 14.2431i | −0.00279247 | + | 0.523587i | ||||
\(741\) | −11.0359 | + | 11.0359i | −0.405412 | + | 0.405412i | ||||
\(742\) | 1.02748 | − | 1.29356i | 0.0377200 | − | 0.0474881i | ||||
\(743\) | −45.9502 | −1.68575 | −0.842875 | − | 0.538109i | \(-0.819139\pi\) | ||||
−0.842875 | + | 0.538109i | \(0.819139\pi\) | |||||||
\(744\) | −18.8883 | − | 8.96103i | −0.692478 | − | 0.328527i | ||||
\(745\) | 22.4802 | + | 5.34935i | 0.823610 | + | 0.195985i | ||||
\(746\) | −14.9610 | + | 18.8354i | −0.547762 | + | 0.689613i | ||||
\(747\) | −15.8513 | − | 15.8513i | −0.579969 | − | 0.579969i | ||||
\(748\) | −12.8901 | − | 8.02980i | −0.471310 | − | 0.293598i | ||||
\(749\) | −2.91094 | − | 2.91094i | −0.106363 | − | 0.106363i | ||||
\(750\) | −13.6735 | − | 9.09001i | −0.499287 | − | 0.331920i | ||||
\(751\) | −24.4820 | −0.893361 | −0.446680 | − | 0.894694i | \(-0.647394\pi\) | ||||
−0.446680 | + | 0.894694i | \(0.647394\pi\) | |||||||
\(752\) | 7.82663 | + | 15.9346i | 0.285408 | + | 0.581074i | ||||
\(753\) | − | 13.1404i | − | 0.478863i | ||||||
\(754\) | −5.61929 | − | 49.0175i | −0.204643 | − | 1.78511i | ||||
\(755\) | −8.69983 | + | 5.35529i | −0.316619 | + | 0.194899i | ||||
\(756\) | −14.8752 | − | 9.26639i | −0.541007 | − | 0.337015i | ||||
\(757\) | 17.0328 | + | 17.0328i | 0.619067 | + | 0.619067i | 0.945292 | − | 0.326225i | \(-0.105777\pi\) |
−0.326225 | + | 0.945292i | \(0.605777\pi\) | |||||||
\(758\) | −29.9986 | − | 23.8280i | −1.08960 | − | 0.865471i | ||||
\(759\) | − | 8.32835i | − | 0.302300i | ||||||
\(760\) | 25.7515 | − | 2.81305i | 0.934104 | − | 0.102040i | ||||
\(761\) | 8.53590i | 0.309426i | 0.987959 | + | 0.154713i | \(0.0494453\pi\) | ||||
−0.987959 | + | 0.154713i | \(0.950555\pi\) | |||||||
\(762\) | −16.7374 | + | 21.0718i | −0.606332 | + | 0.763350i | ||||
\(763\) | 5.33423 | + | 5.33423i | 0.193112 | + | 0.193112i | ||||
\(764\) | −36.8743 | + | 8.56702i | −1.33407 | + | 0.309944i | ||||
\(765\) | 4.27831 | + | 6.95024i | 0.154683 | + | 0.251286i | ||||
\(766\) | −24.9394 | + | 2.85902i | −0.901099 | + | 0.103301i | ||||
\(767\) | 16.0130i | 0.578195i | ||||||||
\(768\) | −2.11640 | − | 16.4798i | −0.0763689 | − | 0.594664i |