Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [44,2,Mod(7,44)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(44, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("44.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 44 = 2^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 44.g (of order \(10\), 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: | \(0.351341768894\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5 x^{15} + 13 x^{14} - 25 x^{13} + 35 x^{12} - 30 x^{11} - 2 x^{10} + 60 x^{9} - 116 x^{8} + 120 x^{7} - 8 x^{6} - 240 x^{5} + 560 x^{4} - 800 x^{3} + 832 x^{2} - 640 x + 256 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 39.1 | ||
Root | \(1.40874 - 0.124276i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 44.39 |
Dual form | 44.2.g.a.35.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/44\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40874 | − | 0.124276i | −0.996131 | − | 0.0878764i | ||||
\(3\) | −1.59814 | + | 2.19965i | −0.922686 | + | 1.26997i | 0.0399594 | + | 0.999201i | \(0.487277\pi\) |
−0.962645 | + | 0.270767i | \(0.912723\pi\) | |||||||
\(4\) | 1.96911 | + | 0.350146i | 0.984555 | + | 0.175073i | ||||
\(5\) | −0.720859 | + | 2.21858i | −0.322378 | + | 0.992177i | 0.650232 | + | 0.759735i | \(0.274672\pi\) |
−0.972610 | + | 0.232442i | \(0.925328\pi\) | |||||||
\(6\) | 2.52473 | − | 2.90013i | 1.03072 | − | 1.18397i | ||||
\(7\) | 1.04462 | − | 0.758960i | 0.394829 | − | 0.286860i | −0.372602 | − | 0.927991i | \(-0.621534\pi\) |
0.767431 | + | 0.641131i | \(0.221534\pi\) | |||||||
\(8\) | −2.73046 | − | 0.737979i | −0.965362 | − | 0.260915i | ||||
\(9\) | −1.35736 | − | 4.17752i | −0.452453 | − | 1.39251i | ||||
\(10\) | 1.29122 | − | 3.03582i | 0.408320 | − | 0.960010i | ||||
\(11\) | 3.29387 | − | 0.387833i | 0.993139 | − | 0.116936i | ||||
\(12\) | −3.91711 | + | 3.77177i | −1.13077 | + | 1.08882i | ||||
\(13\) | −0.279141 | + | 0.0906984i | −0.0774198 | + | 0.0251552i | −0.347471 | − | 0.937691i | \(-0.612959\pi\) |
0.270051 | + | 0.962846i | \(0.412959\pi\) | |||||||
\(14\) | −1.56592 | + | 0.939359i | −0.418510 | + | 0.251054i | ||||
\(15\) | −3.72806 | − | 5.13123i | −0.962580 | − | 1.32488i | ||||
\(16\) | 3.75480 | + | 1.37895i | 0.938699 | + | 0.344738i | ||||
\(17\) | 2.82281 | + | 0.917186i | 0.684631 | + | 0.222450i | 0.630622 | − | 0.776090i | \(-0.282800\pi\) |
0.0540095 | + | 0.998540i | \(0.482800\pi\) | |||||||
\(18\) | 1.39300 | + | 6.05373i | 0.328334 | + | 1.42688i | ||||
\(19\) | 1.38671 | + | 1.00751i | 0.318134 | + | 0.231138i | 0.735379 | − | 0.677656i | \(-0.237004\pi\) |
−0.417245 | + | 0.908794i | \(0.637004\pi\) | |||||||
\(20\) | −2.19628 | + | 4.11622i | −0.491102 | + | 0.920414i | ||||
\(21\) | 3.51072i | 0.766102i | ||||||||
\(22\) | −4.68841 | + | 0.137007i | −0.999573 | + | 0.0292101i | ||||
\(23\) | − | 0.525735i | − | 0.109623i | −0.998497 | − | 0.0548117i | \(-0.982544\pi\) | ||
0.998497 | − | 0.0548117i | \(-0.0174559\pi\) | |||||||
\(24\) | 5.98694 | − | 4.82665i | 1.22208 | − | 0.985236i | ||||
\(25\) | −0.357358 | − | 0.259635i | −0.0714715 | − | 0.0519271i | ||||
\(26\) | 0.404509 | − | 0.0930801i | 0.0793308 | − | 0.0182545i | ||||
\(27\) | 3.60079 | + | 1.16997i | 0.692972 | + | 0.225160i | ||||
\(28\) | 2.32272 | − | 1.12871i | 0.438953 | − | 0.213306i | ||||
\(29\) | −4.84416 | − | 6.66742i | −0.899538 | − | 1.23811i | −0.970615 | − | 0.240637i | \(-0.922644\pi\) |
0.0710771 | − | 0.997471i | \(-0.477356\pi\) | |||||||
\(30\) | 4.61418 | + | 7.69189i | 0.842431 | + | 1.40434i | ||||
\(31\) | −4.22806 | + | 1.37378i | −0.759382 | + | 0.246738i | −0.663013 | − | 0.748608i | \(-0.730723\pi\) |
−0.0963686 | + | 0.995346i | \(0.530723\pi\) | |||||||
\(32\) | −5.11817 | − | 2.40922i | −0.904773 | − | 0.425894i | ||||
\(33\) | −4.41097 | + | 7.86517i | −0.767851 | + | 1.36915i | ||||
\(34\) | −3.86263 | − | 1.64289i | −0.662435 | − | 0.281753i | ||||
\(35\) | 0.930788 | + | 2.86467i | 0.157332 | + | 0.484218i | ||||
\(36\) | −1.21005 | − | 8.70127i | −0.201675 | − | 1.45021i | ||||
\(37\) | 4.22613 | − | 3.07046i | 0.694771 | − | 0.504781i | −0.183454 | − | 0.983028i | \(-0.558728\pi\) |
0.878225 | + | 0.478248i | \(0.158728\pi\) | |||||||
\(38\) | −1.82831 | − | 1.59165i | −0.296591 | − | 0.258200i | ||||
\(39\) | 0.246601 | − | 0.758960i | 0.0394878 | − | 0.121531i | ||||
\(40\) | 3.60554 | − | 5.52575i | 0.570085 | − | 0.873697i | ||||
\(41\) | 3.28821 | − | 4.52583i | 0.513531 | − | 0.706815i | −0.470978 | − | 0.882145i | \(-0.656099\pi\) |
0.984510 | + | 0.175329i | \(0.0560990\pi\) | |||||||
\(42\) | 0.436298 | − | 4.94570i | 0.0673223 | − | 0.763138i | ||||
\(43\) | −3.49429 | −0.532874 | −0.266437 | − | 0.963852i | \(-0.585846\pi\) | ||||
−0.266437 | + | 0.963852i | \(0.585846\pi\) | |||||||
\(44\) | 6.62180 | + | 0.389649i | 0.998273 | + | 0.0587419i | ||||
\(45\) | 10.2466 | 1.52747 | ||||||||
\(46\) | −0.0653363 | + | 0.740626i | −0.00963331 | + | 0.109199i | ||||
\(47\) | 4.50223 | − | 6.19679i | 0.656718 | − | 0.903895i | −0.342649 | − | 0.939463i | \(-0.611324\pi\) |
0.999367 | + | 0.0355685i | \(0.0113242\pi\) | |||||||
\(48\) | −9.03389 | + | 6.05548i | −1.30393 | + | 0.874033i | ||||
\(49\) | −1.64791 | + | 5.07175i | −0.235416 | + | 0.724535i | ||||
\(50\) | 0.471158 | + | 0.410170i | 0.0666318 | + | 0.0580069i | ||||
\(51\) | −6.52872 | + | 4.74340i | −0.914204 | + | 0.664208i | ||||
\(52\) | −0.581417 | + | 0.0808551i | −0.0806280 | + | 0.0112126i | ||||
\(53\) | 0.484791 | + | 1.49203i | 0.0665912 | + | 0.204947i | 0.978815 | − | 0.204745i | \(-0.0656364\pi\) |
−0.912224 | + | 0.409691i | \(0.865636\pi\) | |||||||
\(54\) | −4.92719 | − | 2.09567i | −0.670505 | − | 0.285185i | ||||
\(55\) | −1.51398 | + | 7.58728i | −0.204145 | + | 1.02307i | ||||
\(56\) | −3.41238 | + | 1.30140i | −0.455999 | + | 0.173907i | ||||
\(57\) | −4.43232 | + | 1.44015i | −0.587075 | + | 0.190752i | ||||
\(58\) | 5.99558 | + | 9.99468i | 0.787258 | + | 1.31237i | ||||
\(59\) | 8.27247 | + | 11.3861i | 1.07698 | + | 1.48234i | 0.862799 | + | 0.505548i | \(0.168710\pi\) |
0.214185 | + | 0.976793i | \(0.431290\pi\) | |||||||
\(60\) | −5.54428 | − | 11.4093i | −0.715763 | − | 1.47294i | ||||
\(61\) | −8.98451 | − | 2.91924i | −1.15035 | − | 0.373771i | −0.329074 | − | 0.944304i | \(-0.606737\pi\) |
−0.821274 | + | 0.570533i | \(0.806737\pi\) | |||||||
\(62\) | 6.12698 | − | 1.40986i | 0.778127 | − | 0.179052i | ||||
\(63\) | −4.58849 | − | 3.33373i | −0.578096 | − | 0.420011i | ||||
\(64\) | 6.91078 | + | 4.03004i | 0.863847 | + | 0.503754i | ||||
\(65\) | − | 0.684676i | − | 0.0849236i | ||||||
\(66\) | 7.19137 | − | 10.5318i | 0.885196 | − | 1.29638i | ||||
\(67\) | − | 10.4249i | − | 1.27361i | −0.771026 | − | 0.636803i | \(-0.780256\pi\) | ||
0.771026 | − | 0.636803i | \(-0.219744\pi\) | |||||||
\(68\) | 5.23727 | + | 2.79444i | 0.635113 | + | 0.338875i | ||||
\(69\) | 1.15643 | + | 0.840198i | 0.139218 | + | 0.101148i | ||||
\(70\) | −0.955231 | − | 4.15126i | −0.114172 | − | 0.496170i | ||||
\(71\) | −3.41904 | − | 1.11091i | −0.405765 | − | 0.131841i | 0.0990215 | − | 0.995085i | \(-0.468429\pi\) |
−0.504786 | + | 0.863244i | \(0.668429\pi\) | |||||||
\(72\) | 0.623286 | + | 12.4082i | 0.0734550 | + | 1.46232i | ||||
\(73\) | 2.51668 | + | 3.46391i | 0.294555 | + | 0.405420i | 0.930487 | − | 0.366325i | \(-0.119384\pi\) |
−0.635932 | + | 0.771745i | \(0.719384\pi\) | |||||||
\(74\) | −6.33511 | + | 3.80028i | −0.736441 | + | 0.441774i | ||||
\(75\) | 1.14221 | − | 0.371128i | 0.131891 | − | 0.0428541i | ||||
\(76\) | 2.37782 | + | 2.46944i | 0.272754 | + | 0.283265i | ||||
\(77\) | 3.14649 | − | 2.90506i | 0.358576 | − | 0.331062i | ||||
\(78\) | −0.441718 | + | 1.03853i | −0.0500147 | + | 0.117591i | ||||
\(79\) | −3.04387 | − | 9.36807i | −0.342462 | − | 1.05399i | −0.962929 | − | 0.269757i | \(-0.913057\pi\) |
0.620467 | − | 0.784233i | \(-0.286943\pi\) | |||||||
\(80\) | −5.76599 | + | 7.33627i | −0.644657 | + | 0.820220i | ||||
\(81\) | 2.33275 | − | 1.69484i | 0.259194 | − | 0.188316i | ||||
\(82\) | −5.19469 | + | 5.96708i | −0.573657 | + | 0.658954i | ||||
\(83\) | 1.16185 | − | 3.57581i | 0.127530 | − | 0.392496i | −0.866824 | − | 0.498615i | \(-0.833842\pi\) |
0.994354 | + | 0.106118i | \(0.0338423\pi\) | |||||||
\(84\) | −1.22926 | + | 6.91300i | −0.134124 | + | 0.754270i | ||||
\(85\) | −4.06969 | + | 5.60145i | −0.441420 | + | 0.607563i | ||||
\(86\) | 4.92256 | + | 0.434257i | 0.530813 | + | 0.0468271i | ||||
\(87\) | 22.4076 | 2.40235 | ||||||||
\(88\) | −9.27998 | − | 1.37185i | −0.989249 | − | 0.146239i | ||||
\(89\) | 0.598152 | 0.0634039 | 0.0317020 | − | 0.999497i | \(-0.489907\pi\) | ||||
0.0317020 | + | 0.999497i | \(0.489907\pi\) | |||||||
\(90\) | −14.4348 | − | 1.27341i | −1.52156 | − | 0.134229i | ||||
\(91\) | −0.222760 | + | 0.306602i | −0.0233515 | + | 0.0321406i | ||||
\(92\) | 0.184084 | − | 1.03523i | 0.0191921 | − | 0.107930i | ||||
\(93\) | 3.73519 | − | 11.4957i | 0.387321 | − | 1.19205i | ||||
\(94\) | −7.11260 | + | 8.17016i | −0.733609 | + | 0.842688i | ||||
\(95\) | −3.23485 | + | 2.35026i | −0.331889 | + | 0.241131i | ||||
\(96\) | 13.4790 | − | 7.40791i | 1.37569 | − | 0.756067i | ||||
\(97\) | −2.57295 | − | 7.91872i | −0.261243 | − | 0.804024i | −0.992535 | − | 0.121960i | \(-0.961082\pi\) |
0.731292 | − | 0.682065i | \(-0.238918\pi\) | |||||||
\(98\) | 2.95178 | − | 6.93999i | 0.298175 | − | 0.701045i | ||||
\(99\) | −6.09114 | − | 13.2338i | −0.612182 | − | 1.33004i | ||||
\(100\) | −0.612766 | − | 0.636378i | −0.0612766 | − | 0.0636378i | ||||
\(101\) | −7.30672 | + | 2.37410i | −0.727046 | + | 0.236232i | −0.649075 | − | 0.760724i | \(-0.724844\pi\) |
−0.0779707 | + | 0.996956i | \(0.524844\pi\) | |||||||
\(102\) | 9.78678 | − | 5.87086i | 0.969036 | − | 0.581302i | ||||
\(103\) | −0.242398 | − | 0.333632i | −0.0238841 | − | 0.0328737i | 0.796908 | − | 0.604101i | \(-0.206468\pi\) |
−0.820792 | + | 0.571227i | \(0.806468\pi\) | |||||||
\(104\) | 0.829115 | − | 0.0416479i | 0.0813014 | − | 0.00408391i | ||||
\(105\) | −7.78880 | − | 2.53073i | −0.760109 | − | 0.246974i | ||||
\(106\) | −0.497522 | − | 2.16214i | −0.0483236 | − | 0.210006i | ||||
\(107\) | −4.18738 | − | 3.04231i | −0.404809 | − | 0.294111i | 0.366688 | − | 0.930344i | \(-0.380492\pi\) |
−0.771497 | + | 0.636233i | \(0.780492\pi\) | |||||||
\(108\) | 6.68069 | + | 3.56460i | 0.642850 | + | 0.343003i | ||||
\(109\) | 12.5948i | 1.20636i | 0.797604 | + | 0.603181i | \(0.206101\pi\) | ||||
−0.797604 | + | 0.603181i | \(0.793899\pi\) | |||||||
\(110\) | 3.07572 | − | 10.5004i | 0.293259 | − | 1.00117i | ||||
\(111\) | 14.2030i | 1.34809i | ||||||||
\(112\) | 4.96890 | − | 1.40926i | 0.469517 | − | 0.133163i | ||||
\(113\) | 2.15258 | + | 1.56394i | 0.202498 | + | 0.147123i | 0.684413 | − | 0.729095i | \(-0.260059\pi\) |
−0.481915 | + | 0.876218i | \(0.660059\pi\) | |||||||
\(114\) | 6.42297 | − | 1.47797i | 0.601566 | − | 0.138424i | ||||
\(115\) | 1.16638 | + | 0.378981i | 0.108766 | + | 0.0353402i | ||||
\(116\) | −7.20412 | − | 14.8250i | −0.668886 | − | 1.37647i | ||||
\(117\) | 0.757788 | + | 1.04301i | 0.0700575 | + | 0.0964259i | ||||
\(118\) | −10.2388 | − | 17.0681i | −0.942554 | − | 1.57125i | ||||
\(119\) | 3.64487 | − | 1.18429i | 0.334124 | − | 0.108564i | ||||
\(120\) | 6.39255 | + | 16.7618i | 0.583558 | + | 1.53014i | ||||
\(121\) | 10.6992 | − | 2.55494i | 0.972652 | − | 0.232267i | ||||
\(122\) | 12.2941 | + | 5.22902i | 1.11305 | + | 0.473413i | ||||
\(123\) | 4.70022 | + | 14.4658i | 0.423805 | + | 1.30434i | ||||
\(124\) | −8.80654 | + | 1.22469i | −0.790851 | + | 0.109980i | ||||
\(125\) | −8.60254 | + | 6.25011i | −0.769435 | + | 0.559027i | ||||
\(126\) | 6.04970 | + | 5.26661i | 0.538950 | + | 0.469187i | ||||
\(127\) | −6.16979 | + | 18.9887i | −0.547481 | + | 1.68497i | 0.167537 | + | 0.985866i | \(0.446419\pi\) |
−0.715018 | + | 0.699107i | \(0.753581\pi\) | |||||||
\(128\) | −9.23467 | − | 6.53613i | −0.816237 | − | 0.577717i | ||||
\(129\) | 5.58436 | − | 7.68621i | 0.491676 | − | 0.676733i | ||||
\(130\) | −0.0850888 | + | 0.964532i | −0.00746278 | + | 0.0845951i | ||||
\(131\) | −20.5136 | −1.79228 | −0.896139 | − | 0.443773i | \(-0.853640\pi\) | ||||
−0.896139 | + | 0.443773i | \(0.853640\pi\) | |||||||
\(132\) | −11.4396 | + | 13.9429i | −0.995693 | + | 1.21357i | ||||
\(133\) | 2.21324 | 0.191913 | ||||||||
\(134\) | −1.29557 | + | 14.6860i | −0.111920 | + | 1.26868i | ||||
\(135\) | −5.19132 | + | 7.14524i | −0.446798 | + | 0.614965i | ||||
\(136\) | −7.03069 | − | 4.58751i | −0.602876 | − | 0.393375i | ||||
\(137\) | −1.93612 | + | 5.95875i | −0.165414 | + | 0.509091i | −0.999067 | − | 0.0431981i | \(-0.986245\pi\) |
0.833653 | + | 0.552289i | \(0.186245\pi\) | |||||||
\(138\) | −1.52470 | − | 1.32734i | −0.129791 | − | 0.112991i | ||||
\(139\) | 10.9058 | − | 7.92352i | 0.925017 | − | 0.672064i | −0.0197506 | − | 0.999805i | \(-0.506287\pi\) |
0.944768 | + | 0.327741i | \(0.106287\pi\) | |||||||
\(140\) | 0.829772 | + | 5.96677i | 0.0701286 | + | 0.504284i | ||||
\(141\) | 6.43557 | + | 19.8067i | 0.541973 | + | 1.66802i | ||||
\(142\) | 4.67848 | + | 1.98989i | 0.392609 | + | 0.166988i | ||||
\(143\) | −0.884278 | + | 0.407009i | −0.0739471 | + | 0.0340358i | ||||
\(144\) | 0.663995 | − | 17.5575i | 0.0553329 | − | 1.46312i | ||||
\(145\) | 18.2841 | − | 5.94087i | 1.51841 | − | 0.493363i | ||||
\(146\) | −3.11487 | − | 5.19252i | −0.257789 | − | 0.429736i | ||||
\(147\) | −8.52247 | − | 11.7302i | −0.702922 | − | 0.967489i | ||||
\(148\) | 9.39682 | − | 4.56632i | 0.772414 | − | 0.375349i | ||||
\(149\) | 16.5960 | + | 5.39238i | 1.35960 | + | 0.441761i | 0.895910 | − | 0.444237i | \(-0.146525\pi\) |
0.463690 | + | 0.885997i | \(0.346525\pi\) | |||||||
\(150\) | −1.65521 | + | 0.380874i | −0.135147 | + | 0.0310982i | ||||
\(151\) | 7.94818 | + | 5.77469i | 0.646814 | + | 0.469938i | 0.862184 | − | 0.506595i | \(-0.169096\pi\) |
−0.215370 | + | 0.976532i | \(0.569096\pi\) | |||||||
\(152\) | −3.04284 | − | 3.77431i | −0.246807 | − | 0.306137i | ||||
\(153\) | − | 13.0373i | − | 1.05400i | ||||||
\(154\) | −4.79363 | + | 3.70144i | −0.386281 | + | 0.298271i | ||||
\(155\) | − | 10.3706i | − | 0.832985i | ||||||
\(156\) | 0.751332 | − | 1.40813i | 0.0601547 | − | 0.112741i | ||||
\(157\) | −12.4622 | − | 9.05431i | −0.994591 | − | 0.722613i | −0.0336696 | − | 0.999433i | \(-0.510719\pi\) |
−0.960922 | + | 0.276820i | \(0.910719\pi\) | |||||||
\(158\) | 3.12380 | + | 13.5755i | 0.248516 | + | 1.08001i | ||||
\(159\) | −4.05671 | − | 1.31811i | −0.321718 | − | 0.104533i | ||||
\(160\) | 9.03452 | − | 9.61834i | 0.714241 | − | 0.760397i | ||||
\(161\) | −0.399012 | − | 0.549193i | −0.0314466 | − | 0.0432825i | ||||
\(162\) | −3.49687 | + | 2.09769i | −0.274740 | + | 0.164810i | ||||
\(163\) | 10.2403 | − | 3.32727i | 0.802080 | − | 0.260612i | 0.120840 | − | 0.992672i | \(-0.461441\pi\) |
0.681240 | + | 0.732060i | \(0.261441\pi\) | |||||||
\(164\) | 8.05954 | − | 7.76050i | 0.629344 | − | 0.605994i | ||||
\(165\) | −14.2698 | − | 15.4557i | −1.11090 | − | 1.20323i | ||||
\(166\) | −2.08114 | + | 4.89301i | −0.161528 | + | 0.379771i | ||||
\(167\) | 1.98451 | + | 6.10771i | 0.153566 | + | 0.472629i | 0.998013 | − | 0.0630114i | \(-0.0200704\pi\) |
−0.844446 | + | 0.535640i | \(0.820070\pi\) | |||||||
\(168\) | 2.59084 | − | 9.58586i | 0.199887 | − | 0.739566i | ||||
\(169\) | −10.4475 | + | 7.59057i | −0.803656 | + | 0.583890i | ||||
\(170\) | 6.42928 | − | 7.38524i | 0.493103 | − | 0.566422i | ||||
\(171\) | 2.32661 | − | 7.16056i | 0.177920 | − | 0.547582i | ||||
\(172\) | −6.88065 | − | 1.22351i | −0.524644 | − | 0.0932919i | ||||
\(173\) | −2.12650 | + | 2.92688i | −0.161675 | + | 0.222527i | −0.882167 | − | 0.470937i | \(-0.843916\pi\) |
0.720492 | + | 0.693463i | \(0.243916\pi\) | |||||||
\(174\) | −31.5666 | − | 2.78473i | −2.39305 | − | 0.211110i | ||||
\(175\) | −0.570356 | −0.0431148 | ||||||||
\(176\) | 12.9026 | + | 3.08586i | 0.972571 | + | 0.232605i | ||||
\(177\) | −38.2659 | −2.87624 | ||||||||
\(178\) | −0.842641 | − | 0.0743359i | −0.0631586 | − | 0.00557171i | ||||
\(179\) | −2.94347 | + | 4.05134i | −0.220006 | + | 0.302812i | −0.904726 | − | 0.425994i | \(-0.859924\pi\) |
0.684720 | + | 0.728806i | \(0.259924\pi\) | |||||||
\(180\) | 20.1767 | + | 3.58781i | 1.50388 | + | 0.267419i | ||||
\(181\) | 3.02897 | − | 9.32220i | 0.225141 | − | 0.692914i | −0.773136 | − | 0.634240i | \(-0.781313\pi\) |
0.998277 | − | 0.0586734i | \(-0.0186871\pi\) | |||||||
\(182\) | 0.351914 | − | 0.404240i | 0.0260856 | − | 0.0299643i | ||||
\(183\) | 20.7798 | − | 15.0974i | 1.53609 | − | 1.11603i | ||||
\(184\) | −0.387982 | + | 1.43550i | −0.0286024 | + | 0.105826i | ||||
\(185\) | 3.76561 | + | 11.5894i | 0.276853 | + | 0.852066i | ||||
\(186\) | −6.69057 | + | 15.7303i | −0.490576 | + | 1.15340i | ||||
\(187\) | 9.65368 | + | 1.92631i | 0.705947 | + | 0.140866i | ||||
\(188\) | 11.0352 | − | 10.6257i | 0.804823 | − | 0.774961i | ||||
\(189\) | 4.64941 | − | 1.51069i | 0.338195 | − | 0.109886i | ||||
\(190\) | 4.84916 | − | 2.90889i | 0.351795 | − | 0.211033i | ||||
\(191\) | −6.87102 | − | 9.45715i | −0.497170 | − | 0.684295i | 0.484521 | − | 0.874780i | \(-0.338994\pi\) |
−0.981690 | + | 0.190485i | \(0.938994\pi\) | |||||||
\(192\) | −19.9090 | + | 8.76072i | −1.43681 | + | 0.632251i | ||||
\(193\) | −1.09807 | − | 0.356784i | −0.0790406 | − | 0.0256818i | 0.269230 | − | 0.963076i | \(-0.413231\pi\) |
−0.348270 | + | 0.937394i | \(0.613231\pi\) | |||||||
\(194\) | 2.64052 | + | 11.4752i | 0.189578 | + | 0.823871i | ||||
\(195\) | 1.50605 | + | 1.09421i | 0.107850 | + | 0.0783578i | ||||
\(196\) | −5.02077 | + | 9.40982i | −0.358626 | + | 0.672130i | ||||
\(197\) | − | 15.6248i | − | 1.11322i | −0.830774 | − | 0.556610i | \(-0.812102\pi\) | ||
0.830774 | − | 0.556610i | \(-0.187898\pi\) | |||||||
\(198\) | 6.93621 | + | 19.4000i | 0.492935 | + | 1.37870i | ||||
\(199\) | 10.9684i | 0.777526i | 0.921338 | + | 0.388763i | \(0.127098\pi\) | ||||
−0.921338 | + | 0.388763i | \(0.872902\pi\) | |||||||
\(200\) | 0.784143 | + | 0.972645i | 0.0554473 | + | 0.0687764i | ||||
\(201\) | 22.9312 | + | 16.6605i | 1.61744 | + | 1.17514i | ||||
\(202\) | 10.5883 | − | 2.43644i | 0.744993 | − | 0.171427i | ||||
\(203\) | −10.1206 | − | 3.28839i | −0.710328 | − | 0.230799i | ||||
\(204\) | −14.5167 | + | 7.05427i | −1.01637 | + | 0.493897i | ||||
\(205\) | 7.67056 | + | 10.5576i | 0.535735 | + | 0.737376i | ||||
\(206\) | 0.300013 | + | 0.500125i | 0.0209029 | + | 0.0348454i | ||||
\(207\) | −2.19627 | + | 0.713611i | −0.152651 | + | 0.0495994i | ||||
\(208\) | −1.17319 | − | 0.0443680i | −0.0813458 | − | 0.00307637i | ||||
\(209\) | 4.95840 | + | 2.78078i | 0.342980 | + | 0.192351i | ||||
\(210\) | 10.6579 | + | 4.53311i | 0.735465 | + | 0.312815i | ||||
\(211\) | −5.96517 | − | 18.3589i | −0.410659 | − | 1.26388i | −0.916076 | − | 0.401004i | \(-0.868661\pi\) |
0.505417 | − | 0.862875i | \(-0.331339\pi\) | |||||||
\(212\) | 0.432178 | + | 3.10773i | 0.0296821 | + | 0.213440i | ||||
\(213\) | 7.90771 | − | 5.74529i | 0.541827 | − | 0.393661i | ||||
\(214\) | 5.52086 | + | 4.80622i | 0.377398 | + | 0.328547i | ||||
\(215\) | 2.51889 | − | 7.75235i | 0.171787 | − | 0.528706i | ||||
\(216\) | −8.96838 | − | 5.85185i | −0.610221 | − | 0.398168i | ||||
\(217\) | −3.37407 | + | 4.64401i | −0.229047 | + | 0.315256i | ||||
\(218\) | 1.56523 | − | 17.7428i | 0.106011 | − | 1.20170i | ||||
\(219\) | −11.6414 | −0.786652 | ||||||||
\(220\) | −5.63785 | + | 14.4101i | −0.380104 | + | 0.971527i | ||||
\(221\) | −0.871148 | −0.0585998 | ||||||||
\(222\) | 1.76509 | − | 20.0084i | 0.118465 | − | 1.34288i | ||||
\(223\) | 6.37102 | − | 8.76895i | 0.426635 | − | 0.587212i | −0.540542 | − | 0.841317i | \(-0.681781\pi\) |
0.967177 | + | 0.254105i | \(0.0817808\pi\) | |||||||
\(224\) | −7.17504 | + | 1.36777i | −0.479403 | + | 0.0913880i | ||||
\(225\) | −0.599570 | + | 1.84529i | −0.0399713 | + | 0.123019i | ||||
\(226\) | −2.83808 | − | 2.47071i | −0.188786 | − | 0.164349i | ||||
\(227\) | −19.4139 | + | 14.1050i | −1.28854 | + | 0.936181i | −0.999775 | − | 0.0212179i | \(-0.993246\pi\) |
−0.288768 | + | 0.957399i | \(0.593246\pi\) | |||||||
\(228\) | −9.23199 | + | 1.28385i | −0.611403 | + | 0.0850252i | ||||
\(229\) | −7.59603 | − | 23.3782i | −0.501960 | − | 1.54487i | −0.805822 | − | 0.592158i | \(-0.798276\pi\) |
0.303862 | − | 0.952716i | \(-0.401724\pi\) | |||||||
\(230\) | −1.59604 | − | 0.678840i | −0.105240 | − | 0.0447614i | ||||
\(231\) | 1.36157 | + | 11.5639i | 0.0895849 | + | 0.760846i | ||||
\(232\) | 8.30636 | + | 21.7800i | 0.545339 | + | 1.42992i | ||||
\(233\) | −13.6046 | + | 4.42039i | −0.891264 | + | 0.289589i | −0.718627 | − | 0.695396i | \(-0.755229\pi\) |
−0.172637 | + | 0.984985i | \(0.555229\pi\) | |||||||
\(234\) | −0.937908 | − | 1.56350i | −0.0613129 | − | 0.102209i | ||||
\(235\) | 10.5026 | + | 14.4556i | 0.685113 | + | 0.942977i | ||||
\(236\) | 12.3026 | + | 25.3170i | 0.800832 | + | 1.64800i | ||||
\(237\) | 25.4710 | + | 8.27602i | 1.65452 | + | 0.537585i | ||||
\(238\) | −5.28186 | + | 1.21539i | −0.342372 | + | 0.0787820i | ||||
\(239\) | 15.9893 | + | 11.6169i | 1.03426 | + | 0.751436i | 0.969157 | − | 0.246442i | \(-0.0792616\pi\) |
0.0651055 | + | 0.997878i | \(0.479262\pi\) | |||||||
\(240\) | −6.92237 | − | 24.4075i | −0.446837 | − | 1.57550i | ||||
\(241\) | − | 6.53055i | − | 0.420669i | −0.977629 | − | 0.210335i | \(-0.932545\pi\) | ||
0.977629 | − | 0.210335i | \(-0.0674554\pi\) | |||||||
\(242\) | −15.3899 | + | 2.26961i | −0.989300 | + | 0.145896i | ||||
\(243\) | 19.1981i | 1.23156i | ||||||||
\(244\) | −16.6693 | − | 8.89420i | −1.06714 | − | 0.569393i | ||||
\(245\) | −10.0641 | − | 7.31203i | −0.642975 | − | 0.467148i | ||||
\(246\) | −4.82365 | − | 20.9627i | −0.307545 | − | 1.33653i | ||||
\(247\) | −0.478467 | − | 0.155464i | −0.0304442 | − | 0.00989191i | ||||
\(248\) | 12.5584 | − | 0.630827i | 0.797456 | − | 0.0400576i | ||||
\(249\) | 6.00873 | + | 8.27031i | 0.380788 | + | 0.524109i | ||||
\(250\) | 12.8955 | − | 7.73571i | 0.815583 | − | 0.489249i | ||||
\(251\) | 4.53708 | − | 1.47419i | 0.286378 | − | 0.0930498i | −0.162306 | − | 0.986741i | \(-0.551893\pi\) |
0.448684 | + | 0.893691i | \(0.351893\pi\) | |||||||
\(252\) | −7.86796 | − | 8.17114i | −0.495635 | − | 0.514733i | ||||
\(253\) | −0.203897 | − | 1.73170i | −0.0128189 | − | 0.108871i | ||||
\(254\) | 11.0515 | − | 25.9834i | 0.693432 | − | 1.63034i | ||||
\(255\) | −5.81729 | − | 17.9038i | −0.364293 | − | 1.12118i | ||||
\(256\) | 12.1970 | + | 10.3554i | 0.762311 | + | 0.647210i | ||||
\(257\) | 2.45693 | − | 1.78506i | 0.153259 | − | 0.111349i | −0.508513 | − | 0.861054i | \(-0.669805\pi\) |
0.661772 | + | 0.749705i | \(0.269805\pi\) | |||||||
\(258\) | −8.82214 | + | 10.1339i | −0.549242 | + | 0.630909i | ||||
\(259\) | 2.08434 | − | 6.41493i | 0.129514 | − | 0.398604i | ||||
\(260\) | 0.239736 | − | 1.34820i | 0.0148678 | − | 0.0836120i | ||||
\(261\) | −21.2780 | + | 29.2866i | −1.31707 | + | 1.81280i | ||||
\(262\) | 28.8983 | + | 2.54934i | 1.78534 | + | 0.157499i | ||||
\(263\) | −14.1671 | −0.873580 | −0.436790 | − | 0.899564i | \(-0.643885\pi\) | ||||
−0.436790 | + | 0.899564i | \(0.643885\pi\) | |||||||
\(264\) | 17.8483 | − | 18.2203i | 1.09849 | − | 1.12138i | ||||
\(265\) | −3.65966 | −0.224811 | ||||||||
\(266\) | −3.11789 | − | 0.275053i | −0.191170 | − | 0.0168646i | ||||
\(267\) | −0.955929 | + | 1.31572i | −0.0585019 | + | 0.0805210i | ||||
\(268\) | 3.65024 | − | 20.5278i | 0.222974 | − | 1.25394i | ||||
\(269\) | 0.309559 | − | 0.952724i | 0.0188741 | − | 0.0580886i | −0.941176 | − | 0.337917i | \(-0.890278\pi\) |
0.960050 | + | 0.279829i | \(0.0902776\pi\) | |||||||
\(270\) | 8.20122 | − | 9.42065i | 0.499110 | − | 0.573322i | ||||
\(271\) | −14.3933 | + | 10.4573i | −0.874330 | + | 0.635238i | −0.931745 | − | 0.363113i | \(-0.881714\pi\) |
0.0574157 | + | 0.998350i | \(0.481714\pi\) | |||||||
\(272\) | 9.33431 | + | 7.33636i | 0.565976 | + | 0.444832i | ||||
\(273\) | −0.318417 | − | 0.979986i | −0.0192714 | − | 0.0593114i | ||||
\(274\) | 3.46802 | − | 8.15373i | 0.209511 | − | 0.492585i | ||||
\(275\) | −1.27778 | − | 0.716611i | −0.0770533 | − | 0.0432133i | ||||
\(276\) | 1.98295 | + | 2.05936i | 0.119360 | + | 0.123959i | ||||
\(277\) | 18.4378 | − | 5.99082i | 1.10782 | − | 0.359953i | 0.302714 | − | 0.953081i | \(-0.402107\pi\) |
0.805108 | + | 0.593128i | \(0.202107\pi\) | |||||||
\(278\) | −16.3482 | + | 9.80687i | −0.980497 | + | 0.588177i | ||||
\(279\) | 11.4780 | + | 15.7981i | 0.687169 | + | 0.945806i | ||||
\(280\) | −0.427409 | − | 8.50876i | −0.0255426 | − | 0.508496i | ||||
\(281\) | −13.9771 | − | 4.54142i | −0.833802 | − | 0.270919i | −0.139156 | − | 0.990270i | \(-0.544439\pi\) |
−0.694646 | + | 0.719352i | \(0.744439\pi\) | |||||||
\(282\) | −6.60457 | − | 28.7023i | −0.393297 | − | 1.70920i | ||||
\(283\) | −2.02002 | − | 1.46763i | −0.120078 | − | 0.0872415i | 0.526126 | − | 0.850407i | \(-0.323644\pi\) |
−0.646203 | + | 0.763165i | \(0.723644\pi\) | |||||||
\(284\) | −6.34348 | − | 3.38467i | −0.376416 | − | 0.200843i | ||||
\(285\) | − | 10.8716i | − | 0.643977i | ||||||
\(286\) | 1.29630 | − | 0.463476i | 0.0766519 | − | 0.0274059i | ||||
\(287\) | − | 7.22339i | − | 0.426383i | ||||||
\(288\) | −3.11737 | + | 24.6514i | −0.183693 | + | 1.45260i | ||||
\(289\) | −6.62627 | − | 4.81427i | −0.389781 | − | 0.283192i | ||||
\(290\) | −26.4959 | + | 6.09688i | −1.55589 | + | 0.358021i | ||||
\(291\) | 21.5303 | + | 6.99563i | 1.26213 | + | 0.410091i | ||||
\(292\) | 3.74275 | + | 7.70203i | 0.219028 | + | 0.450727i | ||||
\(293\) | 4.41949 | + | 6.08290i | 0.258189 | + | 0.355367i | 0.918358 | − | 0.395750i | \(-0.129515\pi\) |
−0.660169 | + | 0.751117i | \(0.729515\pi\) | |||||||
\(294\) | 10.5482 | + | 17.5839i | 0.615183 | + | 1.02552i | ||||
\(295\) | −31.2242 | + | 10.1453i | −1.81794 | + | 0.590685i | ||||
\(296\) | −13.8052 | + | 5.26497i | −0.802410 | + | 0.306020i | ||||
\(297\) | 12.3143 | + | 2.45722i | 0.714547 | + | 0.142582i | ||||
\(298\) | −22.7094 | − | 9.65896i | −1.31552 | − | 0.559529i | ||||
\(299\) | 0.0476833 | + | 0.146754i | 0.00275760 | + | 0.00848702i | ||||
\(300\) | 2.37909 | − | 0.330850i | 0.137357 | − | 0.0191016i | ||||
\(301\) | −3.65020 | + | 2.65203i | −0.210394 | + | 0.152860i | ||||
\(302\) | −10.4793 | − | 9.12282i | −0.603015 | − | 0.524960i | ||||
\(303\) | 6.45497 | − | 19.8664i | 0.370828 | − | 1.14129i | ||||
\(304\) | 3.81752 | + | 5.69519i | 0.218950 | + | 0.326642i | ||||
\(305\) | 12.9531 | − | 17.8285i | 0.741694 | − | 1.02085i | ||||
\(306\) | −1.62022 | + | 18.3662i | −0.0926219 | + | 1.04992i | ||||
\(307\) | 25.7991 | 1.47243 | 0.736216 | − | 0.676747i | \(-0.236611\pi\) | ||||
0.736216 | + | 0.676747i | \(0.236611\pi\) | |||||||
\(308\) | 7.21299 | − | 4.61865i | 0.410998 | − | 0.263172i | ||||
\(309\) | 1.12126 | 0.0637861 | ||||||||
\(310\) | −1.28881 | + | 14.6095i | −0.0731997 | + | 0.829762i | ||||
\(311\) | 1.74241 | − | 2.39822i | 0.0988030 | − | 0.135991i | −0.756753 | − | 0.653701i | \(-0.773215\pi\) |
0.855556 | + | 0.517710i | \(0.173215\pi\) | |||||||
\(312\) | −1.23343 | + | 1.89032i | −0.0698292 | + | 0.107018i | ||||
\(313\) | 0.186644 | − | 0.574432i | 0.0105498 | − | 0.0324688i | −0.945643 | − | 0.325206i | \(-0.894566\pi\) |
0.956193 | + | 0.292738i | \(0.0945662\pi\) | |||||||
\(314\) | 16.4308 | + | 14.3039i | 0.927243 | + | 0.807219i | ||||
\(315\) | 10.7038 | − | 7.77677i | 0.603091 | − | 0.438171i | ||||
\(316\) | −2.71353 | − | 19.5126i | −0.152648 | − | 1.09767i | ||||
\(317\) | 7.09054 | + | 21.8224i | 0.398244 | + | 1.22567i | 0.926406 | + | 0.376526i | \(0.122881\pi\) |
−0.528162 | + | 0.849144i | \(0.677119\pi\) | |||||||
\(318\) | 5.55106 | + | 2.36102i | 0.311288 | + | 0.132400i | ||||
\(319\) | −18.5419 | − | 20.0829i | −1.03815 | − | 1.12443i | ||||
\(320\) | −13.9226 | + | 12.4270i | −0.778299 | + | 0.694690i | ||||
\(321\) | 13.3840 | − | 4.34874i | 0.747024 | − | 0.242723i | ||||
\(322\) | 0.493854 | + | 0.823260i | 0.0275214 | + | 0.0458785i | ||||
\(323\) | 2.99035 | + | 4.11587i | 0.166388 | + | 0.229013i | ||||
\(324\) | 5.18688 | − | 2.52053i | 0.288160 | − | 0.140029i | ||||
\(325\) | 0.123302 | + | 0.0400631i | 0.00683954 | + | 0.00222230i | ||||
\(326\) | −14.8394 | + | 3.41464i | −0.821879 | + | 0.189119i | ||||
\(327\) | −27.7041 | − | 20.1282i | −1.53204 | − | 1.11309i | ||||
\(328\) | −12.3183 | + | 9.93094i | −0.680162 | + | 0.548345i | ||||
\(329\) | − | 9.89031i | − | 0.545270i | ||||||
\(330\) | 18.1817 | + | 23.5466i | 1.00087 | + | 1.29620i | ||||
\(331\) | 4.43442i | 0.243738i | 0.992546 | + | 0.121869i | \(0.0388887\pi\) | ||||
−0.992546 | + | 0.121869i | \(0.961111\pi\) | |||||||
\(332\) | 3.53987 | − | 6.63435i | 0.194276 | − | 0.364107i | ||||
\(333\) | −18.5633 | − | 13.4870i | −1.01726 | − | 0.739083i | ||||
\(334\) | −2.03663 | − | 8.85081i | −0.111439 | − | 0.484295i | ||||
\(335\) | 23.1285 | + | 7.51490i | 1.26364 | + | 0.410583i | ||||
\(336\) | −4.84111 | + | 13.1820i | −0.264104 | + | 0.719139i | ||||
\(337\) | 10.4401 | + | 14.3696i | 0.568711 | + | 0.782763i | 0.992401 | − | 0.123044i | \(-0.0392656\pi\) |
−0.423691 | + | 0.905807i | \(0.639266\pi\) | |||||||
\(338\) | 15.6612 | − | 9.39479i | 0.851857 | − | 0.511009i | ||||
\(339\) | −6.88025 | + | 2.23553i | −0.373684 | + | 0.121417i | ||||
\(340\) | −9.97500 | + | 9.60490i | −0.540971 | + | 0.520899i | ||||
\(341\) | −13.3939 | + | 6.16483i | −0.725320 | + | 0.333844i | ||||
\(342\) | −4.16748 | + | 9.79825i | −0.225351 | + | 0.529829i | ||||
\(343\) | 4.92088 | + | 15.1449i | 0.265703 | + | 0.817748i | ||||
\(344\) | 9.54101 | + | 2.57871i | 0.514417 | + | 0.139035i | ||||
\(345\) | −2.69767 | + | 1.95997i | −0.145238 | + | 0.105521i | ||||
\(346\) | 3.35944 | − | 3.85895i | 0.180605 | − | 0.207458i | ||||
\(347\) | 1.19913 | − | 3.69054i | 0.0643726 | − | 0.198119i | −0.913697 | − | 0.406396i | \(-0.866786\pi\) |
0.978070 | + | 0.208277i | \(0.0667855\pi\) | |||||||
\(348\) | 44.1231 | + | 7.84593i | 2.36524 | + | 0.420586i | ||||
\(349\) | −11.5900 | + | 15.9522i | −0.620396 | + | 0.853903i | −0.997382 | − | 0.0723168i | \(-0.976961\pi\) |
0.376985 | + | 0.926219i | \(0.376961\pi\) | |||||||
\(350\) | 0.803484 | + | 0.0708815i | 0.0429480 | + | 0.00378878i | ||||
\(351\) | −1.11124 | −0.0593137 | ||||||||
\(352\) | −17.7930 | − | 5.95066i | −0.948368 | − | 0.317171i | ||||
\(353\) | −1.59623 | −0.0849587 | −0.0424794 | − | 0.999097i | \(-0.513526\pi\) | ||||
−0.0424794 | + | 0.999097i | \(0.513526\pi\) | |||||||
\(354\) | 53.9068 | + | 4.75554i | 2.86512 | + | 0.252754i | ||||
\(355\) | 4.92929 | − | 6.78458i | 0.261619 | − | 0.360088i | ||||
\(356\) | 1.17783 | + | 0.209440i | 0.0624247 | + | 0.0111003i | ||||
\(357\) | −3.21998 | + | 9.91009i | −0.170420 | + | 0.524497i | ||||
\(358\) | 4.65008 | − | 5.34150i | 0.245764 | − | 0.282307i | ||||
\(359\) | 12.4772 | − | 9.06523i | 0.658522 | − | 0.478445i | −0.207641 | − | 0.978205i | \(-0.566579\pi\) |
0.866164 | + | 0.499760i | \(0.166579\pi\) | |||||||
\(360\) | −27.9779 | − | 7.56177i | −1.47456 | − | 0.398541i | ||||
\(361\) | −4.96342 | − | 15.2758i | −0.261233 | − | 0.803991i | ||||
\(362\) | −5.42556 | + | 12.7562i | −0.285161 | + | 0.670449i | ||||
\(363\) | −11.4788 | + | 27.6176i | −0.602480 | + | 1.44955i | ||||
\(364\) | −0.545994 | + | 0.525735i | −0.0286178 | + | 0.0275560i | ||||
\(365\) | −9.49912 | + | 3.08645i | −0.497207 | + | 0.161552i | ||||
\(366\) | −31.1496 | + | 18.6859i | −1.62822 | + | 0.976729i | ||||
\(367\) | −6.20229 | − | 8.53673i | −0.323757 | − | 0.445613i | 0.615853 | − | 0.787861i | \(-0.288812\pi\) |
−0.939610 | + | 0.342248i | \(0.888812\pi\) | |||||||
\(368\) | 0.724964 | − | 1.97403i | 0.0377914 | − | 0.102903i | ||||
\(369\) | −23.3700 | − | 7.59337i | −1.21659 | − | 0.395295i | ||||
\(370\) | −3.86450 | − | 16.7944i | −0.200906 | − | 0.873099i | ||||
\(371\) | 1.63882 | + | 1.19067i | 0.0850831 | + | 0.0618165i | ||||
\(372\) | 11.3802 | − | 21.3285i | 0.590035 | − | 1.10583i | ||||
\(373\) | 37.4953i | 1.94143i | 0.240225 | + | 0.970717i | \(0.422779\pi\) | ||||
−0.240225 | + | 0.970717i | \(0.577221\pi\) | |||||||
\(374\) | −13.3602 | − | 3.91340i | −0.690837 | − | 0.202357i | ||||
\(375\) | − | 28.9111i | − | 1.49296i | ||||||
\(376\) | −16.8662 | + | 13.5975i | −0.869810 | + | 0.701238i | ||||
\(377\) | 1.95693 | + | 1.42179i | 0.100787 | + | 0.0732259i | ||||
\(378\) | −6.73757 | + | 1.55036i | −0.346543 | + | 0.0797417i | ||||
\(379\) | −20.2850 | − | 6.59100i | −1.04197 | − | 0.338557i | −0.262459 | − | 0.964943i | \(-0.584533\pi\) |
−0.779513 | + | 0.626386i | \(0.784533\pi\) | |||||||
\(380\) | −7.19272 | + | 3.49525i | −0.368979 | + | 0.179303i | ||||
\(381\) | −31.9082 | − | 43.9179i | −1.63471 | − | 2.24998i | ||||
\(382\) | 8.50420 | + | 14.1766i | 0.435113 | + | 0.725338i | ||||
\(383\) | 27.4201 | − | 8.90933i | 1.40110 | − | 0.455245i | 0.491554 | − | 0.870847i | \(-0.336429\pi\) |
0.909547 | + | 0.415602i | \(0.136429\pi\) | |||||||
\(384\) | 29.1355 | − | 9.86739i | 1.48681 | − | 0.503543i | ||||
\(385\) | 4.17691 | + | 9.07487i | 0.212875 | + | 0.462498i | ||||
\(386\) | 1.50255 | + | 0.639079i | 0.0764780 | + | 0.0325283i | ||||
\(387\) | 4.74300 | + | 14.5975i | 0.241100 | + | 0.742031i | ||||
\(388\) | −2.29371 | − | 16.4938i | −0.116446 | − | 0.837343i | ||||
\(389\) | 28.2179 | − | 20.5015i | 1.43070 | − | 1.03947i | 0.440817 | − | 0.897597i | \(-0.354689\pi\) |
0.989885 | − | 0.141869i | \(-0.0453112\pi\) | |||||||
\(390\) | −1.98565 | − | 1.72862i | −0.100547 | − | 0.0875322i | ||||
\(391\) | 0.482197 | − | 1.48405i | 0.0243858 | − | 0.0750516i | ||||
\(392\) | 8.24239 | − | 12.6321i | 0.416303 | − | 0.638015i | ||||
\(393\) | 32.7835 | − | 45.1226i | 1.65371 | − | 2.27614i | ||||
\(394\) | −1.94179 | + | 22.0113i | −0.0978257 | + | 1.10891i | ||||
\(395\) | 22.9780 | 1.15615 | ||||||||
\(396\) | −7.36038 | − | 28.1916i | −0.369873 | − | 1.41668i | ||||
\(397\) | 16.9102 | 0.848698 | 0.424349 | − | 0.905499i | \(-0.360503\pi\) | ||||
0.424349 | + | 0.905499i | \(0.360503\pi\) | |||||||
\(398\) | 1.36310 | − | 15.4516i | 0.0683262 | − | 0.774518i | ||||
\(399\) | −3.53707 | + | 4.86836i | −0.177075 | + | 0.243723i | ||||
\(400\) | −0.983780 | − | 1.46766i | −0.0491890 | − | 0.0733829i | ||||
\(401\) | 4.90100 | − | 15.0837i | 0.244744 | − | 0.753246i | −0.750934 | − | 0.660377i | \(-0.770396\pi\) |
0.995678 | − | 0.0928687i | \(-0.0296037\pi\) | |||||||
\(402\) | −30.2336 | − | 26.3201i | −1.50792 | − | 1.31273i | ||||
\(403\) | 1.05562 | − | 0.766956i | 0.0525844 | − | 0.0382048i | ||||
\(404\) | −15.2190 | + | 2.11644i | −0.757175 | + | 0.105297i | ||||
\(405\) | 2.07855 | + | 6.39712i | 0.103284 | + | 0.317876i | ||||
\(406\) | 13.8487 | + | 5.89024i | 0.687298 | + | 0.292328i | ||||
\(407\) | 12.7295 | − | 11.7527i | 0.630977 | − | 0.582561i | ||||
\(408\) | 21.3269 | − | 8.13357i | 1.05584 | − | 0.402672i | ||||
\(409\) | −26.3195 | + | 8.55173i | −1.30142 | + | 0.422856i | −0.876074 | − | 0.482176i | \(-0.839846\pi\) |
−0.425343 | + | 0.905032i | \(0.639846\pi\) | |||||||
\(410\) | −9.49378 | − | 15.8262i | −0.468865 | − | 0.781602i | ||||
\(411\) | −10.0130 | − | 13.7817i | −0.493904 | − | 0.679800i | ||||
\(412\) | −0.360488 | − | 0.741832i | −0.0177600 | − | 0.0365474i | ||||
\(413\) | 17.2832 | + | 5.61564i | 0.850449 | + | 0.276328i | ||||
\(414\) | 3.18266 | − | 0.732351i | 0.156419 | − | 0.0359931i | ||||
\(415\) | 7.09568 | + | 5.15531i | 0.348313 | + | 0.253064i | ||||
\(416\) | 1.64720 | + | 0.208302i | 0.0807608 | + | 0.0102128i | ||||
\(417\) | 36.6518i | 1.79485i | ||||||||
\(418\) | −6.63952 | − | 4.53362i | −0.324750 | − | 0.221746i | ||||
\(419\) | 22.9710i | 1.12221i | 0.827746 | + | 0.561103i | \(0.189623\pi\) | ||||
−0.827746 | + | 0.561103i | \(0.810377\pi\) | |||||||
\(420\) | −14.4509 | − | 7.71051i | −0.705131 | − | 0.376235i | ||||
\(421\) | 24.3592 | + | 17.6980i | 1.18719 | + | 0.862546i | 0.992965 | − | 0.118410i | \(-0.0377796\pi\) |
0.194229 | + | 0.980956i | \(0.437780\pi\) | |||||||
\(422\) | 6.12182 | + | 26.6043i | 0.298005 | + | 1.29508i | ||||
\(423\) | −31.9983 | − | 10.3969i | −1.55581 | − | 0.505514i | ||||
\(424\) | −0.222612 | − | 4.43170i | −0.0108110 | − | 0.215222i | ||||
\(425\) | −0.770618 | − | 1.06066i | −0.0373804 | − | 0.0514498i | ||||
\(426\) | −11.8539 | + | 7.11089i | −0.574325 | + | 0.344524i | ||||
\(427\) | −11.6010 | + | 3.76939i | −0.561411 | + | 0.182413i | ||||
\(428\) | −7.18017 | − | 7.45684i | −0.347066 | − | 0.360440i | ||||
\(429\) | 0.517923 | − | 2.59556i | 0.0250055 | − | 0.125315i | ||||
\(430\) | −4.51190 | + | 10.6080i | −0.217583 | + | 0.511565i | ||||
\(431\) | 3.14369 | + | 9.67528i | 0.151426 | + | 0.466042i | 0.997781 | − | 0.0665771i | \(-0.0212078\pi\) |
−0.846355 | + | 0.532619i | \(0.821208\pi\) | |||||||
\(432\) | 11.9069 | + | 9.35830i | 0.572871 | + | 0.450252i | ||||
\(433\) | −22.2763 | + | 16.1847i | −1.07053 | + | 0.777785i | −0.976007 | − | 0.217737i | \(-0.930132\pi\) |
−0.0945224 | + | 0.995523i | \(0.530132\pi\) | |||||||
\(434\) | 5.33033 | − | 6.12290i | 0.255864 | − | 0.293908i | ||||
\(435\) | −16.1527 | + | 49.7130i | −0.774464 | + | 2.38356i | ||||
\(436\) | −4.41002 | + | 24.8006i | −0.211201 | + | 1.18773i | ||||
\(437\) | 0.529682 | − | 0.729044i | 0.0253381 | − | 0.0348749i | ||||
\(438\) | 16.3997 | + | 1.44675i | 0.783609 | + | 0.0691282i | ||||
\(439\) | −11.5438 | −0.550957 | −0.275479 | − | 0.961307i | \(-0.588836\pi\) | ||||
−0.275479 | + | 0.961307i | \(0.588836\pi\) | |||||||
\(440\) | 9.73310 | − | 19.5994i | 0.464008 | − | 0.934366i | ||||
\(441\) | 23.4241 | 1.11543 | ||||||||
\(442\) | 1.22722 | + | 0.108263i | 0.0583731 | + | 0.00514954i | ||||
\(443\) | −9.98691 | + | 13.7458i | −0.474492 | + | 0.653083i | −0.977435 | − | 0.211237i | \(-0.932251\pi\) |
0.502942 | + | 0.864320i | \(0.332251\pi\) | |||||||
\(444\) | −4.97313 | + | 27.9673i | −0.236014 | + | 1.32727i | ||||
\(445\) | −0.431183 | + | 1.32704i | −0.0204400 | + | 0.0629080i | ||||
\(446\) | −10.0649 | + | 11.5614i | −0.476587 | + | 0.547450i | ||||
\(447\) | −38.3841 | + | 27.8877i | −1.81551 | + | 1.31904i | ||||
\(448\) | 10.2778 | − | 1.03515i | 0.485579 | − | 0.0489063i | ||||
\(449\) | 1.89015 | + | 5.81730i | 0.0892019 | + | 0.274535i | 0.985699 | − | 0.168514i | \(-0.0538968\pi\) |
−0.896497 | + | 0.443049i | \(0.853897\pi\) | |||||||
\(450\) | 1.07396 | − | 2.52502i | 0.0506271 | − | 0.119031i | ||||
\(451\) | 9.07566 | − | 16.1828i | 0.427356 | − | 0.762017i | ||||
\(452\) | 3.69107 | + | 3.83330i | 0.173613 | + | 0.180303i | ||||
\(453\) | −25.4046 | + | 8.25445i | −1.19361 | + | 0.387828i | ||||
\(454\) | 29.1020 | − | 17.4576i | 1.36583 | − | 0.819327i | ||||
\(455\) | −0.519642 | − | 0.715226i | −0.0243612 | − | 0.0335303i | ||||
\(456\) | 13.1650 | − | 0.661303i | 0.616510 | − | 0.0309683i | ||||
\(457\) | −6.20446 | − | 2.01595i | −0.290232 | − | 0.0943022i | 0.160282 | − | 0.987071i | \(-0.448760\pi\) |
−0.450515 | + | 0.892769i | \(0.648760\pi\) | |||||||
\(458\) | 7.79551 | + | 33.8778i | 0.364260 | + | 1.58301i | ||||
\(459\) | 9.09126 | + | 6.60518i | 0.424344 | + | 0.308304i | ||||
\(460\) | 2.16404 | + | 1.15466i | 0.100899 | + | 0.0538363i | ||||
\(461\) | − | 19.0882i | − | 0.889026i | −0.895773 | − | 0.444513i | \(-0.853377\pi\) | ||
0.895773 | − | 0.444513i | \(-0.146623\pi\) | |||||||
\(462\) | −0.480994 | − | 16.4597i | −0.0223779 | − | 0.765775i | ||||
\(463\) | − | 13.0359i | − | 0.605829i | −0.953018 | − | 0.302915i | \(-0.902040\pi\) | ||
0.953018 | − | 0.302915i | \(-0.0979597\pi\) | |||||||
\(464\) | −8.99479 | − | 31.7146i | −0.417573 | − | 1.47232i | ||||
\(465\) | 22.8116 | + | 16.5736i | 1.05786 | + | 0.768583i | ||||
\(466\) | 19.7147 | − | 4.53647i | 0.913264 | − | 0.210148i | ||||
\(467\) | 14.4349 | + | 4.69019i | 0.667969 | + | 0.217036i | 0.623320 | − | 0.781967i | \(-0.285783\pi\) |
0.0446484 | + | 0.999003i | \(0.485783\pi\) | |||||||
\(468\) | 1.12696 | + | 2.31913i | 0.0520940 | + | 0.107202i | ||||
\(469\) | −7.91210 | − | 10.8901i | −0.365347 | − | 0.502857i | ||||
\(470\) | −12.9989 | − | 21.6694i | −0.599597 | − | 0.999534i | ||||
\(471\) | 39.8326 | − | 12.9424i | 1.83539 | − | 0.596355i | ||||
\(472\) | −14.1849 | − | 37.1941i | −0.652914 | − | 1.71200i | ||||
\(473\) | −11.5097 | + | 1.35520i | −0.529219 | + | 0.0623122i | ||||
\(474\) | −34.8535 | − | 14.8242i | −1.60088 | − | 0.680899i | ||||
\(475\) | −0.233968 | − | 0.720080i | −0.0107352 | − | 0.0330395i | ||||
\(476\) | 7.59182 | − | 1.05576i | 0.347971 | − | 0.0483908i | ||||
\(477\) | 5.57496 | − | 4.05045i | 0.255260 | − | 0.185457i | ||||
\(478\) | −21.0811 | − | 18.3523i | −0.964228 | − | 0.839416i | ||||
\(479\) | −8.09752 | + | 24.9216i | −0.369985 | + | 1.13870i | 0.576815 | + | 0.816875i | \(0.304295\pi\) |
−0.946800 | + | 0.321822i | \(0.895705\pi\) | |||||||
\(480\) | 6.71857 | + | 35.2442i | 0.306659 | + | 1.60867i | ||||
\(481\) | −0.901199 | + | 1.24039i | −0.0410911 | + | 0.0565571i | ||||
\(482\) | −0.811590 | + | 9.19986i | −0.0369669 | + | 0.419042i | ||||
\(483\) | 1.84571 | 0.0839827 | ||||||||
\(484\) | 21.9625 | − | 1.28469i | 0.998294 | − | 0.0583952i | ||||
\(485\) | 19.4230 | 0.881954 | ||||||||
\(486\) | 2.38586 | − | 27.0452i | 0.108225 | − | 1.22679i | ||||
\(487\) | −16.0181 | + | 22.0471i | −0.725851 | + | 0.999048i | 0.273458 | + | 0.961884i | \(0.411832\pi\) |
−0.999309 | + | 0.0371640i | \(0.988168\pi\) | |||||||
\(488\) | 22.3775 | + | 14.6012i | 1.01298 | + | 0.660967i | ||||
\(489\) | −9.04656 | + | 27.8424i | −0.409099 | + | 1.25908i | ||||
\(490\) | 13.2691 | + | 11.5515i | 0.599436 | + | 0.521843i | ||||
\(491\) | 17.3230 | − | 12.5859i | 0.781778 | − | 0.567995i | −0.123734 | − | 0.992315i | \(-0.539487\pi\) |
0.905512 | + | 0.424320i | \(0.139487\pi\) | |||||||
\(492\) | 4.19012 | + | 30.1305i | 0.188905 | + | 1.35839i | ||||
\(493\) | −7.55888 | − | 23.2638i | −0.340435 | − | 1.04775i | ||||
\(494\) | 0.654717 | + | 0.278470i | 0.0294571 | + | 0.0125290i | ||||
\(495\) | 33.7510 | − | 3.97397i | 1.51699 | − | 0.178617i | ||||
\(496\) | −17.7699 | − | 0.672029i | −0.797891 | − | 0.0301750i | ||||
\(497\) | −4.41473 | + | 1.43443i | −0.198028 | + | 0.0643431i | ||||
\(498\) | −7.43695 | − | 12.3975i | −0.333258 | − | 0.555544i | ||||
\(499\) | −18.1317 | − | 24.9561i | −0.811685 | − | 1.11719i | −0.991061 | − | 0.133408i | \(-0.957408\pi\) |
0.179376 | − | 0.983781i | \(-0.442592\pi\) | |||||||
\(500\) | −19.1278 | + | 9.29502i | −0.855422 | + | 0.415686i | ||||
\(501\) | −16.6063 | − | 5.39573i | −0.741917 | − | 0.241063i | ||||
\(502\) | −6.57478 | + | 1.51290i | −0.293447 | + | 0.0675240i | ||||
\(503\) | −25.6773 | − | 18.6557i | −1.14489 | − | 0.831815i | −0.157101 | − | 0.987583i | \(-0.550215\pi\) |
−0.987794 | + | 0.155768i | \(0.950215\pi\) | |||||||
\(504\) | 10.0684 | + | 12.4888i | 0.448484 | + | 0.556296i | ||||
\(505\) | − | 17.9219i | − | 0.797515i | ||||||
\(506\) | 0.0720296 | + | 2.46487i | 0.00320211 | + | 0.109577i | ||||
\(507\) | − | 35.1117i | − | 1.55936i | ||||||
\(508\) | −18.7978 | + | 35.2305i | −0.834018 | + | 1.56310i | ||||
\(509\) | −5.41179 | − | 3.93190i | −0.239873 | − | 0.174278i | 0.461354 | − | 0.887216i | \(-0.347364\pi\) |
−0.701227 | + | 0.712938i | \(0.747364\pi\) | |||||||
\(510\) | 5.97006 | + | 25.9448i | 0.264359 | + | 1.14885i | ||||
\(511\) | 5.25794 | + | 1.70841i | 0.232598 | + | 0.0755756i | ||||
\(512\) | −15.8955 | − | 16.1038i | −0.702488 | − | 0.711696i | ||||
\(513\) | 3.81451 | + | 5.25022i | 0.168415 | + | 0.231803i | ||||
\(514\) | −3.68302 | + | 2.20936i | −0.162451 | + | 0.0974505i | ||||
\(515\) | 0.914922 | − | 0.297276i | 0.0403163 | − | 0.0130995i | ||||
\(516\) | 13.6875 | − | 13.1797i | 0.602560 | − | 0.580202i | ||||
\(517\) | 12.4265 | − | 22.1575i | 0.546515 | − | 0.974488i | ||||
\(518\) | −3.73351 | + | 8.77795i | −0.164041 | + | 0.385681i | ||||
\(519\) | −3.03967 | − | 9.35513i | −0.133426 | − | 0.410645i | ||||
\(520\) | −0.505276 | + | 1.86948i | −0.0221578 | + | 0.0819820i | ||||
\(521\) | −10.0067 | + | 7.27028i | −0.438401 | + | 0.318517i | −0.784999 | − | 0.619497i | \(-0.787337\pi\) |
0.346598 | + | 0.938014i | \(0.387337\pi\) | |||||||
\(522\) | 33.6148 | − | 38.6130i | 1.47128 | − | 1.69004i | ||||
\(523\) | −1.92840 | + | 5.93501i | −0.0843231 | + | 0.259520i | −0.984324 | − | 0.176367i | \(-0.943565\pi\) |
0.900001 | + | 0.435887i | \(0.143565\pi\) | |||||||
\(524\) | −40.3935 | − | 7.18274i | −1.76460 | − | 0.313779i | ||||
\(525\) | 0.911507 | − | 1.25458i | 0.0397814 | − | 0.0547545i | ||||
\(526\) | 19.9578 | + | 1.76063i | 0.870200 | + | 0.0767671i | ||||
\(527\) | −13.1950 | −0.574784 | ||||||||
\(528\) | −27.4080 | + | 23.4496i | −1.19278 | + | 1.02051i | ||||
\(529\) | 22.7236 | 0.987983 | ||||||||
\(530\) | 5.15551 | + | 0.454808i | 0.223941 | + | 0.0197556i | ||||
\(531\) | 36.3368 | − | 50.0134i | 1.57688 | − | 2.17039i | ||||
\(532\) | 4.35812 | + | 0.774958i | 0.188949 | + | 0.0335987i | ||||
\(533\) | −0.507388 | + | 1.56158i | −0.0219774 | + | 0.0676395i | ||||
\(534\) | 1.51017 | − | 1.73472i | 0.0653515 | − | 0.0750685i | ||||
\(535\) | 9.76811 | − | 7.09695i | 0.422312 | − | 0.306828i | ||||
\(536\) | −7.69337 | + | 28.4648i | −0.332303 | + | 1.22949i | ||||
\(537\) | −4.20746 | − | 12.9492i | −0.181565 | − | 0.558800i | ||||
\(538\) | −0.554489 | + | 1.30367i | −0.0239057 | + | 0.0562053i | ||||
\(539\) | −3.46101 | + | 17.3448i | −0.149076 | + | 0.747093i | ||||
\(540\) | −12.7242 | + | 12.2521i | −0.547561 | + | 0.527245i | ||||
\(541\) | 24.6331 | − | 8.00377i | 1.05906 | − | 0.344109i | 0.272841 | − | 0.962059i | \(-0.412037\pi\) |
0.786217 | + | 0.617950i | \(0.212037\pi\) | |||||||
\(542\) | 21.5760 | − | 12.9429i | 0.926770 | − | 0.555947i | ||||
\(543\) | 15.6649 | + | 21.5608i | 0.672244 | + | 0.925264i | ||||
\(544\) | −12.2379 | − | 11.4951i | −0.524696 | − | 0.492847i | ||||
\(545\) | −27.9425 | − | 9.07907i | −1.19693 | − | 0.388905i | ||||
\(546\) | 0.326778 | + | 1.42012i | 0.0139848 | + | 0.0607755i | ||||
\(547\) | 13.5035 | + | 9.81087i | 0.577368 | + | 0.419482i | 0.837774 | − | 0.546017i | \(-0.183857\pi\) |
−0.260406 | + | 0.965499i | \(0.583857\pi\) | |||||||
\(548\) | −5.89886 | + | 11.0555i | −0.251987 | + | 0.472268i | ||||
\(549\) | 41.4954i | 1.77098i | ||||||||
\(550\) | 1.71101 | + | 1.16832i | 0.0729578 | + | 0.0498172i | ||||
\(551\) | − | 14.1263i | − | 0.601801i | ||||||
\(552\) | −2.53754 | − | 3.14755i | −0.108005 | − | 0.133968i | ||||
\(553\) | −10.2897 | − | 7.47589i | −0.437562 | − | 0.317907i | ||||
\(554\) | −26.7187 | + | 6.14814i | −1.13517 | + | 0.261209i | ||||
\(555\) | −31.5105 | − | 10.2384i | −1.33755 | − | 0.434595i | ||||
\(556\) | 24.2491 | − | 11.7837i | 1.02839 | − | 0.499739i | ||||
\(557\) | −10.9144 | − | 15.0224i | −0.462460 | − | 0.636522i | 0.512557 | − | 0.858653i | \(-0.328698\pi\) |
−0.975017 | + | 0.222132i | \(0.928698\pi\) | |||||||
\(558\) | −14.2062 | − | 23.6819i | −0.601396 | − | 1.00253i | ||||
\(559\) | 0.975400 | − | 0.316927i | 0.0412550 | − | 0.0134046i | ||||
\(560\) | −0.455325 | + | 12.0398i | −0.0192410 | + | 0.508773i | ||||
\(561\) | −19.6651 | + | 18.1562i | −0.830262 | + | 0.766555i | ||||
\(562\) | 19.1257 | + | 8.13471i | 0.806769 | + | 0.343142i | ||||
\(563\) | −7.00832 | − | 21.5694i | −0.295366 | − | 0.909042i | −0.983098 | − | 0.183078i | \(-0.941394\pi\) |
0.687733 | − | 0.725964i | \(-0.258606\pi\) | |||||||
\(564\) | 5.73714 | + | 41.2549i | 0.241577 | + | 1.73714i | ||||
\(565\) | −5.02144 | + | 3.64829i | −0.211253 | + | 0.153485i | ||||
\(566\) | 2.66330 | + | 2.31855i | 0.111947 | + | 0.0974560i | ||||
\(567\) | 1.15052 | − | 3.54093i | 0.0483172 | − | 0.148705i | ||||
\(568\) | 8.51570 | + | 5.55647i | 0.357311 | + | 0.233144i | ||||
\(569\) | 0.0874036 | − | 0.120301i | 0.00366415 | − | 0.00504327i | −0.807181 | − | 0.590304i | \(-0.799008\pi\) |
0.810845 | + | 0.585261i | \(0.199008\pi\) | |||||||
\(570\) | −1.35108 | + | 15.3153i | −0.0565904 | + | 0.641486i | ||||
\(571\) | 22.0331 | 0.922057 | 0.461028 | − | 0.887385i | \(-0.347481\pi\) | ||||
0.461028 | + | 0.887385i | \(0.347481\pi\) | |||||||
\(572\) | −1.88375 | + | 0.491819i | −0.0787637 | + | 0.0205640i | ||||
\(573\) | 31.7832 | 1.32776 | ||||||||
\(574\) | −0.897694 | + | 10.1759i | −0.0374690 | + | 0.424733i | ||||
\(575\) | −0.136500 | + | 0.187876i | −0.00569242 | + | 0.00783495i | ||||
\(576\) | 7.45515 | − | 34.3401i | 0.310631 | − | 1.43084i | ||||
\(577\) | 1.21706 | − | 3.74573i | 0.0506669 | − | 0.155937i | −0.922522 | − | 0.385945i | \(-0.873875\pi\) |
0.973189 | + | 0.230008i | \(0.0738754\pi\) | |||||||
\(578\) | 8.73642 | + | 7.60555i | 0.363387 | + | 0.316349i | ||||
\(579\) | 2.53966 | − | 1.84517i | 0.105545 | − | 0.0766827i | ||||
\(580\) | 38.0836 | − | 5.29613i | 1.58134 | − | 0.219910i | ||||
\(581\) | −1.50021 | − | 4.61716i | −0.0622391 | − | 0.191552i | ||||
\(582\) | −29.4613 | − | 12.5307i | −1.22121 | − | 0.519416i | ||||
\(583\) | 2.17550 | + | 4.72655i | 0.0901000 | + | 0.195754i | ||||
\(584\) | −4.31539 | − | 11.3153i | −0.178572 | − | 0.468231i | ||||
\(585\) | −2.86025 | + | 0.929350i | −0.118257 | + | 0.0384239i | ||||
\(586\) | −5.46996 | − | 9.11848i | −0.225962 | − | 0.376681i | ||||
\(587\) | −11.1451 | − | 15.3399i | −0.460006 | − | 0.633144i | 0.514504 | − | 0.857488i | \(-0.327976\pi\) |
−0.974510 | + | 0.224344i | \(0.927976\pi\) | |||||||
\(588\) | −12.6744 | − | 26.0821i | −0.522684 | − | 1.07561i | ||||
\(589\) | −7.24720 | − | 2.35476i | −0.298616 | − | 0.0970261i | ||||
\(590\) | 45.2476 | − | 10.4118i | 1.86282 | − | 0.428646i | ||||
\(591\) | 34.3690 | + | 24.9706i | 1.41375 | + | 1.02715i | ||||
\(592\) | 20.1023 | − | 5.70133i | 0.826198 | − | 0.234323i | ||||
\(593\) | 31.9983i | 1.31401i | 0.753885 | + | 0.657007i | \(0.228178\pi\) | ||||
−0.753885 | + | 0.657007i | \(0.771822\pi\) | |||||||
\(594\) | −17.0423 | − | 4.99196i | −0.699253 | − | 0.204822i | ||||
\(595\) | 8.94012i | 0.366509i | ||||||||
\(596\) | 30.7913 | + | 16.4292i | 1.26126 | + | 0.672967i | ||||
\(597\) | −24.1265 | − | 17.5290i | −0.987433 | − | 0.717412i | ||||
\(598\) | −0.0489355 | − | 0.212665i | −0.00200112 | − | 0.00869651i | ||||
\(599\) | 8.23336 | + | 2.67518i | 0.336406 | + | 0.109305i | 0.472349 | − | 0.881412i | \(-0.343406\pi\) |
−0.135943 | + | 0.990717i | \(0.543406\pi\) | |||||||
\(600\) | −3.39265 | + | 0.170418i | −0.138504 | + | 0.00695730i | ||||
\(601\) | −12.9491 | − | 17.8228i | −0.528203 | − | 0.727009i | 0.458652 | − | 0.888616i | \(-0.348332\pi\) |
−0.986855 | + | 0.161607i | \(0.948332\pi\) | |||||||
\(602\) | 5.47178 | − | 3.28239i | 0.223013 | − | 0.133780i | ||||
\(603\) | −43.5503 | + | 14.1503i | −1.77350 | + | 0.576246i | ||||
\(604\) | 13.6289 | + | 14.1540i | 0.554551 | + | 0.575919i | ||||
\(605\) | −2.04426 | + | 25.5787i | −0.0831110 | + | 1.03992i | ||||
\(606\) | −11.5623 | + | 27.1844i | −0.469687 | + | 1.10429i | ||||
\(607\) | 13.2005 | + | 40.6268i | 0.535790 | + | 1.64899i | 0.741936 | + | 0.670471i | \(0.233908\pi\) |
−0.206146 | + | 0.978521i | \(0.566092\pi\) | |||||||
\(608\) | −4.67013 | − | 8.49748i | −0.189399 | − | 0.344618i | ||||
\(609\) | 23.4074 | − | 17.0065i | 0.948517 | − | 0.689138i | ||||
\(610\) | −20.4633 | + | 23.5059i | −0.828534 | + | 0.951728i | ||||
\(611\) | −0.694718 | + | 2.13812i | −0.0281053 | + | 0.0864992i | ||||
\(612\) | 4.56495 | − | 25.6718i | 0.184527 | − | 1.03772i | ||||
\(613\) | −5.74748 | + | 7.91073i | −0.232139 | + | 0.319511i | −0.909156 | − | 0.416456i | \(-0.863272\pi\) |
0.677018 | + | 0.735967i | \(0.263272\pi\) | |||||||
\(614\) | −36.3443 | − | 3.20621i | −1.46673 | − | 0.129392i | ||||
\(615\) | −35.4817 | −1.43076 | ||||||||
\(616\) | −10.7352 | + | 5.61008i | −0.432535 | + | 0.226037i | ||||
\(617\) | −22.4213 | −0.902649 | −0.451324 | − | 0.892360i | \(-0.649048\pi\) | ||||
−0.451324 | + | 0.892360i | \(0.649048\pi\) | |||||||
\(618\) | −1.57956 | − | 0.139345i | −0.0635393 | − | 0.00560529i | ||||
\(619\) | −11.3322 | + | 15.5975i | −0.455481 | + | 0.626916i | −0.973564 | − | 0.228414i | \(-0.926646\pi\) |
0.518083 | + | 0.855331i | \(0.326646\pi\) | |||||||
\(620\) | 3.63121 | − | 20.4208i | 0.145833 | − | 0.820120i | ||||
\(621\) | 0.615093 | − | 1.89306i | 0.0246828 | − | 0.0759660i | ||||
\(622\) | −2.75265 | + | 3.16194i | −0.110371 | + | 0.126782i | ||||
\(623\) | 0.624841 | − | 0.453973i | 0.0250337 | − | 0.0181881i | ||||
\(624\) | 1.97251 | − | 2.50969i | 0.0789635 | − | 0.100468i | ||||
\(625\) | −8.34762 | − | 25.6913i | −0.333905 | − | 1.02765i | ||||
\(626\) | −0.334322 | + | 0.786031i | −0.0133622 | + | 0.0314161i | ||||
\(627\) | −14.0409 | + | 6.46266i | −0.560741 | + | 0.258094i | ||||
\(628\) | −21.3691 | − | 22.1925i | −0.852720 | − | 0.885579i | ||||
\(629\) | 14.7457 | − | 4.79118i | 0.587951 | − | 0.191037i | ||||
\(630\) | −16.0454 | + | 9.62524i | −0.639263 | + | 0.383479i | ||||
\(631\) | 22.5021 | + | 30.9715i | 0.895794 | + | 1.23296i | 0.971790 | + | 0.235847i | \(0.0757864\pi\) |
−0.0759958 | + | 0.997108i | \(0.524214\pi\) | |||||||
\(632\) | 1.39772 | + | 27.8254i | 0.0555982 | + | 1.10683i | ||||
\(633\) | 49.9163 | + | 16.2188i | 1.98400 | + | 0.644639i | ||||
\(634\) | −7.27674 | − | 31.6234i | −0.288996 | − | 1.25592i | ||||
\(635\) | −37.6803 | − | 27.3763i | −1.49530 | − | 1.08640i | ||||
\(636\) | −7.52659 | − | 4.01594i | −0.298449 | − | 0.159242i | ||||
\(637\) | − | 1.56519i | − | 0.0620153i | ||||||
\(638\) | 23.6249 | + | 30.5959i | 0.935319 | + | 1.21130i | ||||
\(639\) | 15.7910i | 0.624682i | ||||||||
\(640\) | 21.1578 | − | 15.7762i | 0.836335 | − | 0.623608i | ||||
\(641\) | 25.5946 | + | 18.5955i | 1.01092 | + | 0.734480i | 0.964403 | − | 0.264438i | \(-0.0851864\pi\) |
0.0465216 | + | 0.998917i | \(0.485186\pi\) | |||||||
\(642\) | −19.3951 | + | 4.46293i | −0.765463 | + | 0.176138i | ||||
\(643\) | 14.1716 | + | 4.60464i | 0.558874 | + | 0.181589i | 0.574814 | − | 0.818284i | \(-0.305074\pi\) |
−0.0159405 | + | 0.999873i | \(0.505074\pi\) | |||||||
\(644\) | −0.593402 | − | 1.22114i | −0.0233833 | − | 0.0481195i | ||||
\(645\) | 13.0269 | + | 17.9300i | 0.512934 | + | 0.705993i | ||||
\(646\) | −3.70114 | − | 6.16983i | −0.145619 | − | 0.242749i | ||||
\(647\) | −39.0933 | + | 12.7022i | −1.53692 | + | 0.499374i | −0.950523 | − | 0.310653i | \(-0.899452\pi\) |
−0.586393 | + | 0.810027i | \(0.699452\pi\) | |||||||
\(648\) | −7.62022 | + | 2.90617i | −0.299351 | + | 0.114165i | ||||
\(649\) | 31.6643 | + | 34.2959i | 1.24293 | + | 1.34623i | ||||
\(650\) | −0.168721 | − | 0.0717621i | −0.00661780 | − | 0.00281474i | ||||
\(651\) | −4.82296 | − | 14.8435i | −0.189027 | − | 0.581764i | ||||
\(652\) | 21.3293 | − | 2.96617i | 0.835318 | − | 0.116164i | ||||
\(653\) | −3.70761 | + | 2.69374i | −0.145090 | + | 0.105414i | −0.657962 | − | 0.753051i | \(-0.728581\pi\) |
0.512872 | + | 0.858465i | \(0.328581\pi\) | |||||||
\(654\) | 36.5265 | + | 31.7985i | 1.42830 | + | 1.24342i | ||||
\(655\) | 14.7874 | − | 45.5109i | 0.577791 | − | 1.77826i | ||||
\(656\) | 18.5874 | − | 12.4593i | 0.725718 | − | 0.486453i | ||||
\(657\) | 11.0545 | − | 15.2152i | 0.431278 | − | 0.593603i | ||||
\(658\) | −1.22913 | + | 13.9329i | −0.0479164 | + | 0.543161i | ||||
\(659\) | 38.0732 | 1.48312 | 0.741560 | − | 0.670886i | \(-0.234086\pi\) | ||||
0.741560 | + | 0.670886i | \(0.234086\pi\) | |||||||
\(660\) | −22.6870 | − | 35.4306i | −0.883092 | − | 1.37913i | ||||
\(661\) | −9.34038 | −0.363299 | −0.181649 | − | 0.983363i | \(-0.558144\pi\) | ||||
−0.181649 | + | 0.983363i | \(0.558144\pi\) | |||||||
\(662\) | 0.551092 | − | 6.24696i | 0.0214188 | − | 0.242795i | ||||
\(663\) | 1.39222 | − | 1.91622i | 0.0540692 | − | 0.0744198i | ||||
\(664\) | −5.81126 | + | 8.90617i | −0.225521 | + | 0.345627i | ||||
\(665\) | −1.59544 | + | 4.91025i | −0.0618684 | + | 0.190411i | ||||
\(666\) | 24.4748 | + | 21.3067i | 0.948377 | + | 0.825617i | ||||
\(667\) | −3.50530 | + | 2.54675i | −0.135726 | + | 0.0986104i | ||||
\(668\) | 1.76914 | + | 12.7216i | 0.0684501 | + | 0.492214i | ||||
\(669\) | 9.10685 | + | 28.0280i | 0.352091 | + | 1.08363i | ||||
\(670\) | −31.6481 | − | 13.4609i | −1.22267 | − | 0.520039i | ||||
\(671\) | −30.7260 | − | 6.13113i | −1.18616 | − | 0.236689i | ||||
\(672\) | 8.45810 | − | 17.9685i | 0.326278 | − | 0.693148i | ||||
\(673\) | 13.4864 | − | 4.38199i | 0.519862 | − | 0.168913i | −0.0373208 | − | 0.999303i | \(-0.511882\pi\) |
0.557183 | + | 0.830390i | \(0.311882\pi\) | |||||||
\(674\) | −12.9217 | − | 21.5406i | −0.497724 | − | 0.829711i | ||||
\(675\) | −0.983004 | − | 1.35299i | −0.0378358 | − | 0.0520766i | ||||
\(676\) | −23.2301 | + | 11.2885i | −0.893467 | + | 0.434174i | ||||
\(677\) | −4.48196 | − | 1.45628i | −0.172256 | − | 0.0559692i | 0.221619 | − | 0.975133i | \(-0.428866\pi\) |
−0.393875 | + | 0.919164i | \(0.628866\pi\) | |||||||
\(678\) | 9.97033 | − | 2.29424i | 0.382908 | − | 0.0881096i | ||||
\(679\) | −8.69775 | − | 6.31929i | −0.333789 | − | 0.242512i | ||||
\(680\) | 15.2459 | − | 12.2912i | 0.584652 | − | 0.471345i | ||||
\(681\) | − | 65.2454i | − | 2.50021i | ||||||
\(682\) | 19.6347 | − | 7.02012i | 0.751851 | − | 0.268814i | ||||
\(683\) | 18.0462i | 0.690519i | 0.938507 | + | 0.345260i | \(0.112209\pi\) | ||||
−0.938507 | + | 0.345260i | \(0.887791\pi\) | |||||||
\(684\) | 7.08859 | − | 13.2853i | 0.271039 | − | 0.507976i | ||||
\(685\) | −11.8243 | − | 8.59084i | −0.451782 | − | 0.328239i | ||||
\(686\) | −5.05010 | − | 21.9468i | −0.192814 | − | 0.837934i | ||||
\(687\) | 63.5633 | + | 20.6530i | 2.42509 | + | 0.787960i | ||||
\(688\) | −13.1203 | − | 4.81846i | −0.500209 | − | 0.183702i | ||||
\(689\) | −0.270650 | − | 0.372518i | −0.0103109 | − | 0.0141918i | ||||
\(690\) | 4.04390 | − | 2.42584i | 0.153949 | − | 0.0923501i | ||||
\(691\) | −1.27888 | + | 0.415533i | −0.0486509 | + | 0.0158076i | −0.333241 | − | 0.942842i | \(-0.608142\pi\) |
0.284590 | + | 0.958649i | \(0.408142\pi\) | |||||||
\(692\) | −5.21216 | + | 5.01877i | −0.198137 | + | 0.190785i | ||||
\(693\) | −16.4068 | − | 9.20132i | −0.623244 | − | 0.349529i | ||||
\(694\) | −2.14791 | + | 5.05000i | −0.0815336 | + | 0.191695i | ||||
\(695\) | 9.71740 | + | 29.9071i | 0.368602 | + | 1.13444i | ||||
\(696\) | −61.1830 | − | 16.5363i | −2.31914 | − | 0.626808i | ||||
\(697\) | 13.4330 | − | 9.75964i | 0.508811 | − | 0.369673i | ||||
\(698\) | 18.3098 | − | 21.0322i | 0.693034 | − | 0.796081i | ||||
\(699\) | 12.0187 | − | 36.9896i | 0.454587 | − | 1.39908i | ||||
\(700\) | −1.12309 | − | 0.199708i | −0.0424490 | − | 0.00754824i | ||||
\(701\) | −9.79382 | + | 13.4800i | −0.369907 | + | 0.509134i | −0.952876 | − | 0.303361i | \(-0.901891\pi\) |
0.582968 | + | 0.812495i | \(0.301891\pi\) | |||||||
\(702\) | 1.56545 | + | 0.138101i | 0.0590842 | + | 0.00521227i | ||||
\(703\) | 8.95393 | 0.337704 | ||||||||
\(704\) | 24.3262 | + | 10.5942i | 0.916827 | + | 0.399284i | ||||
\(705\) | −48.5817 | −1.82969 | ||||||||
\(706\) | 2.24868 | + | 0.198373i | 0.0846300 | + | 0.00746587i | ||||
\(707\) | −5.83090 | + | 8.02554i | −0.219293 | + | 0.301832i | ||||
\(708\) | −75.3498 | − | 13.3987i | −2.83182 | − | 0.503552i | ||||
\(709\) | 7.43557 | − | 22.8843i | 0.279249 | − | 0.859440i | −0.708815 | − | 0.705394i | \(-0.750770\pi\) |
0.988064 | − | 0.154045i | \(-0.0492301\pi\) | |||||||
\(710\) | −7.78726 | + | 8.94514i | −0.292251 | + | 0.335705i | ||||
\(711\) | −35.0036 | + | 25.4316i | −1.31274 | + | 0.953761i | ||||
\(712\) | −1.63323 | − | 0.441423i | −0.0612077 | − | 0.0165430i | ||||
\(713\) | 0.722245 | + | 2.22284i | 0.0270483 | + | 0.0832460i | ||||
\(714\) | 5.76771 | − | 13.5606i | 0.215851 | − | 0.507493i | ||||
\(715\) | −0.265540 | − | 2.25523i | −0.00993063 | − | 0.0843410i | ||||
\(716\) | −7.21459 | + | 6.94690i | −0.269622 | + | 0.259618i | ||||
\(717\) | −51.1063 | + | 16.6054i | −1.90860 | + | 0.620141i | ||||
\(718\) | −18.7038 | + | 11.2200i | −0.698019 | + | 0.418725i | ||||
\(719\) | −6.65923 | − | 9.16564i | −0.248347 | − | 0.341821i | 0.666584 | − | 0.745430i | \(-0.267756\pi\) |
−0.914932 | + | 0.403609i | \(0.867756\pi\) | |||||||
\(720\) | 38.4739 | + | 14.1296i | 1.43384 | + | 0.526578i | ||||
\(721\) | −0.506426 | − | 0.164548i | −0.0188603 | − | 0.00612808i | ||||
\(722\) | 5.09376 | + | 22.1365i | 0.189570 | + | 0.823837i | ||||
\(723\) | 14.3649 | + | 10.4367i | 0.534237 | + | 0.388146i | ||||
\(724\) | 9.22850 | − | 17.2959i | 0.342975 | − | 0.642796i | ||||
\(725\) | 3.64037i | 0.135200i | ||||||||
\(726\) | 19.6028 | − | 37.4795i | 0.727530 | − | 1.39100i | ||||
\(727\) | − | 0.700673i | − | 0.0259865i | −0.999916 | − | 0.0129933i | \(-0.995864\pi\) | ||
0.999916 | − | 0.0129933i | \(-0.00413600\pi\) | |||||||
\(728\) | 0.834501 | − | 0.672772i | 0.0309287 | − | 0.0249346i | ||||
\(729\) | −35.2308 | − | 25.5967i | −1.30485 | − | 0.948026i | ||||
\(730\) | 13.7654 | − | 3.16750i | 0.509480 | − | 0.117235i | ||||
\(731\) | −9.86371 | − | 3.20491i | −0.364823 | − | 0.118538i | ||||
\(732\) | 46.2040 | − | 22.4525i | 1.70775 | − | 0.829869i | ||||
\(733\) | 17.6206 | + | 24.2526i | 0.650830 | + | 0.895790i | 0.999135 | − | 0.0415908i | \(-0.0132426\pi\) |
−0.348305 | + | 0.937381i | \(0.613243\pi\) | |||||||
\(734\) | 7.67653 | + | 12.7968i | 0.283346 | + | 0.472340i | ||||
\(735\) | 32.1678 | − | 10.4519i | 1.18653 | − | 0.385526i | ||||
\(736\) | −1.26661 | + | 2.69080i | −0.0466879 | + | 0.0991843i | ||||
\(737\) | −4.04313 | − | 34.3383i | −0.148930 | − | 1.26487i | ||||
\(738\) | 31.9786 | + | 13.6014i | 1.17715 | + | 0.500676i | ||||
\(739\) | −13.4812 | − | 41.4910i | −0.495915 | − | 1.52627i | −0.815526 | − | 0.578721i | \(-0.803552\pi\) |
0.319611 | − | 0.947549i | \(-0.396448\pi\) | |||||||
\(740\) | 3.35694 | + | 24.1392i | 0.123404 | + | 0.887376i | ||||
\(741\) | 1.10662 | − | 0.804008i | 0.0406528 | − | 0.0295360i | ||||
\(742\) | −2.16070 | − | 1.88101i | −0.0793218 | − | 0.0690542i | ||||
\(743\) | 10.5703 | − | 32.5321i | 0.387788 | − | 1.19349i | −0.546650 | − | 0.837361i | \(-0.684097\pi\) |
0.934438 | − | 0.356127i | \(-0.115903\pi\) | |||||||
\(744\) | −18.6824 | + | 28.6321i | −0.684929 | + | 1.04970i | ||||
\(745\) | −23.9268 | + | 32.9324i | −0.876610 | + | 1.20655i | ||||
\(746\) | 4.65977 | − | 52.8213i | 0.170606 | − | 1.93392i | ||||
\(747\) | −16.5151 | −0.604255 | ||||||||
\(748\) | 18.3347 | + | 7.17332i | 0.670382 | + | 0.262283i | ||||
\(749\) | −6.68321 | −0.244199 | ||||||||
\(750\) | −3.59296 | + | 40.7283i | −0.131196 | + | 1.48719i | ||||
\(751\) | 0.851372 | − | 1.17181i | 0.0310670 | − | 0.0427600i | −0.793201 | − | 0.608960i | \(-0.791587\pi\) |
0.824268 | + | 0.566200i | \(0.191587\pi\) | |||||||
\(752\) | 25.4500 | − | 17.0593i | 0.928068 | − | 0.622090i | ||||
\(753\) | −4.00819 | + | 12.3359i | −0.146067 | + | 0.449546i | ||||
\(754\) | −2.58011 | − | 2.24614i | −0.0939621 | − | 0.0817995i | ||||
\(755\) | −18.5411 | + | 13.4709i | −0.674780 | + | 0.490257i | ||||
\(756\) | 9.68417 | − | 1.34674i | 0.352210 | − | 0.0489803i | ||||
\(757\) | 9.41100 | + | 28.9641i | 0.342049 | + | 1.05272i | 0.963145 | + | 0.268983i | \(0.0866875\pi\) |
−0.621096 | + | 0.783734i | \(0.713312\pi\) | |||||||
\(758\) | 27.7573 | + | 11.8060i | 1.00819 | + | 0.428812i | ||||
\(759\) | 4.13500 | + | 2.31900i | 0.150091 | + | 0.0841744i | ||||
\(760\) | 10.5671 | − | 4.03002i | 0.383308 | − | 0.146184i | ||||
\(761\) | 22.8716 | − | 7.43142i | 0.829094 | − | 0.269389i | 0.136430 | − | 0.990650i | \(-0.456437\pi\) |
0.692664 | + | 0.721261i | \(0.256437\pi\) | |||||||
\(762\) | 39.4925 | + | 65.8345i | 1.43066 | + | 2.38493i | ||||
\(763\) | 9.55895 | + | 13.1568i | 0.346057 | + | 0.476307i | ||||
\(764\) | −10.2184 | − | 21.0280i | −0.369690 | − | 0.760768i | ||||
\(765\) | 28.9242 | + | 9.39804i | 1.04576 | + | 0.339787i | ||||
\(766\) | −39.7351 | + | 9.14329i | −1.43569 | + | 0.330360i | ||||
\(767\) | −3.34188 | − | 2.42802i | −0.120668 | − | 0.0876707i | ||||
\(768\) | −42.2706 | + | 10.2798i | −1.52531 | + | 0.370939i | ||||
\(769\) | − | 14.6461i | − | 0.528151i | −0.964502 | − | 0.264076i | \(-0.914933\pi\) | ||
0.964502 | − | 0.264076i | \(-0.0850669\pi\) | |||||||
\(770\) | −4.75640 | − | 13.3032i | −0.171409 | − | 0.479416i | ||||
\(771\) | 8.25715i | 0.297374i | ||||||||
\(772\) | −2.03729 | − | 1.08703i | −0.0733236 | − | 0.0391231i | ||||
\(773\) | 21.4727 | + | 15.6009i | 0.772320 | + | 0.561124i | 0.902664 | − | 0.430345i | \(-0.141608\pi\) |
−0.130344 | + | 0.991469i | \(0.541608\pi\) | |||||||
\(774\) | −4.86755 | − | 21.1535i | −0.174961 | − | 0.760347i | ||||
\(775\) | 1.86761 | + | 0.606824i | 0.0670866 | + | 0.0217977i | ||||
\(776\) | 1.18147 | + | 23.5205i | 0.0424125 | + | 0.844337i | ||||
\(777\) | 10.7795 | + | 14.8367i | 0.386713 | + | 0.532265i | ||||
\(778\) | −42.2995 | + | 25.3745i | −1.51651 | + | 0.909720i | ||||
\(779\) | 9.11960 | − | 2.96314i | 0.326743 | − | 0.106165i | ||||
\(780\) | 2.58244 | + | 2.68195i | 0.0924662 | + | 0.0960293i | ||||
\(781\) | −11.6927 | − | 2.33319i | −0.418398 | − | 0.0834880i | ||||
\(782\) | −0.863723 | + | 2.03072i | −0.0308867 | + | 0.0726184i | ||||
\(783\) | −9.64214 | − | 29.6755i | −0.344582 | − | 1.06051i | ||||
\(784\) | −13.1813 | + | 16.7710i | −0.470759 | + | 0.598964i | ||||
\(785\) | 29.0712 | − | 21.1214i | 1.03759 | − | 0.753857i | ||||
\(786\) | −51.7912 | + | 59.4920i | −1.84733 | + | 2.12201i | ||||
\(787\) | 6.33834 | − | 19.5074i | 0.225937 | − | 0.695364i | −0.772258 | − | 0.635309i | \(-0.780873\pi\) |
0.998195 | − | 0.0600544i | \(-0.0191274\pi\) | |||||||
\(788\) | 5.47095 | − | 30.7669i | 0.194895 | − | 1.09603i | ||||
\(789\) | 22.6410 | − | 31.1626i | 0.806040 | − | 1.10942i | ||||
\(790\) | −32.3700 | − | 2.85561i | −1.15167 | − | 0.101598i | ||||
\(791\) | 3.43560 | 0.122156 | ||||||||
\(792\) | 6.86534 | + | 40.6294i | 0.243949 | + | 1.44370i | ||||
\(793\) | 2.77271 | 0.0984620 | ||||||||
\(794\) | −23.8221 | − | 2.10153i | −0.845414 | − | 0.0745805i | ||||
\(795\) | 5.84864 | − | 8.04996i | 0.207430 | − | 0.285503i | ||||
\(796\) | −3.84052 | + | 21.5979i | −0.136124 | + | 0.765518i | ||||
\(797\) | −10.1514 | + | 31.2427i | −0.359580 | + | 1.10667i | 0.593726 | + | 0.804667i | \(0.297656\pi\) |
−0.953306 | + | 0.302006i | \(0.902344\pi\) | |||||||
\(798\) | 5.58784 | − | 6.41869i | 0.197808 | − | 0.227219i | ||||
\(799\) | 18.3925 | − | 13.3630i | 0.650682 | − | 0.472748i | ||||
\(800\) | 1.20350 | + | 2.18981i | 0.0425501 | + | 0.0774215i | ||||
\(801\) | −0.811905 | − | 2.49879i | −0.0286873 | − | 0.0882903i | ||||
\(802\) | −8.77880 | + | 20.6400i | −0.309990 | + | 0.728825i | ||||
\(803\) | 9.63304 | + | 10.4336i | 0.339942 | + | 0.368195i | ||||
\(804\) | 39.3204 | + | 40.8356i | 1.38672 | + | 1.44016i | ||||
\(805\) | 1.50606 | − | 0.489348i | 0.0530816 | − | 0.0172473i | ||||
\(806\) | −1.58242 | + | 0.949255i | −0.0557383 | + | 0.0334361i | ||||
\(807\) | 1.60094 | + | 2.20350i | 0.0563557 | + | 0.0775670i | ||||
\(808\) | 21.7027 | − | 1.09016i | 0.763499 | − | 0.0383518i | ||||
\(809\) | 17.7783 | + | 5.77654i | 0.625053 | + | 0.203092i | 0.604383 | − | 0.796694i | \(-0.293420\pi\) |
0.0206708 | + | 0.999786i | \(0.493420\pi\) | |||||||
\(810\) | −2.13313 | − | 9.27021i | −0.0749507 | − | 0.325722i | ||||
\(811\) | −22.1490 | − | 16.0922i | −0.777758 | − | 0.565074i | 0.126547 | − | 0.991961i | \(-0.459610\pi\) |
−0.904305 | + | 0.426886i | \(0.859610\pi\) | |||||||
\(812\) | −18.7772 | − | 10.0189i | −0.658950 | − | 0.351594i | ||||
\(813\) | − | 48.3724i | − | 1.69650i | ||||||
\(814\) | −19.3932 | + | 14.9746i | −0.679730 | + | 0.524860i | ||||
\(815\) | 25.1173i | 0.879821i | ||||||||
\(816\) | −31.0549 | + | 8.80768i | −1.08714 | + | 0.308331i | ||||
\(817\) | −4.84558 | − | 3.52052i | −0.169525 | − | 0.123167i | ||||
\(818\) | 38.1402 | − | 8.77630i | 1.33354 | − | 0.306856i | ||||
\(819\) | 1.58320 | + | 0.514413i | 0.0553215 | + | 0.0179750i | ||||
\(820\) | 11.4075 | + | 23.4749i | 0.398366 | + | 0.819780i | ||||
\(821\) | 5.06427 | + | 6.97036i | 0.176744 | + | 0.243267i | 0.888193 | − | 0.459470i | \(-0.151961\pi\) |
−0.711449 | + | 0.702738i | \(0.751961\pi\) | |||||||
\(822\) | 12.3930 | + | 20.6592i | 0.432255 | + | 0.720573i | ||||
\(823\) | −3.63990 | + | 1.18267i | −0.126879 | + | 0.0412254i | −0.371768 | − | 0.928326i | \(-0.621248\pi\) |
0.244889 | + | 0.969551i | \(0.421248\pi\) | |||||||
\(824\) | 0.415643 | + | 1.08985i | 0.0144796 | + | 0.0379667i | ||||
\(825\) | 3.61837 | − | 1.66543i | 0.125975 | − | 0.0579830i | ||||
\(826\) | −23.6496 | − | 10.0589i | −0.822876 | − | 0.349993i | ||||
\(827\) | −8.45284 | − | 26.0152i | −0.293934 | − | 0.904636i | −0.983577 | − | 0.180487i | \(-0.942233\pi\) |
0.689643 | − | 0.724149i | \(-0.257767\pi\) | |||||||
\(828\) | −4.57456 | + | 0.636165i | −0.158977 | + | 0.0221083i | ||||
\(829\) | −14.2443 | + | 10.3491i | −0.494723 | + | 0.359438i | −0.806998 | − | 0.590554i | \(-0.798909\pi\) |
0.312274 | + | 0.949992i | \(0.398909\pi\) | |||||||
\(830\) | −9.35530 | − | 8.14433i | −0.324727 | − | 0.282694i | ||||
\(831\) | −16.2885 | + | 50.1309i | −0.565043 | + | 1.73902i | ||||
\(832\) | −2.29460 | − | 0.498152i | −0.0795509 | − | 0.0172703i | ||||
\(833\) | −9.30347 | + | 12.8051i | −0.322346 | + | 0.443671i | ||||
\(834\) | 4.55494 | − | 51.6329i | 0.157725 | − | 1.78790i | ||||
\(835\) | −14.9810 | −0.518438 | ||||||||
\(836\) | 8.78996 | + | 7.21183i | 0.304007 | + | 0.249426i | ||||
\(837\) | −16.8316 | −0.581786 | ||||||||
\(838\) | 2.85474 | − | 32.3602i | 0.0986154 | − | 1.11786i | ||||
\(839\) | −0.148971 | + | 0.205041i | −0.00514306 | + | 0.00707881i | −0.811581 | − | 0.584240i | \(-0.801393\pi\) |
0.806438 | + | 0.591319i | \(0.201393\pi\) | |||||||
\(840\) | 19.3993 | + | 12.6580i | 0.669341 | + | 0.436743i | ||||
\(841\) | −12.0270 | + | 37.0154i | −0.414726 | + | 1.27639i | ||||
\(842\) | −32.1164 | − | 27.9592i | −1.10680 | − | 0.963536i | ||||
\(843\) | 32.3268 | − | 23.4868i | 1.11340 | − | 0.808929i | ||||
\(844\) | −5.31779 | − | 38.2394i | −0.183046 | − | 1.31625i | ||||
\(845\) | −9.30907 | − | 28.6504i | −0.320242 | − | 0.985603i | ||||
\(846\) | 43.7853 | + | 18.6232i | 1.50537 | + | 0.640278i | ||||
\(847\) | 9.23746 | − | 10.7892i | 0.317403 | − | 0.370721i | ||||
\(848\) | −0.237151 | + | 6.27079i | −0.00814381 | + | 0.215340i | ||||
\(849\) | 6.45654 | − | 2.09786i | 0.221588 | − | 0.0719983i | ||||
\(850\) | 0.953787 | + | 1.58997i | 0.0327146 | + | 0.0545356i | ||||
\(851\) | −1.61425 | − | 2.22182i | −0.0553358 | − | 0.0761632i | ||||
\(852\) | 17.5828 | − | 8.54426i | 0.602378 | − | 0.292721i | ||||
\(853\) | −35.2985 | − | 11.4692i | −1.20860 | − | 0.392697i | −0.365680 | − | 0.930741i | \(-0.619163\pi\) |
−0.842917 | + | 0.538044i | \(0.819163\pi\) | |||||||
\(854\) | 16.8112 | − | 3.86837i | 0.575269 | − | 0.132373i | ||||
\(855\) | 14.2091 | + | 10.3235i | 0.485941 | + | 0.353057i | ||||
\(856\) | 9.18830 | + | 11.3971i | 0.314050 | + | 0.389545i | ||||
\(857\) | 20.9360i | 0.715161i | 0.933882 | + | 0.357580i | \(0.116398\pi\) | ||||
−0.933882 | + | 0.357580i | \(0.883602\pi\) | |||||||
\(858\) | −1.05219 | + | 3.59211i | −0.0359210 | + | 0.122633i | ||||
\(859\) | 20.6926i | 0.706022i | 0.935619 | + | 0.353011i | \(0.114842\pi\) | ||||
−0.935619 | + | 0.353011i | \(0.885158\pi\) | |||||||
\(860\) | 7.67443 | − | 14.3833i | 0.261696 | − | 0.490465i | ||||
\(861\) | 15.8889 | + | 11.5440i | 0.541493 | + | 0.393417i | ||||
\(862\) | −3.22624 | − | 14.0207i | −0.109886 | − | 0.477546i | ||||
\(863\) | −35.9307 | − | 11.6746i | −1.22309 | − | 0.397408i | −0.374887 | − | 0.927071i | \(-0.622318\pi\) |
−0.848208 | + | 0.529663i | \(0.822318\pi\) | |||||||
\(864\) | −15.6107 | − | 14.6632i | −0.531088 | − | 0.498852i | ||||
\(865\) | −4.96060 | − | 6.82768i | −0.168666 | − | 0.232148i | ||||
\(866\) | 33.3929 | − | 20.0316i | 1.13474 | − | 0.680702i | ||||
\(867\) | 21.1794 | − | 6.88161i | 0.719290 | − | 0.233712i | ||||
\(868\) | −8.27000 | + | 7.96315i | −0.280702 | + | 0.270287i | ||||
\(869\) | −13.6594 | − | 29.6767i | −0.463362 | − | 1.00671i | ||||
\(870\) | 28.9332 | − | 68.0254i | 0.980926 | − | 2.30628i | ||||
\(871\) | 0.945523 | + | 2.91002i | 0.0320378 | + | 0.0986023i | ||||
\(872\) | 9.29469 | − | 34.3895i | 0.314758 | − | 1.16458i | ||||
\(873\) | −29.5882 | + | 21.4971i | −1.00141 | + | 0.727566i | ||||
\(874\) | −0.836788 | + | 0.961209i | −0.0283048 | + | 0.0325134i | ||||
\(875\) | −4.24279 | + | 13.0580i | −0.143433 | + | 0.441440i | ||||
\(876\) | −22.9232 | − | 4.07619i | −0.774503 | − | 0.137722i | ||||
\(877\) | 6.81007 | − | 9.37325i | 0.229960 | − | 0.316512i | −0.678408 | − | 0.734686i | \(-0.737330\pi\) |
0.908367 | + | 0.418173i | \(0.137330\pi\) | |||||||
\(878\) | 16.2623 | + | 1.43462i | 0.548826 | + | 0.0484161i | ||||
\(879\) | −20.4432 | −0.689532 | ||||||||
\(880\) | −16.1472 | + | 26.4010i | −0.544321 | + | 0.889976i | ||||
\(881\) | −24.6157 | −0.829325 | −0.414662 | − | 0.909975i | \(-0.636100\pi\) | ||||
−0.414662 | + | 0.909975i | \(0.636100\pi\) | |||||||
\(882\) | −32.9985 | − | 2.91106i | −1.11112 | − | 0.0980203i | ||||
\(883\) | −23.0095 | + | 31.6699i | −0.774333 | + | 1.06578i | 0.221552 | + | 0.975149i | \(0.428888\pi\) |
−0.995885 | + | 0.0906289i | \(0.971112\pi\) | |||||||
\(884\) | −1.71539 | − | 0.305029i | −0.0576947 | − | 0.0102592i | ||||
\(885\) | 27.5843 | − | 84.8959i | 0.927237 | − | 2.85374i | ||||
\(886\) | 15.7773 | − | 18.1232i | 0.530047 | − | 0.608860i | ||||
\(887\) | 38.4919 | − | 27.9660i | 1.29243 | − | 0.939006i | 0.292580 | − | 0.956241i | \(-0.405486\pi\) |
0.999851 | + | 0.0172350i | \(0.00548633\pi\) | |||||||
\(888\) | 10.4815 | − | 38.7807i | 0.351737 | − | 1.30140i | ||||
\(889\) | 7.96657 | + | 24.5186i | 0.267190 | + | 0.822326i | ||||
\(890\) | 0.772346 | − | 1.81588i | 0.0258891 | − | 0.0608684i | ||||
\(891\) | 7.02646 | − | 6.48731i | 0.235395 | − | 0.217333i | ||||
\(892\) | 15.6157 | − | 15.0363i | 0.522851 | − | 0.503451i | ||||
\(893\) | 12.4866 | − | 4.05715i | 0.417848 | − | 0.135767i | ||||
\(894\) | 57.5391 | − | 34.5163i | 1.92439 | − | 1.15440i | ||||
\(895\) | −6.86639 | − | 9.45077i | −0.229518 | − | 0.315904i | ||||
\(896\) | −14.6074 | + | 0.180981i | −0.487998 | + | 0.00604616i | ||||
\(897\) | −0.399012 | − | 0.129647i | −0.0133226 | − | 0.00432879i | ||||
\(898\) | −1.93979 | − | 8.42997i | −0.0647316 | − | 0.281312i | ||||
\(899\) | 29.6410 | + | 21.5354i | 0.988581 | + | 0.718246i | ||||
\(900\) | −1.82674 | + | 3.42363i | −0.0608913 | + | 0.114121i | ||||
\(901\) | 4.65637i | 0.155126i | ||||||||
\(902\) | −14.7964 | + | 21.6695i | −0.492666 | + | 0.721514i | ||||
\(903\) | − | 12.2675i | − | 0.408236i | ||||||
\(904\) | −4.72338 | − | 5.85884i | −0.157097 | − | 0.194862i | ||||
\(905\) | 18.4986 | + | 13.4400i | 0.614913 | + | 0.446760i | ||||
\(906\) | 36.8144 | − | 8.47122i | 1.22308 | − | 0.281437i | ||||
\(907\) | −3.43208 | − | 1.11515i | −0.113960 | − | 0.0370279i | 0.251482 | − | 0.967862i | \(-0.419082\pi\) |
−0.365442 | + | 0.930834i | \(0.619082\pi\) | |||||||
\(908\) | −43.1668 | + | 20.9766i | −1.43254 | + | 0.696133i | ||||
\(909\) | 19.8357 | + | 27.3015i | 0.657908 | + | 0.905532i | ||||
\(910\) | 0.643156 | + | 1.07215i | 0.0213204 | + | 0.0355414i | ||||
\(911\) | −29.8894 | + | 9.71164i | −0.990278 | + | 0.321761i | −0.758974 | − | 0.651121i | \(-0.774299\pi\) |
−0.231304 | + | 0.972881i | \(0.574299\pi\) | |||||||
\(912\) | −18.6283 | − | 0.704495i | −0.616846 | − | 0.0233282i | ||||
\(913\) | 2.44017 | − | 12.2289i | 0.0807579 | − | 0.404716i | ||||
\(914\) | 8.48995 | + | 3.61102i | 0.280823 | + | 0.119442i | ||||
\(915\) | 18.5154 | + | 56.9847i | 0.612102 | + | 1.88386i | ||||
\(916\) | −6.77166 | − | 48.6940i | −0.223742 | − | 1.60889i | ||||
\(917\) | −21.4289 | + | 15.5690i | −0.707643 | + | 0.514133i | ||||
\(918\) | −11.9864 | − | 10.4348i | −0.395609 | − | 0.344401i | ||||
\(919\) | −8.08812 | + | 24.8927i | −0.266802 | + | 0.821133i | 0.724470 | + | 0.689306i | \(0.242084\pi\) |
−0.991273 | + | 0.131827i | \(0.957916\pi\) | |||||||
\(920\) | −2.90508 | − | 1.89556i | −0.0957776 | − | 0.0624947i | ||||
\(921\) | −41.2305 | + | 56.7489i | −1.35859 | + | 1.86994i | ||||
\(922\) | −2.37220 | + | 26.8903i | −0.0781244 | + | 0.885586i | ||||
\(923\) | 1.05515 | 0.0347307 | ||||||||
\(924\) | −1.36795 | + | 23.2473i | −0.0450023 | + | 0.764779i | ||||
\(925\) | −2.30744 | −0.0758681 | ||||||||
\(926\) | −1.62005 | + | 18.3642i | −0.0532381 | + | 0.603486i | ||||
\(927\) | −1.06473 | + | 1.46548i | −0.0349704 | + | 0.0481326i | ||||
\(928\) | 8.72997 | + | 45.7956i | 0.286575 | + | 1.50331i | ||||
\(929\) | 8.71671 | − | 26.8273i | 0.285986 | − | 0.880175i | −0.700115 | − | 0.714030i | \(-0.746868\pi\) |
0.986101 | − | 0.166145i | \(-0.0531320\pi\) | |||||||
\(930\) | −30.0760 | − | 26.1829i | −0.986231 | − | 0.858571i | ||||
\(931\) | −7.39499 | + | 5.37278i | −0.242361 | + | 0.176086i | ||||
\(932\) | −28.3367 | + | 3.94066i | −0.928198 | + | 0.129080i | ||||
\(933\) | 2.49063 | + | 7.66538i | 0.0815397 | + | 0.250953i | ||||
\(934\) | −19.7522 | − | 8.40119i | −0.646312 | − | 0.274895i | ||||
\(935\) | −11.2326 | + | 20.0288i | −0.367346 | + | 0.655013i | ||||
\(936\) | −1.29939 | − | 3.40711i | −0.0424719 | − | 0.111365i | ||||
\(937\) | 20.4298 | − | 6.63805i | 0.667413 | − | 0.216856i | 0.0443365 | − | 0.999017i | \(-0.485883\pi\) |
0.623076 | + | 0.782161i | \(0.285883\pi\) | |||||||
\(938\) | 9.79274 | + | 16.3246i | 0.319744 | + | 0.533017i | ||||
\(939\) | 0.965265 | + | 1.32857i | 0.0315002 | + | 0.0433563i | ||||
\(940\) | 15.6192 | + | 32.1420i | 0.509442 | + | 1.04836i | ||||
\(941\) | 27.2146 | + | 8.84257i | 0.887172 | + | 0.288260i | 0.716932 | − | 0.697143i | \(-0.245546\pi\) |
0.170240 | + | 0.985403i | \(0.445546\pi\) | |||||||
\(942\) | −57.7223 | + | 13.2823i | −1.88070 | + | 0.432760i | ||||
\(943\) | −2.37939 | − | 1.72873i | −0.0774835 | − | 0.0562951i | ||||
\(944\) | 15.3606 | + | 54.1597i | 0.499944 | + | 1.76275i | ||||
\(945\) | 11.4041i | 0.370974i | ||||||||
\(946\) | 16.3827 | − | 0.478743i | 0.532647 | − | 0.0155653i | ||||
\(947\) | 0.894236i | 0.0290588i | 0.999894 | + | 0.0145294i | \(0.00462501\pi\) | ||||
−0.999894 | + | 0.0145294i | \(0.995375\pi\) | |||||||
\(948\) | 47.2574 | + | 25.2150i | 1.53485 | + | 0.818944i | ||||
\(949\) | −1.01668 | − | 0.738661i | −0.0330028 | − | 0.0239779i | ||||
\(950\) | 0.240112 | + | 1.04348i | 0.00779027 | + | 0.0338551i | ||||
\(951\) | −59.3333 | − | 19.2786i | −1.92402 | − | 0.625150i | ||||
\(952\) | −10.8261 | + | 0.543815i | −0.350877 | + | 0.0176251i | ||||
\(953\) | −5.07423 | − | 6.98407i | −0.164370 | − | 0.226236i | 0.718885 | − | 0.695129i | \(-0.244653\pi\) |
−0.883255 | + | 0.468893i | \(0.844653\pi\) | |||||||
\(954\) | −8.35706 | + | 5.01320i | −0.270570 | + | 0.162308i | ||||
\(955\) | 25.9344 | − | 8.42661i | 0.839219 | − | 0.272679i | ||||
\(956\) | 27.4171 | + | 28.4736i | 0.886733 | + | 0.920902i | ||||
\(957\) | 73.8078 | − | 8.69041i | 2.38587 | − | 0.280921i | ||||
\(958\) | 14.5045 | − | 34.1018i | 0.468618 | − | 1.10178i | ||||
\(959\) | 2.49995 | + | 7.69406i | 0.0807277 | + | 0.248454i | ||||
\(960\) | −5.08472 | − | 50.4850i | −0.164109 | − | 1.62940i | ||||
\(961\) | −9.09031 | + | 6.60449i | −0.293236 | + | 0.213048i | ||||
\(962\) | 1.42371 | − | 1.63540i | 0.0459022 | − | 0.0527274i | ||||
\(963\) | −7.02553 | + | 21.6224i | −0.226395 | + | 0.696771i | ||||
\(964\) | 2.28664 | − | 12.8594i | 0.0736478 | − | 0.414172i | ||||
\(965\) | 1.58310 | − | 2.17895i | 0.0509619 | − | 0.0701430i | ||||
\(966\) | −2.60013 | − | 0.229377i | −0.0836578 | − | 0.00738010i | ||||
\(967\) | −23.2776 | −0.748557 | −0.374278 | − | 0.927316i | \(-0.622110\pi\) | ||||
−0.374278 | + | 0.927316i | \(0.622110\pi\) | |||||||
\(968\) | −31.0991 | − | 0.919604i | −0.999563 | − | 0.0295572i | ||||
\(969\) | −13.8325 | −0.444363 | ||||||||
\(970\) | −27.3620 | − | 2.41382i | −0.878542 | − | 0.0775030i | ||||
\(971\) | 18.9657 | − | 26.1040i | 0.608638 | − | 0.837718i | −0.387827 | − | 0.921732i | \(-0.626774\pi\) |
0.996465 | + | 0.0840143i | \(0.0267742\pi\) | |||||||
\(972\) | −6.72214 | + | 37.8032i | −0.215613 | + | 1.21254i | ||||
\(973\) | 5.37876 | − | 16.5541i | 0.172435 | − | 0.530701i | ||||
\(974\) | 25.3053 | − | 29.0680i | 0.810835 | − | 0.931398i | ||||
\(975\) | −0.285178 | + | 0.207194i | −0.00913300 | + | 0.00663551i | ||||
\(976\) | −29.7095 | − | 23.3504i | −0.950978 | − | 0.747427i | ||||
\(977\) | 2.86676 | + | 8.82297i | 0.0917157 | + | 0.282272i | 0.986384 | − | 0.164459i | \(-0.0525880\pi\) |
−0.894668 | + | 0.446731i | \(0.852588\pi\) | |||||||
\(978\) | 16.2044 | − | 38.0986i | 0.518160 | − | 1.21826i | ||||
\(979\) | 1.97023 | − | 0.231983i | 0.0629689 | − | 0.00741420i | ||||
\(980\) | −17.2571 | − | 17.9221i | −0.551259 | − | 0.572501i | ||||
\(981\) | 52.6150 | − | 17.0956i | 1.67987 | − | 0.545822i | ||||
\(982\) | −25.9678 | + | 15.5775i | −0.828667 | + | 0.497098i | ||||
\(983\) | −13.6886 | − | 18.8408i | −0.436599 | − | 0.600927i | 0.532853 | − | 0.846208i | \(-0.321120\pi\) |
−0.969452 | + | 0.245281i | \(0.921120\pi\) | |||||||
\(984\) | −2.15830 | − | 42.9669i | −0.0688040 | − | 1.36973i | ||||
\(985\) | 34.6648 | + | 11.2633i | 1.10451 | + | 0.358877i | ||||
\(986\) | 7.75737 | + | 33.7121i | 0.247045 | + | 1.07361i | ||||
\(987\) | 21.7552 | + | 15.8061i | 0.692476 | + | 0.503113i | ||||
\(988\) | −0.887721 | − | 0.473658i | −0.0282422 | − | 0.0150691i | ||||
\(989\) | 1.83707i | 0.0584155i | ||||||||
\(990\) | −48.0403 | + | 1.40386i | −1.52682 | + | 0.0446176i | ||||
\(991\) | − | 42.4003i | − | 1.34689i | −0.739237 | − | 0.673446i | \(-0.764814\pi\) | ||
0.739237 | − | 0.673446i | \(-0.235186\pi\) | |||||||
\(992\) | 24.9497 | + | 3.15509i | 0.792153 | + | 0.100174i | ||||
\(993\) | −9.75417 | − | 7.08682i | −0.309539 | − | 0.224893i | ||||
\(994\) | 6.39748 | − | 1.47210i | 0.202916 | − | 0.0466922i | ||||
\(995\) | −24.3341 | − | 7.90664i | −0.771444 | − | 0.250657i | ||||
\(996\) | 8.93604 | + | 18.3891i | 0.283149 | + | 0.582680i | ||||
\(997\) | −2.61173 | − | 3.59473i | −0.0827142 | − | 0.113846i | 0.765655 | − | 0.643252i | \(-0.222415\pi\) |
−0.848369 | + | 0.529405i | \(0.822415\pi\) | |||||||
\(998\) | 22.4414 | + | 37.4100i | 0.710370 | + | 1.18419i | ||||
\(999\) | 18.8097 | − | 6.11165i | 0.595113 | − | 0.193364i |
(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 | 44.2.g.a.39.1 | yes | 16 | |
3.2 | odd | 2 | 396.2.r.a.127.4 | 16 | |||
4.3 | odd | 2 | inner | 44.2.g.a.39.2 | yes | 16 | |
8.3 | odd | 2 | 704.2.u.c.127.1 | 16 | |||
8.5 | even | 2 | 704.2.u.c.127.4 | 16 | |||
11.2 | odd | 10 | inner | 44.2.g.a.35.2 | yes | 16 | |
11.3 | even | 5 | 484.2.c.d.483.8 | 16 | |||
11.4 | even | 5 | 484.2.g.f.239.3 | 16 | |||
11.5 | even | 5 | 484.2.g.j.403.3 | 16 | |||
11.6 | odd | 10 | 484.2.g.f.403.2 | 16 | |||
11.7 | odd | 10 | 484.2.g.j.239.2 | 16 | |||
11.8 | odd | 10 | 484.2.c.d.483.9 | 16 | |||
11.9 | even | 5 | 484.2.g.i.475.3 | 16 | |||
11.10 | odd | 2 | 484.2.g.i.215.4 | 16 | |||
12.11 | even | 2 | 396.2.r.a.127.3 | 16 | |||
33.2 | even | 10 | 396.2.r.a.343.3 | 16 | |||
44.3 | odd | 10 | 484.2.c.d.483.10 | 16 | |||
44.7 | even | 10 | 484.2.g.j.239.3 | 16 | |||
44.15 | odd | 10 | 484.2.g.f.239.2 | 16 | |||
44.19 | even | 10 | 484.2.c.d.483.7 | 16 | |||
44.27 | odd | 10 | 484.2.g.j.403.2 | 16 | |||
44.31 | odd | 10 | 484.2.g.i.475.4 | 16 | |||
44.35 | even | 10 | inner | 44.2.g.a.35.1 | ✓ | 16 | |
44.39 | even | 10 | 484.2.g.f.403.3 | 16 | |||
44.43 | even | 2 | 484.2.g.i.215.3 | 16 | |||
88.13 | odd | 10 | 704.2.u.c.255.1 | 16 | |||
88.35 | even | 10 | 704.2.u.c.255.4 | 16 | |||
132.35 | odd | 10 | 396.2.r.a.343.4 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
44.2.g.a.35.1 | ✓ | 16 | 44.35 | even | 10 | inner | |
44.2.g.a.35.2 | yes | 16 | 11.2 | odd | 10 | inner | |
44.2.g.a.39.1 | yes | 16 | 1.1 | even | 1 | trivial | |
44.2.g.a.39.2 | yes | 16 | 4.3 | odd | 2 | inner | |
396.2.r.a.127.3 | 16 | 12.11 | even | 2 | |||
396.2.r.a.127.4 | 16 | 3.2 | odd | 2 | |||
396.2.r.a.343.3 | 16 | 33.2 | even | 10 | |||
396.2.r.a.343.4 | 16 | 132.35 | odd | 10 | |||
484.2.c.d.483.7 | 16 | 44.19 | even | 10 | |||
484.2.c.d.483.8 | 16 | 11.3 | even | 5 | |||
484.2.c.d.483.9 | 16 | 11.8 | odd | 10 | |||
484.2.c.d.483.10 | 16 | 44.3 | odd | 10 | |||
484.2.g.f.239.2 | 16 | 44.15 | odd | 10 | |||
484.2.g.f.239.3 | 16 | 11.4 | even | 5 | |||
484.2.g.f.403.2 | 16 | 11.6 | odd | 10 | |||
484.2.g.f.403.3 | 16 | 44.39 | even | 10 | |||
484.2.g.i.215.3 | 16 | 44.43 | even | 2 | |||
484.2.g.i.215.4 | 16 | 11.10 | odd | 2 | |||
484.2.g.i.475.3 | 16 | 11.9 | even | 5 | |||
484.2.g.i.475.4 | 16 | 44.31 | odd | 10 | |||
484.2.g.j.239.2 | 16 | 11.7 | odd | 10 | |||
484.2.g.j.239.3 | 16 | 44.7 | even | 10 | |||
484.2.g.j.403.2 | 16 | 44.27 | odd | 10 | |||
484.2.g.j.403.3 | 16 | 11.5 | even | 5 | |||
704.2.u.c.127.1 | 16 | 8.3 | odd | 2 | |||
704.2.u.c.127.4 | 16 | 8.5 | even | 2 | |||
704.2.u.c.255.1 | 16 | 88.13 | odd | 10 | |||
704.2.u.c.255.4 | 16 | 88.35 | even | 10 |